Answer:
7.9 m
Step-by-step explanation:
Use the Pythagorean theorem: a²+b²=c²
This formula can be used to solve a side of any right (90°) triangle.
c² is the length of the hypotenuse (the diagonal side of the triangle, opposite to the 90° angle)
So, c = 32m.
Sides a and b are the legs of the triangle, but we only know one side. Plug numbers into the formula:
31² + b² = 32²
961 + b² = 1024 Subtract 961 from both sides to get b² by itself.
b² = 63
√b² = √63 Square root both sides to get b by itself.
b = 7.93725
Answer is 7.9 meters, rounded to tenths place
Answer:
c 89+42x+42y
Step-by-step explanation:
On day 1 :
First Machine= 89 stickers
Second Machine= none
On day 2 :
First Machine= ? stickers ( if in 1min = 42stickers
x min=?
( x min/1 min × 42stickers)
=42x stickers.
Second Machine=?stickers ( if in 1min = 42stickers
y min=?
( y min/1 min × 42stickers)
=42y stickers.
Total = 89 + 42x + 42y
Answer:
The mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.
Step-by-step explanation:
We know the population mean and standard deviation, that has a bell-shaped distribution:

The sampling distribution, the distribution of the mean of samples of size n out of this population, will have the same mean as the population mean.

The standard deviation will be related to the population standard deviation and the sample size as:

Then, the mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.
Answer: 30%
Step-by-step explanation:
First, we will put completed over the total.

Now, we will divide.
0.3
Lastly, we will multiply by 100 to turn it into a percent.
0.3 * 100 = 30%
You have ridden 30% of the course.
10,000 - (1/2 x 10,000) - (1/4 x 10,000) - (1/10 x 10,000) = 10,000 - 5,000 - 2,500 - 1,000 = 1,500
$1,500 is being spent on staffing for the party.