Answer:
the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05
Step-by-step explanation:
Given the data in the question;
μ_x = 10 pound bags
standard deviation s_x = 0.24 pounds
sample size n = 4
The bag weights are normally distributed so;
p( x' less than 9.8 ) will be;
p( (x'-μ_x' / s_x') < (9.8-μ_x' / s_x') )
we know that;
μ_x' = μ_x = 10
and s_x' = s_x/√n = 0.24/√4
so; we substitute
p( z < ( (9.8 - 10) / (0.24/√4) )
p( z < -0.2 / 0.12 )
p( z < -1.67 )
{ From z-table }
⇒ p( z < -1.67 ) = 0.0475 ≈ 0.05
Therefore, the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05
Because d actually collects data about what the people want.
Answer:
19.48 m
Step-by-step explanation:
The formula that is used to find arc length is:
arc length = 2πr 
In this question, r = 9m and the angle (θ) = 124°. Substitute the values into the formula.
arc length = 2 × π × 9 ×
= 2 × π × 9 × 0.3444
= 19.48 m
Answer:
equation: 320+x=360, answer: 40
Step-by-step explanation:
add 100,200 and 100 to get 320
360-320=40
x=40
Answer:
x = 4
Step-by-step explanation:
First you need to multiply both sides of the equation by -6/5
-6/5 × (-5/6x) = -6/5 × -10/3
Then you need to calculate and reduce. First, you'll reduce the numbers with the greatest common divisor, 6.
1/5 × 5x = -6/5 × (-10/3)
then reduce the greatest common divisor, 5
x = -6/5 × (-10/3)
Then multiply (multiplying two negatives equals a positive)
x = 6/5 × 10/3
reduce the greatest common divisor, 3
x = 2/5 × 10
reduce the greatest common divisor, 6
x = 2 × 2
x = 4
(i know this is confusing, sorry)
