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vesna_86 [32]
3 years ago
6

Max travels to see his brothers family by car he drives 216 miles in 4 hours what is his rate in miles per hour? Use a double nu

mber line to show your work.
Mathematics
1 answer:
kotykmax [81]3 years ago
6 0

Answer:

The rate of the car is S = 54 \frac{mi}{hr}

Step-by-step explanation:

Distance traveled = 216 miles

Time taken = 4 hours

We know that speed of any object who travels a distance D in time T hours is given by the formula

⇒ S = \frac{D}{T}

⇒ Put the values of D & T in the above formula

S = \frac{216}{4}

S = 54 \frac{mi}{hr}

Therefore the rate of the car is S = 54 \frac{mi}{hr}

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Given the diagram above, m∠Z is:
Mama L [17]

Answer:

z = 120º

Step-by-step explanation:

t + 2t + t + 2t = 360º

60 + 2(60) + 60 + 2(60) = 360

t = 60

2t = z

z = 120º

This is all based on the fact there there are 360º in a quadrilateral.

5 0
3 years ago
Please help me write an equation.
vekshin1

Answer:

k=6

Step-by-step explanation:

Line partition formula

1/b(x2-x1)+x1, 1/b(y2-y1)+y1

Where b is the number partitions.

We know the x values so Subsitue 17 for x2 and 2 for x1. and we know this value must equal 7.

1/b(17-2)+2=7

1/b(15)=5

1/b=1/3

b=3

so the partition is 1/3

\frac{1}{3} (17 - 2) + 2 = 7

So let find the y coordinate

\frac{1}{3} (8 - 5) + 5 = 6

So our y coordinate is 6.

4 0
3 years ago
In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm ha
Afina-wow [57]

Answer:

A sample size of 79 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

\pi = 0.21

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.  

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.09 = 1.96\sqrt{\frac{0.21*0.79}{n}}

0.09\sqrt{n} = 1.96\sqrt{0.21*0.79}

\sqrt{n} = \frac{1.96\sqrt{0.21*0.79}}{0.09}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.21*0.79}}{0.09})^{2}

n = 78.68

Rounding up to the nearest whole number.

A sample size of 79 is needed.

4 0
3 years ago
Which of the following describes the behavior of the graph shown over the interval (-2,2)?
sergejj [24]

Hello!

We are trying to describe the behavior of the graph given in the question.

To help us understand how to solve this question, we would need to understand <u>concavity.</u>

There are two types of concavity:

  • Concave <em>up</em>
  • Concave <em>down</em>

When a graph is concave up, the slope of the line would look like a "U".

When a graph is concave down, the slope of the line would look like a "U" that is flipped upside down.

In this case, we can see that the graph is concave down.

We can tell that the <em>slope</em> is negative due to the fact that the slope is going <u>down,</u> which results in the graph having a negative slope.

We can also tell that the graph is decreasing due to the fact that the line is doing downward.

Answer:

C). negative and decreasing

7 0
1 year ago
Melinda spend $14.25 on school supplies Dr spend $2.30 more than Melinda
zloy xaker [14]
14.25+2.30=16.55     so, dr spent $16.55 on school supplies
3 0
3 years ago
Read 2 more answers
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