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Answer:
P = 0.018
Step-by-step explanation:
In this problem, the null and alterantive hypothesis are:
If the sample has a size of n = 40, the degrees of freedom are 40-1 = 39.
If the value of the test statistic is t = 2.463, we can look up in a t-table to find the p-value. In this test, because the mean can be bigger than 73 or smaller than 73, we have to do a two-tailed test.
For a two-tailed test for t = 2.463 and df = 39, the P-value is P = 0.018.
Answer:
RS = 30 units
Step-by-step explanation:
Given:
Length (PS) =
Width (PQ) =
Perimeter = 134 units
Required:
RS (width)
SOLUTION:
Perimeter of a rectangle = 2(length + width)
Plug in the values into the equation
134 = 2[(4y + 1) + (3y + 3)]
134 = 2[4y + 1 + 3y + 3]
134 = 2[7y + 4]
134 = 14y + 8
Subtract 8 from each side of the equation
134 - 8 = 14y
126 = 14y
Divide both sides by 14.
126/14 = 14y/14
9 = y
y = 9
✍️RS = Width (PQ) =
Plug in the value of y
RS = tex] 3(9) + 3 [/tex]
RS = tex] 27 + 3 [/tex]
RS = 30