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nata0808 [166]
2 years ago
9

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? y = 0. 213x – 352. 7 y = 0. 213x – 358. 4 y = 4. 695x – 9181. 6 y = 4. 695x – 9322. 4.
Mathematics
1 answer:
Veronika [31]2 years ago
3 0

Y=0.213x-352  will represent this linear model shown in the data table.

<h3>What will be the linear model for the given data?</h3>

Put the values of the x in the all given equations and then check the value of y if the value of y matches the given values in the option

So if we put the value x=1980 in the Y=0.213x-352  then

Y=0.213(1980)-352

Y=69.74

These values are closest to 70.1 whereas other options do not satisfy the condition.

Thus Y=0.213x-352  will represent this linear model shown in the data table.

To know more about Statistics follow

brainly.com/question/21508412

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3,199,920,000 / 4,999,900,000

0.6399996799935999

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7 0
3 years ago
When the sun's angle of elevation is 76°, a tree casts an 18-foot shadow on the ground. Find the length of the tree to the neare
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Answer:

<u>56.5 ft</u>

Step-by-step explanation:

See the attached figure which represents the explanation of the problem.

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From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft

At ΔABD:

∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°

∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°

Apply the sine rule at ΔABD

∴\frac{AB}{SinD} =\frac{AD}{sinB}

∴ 18/sin 18 = AD/sin 76

∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)

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2 years ago
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