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3 years ago

15

Instructions: state what additional information is required in order to know that the triangle in the image below are congruent

for the reason given
***I need help before it’s due**

1 answer:

Stells [14]3 years ago

8 0

SSS (side-side-side) requires that all three sides of the potentially congruent triangles be congruent.

Triangle WVU & Triangle UBW are our two triangles.

The middle line, UW and WU are congruent by the reflexive property, so that is not the information we need to prove SSS.

For SSS, we need to know that sides WV and UB are congruent.

Hope this helps!

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Barrons reported that the average number of weeks an individual is unemployed is 17.5 week. assume that for the population of al

slega [8]

Answer:

$\mu = 17.5$

$\sigma = 4$

n = 50

A) show the sampling distribution of x, the sample mean average for a sample of 50 unemployment individuals.

We will use central limit theorem

So, mean of sampling distribution = $\mu_{\bar{x}}=\mu = 17.5$

Standard deviation of sampling distribution = $\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}= 0.5656$

B) What is the probability that a simple random sample of 50 unemployment individuals will provide a sample mean within one week of the population mean?

A sample mean within one week of the population mean means $x-\mu = 1$

So, $P(|x-\mu|$

= $P(\frac{-1}{\frac{4}{\sqrt{50}}}$

= $P(-1.77$

= $P(z$

=0.9616-0.0384

=0.9232

The probability that a simple random sample of 50 unemployment individuals will provide a sample mean within one week of the population mean is 0.9232.

C) What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within a half week of the population mean?

A sample mean within one week of the population mean means $x-\mu = 1$

So, $P(|x-\mu|$

= $P(\frac{-1-0.5}{\frac{4}{\sqrt{50}}}$

= $P(-0.88$

= $P(z$

=0.8106-0.1894

=0.6212

The probability that a simple random sample of 50 unemployed individuals will provide a sample mean within a half week of the population mean is 0.6212

3 0

4 years ago

-3+9x>87 or -x-9>-17

Alex_Xolod [135]

Answer:

$\large\boxed{x\in(-\infty,\ 8)\ \cup\ (10,\ \infty)}$

Step-by-step explanation:

$-3+9x>87\qquad\text{add 3 to both sides}\\\\9x>90\qquad\text{divide both sides by 9}\\\\\boxed{x>10}\to(1)\\\\-x-9>-17\qquad\text{add 9 to both sides}\\\\-x>-8\qquad\text{change the signs}\\\\\boxed{x10\ or\ x$

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3 years ago

What is the midpoint of the line segment that has endpoints (3,8) and (1,−4) ?

bezimeni [28]

Answer:

D

Step-by-step explanation:

<em>Midpoint Formula:</em>

$\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}$

$\frac{3+1}{2}$ ⇒ $\frac{4}{2}$ ⇒ $2$

$\frac{8+-4}{2}$ ⇒ $\frac{8-4}{2}$ ⇒ $\frac{4}{2}$ ⇒ $2$

$(2,2)$

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4 years ago

Emilio works for the parks department of West Palm City. He tracked how many emails the

MissTica

Answer:

The answer is 50%.

Step-by-step explanation:

I did the question on IXL, and got it right.

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3 years ago

The ratio of the width of a rectangle to it's length is 3:4. The length of the rectangle is 36 cm. Find the rectangles width.

Fiesta28 [93]

Answer:

27 cm

Step-by-step explanation:

So the ratio you have is

width(x) : length (36)= 3:4

Divide 36 (length) by the ratio length. 36÷4=9

They are multiples of nine, so multiply the width by 9 to get the 3.

3×9=27

You have 27:36

If you want to check it, divide both by 9 and you get 3:4

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3 years ago