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algol13
3 years ago
5

Given that rectangle MNOP - Rectangle STUV what's the length of TUPlease explain. Thank you.

Mathematics
1 answer:
Kipish [7]3 years ago
6 0
If you mean the two rectangles are similar, then you would set up a proportion as shown below:

\frac{x}{10}= \frac{6}{4}
4x = 6(10)
4x = 60
x = \frac{60}{4}
x = 15
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Is (-5, 6) a solution to y = 2x + 4 ?<br> I need an answer quickly, please
Fittoniya [83]

Answer:

(-5, 6) is not a solution.

Step-by-step explanation:

6=2(-5)+4

6=-10+4

-10+4=-6, not 6.

7 0
3 years ago
Joelle spent 1 1/2 hours studying for her science test. Rileigh studied 3/4 for of Joelle‛s time. What fraction of an hour did R
ale4655 [162]

Answer: 1¹/₈ hours

Step-by-step explanation:

Joelle spent 1¹/₂ hours reading and Rileigh spent 3/4 of that time.

To find out how much time Rileigh spent, multiply the fractions but first convert the improper fraction to a proper fraction:

= 1¹/₂ = 3/2

= 3/2 * 3/4

= 9/8

= 1¹/₈ hours

7 0
2 years ago
A forester studying the effects of fertilization on certain pine forests in the Southeast is interested in estimating the averag
ahrayia [7]

Answer:

P(-2 \leq \bar X -\mu \leq 2)

If we divide both sides by \frac{\sigma}{\sqrt{n}} we got:

P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})

And we can use the normal distribution table or excel to find the probabilites and we got:

P(-1.5 \leq Z \leq 1.5)= P(ZStep-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 area of a population, and for this case we know the distribution for X is given by:

X \sim N(M,4)  

Where \mu=M and \sigma=4

We select a a sample of n =4 and since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

P(-2 \leq \bar X -\mu \leq 2)

If we divide both sides by \frac{\sigma}{\sqrt{n}} we got:

P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})

And we can use the normal distribution table or excel to find the probabilites and we got:

P(-1.5 \leq Z \leq 1.5)= P(Z

8 0
3 years ago
Ebonie invests in $2500 today in an account earning 7%. How much will she have in 5 years?
nikdorinn [45]

Answer:

Amount she Receive in 5 years = $3506.37

Step-by-step explanation:

Given in question as

Ebonie invests amount in account = P = $2500

The interest rate she will have = 7%

The amount will keep in account for 5 years

Now we apply compound interest (CI ) to determine how much she will receive after 5 years ,

So , for CI

Amount = principal ( 1 + \frac{Rate}{100} ^ T     ,where T is Time

So, A = 2500 ( 1 +\frac{7}{100})^5

Or, A = 2500 (1.40255)

Or, A = $3506.37

Hence Amount she will receive $ 3506.37  Answer

3 0
3 years ago
Need this answer asap giveing 20 points!
katen-ka-za [31]

Answer:

ok um what’s the question?

6 0
3 years ago
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