Answer:
Question 2. 12% of 650 = 78
Step-by-step explanation:
100% = 1 in decimal form.
This is because finding 100% of something is the same as multiplying it by 1:
E.g. 100% of 10=10, 10x1 = 10
Therefore to find a percentage of something, we simply need to multiply it by the decimal form of that percentage. For example, if we were finding 50% of 10 (half), 50% in decimal form is 0.5, 10x0.5 = 5
The percentage here is 12%, we can find the decimal form by dividing it by 100, 12/100 = 0.12
So, in order to find 12% of 650, we just need to multiply 650 by 0.12:
650x0.12 = 78
12% of 650 = 78
Hope this helped!
Answer:
4. A post-lunch nap decreases the amount of time it takes males to sprint 20 meters.
Step-by-step explanation:
This question wants us to state the claim and the hypothesis.
This researchers claim can be found in the first sentence of this question.
Claim: post lunch nap decreases the time it takes to run for 20 meters.
The correct answer option for the claim is the 4th answer option. And it means that sleeping after lunch reduces the time it takes males to run in a 20m race.
B. Hypothesis
H0: Ud <= 0
H1: Ud > 0
d = is the race time without a nap - race time with a nap
Let x=large boxes and y=small boxes.
x+y=110
60x+35y=5100
____________
You need to cancel out one of the variables to solve for one. Let's cancel out y.
-35(x+y=110)
-35x-35y=-3850
60x+35y=5100
____________
Add the two equations.
25x=1250
x=50
_____________
Plug in 50 for x into one of the equations to solve for y.
50+y=110
y=60
_____________
50 large boxes
60 small boxes
Answer:
Hourly Rate = $12.22 per hour
Step-by-step explanation:

Overhead Rate = 95%
Retail price of parts = $134.75
Total cost of job = $241.98
Cost of labor = Total cost - Retail price
= 241.98 - 134.75
= $107.23
Now, labor works for 4.5 hours and ears a total amount of $107.23

Now, Labor will get 95% overhead rate
⇒ The labor is getting 100% already but an overhead of 95% is also given

P(x > 35) = 1 - P(x < 35) = 1 - P[z < (35 - 29.60)/10.50] = 1 - P(z < 0.5143) = 1 - 0.6965 = 0.3035
Therefore, answer is 0.30 to the hundredths place.