Answer:
16
Step-by-step explanation:
x+2x=24
x=8
2x=raisins=16
Answer:
i) 60°
ii) 14.7 cm
Step-by-step explanation:
length of Arc BA = 8.4 cm
length of radius = 8 cm
angle AOC = 45°
BO = AO = CO = 8 cm
<u>i) What is the measure of Angle BOA </u>
= length of Arc BA / Radius
= 8.4 / 8 = 1.05 radians = 60.16° ≈ 60°
<u>ii) what is the length of arc BAC</u>
= radius * angle BAC * 
angle BAC = angle AOC + angle BOA
= 45° + 60° = 105°
hence length of arc BAC
= 8 * 105 * 
≈ 14.7 cm
Answer: She has $1022 left.
Step-by-step explanation:
The total amount that Amee received an the end of year as bonus at work is $1550.
She went on a shopping spree, spending $225 at the department store, $275 at the home furnishing store, and $28 at the card shop. Therefore, the total amount that she spent at the department store, the home furnishing store, and the card shop is
225 + 275 + 28 = $528
Therefore, the total amount of her bonus that she has left is
1550 - 528 = $1022
Answer: C. 461
Step-by-step explanation:
We know that the formula to find the sample size is given by :-

, where
= Population standard deviation from prior study.
E = margin of error.
z* = Critical value.
As per given , we have
E= 15
Significance level : 
Critical value (Two tailed)=
Now , Required sample size = 
[Round to next integer]
Hence, the required sample size to be taken is 461.
Correct answer = C. 461
Answer:
(A)

(B)
Then the cumulative function would be
if 0<x<1
0 otherwise.
Step-by-step explanation:
(A)
We are looking for the probability that the random variable X is greater than 0.8.

(B)
For any
you are looking for the probability
which is

Then the cumulative function would be
if 0<x<1
0 otherwise.