Answer:
Hypothesis rejected
Step-by-step explanation:
Lets use the t-test since the variance of the population is now known. We need to test the hypothesis that H_0: \mu \leq 79 \text{ vs } H_1: \mu > 79 . This is performed in R as follows:
t.test(tt$Test.2.Score,mu=79,alternative="greater")
One Sample t-test
data: tt$Test.2.Score
t = 2.9238, df = 69, p-value = 0.002337
alternative hypothesis: true mean is greater than 79
95 percent confidence interval:
81.26555 Inf
sample estimates:
mean of x
84.27143
Thus, we reject the null hypothesis and conclude that \mu > 79.
Answer:
(7,4)
Step-by-step explanation:
The midpoint formula is expressed as:
M(X, Y) = {(x2+x1)/2, (y2+y1)/2
Given the coordinates of the midpoint
M(2.5, -1.5)
Endpoint A(-2, -7)
Required
Endpoint B
From the formula;
X = x2+x1/2
Given
X = 2.5, x1 = -2
Get x2
2.5 = -2+x2/2
5 = -2+x2
x2 = 5+2
x2 = 7
Also
Y = y2+y1/2
-1.5 = -7+y2/2
-3 =-7+y2
y2 = -3+7
y2 = 4
Hence the coordinate of the endpoint B (x2,y2) is (7,4)
A. the insurance company's payment = $14,392
$18240 - $250 = 17990 x 80% = $14,392
b. <span>the 20% copayment
17990 * 20% = $3598
</span>
<span>c. Mary's total cost
$250 + $3598 = $3848
</span>
Answer:
17mL
Step-by-step explanation:
Convert 0.85 gr to miligrams
If 100 mg is 1 gr. Then, 0.85 gr is 850 mg
So, 850 multiply for 5ml and divide for 250 ml
or 
So all mg is gone and the amount of mililiters is 17
The packing crate measures 3 feet by 12 feet by 7 feet (volume). To find the area of the smallest side, multiply the two smaller numbers
3 x 7 = 21
21 feet² is the area of the smallest side
hope this helps