What is the solution and what are the steps to finding it?

John drove to Daytona Beach, Florida, in hours. When he returned, there was less traffic, and the trip took only hours. If John

olga55 [171]

Question: John drove to a distant city in 5 hours.

When he returned, there was less traffic and the trip took only 3 hours.

If John averaged 26 mph faster on the return trip, how fast did he drive each way

Answer:

For the first trip he drove at a speed of 39 mph

For the second trip he drove at a speed of 65 mph

Step-by-step explanation:

Let the distance for both journey be Z because they are equal.

Let the speed for the first journey be X

Let the speed of the second journey be Y

Formula for speed = distance ÷ time

For the first journey the speed X = Z ÷ 5

For the second journey the speed Y = Z ÷ 3

Since John averaged 26 mph faster in the second trip than the first trip due to traffic, it means that the difference in speed between the first & second trip is 26 mph

Difference in speed = (Z÷3) - (Z÷5) = 26

subtracting both results to (5Z-3Z) ÷ 15 = 26

Upon cross multiplication

2Z = 390

Z = 390÷2 = 195 miles

Therefore speed for first journey = 195 ÷ 5 = 39 mph

Speed for second journey = 195 ÷ 3 = 65 mph

To verify, 65 - 39 = 26 mph

8 0

3 years ago

M+12=10 what is the answer to this equation?

Fofino [41]

M = -2 is da answer to da equation

8 0

3 years ago

Read 2 more answers

Which of the following describes the transformation of g(x)=-(2)^x+4from the parent function f(x)=2^x

Marina CMI [18]

Answer:

Shift 4 units left, reflected over x-axis, shift two units down.

Step-by-step explanation:

ok, so what happened was 4 was added to every x, the whole thing was multiplied by -1 and -2 was added to the whole function

so

adding 4 to every x shifts the graph to the left 4 units

multiplying the whole function by -1 reflects it over the x axis

adding -2 to the whole function moves it down2 units

plz mark me as brainliest :)

7 0

3 years ago

each classmate contributes 2$ gor charity. write an expresstion for the amont of money rasied by your class

maria [59]

Multiply the number of students in your class by 2

30 times 2 = 60

5 0

3 years ago

Read 2 more answers

Since 1936, the Gallup Organization has been asking Americans: "Are you in favor of the death penalty for a person convicted of

USPshnik [31]

Answer:

98% confidence interval for the proportion of all American females who support the death penalty for convicted murders is [0.59 , 0.64].

Step-by-step explanation:

We are given that the results of the most recent survey; in a sample of 3100 females, 62% said that they were in favor of the death penalty for convicted murders.

Firstly, the pivotal quantity for 98% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of females who were in favor of the death penalty for convicted murders = 62%

n = sample of females = 3100

p = population proportion of all American females who support the death penalty

Here for constructing 98% confidence interval we have used One-sample z proportion statistics.

So, 98% confidence interval for the population proportion, p is ;

P(-2.33 < N(0,1) < 2.33) = 0.98 {As the critical value of z at 1% level

of significance are -2.33 & 2.33}

P(-2.33 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 2.33) = 0.98

P( $-2.33 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $2.33 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.98

P( $\hat p-2.33 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+2.33 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.98

98% confidence interval for p = [ $\hat p-2.33 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+2.33 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.62-2.33 \times {\sqrt{\frac{0.62(1-0.62)}{3100} } }$ , $0.62+2.33 \times {\sqrt{\frac{0.62(1-0.62)}{3100} } }$ ]

= [0.59 , 0.64]

Therefore, 98% confidence interval for the proportion of all American females who support the death penalty for convicted murders is [0.59 , 0.64].

4 0

3 years ago