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4 years ago

What polynomial when divided by 2y^5 yields 4y^2-2y+9 as a quotient?

1 answer:

6 0

$w(x):2y^5=4y^2-2y+9\Rightarrow w(x)=2y^5(4y^2-2y+9)\\\\w(x)=2y^5\cdot4y^2-2y^5\cdot2y+2y^5\cdot9\\\\w(x)=8y^7-4y^6+18y^5$

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A catering company provides packages for weddings and for showers. The cost per person for small groups

Tomtit [17]

Using the <em>normal distribution and the central limit theorem</em>, it is found that the probability the mean cost of the weddings is more than the mean cost of the showers is of 0.9665.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

When two variables are subtracted, the mean is the subtraction of the means, while the standard error is the square root of the sum of the variances.

<h3>What is the mean and the standard error of the distribution of differences?</h3>

For each sample, they are given by:

$\mu_W = 82.3, s_W = \frac{18.2}{\sqrt{9}} = 6.0667$

$\mu_S = 65, s_S = \frac{17.73}{\sqrt{6}} = 7.2382$

For the distribution of differences, we have that:

$\mu = \mu_W - \mu_S = 82.3 - 65 = 17.3$

$s = \sqrt{s_W^2 + s_S^2} = \sqrt{6.0667^2 + 7.2382^2} = 9.4444$

The probability the mean cost of the weddings is more than the mean cost of the showers is P(X > 0), that is, <u>one subtracted by the p-value of Z when X = 0</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0 - 17.3}{9.4444}$

$Z = -1.83$

$Z = -1.83$ has a p-value of 0.0335.

1 - 0.0335 = 0.9665.

More can be learned about the <em>normal distribution and the central limit theorem</em> at brainly.com/question/24663213

5 0

2 years ago

At a local grocery store, bananas were on sale. Green bananas were priced at $14.00 and yellow bananas were priced at $12.00. Sa

garri49 [273]

Answer:

Sabrina bought 6 yellow bananas and 3 green bananas

Step-by-step explanation:

Let

Green bananas = x

Yellow bananas = y

Green bananas = $14.00

Yellow bananas = $12.00

Total cost = $114.00

x + y = 9 (1)

14x + 12y = 114 (2)

From (1)

x = 9 - y

Substitute x = 9 - y into (2)

14(9 - y) + 12y = 114

126 - 14y + 12y = 114

- 14y + 12y = 114 - 126

-2y = -12

Divide both sides by -2

y = -12 / -2

= 6

y = 6

Substitute y = 6 into (1)

x + y = 9

x + 6 = 9

x = 9 - 6

= 3

x = 3

Sabrina bought 6 yellow bananas and 3 green bananas

3 0

3 years ago

___sides of equal length

emmainna [20.7K]

Answer:

__2_sides of equal length

__2_acute angels

__0_right angle(s)

_1__obtuse angle

The triangle is _isosceles____and_obtuse____.

Step-by-step explanation:

if this is the right triangle the longest side will be √162≈ 12.7

the longest side is 15 so the vertex angle is obtuse

6 0

3 years ago

C: y=2x+7 D: y= 1/2x+7

CaHeK987 [17]

Remember that if lines are parallel, they will have the same slope. Also, the number added or subtracted in the equation is the y intercept, or the y value when the x=0. They gave you the point (0,-7) so really, they just gave you the y intercept. How nice!! That means you just use the same slope as the original and then add -7 to it to get your equation. With that knowledge, you can now easily identify the correct answer!!

4 0

3 years ago

Is this a polygon or not a polygon

Fantom [35]

This is not a polygon as it has a section (at the bottom) which is composed of non-straight segments.

5 0

3 years ago