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3 years ago

Which of the following weighs least?

1 answer:

8 0

The correct answer is Choice E: 1 milligram.

The prefix milli means "1/1000". That means a milligram is 1/1000th the size of a gram. All of the other weights in the list are larger.

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A car drives at a speed of 34 2/3 mph. How many miles will the car travel in:<br> 40 min?

Ierofanga [76]

40 minutes is not a full hour so you need to convert this to hours

40 minutes / 60 minutes = 2/3 of an hour

So a car driving at the rate of 34 2/3 mph will go

34 2/3 * 2/3 = Miles in 40 minutes

40 * (4/9) = ?or

160/9 = ? or

17 7/9 Miles

7 0

3 years ago

A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c

Anna [14]

Answer:

The interval from the sample of size 400 will be approximately <u>One -half as wide</u> as the interval from the sample of size 100

Step-by-step explanation:

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

Here assume that $Z_{\frac{\alpha }{2} } \ and \ \sigma \$ is constant so

$E = \frac{k}{\sqrt{n} }$

=> $E \sqrt{n} = K$

=> $E_1 \sqrt{n}_1 = E_2 \sqrt{n}_2$

So let $n_1 = 400$ and $n_2 = 100$

=> $E_1 \sqrt{400} = E_2 \sqrt{100}$

=> $E_1 = \frac{\sqrt{100} }{\sqrt{400} } E_2$

=> $E_1 = \frac{1}{2 } E_2$

So From this we see that the confidence interval for a sample size of 400 will be half that with a sample size of 100

7 0

2 years ago

Use a calculator to find the approximate value of sin-1 (0.549)

tatyana61 [14]

This is the concept of algebra, we are required to approximate the arcsin of the value given using a calculator;
sin theta=[opposite]/[hypotenuse]
arcsin is the inverse of sin, thus;
arcsin(0.549)=33.2984
the answer is 33.3984°

6 0

2 years ago

Read 2 more answers

Roberta needs 12 zippers to make 3 of the same backpacks. If Roberta has 48 zippers, how many of those same backpacks can she ma

yaroslaw [1]

First, you need to find out how many zippers are used to make one bookbag. To do that, you divide the zippers used to make the 3 backpacks.

12 / 3 = 4

So, 4 zippers are used per bookbag. Then, you divide the number of available zippers by four to find out how many bags she can make.

48 / 4 = 12

Roberta can make 12 bookbags.

5 0

3 years ago

7) 2.1x + 45.2 = 3.2 -8.4x

denis23 [38]

Answer:

x=-4

Step-by-step explanation:

brainliest please

3 0

2 years ago

Read 2 more answers