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3 years ago

If f(x)=2x−3 and g(x)=4x+5, what is (f⋅g)(x)?

Mathematics

1 answer:

emmasim [6.3K]3 years ago

4 0

Answer: = 2 x ^4

Step-by-step explanation: I hope it helps :)

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A Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer; a sample

8090 [49]

Answer:

Step-by-step explanation:

Step(i):-

Given first random sample size n₁ = 500

Given Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

First sample proportion

$p^{-} _{1} = \frac{65}{500} = 0.13$

Given second sample size n₂ = 700

Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.

second sample proportion

$p^{-} _{2} = \frac{133}{700} = 0.19$

Level of significance = α = 0.05

critical value = 1.96

Step(ii):-

Null hypothesis : H₀: There is no significance difference between these proportions

Alternative Hypothesis :H₁: There is significance difference between these proportions

Test statistic

$Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

where

$P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2} }{n_{1}+ n_{2} } = \frac{500 X 0.13+700 X0.19 }{500 + 700 } = 0.165$

Q = 1 - P = 1 - 0.165 = 0.835

$Z = \frac{0.13-0.19 }{\sqrt{0.165 X0.835(\frac{1}{500 } +\frac{1}{700 } )} }$

Z = -2.76

|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

Alternative hypothesis is accepted at 0.05 level of significance

Conclusion:-

There is there is a difference between these proportions at α = 0.05

3 0

3 years ago

If male and female college students have the same mean GPA but the standard deviation for females is much larger, you may conclu

Elena L [17]

Answer:

D. there is more variability among female students with respect to GPA

Step-by-step explanation:

The standard deviation is a measure of how spread out from the mean the values within a set are. If the standard deviation for females is much higher, that means that the variability in GPAs for female students is higher than that of male students.

Therefore, it is fair to conclude that there is more variability among female students with respect to GPA.

4 0

3 years ago

What is the domain and range of f(x)=log(x+6)-4

jarptica [38.1K]

Log of 0 or <0 does not exist

so x + 6 must be > 0

so the domain is (-6, +infinity)

or x > -6

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3 years ago

A circle has a radius of 6 in.

DanielleElmas [232]

The answer is 1.5 in.

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F (x) = 1/z+7 what is the domain i need help fast

Nady [450]

X is a element of all real numbers but there is a vertical asymptote at x=o. Mathematically: XeR, x≠0

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3 years ago