which is a unit rate?

A. 15 miles per gallon
B. 5 pounds in two bags
C. $8 for three boxes of crackers
D. 22 gallons in 5 days ​

Answer:

The estimate of the proportion of new car buyers who prefer foreign cars is 0.24.

Step-by-step explanation:

We find the estimate of the proportion from the sample, as it is a large sample.

Suppose a sample of 2676 new car buyers is drawn. Of those sampled, 642 preferred foreign over domestic cars.

So

\(\pi = \frac{642}{2676} = 0.24\)

The estimate of the proportion of new car buyers who prefer foreign cars is 0.24.

Answer:

No

Step-by-step explanation:

To get if values can create a right angled triangle use the pythogras theory a squared plus b squared equals c squared

So in this case 4 squared plus 6 squared don't equal to 7 squared

Answer:

B.) 21.2 units

Step-by-step explanation:

Radius = Diameter divided by 2

So

Diameter = radius multiple by 2

Answer:

357

Step-by-step explanation:

number of students that would attend this year = percentage of students that attended in 2013 x total number of students

94% x 380 = 357.2

\(\huge\mathcal {♨Answer♥}\)

Let's get the width as \(\large\texttt {x}\)

So,

The length of the rectangle is \(\large\texttt {2x +2}\)

The perimeter of the rectangle is \(\large\texttt {82 inches}\)

Let's get the answer for width,

☆ 2 (2x + 2) + 2x = 82

4x + 4 + 2x = 82

6x + 4 = 82 - 4

6x ÷ 6 = 78 ÷ 6

x = 13

Let's get the answer for length,

☆ 2x + 2

2 × 13 + 2

28

Then,

\(\large\texttt {↪The width is 13 inches}\)

\(\large\texttt {↪The length is 28 inches}\)

☆...hope this helps...☆

_♡_mashi_♡_

The total area of the regions between the curves is 4.5 square units

The graph is attached

From the question, we have the following parameters that can be used in our computation:

y = x² - 6x + 9 and y = x - 1

With the use of graphs, the curves intersect at

x = 2 and x = 5

So, the area of the regions between the curves is

Area = ∫x² - 6x + 9 - x + 1

This gives

Area = ∫x² - 7x + 10

Integrate

Area =  x³/3 - 7x²/2 + 10x

Recall that x = 2 and x = 5

So, we have

Area = [2³/3 - 7(2)²/2 + 10(2)] - [5³/3 - 7(5)²/2 + 10(5)]

Evaluate

Area = 4.5

Hence, the total area of the regions between the curves is 4.5 square units

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Answer:

Step-by-step explanation:

First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03

That means that there was a gain of $7.03 per share for Archie.

That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:

(7.03x100)= 703

The answer then is:

Archie gained $703 from selling all of his shares.

Answer:

17.89 miles long.

Step-by-step explanation:

The pedestrian route that runs diagonally across the rectangular park is the hypotenuse of a right triangle whose legs are the length and width of the park. We can use the Pythagorean theorem to find the length of this diagonal route.

According to the Pythagorean theorem, the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of its legs. In this case, one leg of the right triangle is 16 miles long and the other leg is 8 miles long. So, we have:

d² = 16² + 8²

d² = 256 + 64

d² = 320

d = √320

d ≈ 17.89

So, the pedestrian route that runs diagonally across the park is approximately 17.89 miles long.

Answer:

The answer is commutative and associative.

Step-by-step explanation:

absolute difference is the number of ulps (floating-point intervals) between x and y.

def ulps(x, y):

   # convert to integers

   x_int = int(x * 2**32)

   y_int = int(y * 2**32)

   # calculate and return the difference

   return abs(x_int - y_int)

1. The function takes two floating point parameters, x and y.

2. The function converts the floating point parameters to integers by multiplying each parameter by 2**32.

3. The function then calculates and returns the absolute difference between the two integers.

4. This absolute difference is the number of ulps (floating-point intervals) between x and y.

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Answer:

the dimensions of the corral that minimize the cost of the fencing are approximately 17.91 meters by 6.54 meters.

Step-by-step explanation:

Let the length of the corral be x, and the width be y. We know that the area of the corral is 117, so:

xy = 117

We also know that the corral is divided by a fence into two sections. Let the length of one section be L, and the width be y. Then, the length of the other section will be x - L, and the width will still be y. The total fencing cost will be:

10(2x + 2y) + 6(L + 2y)

Simplifying this expression, we get:

20x + 32y + 6L

Using the area equation, we can rewrite this as:

20x + 32(117/x) + 6L

To minimize the cost, we need to take the derivative of this expression with respect to L, and set it equal to zero:

d/dL [20x + 32(117/x) + 6L] = 6 = 0

Solving for L, we get:

L = x/2

Therefore, the two sections of the corral will have equal length. Substituting this value of L into the expression for total fencing cost, we get:

20x + 32y + 3x

Simplifying this, we get:

23x + 32y

Using the area equation to substitute for y, we get:

23x + 32(117/x)

Taking the derivative of this expression with respect to x, and setting it equal to zero, we get:

23 - 3744/x^2 = 0

Solving for x, we get:

x = sqrt(3744/23) ≈ 17.91

Substituting this value of x into the area equation, we get:

y = 117/x ≈ 6.54

Therefore, the dimensions of the corral that minimize the cost of the fencing are approximately 17.91 meters by 6.54 meters.

Answer:

4,245 miles

Step-by-step explanation:

Hello there,

the reason the answer is 4245 is because its says per minute therefore each minute of the rocket is going 283 miles and when it ask how miles did it travel in 15 minutes u just multiply 283 and 15 which gets you the answer 4245 miles

         Hope dis helps.

Step-by-step explanation:

Step 1:  Multiply them together

Miles Per Minute * Minutes = Miles Traveled

283 * 15 = Miles Traveled

4245 = Miles Traveled

Answer: The rocket will travel 4,245 miles

Answer:

25%

Step-by-step explanation:

Like and give 5 star rating

Mark brainllest please

Answer:

put a closed dot on -10. then draw a right arrow from -10 to 11

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Whenever the sign is greater than, the line needs to go to the right. Moreover, when it also is equal to, the dot must be shaded. The dot also needs to be on -10 in this instance.

In short, shaded dot on -10 going to the right.

The length of fabric Mary need to buy if she wants to sew 2 shirts is:

\(4\frac{3}{4}\)  yards

A fraction represents the parts of a whole or collection of objects e.g. 3/4 shows that out of 4 equal parts, we are referring to 3 parts.

We have that:

3 1/6 yards of the fabric  can make only 1 1/3 shirts.

To find the length of fabric that will sew 2 shirts. We will use the ratio of the number of yards to number of shirts.

Let L be the length of fabric for 2 shirts. Thus, we can say:

\(\frac{3\frac{1}{6} }{1\frac{1}{3} } = \frac{L}{2}\)

\(L = 2 * \frac{3\frac{1}{6} }{1\frac{1}{3} }\)

\(L = 2 * 2\frac{3}{8}\)

\(L = 4\frac{3}{4}\)  yards

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Complete Question

Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock. But this quantity of fabric can make only 1 1/3 shirts. What length of fabric does Mary need to buy if she wants to sew 2 shirts?

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

Answer:

626.71 cm^2

Step-by-step explanation:

Area of figure = area of half circle + Area of half circle + area of a rectangle

here, diameter=15 cm

radius = 15/2=7.5 cm

length=30cm

breadth=15cm

Now

Area of figure = 1/2*π*radius^2+ 1/2*π*radius^2+length*breadth

=1/2* 1/2*π*7.5^2+1/2* 1/2*π*7.5^2+30*15

=626.71 cm^2

Answer:

b

Step-by-step explanation:

Answer:

6 and 5

Step-by-step explanation:

Consecutive means that it is continuous, and since the triangle largest side (7) has to be less than the additive of two other sides. Therefore 6 and 5. Hope this helps.

Answer:

the hypotenuse is 25m while the other leg is 24m

Hope this helps

Answer:

i got the first one

plz help me rate me brainest

Answer:

  (c)  (-∞, -2] ∪ (-1, ∞)

Step-by-step explanation:

You want the range of the piecewise function shown in the graph.

The range is the vertical extent of the graph, the set of possible output values of the function.

This graph shows a gap between y = -2 and y = -1. The value y = -2 is included in the range, but the value y = -1 is not. (That's what the open circle means.)

Hence, the range is ...

  (-∞, -2] ∪ (-1, ∞)

Answer:

4/10

Step-by-step explanation:

add the miles up so you can find it out

Answer:

17.8

Step-by-step explanation:

You have to add 9.2 and 63 and the subtract from 90. Hope this helped! <3

The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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Answer:

It's the last one

I hoped that helped