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3 years ago

Verify that MQ:QN = 2:3 by finding the lengths of MQ and QN

Mathematics

1 answer:

Mrac [35]3 years ago

4 0

Answer:

Step-by-step explanation:

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"a pollster wishes to estimate the number of left-handed scientists. how large of a sample is needed in order to be 98% confiden

nadezda [96]

The sample size should be 250.

Our margin of error is 4%, or 0.04. We use the formula

$\text{ME}=z\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide both sides by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value has a z-score of approximately 2.33. Using this, our margin of error and our proportion, we have:

$0.04=2.33\sqrt{\frac{0.08(1-0.08)}{n}}
\\
\\0.04=2.33\sqrt{\frac{0.08(0.92)}{n}}$

Divide both sides by 2.33:
$\frac{0.04}{2.33}=\sqrt{\frac{0.08(0.92)}{n}}$

Square both sides:
$(\frac{0.04}{2.33})^2=\frac{0.08(0.92)}{n}$

Multiply both sides by n:
$(\frac{0.04}{2.33})^2n=0.08(0.92)$

Divide both sides to isolate n:
$\frac{0.08(0.92)}{(\frac{0.04}{2.33})^2}=n
\\
\\249.73=n
\\n\approx 250$

4 0

3 years ago

Two spinners have been spun 100 times. Using the experimental probabilities below, what is the best guess for the number of time

Agata [3.3K]

It could be any time, but I would say 10. 10*10=100

hope it helps!

3 0

3 years ago

Click on the least amount of rainfall.

Andreas93 [3]

The least amount is the smallest amount, 1/8.

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2 years ago

What is the product?<br><br> (5.63 x 10^5) x 5,600,000

victus00 [196]

Answer: $3.1528 \times 10^{12}.$

Step-by-step explanation: Given expression $(5.63 \times 10^5) \times 5,600,000$ .

In order to find the product of given expression, we need to convert 5,600,000 into scientific notation, because other number is also in scientific notation.

5,600,000 = 5.6 × 10^6.

Therefore, $(5.63 \times 10^5) \times 5,600,000 =(5.63 \times 10^5) \times (5.6 \times 10^6)$ .

Now, multiplying 5.63 × 5.6 first, we get 31.528.

And 10^5 × 10^6 = 10^11.

Therefore,

$(5.63 \times 10^5) \times (5.6 \times 10^6) = 31.528 \times 10^11$ .

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3 years ago

A hat contains four balls. The balls are numbered 3, 6, 6, and 7. One ball is randomly selected and not replaced, and then a sec

svp [43]

Answer:

Step-by-step explanation:

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3 years ago