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levacccp [35]
3 years ago
13

a random sample size of 175 is drawn from a large population. The population standard deviation is 13.6. The sample mean is 87.3

. Estimate the size of the population mean, including the margin error.​

Mathematics
1 answer:
navik [9.2K]3 years ago
6 0

Answer:

The size of the population mean would be provided as:

mean +/- std/sqrt(sample size)

<=>

87.3 +/- 13.6/sqrt(175)

<=>

87.3 +/- 1.03

=> Option B is correct.

Hope this helps!

:)

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Root 3 cosec140° - sec140°=4<br>prove that<br><br>​
Lorico [155]

Answer:

Step-by-step explanation:

We are to show that \sqrt{3} cosec140^{0} - sec140^{0} = 4\\

<u>Proof:</u>

From trigonometry identity;

cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}

\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\

From trigonometry, 2sinAcosA = Sin2A

= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\=  \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\=  \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2  \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

\frac{4(sin(420-140)) }{sin280}

= \frac{4sin280}{sin280}\\ = 4 \ Proved!

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3 years ago
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The collect 19 boxes by the end of everyday.
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1. Ella took a biology test that was 54 questions. She got 5/6 of the questions correct. How many questions did she get wrong on
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2 years ago
A metal rod will be cut into pieces that are each 1/56 meters long. The rod is 7/8 meters long. How many pieces will be made fro
S_A_V [24]

The number of pieces made from rod is 49

<h3><u>Solution:</u></h3>

Given that A metal rod will be cut into pieces that are each 1/56 meters long

The rod is 7/8 meters long.

<em><u>To find: number of peices made from rod</u></em>

The number of peices made from rod can be calculated by dividing the total length of rod by length of each piece

\text {number of pieces made }=\frac{\text {total length of rod }}{\text { length of each piece}}

Here total length of rod = \frac{7}{8} meters

length of each piece to be made = \frac{1}{56} meters

Substituting the values in above formula, we get

\text {number of pieces made }=\frac{\frac{7}{8}}{\frac{1}{56}}=\frac{7}{8} \times \frac{56}{1}

\text {number of pieces made }=7 \times 7=49

So the number of pieces made from rod is 49

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What is the equivalent decimal for 27/32?
balandron [24]
Answer is
0.84375 :)
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