Answer:
C
Step-by-step explanation:
according to sine rule,
sin(30)/8=sin(x)/11
solving above equation will give
x=43.3
Answer:
(a) = 11 cm
Step-by-step explanation:
The formula for finding the surface area of a regular pyramid is B + (1/2*P*l), with B being the area of the base, p being the perimeter of the base, and l being the slant of the pyramid.
The area of a pentagon can be solved using the formula 1/2*a*p, with a being the apothem and p being the perimeter of the pentagon.
- B + (1/2*80*15) = 1040
- B + 600 = 1040
- 1040 - 600 = 440 (440 is the area of pentagon)
- 1/2*a*(16*5) = 440
- 40*a = 440
- 440/40 = 11
The apothem is 11 cm. Hope this helps!
Answer:
9.34%
Step-by-step explanation:
p = 4%, or 0.04
n = Sample size = 667
u = Expected value = n * p = 667 * 0.04 = 26.68
SD = Standard deviation = 
= 5.06
Now, the question is if the manager is correct, what is the probability that the proportion of flops in a sample of 667 released films would be greater than 5%?
This statement implies that the p-vlaue of Z when X = 5% * 667 = 33.35
Since,
Z = (X - u) / SD
We have;
Z = (33.35 - 26.68) / 5.06
Z = 1.32
From the Z-table, the p-value of 1.32 is 0.9066
1 - 0.9066 = 0.0934, or 9.34%
Therefore, the probability that the proportion of flops in a sample of 667 released films would be greater than 5% is 9.34%.
The answer is negative. You subtract 730 from 850
Answer:
All three statements are true
Step-by-step explanation:
A shipping fee of 5% is charged online with every item purchased online
First let's just take each option and calculate them based on this, to see if the answers matched
Keith buys a 40 dollar book
40 x 0.05 = 2
Therefore there will be a two dollar fee on Keith's book
40 + 2 =42
The first statement is true
A chair costs $80
80 x 0.05 = 4
80 + 4 = 84
The second statement is true
George buys a 20 dollar calculator
20 x 0.05 = 1
20 + 1 = 21
The third statements are true
All three statements are true
