Answer:
8 cm
Step-by-step explanation:
A = L x W
40= L x 5
40÷5=L
L= 8cm
Answer:
P-value = 0.009997
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 24
Nature of test: One-tailed test(Left tailed test)

We have to calculate the p-value.
Degree of freedom = n - 1 = 23
We calculate the p-value from the table corresponding to t score -2.50 and degree of freedom 23.
P-value = 0.009997
0.009997 is the probability of a value being to the left of a number that has a student-t statistic of –2.50.
Answer:
76.9690 square units (rounded off to four decimal values)
Step-by-step explanation:
The diameter of the semicircle is 14 units
The radius of the semicircle is thus 14 ÷ 2 = 7 units
Area of a semicircle is given by:
× π × r²
In our case, the area is =
× π × 7² = 76.9690200129 square units
Or 76.9690 square units (rounded off to four decimal values)
Multiply the two desired probabilities to find the answer.
5/12 is the probability for the plain pencil since there are 5 pencils out of 12 total items.
1/2 is the probability for the colored pencil since there are 3 colored pencils out of 6 total items. 3/6 simplifies to 1/2.
5/12*1/2= 5/24
Final answer: 5/24