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Marysya12 [62]
1 year ago
14

The function f(x) = 2x 1 represents the altitude of a plane, where x is the time in minutes. the function g(x) = x2 − 10 represe

nts the time in minutes, where x is the height in thousands of feet of the plane. what is the value of f[g(10)]? 271 181 90 21
Mathematics
1 answer:
Lostsunrise [7]1 year ago
5 0

To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then $g(x) =x^2-10 exists g(10) = 90.

The value of g(10), we have to substitute in every x of f(x), the

f(x) = 2x + 1 exists f(90) = 181

Therefore, the value of f[g(10)] exists 181.

<h3>How to estimate the value of f[g(10)]?</h3>

To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then

$g(x) =x^2-10

substitute the value of x = 10

$g(10) = (10)^2-10

simplifying the equation, we get

g(10) = 100 - 10

g(10) = 90

We have the value of g(10), we have to substitute in every x of f(x), then

f(x) = 2x + 1

substitute the value of x = 90

f(90) = 2(90) + 1

simplifying the equation, we get

f(90) = 180 + 1

f(90) = 181

The value of f[g(10)] exists 181.

Therefore, the correct answer is option b) 181.

To learn more about functions refer to:

brainly.com/question/27063206

#SPJ4

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3 years ago
Identify thenull hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion abo
miv72 [106K]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let m and w be the subscript for men and women players. The population proportions would be pm and pw

Pm - Pw = difference in the proportion of male and female players.

The null hypothesis is

H0 : pm = pw

pm - pw = 0

The alternative hypothesis is

Ha : pm ≠ pw

pm - pw ≠ 0

it is a two-tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

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xm = 1027

nm = 2441

Pm = 1027/2441 = 0.42

For women,

xw = 509

nw = 1273

Pw = 509/1273 = 0.4

The pooled proportion, pc is

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1 - pc = 1 - 0.41 = 0.59

z = (Pm - Pw)/√pc(1 - pc)(1/nm + 1/nw)

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P value = 0.119 × 2 = 0.238

Since 0.05 < 0.238, we would accept the null hypothesis

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3 0
3 years ago
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