117 and x adjacent angles what is the value of x

X + 3 = -1 Prove x Need help I need to see work. Don’t understand this problem.

raketka [301]

Answer:

x=-4

Step-by-step explanation:

X needs to be a number that when 3 is added to it, becomes -1. So, adding 3 to -4 gives you -1, therefore, x=-4. Hope this helped!

8 0

3 years ago

You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence

Alla [95]

Answer:

$122 \leq \mu \leq 138$

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

Step-by-step explanation:

Previous concepts

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 % where by a population means 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.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that $t_{\alpha/2}=2.06$

Now we have everything in order to replace into formula (1), for this case we got:

$122 \leq \mu \leq 138$

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

6 0

3 years ago

A regression of y = calcium content (g/L) on x = dissolved material (mg/cm2) was reported in the article "Use of Fly Ash or Sili

MatroZZZ [7]

Answer:

a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l

while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.

b) 10.878

c) S ≈ 1.99

Step-by-step explanation:

a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l

while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.

B) Point estimate of true average calcium content

Given that dissolved material = 50 mg/cm^2

= 3.678 + 0.144 * dissolved material

= 3.678 + 7.2 = 10.878

C) Determine an estimate of error standard deviation

Given that ; sum of squares ( SST ) = 320.398

COD ( r ) = 0.86

first; calculate the value of SSE = SST - SST ( r^2 )

SSE = 320.398 - 320.398 ( 0.86) ^2

= 83.43

Finally ; determine the estimate of error standard deviation

S^2 = SSE / n -2

= 83.43 / 23 - 2

∴ S ≈ 1.99

6 0

3 years ago

Solve for x.

konstantin123 [22]

Answer:

The value of x = 9

Step-by-step explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

$\frac{x}{15}=\:\frac{12}{20}$

Cross Multiply the expression

$\:20\times x=12\times 15$

Divide both sides by 20

$\frac{20x }{20}=\frac{180}{20}$

$x=9$

Therefore, the value of x = 9

5 0

3 years ago

Pen has 1/2- cup and 1/8- cup measuring cups. What are two ways he could measure 1 3/4 cups of flour?

astraxan [27]

You can get two half cups and then two eighth cups OR you can get fourteen eighth cups

4 0

3 years ago

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