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kumpel [21]
3 years ago
15

A sociologist recorded the estimated life expectancies of women born in Center City. Use the data from women born in 1970 and 20

00 to create a linear model that predicts the life expectancy, in years, (y) of a female born in a given year (x). . . Year Born Life Expectancy (years). 1960 66.1. 1970 67.6. 1980 70.1. 1990 71.9. 2000 74.0. 2010 75.9. . Which equation represents this linear model? a. y = 0.213x – 352.0 b. y = 0.213x – 358.4 c. y = 4.695x – 9181.6 d. y = 4.695x – 9322.4
Mathematics
2 answers:
ANEK [815]3 years ago
6 0
Y = 0.213x – 352.0 <span> represents this linear model shown in the data table.
Plug in the values of x into the equation for a double check.
Let's try 1980.

</span><span>y = 0.213(1980) – 352.0
</span>y = 69.74
which is closest to the 70.1 whereas other options do not satisfy the condition. 
USPshnik [31]3 years ago
4 0

A. y = 0.213x – 352.7

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What is the standard form of the equation of a circle whose diameter is 20 units and whose center is (−1,7)?
VARVARA [1.3K]

Answer:

(x + 1)^2 + (y - 7)^2 = 100

Step-by-sep explanation:

Given:

Diameter of circle = 20 units

Center of circle = (-1, 7)

Standard form of the equation of a circle is expressed in the center-radius form as:

(x - h)^2 + (y - k)^2 = r^2,

Where,

h = -1

k = 7

r = ½ of diameter = ½(20) = 10 units

Plug in the values into the equation

(x - h)^2 + (y - k)^2 = r^2

(x - (-1))^2 + (y - 7)^2 = 10^2

(x + 1)^2 + (y - 7)^2 = 100

4 0
3 years ago
This is a really hard question
Anastasy [175]

Answer:

  • D. 4x - 6

Step-by-step explanation:

  • f(x) = 4x - 2
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5 0
3 years ago
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A line passes through the points (7, 3) and (8, 3). What is its equation in slope-intercept form?
Sati [7]

Answer:

y=3

Step-by-step explanation:

The y values are the same, so there cannot be a slope. The (mx) part of y=mx+b is cancelled out, and is left with the b. Since the y value is forever three, the y-intercept will be 3 as well.

Therefore, the slope-intercept equation is

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3 0
3 years ago
What is the quadratic domain of y=x squared
statuscvo [17]

domain is the numbes you are allowed to use for x

what I usually do is just find the numbers that aren't allowed in the domain. such numbers are numbers that cause a division by 0 or a squaer root of a negative number

given y=x^2, there are no numbers that you can use for x that will cause a division by 0 or a square root of a negative number


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4 0
3 years ago
The main hall of Grand Central Station in New York City is approximately 210,000 square feet.
jeka57 [31]

Answer:

a)

52,500 persons

b)

Assuming that a single person occupies 4 square feet of space.

Use the following formula to calculate the Numbers o person occupies the Grand Central Station in New York City

Numbers of person occupies the Grand Central Station in New York City = Total Space of Grand Central Station in New York City / Space occupied by each person

Where

Total Space of Grand Central Station in New York City = 210,000 square feet

Space occupied by each person = 4 squaure feet

Placing values in the formula

Numbers of person occupies the Grand Central Station in New York City = 210,000 square feet / 4 square feet per person

Numbers of person occupies the Grand Central Station in New York City = 52,500 persons

c)

1.3125%

d)

Use the following formula to calculate the percentage of people that could be sheltered in the station

Percentage of people shelter in the station = ( Numbers of person occupies the Grand Central Station in New York City / Total population in Manhattan ) x 100

Where

Numbers of person occupies the Grand Central Station in New York City = 52,500 persons

Total population in Manhattan = 4,000,000 persons

Placing values in the formula

Percentage of people shelter in the station = ( 52,500 / 4,000,000 ) x 100 = 0.013125 = 1.3125%

8 0
3 years ago
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