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1 year ago

Point V is on line segment \overline{UW}

Mathematics

1 answer:

ser-zykov [4K]1 year ago

6 0

The measure of VW from the given expressions is 4

<h3>Line segments</h3>

If the point V is on the line Uw, then;

UW = UV + VW

Given the following

VW=x, UV=3x-1 and UW=5x-5

Substitute

5x - 5 = 3x-1+x
5x - 5 = 4x - 1

Collect like terms

x = -1 + 5

x = 4

VW = x = 4

Hence the measure of VW from the given expressions is 4

Learn more on line segment here: brainly.com/question/2437195

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Answer:

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Step-by-step explanation:

Hi there...

y = 2x

y = -x - 6

Since why is equal to 2x, we can plug it in for y in the second equation. Here's what I mean...

2x = -x - 6

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Now, plug in x for y. Here's what I mean...

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Answer:

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Step-by-step explanation:

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Eva and her children went into a restaurant and where they sell hotdogs for $5 each and tacos for $2.50 each. Eva has $30 to spe

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(dont mind my spelling im bad at that)so seeing that one hot dog is 5 dollors

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Answer:

Probability that the sample proportion will be less than 0.03 is 0.10204.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.04.

Also, 469 are sampled.

Let $\hat p$ = sample proportion

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = true proportion = 0.04

n = sample size = 469

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be less than 0.03 is given by = P( $\hat p$ < 0.03)

P( $\hat p$ < 0.03) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\frac{0.03-0.04}{\sqrt{\frac{0.03(1-0.03)}{469} } }$ ) = P(Z < -1.27) = 1 - P(Z $\leq$ 1.27)

= 1 - 0.89796 = 0.10204

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.27 in the z table which has an area of 0.89796.

Therefore, probability that the sample proportion will be less than 0.03 is 0.10204.

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