Answer:
There is one solution
Step-by-step explanation:
The solution is 
Explanation:




AGF:55
BGC: 35
CGD: 55
EGD: 90
Answer:
The <em>p</em>-value is 0.0802.
Step-by-step explanation:
The hypothesis for a test is defined as:
<em>H₀</em>: <em>μ</em> = 800 vs. <em>Hₐ</em>: <em>μ</em> ≠ 800
A two tailed test for the population mean can be performed using a <em>z</em>-test or a <em>t</em>-test.
A <em>z</em>-test is used if the data provided has information related to the population standard deviation and the sample size is large, i.e. <em>n </em><u>></u> 30.
And if the population standard deviation is not known and the sample size is small, then the <em>t</em>-test will be used.
Since there is no information about either the population standard deviation or the sample size, assume that <em>z</em>-test is used.
The test statistic value is:
<em>z</em> = 1.75
Compute the <em>p</em>-value of the test as follows:


*Use a <em>z</em>-table for the probability.
Thus, the <em>p</em>-value is 0.0802.
Answer:
Yes.
Step-by-step explanation:
Divide - 48 / 8 which equals 6. Stacey makes 6 necklaces in 1 minute. Then, do 24 / 4. This also equals 6. Nick makes 6 necklaces in one minute. Therefore, their speed is equivalent.
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Answer:
a. 3
b. -22
c. -2
d. -2
e. 5a + 8
f. a² + 6a + 3
Step-by-step explanation:
Calculate the answers by substituting the values inside of the parenthesis for 'x':
a. f(1) = 5(1) - 2 = 3
b. f(-4) = 5(-4) - 2 = -22
c. g(-3) = (-3)² + 2(-3) - 5 = 9 - 6 - 5 = -2
d. g(1) = 1² + 2(1) - 5 = 1 + 2 -5 = -2
e. f(a+ 2) = 5(a+2) - 2 = 5a + 10 - 2 = 5a + 8
f. g(a + 2) = (a + 2)² + 2(a + 2) - 5 = a² + 4a + 4 + 2a + 4 - 5 =
a² + 6a + 3