Answer:
It is an unusual result contradicting the national survey.
Step-by-step explanation:
National survey showed 44% of college students who drink.
The professor's survey showed that 96/244 = 39% drink.
The professor's survey deviated from the national survey is 5% (44% - 39%) representing about 0.25% (5% squared) variance.
Standard deviation is the spread of a set of numbers from their mean. In other words, it measures how far an observed value is from the mean. It can be calculated by getting the square root of the variance.
<h3>Given</h3>
Three numbers are n, 8n, and (100+n).
Their total is 690.
<h3>Find</h3>
the three numbers
<h3>Solution</h3>
n + 8n + (n+100) = 690
10n + 100 = 690 . . . . . . . simplify
10n = 590 . . . . . . . . . . . . subtract 100
n = 59
8n = 472
n +100 = 159
The three numbers are 59, 472, and 159.
ANSWER
The slant height is 40cm.
EXPLANATION
The lateral area of a cone is given by:
where r=10cm is the radius of the circle and l is the slant height.
It was also given that, the lateral area is 400π cm²
We substitute the values to get,
We now divide both sides by 10π.
This implies that,
Hence the slant height is 40cm.
Answer:
Perimeter of the smaller square = 9 ft
Perimeter of the larger square = 18 ft
Step-by-step explanation:
Let
Perimeter of the smaller square = x
The perimeter of the larger square is twice the perimeter of the smaller square.
Perimeter of the larger square = 2x
Total Length of the piece of wire = 27 ft
Total = smaller + larger
27 = x + 2x
27 = 3x
x = 27/3
x = 9 ft
Perimeter of the smaller square = x
= 9 ft
Perimeter of the larger square = 2x
= 2(9)
= 18 ft
Answer:
106
Step-by-step explanation:
174-68=106
