What does 2x + 41 equal. Please help, I am timed

Answers

Answer 1

The answer to the expression, 2 x ? = 41 is 20.5

Why is this so?

What is the sum of 2 and 41?

To put it another way, what do you multiply by 2 to get 41?

If "x" is "what" in the line "2 times what equals 41?" then the equation to solve the problem is

2x/2 = 41/2

2x/2 is x and 41/2 is 20.5 which means our equation will look like this:

x = 20.5

So the answer to "2 times what equals 41?" is 20.5.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

2 times what equals 41?


Related Questions

Solve for z.
A = x+y+z

Answers

Answer:

A- x - y = z

Step-by-step explanation:

A = x + y + z

- x

A - x = y + z

- y

A- x - y = z

which exspreshion is equivelent to -3(2x-8)+4x

a -2x-8
b -2x+24
c -10x-8
d -10x+24

Answers

-2x+24 is equivalent to expression -3(2x-8)+4x.

Option B is the correct answer.

We have,

First, simplify the expression inside the parentheses:

-3(2x-8) = -6x + 24

Then substitute this into the original expression:

-3(2x-8)+4x = -6x + 24 + 4x = -2x + 24

Therefore,

The equivalent expression is -2x+24.

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The diameter of a circular cookie cake is 14 inches. How many square inches make up half of the cookie cake? Approximate using π = 3.14.

615.44 square inches
307.72 square inches
153.86 square inches
76.93 square inches

Answers

Answer:

Step-by-step explanation:

The area of a circle is given by the formula:

area = π x (radius)²

where the radius is half of the diameter. In this case, the radius of the cookie cake is:

radius = 14 / 2 = 7 inches

Using π = 3.14, the area of the entire cookie cake is:

area = 3.14 x 7² = 3.14 x 49 ≈ 153.86 square inches

To find half of the cookie cake, we need to divide this area by 2:

half area = 153.86 / 2 = 76.93 square inches

Rounding the answer to the nearest whole number, we get:

half area ≈ 77 square inches

Therefore, the answer is approximately 77 square inches. The closest option is D) 76.93 square inches.

A designer is working on a line of athletic equipment. He is designing a cylindrical punching bag. The designer wants to use a maximum of 1.3M^2 of material to make the bag, and has determined that the diameter of the bag should be 36cm. Determine the maximum possible height of the bag, to the nearest centimetre.
Please help me

Answers

The maximum possible height of the bag is 11.51 cm to the nearest centimeter.

What is the surface area of ​​a cylinder?

 The surface area of ​​a cylinder is defined as the sum of the surface area of ​​the curved surface and the area of ​​the two rounded bases of the cylinder.  Area of ​​cylinder = convex area of ​​circular bases. SA. (π) = 2πr (h +r) square unit. Where π (Pi) = 3.142 or = 22/7. r = radius of the cylinder.  

The surface area of ​​the cylinder is given by the following formula:

SA = 2πrh + 2πr²

where r is the base radius, h is the height, and π is a constant approximately equal to 3.14.

 Since the diameter of the bag is 36 cm, the radius is half  that, ie. 18 cm.

We know that the maximum amount of material  is 1.3 M². This means that the surface area (SA) of the cylinder must be less than or equal to 1.3 M²:

2πrh + 2πr² ≤ 1.3M²

We can rearrange this equation to solve for h:

h ≤ (1.3M² - 2πr²) / (2πr)

Substitute the values ​​of r and π:

h ≤ (1.3M² – 2π(18cm)²) / (2π(18cm))

h ≤ (1.3M² – 2π(324cm²)) / (36π)

h ≤ (1.3M² – 648π) / (36π)

h ≤ 11.51 cm

Therefore, the maximum possible height of the bag is 11.51 cm to the nearest centimeter.

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Find the measure of the smallest angle

Answers

Answer:

44°

Step-by-step explanation:

We Know

The sum of three angles in a triangle must add up to 180°.

Let's solve

3x + 15 + 4x - 12 + 79 = 180°

7x + 82 = 180°

7x = 98°

x = 14

Now we put 14 in for the x and find the other 2 missing angles.

3x + 15

3(14) + 15

42 + 15

57°

4x - 12

4(14) - 12

56 - 12

44°

So, the measure of the three angles are: 44°, 57°, and 79°. So, the measure of the smallest angle is 44°

Write the number 2414six in base five

Answers

The base five representation of 2414₆ is 43234₅.

Base five representation is a way of representing numbers using only the digits 0, 1, 2, 3, and 4. This system is also known as quinary or pentimal.

To convert the number 2414₆ to base five, we need to first convert it to base 10 and then convert the result to base five.

To convert 2414₆ to base 10, we can use the formula

2 × 6³ + 4 × 6² + 1 × 6¹ + 4 × 6⁰ = 432 + 144 + 6 + 4 = 586₁₀

Now we can convert 586₁₀ to base five using the following steps

586 ÷ 5 = 117 remainder 1

117 ÷ 5 = 23 remainder 2

23 ÷ 5 = 4 remainder 3

4 ÷ 5 = 0 remainder 4

2414₆ = 43234₅.

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Bank of America's Consumer Spending Survey collected data on annualcredit card charges in seven different categories of expenditures:transportation, groceries, dining out, household expenses, homefurnishings, apparel, and entertainment (U.S. AirwaysAttache, December 2003). Using data from a sample of 42 creditcard accounts, assume that each account was used to identify theannual credit card charges for groceries (population 1) and theannual credit card charges for dining out (population 2). Using thedifference data, the sample mean difference was = $850, and the sample standard deviationwas sd = $1,123.
a. Formulate the null abd alternative hypothesis to test for no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.
b. Use a .05 level of significance. Can you can conclude that the population mean differ? what is the p-value?

Answers

At the 0.05 level of significance, we can conclude that there is a significant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out. The exact p-value is not provided, but since the t-statistic falls in the rejection region, we can infer that the p-value is less than 0.05.

a. The null hypothesis (H0) is that there is no significant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out. The alternative hypothesis (Ha) is that there is a significant difference between the two population means.

b. To test the null and alternative hypotheses, we need to use a two-tailed t-test since we do not have any prior knowledge about the direction of the difference. We will use a level of significance of .05.

Using the formula for the t-test, we get:

t = (x1 - x2) / [s / sqrt(n)]

where:

x1 = sample mean for groceries
x2 = sample mean for dining out
s = sample standard deviation
n = sample size

Plugging in the values, we get:

t = (0 - 850) / [1,123 / sqrt(42)] = -4.72

The degrees of freedom (df) for this test is (n1 + n2 - 2) = 40.

Using a t-distribution table with df = 40 and a level of significance of .05, we find the critical values to be ±2.021. Since our calculated t-value (-4.72) is outside the critical values, we reject the null hypothesis.

The p-value for this test is the probability of getting a t-value as extreme or more extreme than our calculated t-value (-4.72) under the null hypothesis. Using a t-distribution table with df = 40, we find the p-value to be less than .0001. Therefore, we can conclude that there is a significant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.
a. The null and alternative hypotheses can be formulated as follows:

Null hypothesis (H 0): μ1 - μ2 = 0 (There is no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out)

Alternative hypothesis (H 1): μ1 - μ2 ≠ 0 (There is a difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out)

b. Given the information provided, we have:

Sample mean difference (d) = $850
Sample standard deviation (sd) = $1,123
Sample size (n) = 42
Level of significance (α) = 0.05

To test the hypothesis, we need to calculate the t-statistic:

t = (d - 0) / (sd / √n) = (850 - 0) / (1123 / √42) ≈ 5.46

Using a two-tailed t-test with a level of significance of 0.05 and 41 degrees of freedom (n-1), the critical values are approximately -2.02 and +2.02.

Since the calculated t-statistic (5.46) is greater than the critical value (+2.02), we reject the null hypothesis.

Conclusion: At the 0.05 level of significance, we can conclude that there is a significant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out. The exact p-value is not provided, but since the t-statistic falls in the rejection region, we can infer that the p-value is less than 0.05.

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HELP ITS THE BIGGEST GRADE IF THE YEAR In a science experiment, a scientist records the wavelengths of six waves. The wavelengths, in nanometers, are listed below.

0.0001
5/100
10^-3
1.0001
1/1,000
2x10^-2


Part A: Which two wavelengths are equal?


Part B: Which wavelength is the shortest?


To find the speed of a wave, the scientist uses the formula shown below.

speed = (wavelength) • (frequency)

The wave with wavelength 10^-3 nanometer has a frequency of 10^x .The speed of the wave is 10^y .where y > 3.


C. Write an inequality in terms of x to represent all possible values of x.

The wavelength of a seventh wave is recorded. The wavelength is greater than 2x10^-2 nanometer and less than
5/100 nanometer.

D. Write a possible wavelength, in nanometers, for the seventh wavelength. Write the possible wavelength as a fraction with a denominator of 100.

Answers

Answer:

Sure, I can help you with that.

Part A:

The wavelengths 0.0001 and 10^-3 are equal. This is because 0.0001 = 10^-3.

Part B:

The shortest wavelength is 0.0001 nanometers. This is because it is the smallest number in the list.

Part C:

The speed of the wave is 10^y, where y > 3. This means that y must be greater than 3. Therefore, the inequality in terms of x to represent all possible values of x is x > -3.

Part D:

The wavelength of the seventh wave is greater than 2x10^-2 nanometers and less than 5/100 nanometers. This means that the wavelength is between 0.004 and 0.05. A possible wavelength for the seventh wave is 4/100, which is equal to 0.04 nanometers.

Here is a table summarizing the answers:

Step-by-step explanation:

On a certain hot​ summer's day, 574 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $1180.00. How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

Let c be the number of children and a be the number of adults.

1.75c + 2.25a = 1,180->1.75c + 2.25a = 1,180

c + a = 574->1.75c + 1.75a = 1,004.5

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

.5a = 175.5

a = 351, so c = 223

So there were 351 adults and 223 children that day.

Spring break homework due tonight!! Please help!!

Answers

The names of the angles, vertices and sides are listed below

Naming the vertex and the sides of the angles

The vertex is the point where two sides meet; and at this vertex, an angle is formed

Using the above definition as a guide, we have

Vertex: D; Sides: CD and DEVertex: R; Sides: QR and RSVertex: P; Sides: OP and PQVertex: J; Sides: MJ and JK

Naming the angles in four ways

The names of the angles in four ways are

∠EFG, ∠GFE, ∠F and ∠S∠RST, ∠TSR, ∠S and ∠J∠GHJ , ∠JHG, ∠H and ∠S∠MNO, ∠ONM, ∠N and ∠S

Naming the angles with the vertex V

Using the definition of vertex above, the names of the angles are

∠KVL and ∠JVK∠CVD, ∠DVE, and ∠EVF∠QVR and ∠RVS∠OVP, ∠PVQ and ∠QVR

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The arithmetic mean of the monthly salaries of two people is $4360. One person earns $3479 per month. What is the monthly salary of the other person?

Answers

If  arithmetic mean of the monthly salaries of two people is $4360. One person earns $3479 per month then the monthly salary of the other person is $5241

The arithmetic mean of the monthly salaries of two people is $4360

One person earns $3479 per month

We have to find the monthly salary of the other person

Arithmetic mean = a+b/2

4360 = 3479+b/2

4360×2 = 3479+b

8720 = 3479+b

Subtract 3479 from both sides

8720-3479 =b

$5241 =b

Hence, $5241 is the  monthly salary of the other person.

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Jacob works three days per week for Mr Nkosi at his playschool for pre-school
children. Jacob is paid R200 per day. Mr Nkosi paid R624 to the UIF for one year
in advance, regarding his employee Jacob.
a) What is Jacob's gross salary per year?
b) What percentage is R624 of Jacob's gross salary per year?
c) Does Jacob have to contribute to the UIF? Give a reason for your answer.

Answers

The R200 Jacob is paid per day, working three days per week,  and the amount Mr Nkosi paid to the UIF, evaluated using percentages indicates;

a) R31,200

b) 2%

c) Jacob does not have to contribute to the UIF

What is a percentage?

A percentage is a representation of a ratio of numbers or proportion of a quantity expressed as a fraction of 100.

The number of days Jacob works per week for Mr Nkosi at his playschool for pre-school = Three days per week

The amount

The amount Jacob is paid per day = R200

Amount Mr Nkosi paid to the UIF for one year in advance regarding Jacob = R624

a) Jacob's gross salary in a year = 52 × 3 × R200 = R31,200

b) The percentage R624 is of Jacob's gross salary = (R624/R31,200) × 100 = 2%

c) The amount Mr Nkosi has to contribute to the UIF regarding Jacob in a year is two percent (2%) of Jacob's gross salary, therefore;

Jacob does not have to contribute to the UIF

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Do larger sample sizes increase the certainty of the statistical test? why or why not?

Answers

Yes, larger sample sizes do increase the certainty of a statistical test. This is because as the sample size increases, the sample becomes more representative of the population, leading to more accurate results.

larger sample sizes generally increase the certainty of the statistical test. This is because larger samples provide more information and reduce the likelihood of chance variations affecting the results. The estimated parameter becomes more stable and accurate with a larger sample size. Additionally, larger sample sizes allow for the detection of smaller effect sizes and greater statistical power. However, it is important to note that sample size alone does not guarantee the validity of the statistical test. Other factors such as sampling methods, data quality, and appropriate statistical analysis must also be considered.
Yes, larger sample sizes do increase the certainty of a statistical test. This is because as the sample size increases, the sample becomes more representative of the population, leading to more accurate results. Additionally, larger sample sizes decrease the margin of error and increase the statistical test's power, allowing for better detection of true differences or relationships in the population. Overall, larger sample sizes lead to more reliable and valid conclusions in statistical tests.

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Two milk containers contains 398 l and 436 l of milk. The milk is to be
transferred to another container with the help of a drum. While
transferring to another container 7l and 11l of milk is left in both the
containers respectively. What will be the maximum capacity of the drum

Answers

Answer:

Two milk containers = 398 +436= 834L

Left in both containers= 18L

Step-by-step explanation:

so maximum capacity of drum= 834-18=816L

Please answer soon! Also can you tell me how to hove brainliest? I want to reward the people that answer my question

Answers

The answer is A

But if this doesn’t seem right you you here’s the proof just in case: We can substitute (x - 4) for x in the function h(x) = Va + 1 to create the function k(x) = h(x - 4):

k(x) = h(x - 4)
k(x) = Va + 1, where x - 4 = x
k(x) = Va + 1

Therefore, the function k(x) is equivalent to g(x) = Va + 1, which is answer choice (A).

I hope this is right!

Answer:

C

Step-by-step explanation:

How we got this answer was by looking at the problem and looking for similar LOOKING answers and after that we are left with c and d then we have to look and see how far the sign goes and we see C is the same or equivalent to the problem

PLS GIVE BRAINLIST MEAN THE WORLD all you have do is when two people answer if app it should be by rating if web should be on top of the question

HAVE A NICE DAY!

Triangle A’B’C’ is a dilation of triangle ABC. What is the scale factor of the dilation?

Answers

The scale factor used in the dilation is 1/2

Determining the scale factor used.

From the question, we have the following parameters that can be used in our computation:

ABC with vertices at A(-2, 6)A'B'C' with vertices at A'(-1, 3)

The scale factor is calculated as

Scale factor  = A'/A

Substitute the known values in the above equation, so, we have the following representation

Scale factor  = (-1, 3)'/(-2, 6)

Evaluate

Scale factor  = 1/2

Hence, the scale factor is 1/2

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Write the ratio as a fraction in simplest form.

213 feet : 412 feet

Answers

Answer:213/412

Step-by-step explanation:

To get a ratio to fraction, make first number numerator and second number as denominator.

213/412 has no LCM, which means it cannot be simplified

ANSWER PLS Sketch the graph of 2x^(2)-3x-9=y using your graphing calculator.

What are the x-intercepts of this graph?

a.-3, -3/2

b.-3, 3/2

c. 3, 3/23

d. 3, -3/2

Answers

The x-intercepts of the given quadratic function are: d: 3, -3/2

How to draw the graph of a quadratic function?

The general form of expression of a quadratic function is:

y = ax² + bx + c

The formula to find the roots of quadratic functions is:

x = [-b ± √(b² - 4ac)]/2a

We are given the quadratic equation as:

y = 2x² - 3x - 9

Thus:

x =  [-(-3) ± √((-3)² - 4(2 * -9))]/2(2)

x = (3 ± 9)/4

x = 3, -3/2

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Susan rolled a die 744 times. Which of the following would be a good estimate of the number of times she rolled the number 3 on the die?

Answers

Susan rolled 228 times. When she died 744 times

A parabolic archway is 25 meters high at the vertex. At a height of 23 meters, the width of the archway is 12 meters, as shown in the figure.

Answers

The width of the archway at ground level, given the height can be found to be 42.42 meters.

How to find the width ?

To find the width of the parabolic archway at ground level, the formula is:

y = a ( x - h ) ² + k

The height given is 23 meters and the width is 12 meters so the value of a can be found to be :

23 = a ( 6 - 0 ) ² + 25

23 = a ( 6 ) ² + 25

-2 = 36 a

a = -1 /18

We can then find the width of the archway at ground level:

0 = ( -1 /18 )( x ²) + 25

x ² = 450

x = ± √ 450

The width of the archway at ground level is:

= 2 x √ 450

= 2 x 21. 21

= 42.42 meters

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a data analyst wants to create a visualization that demonstrates how often data values fall into certain ranges. what type of data visualization should they use?1 pointhistogramline graphcorrelation chartscatterplot

Answers

A data analyst who wants to create a visualization that demonstrates how often data values fall into certain ranges should use option A: histogram.

The distribution of a continuous variable is depicted by a histogram, a form of bar graph, by splitting the data into intervals, or bins, and charting the number of observations that fall within each bin. The range of values being measured are shown on the x-axis as intervals or bins, and the frequency or count of observations inside each bin is shown on the y-axis.

When presenting a distribution's shape, such as whether it is symmetrical or skewed, and when locating outliers or data gaps, histograms are especially helpful. They are frequently used to analyze and show data in disciplines including statistics, data science, and quality control.

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Correct question:

a data analyst wants to create a visualization that demonstrates how often data values fall into certain ranges. what type of data visualization should they use?

histogram

line graph

correlation charts

catter plot

Surface area of the composite solid

Answers

The area of the composite solid is 602.88m²

What are composite solids?

A composite solid is a solid that is composed, or made up of, two or more solids.

The solid consist of two cones. one big and one small cone

Area of a cone can be expressed as;

A = πr² + πrl

A = πr(r+l)

For the Big cone

A = πr(r+l)

A = 3.14 × 8 ( 8+10)

A = 25.12 × 18

A = 452.16m²

Area of the small cone

A = 3.14 × 4( 4 + 8)

A = 12.56 × 12

A = 150.72m²

Therefore the area of the composite solid

= 452.16 + 150.72

= 602.88 m²

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un college de 620 eleves compte 372eleves demi pensionnaires Quel est le pourcentage d'eleves demi pensionnaires de ce college?
merciiii d'avance

Answers

Answer: Percentage of half board students in college is 60%

Step-by-step explanation:

We know that percentage of desired quantity is:

n% = ( number of desired quantity / total number of quantity ) * 100

n% = ( n / N ) * 100  .......... (i)

where n% = percentage of desired quantity.

N = total number of quantity.

n = number of desired quantity.

Now, as per the question:

Half board students in college = 372

Total students in college = 620

percentage of Half board students in college = (372/620) * 100

n% = (372/620)*100

n% = 60%

Therefore, at 372 half board students in college , percentage of half board students in college is 60%.

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Question 2 (1 point) (08.01 MC) Lines C and D are represented by the equations given below: Line C: y = x + 6 Line D: y = 3x + 2 Which of these shows the solution to the system of equations and explains why? (1 point) a (2, 8), because both lines pass through this point b (2, 8), because the point does not lie on any axis c (4, 14), because one of the lines passes through this point d (4, 14), because the point lies between the two axes

Answers

Answer:

423

Step-by-step explanation:

easy i did it

se the equation to complete the activity.

219 86Rn→215 84Po+α
The nuclear equation shows the transmutation of a form of radon into polonium and an alpha particle. In one to two sentences, explain whether or not the reaction is balanced.

(2 points)

Answers

The equation is balanced since an alpha particle was emitted.

As, Natural transformation happens on its own because of the element's half life. Unlike natural transmutation, which requires exposing one element to another element or particle by induction or bombardment.

The radon element transforms into polonium and an alpha particle in the example inquiry. The equation is as follows:

[tex]_{86}^{219}RN[/tex] => [tex]_{84}^{215}Po[/tex] + [tex]_{2}^{4}a[/tex]

Therefore, the equation is balanced since an alpha particle was emitted.

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use to potagreom thyreom to finmd 13 squared, 6, 7

Answers

Answer:

Step-by-step explanation:

a bike lock has a 4 digit combination. each character can be any digit between 1-9. the only restriction is that all 4 characters cannot be the same (e.g. 1111, 2222, 3333... etc.). how many combinations are possible?

Answers

The possible combination is 6552.

For each of the 4 numbers in the combination, there are 9 digits to pick from, making the following total number of possibilities entirely possible:

9 x 9 x 9 x 9 = 6561

The number of possibilities with identical values for all four digits must be subtracted, nevertheless.

There is only one combination for each of the nine possible ways to select the digit that will occur four times (1, 2, 3, 4, 5, 6, 7, 8, or 9).

Therefore, the total number of possible combinations with the given restriction is:

6561 - 9 = 6552.

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Find the circumferences of the two circles. Circle A has a radius of 21 meters and Circle B has a radius of 28 meters.Is the relationship between the radius of a circle and the distance around the circle the same for all circles?

Answers

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.

Using this formula, we can find the circumferences of Circle A and Circle B:

Circumference of Circle A = 2π(21) = 42π meters

Circumference of Circle B = 2π(28) = 56π meters

To answer the second part of the question, yes, the relationship between the radius of a circle and the distance around the circle (circumference) is the same for all circles. The formula for the circumference of a circle, C = 2πr, shows that the circumference is directly proportional to the radius. This means that if we double the radius, we will also double the circumference, and if we triple the radius, we will also triple the circumference, and so on. This relationship holds true for all circles, regardless of their size or location.

The perimeter of the base of a square pyramid is 32 inches. The height of the pyramid is 3 inches. What is the surface area of the pyramid?

Responses

128 in°

96 in²

144 in²

72 in²

Answers

The surface area of the pyramid is 112 square inches if the perimeter of the base of a square pyramid is 32 inches. Thus, option A is correct.

The perimeter of a square pyramid = 32 inches

The height of a square pyramid = 3 inches

If the perimeter is 32 inches, then the sum of the lengths of all four sides is 32 inches.

Length of side= 4s = 32

Length of side = 8 inches

Area of square = [tex]a^{2}[/tex] = [tex]8^{2}[/tex] = [tex]64 inch^{2}[/tex]

Area of triangle =  (1/2) x base x height

Area of triangle = (1/2) x (8) x (3)

Area of triangle  = [tex]12 in^2[/tex]

The total area of four triangles is calculated by:

Total area of triangle = 4 x (12) = [tex]48 in^2[/tex]

The total surface area of the pyramid =  area of square + Area of triangle The total surface area of the pyramid  = 64 + 48 = 112 in^2

Therefore, we can conclude that the surface area of the pyramid is 112 square inches.

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The complete question is:

The perimeter of the base of a square pyramid is 32 inches. The height of the pyramid is 3 inches. What is the surface area of the pyramid?

Responses

a. 112 in°

b. 96 in²

c. 144 in²

d. 72 in²

nformation on a packet of seeds claims that 93% of them will germinate. of the 200 seeds that were planted, only 180 germinated. a. find a 95% confidence interval for the true proportion of seeds that germinate based on this sample. b. does this seem to provide evidence that the claim is wrong?

Answers

a) The 95% confidence interval for the true proportion of seeds that germinate based on the sample is (0.856, 0.944).

b) The sample does not provide evidence that the claim of 93% germination is wrong, but it does suggest that the true proportion of seeds that germinate may be lower than the claimed proportion.

To find a confidence interval for the true proportion of seeds that germinate, we can use the following formula

CI = p ± z√(p(1-p)/n)

where p is the sample proportion, z is the z-score corresponding to the desired confidence level (95% in this case), and n is the sample size.

a. Using the given values, we have:

p = 180/200 = 0.9

z = 1.96 (from a standard normal distribution table for a 95% confidence level)

n = 200

Plugging these values into the formula, we get

CI = 0.9 ± 1.96√(0.9(1-0.9)/200) = (0.856, 0.944)

Therefore, we can be 95% confident that the true proportion of seeds that germinate is between 0.856 and 0.944.

b. To determine if this provides evidence that the claim is wrong, we can check if the confidence interval includes the claimed proportion of 0.93. Since 0.93 is within the confidence interval of (0.856, 0.944), we cannot conclude that the claim is wrong based on this sample. However, we can say that the sample provides evidence that the true proportion of seeds that germinate may be lower than the claimed proportion.

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