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s344n2d4d5 [400]
3 years ago
10

What is m∠PQR? please help

Mathematics
2 answers:
leva [86]3 years ago
6 0

Answer:

127

Step-by-step explanation:

The angles add up to 180° since they are on a straight line. Find 3x - 5.

3x - 5 + x + 1 = 180

4x - 4 = 180

4x = 180 - 4

    = 176

x = 176 ÷ 4

x = 44

3x - 5 = 3(44) - 5

          = 132 - 5

          = 127

Effectus [21]3 years ago
4 0

Answer:

Step-by-step explanation:

<PQR=3X-5

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Suppose we have a population whose proportion of items with the desired attribute is p = 0:5. (a) If a sample of size 200 is tak
crimeas [40]

Answer:

a. If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b. If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

Step-by-step explanation:

This problem should be solved with a binomial distribution sample, but as the size of the sample is large, it can be approximated to a normal distribution.

The parameters for the normal distribution will be

\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/200}= 0.0353

We can calculate the z values for x1=0.47 and x2=0.51:

z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.0353}=-0.85\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.0353}=0.28

We can now calculate the probabilities:

P(0.47

If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b) If the sample size change, the standard deviation of the normal distribution changes:

\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/100}= 0.05

We can calculate the z values for x1=0.47 and x2=0.51:

z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.05}=-0.6\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.05}=0.2

We can now calculate the probabilities:

P(0.47

If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

8 0
3 years ago
(4x + 8x - 5) + (3x2 + 6x - 7)
ch4aika [34]

Answer:

7x^2 + 14x - 12

Step-by-step explanation:

Add like terms:

(4x + 8x - 5) + (3x2 + 6x - 7) becomes:

  4x^2 + 8x - 5               or (grouping like terms in columns):

+ 3x^2 + 6x - 7

---------------------

 7x^2 + 14x - 12

5 0
3 years ago
I forgot how to do this​
adoni [48]

Answer:

\boxed{ \bold{  \huge{ \boxed{ \sf{1}}}}}

Step-by-step explanation:

\sf{ \frac{1}{2}  \times 2}

Multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

\dashrightarrow{ \sf{ \frac{1 \times 2}{2 \times 1} }}

\dashrightarrow{ \sf{ \frac{2}{2} }}

\dashrightarrow{ \sf{1}}

Or, You can simply reduce the fraction with 2, which results to 1.

Hope I helped!

Best regards! :D

6 0
3 years ago
Which expression is equal to 4−−√40−3−−√45 ?
gregori [183]
The    Answer:   <span>−30<span>x                    .-. 
 good luck</span></span>
6 0
3 years ago
A basketball league's average score is 58 points per game. Coach McGee tracks a team's average for five weeks and compares
iogann1982 [59]

Answer:

the 2nd option

Step-by-step explanation:

If you change Week 5 into a decimal, you will get -1.8, which is the same as Week 4.

Hope this helps :)

8 0
3 years ago
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