What is the area of a circle with a circumference of 75.36?

jet skis rent for $25 per hour plus a flat fee of $50. Noel has $200 to spend. what is the maximum value in the domain of this s

Nady [450]

Answer:

$150

Step-by-step explanation:

25x4=100

100+50=150

so she has $50 to spend on other things

i dont know if this is what its asking or how

6 0

3 years ago

Suppose that 21 out of 25 people who apply to a certain college are accepted. What percentage of people who apply are accepted t

IgorC [24]

Answer:

84%

Step-by-step explanation:

The first step is to write 21 as a fraction of 25, which is simply

21/25

Now we just need to convert this fraction to a percentage :

21/25 = 84

So, 21 is 84% of 25

8 0

3 years ago

At a Psychology final exam, the scores are normally distributed with a mean 73 points and a standard deviation of 10.6 points. T

USPshnik [31]

Answer:

The score that separates the lower 5% of the class from the rest of the class is 55.6.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu = 73, \sigma = 10.6$

Find the score that separates the lower 5% of the class from the rest of the class.

This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.

$Z = \frac{X - \mu}{\sigma}$

$-1.645 = \frac{X - 73}{10.6}$

$X - 73 = -1.645*10.6$

$X = 55.6$

The score that separates the lower 5% of the class from the rest of the class is 55.6.

3 0

3 years ago

Lisa and Bart spin this spinner 60 times the result are below/ black=17 blue=15 orange=21 purple=7 a. What is the experimental p

asambeis [7]

$\text{Answer: a) }P(\text{ getting an orange )}=\frac{7}{20}$

b) Blue color had an experimental probability that matched its theoretical probability.

Explanation:

Since we have given that

Number of times this spinner is spinned = 60

Number of times black occur = 17

Number of times blue occur = 15

Number of times orange occur = 21

Number of times purple occur = 7

a) So, Experimental probability of a spin of orange is given by

$P(\text{ getting an orange }=\frac{\text{ Number of times orange occur}}{\text{total number of times the spinner spins}}\\\\P(\text{ getting an orange})}=\frac{21}{60}=\frac{7}{20}$