Answer:
Step-by-step explanation:
c + a = 342 ..................... <em>(1)</em>
5c + 12a = 2550 ........... <em>(2)</em>
- 5 × <em>(1)</em> + <em>(2)</em>
7a = 840
<em>a = 120</em>
<em>c</em> = 342 - 120 <em>= 222</em>
Answer:


A)what is the probability that the sample mean will be More than 58 pounds
P(x>58)
Formula : 
Substitute the values :


refer the z table
P(x<58)=0.5359
P(X>58)=1-P(x<58)=1-0.5359=0.4641
Hence the probability that the sample mean will be More than 58 pounds is 0.4641
B)what is the probability that the sample mean will be More than 57 pounds
P(x>57)
Formula : 
Substitute the values :


refer the z table
P(x<57)=0.5040
P(X>57)=1-P(x<57)=1-0.5040=0.496
Hence the probability that the sample mean will be More than 57 pounds is 0.496
C)what is the probability that the sample mean will be Between 55 and 57 pound
Formula : 
Substitute the values :


refer the z table
P(x<57)=0.5040
Formula : 
Substitute the values :


refer the z table
P(x<55)=0.4443
P(55<x<57)=P9x<57)-P(x<55) =0.5040-0.4443=0.0597
Hence the probability that the sample mean will be Between 55 and 57 pounds is 0.0597
D)what is the probability that the sample mean will be Less than 53 pounds
Formula : 
Substitute the values :


refer the z table
P(x<53)=0.3783
The probability that the sample mean will be Less than 53 pounds is 0.3783
E)what is the probability that the sample mean will be Less than 48 pounds
Formula : 
Substitute the values :


refer the z table
P(x<48)=0.2358
The probability that the sample mean will be Less than 48 pounds is 0.2358
The solution to the problem is as follows:
f o g = 8x + 7
<span>g o f = 2 ( 4x + 7 ) = 8x + 14
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
D) The manager should fail to reject the null hypothesis; there is not enough evidence to conclude that the number of unique daily listeners has changed.
Step-by-step explanation:
The scenario indicates the null hypotheses and alternative hypotheses are
Null hypotheses: The number of unique daily listeners hasn't changed.
Alternative hypotheses: The number of unique daily listeners has changed.
The null hypothesis is rejected if the calculated p-value is less significance level.
We are given that p-value is 0.0743 and confidence level=0.95.
Significance level =α=1-0.95=0.05.
As we can see the p-value is greater than significance level, so, we fail to reject the null hypotheses at 5% significance level.
Thus, we conclude at the 95% confidence level that the manager should fail to reject the null hypothesis; there is not enough evidence to conclude that the number of unique daily listeners has changed
Answer:
The answer is D
Step-by-step explanation:
Base area: 9 x 7 = 63
63 x 5 = 315