Hello.
In order to solve a proportion, you should cross-multiply:
Multiply 7 times 9 and 5 times x:
5x=63
Divide both sides by 5:
x=
Now let's solve the second proportion.
Multiply 8p times 6 and 12 times 15:
48p=180
Divide both sides by 48:
p=3.75
I hope it helps.
Have an outstanding day.
Answer:
62.17% probability that a randomly selected exam will require more than 15 minutes to grade
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
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 problem, we have that:
What is the probability that a randomly selected exam will require more than 15 minutes to grade
This is 1 subtracted by the pvalue of Z when X = 15. So
has a pvalue of 0.3783.
1 - 0.3783 = 0.6217
62.17% probability that a randomly selected exam will require more than 15 minutes to grade
<h3>x = 21/5</h3>
Step-by-step explanation:
<h3>___________________________</h3><h3>Given →</h3>5x:9 = 7:3
<h3>So,</h3>→ 5x/9 = 7/3
→ x = (7 × 9)/(3 × 5)
→ x = 21/5
<h3>___________________________</h3><h3>Hope it helps you!!</h3>