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3 years ago

8

Your field experience instructor wants to line up 8 cars for transportation. There are 27 cars available. How many different gro

ups of 8 cars are possible?

1 answer:

ValentinkaMS [17]3 years ago

6 0

Answer:

3

Step-by-step explanation:

8*3 is 24 and you cannot add another 8 after that

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Provide two examples that support the healthcare industry’s reliance on metrology for accuracy of instruments.

ElenaW [278]

Answer:

because they need to measure the dosages for the patients.

And because they need to know how to accurately measure the patients height, and weight so they know what dosage to give them.

Step-by-step explanation:

plz mark brainliest

3 0

3 years ago

Read 2 more answers

The primeter of a rectangle is 53 meters. The length is 2.3 meters longer than the width, w. Write and solve an equation to ind

lys-0071 [83]

The perimeter is the total of adding all of the sides together. A rectangle has 2 lengths and 2 widths. The equation would be:

P = 2l + 2w or P = l + l + w + w

Since you know the perimeter, you can plug it into the equation

53 = 2l + 2w

You can divide the 2 on both sides

26.5 = l + w

l = w + 2.3 because the length is 2.3 meters longer/more than the width. You can substitute (w + 2.3) for "l" in the equation. So instead of:

26.5 = l + w

It will be:

26.5 = (w + 2.3) + w

26.5 = w + 2.3 + w

Subtract 2.3 on both sides

24.3 = w + w

24.3 = 2w

Divide 2 on both sides

12.1 = w

The width is 12.1 meters

6 0

3 years ago

Find the 95% confidence interval for estimating the population mean μ

AVprozaik [17]

We first need to determine whether we are dealing with means or proportions in this problem. Since we are given the sample and population mean, we know that we are dealing with means.

Since we have one sample mean, this means we are creating a confidence interval for one sample (1 Samp T Int).

Normally we would check for conditions, but since this is not formulated as a "real-world scenario" type problem, it is hard to check for randomness and independence. Therefore, I will be excluding conditions from this answer.

<h3>Confidence Interval Formula</h3>

The formula for constructing a <u>confidence interval for means</u> is as follows:

$\displaystyle \overline{x} \pm t^*\big{(}\frac{\sigma}{\sqrt{n} } \big{)}$

We are given these variables:

$\overline{x}=50$
$n=60$
$\sigma=10$

Plug these values into the formula for the confidence interval:

$\displaystyle 50\pm t^* \big{(}\frac{10}{\sqrt{60} } \big{)}$

<h3>Finding the Critical Value (t*)</h3>

In order to find t*, we can use this formula:

$\displaystyle \frac{1-C}{2}=A$

Calculating the z-score associated with "A" will give us t*.

So, let's plug in the confidence interval 95% (.95) into the formula:

$\displaystyle \frac{1-.95}{2}=.025$

Use your calculator or a t-table to find the z-score associated with this area under the curve.. you should get:

$t^*=1.96$

<h3>Constructing Confidence Interval</h3>

Now, let's finish the confidence interval we created:

$\displaystyle 50\pm 1.96 \big{(}\frac{10}{\sqrt{60} } \big{)}$

We can calculate the confidence interval, using this formula, to be:

$\boxed{(47.4697, \ 52.5303)}$

<h3>Interpreting the Confidence Interval</h3>

We are 95% confident that the true population mean μ lies between <u>47.4697 and 52.5303</u>.

8 0

2 years ago

The average annual premium for automobile insurance in the United States is $1411. A representative sample of annual premiums fo

Harrizon [31]

Using confidence interval concepts, it is found that:

a) The point estimate is the sample mean.

b) The confidence interval is: $\overline{x} \pm T\frac{s}{n}$

c) If $1411 is between the bounds of the interval yes, otherwise no.

--------------

At item a, it asks to provide a point estimate for the population mean, which is the sample mean $\overline{x}$

--------------

Item b:

In the spreadsheet, it is possible to find the <em>standard deviation for the sample</em>, thus, the t-distribution is used.
The confidence interval will be given by:

$\overline{x} \pm T\frac{s}{n}$

In which:

$\overline{x}$ is the sample mean.
T is the critical value, from the t-distribution, with a two-tailed area of $\frac{1 - 0.95}{2} = 0.025$ and n-1 degrees of freedom.
s is the standard deviation for the sample.
n is the sample size.

--------------

Item c:

We have to check if 1411 is between $\overline{x} - T\frac{s}{n}$ and $\overline{x} +T\frac{s}{n}$ .

If it is, the interval includes the National Average, otherwise, it does not.

A similar problem is given at brainly.com/question/24232455

7 0

3 years ago

Write 7*10*10*10*10 with an exponent<br> 7*10*10*10*10=

MAVERICK [17]

7x10^4

Because there are 4 sets of 10

5 0

3 years ago

Read 2 more answers