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hodyreva [135]
3 years ago
8

F(x)=4x^2-7x+7 Find f(7)

Mathematics
1 answer:
harkovskaia [24]3 years ago
8 0

Answer:

154

Step-by-step explanation:

Because since it says find f(7) you plug the 7 into the x's so it would be...

4(7)^2-7(7)+7= 154

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If the sum of the first and third consecutive integer is 44, what are these three integers?
emmasim [6.3K]
Hello There!

x + x + 2 = 44
2x + 2 = 44
- 2          - 2
2x = 42
x = 21.

Numbers are 21, 22 and 23.

Hope This Helps You!
Good Luck :)
4 0
2 years ago
Factor completely 8y^3 + 16y^2
Vlad1618 [11]

Answer:

8y^2 (y+2)

Step-by-step explanation:

8y^3 + 16y^2

both terms contain an 8 and a y^2 so we can factor them out

8y^2 (y+2)

3 0
3 years ago
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What is the sum of the interior
frutty [35]
N is the amount of sides
sum=13 times 180 =2340
7 0
2 years ago
Find the value of this expression if x = 5 and y = -1
geniusboy [140]

Answer:

5/6

Step-by-step explanation:

8 0
2 years ago
Sunspots have been observed for many centuries. Records of sunspots from ancient Persian and Chinese astronomers go back thousan
Lunna [17]

Answer:

(a) Null Hypothesis, H_0 : \mu \leq 41  

    Alternate Hypothesis, H_A : \mu > 41

(b) The value of z test statistics is 1.08.

(c) We conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Step-by-step explanation:

We are given that in a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35.

It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41.

Let \mu = <u><em>mean sunspot activity during the Spanish colonial period.</em></u>

(a) Null Hypothesis, H_0 : \mu \leq 41     {means that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41}

Alternate Hypothesis, H_A : \mu > 41     {means that the mean sunspot activity during the Spanish colonial period was higher than 41}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                            T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean = 47

            σ = population standard deviation = 35

            n = sample of periods from Spanish colonial times = 40

So, <em><u>the test statistics</u></em>  =  \frac{47-41}{\frac{35}{\sqrt{40} } }

                                      =  1.08

(b) The value of z test statistics is 1.08.

(c) <u>Now, the P-value of the test statistics is given by;</u>

                P-value = P(Z > 1.08) = 1 - P(Z < 1.08)

                              = 1 - 0.8599 = <u>0.1401</u>

Since, the P-value of the test statistics is higher than the level of significance as 0.1401 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

8 0
3 years ago
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