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Schach [20]
2 years ago
5

F(x)=2x-3;find f (0), and f(x-3)

Mathematics
1 answer:
serg [7]2 years ago
5 0

Answer:

f(x) = 2x – 3

f(0) = 2(0) – 3 = -3

f(1) = 2(1) – 3 = 2 – 3 = -1

(f(0) + f(1))/2 = (-3 - 1)/2 = -4/2 (f(0) + f(1))/2 = - 2

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Answer:

15

Step-by-step explanation:


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3 years ago
Find the area between the curve of y = x³ and the x-axis interval from x = 0 to x = 4.
dybincka [34]
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3 0
2 years ago
Someone claims that the average amount of time that a freshman at TAMU studies is 7 hours. We think it’s higher than that and de
Stels [109]

Answer:

Test statistic t = 5.25

P-value = 0.000002 (one-tailed test)

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.

Then, the null and alternative hypothesis are:

H_0: \mu=7\\\\H_a:\mu> 7

The significance level is 0.05.

The sample has a size n=49.

The sample mean is M=8.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√s^2=√4=2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{49}}=0.29

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{8.5-7}{0.29}=\dfrac{1.5}{0.29}=5.25

The degrees of freedom for this sample size are:

df=n-1=49-1=48

This test is a right-tailed test, with 48 degrees of freedom and t=5.25, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>5.25)=0.000002

As the P-value (0.000002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.

6 0
3 years ago
Nine times a number is three thousand six hundred what is the number?
Inga [223]
The way this should be set up is: 

9a = 3600... 

So you must divide '9' on both sides, canceling out the '9', and making the 3600 to be '400'.. 

So the problem should look like: a = 400 <--- (Answer) 

Hope it helped.. :) 

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4 0
3 years ago
Read 2 more answers
Which statement is true about f(x)+2=1/6 |x-3|
ohaa [14]

Answer:

The range of f(x) is f(x) > -2 and option D is correct.

Step-by-step explanation:

HOPE THIS IS THE ANSWER YOU WERE LOOKING FOR

4 0
3 years ago
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