Mr. Tompkin's art class painted a mural on one wall of the classroom.
The table shows the amounts of paint they used.
Which paint did they use the most?
Which paint did they use the least?
They used black the most and red the least, or They used blue the most and red the least? Explain your answer.

The length of the hypotenuse (x) of the right-angle triangle will be 4√34 cm.

Given that:

Length of each side of quadrilateral, P = L = 12 cm

One length of right angle triangle, B = 20 cm

The Pythagoras theorem formula is given as,

H² = P² + B²

x² = 12² + 20²

x² = 144 + 400

x² = 544

x = 4√34

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The missing diagram is given below.

Answer:

h = 6 feet

Step-by-step explanation:

Given that,

The volume of a right rectangular prism = 192 cubic feet

The area of the base of the pool is 32 square feet.

We need to find the height of the prism. We know that the volume of a right rectangular prism is given by :

\(V=lbh\)

We have, V = 192 cubic feet, lb = 32 sq feet

So,

\(h=\dfrac{V}{lb}\\\\h=\dfrac{192}{32}\\\\=6\ feet\)

So, the height of the prism is equal to 6 feet.

Answer:

x = 42

Step-by-step explanation:

\(\frac{x}{6} = 7\)

Multiply both side of the equation by 6.

\(6(\frac{x}{6} ) = 7 * 6\)

∴ x = 42

So, the answer is D.

Hope this helps

Answer:

True

Step-by-step explanation:

The interval will increase because there will be a wider scope into where the true population parameter could be. By decreasing it, you sacrifice some of that scope, so options like 90% and 95% are good levels.

True. As you increase the confidence level (assuming everything else remains the same), the width of the confidence interval increases.

The confidence level represents the level of certainty or assurance that the population parameter falls within the calculated confidence interval. It is typically expressed as a percentage, such as 95% or 99%.

When all other factors remain constant, increasing the confidence level leads to a wider confidence interval. This is because a higher confidence level requires a greater level of certainty, which translates to a larger margin of error.

The margin of error is the range around the point estimate that accounts for the uncertainty in the estimation process. A higher confidence level requires a larger margin of error to capture a wider range of possible values for the population parameter.

To achieve a higher confidence level, the critical value associated with the chosen level of confidence increases, resulting in a wider interval. This wider interval indicates a greater range of possible values for the population parameter and therefore a less precise estimation.

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Answer:

g(x) = (x+4) - 2

Step-by-step explanation:

going tothe right with four is adding and going down is subtracting hope i helped

The method of documentation that describes the setting up of squares of known dimension over the entire pattern is known as grid method.

Grid method is a method of documentation that involves the setting up of squares of known dimensions over the entire pattern to document a site. This method is commonly used in archaeological surveys and historical preservation.

Therefore, grid method is a simple and effective way of recording data, and it is still widely used in the field of archaeology today.

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Answer:

compare them

Step-by-step explanation:

first make the denominators the same, then compare the numerators

The seasonal problem may be predicted using the difference between actual sales and the trend portion of the sales as given by the equation: \(Ft 40-6.5t+2t².\)

Solving the given equation: \(Ft = 40 - 6.5t + 2t²\)Hence, the trend portion of quarterly sales of condominiums over a long cycle is given by the equation\(Ft = 40 - 6.5t + 2t²\) where t is time in quarters (Q1 1981 is t=1, Q2 1981 is t=2, Q3 1981 is t=3, etc.)

Given that sales exhibit seasonal variations, the seasonal problem may be predicted using the difference between actual sales and the trend portion of the sales as given by the equation Ft = 40 - 6.5t + 2t².

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Answer:

yes 6/5 is greater

Problem solving:

first you need to simply the fractions and see which one is bigger.

2/3 = 0.667

6/5 = 1.2

-Sumin <3

Answer:

Yes

Step-by-step explanation:

When you look at the two fractions, we can immediately tell that the first is over 1 and the other is not one. However, if we wanted to see how much greater 6/5 is compared to 2/3, then we could find the common denominator and then subtract the 2/3 from the 6/5.

6/5 - 2/3

18/15 - 10/15

8/15.

This can't be simplified.

Thus, 6/5 is 8/15 greater than 2/3.

Hope that this helped and everything works out. You can do this same method with any two fractions if your not sure if one is greater than, equal to, or less than any other number and what the difference is between them.

Answer:

x=4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Replace X with the numbers given and see which ones work

Answer:

-0.9

Step-by-step explanation:

Represents negatively linear correlated. 1 would represent perfect correlation.

Answer:

-6

Step-by-step explanation:

use PEMDAS

start with the exponent: (-4)^2=16

-12 / 3 * (-8 + 16 - 6) +2

then the parentheses: (-8+16-6)=2

-12 / 3 * 2 +2

next is multiplication/division, division comes first so: -12/3=-4

-4 * 2 +2

then multiplication: -4*2=-8

-8+2=-6

Answer:

$36.00 markup

Step-by-step explanation:

$72 x 50% (0.50) = $36.00

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

To be greater than a negative number, negative values need to be smaller as they get closer to zero.

The answer would be B) -5, -4.5, -3

Answer:

B

Step-by-step explanation:

This is because you could have a number greater of equal to -5, since b is the only one that has that it makes it true.

Hey there!

“2x + 1 = 23”

SUBTRACT by 1 to BOTH SIDES

2x + 1 – 1 = 23 – 1

CANCEL out: 1 – 1 because it gives you the value of 0

KEEP: 23 – 2 because it helps us solve for x

“23 – 1 = 22”

NEW EQUATION: 2x = 22

DIVIDE by 2 to BOTH SIDES

2x/2 = 22/2

CANCEL out: 2/2 because that gives you 1

KEEP: 22/2 because it helps us solve for x

Answer: x = 11 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

diameter=18 in

radius=9 in

area=254.47 in

circumference=56.55 in

Step-by-step explanation:

Key

C=Circumference

D=Diameter

R=Radius

A=Area

π=pi=3.14159265359

Formulas

2r=d

d/2=r

πr^2=a

(2πr)=c

Brainliest Plz

Answer:

the answer is im in college and wait nope im in middle school cant help sorry

Step-by-step explanation:

Answer:

Yes. They are equal.

Step-by-step explanation:

Let's simplify 5x-3(2x-4)

5x-3(2x-4)

5x-6x-12 (distribute)

-x+12

-x+12 and 12-x is the same thing just reversed.

so they are equal.

hope this helps

brainliest?

The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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Answer: d. 0.0047

Step-by-step explanation: The p-value is the calculated value used to compare to the significance level to determine if you reject or fail to reject the null hypothesis.

To find p-value, first find the z-score:

z = \(\frac{x-\mu}{SE}\)

x is sample mean

μ is population mean

SE is standard error calculated by \(\frac{s}{\sqrt{n} }\)

SE = \(\frac{10}{\sqrt{50} }\)

SE = 1.414

z = \(\frac{24-28}{1.414}\)

z = - 2.83

The hypotheses (\(H_{0}, H_{a}\)) are if sample mean is equal or different from the average given, so, p-value will be the value of z from z-table multiplied by 2:

p-value = 0.00233*2

p-value = 0.0047

The p-value for this test is 0.0047

Answer:

The area of the park is 1,11,739 square feet.

Step-by-step explanation:

Since, the area of a triangle is,

Where,  and  are the adjacent sides and  is the included angle of these sides,

Here, the two adjacent sides of the park are 533 feet and 525 feet, while, the angle included by these sides is 53°.

That is,   = 533 ft,  = 525 ft and  = 53°,

Hence, the area of the park is,

Step-by-step explanation:

Two adjacent sides of the park say x and y are,

x=533feet

y=525feet

A=53º

area=1/2*b*c*sin(A)

111739 feet^2

Answer:

Step-by-step explanation:

I think it’s b correct me if I’m wrong

Answer:

I think it is b im pretty sure

To find the corresponding terminal points for the given angles a = 11π/3, b = 3π/2, and c = 2π/3, we can use the unit circle. The terminal point on the unit circle is represented by (cos θ, sin θ), where θ is the angle in standard position.

For angle a = 11π/3, we find the terminal point by rotating clockwise (negative direction) 11π/3 radians from the positive x-axis. Since one full revolution around the unit circle is equal to 2π radians, 11π/3 radians is equivalent to 2π × (11/3) = 22π/3 radians. The terminal point for a is (-1/2, √3/2). For angle b = 3π/2, we rotate counterclockwise (positive direction) 3π/2 radians from the positive x-axis. The terminal point for b is (0, -1). For angle c = 2π/3, we rotate counterclockwise (positive direction) 2π/3 radians from the positive x-axis. The terminal point for c is (-1/2, -√3/2).

Therefore, for angles a = 11π/3, b = 3π/2, and c = 2π/3, the corresponding terminal points are (-1/2, √3/2), (0, -1), and (-1/2, -√3/2), respectively. The evaluated trigonometric functions are:

- For angle a, cos a = -1/2, sin a = √3/2, and tan a = -√3.

- For angle b, cos b = 0, sin b = -1, and tan b is undefined.

- For angle c, cos c = -1/2, sin c = -√3/2, and tan c = √3.

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Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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The solution to the system of equations is x = 8/3 and y = 41/43.

To find the solution for the given system of equations, we can use the method of substitution or elimination. Let's use the method of elimination:

Given equations:

3x + 2y = 22 ---(1)

-x + 15y = 21 ---(2)

To eliminate one variable, we can multiply equation (2) by 3 and equation (1) by -1, then add the resulting equations:

-3x + 45y = 63 ---(3) (multiplying equation (2) by 3)

-3x - 2y = -22 ---(4) (multiplying equation (1) by -1)

Adding equations (3) and (4) eliminates the x variable:

43y = 41

Dividing both sides by 43 gives us:

y = 41/43

Now we can substitute this value of y into either equation (1) or (2). Let's use equation (1):

3x + 2(41/43) = 22

Multiplying both sides by 43 to eliminate the fraction:

129x + 82 = 946

Subtracting 82 from both sides:

129x = 864

Dividing both sides by 129:

x = 864/129

Simplifying:

x = 8/3

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Answer:

x and y are inversely proportional , constant of proportion k = 30

Step-by-step explanation:

If x and y are inversely proportional then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of proportion

multiply both sides by y , then

k = xy

to check that k is constant use the ordered pairs from the table

(0.1, 300 )

k = 0.1 × 300 = 30

(0.5, 60 )

k = 0.5 × 60 = 30

(75, 0.4 )

k = 75 × 0.4 = 30

(100, 0.3 )

k = 100 × 0.3 = 30

thus x and y are inversely proportional with constant of proportion k = 30

The binomial test is used to test the hypothesis HH0: p = p0 in a binomial distribution.

In the binomial test, we calculate the probability of observing the given data or more extreme data, assuming that the null hypothesis is true. If this probability, known as the p-value, is small (usually less than 0.05), we reject the null hypothesis in favor of the alternative hypothesis.

To perform the binomial test, we can follow these steps:

1. Define the null hypothesis HH0: p = p0 and the alternative hypothesis HA: p ≠ p0 or HA: p > p0 or HA: p < p0, depending on the research question.

2. Calculate the test statistic using the formula:
  test statistic = (observed number of successes - expected number of successes) / sqrt(n * p0 * (1 - p0))

3. Determine the critical value or p-value based on the type of test (two-tailed, one-tailed greater, one-tailed less) and the significance level chosen.

4. Compare the test statistic to the critical value or p-value. If the test statistic falls in the rejection region (critical value is exceeded or p-value is less than the chosen significance level), reject the null hypothesis. Otherwise, fail to reject the null hypothesis.

Remember, the binomial test assumes independence of the binomial trials and a fixed number of trials.

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The estimated variance of B is 0.000014 and the estimated variance of a is 26.792.

To estimate the variances of the parameter estimates in the linear regression model, we can use the following formulas:

Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)

Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)

Given the following values:

EX = 228

EY = 3121

EXY₁ = 38297

EX² = 3204

Exy = 3347-60

Ex? = 604-80

Ey? = 19837

n = 20

We can substitute these values into the formulas to estimate the variances.

First, let's calculate the estimate for B:

B = (n * EXY₁ - EX * EY) / (n * EX² - (EX)²)

= (20 * 38297 - 228 * 3121) / (20 * 3204 - (228)²)

= 1.331

Next, let's calculate the variance of B:

Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)

= (1 / [20 * 3204 - (228)²]) * (3121² - 2 * 1.331 * 38297 + 1.331² * 3204)

= 0.000014

Now, let's calculate the estimate for a:

a = (EY - B * EX) / n

= (3121 - 1.331 * 228) / 20

= 56.857

Next, let's calculate the variance of a:

Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)

= (1 / 20) * (19837 - 56.857 * 3121 - 1.331 * 38297)

= 26.792

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(a) The probability of having all six children be girls is (1/2)^6, or 1/64.
(b) The probability of having all six children be the same sex (either all boys or all girls) is (1/2)^6 + (1/2)^6, or 2/64, or 1/32.
(c) The probability of having at least one boy is 1 - 1/64, or 63/64

The probability of having a child of a particular sex is 50%. Given a family with six children, we can calculate the probability of each event as follows:
(a) All the children being girls: the probability is (1/2)^6, or 1/64.
(b) All the children being the same sex (either all boys or all girls): the probability is (1/2)^6 + (1/2)^6, or 2/64, or 1/32.
(c) At least one boy being in the family: the probability is 1 - (1/2)^6, or 63/64. This can be calculated by finding the probability of having no boys (all girls) and then subtracting it from 1.
In summary, the probability of having a particular outcome in a family with six children depends on the number of children of each sex and can be calculated using the formula (1/2)^n, where n is the number of children of a particular sex.


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Complete question:

Assume that the probability of the birth of a child of a particular sex is 50%. In a family with six children, find the probability of each event.

(a) All the children are girls.

(b) All the children are the same sex.

(c) There is at least one boy.