Answer:
29.2
Step-by-step explanation:
Mean = 21.4
Standard deviation = 5.9%
The minimum score required for the scholarship which is the scores of the top 9% is calculated using the Z - Score Formula.
The Z- score formula is given as:
z = x - μ /σ
Z score ( z) is determined by checking the z score percentile of the normal distribution
In the question we are told that it is the students who scores are in the top 9%
The top 9% is determined by finding the z score of the 91st percentile on the normal distribution
z score of the 91st percentile = 1.341
Using the formula
z = x - μ /σ
Where
z = z score of the 91st percentile = 1.341
μ = mean = 21.4
σ = Standard deviation = 5.9
1.341= x - 21.4 / 5.9
Cross multiply
1.341 × 5.9 = x - 21.4
7.7526 = x -21.4
x = 7.7526 + 21.4
x = 29.1526
The 91st percentile is at the score of 29.1526.
We were asked in the question to round up to the nearest tenth.
Approximately, = 29.2
The minimum score required for the scholarship to the nearest tenth is 29.2 .
Answer:
39 hours
Step-by-step explanation:
Mary earns an hourly wage of $13
plus a $90 bonus.
Her total paycheck shows she received $597
Subtracting the bonus we get;
$597 - $90 = $507
1 hour -> she gets $13
how many hours will she get $507
Cross multiplying gives;
hours
The LCD would the 10 since that is the lowest multiple that they both have in common.
Answer:
First row - X+X-2
Second row- x +2-x
Step-by-step explanation:
Answer:
a) the probability of winning A and B is 0.4 (40%)
b) the probability of not winning either project is 0.1 (10%)
Step-by-step explanation:
if 2 events are independent then
P(A∩B)=P(A)*P(B)
where
P(A)= probability of winning project A
P(B)= probability of winning project B
P(A∩B)= probability of winning projects A and B
replacing values
P(A∩B)=P(A)*P(B) = 0.50 * 0.8 = 0.4
b) since
P(A∪B) = P(A) + P(B) - P(A∩B) = 0.50 + 0.8 - 0.4 = 0.9
where
P(A∪B) = probability of winning A or B
therefore
probability of not winning either project = 1 - P(A∪B) = 1 - 0.9 = 0.1 (10%)
