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aev [14]
3 years ago
6

What is the value of x?

Mathematics
2 answers:
nika2105 [10]3 years ago
8 0

AC is the hypotenuse of triangle ABC.

Because the length is 6√2 and angle A is 45 degrees, we know the length of both sides is 6.

This means AB is 6, which it the hypotenuse of triangle BCD.

Using cos(angle) = adjacent leg / hypotenuse we can find x:

cos(60) = X / 6

x = 6 * cos(60)

x = 3

exis [7]3 years ago
8 0

AC is the hypotenuse of triangle ABC.

Because the length is 6√2 and angle A is 45 degrees, we know the length of both sides is 6.

This means AB is 6, which it the hypotenuse of triangle BCD.

Using cos(angle) = adjacent leg / hypotenuse we can find x:

cos(60) = X / 6

x = 6 * cos(60)

x = 3

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Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of
Olin [163]

Answer:

P(16.5

And using the normal standard table or excel we find the probability:

P(-1.768< Z< 1.768) = P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

X \sim N(17.5,4)  

Where \mu=17.5 and \sigma=4

Since the distribution for X is normal then, the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu= 17.5, \frac{\sigma}{\sqrt{n}}= \frac{4}{\sqrt{50}}=0.566)

We select a sample of n =50 people. And we want to find the following probability

P(16.5

And using the normal standard table or excel we find the probability:

P(-1.768< Z< 1.768) = P(Z

4 0
3 years ago
if you invest $4,000 in an account that earns 3% interest. How much will you have in the account in 10 years?
Dmitrij [34]

Answer:

18,000

Step-by-step explanation:

4 0
3 years ago
Given parallelogram ABCD, solve for x
kumpel [21]

Answer:

x=5

Step-by-step explanation:

Set your equation up as following:

6x-10=3x+5

move the 3x to the left side by substracting

3x-10=5

now add 10 to the right side

3x=15

Divide 15 by 3 to isolate x

x=15/3

x=5

8 0
3 years ago
Type the correct answer in the box. Round off your answer to the nearest integer.
Ugo [173]

Answer:

59°

Step-by-step explanation:

In triangle DAB, by Pythagoras theorem:

DB= \sqrt {6^2 +5^2} =\sqrt{36+25}=\sqrt{61}

Next, in triangle DCB, by Pythagoras theorem:

DB= \sqrt {(\sqrt {61} )^2 - 4^2} =\sqrt{61-16}=\sqrt{45}

Now, by sin rule.

\frac{ \sin \: p}{ \sqrt{45} }  =  \frac{ \sin 90 \degree}{ \sqrt{61} }  \\  \\ \frac{ \sin \: p}{ 6.70820393}  =  \frac{ 1}{ 7.81024968 }  \\  \\ \sin \: p =  \frac{ 6.70820393}{7.81024968}  \\  \\ \sin \: p = 0.858897501 \\  \\p = 59.19301883 \degree \\  \\ p  \approx 59 \degree

3 0
3 years ago
How many cups did eddy order
IrinaK [193]

Answer:

9.

Step-by-step explanation:

334÷38=8.79, rounded up to 9.

4 0
3 years ago
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