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
If 2 lines are congruent alternate interior angles are congruent
Answer:
512
Step-by-step explanation:
Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7
.
For instance, if I divide the set into parts {1,2,4}
and {3,5}, the first part adds up to 7, and its complement adds up to 8
.
Once one makes that observation, the rest of the proof is straightforward. There are 25=32
different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.
Let's say that y is the weight of the mother and x is the weight of the baby.
We know that the baby is 7437 pounds less than the mother, which means you need to add 7437 pounds to the baby's weight to get the mother's.
We can show it like this:
x+7437=y.
We know what the baby's weight is (1400 lbs), so just sub it in:
1400+7437=y
y=8837 lbs
The mom weighs 8837 pounds.
Assume sarah's weight is m.
first, she lost 12 pounds,
this means that her weight became: m - 12 pounds
then, she gained 4 3/8 pounds, therefore, her current weight is: m-12+4 3/8 pounds
the total change in her weight is:
-12+4 3/8 = -7.625 pounds
the negative sign refers to the loss.
this means that the overall change is losing 7.625 pounds
