12.50 for 5 ounces unit rate

The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes

kifflom [539]

We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.

(a) Average time that it would take reach school can be obtained by adding the average times.

8+20 = 28 minutes.

(b) Standard deviation of the trip to school can be found as:

$\sigma =\sqrt{2^{2}+4^{2}}=\sqrt{4+16}=\sqrt{20}=4.47$

Therefore, standard deviation of the entire trip is 4.47 minutes.

(c) Let us first find z score corresponding to 30 minutes. $z=\frac{x-\mu }{\sigma }=\frac{30-28}{4.47}=0.447$

We need to find the probability such that $P(x>30)=P(z>0.447)=0.67$

Therefore, the required probability is 0.67.

(d) If average time to walk to school is 10 minutes, then overall average time for the trip will be 10+20 = 30 minutes.

(e) Standard deviation won't change it will remain 4.47

(f) The new probability will be:

$z=\frac{x-\mu }{\sigma }=\frac{30-90}{4.47}=0$

$P(x>30)=P(z>0)=0.5$

Therefore, probability will be 0.50.

6 0

3 years ago

Read 2 more answers

An ostrich can run 25 miles in 40 minutes. How many minutes will it take the ostrich to run 40 miles if it runs at the same spee

fenix001 [56]

The Ostrich will take 64 minutes to cover 40 miles.

Data;

rate = 25 miles in 40 minute

To calculate the time it will take the ostrich to cover 40 miles, we have to compare it with the rate (speed).

$25mi = 40 min\\40 mi = x min$

Cross multiply both sides

$x * 25 =40 * 40$

simplify the value

$x*25=40*40\\25x = 1600\\$

divide both sides by the coefficient of x

$25x = 1600\\25x/25 = 1600/25\\x = 64$

From the calculations above, it would take the ostrich 64 minutes to cover 40 miles.

Learn more on rates here;

brainly.com/question/8728504

6 0

2 years ago

F ( x ) = 5^x+ 2; g ( x ) = 5^-x + 6

Anton [14]

*GUARANTEED ANSWER ✅*

Down below is the equation graphed

3 0

3 years ago

Sahra is three times as old as her daughter. If the sum of their age is 32. what is the age of the daughter?

Andrews [41]

So Sahra is 3 times as old as her daugter. That means that the sum of their age is the daughters age times 4.
We can prove that by saying the daughters age is x. Sahra's age must be 3x. Their sum must be x+3x = 4x.
So to get the daughters age we divide the sum by 4, which is 8.

8 0

3 years ago

Read 2 more answers

Write a verbal sentence to represent 5x+7=18

Romashka-Z-Leto [24]

Five times x plus seven equals eighteen

7 0

3 years ago

Read 2 more answers