Solve for x and y<br> A=3y<br> B=105<br> C=9x+5<br> D=2x+10

Select the table that represents a linear function. (Graph them if necessary.) O A. x 0 1 2 3 y 3 2 0 1 B. X 0 1 2 3 y 612 18 24

leonid [27]

Answer:

b because y moves same amount per x

7 0

3 years ago

Now who keeps sending links lol

Romashka [77]

I don’t know but it is really annoying and they need to stop. they are virus’

7 0

3 years ago

Read 2 more answers

One step in the manufacture of a certain metal clamp involves the drilling of four holes. In a sample of 150 clamps, the average

Mandarinka [93]

Answer:

a) $72-1.52\frac{10}{\sqrt{150}}=70.76$

$72+1.52\frac{10}{\sqrt{150}}=73.24$

So on this case the 87% confidence interval would be given by (70.76;73.24)

b) $ME= \frac{75-69}{2}= 3$

And the margin of error is given by:

$ME=t_{\alpha/2}\frac{s}{\sqrt{n}}$

And replacing we can solve for the critical value $t_{\alpha/2}$

And we got:

$t_{\alpha/2}= \frac{ME*\sqrt{n}}{s}= \frac{3* \sqrt{150}}{10}= 3.674$

And we can find the significance level with this formula:

"=2*T.DIST(-3.674;149;TRUE)"

And the confidence level would be 1-0.000332= 0.999668

And then that correspond to 99.96%

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 % whereby 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".

$\bar X=72$ represent the sample mean

$\mu$ population mean (variable of interest)

$s=10$ represent the sample standard deviation

n=150 represent the sample size

87% confidence interval

Part a

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:

$df = 150-1=149$

Since the Confidence is 0.87 or 87%, the value of $\alpha=0.13$ and $\alpha/2 =0.065$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.065,149)".And we see that $z_{\alpha/2}=1.52$

Now we have everything in order to replace into formula (1):

$72-1.52\frac{10}{\sqrt{150}}=70.76$

$72+1.52\frac{10}{\sqrt{150}}=73.24$

So on this case the 87% confidence interval would be given by (70.76;73.24)

Part b

For this case the confidence interval is given by: (69,75)

We can estimate the margin of error like this:

$ME= \frac{75-69}{2}= 3$

And the margin of error is given by:

$ME=t_{\alpha/2}\frac{s}{\sqrt{n}}$

And replacing we can solve for the critical value $t_{\alpha/2}$

And we got:

$t_{\alpha/2}= \frac{ME*\sqrt{n}}{s}= \frac{3* \sqrt{150}}{10}= 3.674$

And we can find the significance level with this formula:

"=2*T.DIST(-3.674;149;TRUE)"

And the confidence level would be 1-0.000332= 0.999668

And then that correspond to 99.96%

3 0

3 years ago

Two parallel lines are crossed by a transversal.

patriot [66]

Answer:

C. $m=102$

Step-by-step explanation:

We have been given an image of two parallel lines crossed by a transversal. We are asked to find the measure of m.

We can see that angle that measure 78 degrees and angle m are consecutive interior angles.

Since we know that consecutive interior angles are supplementary, so we can set an equation to find the measure of m as:

$78^{\circ}+m^{\circ}=180^{\circ}$

$78^{\circ}-78^{\circ}+m^{\circ}=180^{\circ}-78^{\circ}$

$m^{\circ}=102^{\circ}$

Therefore, the value of m is 102 and option C is the correct choice.

5 0

3 years ago

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HELP PLEASE IM BEGGING PLEASEEE I NEED IT NOWWW

leonid [27]

cylindrical-shaped aquarium is to be filled with water for the newly bought salt water fishes. How much salt water is needed if the aquarium has a 2 ft radius of its base and a height of 3 ft?

Volume = πr²h

V = (3.14) (2)² (3)

V = (3.14) (4) (3)

V = 37.68 ft³

37.68 ft³ of salt water is needed to fill the cylindrical aquarium.

Mr. Lee is buying a spherical water tank for his tomato plantation. How much water could be stored if the water tank has a radius of 2 meters?

Volume = (4/3) πr³

V = (4/3) (3.14) (2)³

V = (4/3) (3.14) (8)

V = (4/3) (25.12)

V = 33.493 m³

Mr. Lee can store 33.493 m³ of water in the spherical tank.

https://brainly.ph/question/15441850

7 0

2 years ago

Solve for x and y A=3y B=105 C=9x+5 D=2x+10