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3 years ago

-4x(2x^2-y) multiplying polynomials

Mathematics

1 answer:

andrezito [222]3 years ago

6 0

Answer:

-8x^3+4xy

Step-by-step explanation:

-4x·2x^2

Multiply the like terms

-8x^3

Two negatives equal a positive so

-4x(-y)

=+4xy

Therefor the answer is:

-8x^3+4xy

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In a simple random sample of 300 boards from this shipment, 12 fall outside these specifications. Calculate the lower confidence

Lyrx [107]

Answer:

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

Step-by-step explanation:

In a random sample of 300 boards the number of boards that fall outside the specification is 12.

Compute the sample proportion of boards that fall outside the specification in this sample 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%).

6 0

3 years ago

Sam built a fence that was 54 feet long she built the same legnth of fence each day for 6 days how many inches of fence did Sam

FromTheMoon [43]

Answer:

9 inches a day

Step-by-step explanation:

9 multiplied by 6 is 54

4 0

3 years ago

Read 2 more answers

-4(x - 2) - 3x = 2(5x - 7) + 6

Allisa [31]

Answer: last option.

Step-by-step explanation:

To apply the Distributive property, remember that:

$c(a-b)=ca-cb$

Then, applying this, you get:

$-4(x - 2) - 3x = 2(5x - 7) + 6\\\\(-4)(x)+(-4)(-2)-3x=(2)(5x)+(2)(-7)+6\\\\-4x+8-3x=10x-14+6$

Combine like terms means that you need to add the like terms.

Therefore, you get:

$-7x+8=10x-8$

You can observe that the expression obtained matches with the expression provided in the last option.

3 0

3 years ago

Can you help me, please ……..

dedylja [7]

Answer: The correct answer is 44.60

Step-by-step explanation:

Let's find the area of the rectangle first, and then add it with the area of the Circle to find the total area of the whole shape.

We know that the area of a Rectangle is L(Length) x W(Width)

So using the given information, 8 x 4 = 32

So the Area of the Rectangle = 32

Now let's find the area of the given circle,

Area of a Circle: πr2 Remember ^ = stands for power

The radius is half of the diameter

The diameter of the circle is 4

4/2 = 2 which is our radius, and now let's replace it in the equation.

= 3.14(r)^2

= 3.14(2)^2

= 3.14(4)

= 12.56 or some may have got 12.57

So now we add all areas together to get the total area,

32+12.57 = 44.57

Now rounding off to the nearest tenths, would give us 44.60

So the area of the figure rounded to the nearest tenth is 44.60

5 0

3 years ago

Read 2 more answers

Help See the picture

xenn [34]

Answer:

It is equal to 80.9

Step-by-step explanation:

Please give me brainliest I would appreciate it

3 0

3 years ago