5. Find the average (mean) of the following test scores: 72, 68, 91, and 93.


Please show the work

Answer:

268 adult and 292 student tickets sold

Step-by-step explanation:

a = number  adult tickets sold

s =  number student tickets sold

a + s = 560

8a + 3.50s = 3166

a = 268 adult tickets

s = 292 student tickets

Answer:

your answer is 0.8 mph

Step-by-step explanation:

i hope i help you

Total number of eggs = 6 + 19 + 14 + 11 + 23 + 2 = 75 eggs

Total hatched eggs = 6 + 14 + 23 = 43

Therefore, the answer is 57 ( to the nearest whole number)

Answer:

4(7w+10)

Step-by-step explanation:

Answer:

4(7w+10)

Step-by-step explanation:

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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Answer:i think its 115 degres

Step-by-step explanation:

Answer:

Sector

Step-by-step explanation:

A sector of a circle is the portion of circle enclosed by two radii and arc

Answer:

there are two options that say -2.

The answer is -2 so both options b and d.

Answer:

2,000,000 + 800,000 + 90,000 + 7,000 + 900 + 20 + 6

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

becoz u already answered it lloll

Answer:

the second one.... ( 8,9 )

Step-by-step explanation:

the zero-product system is rlly easy to use....

it basically means to take each term and equal it to zero....

so for your equation it is....

( x - 9 ) ( x - 8 ) = 0

so you would write it as....

( x - 9 ) = 0

and

( x - 8 ) = 0

and then you solve them like this...

( x - 9 ) = 0

add 9 to both sides to get the variable by itself...

x= 9

( x - 8 ) = 0

add 8 to both sides to get the variable by itself....

x = 8

The value of -1/2(-4a - 6) + a^2 when the value of a is a = 8 is 83

The complete question is added as an attachment

The expression is given as:

-1/2(-4a - 6) + a^2

The value of a is

a = 8

So, we have:

-1/2(-4 * 8 - 6) + 8^2

Evaluate the product and the exponent

-1/2(-32 - 6) + 64

Evaluate the difference

-1/2(-38) + 64

Expand

19 + 64

Evaluate

83

Hence, the value of -1/2(-4a - 6) + a^2 when the value of a is a = 8 is 83

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Answer: = 8.54166666667

Step-by-step explanation:

15 2/3 - 7 1/8

Answer:

X=2

Step-by-step explanation:

H(x)=5x-1

9= 5x-1

10=5x

X= 2

The final position after following the treasure map is 144.38 km at 28.1" east of north, and you can find that  treasure in  a biography of Isaac Newton.

To answer the question, you need to use trigonometry and vectors to calculate the total distance travelled and the final position. First, draw a triangle with the initial point being the old oak tree. Label the sides of the triangle as A (825 m south), B (1.25 km at 30.0" west of north), and C (100 km at 40.0" north of east).

Using trigonometry, you can calculate the distance A = 825 m, B = 1.58 km, and C = 143 km. The total distance you travelled is A + B + C = 825 m + 1.58 km + 143 km = 144.38 km.

To calculate the final position, you can use vectors. Vector A is in the South direction and has magnitude 825 m. Vector B is at 30.0" west of north and has magnitude 1.58 km.

Vector C is at 40.0" north of east and has magnitude 143 km. Calculate the resultant vector of the three vectors (A, B, and C) to get the final position. The resultant vector has a magnitude of 144.38 km and a direction of 28.1" east of north.

Therefore, the final position after following the treasure map is 144.38 km at 28.1" east of north, and the treasure you find is a biography of Isaac Newton.

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Fractions are written as a ratio of two integers. The product of the fractions in its simplest form is 15/77

Fractions are written as a ratio of two integers

Give the expression

10/11 x 3/7 x 1/2

This can also be written as:

10/2 * 1/11 * 3/7

= 5/11 * 3/7

= 15/77

Hence the product of the fractions in its simplest form is 15/77

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Both sides of the equation are not equal, therefore, Massa was wrong.

For an equation to be correct, the values on both sides of the equation must be equal and balance.

Given the expression, 540 ÷ 6 = 9, 540 divided by 6 is 90. 90 is not equal to 9.

Thus, the value on the both sides are not balanced, therefore, Massa is incorrect.

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Answer:

\((x+2)(2x-1)(2x+3)\)

Start by multiplying the first two terms:

\((2x^2+3x-2)(2x+3)\)

Now multiply these two terms to prove:

\((4x^3+6x^2+6x^2+9x-4x-6)\)

Simplify:

\((4x^3+12x^2+5x-6)\)

Answer: The problem states that the proportion of people who throw away a portion of what they buy at the grocery store is p = 0.4. We want to find the probability that the sample proportion exceeds a certain value, which we will denote as p-hat.

The sample size is n = 100, which is large enough to use the normal approximation to the binomial distribution.

The formula for the standard error of the sample proportion is:

SE = sqrt[p * (1 - p) / n]

Substituting the values given in the problem, we get:

SE = sqrt[0.4 * 0.6 / 100] = 0.049

To find the z-score corresponding to a sample proportion of , we use the formula:

z = (p-hat - p) / SE

Substituting the values given in the problem, we get:

z = ( - 0.4) / 0.049 = -2.04

Using a standard normal table, we find that the probability of obtaining a z-score of -2.04 or lower is 0.0207. Therefore, the probability that the sample proportion exceeds is approximately 0.0207, rounded to three decimal places.

Step-by-step explanation:

Answer:

314

Step-by-step explanation:

A=4πr^2

A= (4)(3.14)(5)^2

A=314

Question :-

Answer :-

\( \rule{180pt}{3pt}\)

Diagram :-

\(\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{5 \: inches}}\end{picture}\)

Solution :-

As per the provided information in the given question, we have been given that the radius of the sphere is 5 inches. We have been asked to find or calculate the surface area of the sphere.

To calculate the surface area of the sphere, we will use the formula below :-

\(\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}\)

Substitute the given values into the above formula and solve for surface area:

\(\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2\)

\(\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(5 \: in)^2\)

\(\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(25 \: in^2)\)

\(\sf:\implies Surface \: Area_{(Sphere)} = (4)(78.5 \: in^2)\)

\(\sf:\implies \bold{Surface \: Area_{(Sphere)} = 314 \: inches^2}\)

Therefore :-

\(\\\)

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Have a great day! <33

Answer:

1

Step-by-step explanation:

The filled van has a height of 4 feet, indicating the vertical dimension from the floor to the top of the crates inside.

To determine the height of the van that is filled with crates, we need to consider the volume of the crates and the total volume of the van.

Given that each crate has a volume of one cubic foot, and there are 30 crates covering the floor of the van, the total volume occupied by these crates is 30 cubic feet.

Now, to find the remaining volume inside the van, we subtract the volume of the crates from the total volume of the van. The van has a volume of 150 cubic feet, and we have already accounted for 30 cubic feet occupied by the crates.

Remaining volume inside the van = Total volume of the van - Volume occupied by the crates

Remaining volume = 150 cubic feet - 30 cubic feet

Remaining volume = 120 cubic feet

Since the van is shaped like a rectangular prism, the height of the van represents the vertical dimension.

To find the height of the van, we divide the remaining volume by the area of the van's base. The base area can be found by dividing the remaining volume by the length and width of the van.

Given that the van is completely filled with crates, the base area is equal to the area of 30 crates.

Base area = Volume occupied by the crates / Height

Base area = 30 cubic feet / Height

Now, we can solve for the height:

Height = Volume of the remaining space / Base area

Height = 120 cubic feet / 30 cubic feet

Height = 4 feet

Therefore, the height of the van that is filled with crates is 4 feet.

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The best estimate for the p value significance of regression is 0.590714

The term p value is defined as hypothesis testing to represent the chance that, assuming the null hypothesis is true, you could observe the result in your study or one even more extreme

Here we have given that an x-y scatter plot was created and regression was completed and we need to calculate the best estimate for the p value significance of regression.

While we reading the given question, we have identified that an x-y scatter plot was created and regression was completed.

So, let us consider the regression equation y = -0.1362x +5.0215

While through the given equation, we have identified that the value of the following are

=> R² = 0.0128

then the value of R is 0.113.

And the significance level is 0.05.

Then the best estimate for the p value is calculated as,

Therefore, the P-Value is .590714. The result is not significant at p < .05.

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Answer: 2.5-1.4=1.1 your welcome

Answer:

1.1

Explanation:

If you subtract 2.5 by 1.4, you get 1.1

I'VE SAVED THE DAY MARK ME THE BRAINLIEST

Answer:

936

Step-by-step explanation:

First calculate the volume of each container. to calculate volume, multiply the length * width * height.

For Container A, the volume is 13 * 19 * 25 = 6175 inches.

For Container B, the volume is 13 * 13 * 31 = 5239 inches.

6175 - 5239 = 936 so the volume Container A is 936 cubic inches greater than the volume of Container B.

Answer:

Perimeter of the Triangle

\(( {x}^{2} - 5x + 13) + (2 {x}^{2} - x + 19) + ( {x}^{2} + 3x + 21) \\ =(1 + 2 + 1) {x}^{2} + ( - 5 - 1 + 3)x + (13 + 19 + 21) \\ =(4 {x}^{2} - 3x + 53) \: units\)

Answer:

The discriminant is 0

There is 1 real solution

Step-by-step explanation:

Use the discriminant formula, D = b² - 4ac

In the equation y = x² - 4x + 4, a is 1, b is -4, and c is 4.

Plug in these values into the formula:

D = b² - 4ac

D = (-4)² - 4(1)(4)

D = 16 - 4(4)

D = 16 - 16

D = 0

So, the discriminant is 0.

With a discriminant of zero, there is one real solution.

So, the number of real solutions is 1.

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Answer:

Step-by-step explanation:

gradient = 5 = [k-(-1)]/[6-2]

[k+1]/4 = 5

k+1=20

k=19

The value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5 is found to be 19 by using the formula for gradient and solving the resulting equation for k.

To find the value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5, we'll use the formula for gradient, which is (y2 - y1) / (x2 - x1).

The given points can be substituted into the formula as follows: The gradient (m) is 5. The point A(2, -1) will be x1 and y1, and point B(6, k) will be x2 and y2. Now, we set up the formula as follows: 5 = (k - (-1)) / (6 - 2).

By simplifying, the equation becomes 5 = (k + 1) / 4. To find the value of k, we just need to solve this equation for k, which is done by multiplying both sides of the equation by 4 (to get rid of the denominator on the right side) and then subtracting 1 from both sides to isolate k. So, the equation becomes: k = 5 * 4 - 1. After carrying out the multiplication and subtraction, we find that k = 20 - 1 = 19.

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Answer:

$80.55

Step-by-step explanation:

9% of 895 = 80.55