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2 years ago

Find the value of x and y

Mathematics

1 answer:

bagirrra123 [75]2 years ago

7 0

According to google, the red marks mean those two lines are the same length. If that's the case, we know that x is the angle in both corners of the lower triangle. We also know that because the angle of a straight line is 180, that the top angle of the bottom triangle is 140, because it's divided into two parts, one of which is 40. That leaves 140 for the rest. Now we know that there are 180 degrees in a triangle so x=(180-140)/2 = x=20degrees.
The right angle in the left corner is 90 degrees. It is divided in two parts, the lower one of which we just found to be 20. So the other part must by 70deg.
So for the upper angle y, we have 180-70-40= y=70degrees

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A class survey in a large class for first-year college students asked, “About how many minutes do you study on a typical weeknig

Anika [276]

Answer: (110.22, 125.78)

Step-by-step explanation:

The confidence interval for the population mean is given by :-

$\mu\ \pm z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size = 463

$\mu=118\text{ minutes}$

$\sigma=65\text{ minutes}$

Significance level : $\alpha=1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=\pm2.576$

We assume that the population is normally distributed.

Now, the 90% confidence interval for the population mean will be :-

$118\ \pm\ 2.576\times\dfrac{65}{\sqrt{463}} \\\\\approx118\pm7.78=(118-7.78\ ,\ 118+7.78)=(110.22,\ 125.78)$

Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)

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3 years ago

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5 0

2 years ago

Please answer thank you

Alchen [17]

-x - 9 $\geq 5$

You want to get x by itself.

First subtract 9 from both sides of the equation.

-x - 9 $\geq 5$
+9 +9

-x $\geq 14$

Then divide -1 on both sides.

-x/-1 $\geq 14/-1$

I'm pretty sure when you divide a negative number when solving inequalities, you switch the sign.

x $\leq 5$

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kolezko [41]

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Read 2 more answers

Evaluate the expression below.<br> 13-[4•(8-5)+2-9]•2

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Answer:

Step-by-step explanation:

13 - [4 *(8 - 5) + 2 - 9] * 2 =

13 - [ 4 (3) + 2 - 9] * 2 =

13 - [ 12 + 2 - 9] * 2 =

13 - 5 * 2 =

13 - 10 =

8 0

2 years ago