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3 years ago

TW¯¯¯¯¯¯¯¯¯=14.6, CW¯¯¯¯¯¯¯¯¯=6, TU¯¯¯¯¯¯¯=21.2. Find the value of VW¯¯¯¯¯¯¯¯¯.

Mathematics

2 answers:

pogonyaev3 years ago

8 0

TW x WU = CW x VW

Fill in the known values:

WU = TU - TW = 21.2 - 14.6 = 6.6

14.6 x 6.6 = 6 x VW

Simplify:

96.36 = 6VW

Divide both sides by 6:

VW = 96.36 / 6

VW = 16.06

Round to one decimal place:

VW = 16.1

The answer is D>

WITCHER [35]3 years ago

6 0

Answer: Are you in educere geometry? If so lmk I am too

Step-by-step explanation:

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A ladder is placed against a wall of a building 20m above the ground. The foot of the ladder is 15m away from the bottom of the

olganol [36]

By the Pythagorean Theorem:

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4 0

3 years ago

A report indicated that 37% of adults had received a bogus email intended to steal personal information. Suppose a random sample

fiasKO [112]

Answer:

5.05% probability that no more than 34% had received such an email.

Step-by-step explanation:

We use the binomial approximation to the normal to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 700, p = 0.37$

$\mu = E(X) = np = 700*0.37 = 259$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{700*0.37*0.63} = 12.77$

In a random sample of 700 adults, what is the probability that no more than 34% had received such an email?

34% is 0.34*700 = 238

So this probability is the pvalue of Z when X = 238.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{238 - 259}{12.77}$

$Z = -1.64$

$Z = -1.64$ has a pvalue of 0.0505

5.05% probability that no more than 34% had received such an email.

7 0

3 years ago

Answer and explanation please

Gnom [1K]

For the triangle, the shaded part, both the height and base are 12, so the area of it is:

1/2 (12 x 12) = 72

And the area of the whole square is 144

But what we’re looking for is the area of the unshaded region. So to find it, we’ll need to subtract the shaded from the total. So:

144 - 72 = 72

Thus, the area of the unshaded region is 72

3 0

3 years ago

Read 2 more answers

Solve for x. 3x + 5 = 23

Lunna [17]

[|] Answer [|]

$\boxed{X \ = \ 6}$