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Nitella [24]
2 years ago
11

5. what is the theoretical probability that a coin toss results in one head and one tail showing?

Mathematics
1 answer:
Alenkasestr [34]2 years ago
4 0
There are two sides (heads and tails). So one head would be 1/2, and one tail would also be 1/2.
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The accompanying summary data on total cholesterol level (mmol/l) was obtained from a sample of Asian postmenopausal women who w
dimulka [17.4K]

Answer:

99% CI:

-4.637\leq\mu_v-\mu_o\leq 3.737

Step-by-step explanation:

We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.

First, we have to estimate the standard deviation

s_{Md}=\sqrt{\frac{2MSE}{n_h}}

The MSE can be calculated as

MSE=\frac{(SSE_1+SSE_2)}{df} =\frac{(n_1s_1)^2+(n_2*s_2)^2}{n_1+n_2-2}\\\\MSE=\frac{(85*1.05)^2+(96*1.20)^2}{85+96-2}=\frac{7965.56+13272.04}{179} =118.65

The weighted sample size nh can be calculated as

n_h=\frac{2}{1/n_1+1/n_2}=\frac{2}{1/85+1/96}=\frac{2}{0.0222} =90.16

The standard deviation then becomes

s_{Md}=\sqrt{\frac{2MSE}{n_h}}=\sqrt{\frac{2*118.65}{90.16}}=\sqrt{2.632} =1.623

The z-value for a 99% confidence interval is z=2.58.

The difference between means is

\Delta M=M_v-M_o=5.10-5.55=-0.45

Then the confidence interval can be constructed as

\Delta M-z*s_{Md}\leq\mu_v-\mu_o\leq \Delta M+z*s_{Md}\\\\ -0.45-2.58*1.623\leq\mu_v-\mu_o\leq -0.450+2.58*1.623\\\\-0.450-4.187\leq\mu_v-\mu_o\leq-0.450+4.187\\\\-4.637\leq\mu_v-\mu_o\leq 3.737

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=f%28n%29%3D3%5En" id="TexFormula1" title="f(n)=3^n" alt="f(n)=3^n" align="absmiddle" class="la
andrezito [222]

Answer:

24(f(n))

Step-by-step explanation:

f(n+3) = 3^{n+3}\\f(n+1) = 3^{n+1}

so

f(n+3) - f(n+1) = 3^{n+3} - 3^{n+1}

= 27(3^n) - 3(3^n)

= 24(3^n)

= 24(f(n))

hope this helped! :)

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1 year ago
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\bf {{ a}}\%\ of\ b \implies  \cfrac{{{ a}}}{100}\cdot b\implies {{ a}}\div 100\cdot b\\\\&#10;-----------------------------\\\\&#10;thus&#10;\\\\&#10;{{ 12}}\%\ of\ 205,000 \implies  \cfrac{{{12}}}{100}\cdot 205,000\implies {{ 12}}\div 100\cdot 205,000
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Please answer ASAP Show work 5b=k-b
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Answer:

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1 KB = 1,024 B

1 B = 0.000977 KB

Step-by-step explanation:

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