Answer:
B, x=5
Step-by-step explanation:
Both triangles are similar with a ratio of 22.5/9
so using that an equation can be created like this,
= 
If simplified, 22.9(x + 4.44) = 23.5(9)
22.5x + 99 = 211.5
22.5x = 112.5
<u><em>x = 5</em></u>
We know that
(1/4) hour---------> 0.25 hour
if the pump r<span>ecirculate 75 gallons of water in -------------> 0.25 hour
X </span>gallons of water in-----------------------------------------> 1 hour
X=75/0.25----------> x=300 gallons /hour
the answer is 300 gallons /hour
Answer:
The probability that a voter chosen at random is in the 18 to 20 years old age range is = 4.2/ 134.8= 0.0311572
Step-by-step explanation:
We can find the probability by simply dividing the frequency of the ages range of 18-20 by the total frequency.
Ages Frequency
18 to 20 4.2
21 to 24 7.8
25 to 34 20.8
35 to 44 23.7
45 to 64 50.1
<u>65 and over 28.2</u>
<u>∑ 134.8</u>
The probability of an event is given by the occurrence of an event by the total occurrences .
So
Here the occurrence of ages 18-20 is given by 4.2
and the total frequency is 134.8
The probability that a voter chosen at random is in the 18 to 20 years old age range is = 4.2/ 134.8= 0.0311572
<h2>
Answer with explanation:</h2>
Let
be the population mean.
By observing the given information, we have :-

Since the alternative hypotheses is left tailed so the test is a right-tailed test.
We assume that the time spend by students per day is normally distributed.
Given : Sample size : n=121 , since n>30 so we use z-test.
Sample mean : 
Standard deviation : 
Test statistic for population mean :-


Critical value (one-tailed) corresponds to the given significance level :-

Since the observed value of z (-7.79) is less than the critical value (1.2816) , so we do not reject the null hypothesis.
Hence, we conclude that we have enough evidence to accept that the college students spend an average of 4 hours or less studying per day.
Answer:
16
Step-by-step explanation: