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3 years ago

A coin is tossed 14 times. in how many outcomes do exactly 6 heads occur?

1 answer:

8 0

Set the numbers as a fraction, with 6 as the numerator and 14 as the denominator. It should look like this: 6/14. Simplify your fraction by dividing the numerator and denominator by 2. Your result will be 3/7.

Answer: 3/7 or 6/14 depending if they as you to simplify. If it is in ratio form, it will be the same numbers (3:7 or 6:14). It could also be in word form (three to seven, or six to fourteen).

Hope this helps! :)

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Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn's

morpeh [17]

The percent error is -2.1352% of Jocelyn's estimate. May I have Brainless

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3 years ago

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Jason is putting in a new circular shaped fire pit in his backyard.The diameter of the fire pit is 8 feet. What is the area of t

lesya [120]

Pi * r^2 = 16pi
Thank you hope this helps

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3 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 $\mu$ = 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.

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3 years ago

(0, -4), (-4, 6) what the equation y=mx+b

valentinak56 [21]

Y=(2/5)x-4
Or
Y=0.4x-4

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2 years ago

The drama club at Central sells hot chocolate and coffee at the high school football games. At the last game, they had sales of

xxTIMURxx [149]

Answer:

I could be wrong but the coffee is 200 and the hot choclet is 266.666666667

Step-by-step explanation:

I used math and a calculator.

3 0

2 years ago