Answer:
x=66°
Step-by-step explanation:
We know that the total angle measure in a triangle is always 180°, so first we need to find the angle value of BAC. They give us a straight line aligning with this angle and measure of 98° for the angle DAB (which is forming other part of line) and a line is 180° so we subtract and find that angle BAC is 82°.
Now that we know the angle measure of 2 angles in the triangle, we add them up and get 114°. Now we subtract this from 180° and get 66°, which is the measure of x.
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:
306
Step-by-step explanation:
Answer:
Multiplication equation 6 t = 54 6t = 54 6t=54 Multiply each side by five.
