In January of 2011, the U.S. saw an increase in gas prices. Imagine the average price per gallon was $3.12 with a standard deviation of $0.27, according to a source such as AAA (Automobile Association of America) that tracks gas prices. You are on your long mid-semester break, so you and some friends decide to go on a 3000-mile road trip. You record the price of gas each of the 10 times you fill up your tank, and you compute an average price per gallon of $3.16. What percent of other sample means, based on 10 gas stations, would be greater than the one you observed

Answer:

x = 128

Step-by-step explanation:

Adjacent angles - Angles right next to each other. They share a common vertex

Vertical angles - angles that are vertically aligned with each other.

The angle that has a measure of 128 degrees and x are vertical angles

If you didn't know vertical angles are congruent so because one angle equals 128 degrees the other equals 128 degrees

x = 128

The given angle are the vertical angles and the measure of the angle x is 128°.

Given that,
To specify whether the angles are adjacent or vertical. Then find the value of x.

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
By the observation, angle x and 128° are the vertical angles and by the property of the intersection of the line both are equal angles so the measure of angle x is also equal to 128°.

Thus, the given angle is the vertical angle and the measure of the angle x is 128°.

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Answer:

3 pounds 9 ounces

Step-by-step explanation:

Answer:

2 cm is were youll find the polygon at. it shouldnt be hard to see the area of were the polygon is

Answer:

208 cm²

Step-by-step explanation:

14 cm × 16 cm = 224 cm²

14 cm - 6 cm = 8 cm

8 cm × 2 cm = 16 cm²

224 cm² - 16 cm² = 208 cm²

Answer:

Step-by-step explanation:

Part A:

Mark did not round to the nearest hundreds, he rounded to the nearest tens.

Option A (Incorrect):

271 and 582 are normally not rounded down, unless we are using limits coming from the left and a unique equation.

Option B (Incorrect):

271 as the same problem as option A, but 582 rounding to 600 is correct. It doesn't make sense to round both numbers differently, unless stated.

Option C (Incorrect):

271 rounding to 300 is correct, but 582 is not normally rounded down to 500 unless we are using limits coming from the left and a unique equation. Unless stated, don't round both numbers differently.

Option D (Correct):

271 rounded to 300 and 582 rounded to 600 looks correct for rounding to the hundreds.

Part B:

There are two ways to solve this question:

One way:

271 + 582 = 853

Round 853 to the nearest hundred for 900

(Note: Round 853 to the nearest tens for 850.)

Second way:

271 + 582

Round Numbers:

300 + 600

= 900

Answer:

$17,280

Step-by-step explanation:

Formula:

I = Prt

Given:

P = 48000

r = 0.06

t = 6

Work:

I = (48000)(0.06)(6)

I = 17280

Answer:

Step-by-step explanation:

you do 10/2 for the radius, so that will be 5. then you do 3.14*5*5= 78.5

Hi there, it wont let me leave this page without posting a answer and I don't have an answer. I dont know why it wont let me.. So I thought instead of just posting a blank answer I would give you an explination for my actions. I am not doing this on purpose or for points im just trying to help others.. If you want you can reply back to my comment and I will give you 10 coins. Since I did just take 5 of yours, and it seems only fair. Again my apoligizes.

Answer:

The answer is 54 cubes.

Step-by-step explanation:

Answer:

so I'm not 100% sure but in these types of questions you are supposed to divide

so you have a pack of 24 bottles for 7.99

so you would do 7.99÷24 = 0.33

then to check it you can multiply

0.33× 24 bottles and it gives you 7.93 which is super close to 7.99 anyway I hope this helps ...

Answer: g(x)=3f(x)

Step-by-step explanation:

So we know it isnt a translation. Which eliminates the first 2 answer choices. So its between the last 2. If it were 1/3 the grap would have been steeper.

I hope this helps!

Answer:

D

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C

Given

5y = - [tex]\frac{1}{4}[/tex] x - 6 ( multiply through by 4 to clear the fraction )

20y = - x - 24 ( add x to both sides )

x + 20y = - 24 → D

Answer:

−8y^2+9x+4y+11

Step-by-step explanation:

=12x+4y+−3x+2+−8y^2+9

Combine Like Terms:

=12x+4y+−3x+2+−8y^2+9

=(−8y^2)+(12x+−3x)+(4y)+(2+9)

=−8y^2+9x+4y+11

Good luck <3

Answer:

-8y^2+9x+4y+8

Step-by-step explanation:

^ refers to squared in my answer

Answer:

the answer will be: 16

Step-by-step explanation:

Why? Because =

20-5y+2x

20 - 5 • 4 + 2 • 8 =

(5 • 4 = 20)

(2 • 8 = 16)

20 - 20 + 16 =

(20 + 16 = 36)

20 - 36 = 16

Never forget PEMDAS

Answer:

450 x (1 + 0.5) ^ X = Phone subscribers

Step-by-step explanation:

Since a telecommunications company in a small town had 450 phone subscribers before they introduced a plan for newly joining members, and the company recorded an approximate 50% increase each month in the number of new phone subscribers, where they had one new subscriber at the start of the plan, to determine the number of phone subscribers x months after the plan was launched, the following function must be considered and solved:

450 x (1 + 0.5) ^ X = Phone subscribers

So, for example, in 3 months, the number of subscribers would be the following:

450 x (1 + 0.5) ^ 3 = 1,518.75

Thus, in 3 months, the company would have 1,518 subscribers.

Answer:

(this isnt a mathematics question, it's science, btw)

Indeed, you are correct. It is 1. I think.

Because you get one allele from each parent, to make up 2 alleles per offspring.

Hope that helps!

Answer:

x-2

Step-by-step explanation:

(x+2)× ___=(x+2)(x-2)

___=(x+2)(x-2)/(x+2)

___=x-2

The polynomial which should be filled in the blank is (x - 2).

Polynomials are mathematical expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.

Given that,

x² - 4 = (x + 2) (x - 2).

We have to find the blank space.

By commutative property, the other side is also equal.

That is,

(x + 2) (x - 2) = x² - 4

Hence the correct option is (x - 2).

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Answer:

12 balloons

Step-by-step explanation:

120 divided by 10 = 12

:)

Find the volume of each and then divide the volume of the box by the volume of the cube.

Volume of box: 8 1/2 x 5 1/2 x 2 1/2 = 116 7/8 cubic inches.

Volume of cube = 1/2^3 = 1/8 cubic inches

Number of cubes: 116 7/8 / 1/8 = 935 cubes.

Question: Assume the complete question as, Two forces of 20 Newton’s and 30 Newton’s²  act on a point. The resultant force is 40 Newton’s. Find the angle between the two forces

Answer:

75.5°

Step-by-step explanation:

From the question,

Using cosine rule,

R² = P²+Q²-2PQcosθ................... Equation 1

Where θ angle between the the two forces.

Given; R = 40 Newton, P = 20 Newton, Q = 30 Newton.

Substitute these values into 1

40² = 20²+30²-[2×20×30(cosθ)]

1600 = 400+900-(1200cosθ)

1600 = 1300-1200cosθ

1200cosθ = 1600-1300

1200cosθ = 300

cosθ = 300/1200

cosθ = 0.25

θ = cos⁻¹(0.25)

θ = 75.5°

Hence the angle between the forces is 75.5°

Answer:

3y-4

Step-by-step explanation:

y+7×3-3

(y×3)+7-3

3y-4

Answer:

The theme of "Caged Bird" is lack of freedom.

"Caged Bird" is an extended metaphor that is comparing the African-American community to other privileged people.

Answer:

[tex]x(3x + 2) = 3x^2 + 2x[/tex]

Step-by-step explanation:

Given

[tex]x(3x + 2)[/tex]

Required

Apply distributive property

[tex]x(3x + 2)[/tex]

Distribute

[tex]x(3x + 2) = x * 3x + x * 2[/tex]

[tex]x(3x + 2) = 3x^2 + 2x[/tex]

Answer:

The amount of apples is the Xs and The cost is the Ys

Step-by-step explanation: