Answer:
P(-1 < z < 1) = 0.3174
Step-by-step explanation:
Mean (μ) = 1.62 ounces
Standard Deviation (σ) = 0.05
No of balls (sample size n) = 100
X = weight of a ball
Weight of a group of 100 balls must lie in the range 162 ± 0.5 ounces i.e. weight of a single ball will be 162/100 ± 0.5/100 ounces = 1.62 ± 0.005 ounces.
So, we need to find the probability P (1.615 < X < 1.625). We will use the central limit theorem.
z = (Χ' - μ)/(σ/)
P (1.615 < X < 1.625) = ( < (Χ - μ)/(σ/) < )
= (-1 < z < 1)
We need to find the probability of P (-1 < z < 1) by looking at the Normal Distribution Probability Table.
In order to make our working simpler, we need to break P (-1 < z < 1) into two parts: P(z < 1) and P(z > -1)
The probability for areas under the normal curve are given for P(z>X) so we can directly find the probability of P (z > -1) by referring to the normal probability table.
P(z > -1) = 0.1587
We can calculate P(z < 1) by subtracting P(z >1) from the total probability (i.e. 1). P(z >1) can be obtained from the normal probability table.
P(z < 1) = 1 - 0.8413 = 0.1587
By adding the two probabilities together, we get:
P(-1 < z < 1) = P(z < 1) + P (z > -1)
= 0.1587 + 0.1587
P(-1 < z < 1) = 0.3174
Answer: 3
Step-by-step explanation: its right
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = = = - 1
5. 53.96 - 19.99 = 33.97
33.97 / 53.96 = 0.629 = 63%
6. a 62% discount means she would pay 38% of the original price
2.15 * 0.38 = 0.82 . the 0.82 is not the discount, but the amount she would actually pay.
to check: the discount is 62% 2.15 x 0.62 = 1.33
2.15 - 1.33 = 0.82
Note absolutely sure on part 7
7. A) the number of votes per vertical line is missing.
B) darken the vertical lines and total the number of colored squares there are then divide the number the winner got by total so 6/16 = 0.375 = 37.5% MAY NEED TO ROUND TO 38%
C) amber got 2/16 squares = 0.125. 420 * 0.125 = 52.5 = 53 votes
The equation will be A(x) = 5 + 2x and the independent variable will be the number of coffee cups that are purchased.
<h3>How to calculate the equation</h3>
Since the program costs $5 per month which allows her to get a discounted coffee price of $2.5 per cup.
The independent variable x, represents the number of coffee cups purchased. The dependent variable is the total monthly cost.
The function is A(x) = 5 + 2x. The cost for 10 cups will be:
= 5 + 2x
= 5 + 2(10)
= 5 + 20
= 25
Learn more about equations on:
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