11
David made a class banner out of a large rectangular piece of paper. He cut a
triangular piece out of one side, as pictured below.
14 in.
5 in.
3 in.
-11 in.-
14 in.
What is the area, in square inches, of the banner?

Answers

Answer 1

Answer:

Okay, let's think through this step-by-step:

The original rectangular piece of paper is 14 inches wide and 5 inches tall.

So the area of the original rectangle = 14 * 5 = 70 square inches

David cut out a triangular piece from one side.

We are given:

** The triangle height = 3 inches

** The triangle base = 5 inches

** The triangle extends 11 inches from the edge

To find the area of the triangle:

** Triangle area = (base * height) / 2

** = (5 * 3) / 2 = 7.5 square inches

To find the area of the remaining rectangle shape:

** Length after triangle cut = 14 - 11 = 3 inches

** Remaining rectangle area = 3 * 5 = 15 square inches

Total area of banner = Area of original rectangle - Area of triangle + Area of remaining rectangle

= 70 - 7.5 + 15 = 77.5 square inches

So in summary, the area of the banner in square inches is 77.5

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

77.5


Related Questions

what is the answer to the file attached.

Answers

Answer:

88

Step-by-step explanation:

The formula for a parallelogram to find the area is:

B x h

So, the numbers we are given is the:

base: 11

height: 8

slant height: 9

We do not need the slant height for finding the area, so we can just substitute the base and height values into the equation:

8 x 11

=88

So, the area of this parallelogram is 88 square units

Hope this helps :)

5c+4d=8;-5c+2d=1 what is the anwer for d and c

Answers

The solution of the equation is c= 2/5 and d= 3/2.

We have Equation.

5c + 4d = 8

-5c + 2d = 1

Solving above equation we get

5c + 4d = 8

-5c + 2d = 1

___________

         6d = 9

          d = 3/2

and, 5c + 4(3/2)= 8

5c = 8 - 6

5c = 2

c= 2/5

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ1

The equation of circle D is (x + 2)2 + y² = 32.
Select all the points that lie on circle D.
□ (-6,-4)
□ (-2,16)
□ (-4,6)
□ (0,14)
□ (2,4)

Answers

The equation of circle D is (x + 2)2 + y² = 32 then the points (-6,-4) and (-4,6) lie on circle D

The equation of a circle with center (h,k) and radius r is (x - h)² + (y - k)² = r².

This is called the standard form of the equation of a circle.

In the given equation, (x + 2)² + y² = 32, we can see that the center of the circle is (-2, 0) and the radius is √32 = 4√2.

To determine which points lie on the circle, we substitute the x and y coordinates of each point into the equation and check if the equation is true.

If it is true, then the point lies on the circle.

Let us check if (-6, -4) lies on the circle, we substitute x = -6 and y = -4 into the equation:

(-6 + 2)² + (-4)² = 32

(-4)² + (-4)² = 32

16 + 16 = 32

32 = 32

Since the equation is true, (-6, -4) lies on the circle.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ1

In each game of a certain tournament, a contestant either loses 3 points or gains 2 points. If Pat had 100 points at the beginning of the tournament, how many games did Pat play in the tournament

Answers

Pat played a total of 11 + 7 = 18 games in the tournament.

Let's denote the number of games Pat lost as L and the number of games Pat won as W.

We are given the following information:
Pat started with 100 points.
In each game, Pat either loses 3 points (L games) or gains 2 points (W games).
We can set up the following equations based on this information:
Total points = Initial points + Gained points - Lost points
Total points = 100 + 2W - 3L
We need to find the total number of games Pat played, which is the sum of games won and lost (W + L).

To solve for W + L, we need to find a relationship between W and L.
We can rearrange the Total points equation to find such a relationship:
2W - 3L = Total points - 100
2W = 3L + (Total points - 100)
Now, we know that both W and L must be integers since Pat can't win or lose a fraction of a game.

As 2W and 3L are both integers, their sum (3L + (Total points - 100)) must be even.

Thus, the total points must be an even number.
We can try different even values for the total points and check if the corresponding W and L values are integers. After trying different values, we find that:
Total points = 122
W = 11
L = 7.

For similar question on tournament.

https://brainly.com/question/30004293

#SPJ11

A fruit stand owner is putting together orange baskets that contain eight oranges each. The owner begins with 185 oranges. How many complete baskets can be made?

Answers

The fruit stand owner can make 23 complete orange baskets.

Division is a mathematical operation which involves the sharing of an amount into equal-sized groups. For example, “12 divided by 4” means “12 shared into 4 equal groups”, which would be 3.

To determine the number of complete orange baskets that can be made, divide the total number of oranges by the number of oranges per basket.

Total oranges: 185

Oranges per basket: 8

Divide 185 by 8 to find the number of complete baskets:

185 ÷ 8 = 23

Know more about Divide here:

https://brainly.com/question/15381501

#SPJ11

Assume the distribution of IQ scores for adults can be modeled with a normal distribution with a mean score of 100 points and a standard deviation of 10 points. 90% of adults will have an IQ score higher than what value?

Answers

The IQ score that is higher than 90% of the population is 112.8.

We know that the IQ scores follow a normal distribution with a mean of 100 and a standard deviation of 10.

Let X be the random variable representing the IQ scores. We want to find the value x such that 90% of the observations lie above x.

Using the standard normal distribution table or calculator, we can find the z-score corresponding to the 90th percentile as 1.28.

The z-score formula is z = (x - μ) / σ, where μ is the mean, σ is the standard deviation and x is the value we want to find.

Plugging in the values, we get 1.28 = (x - 100) / 10. Solving for x, we get x = 100 + 12.8 = 112.8.

Therefore, the IQ score that is higher than 90% of the population is 112.8.

To know more about IQ score refer to-

https://brainly.com/question/31151315

#SPJ11

Callie uses leather cord to make necklace she has a piece of leather cord that gas a lengh of 4 yards each necklace will have a lengh of 28 inches how many necklace can callie make

Answers

Since Callie cannot make a fraction of a necklace, she can make a maximum of 5 necklaces from the given length of leather cord.

To determine the number of necklaces Callie can make from the given length of leather cord, we need to convert the measurements to a consistent unit.

Given:

Length of leather cord = 4 yards

Length of each necklace = 28 inches

First, let's convert the length of the leather cord from yards to inches:

1 yard = 36 inches (since there are 3 feet in a yard and 1 foot = 12 inches)

4 yards = 4 * 36 = 144 inches

Now we can calculate the number of necklaces:

Number of necklaces = Length of leather cord / Length of each necklace

Number of necklaces = 144 inches / 28 inches ≈ 5.143

Know more about length here:

https://brainly.com/question/9842733

#SPJ11

A rectangle frame has a length of 3/4 of 1/2 what is the
perimeter of the frame

Answers

Answer:

2 1/2 ft

Step-by-step explanation:

Is this what you meant?

Length = 1/2 ft

Width = 3/4 ft

If so, then:

Perimeter = length + length + width + width

P = 1/2 ft + 1/2 ft + 3/4 ft + 3/4 ft

P = 2/4 ft + 2/4 ft + 3/4 ft + 3/4 ft

P = 10/4 ft

P = 5/2 ft

P = 2 1/2 ft

7 packs of $13.18. What is the cost,
in dollars, per pack?
Round to the nearest cent as necessary

Answers

Answer:

$1.88

Step-by-step explanation:

We Know

7 packs of $13.18

What is the cost, in dollars, per pack?

We Take

13.18 ÷ 7 = $1.88

So, the cost per pack is $1.88

Which equation represents the linear function in the table?

Answers

Answer: B. y = 3x - 5

Step-by-step explanation:

    First ,we know Option C will not be an option because of the y-intercept (the point at which the line intersects the y-axis) is -5. This is shown by the point (0, -5). Option C shows it as 1.

    We will substitute a point into the given equations and see if the simplified version remains true.

✗ A ➜ y = -3x - 5

  ➜ -2 = -3(1) - 5

  ➜ -2 ≠ -8

✓ B ➜ y = 3x - 5

  ➜ -2 = 3(1) - 5

  ➜ -2 = -2

✗ D ➜ y = -x - 5

  ➜ -2 = -1 - 5

  ➜ -2 ≠ -6

    Using this method of substitution, we can see the answer is B.

The nextDouble( ) method of r, a variable of type Random, returns a double in a range of [0,1). Which of these expressions would you use to create a random number in the range of [-3,3)?
a. r.nextDouble( ) * 3.0 - 3.0
b. (r.nextDouble( ) - 0.5) * 6.0
c. r.nextDouble( ) * 6.0 + 3.0
d. r.nextDouble( ) * 6.0 + 0.5
e. (r.nextDouble( ) - 3.0) * 6.0

Answers

The correct expression to create a random number in the range of [-3,3) would be option A: r.nextDouble() * 6.0 - 3.0.


Explanation: The nextDouble() method of Random class returns a double in the range of [0,1), which means it can generate any random value between 0 (inclusive) and 1 (exclusive). To create a random number in the range of [-3,3), we need to scale and shift the output of the nextDouble() method.

Option A is the correct expression as it first scales the output by multiplying it by 3.0 (which will give a range of [0,3)) and then shifts it down by subtracting 3.0 (which will give a range of [-3,0)). Therefore, we need to modify the expression to r.nextDouble() * 6.0 - 3.0 to generate a random number in the range of [-3,3).

Option B multiplies the output of nextDouble() by 6.0, which gives a range of [0,6)) and then subtracts 0.5, which shifts the range to [-0.5,5.5). This is not the correct expression to generate a random number in the range of [-3,3).

Option C multiplies the output of nextDouble() by 6.0, which gives a range of [0,6)) and then adds 3.0, which shifts the range to [3,9). This is not the correct expression to generate a random number in the range of [-3,3).

Option D multiplies the output of nextDouble() by 6.0, which gives a range of [0,6)) and then adds 0.5, which shifts the range to [0.5,6.5). This is not the correct expression to generate a random number in the range of [-3,3).

Option E subtracts 3.0 from the output of nextDouble() and then multiplies it by 6.0, which gives a range of [-3,3). However, this expression is not the correct way to scale and shift the output of the nextDouble() method.

To learn more about random class : brainly.com/question/29803598

#SPJ11

Tyson traveled at an average speed of 60 miles per hour for 1.5 hours
and then traveled at an average speed of 70 miles per hour for 2.5
hours. What was the total distance in miles that Tyson traveled during
this time?
A 260.5 mi
B. 420 mi
C.
265 mi
D 257.5 mi

Answers

Here Is the Answer:

C.

Step-by-step explanation:

To calculate the total distance Tyson traveled, we need to use the formula: distance = speed x time. First, we calculate the distance traveled during the first segment at 60 mph for 1.5 hours: distance = 60 x 1.5 = 90 miles. Then, we calculate the distance traveled during the second segment at 70 mph for 2.5 hours: distance = 70 x 2.5 = 175 miles. Adding these two distances together, we get: 90 + 175 = 265 miles. Therefore, the answer is C, 265 miles.

Suppose that 60 percent of the voters in a particular region support a candidate. Find the probability that a sample of 1,000 voters would yield a sample proportion in favor of the candidate within 4 percentage points of the actual proportion.

Answers

The probability that a sample of 1,000 voters would yield a sample proportion in favor of the candidate within 4 percentage points of the actual proportion is  98.6%.

We are given that the population proportion, p, is 0.6, and we want to find the probability that a sample of 1000 voters would yield a sample proportion within 0.04 of p. Let's first find the standard error of the sample proportion:

SE = √(p*(1-p) / n)

where p is the population proportion, 1-p is the proportion of voters who do not support the candidate, and n is the sample size.

Substituting the given values, we get:

SE = √(0.6 * 0.4 / 1000) = 0.01549193338

To find the probability that the sample proportion is within 0.04 of p, we can use the normal distribution and the z-score formula:

z = (sample proportion - p) / SE

where the sample proportion follows a normal distribution with mean p and standard deviation SE.

Substituting the values, we get:

z = (0.64 - 0.6) / 0.01549193338 = 2.590020246

z = (0.56 - 0.6) / 0.01549193338 = -2.590020246

Using a standard normal distribution table or calculator, we can find the area under the curve between z = -2.590020246 and z = 2.590020246 to be approximately 0.986.

Therefore, the probability that a sample of 1000 voters would yield a sample proportion within 0.04 of the actual proportion is approximately 0.986 or 98.6%.

Learn more about probability here

brainly.com/question/11234923

#SPJ11

In a research study conducted to determine if arrests were related to the socioeconomic class of the offender, the chi square critical score was 9.488 and the chi square test statistic was 12.2. We can conclude that

Answers

We can conclude that the socioeconomic class of the offender is related to the likelihood of arrests.

Based on the information provided, we can conclude that there is a significant relationship between arrests and the socioeconomic class of the offender.
Identify the chi-square critical score: 9.488

Identify the chi-square test statistic: 12.2
Compare the test statistic to the critical score:

If the test statistic (12.2) is greater than the critical score (9.488), then there is a significant relationship between the variables.
In this case, 12.2 > 9.488, so there is a significant relationship between arrests and the socioeconomic class of the offender.
For similar question on socioeconomic.

https://brainly.com/question/31093929  

#SPJ11

\frac{\left(-6x^{2}y^{3}\right)^{4}}{8x^{9}y^{7}\cdot3xy^{5}}

Answers

Answer:

54/x²

-----------------------

Simplify the expression in below steps:

[tex]\cfrac{\left(-6x^{2}y^{3}\right)^{4}}{8x^{9}y^{7}\cdot3xy^{5}}=[/tex]                      Power of power and product of exponents rules

[tex]\cfrac{\left6^4x^{2\cdot4}y^{3\cdot4}\right}{(8\cdot3)x^{9+1}y^{5+7}}=[/tex]                 Multiply or add up powers

[tex]\cfrac{\left2^43^4x^8y^{12}\right}{(2^3\cdot3)x^{10}y^{12}}=[/tex]                    Subtract powers or cancel same terms

[tex]\cfrac{\left2\cdot3^3\right}{x^2}}=[/tex]                               Simplify

[tex]54/x^2[/tex]                                   Answer

The five-number summary for scores on a statistics exam is 11, 35, 61, 70, 79. in all. 380 students took the test. about how many had scores between 35 and 61
a)26
b)76
c)95
d)190
e) none of these

Answers

0.3514 * 380 ≈ 133.7 To find out how many students had scores between 35 and 61, we need to first calculate the interquartile range (IQR) which is the difference between the third quartile (Q3) and the first quartile (Q1).
Q1 is the median of the lower half of the data, which in this case is (11+35)/2 = 23.
Q3 is the median of the upper half of the data, which in this case is (70+79)/2 = 74.5.
So, IQR = Q3 - Q1 = 74.5 - 23 = 51.5.

Scores between 35 and 61 fall within one IQR from Q1. So, we need to find out what proportion of the scores fall within this range.
To do this, we need to calculate the z-scores for 35 and 61, using the formula z = (x - μ)/σ, where x is the score, μ is the mean, and σ is the standard deviation.
We don't have the mean and standard deviation, but we can estimate them using the five-number summary. The median (Q2) is (61+35)/2 = 48, and the mean is likely to be close to this value since the data is roughly symmetric. The range (max-min) is 79-11 = 68, so the standard deviation is roughly σ = range/4 = 17.
Using these estimates, we can calculate the z-scores as follows:
z1 = (35 - 48)/17 = -0.76
z2 = (61 - 48)/17 = 0.76

We can look up the proportion of scores between these two z-scores in a standard normal distribution table, or use a calculator or software to calculate it. It turns out to be about 0.3514, or 35.14%.
To find out how many students had scores between 35 and 61, we can multiply this proportion by the total number of students:
0.3514 * 380 ≈ 133.7
So, the answer is not one of the choices given.

Learn more about the interquartile range here: brainly.com/question/10185991

#SPJ11

The answer is not one of the choices given.0.3514 * 380 ≈ 133.7 To find out how many students had scores between 35 and 61, we need to first calculate the interquartile range (IQR) which is the difference between the third quartile (Q3) and the first quartile (Q1).

Q1 is the median of the lower half of the data, which in this case is (11+35)/2 = 23.

Q3 is the median of the upper half of the data, which in this case is (70+79)/2 = 74.5.

So, IQR = Q3 - Q1 = 74.5 - 23 = 51.5.

Scores between 35 and 61 fall within one IQR from Q1. So, we need to find out what proportion of the scores fall within this range.

To do this, we need to calculate the z-scores for 35 and 61, using the formula z = (x - μ)/σ, where x is the score, μ is the mean, and σ is the standard deviation.

We don't have the mean and standard deviation, but we can estimate them using the five-number summary. The median (Q2) is (61+35)/2 = 48, and the mean is likely to be close to this value since the data is roughly symmetric. The range (max-min) is 79-11 = 68, so the standard deviation is roughly σ = range/4 = 17.

Using these estimates, we can calculate the z-scores as follows:

z1 = (35 - 48)/17 = -0.76

z2 = (61 - 48)/17 = 0.76

We can look up the proportion of scores between these two z-scores in a standard normal distribution table, or use a calculator or software to calculate it. It turns out to be about 0.3514, or 35.14%.

To find out how many students had scores between 35 and 61, we can multiply this proportion by the total number of students:

0.3514 * 380 ≈ 133.7

So, the answer is not one of the choices given.

Learn more about the interquartile range here: brainly.com/question/10185991

#SPJ11

Bob makes a scale drawing of a statue using the scale 1 cm: 5 ft.
His drawing measures 16 cm. Kia makes a scale drawing of the
same statue using the scale 1 cm: 8 ft. How many centimeters tall
is the statue in Kia's drawing?
1. 40 cm
2. 128 cm
3. 10 cm
4. 80 cm

Answers

The answer is 2: 128

What is the tenth term?

1) 1, 2, 8, 14, 20

2) 15, 23, 31,

Find the missing term:

3) 4, __, 22,

4) 25, __, 53,​

Answers

The solution to each of the arithmetic sequence are:

1) a₁₀ = 56

2) a₁₀ = 87

3) missing term is 13

4) missing term is 14

What is the nth term of the arithmetic sequence?

The formula for the nth term of an arithmetic sequence is:

aₙ = a + (n - 1)d

where:

a is first term

n is nth term

d is common difference

1) a = 2

d = 6

a₁₀ = 2 + (10 - 1)6

a₁₀ = 2 + 54

a₁₀ = 56

2) a = 15

d = 8

a₁₀ = 15 + (10 - 1)8

a₁₀ = 87

3) The missing term will be gotten by finding the common difference.

d = (22 - 4)/2

d = 18/2

d = 9

missing term = 4 + 9 = 13

4) The missing term will be gotten by finding the common difference.

d = (53 - 25)/2

d = 28/2

d = 14

missing term = 4 + 9 = 14

Read more about Arithmetic Sequence at: https://brainly.com/question/6561461

#SPJ1

Image shows line WS and line KV as parallel. Line RT intersects line WS and line KV forming right angles.
Line WS is parallel to line KV. Line RT is perpendicular to line KV. Explain the relationship of line RT to line WS. Provide at least one reason to support your answer.

Answers

Since line WS and line KV are parallel, any line that intersects them, such as line RT, will form alternate interior angles that are congruent. This means that the angle formed by line RT and line WS on one side of the intersection will be equal to the angle formed by line RT and line KV on the other side of the intersection.

Therefore, the relationship between line RT and line WS is that they form congruent alternate interior angles. This relationship holds true regardless of where line RT intersects line WS.

One reason to support this answer is the fact that parallel lines have corresponding angles that are congruent. In this case, line RT and line KV form corresponding angles with line WS, which means that any angle formed by line RT and line WS will be congruent to the corresponding angle formed by line KV and line WS. This, in turn, means that the angles formed by line RT and line WS are congruent to the angles formed by line RT and line KV.

Answer:

RT is perpendicular to WS because when parallel lines are cut by a transversal, the corresponding angles are equal.

Step-by-step explanation:

Given circle E with diameter CD and radius EA. AB is tangent to E at A. If AD=10 and CD=26, solve for AC. Round your answer to the nearest tenth if necessary. If the answer cannot be determined, click "Cannot be determined."

Answers

The answer to AC of the circle geometry with tangent is 26.

Solving the Circle Geometry

Since CD is the diameter of the circle,  then triangle ADC is a right-angle triangle with right angle at D.

Using Pythagorean theorem to find AC:

AC² = AD² + DC²

AC² = 10² + 26²

AC² = 676

AC = √676

AC = 26

Therefore, AC = 26.

Pythagorean Theorem is a fundamental theorem in Euclidean geometry that relates to the three sides of a right triangle. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In other words:

a² + b² = c²

Learn more about tangent here:

https://brainly.com/question/4470346

#SPJ1

Anissa said that distance, d, could be an either an independent or dependent variable. Explain Anissa's statement.

Answers

Anissa's statement suggests that the variable "distance," denoted as "d," can be considered both an independent variable and a dependent variable, depending on the context or the specific relationship being examined.

Independent Variable: In certain situations or experiments, the distance can be treated as an independent variable. This means that the distance is manipulated or controlled by the researcher or experimenter, and it is used to determine or study the effect it has on other variables. In this case, the distance would be considered the cause or predictor variable, and its value is intentionally set or changed to observe how it influences the dependent variable(s).

Example: In a study on the impact of distance on running performance, researchers may vary the distance of a race (e.g., 5 km, 10 km, or 15 km) and measure the effect it has on the runners' performance times. Here, distance would be the independent variable, as it is being deliberately altered to observe its influence on the dependent variable (performance time).

Dependent Variable: Conversely, in other scenarios, the distance can be considered a dependent variable. This means that the distance is the outcome or result of other factors or variables that are being studied or manipulated. In this case, the distance is observed or measured as the response to changes in other variables.

Example: Suppose researchers are investigating the relationship between the time spent studying and the distance walked to school for a group of students. The researchers measure the students' study time and observe the corresponding distance they walk to school. In this context, the distance would be the dependent variable, as it is influenced by the independent variable (study time) and is used to assess the relationship between the two.

In summary, Anissa's statement indicates that the variable "distance" can be considered either an independent variable or a dependent variable, depending on the specific context and the relationship being examined in a given study or experiment.

Know more about independent variable here:

https://brainly.com/question/29430246

#SPJ11

The radius of Circle A is 4 in. The radius of Circle B is 5 in. greater than the radius of Circle A. The radius of Circle C is 5 in. greater than the radius of Circle B. The radius of Circle D is 1 in. less than the radius of Circle C. What is the area of each circle? How many times greater than the area of Circle A is the area of Circle D?

Answers

The area of circle D is 10.56 times greater than the area of the circle A.

Given that, the radius of circles A, B, C and D,

Radius of A = 4 in

Radius of B = 9 in

Radius of C = 14 in

Radius of D = 13 in

Area of the circles = A = πr²

A = 3.14×4²

A = 50.24 in²

B = 3.14×9²

B = 254.34 in²

C = 3.14×14²

C = 615.44 in²

D = 3.14×13

D = 530.66 in²

The area of circle D is 530.66/50.24 = 10.56 times greater than the area of the circle A.

Learn more about circle, click;

https://brainly.com/question/29142813

#SPJ1

Show that the numbers are all rational by writing each number as a ratio of integers.
320.5492492492...

Answers

The number 320.5492492492... is rational and can be expressed as the fraction 1829/333.

To show that the number 320.5492492492... is rational, we can follow the same approach as before and express it as a sum of rational numbers.

Let x = 320.5492492492...

We can separate the integer part of x and the repeating decimal part:

x = 320 + 0.5492492492...

To express the repeating decimal part as a fraction, we can subtract a portion of it from the original number, like this:

1000x - 320000 = 549.2492492...

100000x - 32000000 = 549249.2492492...

Now we can subtract the first equation from the second equation:

99900x = 549249.2492492... - 549.2492492...

This simplifies to:

99900x = 548700

x = 548700/99900

Simplifying the fraction by dividing both numerator and denominator by their greatest common factor, we get:

x = 1829/333

Therefore, the number 320.5492492492... is rational and can be expressed as the fraction 1829/333.

To know more about rational   refer to-

https://brainly.com/question/24540810

#SPJ11

select the phrase that completes the sentence. The value of the dependent variable in a function is always _________ the value of the independent variable

Answers

The phrase that completes the sentence is "determined by."

Dependent variable is always _________ independent variable in a function. In a mathematical function, the dependent variable is determined by the value of the independent variable. This means that when you input a value for the independent variable, the function will output a corresponding value for the dependent variable. The relationship between the two variables is often described using an equation, and it can be visualized on a graph. By understanding the relationship between the independent and dependent variables in a function, you can better understand how the function behaves and make predictions about its outputs for different inputs.

Learn more about variable

brainly.com/question/17344045

#SPJ11

=
#7 i
Find the surface area of the sphere. Round your answer to the nearest
hundredth.
40 ft
The surface area is about
Previous
Support powered by
square feet.

Answers

In the given diagram, the surface area of the given sphere is approximately 5026.55 ft²

Calculating the surface area of a sphere

From the question, we are to calculate the surface area of the sphere

The surface area of a sphere is given by the formula

Surface area = 4πr²

Where r is the radius of the sphere

From the given information,

Diameter of the sphere = 40 ft

Thus,

Radius of the sphere = 40 ft / 2

Radius of the sphere = 20 ft

Therefore,

Surface area of the sphere = 4 × π × 20²

Surface area of the sphere = 4 × π × 400

Surface area of the sphere = 1600π ft²

Surface area of the sphere = 5026.5482 ft²

Surface area of the sphere ≈ 5026.55 ft²

Hence, the surface area of the sphere is 5026.55 ft²

Learn more on Calculating the surface area of a sphere here:

https://brainly.com/question/12663882

#SPJ1

4.27 Working backwards, one-sided. You are given the following hypotheses: H0 :μ=30
HA :μ>30
We know that the sample standard deviation is 10 and the sample size is 70. For what sample mean would the p-value be equal to 0.05? Assume that all conditions necessary for inference are satisfied.

Answers

The population mean is greater than 30.To determine the sample mean that would result in a p-value of 0.05, we need to work backwards from the given significance level.

First, we need to find the test statistic. Since the alternative hypothesis is one-sided (μ>30), we will use a one-sample z-test. The test statistic is calculated as:

z = (xbar - μ) / (s / sqrt(n))

where xbar is the sample mean, μ is the hypothesized population mean under the null hypothesis, s is the sample standard deviation, and n is the sample size.

Since we want the p-value to be equal to 0.05, we need to find the z-score that corresponds to a one-tailed area of 0.05. Using a standard normal distribution table or calculator, we find that this z-score is 1.645.

Substituting this value into the formula for the test statistic, we get:

1.645 = (xbar - 30) / (10 / sqrt(70))

Solving for xbar, we get:

xbar = 30 + 1.645 * (10 / sqrt(70))

xbar = 31.77

Therefore, the sample mean that would result in a p-value of 0.05 is 31.77. This means that if we were to obtain a sample mean of 31.77 or higher, we would reject the null hypothesis at a significance level of 0.05 in favor of the alternative hypothesis that the population mean is greater than 30.

learn more about sample mean here: brainly.com/question/17514579

#SPJ11

What's the calculation for an F ratio?

Answers

The requried to calculate an F ratio, we need to perform an analysis of variance (ANOVA) test.

To calculate an F ratio, we need to perform an analysis of variance (ANOVA) test. The F ratio is the ratio of two variances, and it is calculated by dividing the mean square of the between-group variability by the mean square of the within-group variability.

The formula for the F ratio is:

F = MSB / MSW

Where MSB is the mean square of the between-group variability and MSW is the mean square of the within-group variability.

The F ratio is used to test the null hypothesis that the means of the groups are equal. If the F ratio is greater than the critical value for a given level of significance (based on the degrees of freedom), we reject the null hypothesis and conclude that at least one group's mean is different from the others.

Learn more about the F ratio here:

https://brainly.com/question/14067693

#SPJ1

lim sin(pi/3+h) - sin(pi/3)/ h as h approaches 0 is
A. 0
B. 1/2
C. 1
D. Square root of 3/2
E. Nonexistent

Answers

lim sin(pi/3+h) - sin(pi/3)/ h as h approaches 0 is  Non existent. The correct answer is option e.

To evaluate the limit, we can use the formula for the derivative of sin(x), which is:

lim f(x+h) - f(x) / h as h approaches 0 = f'(x)

where f(x) = sin(x).

So, in this case, we have:

lim sin(pi/3+h) - sin(pi/3) / h as h approaches 0

which can be rewritten as:

lim [sin(pi/3+h) - sin(pi/3)] / h as h approaches 0

Using the identity for the difference of two sines, we can simplify this expression to:

lim [2cos(2pi/6+h/2)sin(h/2)] / h as h approaches 0

Now, we can cancel out the factor of sin(h/2) in the numerator and denominator, and we are left with:

lim 2cos(2pi/6+h/2) / h as h approaches 0

We can evaluate the limit using direct substitution, and we get:

2cos(pi/3) / 0

Since the denominator is 0, the limit does not exist. Therefore, the answer is option E: Nonexistent.

To know more about derivative  refer to-

https://brainly.com/question/30365299

#SPJ11

5. Give an example of a logarithmic equation with a base of 3 that has more than one
solution. Then solve for the variable in the equation, explaining each of the steps that
can be performed to arrive at the answer.

Answers

The solving of equation 3²x=4 in both the given cases gives the answer

x = 0.631.

We have,

A mathematical statement composed of two representations joined by an equal sign is known as an equation.

3x - 5 = 16 is an example of an equation.

We obtain the value for the variable x as x = 7 after solving this equation.

So,

(1) Common logarithm:

2x log 3 = log 4, or 2x(0.47712) = 0.60206

When we solve for x, we get 0.95424x = 0.60206, and x = 0.60206/0.95424.

x = 0.631

(2) Logarithm with base 3:

2x (log to the base 3 of 3) = (log to the base 3 of 4)

This can be reduced to 2x(1) = 2x = (log 4)/log 3 = 1.262.

Divide the result by 2 to get x = 0.631

Therefore, the solving of equation 3²x=4 in both the given cases gives the answer x = 0.631.

Know more about equations here:

brainly.com/question/2972832

#SPJ1

complete question:

Show that solving the equation 3 ²x=4 by taking the common logarithm of each side is equivalent to solving it by taking the logarithm with base 3 of each side.

Marilyn created this box and whiskers plot to represent the number of inches of snow that fell during the winter in several different cities. (a) What was the least amount of snowfall in any of the cities? Show your work

(b) What is the median amount of snowfall? Show your work

(c) In which quarter is the data most concentrated? Explain how you know.

Answers

a. the smallest value is approximately 5 inches. b. the median is approximately 12 inches. c. the data is more spread out in those ranges.

(a) To find the least amount of snowfall, we look at the smallest value on the box and whisker plot. From the plot, we can see that the smallest value is approximately 5 inches.

(b) To find the median amount of snowfall, we look for the line that divides the box in half. From the plot, we can see that the median is approximately 12 inches.

(c) The data is most concentrated in the second quarter. We can see this because the box is the largest in the second quarter, indicating that the data is most tightly clustered in that range. The first and fourth quarters have smaller boxes, indicating that the data is more spread out in those ranges.

Learn more about median here

https://brainly.com/question/14532771

#SPJ11

Other Questions
which lead monitors an electrode horizontal to v4 at the left anterior axillary line? An unbiased coin is tossed 15 times. In how many ways can the coin land tails either exactly 7 times or exactly 2 times Vomiting, seizures, lethargy, coma. Acidosis w/ stress, illness. Causes neurological damage. what is the diagnosis? What's the name of the Salvador Dali painting with all those melty clocks? in georgia long-term care policies are required to provide benefits for at least we can create a new column that contains the percent of all survivors at each city after Smolensk Clasp selection for distal extension in order of preference: The government begins funding training programs to teach computer repair and website design to unemployed adults. Which kind of unemployment would such training help 20) In a table for customers, the information about a single customer resides in a single:A) field.B) row.C) column.D) table.E) entity. How are Crossmodal phenomena distinguished from multimodal phenomena? Where does mesoderm come from in pseduocoelomates? The long-range purpose of the Albany Congress in 1754 was toa. achieve colonial unity and common defense against the French threat.b. propose independence of the colonies from Britain.c. declare war on the Iroquois tribe.d. prohibit New England and New York from trading with the French West Indies.e. gain peace with France. What organisms will you find near the shore of a pond? FILL IN THE BLANK An electrolytic capacitor is often used to store ____ at ____. Antonio is working with a new geometric series generated by the equation A(n)=20(1. 1)n-1. His sister challenged him to find the sum of the first 22 terms 2SO2(g)+O2(g)2SO3(g)What is the value of Q for this reaction, or ANY reaction when run under standard conditions? When two horizonta forces are exerted on a cart, 600N forward and 400N backward, the cart undergoes acceleration. What additional force is needed to produce nonaccelerated motion? The base of a 25-foot ladder is positioned 10 feet from the bottom of the building it leans against.How high can the ladder reach? When the bristles of a square paddle brush encounter too much resistance, they:A. Bend B. CollapseC. Frizz D. Straighten 36) The term cracker is used to identify a hacker whose specialty is breaking open security systems. A) TRUEB) FALSE