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3 years ago

If f(x) = x2 and g(x) =1/ 2x+3, find g(f(-1)).

Mathematics

1 answer:

Dvinal [7]3 years ago

5 0

-1=1/2x+3
2=1/2x
(2)2=1/2x(2)
4=x
Answer: x=4

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Solve for x in the equation x^2+14x+17=-96

nordsb [41]

Answer: x = -7 ± 8i

Step-by-step explanation: Solve the euqation for x by finding a, b, and c of the quadratic then applying the quadratic formula

Hope this helps! :) ~Zane

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3 years ago

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A rectangular prism has side lengths of 4 inches, 6 inches, and 7 inches. If all side lengths are multiplied by 5, what happens

alexandr402 [8]

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3 years ago

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denis-greek [22]

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Step-by-step explanation:

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3 years ago

A car has a full tank with 13 and 1/2 gallon of gas .Over the course of two days the amount of gas decreased by 6.25 write and e

aleksklad [387]

Answer: 7.25 gallons

Step-by-step explanation:

Convert 13¹/₂ to a whole number with a decimal:

= 1/2 = 0.5

= 13.5 gallons of gas

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= Starting amount - Amount reduced by

= 13.5 - 6.25

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6 0

3 years ago

Consider the following hypothesis test: H0: LaTeX: \mu_1-\mu_2=0μ 1 − μ 2 = 0 Ha: LaTeX: \mu_1-\mu_2\ne0μ 1 − μ 2 ≠ 0 The follow

Pavel [41]

Answer:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

Step-by-step explanation:

Data given and notation

$\bar X_{1}=104$ represent the mean for the sample 1

$\bar X_{2}=106$ represent the mean for the sample 2

$\sigma_{1} =8.4$ represent the population standard deviation for the sample 1

$\sigma_{2}=7.6$ represent the population standard deviation for the sample 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:

H0: $\mu_{1}-\mu_{2} =0$

H1: $\mu_{1} -\mu_{2} \neq 0$

If we analyze the size for the samples both are greater than 30 and we know the population deviations so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

First we need to calculate the mean and deviation for each sample, after apply the formulas (2) and (3) we got the following results:

And with this we can replace in formula (1) like this:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

7 0

2 years ago