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OLga [1]
2 years ago
12

I need help with 13 on both pictures. The first picture is the answer and the second picture is the question not getting the ans

wer at all

Mathematics
1 answer:
natita [175]2 years ago
6 0

Problem 13

If we want to multiply (x^3-3x^2+2x) with (x^3-2x^2+x), then we can set up a diagram shown below. The terms are along the outside. The stuff inside is the result of multiplying each pair of outer terms.

  • Example: x^3 times x^3 = x^6 in the top left corner
  • Another example: 2x times x = 2x^2 in the bottom right corner.

This is known as the box method to keep track of all the terms multiplied.

Once the table is filled out, we add up each term inside the boxes. Combine like terms if possible. Notice that I color-coded the like terms (eg: the x^3 terms are in green boxes).

The final answer is x^6 - 5x^5 + 9x^4 - 7x^3 + 2x^2

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Write an inequality that would include (1,2) in the solution, but not (-3,8).
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3 years ago
Gail is making costumes for a school play. Each rabbit costume needs one and one half yards of white fur fabric, a yard of blue
olga nikolaevna [1]

Answer:

Gail will need 12 yards of white fur, 8 yards of blue striped and 2 yards of the pink felt.

Step-by-step explanation:

We are given that,

The amount of yards for making one costume of different fabrics are,

White fur fabric = 1\frac{1}{2} = \frac{3}{2} yards

Blue striped fabric = 1 yard

Pink felt for ears = \frac{1}{4} yards.

So, we have,

The amount required to make 8 costumes are,

White fur fabric = \frac{3}{2}\times 8 = 3×4 = 12 yards

Blue striped fabric = 1×8 = 8 yards

Pink felt for ears = \frac{1}{4}\times 8 = 2 yards.

Thus, Gail will need 12 yards of white fur, 8 yards of blue striped and 2 yards of the pink felt.

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To paint his room ted prepared 2 gallons of a paint mixture at a ratio of 3:1 white to blue. If he later decide to dilute the co
earnstyle [38]

Answer:

White = 1.67 gallons

Blue = 0.33 gallons

Step-by-step explanation:

White : blue = 3 : 1

Total ratio = 3 + 1

= 4

Gallons = 2

White = 3 /4 × 2

= 6 /4

= 3/2 gallons

Blue = 1 / 4 × 2

= 2/4

= 1/2

If he later decide to dilute the color to a ratio of 5:1

Total ratio = 5 + 1

= 6

Total gallons = 2

White = 5 / 6 × 2

= 10/6

= 5/3 gallons

Or

= 1.67 gallons

Blue = 1 / 6 × 2

= 2 / 6

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4 0
2 years ago
Are you getting enough sleep? Many kids aren’t getting enough sleep, and TV might be part of the problem. Among 2002 randomly se
Naya [18.7K]

Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:

d. 68.39%.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 99% confidence level, hence\alpha = 0.99, z is the value of Z that has a p-value of \frac{1+0.99}{2} = 0.995, so the critical value is z = 2.575.

The sample size and estimate are given by:

n = 2002, \pi = 0.71

Hence, the lower bound is given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.71 - 2.575\sqrt{\frac{0.71(0.29)}{2002}} = 0.6839

Hence the lower bound is of 68.39%, which means that option D is correct.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0
2 years ago
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