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nadya68 [22]
3 years ago
15

Let f(x) = 4x - 7 and g(x) = 2x - 3. Find (f o g)(4) 9 15 5 13

Mathematics
2 answers:
Elina [12.6K]3 years ago
8 0
F(g(4))
f(2(4)-3)
f(8-3)
f(5)
4(5)-7
13
kobusy [5.1K]3 years ago
5 0
(fog)(x)=f(g(x))\Longrightarrow (fog)(x)=f(2x-3)\iff\\\\ (fog)(x)=4(2x-3)-7\iff (fo g)(x)=8x-19\\\\ \Longrightarrow (fo g)(4)=16-19\iff\boxed{(fo g)(4)=-3}
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An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t
Fynjy0 [20]

Answer:

z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

Step-by-step explanation:

Information given

\bar X=31.1 represent the sample mean  

\sigma=1.3 represent the population standard deviation

n=140 sample size  

\mu_o =31.3 represent the value that we want to test  

\alpha=0.02 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:  

Null hypothesis:\mu =31.3  

Alternative hypothesis:\mu \neq 31.3  

Since we know the population deviation, the statistic is given by

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

Replacing we got:

z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

4 0
3 years ago
Combine the following fractions. <br><br> a. 3/5 + 4/15 <br><br><br> b. 5/6 - 1/4
Ne4ueva [31]

Hello there! :)

Answer:

1. \boxed{\frac{13}{15} }

2. \boxed{\frac{7}{12} }

Step-by-step explanation:

1. 3/5+4/15

First, you multiply by numerator and denominator.

3*3=9

5*3=15

=\frac{9}{15}

Then, you had to combine by the fractions.

\frac{9}{15}+\frac{4}{15}

Add by the numbers from left to right.

9+4=13

<u><em>13/15 is the final answer.</em></u>

______________________________________________

2. 5/6-1/4

First, you multiply by 2 both sides of numerator and denominator.

5*2=10

6*2=12

10/12

3/12

\frac{10}{12}-\frac{3}{12}

Subtract by the numerator.

10-3=7

<em><u>7/12 is the final answer.</u></em>

______________________________

Hope this helps!

Thanks!

Have a nice day! :)

:D

-Charlie

7 0
3 years ago
Graph The Solution set to the inequality - s/2 &gt; 9 A B C Or D
marishachu [46]
The first one

give mrainliest pls xo
8 0
3 years ago
Read 2 more answers
G varies inversely as the cube of h.
Arada [10]

Answer:

g = \frac{k}{h^3}

Step-by-step explanation:

Given that g varies inversely as h³ then the equation relating them is

g = \frac{k}{h^3} ← k is the constant of variation

5 0
3 years ago
What is the quotient and the remainder of 7 divided by 5839
eduard

Answer: 834.142857143

Step-by-step explanation: I did it on paper this is like 3rd grade math.

4 0
2 years ago
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