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Andrew [12]
2 years ago
9

The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81. what is the approximat

e length of the radius of the circle. a 5.19 b 3.51 c 11.03 d 10.38
Mathematics
1 answer:
Molodets [167]2 years ago
8 0

Answer: A

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
A triangle has sides xcm, (x + 4) cm and 11cm, where x is a whole number of cm. if the perimeter of the triangle is less than 32
NARA [144]

9514 1404 393

Answer:

  {4, 5, 6, 7, 8}

Step-by-step explanation:

The inequality related to the perimeter is ...

  x +(x +4) +11 < 32

  2x < 17 . . . . . . . . . . . . subtract 15

  x < 8.5

The inequality related to the triangle inequality is ...

  (x) +(x +4) > 11

  2x > 7

  x > 3.5

Then possible whole-number values of x are ...

  {4, 5, 6, 7, 8}

6 0
3 years ago
Read 2 more answers
Solve the system using a matrix. NEED HELP ASAP!!:):)
icang [17]

1,-4 sorry if wrong :(

7 0
2 years ago
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What is the domain and range of each function graohed below?
andriy [413]
Domain is the x values you can use
range is the y values



a.
the domain
hmm, seems to be all real numbers except for at x=0, it gets really close tho
so D=(-∞,0)U(0,∞)

range is all real numbers except for y=0, it gets really close tho
R=(-∞,0)U(0,∞)



b.
domain
that empty circle means something like < or >
goes from 5 to 6, not including 5
so domain is D=(5,6]

range is from -4 to 2, not including -4
range is R=(-4,2]
5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP , MARKING BRAINLIEST XOXO
dybincka [34]

Answer:

A. 13

B. 11

Step-by-step explanation:

4 0
3 years ago
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