We randomly select 100 Pell grant recipients from two states. State A is a relatively small state with approximately 4,000 Pell grant recipients. State B is a large state with approximately 200,000 Pell grant recipients. Suppose that the mean and standard deviation in individual Pell grants is approximately the same for both states: μ = $2, 600 and σ = $800. For which state is the sample mean for our 100 Pell grant recipients most likely to be within $80 of $2,600?a. State A because the sample represents a larger segment of this small population. b. State B because there is less variability in larger populations so estimates from samples are more accurate. c. Equally likely because σ = $800 for both states.

Answer:

The amplitude is the highest point that the curve reached

Which is in your case = 2

Answer:

Step-by-step explanation:

that should help

Answer:

I like to use Desmos when I graph parabolas. But I’m this case it would be 3 down and one to the left so the vertex should be (-1,-3) and then just graph x^2

Step-by-step explanation:

Hope this helps! ;-)

Answer:

the correct answer is A, thats when cos of ttheta is

Answer:

g(a) = a² + a

Step-by-step explanation:

g(x) = x² + x

put x = a

:- g(a) = a² + a

[tex]g(x) = x^2 +x\\ \\g(a) =a^2 +a = a(a+1)[/tex]

Answer:

I believe it would be -20 because the number line values skip by 2 or 3 each skip.

Answer: coeficient is 20 and the constant which is 13

Step-by-step explanation:

Answer:

Company "A"

Step-by-step explanation:

its the highest line on the graph from the 300 point.

Answer:

61.90

Step-by-step explanation:

12.2+14+14+6=46.2

of semi circle

circumference of semi circle = [tex]\pi[/tex]d

[tex]\pi[/tex]x10 = 10[tex]\pi[/tex]

semi circle so divide by 2 = 5[tex]\pi[/tex]

5[tex]\pi[/tex] = 15.7

46.2 + 15.7 = 61.9

Step-by-step explanation:

b is the answer y=50+12x/x

As we can get the information

the registration fee is fixed, but the dues is

increased with the Month.

so the average monthly cost

answer y=50+12x/x

Answer: It should be 4 11/15 gallons.

Step-by-step explanation:

I multiplied both of the amounts.

Answer:

tanΘ = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

tanΘ = [tex]\frac{opposite}{adjacent}[/tex]

the opposite side requires to be found.

let the opposite side be x then using Pythagoras' identity in the right triangle

x² + 12² = 20²

x² + 144 = 400 ( subtract 144 from both sides )

x² = 256 ( take square root of both sides )

x = [tex]\sqrt{256}[/tex] = 16

then

tanΘ = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]

The equation y = 2x + 3 is a linear equation, and the equivalent equation of y = 2x + 3 is y - 3 - 2x = 0

The equation is given as:

y = 2x + 3

Subtract 3 from both sides

y - 3 = 2x

Subtract 2x from both sides

y - 3 - 2x = 0

The above means that the equation y - 3 - 2x = 0 is equal to the equation  y = 2x + 3

Hence, the equivalent equation of y = 2x + 3 is y - 3 - 2x = 0

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Answer:

5 minutes

Step-by-step explanation:

Answer:

x = 48

Step-by-step explanation:

5x + 12 = 6x - 36 ( subtract 6x from both sides )

- x + 12 = - 36 ( subtract 12 from both sides )

- x = - 48 ( multiply both sides by - 1 )

x = 48

Step-by-step explanation:

5x + 12 = 6x - 36

5x + 12 - 6x = - 36

- x = - 36 - 12

- x = - 48

Now change the sign of both side of the equation...

x = - ( - 48)

x = 48...

Answer:

Step 2

Step-by-step explanation:

Solving

The error has occurred in Step 2.

The distribution of -2 to 6y and -5 gives -12y and 10 respectively.

Instead, the distribution has not happened between -2 and -5.

Answer:

x = 4

Step-by-step explanation:

-x + 6 = 0.5x

1.5x = 6

x = 4

Answer:

19

Step-by-step explanation:

Answer:

[tex]15^{3}[/tex]

Step-by-step explanation:

[tex]15^{3} =(15)(15)(15)=3375[/tex]

Hope this helps

The reason why Americans have lower levels of magnesium than health experts recommend is because of the prevalence of processed food.

The nutrients in food are those components of food that serve the purpose of nourishing our body. The nutrients present in processed food are different from those present in natural food.

Since many Americans eat a lot of processed instead of natural food, they often lack magnesium which is often absent in processed food.

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Answer:

[tex]x=\pm 3i[/tex]

Step-by-step explanation:

[tex]x^2+9=0\\x^2=-9\\x=\pm 3i[/tex]

Because you cannot take the square root of a negative number to produce a real solution, then the result will be two conjugate complex numbers (hence the ± sign).

Answer:

x = -2

Step-by-step explanation:

Given: [tex]\textsf{$\dfrac{x+3}{x+4}=\dfrac{x+5}{x+8}$}[/tex]

1. Cross-multiply

(x + 3)(x + 8) = (x + 5)(x + 4)

2. Distribute

⟹ (x + 3)(x + 8) = (x + 5)(x + 4)

⟹ x(x) + x(8) + 3(x) + 3(8) = x(x) + x(4) + 5(x) + 5(4)

⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20

3. Combine like terms

⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20

⟹ x² + 11x + 24 = x² + 9x + 20

4. Subtract x² from both sides

⟹ x² - x² + 11x + 24 = x² - x²  + 9x + 20

⟹ 11x + 24 = 9x + 20

5. Subtract 24 from both sides

⟹ 11x + 24 - 24 = 9x + 20 - 24

⟹ 11x = 9x - 4

6. Subtract 9x from both sides

⟹ 11x = 9x - 4

⟹ 11x - 9x = 9x - 9x - 4

⟹ 2x = -4

7. Divide both sides by 2 to isolate the variable

⟹ 2x ÷ 2 = -4 ÷ 2

⟹ x = -2

Answer:

168

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Volume of prism :

Volume of small-size box of dog treats :

The measure of the ∠B of given parallelogram is 362 - 42x

In the above question, a figure which is known as Parallelogram is given, where the following angles are given :

Measure of ∠A = 6x + 14

Measure of ∠C = 9x - 7

Measure of ∠D = 17x + 5

We need to find, the measure of the ∠B

From the properties of a Parallelogram, we know that "The sum of all the interior angles of a parallelogram is equal to 360°". So using this property we'll find the measure of ∠B

Now,

∠A + ∠B +  ∠C + ∠D = 360

16x + 14 +  ∠B + 9x - 7 + 17x + 5 = 360

∠B + ( 16x + 9x + 17x ) = 360 - ( -14 + 7 -5)

∠B + 42x = 360 - (-2)

∠B = 362 - 42x

Hence, the measure of the ∠B is 362 - 42x

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Answer:

56 degrees

Step-by-step explanation:

Just did the Imagine Math

Answer:

[tex]x=-4,\: x=1[/tex]

Step-by-step explanation:

[tex]x^2+3x+1=5\\\\x^2+3x-4=0\\\\(x+4)(x-1)=0\\\\x=-4,\: x=1[/tex]

Make sure you use the Zero Product Property to solve for each factor when the equation is set equal to 0 and can be factored.

Answer:

state the formula which is S.I =P×T×R

Answer:

see explanation

Step-by-step explanation:

the sum of the 3 angles in the triangle = 180° , then

∠ BAC + 51° + 90° = 180°

∠ BAC + 141° = 180° ( subtract 141° from both sides )

∠ BAC = 39°

using the tangent ratio in the right triangle

tan51° = [tex]\frac{opposite}{adjacent }[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{12.8}[/tex] ( multiply both sides by 12.8 )

12.8 × tan51° = AC , then

AC ≈ 15.8 ( to 1 dec. place )

using the cosine ratio in the right triangle

cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12.8}{AB}[/tex] ( multiply both sides by AB )

AB × cos51° = 12.8 ( divide both sides by cos51° )

AB = [tex]\frac{12.8}{cos51}[/tex] ≈ 20.3 ( to 1 dec. place )

Answer:

a = -4

Step-by-step explanation:

(a + 2)/2 = - 1

a+2 = -1 * 2

a = - 2 - 2

a = -4

Answer:

-2.5

Step-by-step explanation:

soo your objective is to make a alone

first remove the denominator

a+2 / 2 = -1

a + 2 = -1/2

now minus 2 to  both sides

a = -1/2 - 2

a = -2 1/2