Answer:
0.61196
Step-by-step explanation:
When we are given a random number of samples , we solve using the z score formula
z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean = 34.6
σ is the population standard deviation = 13.6
n is the random number of samples = 37
For x = 32
z = 32 - 34.6/13.6/√37
z = -1.16288
Probability value from Z-Table:
P(x = 32) = 0.12244
For x = 36
z = 36 - 34.6/13.6/√37
z = 0.62617
Probability value from Z-Table:
P(x = 36) = 0.7344
The probability their mean hours worked per week is between 32 and 36 hours per week is calculated as:
P(x = 36) - P(x = 32)
= 0.7344 - 0.12244
= 0.61196
The answer should be Twenty one
Answer:
1 slat every 2 minutes.
Step-by-step explanation:
James is able to paint 2 slats every 5 minutes.
James and Gabe together are able to paint the whole fence (180 slats) in 3 hours and 20 minutes (200 minutes)
The rate of 180 slats in 200 minutes is equal to 18 slats in 20 minutes, and is equal to 9 slats in 10 minutes.
The rate of James is 2 slats in 5 minutes, which is equal to 4 slats in 10 minutes.
Subtracting the rate of James and Gabe together (9 slats in 10 minutes) by the rate of James alone (4 slats in 10 minutes), we have the rate of Gabe, which is 5 slats in 10 minutes, or 1 slat in 2 minutes.
Answer:
x=2.4
Step-by-step explanation
Lets take the info already given. 20 is on the larger triangle and 8 is on the smaller. So the side that matches with X is 6. The relationship between 20 and 8 is 2.5. How? 20/8=2.5. then you divide 6 by 2.5. That equals 2.4. So x=2.4. Hope that helps !
