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2 years ago

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Stefanie is planning a 610-mile trip. Her car’s EPA rating is 34 mpg on the highway. How many gallons of gas will she require fo

r the trip? Round your answer to the nearest whole gallon.

1 answer:

agasfer [191]2 years ago

3 0

It going to be 79 mile

You might be interested in

Liono4ka [1.6K]

Answer:

Part 1: The polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.

Part 2: The vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).

Step-by-step explanation:

Part 1:

The vertices of the polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6).

The vertices of the polygon MNOPQ are M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).

We need to find the transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ.

The relation between the vertices of ABCDE and MNOPQ are defined as

$(x,y)\rightarrow (-x,y)$

It means the polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.

Part 2:

If polygon MNOPQ is translated 3 units right and 5 units down, then

$(x,y)\rightarrow (x+3,y-5)$

$M(-2,8)\rightarrow V(-2+3,8-5)=V(1,3)$

$N(-4,12)\rightarrow W(-4+3,12-5)=W(-1,7)$

$O(-10,12)\rightarrow X(-10+3,12-5)=X(-7,7)$

$P(-8,8)\rightarrow Y(-8+3,8-5)=Y(-5,3)$

$Q(-6,6)\rightarrow Z(-6+3,6-5)=Z(-3,1)$

Therefore the vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).

6 0

2 years ago

Round 0.8127 to 3 decimal places

Ainat [17]

0.813 is your answer because 7 is higher than 5 which means you have to round it up and not down

4 0

2 years ago

Read 2 more answers

In an analysis of healthcare data, ages have been rounded to the nearest multiple of 5 years. The difference between the true ag

Mars2501 [29]

Answer:

The approximate probability that the mean of the rounded ages within 0.25 years of the mean of the true ages is P=0.766.

Step-by-step explanation:

We have a uniform distribution from which we are taking a sample of size n=48. We have to determine the sampling distribution and calculate the probability of getting a sample within 0.25 years of the mean of the true ages.

The mean of the uniform distribution is:

$\mu=\dfrac{Max+Min}{2}=\dfrac{2.5+(-2.5)}{2}=0$

The standard deviation of the uniform distribution is:

$\sigma=\dfrac{Max-Min}{\sqrt{12}}=\dfrac{2.5-(-2.5)}{\sqrt{12}}=\dfrac{5}{3.46}=1.44$

The sampling distribution can be approximated as a normal distribution with the following parameters:

$\mu_s=\mu=0\\\\\sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1.44}{\sqrt{48}}=\dfrac{1.44}{6.93}=0.21$

We can now calculate the probability that the sample mean falls within 0.25 from the mean of the true ages using the z-score:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{0.25-0}{0.21}=\dfrac{0.25}{0.21}=1.19\\\\\\P(|X_s-\mu|$

7 0

2 years ago

An insurance company uses the formula T=3.5n + 5 to work out the cost, T pounds, for insuring a customer for n days. Work out th

artcher [175]

Answer:

Cost of travel insurance for 4 days = 19 pounds

Step-by-step explanation:

The insurance company uses the formula T = 3.5n + 5 to work out the cost , T pounds for insuring the customer for n number of days . Where n is the number of days.

The algebraic equation given has two variables which are cost T of insuring and n which is the number of days for insuring. Mathematically,

T = cost of insuring in pounds

n = number of days

Therefore, finding the cost T for 4 days

T = 3.5n + 5

T = 3.5 × 4 + 5

T = 14 + 5

T = 19 pounds

Cost of travel insurance for 4 days = 19 pounds

8 0

2 years ago

A study was done that looked at how much red meat people consumed and how long they lived. The correlation r was found to be 0.9

AVprozaik [17]

Answer:

False

Step-by-step explanation:

Since the correlation r was found to be 0.98 (a value closer to 1).

Let X =how much red meat people consumed

let Y = how long they lived.

where the x-values are the values of the deviations of co-ordinates X from Xₙ, their mean value and the y-values are the values of the deviations of co-ordinates Y from Yₙ, their mean value.

That is, x=(X−Xₙ) and y=(Y−Yₙ).

The results of this determination give values of r lying between +1 and −1, where;

+1 indicates perfect direct correlation,

−1 indicates perfect inverse correlation and

0 indicates that no correlation exists.

Between these values, the smaller the value of r, the less is the amount of correlation which exists.

Generally, values of r in the ranges 0.7 to 1 and −0.7 to −1 show that a fair amount of correlation exists.

therefore, it can be seen that there is a perfect relationship between the quantity eaten and how long the person live

But, the correlation does not consider those that does not consume meat, and it is very hard to determined the answer to the question.

the answer is false because there are other reasons that determined longevity of life apart from meat consumption.

3 0

2 years ago