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scoray [572]
3 years ago
5

Find a mathematical model that represents the statement. F varies directly with s and inversely as the square root of d. f=6 whe

n s=2 and d=9
Mathematics
1 answer:
gladu [14]3 years ago
7 0

Answer:

Use the equation found in step 3 and the remaining information given in the problem to answer the question asked. In this case, you need to find x when y = 44 and z = 6. Example 2 – If f varies directly as g and inversely as the square of h, and f = 20 when g = 50 and h = 5, find f when g = 18 and h = 6.

Step-by-step explanation:

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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
Find any 3 (x,y) pairs that are solutions for the equation 2x-5y=10 . Show your work
Alla [95]

Answer:

(0,-2), (5,0) and (10,2).

Step-by-step explanation:

Given equation is 2x-5y=10.

Now we need to find 3 pairs of solutions in (x,y) form for the given equation.

As 2x-5y=10 is a linear equation so we are free to pick any number for x like x=0, 5, 10

Plug x=0 into 2x-5y=10, we get:

2(0)-5y=10

0-5y=10

-5y=10

y=\frac{10}{-5}

y=-2

Hence first solution is (0,-2)

We can repeat same process with x=5 and 10 to get the other solutions.

Hence final answer is (0,-2), (5,0) and (10,2).

5 0
3 years ago
Read 2 more answers
Please someone help me<br><br> Only the ODD questions please.
Klio2033 [76]
I hope you can read this, and I hope you understand how I did 7. I probably overworked it, and it was possibly a simpler way to get it.

7 0
3 years ago
Determine the x- and y-
rjkz [21]
Answer and working out attached, hope this helps

3 0
2 years ago
The circumference of a circle is C centimeters. The diameter of the circle is 19 centimeters. Which expression best represents t
sp2606 [1]

Answer:

Step-by-step explanation:

C = 19π

π = C/19

5 0
3 years ago
Read 2 more answers
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