Answer:
x ≈ 10.7 ft.
Step-by-step explanation:
Given triangle in the picture is a right triangle.
By applying Pythagoras Theorem in this triangle.
(Hypotenuse)² = (Leg 1)² + (Leg2)²
(14)² = x² + 9²
x² = (14)² - 9²


x = 10.72
x ≈ 10.7 ft.
Answer:
B
Step-by-step explanation:
52.78×6.5%=3.43
52.78×18%=9.50
52.78+3.43+9.50=65.71
Answer:
The predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.
Step-by-step explanation:
The least square regression line is used to predict the value of the dependent variable from an independent variable.
The general form of a least square regression line is:

Here,
<em>y</em> = dependent variable
<em>x</em> = independent variable
<em>α</em> = intercept
<em>β</em> = slope
The regression line to predict the life expectancy of men in a country from the life expectancy of women in that country is:

Compute the life expectancy of men in a country in which the life expectancy of women is 70 years as follows:


Thus, the predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.
Answer:
solution:-We know that for any two finite sets A and B, n(A∪B)=n(A)+n(B)−n(A∩B).
Here, it is given that n(A)=20,n(B)=30 and n(A∪B)=40, therefore,
n(A∪B)=n(A)+n(B)−n(A∩B)
⇒40=20+30−n(A∩B)
⇒40=50−n(A∩B)
⇒n(A∩B)=50−40
⇒n(A∩B)=10
Hence, n(A∩B)=10
Step-by-step explanation:
hope it helps you friend ☺️
First seat: 14 candidates to seat
Second seat: 13 candidates to seat
Third seat : 12 candidates
4th seat: 11 candidates
5th seat: 10 candidates
6th seat: 9 candidates
Number of different variations: 14*13*12*11*10*9 = 2,162,160 different ways,
Observe that is 14P6 = 14! / (14-6)! = 14! / 8! = 14*13*12*11*10*9*8! / 8! =
= 14*13*12*11*10*9
Answer: 2,162,160