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4 years ago

P is the incenter of QRS. Use the given information to determine find the indicated measure.

Mathematics

1 answer:

never [62]4 years ago

5 0

<span>The incenter is equidistant from all three triangle sides.
So, PJ = PK = PL.
PJ = 4x -8
PL = x + 7

Therefore,
</span>4x -8 = <span>x + 7
3x = 15
x = 5
So, PJ = 12
PL = 12 and
PK = 12

</span>

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A simple random sample from a population with a normal distribution of 103 body temperatures has x overbarequals98.90degrees Upp

Shtirlitz [24]

Answer:

$98.90-1.984\frac{0.62}{\sqrt{103}}=96.98$

$98.90+ 1.984\frac{0.62}{\sqrt{103}}=100.82$

The 95% confidence interval would be given by (96.98;100.82)

Step-by-step explanation:

Information given

$\bar X=98.90$ represent the sample mean

$\mu$ population mean (variable of interest)

s=0.62 represent the sample standard deviation

n=103 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=103-1=102$

Since the Confidence is 0.95 or 95%, the significance is $\alpha=0.05$ and $\alpha/2 =0.025$ , and the critical value for this case would be $t_{\alpha/2}=1.984$

And replacing we got:

$98.90-1.984\frac{0.62}{\sqrt{103}}=96.98$

$98.90+ 1.984\frac{0.62}{\sqrt{103}}=100.82$

The 95% confidence interval would be given by (96.98;100.82)

8 0

3 years ago

DONT ANSWER JUST TELL ME HOW TO DO IT!!!!! 15 POINTS!!! since there is two numbers infant of the parentheses which one do you di

oee [108]

Answer:

C. -n - 2

Step-by-step explanation:

Since there are no parenthesis for 3n + 2, you only distribute the 2 to (-2n - 1):

3n - 4n - 2

-n - 2

7 0

4 years ago

Read 2 more answers

Select all that apply to the following statement. There is a LOW correlation between cheating and final grades in Math256. Group

Gwar [14]

Answer:

The correlation has no unit of measurement; it is just a number.

Correlation requires both variables to be quantitative.

Step-by-step explanation:

Correlation refers to the measure of the relationship between two variables. The correlation between two variables is measured using the correlation Coefficient which may take any value between - 1 and 1 ; the closer the correlation Coefficient is to either 1 or - 1, the greater the relationship with negative depicting a negative association and positive depicting a positive relationship between the variables. The correlation Coefficient requires that both variables are numeric (quantitative). The correlation Coefficient has no unit of measurement.

4 0

3 years ago

Simplify the expression.

Tresset [83]

7•[24/(12-4)]-3

= 7•[24/8] - 3

= 7•[3] - 3

= 21 - 3

= 18

3 0

3 years ago

ALREADY SOLVED - the system of equations has no solution.

Anastasy [175]

They run parallel to each other when graphed.

6 0

3 years ago