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3 years ago

Hey can you please help me posted picture of question:)

Mathematics

1 answer:

castortr0y [4]3 years ago

3 0

The given trinomial can be factored using the factorization method.

x² -12x + 35
= x² -7x -5x + 35
= x(x-7) - 5(x-7)
= (x-7)(x-5)

Thus, (x-7)(x-5) is the factored form of the polynomial.

So the correct answer is option B

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What is 6x6x6x6x6 in exponential form

REY [17]

$\underbrace{6\cdot6\cdot6\cdot6\cdot6}_{5}=6^5$

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3 years ago

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Please please answer this correctly

IRINA_888 [86]

Answer:

d= 71518 kilometers

Explanation:

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If we substitute the formula, we have

d=2(35795)

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3 years ago

What is 18.890 rounded to the nearest hundred

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2 years ago

Help pizzzz The wheel of a bike has a diameter of 26 inches. What is the circumference of the wheel?

larisa [96]

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3 years ago

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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 $\mu$ = mean sunspot activity during the Spanish colonial period.

(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 One-sample z test statistics 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, the test statistics = $\frac{47-41}{\frac{35}{\sqrt{40} } }$

= 1.08

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

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

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

= 1 - 0.8599 = 0.1401

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 we fail to reject our null hypothesis.

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