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Grace [21]
2 years ago
8

Simplifya) ( -3a ) × ( -2ab ) =b) -(4n^3)^2 =​

Mathematics
1 answer:
Anika [276]2 years ago
7 0

Answer:

a) ( -3a ) × ( -2ab ) = 6a^2b
b) -(4n^3)^2 = 16n^6

Step-by-step explanation:

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nika2105 [10]
You have to use a calculator for both of the exact values using sin^-1 or Cos^-1 you can then times those together, with the final part the answer is sin 240 as sin(A-B) = sinAcosB-CosASinB
6 0
3 years ago
Sat scores. sat scores of students at an ivy league college are distributed with a standard deviation of 250 points. two statist
erik [133]

The confidence interval for confidence level of 1-\alpha is

\left(\overline x-Z_{\alpha/2}\dfrac\sigma{\sqrt n},\overline x+Z_{\alpha/2}\dfrac\sigma{\sqrt n}\right)

where \overline x is the sample mean, Z_{\alpha/2} is the critical value for the given confidence level, \sigma is the standard deviation of the population, and n is the sample size. The margin of error is the Z_{\alpha/2}\dfrac\sigma{\sqrt n} term.

a) For a confidence level of 1-\alpha=0.90, we have Z_{\alpha/2}=Z_{0.05}\approx1.64. So in order to have a margin of error of at most 25 points, we have

1.64\dfrac{250}{\sqrt n}=25\implies n\approx268.96

so Raina should collect a sample of at least 269 students.

b) A confidence interval with a higher confidence level would more closely approximate and reflect the population, so it stands to reason that Luke should collect a larger sample than Raina to meet his 99% confidence spec.

c) For a confidence level of 1-\alpha=0.99, we have Z_{\alpha/2}=Z_{0.005}\approx2.58. Then the margin of error would at most satisfy

2.58\dfrac{250}{\sqrt n}=25\implies n\approx665.64

so that Luke should collect a sample of at least 666 students.

4 0
3 years ago
Determine the possible side lengths of the third side of a triangle with known side lengths of 5 and 8.
andre [41]

Answer:

40

Step-by-step explanation:

8 times 5=40

8 0
4 years ago
Read 2 more answers
6x-3=3x+12 what is the solution to the equation?
Alona [7]

Answer:

x=5

Step-by-step explanation:

add 3 to both sides of the equation: -3+3=0 12+3=15 simplified: 6x=3x+15 then subtract 3x from both sides of the equation. simplified: 3x=15

then divide both sides by 3. simplified: x=5

8 0
3 years ago
Help me with this!!!!
tankabanditka [31]

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

7 0
3 years ago
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