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3 years ago

In trapezoid RTUW, V is the midpoint of segment UW, and S is the midpoint of segment RT. Find UT.

Mathematics

1 answer:

andrezito [222]3 years ago

8 0

The line VS is middle line of that trapezoid, so you know that it is

VS= (WR+UT)/2

so we will get that it is:

40= (x^2+2 +2x^2+3)/2
x = 5

Therefore,

x^2 + 2
5^2 + 2
25 +2
27 <----- OPTION 2

Hope this answers the question.

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What are three different ways to write 15,638 with only hundreds, tens, and ones?

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Fifteen thousand six-hundred and thirty-eight

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3 years ago

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

Shtirlitz [24]

Answer:

Null Hypothesis, $H_0$ : $\mu \leq$ 250 W

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption of microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu \leq$ 250 W

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W

Here, null hypothesis states that the mean power consumption of microwave ovens is no more than 250 W.

On the other hand, alternate hypothesis sates that the mean power consumption of microwave ovens is more than 250 W.

The test statistics that would be used here is One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.

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3 years ago

Which equation represents the line that passes through points (1, –5) and (3, –17)? y = negative 6 x + 1 y = 6 x + 1 y = negativ

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Answer:

Using y = mx + c

slope = -17+5/3-1 = -12/2 = -6

Using point (1 , - 5)

y + 5 = -6(x - 1)

y + 5 = - 6x + 6

y = - 6x + 6 - 5

y = - 6x + 1

Hope this helps.

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3 years ago

Jocab run 5 miles in 1 1/2 hours. robert runs 3 miles in 45 minutes, or 3/4 hour. who ran the faster

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Answer: Robert ran faster than Jocab

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Convert the improper fraction to a proper fraction

Jocab = 5miles in 1 1/2 hours, therefore, 1 1/2 hours = 3/2 hours, to convert to minute will be 3/2 x 60 = 90 minutes

Robert = 3 miles in 3/4 hours = 45 minutes

If Robert runs 3 miles in 45 minutes, by the end of 90minutes, Robert would have covered 6miles, while Jocab covered 5miles in 90 minutes, therefore, Robert ran faster than Jocab.

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3 years ago