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
You would use unit rate for this. If Austin makes $209 in 11 hours, then he makes 209/11 = 19 dollars in 1 hour.
Then, we can make a proportion:
$19/1 hour = $152/ x hours
Cross multiply:
152 = 19x
Solve for x to get:
x = 8 hours.
Answer:
13 1/2
Step-by-step explanation:
Just multiply 3.5 and 4.75
AKA
3 1/2 and 4 3/4
Change 1/2 into 2/4 so the denominators are the same
Multiply the numerators 2 and 3, you now have 6/4
3 × 4 = 12
6/4 is improper so, you need to simplify
now you have 1 1/2
Now 12 + 1 1/2 = 13 1/12
cups of cheese is needed to make 10 pizzas.
<u><em>Explanation</em></u>
For making one pizza, amount of cheese needed = 
cups = 
cups.
Now for finding the total amount of cheese needed to make 10 pizzas, we need to <em>multiply cups by 10. </em>
So, 
Thus, cups of cheese is needed to make 10 pizzas.
