What is the area of the triangle? PLEASEE HELP ME

Answer:

 (28800 cm2) / (400 cm2/tile) = 72 tiles

Step-by-step explanation:

Answer:

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

After dilation by a factor of 4 the base length becomes 4 times larger:

The translation is not affecting dimensions of the figure so the base length of figure B remains as 20 units.

Answer:

38°

Step-by-step explanation:

142° and x° are angles on a straight line. Angles on a straight line are equal to 180°

142° + x° = 180°

x° = 180° - 142°

x° = 38°

The value of the quantity negative one-third cubed all raised to the power of -3 will be -19683.

Expression in math's is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is negative third cubed all raised to the power of negative 3.

The expression can be solved as below:-

E = [ ( -1 / 3 )³ ]⁻³

E = [ (  -1 / 3 ) ] ⁻⁹

E = ( -3 )⁹

E = -19683

Therefore, the value of the quantity negative one-third cubed all raised to the power of -3 will be -19683.

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The students use simple random sampling.

In this case, every member of the population participating in the sampling has the same opportunity to become a member of the sample. Many people think that random sampling is an ideal sample to be used in a study. In fact, random sampling can be used as a basis for generalizing a conclusion.

Random sampling is selecting samples in such a way that all combinations of a unit have the same chance of being selected as a sample.

In order to make it easier what is meant by "members of the population have the same opportunity", a case example will be given. For example, in a population there are 100 members, but only 50 are needed to be members of the sample, so each member of the population has a 100/50 probability of being able to participate in sampling to become a member of the sample.

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The simple events in this ranking experiment are C-D-P, C-P-D, D-C-P, D-P-C, P-C-D, P-D-C where all of the simple events have the same probability, 1/6.

The simple events in this ranking experiment are the 6 possible ways the individual can order the three glasses of cola: C-D-P, C-P-D, D-C-P, D-P-C, P-C-D, P-D-C.

Since the individual's preferences are assumed to be random and the same cola has been put into all three glasses labeled C, D, and P, each of the 6 possible ways the individual can order the glasses (C-D-P, C-P-D, D-C-P, D-P-C, P-C-D, P-D-C) are equally likely.

This means that each of the 6 simple events has a probability of 1/6, or 0.1667. This is because if each ordering of the glasses is considered an outcome, there are 6 equally likely outcomes. The probability of any one of the outcomes is 1 divided by the total number of outcomes, or 1/6.

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Answer:

y = 4 and lh = 16

Step-by-step explanation:

hi again

In a case whereby one solution contains 2 parts salt to 8 parts water, and another contains 3 parts salt 5 parts water.  the number of each part that should be mixed together in order to obtain 280 quarts of a solution that is 3 parts salt to 7 parts water are: x = 160 quarts and 120 quarts  respectively.

The concept that will be used here is simplification

The salt concentration  can be expressed by turning them to decimal form and these area;

Solution A: [2/(2 + 8)]

= [2/10]

= 0.20 salt

We can as well expresss the Solution B in term of fraction as:

: [3/(3 + 5) ]

= [3/8 ]

= 0.375 salt

We can as well express the Mixed Solution in term of fraction we can be done as

:[ s/(3 + 7)]

= 3/10

= 0.30 salt

The mixture is said to be 280 quarts, however in the case whereby  0.375 salt can found in the mixed solution that is denoted as " x" , we can know the  0.20 salt,  which can be expressed as [y = 280 – x]

Then we can compute the typical mixture equation as :

[0.375x + 0.20(280-x)]  = [0.30(280)]

If we simplify we have

[0.375x + 56 - 0.20x] = 84

It can be simplied further as

[0.375x - 0.20x + 56 – 56] = [84 – 56]

Then after the summation from the left sides we have

[0.375x - 0.20x] = 28

[0.175x ]= 28

Then, we can find the value of x as

x= 28/0.175

x = 160

Since the value of x is known we can find the value of Y as :

y = [280 – x]

y = [280 – 160]

Then the value of  y can be expressed as :

y = 120

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The answer is C. There is a positive linear relationship between player height and number of points scored for basketball players in the coach's state.

A confidence interval is a range of values that is calculated from the data and is believed to contain the true population parameter with a certain level of confidence, in this case 96%. The slope of the regression line is the average change in y for a one unit change in x, which represents the direction and strength of the relationship between x and y.

The confidence interval for the slope is (−0.432,1.844), which does not include 0, which means that the slope is not equal to 0. If the slope were 0, there would be no relationship between player height and points scored. The fact that the confidence interval is positive means that the slope is positive, which indicates a positive linear relationship between player height and number of points scored.

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Answer:

V = 31,667.8 cubic ft

Step-by-step explanation:

The volume of a right circular cone can be calculated using the formula:

V = (π * r^2 * h) / 3

Where r is the radius of the base and h is the height of the cone.

First, let's find the radius:

r = diameter / 2 = 18.7 ft / 2 = 9.35 ft

Now, we can plug in the values for r and h into the formula:

V = (π * 9.35^2 * 19) / 3 = (π * 87.5295 * 19) / 3 = (1670.20355 * 19) / 3 = 31,667.76 cubic ft

Rounding to the nearest tenth of a cubic foot, we get:

V = 31,667.8 cubic ft

Answer:

176 miles

Step-by-step explanation:

Step 1: determine what 44% of 400 miles is

44% of 400= 176

Answer: Santiago fell asleep at 176 miles and they had 224 miles left in their trip.

About 68% of the area is covered by one standard deviation above and below the mean, therefore one standard deviation above the mean corresponds to 34% of the area. Thus, we have 84% after adding the 50% below the mean and the 34% above the mean.

A normality assumption with a zero mean and a standard error of one is referred to as the typical normally distributed. The standard normal distribution is centered at zero, and the standard deviation indicates how much a specific measurement deviates from the mean.

Sixty-eight percent of the observations for the normal distribution are within one standard deviation of the mean, ninety-five percent are within two standard deviations of the mean, and ninety-nine percent are within three standard deviations of the mean.

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The range of possible side lengths that satisfy these conditions is,

⇒ { s | 45.5 < s < 49.5 }

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The perimeter of a square must be greater than 182 inches but less than 198 inches.

Now, We know that;

The perimeter of a square is given by,

⇒ P = 4s

Where, 's' represents the length of a side.

Here, The perimeter of a square must be greater than 182 inches but less than 198 inches.

Hence, We get;

⇒ 182 < P < 198

Since, P = 4s

⇒ 182 < 4s < 198

⇒ 182/4 < 4s/4 < 198/4

⇒ 45.5 < s < 49.5

Thus, The range of possible side lengths that satisfy these conditions is,

⇒ { s | 45.5 < s < 49.5 }

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Answer:

1/2

Step-by-step explanation:

On the clock from 3 to 9, the hour hand turns clockwise 1/2 of the revolution

The "if statement" to show that  increases pay by 3% if score is greater than 90, otherwise increases pay by 1% ; is written below .

The if statement in that implements the conditions that increases pay by 3% if score is greater than 90, otherwise increases pay by 1% is written as :

⇒ if (score > 90)

⇒  pay *= 1.03;

⇒  else

⇒  pay *=1.01;

In the above mentioned  code, the "score" is a variable that represents the value to be tested, and "pay" is a variable that represents the current pay.

The statement checks that if score is greater than 90.  pay is increased by 3% (multiplying by 1.03). If score is not greater than 90, pay is increased by 1% (multiplying by 1.01).

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The volume of the solid generated by revolving the region bounded by y = 2x - x^2 and y = x about the line x=1 can be found using the method of cylindrical shells. The method involves slicing the solid into thin cylindrical shells, finding the volume of each shell, and then summing the volumes of all the shells to find the total volume of the solid.

We start by finding the equations for the two curves:

y = 2x - x^2,

y = x

We then find the points of intersection between the two curves:

2x - x^2 = x

x^2 - x - 2 = 0

x = 2 or x = -1

Since the solid is generated about the line x=1, we only consider the part of the region that lies to the right of x=1, which corresponds to x=2. The radius of each cylindrical shell is equal to the difference between the x-coordinate of the upper curve and x=1, which is 1. The height of each shell is equal to the difference between the y-coordinates of the two curves at x=2, which is (2x - x^2) - x = 2 - 4 = -2.

The volume of cylindrical shell is:

V = πr^2h

Plugging in the values:

V = π * (1^2) * (-2)

V = -2π

The total volume of the solid is the sum of the volumes of all the cylindrical shells, which is just -2π. The volume is negative because the height of each shell is negative, which indicates that the solid is being generated in the opposite direction.

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The probability that x a random variable is between 1.88 and 19.86 , i.e., P( 1.88< X< 19.86) is equals to the 0.9235 or 92.35%.

Let x be a random variable and it is normally distributed with a mean of 10 and a standard deviation of 5. We have to determine the probability that x is between 1.88 and 19.86 . In other words, X~ N( 10, 5) and P( 1.88< X< 19.86).

Mean, μ = 10

standard deviation, σ = 5

Normal distribution formula ,

Z = (X - μ)/σ

P( 1.88< X< 19.86) = P(( 1.88 - μ)/σ < (X- μ)/σ < ( 19.86 - μ)/σ)

= P((1.88 - 10)/5 < (X- 10)/5 < ( 19.86 - 10)/5)

= P(-8.12/5 < (X- μ)/σ < 9.86/5)

= P( - 1.624 < (X- μ)/σ < 1.972)

= P( - 1.624 < Z< 1.972)

= P( Z> 1.972) - P( Z< - 1.624)

P( 1.88< X< 19.86) = 0.92351

Hence, the required probability is 0.9235 .

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With 99% confidence that the true difference lies between 0.1316 and 0.2694.

A 99% confidence interval for the difference in average SAT scores between coached and uncoached students can be constructed using the data above.

The confidence interval is calculated as (mean of coached students - mean of uncoached students) +/- (2 * standard error of the difference in means).

The mean of coached students is (0.3098 + 0.3399 + 0.219 + 0.0798) / 4 = 0.2155, and the mean of uncoached students is (0.0046 + 0.0248) / 2 = 0.0147. The standard error of the difference in means can be calculated as the square root of ((0.2155(1-0.2155)/4) + (0.0147(1-0.0147)/2)).

The confidence interval is then (0.2155 - 0.0147) +/- (2 * 0.0347) = 0.201 +/- 0.0694, or (0.1316, 0.2694). This indicates that, on average, coached students gain 0.201 points more than uncoached students, with 99% confidence that the true difference lies between 0.1316 and 0.2694.

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Answer:

5491.50575

Step-by-step explanation:

10520 x (1 - 0.15)^4
so first you subtract 1 from 0.15 and that equals 0.85 then you times 0.85 itself cuz it decreases value for a total of four years and that would make 0.85^4 =0.52200625 now you 10520 x 0.52200625= 5491.50575
ps. depending if your adding or subtracting percents it will either 1+ or 1- then whatever percent into decimal hope this helps!

[tex]y=3^{1+x}[/tex] is the  equation of the exponential function represented by the table.

Two or more expressions with an Equal sign is called as Equation.

The given table is below

x     y

0    3

1     9

2    27

3    81

Each time x increases by 1, y increases by a factor of 3.

Thus, the required equation  has the form y = 3ˣ

If x = 0, do we get 3,

No, therefore we must modify the exponent:

[tex]y=3^{1+x}[/tex]

Hence, [tex]y=3^{1+x}[/tex] is the  equation of the exponential function represented by the table.

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Answer:

[A] 1406

Step-by-step explanation:

To see which is NOT divisible by 8 all we have to do is divide each answer choice by 8.

Not divisible means that the answer is a whole number (Not a decimal).

[A] 1406/8 = 175.75

[B] 1488/8 = 186

[C] 3608/8 = 451

[D] 5016/8 = 627

As we can see, the only one that is not divisible by 8 is [A] 1406.

RevyBreeze

The density of an irregularly shaped object with a mass of 6.05 g is 5.50 g/mL.

We have to determine the density of an irregularly shaped object with a mass of 6.05 g.

The volume of the strangely formed object is the volume it displaces.

The volume displaced is the difference between the starting volume of water and the final volume of water when the object is submerged.

The value can be taken as 3.15 mL because the final volume of water in the diagram is between 3.10 and 3.20 mL.

Volume of object = volume displaced

Volume of object = final volume - initial volume

Volume of object = 3.15 mL - 2.05 mL

Volume of object = 1.10 mL

The following formula can then be used to calculate the object's density:

Density = mass / volume

Density = (6.05 g) / (1.10 mL)

Density = 5.50 g/mL

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The complete question is:

A student needs to determine the density of an irregularly shaped object with a mass of 6.05 g.

Part A: The student fills a 10 mL graduated cylinder with deionized water. Use the image below to determine the volume of water in the graduated cylinder.

Report the answer to the correct number of significant figures. Initial volume of water = 2.05 mL

The proof of the statement that "any affine transformation, the ratio of parallel line segments is invariant, but the ratio of non-parallel line segments is not invariant" , is explained below .

An Affine Transformation is defined as a mapping between two vector spaces that preserves collinearity and ratios of parallel line segments, but not necessarily ratios of non-parallel line segments.

Which means that if two line segments are parallel in the original space, then their corresponding line segments in the image space will also be parallel and have the same ratio.

But , if the original line segments are not parallel, then their corresponding line segments in the image space will generally not be parallel and their ratio may change.

Therefore , it is proved that the ratio of parallel line segments is invariant under affine transformations, while the ratio of non-parallel line segments is not.

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The monthly interest rate for the principal is 0.64%

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

The formula for compound interest is

A = P(1 + r/n)^(nt)

where:

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal form)

n = the number of times that interest is compounded per year

t = the number of years the money is invested or borrowed for

Since the annual interest rate (r) is 7.7%. The monthly interest rate can be calculated by dividing the annual interest rate by 12 (There are 12 months in a year).

Thus, monthly interest rate = 7.7 / 12 = 0.64%

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Based on the histogram, 13 students held their breath for greater than 12.5 seconds but less than 15.5 seconds.

In a first-grade class, students measured how long they could hold their breath. The results were shown on a graph called a histogram. To see how many students held their breath between 12.5 and 15.5 seconds, we need to look at the bars on the graph between those times. The number of students is shown by the height of each bar.

We can see that there are 2 students who held their breath between 12.5 and 13.5 seconds. There are 5 students who held their breath between 13.5 and 14.5 seconds. And there are 6 students who held their breath between 14.5 and 15.5 seconds. To find out the total number of students, we add the heights of the bars together.

So:

Hence, there are 13 students who held their breath between 12.5 and 15.5 seconds.

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According to the exterior angle theorem, the exterior angle that results from stretching a triangle's side is equal to the sum of the dimensions of the triangle's two opposed interior angles.

According to the exterior angle theorem, the exterior angle that results from stretching a triangle side is equal to the sum of the dimensions of the triangle's two opposed interior angles. Three internal angles in a triangle or polygon always add up to 180 degrees. This theorem is applied to each of the outer angles, which total six.

Here,

Given :

With the help of the triangle's well-known features, we can validate the exterior angle theorem.

Think about an ABC.

The total of the three angles is 180 degrees (angle sum property of a triangle) ——- Equation 1: (A+B)/180 ——- Example 2 (rewriting equation 1)

e = 180 - c

——- Equivalent 3 (linear pair of angles)

Equation 3 may be solved for by substituting the value of c.

e = 180 - [180 - (a + b)]

e = 180 - 180 + (a + b)

e = a + b.

=> m∠A = m∠G

=> m∠DMG > m∠A

So , its proven that:

=> m∠DMG > m∠G

and

=> A-D-M

So,

AD = DM

=> AD <AM

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Cost of the item in both cases are (a) $21 (b) $21.6 and (c) Lower price of the item is when applied 20% discount first and then $3 off.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Percentage is usually denoted by the symbol '%'.

(a) Original price of the item = $30

After 20% discount, price of the item = 30 - (30 × 20%)

                                                              = 30 - (30 × 0.2)

                                                              = $24

After $3 off, price of the item = $24 - $3 = $21

(b) Original price of the item = $30

After $3 off, price of the item = $30 - $3 = $27

After 20% discount, price of the item = 27 - (27 × 20%)

                                                             = $21.6

(c) The lower price is when applied 20% discount first and then $3 off.

Hence the price of the item is lower when we apply 20% discount first and then applied $3 off.

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