Answer:
125.25
Step-by-step explanation:
5 cube =125
1/2=0.5
0.5 squared =0.25
125+0.25=125.25
Answer:
The z- score for a value of 3.99 will be 3.38.
Step-by-step explanation:
It is given that the mean of a set of data is -3.82 and its standard deviation is 2.31.
Thus, the value of the z-score=
=
=
=
=
Thus, the z- score for a value of 3.99 will be 3.38.
Answer:
a=apples
b=bananas
s=strawberries
6a, 12b, 14s
Step-by-step explanation:
Answer: 0.86 of the exam scores are between 68 and 77.99 points
Step-by-step explanation:
Since the set of computer science exam scores are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = computer science exam scores .
µ = mean score
σ = standard deviation
From the information given,
µ = 71.33 points
σ = 3 points
We want to find the proportion of the exam scores are between 68 and 77.99 points. It is expressed as
P(68 ≤ x ≤ 77.99)
For x = 68,
z = (68 - 71.33)/3 = - 1.11
Looking at the normal distribution table, the probability corresponding to the z score is 0.13
For x = 68,
z = (77.99 - 71.33)/3 = 2.22
Looking at the normal distribution table, the probability corresponding to the z score is 0.99
P(68 ≤ x ≤ 77.99) = 0.99 - 0.13 = 0.86
Answer:
See below ~
Step-by-step explanation:
<u>Question 18</u>
- Diameter = Difference in y-coordinates
- Diameter = 12 - 2 = 10
- We know : Radius = Diameter/2
- Radius = 10/2
- Radius = 5 cm
- <u>(1) 5 cm</u>
<u></u>
<u>Question 19</u>
- 3x² - 34x - 24 = 0
- (3x + 2)(x - 12) = 0
- Solution set = {-2/3, 12}
- <u>(3) {-2/3, 12}</u>
