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3 years ago

Help me ASAP please!!

Mathematics

1 answer:

Illusion [34]3 years ago

4 0

Answer:

The answer is D. (6x-3)²

Step-by-step explanation:

You need to use Cross Factorisation Method...

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Evaluate the limit as h goes to 0 of (3+h)^4 -81/h

Montano1993 [528]

Answer:6

Step-by-step explanation:Take the derivative of the numerator and denominator, then evaluate the limit.

8 0

2 years ago

Find the value of x.

nadezda [96]

Answer:

Step-by-step explanation:

The median of a trapezoid equals one half of the sum of the bases

AC is a median and EB and DF are the bases.

hence AC = 1/2(EB + DF)

We are given that EB = 13 and that AC = 19. And we need to find DF

To do so we plug in what we are given and solve for DF

AC = 1/2(EB + DF)

AC = 19, EB = 13

19 = 1/2(13 + DF)

Now solve for DF

* Multiply both sides by 2*

19 * 2 = 38

1/2(13 + DF) * 2 ( the 1/2 and 2 cancel out and we're left with 13 + DF )

We then have 38 = 13 + DF

* Subtract 13 from both sides *

38 - 13 = 13 - 13 + DF

We get that DF = 25

6 0

2 years ago

A truck loaded with 8000 electronic circuit boards has just pulled into a firm’s receiving dock. The supplier claims that no mor

Juliette [100K]

Answer:

The 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

Let X = number of boards that fall outside the most rigid level of industry performance specifications.

In a random sample of 300 boards the number of defective boards was 12.

Compute the sample proportion of defective boards as follows:

$\hat p =\frac{12}{300}=0.04$

The (1 - α)% confidence interval for population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The critical value of z for 95% confidence level is,

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)$

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

3 0

2 years ago

I need to know how to do number 20

zimovet [89]

$(x^4y^3)^2=(x^4)^2(y^3)^2=x^{4\cdot2}y^{3\cdot2}=x^8y^6\\\\Used:\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}$

6 0

2 years ago

Hope's watch gains 8 minutes every 2 hours. How much time will it gains in ; a) 12 hours b) 13 hours

prisoha [69]

Answer:

A = 48, and B = 52

Step-by-step explanation:

Simplify 8 = 2 hours to 4 = 1 hour, then multiply 4 times 12 to get the answer to a. The answer to b would be multiplying 4 times 13.

3 0

2 years ago