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3 years ago

Please help !! Will mark brainliest answer

Mathematics

1 answer:

Norma-Jean [14]3 years ago

3 0

Answer:

x = 12

Step-by-step explanation:

18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.

Using this 3:4 scale factor we can find the missing side x.

Solving for x :

$\frac{3}{4}$ × 16 = 12

x = 12

OR: Set up a proportion:

$\frac{24}{16}$ × $\frac{18}{x}$

<em>cross-multiply</em>

16 × 18 = 288

24 × x = 24x

288 = 24x

x = 12

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A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o

Ronch [10]

Answer:

$2.002 \leq \sigma^2 \leq 11.365$

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

$s^2$ represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}
The sample variance given was [tex]s^2=3.45$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=9-1=8$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.05,8)" "=CHISQ.INV(0.95,8)". so for this case the critical values are:

$\chi^2_{\alpha/2}=15.507$

$\chi^2_{1- \alpha/2}=2.732$

And replacing into the formula for the interval we got:

$\frac{(9)(3.45)}{15.507} \leq \sigma \frac{(9)(3.45)}{2.732}$

$2.002 \leq \sigma^2 \leq 11.365$

7 0

3 years ago

A marathon is 26.2 miles long. Jarrod is running a marathon and has completed 17.75 miles. How

Nana76 [90]

Answer:

Jarron has 8.45 more miles to get to the finish line.

Step-by-step explanation:

All we have to do is subtract the total number of miles by the number of miles Jarron has completed.

So: 26.20 - 17.75 = 8.45

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3 years ago

A poll estimates that 47% of likely voters are in favor of additional restrictions on teenage drivers. The poll has a margin of

agasfer [191]

Answer:

Step-by-step explanation:

5 0

2 years ago

Who can solve for Y ? 2y < -4

slavikrds [6]

Answer:

y < -2

Step-by-step explanation:

2y < -4

Divide both sides by 2.

y < -2

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3 years ago

Read 2 more answers

The volume of a cylinder is 225π cubic inches,

aleksklad [387]

The value of the height of the cylinder is 25cm.

According to the statement

we have to find that the height pf the cylinder with the given value of the volume.

So, For this purpose we know that the

The volume of a cylinder is the density of the cylinder which finds that the amount of material it can carry. Cylinder's volume is given by the formula, πr^2h.

From the given information:

The volume of a cylinder is 225π cubic inches, and the radius of the cylinder is 3 inches.

Then

volume = πr^2h

225π = π3^2h

Now, solve it then

225 = 9h

h = 25.

The value becomes 25.

So, The value of the height of the cylinder is 25cm.

Learn more about volume of a cylinder here

brainly.com/question/9554871

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1 year ago