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tiny-mole [99]
4 years ago
10

Complete the factored form.3x4 + 16x + 21 = (3x + 7)( )​

Mathematics
1 answer:
jekas [21]4 years ago
8 0

Answer:

x+3

Step-by-step explanation:

21=7x3. Hence answer is 3

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a sociologist develops a test to measure attitudes towards public transportation and 27 randomly selected subjects are given the
horsena [70]

Answer:

The 95% confidence interval for the mean score is:

\mu ∈ (67.73,\ \ 84.67)

Step-by-step explanation:

We want to estimate the population mean, that is, the average score of all the subjects.

An estimator for the population mean μ is {\displaystyle {\overline {x}}}

Since the sample size is 27 then we use the  statistic  t_{\frac{\alpha}{2}}  with 27-1 = 26 degrees of freedom

The confidence interval for the mean is:

({\displaystyle {\overline {x}}} + t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}},\ \ {\displaystyle {\overline {x}}} - t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}})

Where

{\displaystyle {\overline {x}}}=76.2 is the average score of the sample

S=21.4 is the standard deviation of the sample

n= 27 is the sample size

t_{\frac{\alpha}{2}} = 2.056 for a confidence level of 95% and 26 degrees of freedom

Then confidence interval is

(76.2 + 2.056\frac{21.4}{\sqrt{27}},\ \ {76.2 - 2.056\frac{21.4}{\sqrt{27}})

(76.2 + 8.467,\ \ 76.2 - 8.467)

\mu ∈ (67.73,\ \ 84.67)

7 0
3 years ago
Is 17/8 and 1/2 a proportional
11111nata11111 [884]

Answer:

No

Step-by-step explanation:

If you simplify 17/8;

You'd get 2 <u>1/8</u>, and that is not proportional to 1/2.

8 0
2 years ago
Read 2 more answers
Please help<br> Value of x<br> and what are angles m thank you!
Usimov [2.4K]

To find the value of x, you want to use the vertical angles theorem.

The vertical angles theorem says that all vertical angles (which is what TRY and QRW are) are congruent to each other. Knowing this you can make an equation where the angles are equal to each other to find the value of x.

TRY = QRW, so:

(x+16) = (4x-5)

1. Add 5 to both sides.

(x+21) = (4x)

2. You can get rid of the parentheses.

x+21 = 4x

3. Subtract x from both sides.

21 = 3x

4. Divide both sides by 3, isolating x.

7 = x

5. Flip this equation around, so:

x = 7

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To find the measure of TRY then plug x into the expression for TRY, which is (x+16).

TRY => ((7)+16) = 23

Since TRY is 23, the vertical angles theorem says that QRW is also 23. Add these measures up.

23+23 = 46

A line's measure is 180 degrees, so two lines would add up to 360 degrees. Subtract 46 from 360 to find the remaining degrees.

360-46 = 314

TRQ and YRW must be congruent to each other so that means you can divide 314 by 2.

314/2 = 157

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Answers are:

TRY = 23

TRQ = 157

5 0
4 years ago
And then what is the answer in slope intercept form?
Reika [66]
Y= -2(x)+7 I'm pretty sure....
6 0
3 years ago
Write 2 numbers that cannot be divided evenly by 8 or 9. Write 1 number that can be divided evenly by both 8 and 9.
Pavlova-9 [17]

Answer:

17 and 26 (cannot be divided evenly by 8 and 9)

72 (LCM for 8 and 9)

Step-by-step explanation:

3 0
4 years ago
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