Answer: P(22 ≤ x ≤ 29) = 0.703
Step-by-step explanation:
Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = output of the machine in ounces per cup.
µ = mean output
σ = standard deviation
From the information given,
µ = 27
σ = 3
The probability of filling a cup between 22 and 29 ounces is expressed as
P(22 ≤ x ≤ 29)
For x = 22,
z = (22 - 27)/3 = - 1.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.047
For x = 29,
z = (29 - 27)/3 = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.75
Therefore,
P(22 ≤ x ≤ 29) = 0.75 - 0.047 = 0.703
Answer:
B. 120
Step-by-step explanation:
10% = 
No. of left-handed students = × 1,200
= 120
Number 10:
All angles in a triangle =180 degrees
so add the first to and subtract that by 180
166 degrees
180-166=14
so x=14 degrees
Answer:
188
Step-by-step explanation:
<u>Step 1: Distribute</u>
62 − 7(8 + 6 − 32)
62 + (-7 * 8) + (-7 * 6) + (-7 * -32)
62 + (-56) + (-42) + (224)
<u>Step 2: Combine the first two numbers</u>
(62 - 56) - 42 + 224
6 - 42 + 224
<u>Step 3: Combine the next two number</u>
(6 - 42) + 224
-36 + 224
<u>Step 4: Combine the last two number</u>
-36 + 224
188
Answer: 188
