What ratio would you use to convert 366 minutes to hours

The waiting times at a certain bank are normally distributed with a mean waiting time of 3.7 minutes and a standard deviation of

muminat

Answer:

From the given options we can say the correct answer is d.) 6.3

Step-by-step explanation:

The waiting times at the bank are given to be normally distributed.

The mean of the waiting time is given as = 3.7 minutes

The given standard deviation is = 1.4 minutes

It is required to find the waiting time at the 97th percentile.

So we are required to find the time which can be said to be the waiting time which occurs with 97 % probability.

Let the time required be designated as y.

Therefore we can write p(X < y) = 0.97 (where 0.97 means the 97th percentile)

This is a left tailed test.

Using the formula from MSEXCEL to find y we get

y = NORMINV(0.97, 3.7, 1.4) = 6.333.

The other approach would to find the Z value corresponding to the probability value from the Z Table

The Z value for a probability of 0.97 gives us Z = 1.881 .

Therefore $\frac{y - 3.7}{1.4} = 1.881$ . Therefore y = (1.881 × 1.4) + 3.7 = 6.33

Therefore from the given options we can say the correct answer is d.) 6.3

7 0

3 years ago

austin is riding his bicycle. He rides for 27.5 kilometers at a speed of 11 kilometers per hours for how many hours did he ride?

Ludmilka [50]

Divide 27.5/11, and you get 2.5.
Austin rode for 2.5 hours (2 and a half hours).

4 0

3 years ago

A snail moves at a speed of 3.147 inches per minute. If the snail keeps moving at this rate, about how many inches will it trave

aleksandr82 [10.1K]

We can write a proportion for this question...

3.147/1=x/5.747

We can now solve for x by using cross multiplication. Multiply 3.147 and 5.747 and you get 18.085809. X times 1 is just x. x=18.085809. Although this seems like a crazy number it is a correct value

3 0

4 years ago

Are the two triangles similar? If so, state the reason and the similarity statement.

ASHA 777 [7]

Answer:

C :)

Step-by-step explanation:

4 0

3 years ago

Cesar is making a model of the Eiffel Tower. The height of the tower is 984 feet, and Cesar wants to make a 1.5-foot

n200080 [17]

Answer:

See below

Step-by-step explanation:

First, lets see how many feet of the original Eiffel tower (O) are represented in 1 foot of Caesar's tower model (M). We know that 1.5 foot is equal to 984 feet of the original, so we can say:

1.5 M = 984 O, this is our equivalence.

Now divide both sides by 1.5

1.5 M / 1.5 = 984 O / 1.5

1 M = 656 O

So, 1 foot of Cesar's Model is 684 feet of the original tower. We also know that 1 foot is equal to 12 inches, so we can say that 12 inches of Cesar Model (12 m) are equivalent to 656 feet of the original tower. So:

12 m = 656 O

If we divide both sides by 12:

m = 656/12 O

m = 56.67

So, 1 inch in Cesar's model represent 56.67 feet of the original Eiffel Tower.

Lets verify our result by multiplying 56.67 by 12 to get 1 feet and then by 1.5 to get the measure of the model:

56.67*12*1.5 = 984 feet, which is the height of the Eiffel tower.

Scale: 1 inch = 56.67 feet

5 0

4 years ago