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Alex787 [66]
3 years ago
5

Simplify this question 8a-6(1-6a)

Mathematics
1 answer:
vladimir2022 [97]3 years ago
3 0

Answer:

44a − 6

Explanation:

8a − 6(1 − 6a)

Distribute

= 8a + (−6)(1) + (−6)(−6a)

= 8a + −6 + 36a

Combine Like Terms

= 8a + −6 + 36a

= (8a + 36a) + (−6)

=44a + −6

= 44a − 6

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The mean student loan debt for college graduates in Illinois is $30000 with a standard deviation of $9000. Suppose a random samp
Nataly [62]

Answer:

the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

Step-by-step explanation:

Given that:

Mean = 30000

Standard deviation = 9000

sample size = 100

The probability that the mean student loan debt for these people is between $31000 and $33000 can be computed as:

P(31000 < X < 33000) = P( X \leq 33000) - P (X \leq 31000)

P(31000 < X < 33000) = P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )- P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )

P(31000 < X < 33000) = P( Z \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )- P(Z \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )

P(31000 < X < 33000) = P( Z \leq \dfrac{3000}{\dfrac{9000}{10}}}) -P(Z \leq \dfrac{1000}{\dfrac{9000}{10}}})

P(31000 < X < 33000) = P( Z \leq 3.33)-P(Z \leq 1.11})

From Z tables:

P(31000 < X

P(31000 < X

Therefore; the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

8 0
3 years ago
Find the area of the triangle
Archy [21]

Step-by-step explanation:

total base length has to be found.

(√(3.6)^2+(3.25)^2+6.2)*3.25*.5=3.97

6 0
2 years ago
If 3 = 1/2gt^2, make t the subject of the formula<br>​
Montano1993 [528]

Answer:

t = √1.5/g

Step-by-step explanation:

1/2gt^2 = 3

Divide both sides by 1/2

gt^2 = 1.5

Divide both sides by g

t^2 = 1.5/g

Square root both sides

t = √1.5/g

5 0
2 years ago
CAN SOMEBODY HELP ME PLEASE
Mashutka [201]

Answer:

The answer to your questions are:

15.- 45 mg

16.- 25 kg

17.- 185 pounds

18.- 6 mg

Step-by-step explanation:

                                            D = (a M)  / (a + 12)

15.-

a = 4 years

M = 180

                                      D = (4 x 180) / (4 + 12)  = 720 / 16

                                      D = 45 mg

16.-                                1 pound --------------- 0.4535 kg

                                   55 pounds ------------  x

                                  x = 55 x 0.4535 / 1  

                                 x = 24.94 ≈25 kg

17.-                                1 pound --------------- 0.4535 kg

                                    x             ---------------   84.09 kg

                           x = 84.09x 1 /0.4535

                          x = 185.42 pounds  

18.-  M = 18 mg        what is 1/3 of the adult dose?

                          M = 18/3 = 6 mg

5 0
3 years ago
Read 2 more answers
What is the value of X?
Leviafan [203]

Answer:

w = 31

Step-by-step explanation:

To find the value of w:

 We know that the three angles in a triangle add to 180 degrees

w + w + (4w-6) =180

Add like terms

6w-6 = 180

Add 6 to each side

6w -6+6 =180+6

6w = 186

Divide each side by 6

6w/6 = 186/6

w = 31

7 0
3 years ago
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