Ask question

Ask question

All categories

4 years ago

11

Enter the degree of the polynomial below: 9x^3 + 3x^8 + 6x^7 + 5x^6 - 7x^5

1 answer:

Tems11 [23]4 years ago

6 0

The degree is 8 ( the value of the highest exponent).

You might be interested in

Use the function below to find F(2).<br> F(t) = 2•1/2^3t

navik [9.2K]

Answer:

$F(2)= \frac{1}{32}$

Step-by-step explanation:

The given function is

$F(t) = 2 \cdot \: \frac{1}{{2}^{3t} }$

To find F(2), we substitute t=2 into the function.

This means that wherever we see t, we put 2

$F(2) = 2 \cdot \: \frac{1}{{2}^{3 \times 2} }$

We multiply the exponent in the denominator to get:

$F(2) = 2 \cdot \: \frac{1}{{2}^{6} }$

We evaluate to get:

$F(2) = 2 \cdot \: \frac{1}{64}$

We now cancel the common factors to get:

$F(2) = \frac{1}{32}$

6 0

3 years ago

An economist uses the price of a gallon of milk as a measure of inflation. She finds that the average price is $3.82 per gallon

salantis [7]

Answer:

(a) The standard error of the mean in this experiment is $0.052.

(b) The probability that the sample mean is between $3.78 and $3.86 is 0.5587.

(c) The probability that the difference between the sample mean and the population mean is less than $0.01 is 0.5754.

(d) The likelihood that the sample mean is greater than $3.92 is 0.9726.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the distribution of sample mean is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

The information provided is:

$n=40\\\mu=\$3.82\\\sigma=\$0.33$

As <em>n</em> = 40 > 30, the distribution of sample mean is $\bar X\sim N(3.82,\ 0.052^{2})$ .

(a)

The standard error is the standard deviation of the sampling distribution of sample mean.

Compute the standard deviation of the sampling distribution of sample mean as follows:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

$=\frac{0.33}{\sqrt{40}}\\\\=0.052178\\\\\approx 0.052$

Thus, the standard error of the mean in this experiment is $0.052.

(b)

Compute the probability that the sample mean is between $3.78 and $3.86 as follows:

$P(3.78$

$=P(-0.77$

Thus, the probability that the sample mean is between $3.78 and $3.86 is 0.5587.

(c)

If the difference between the sample mean and the population mean is less than $0.01 then:

$\bar X-\mu_{\bar x}$

Compute the value of $P(\bar X$ as follows:

$P(\bar X$

$=P(Z$

Thus, the probability that the difference between the sample mean and the population mean is less than $0.01 is 0.5754.

(d)

Compute the probability that the sample mean is greater than $3.92 as follows:

$P(\bar X>3.92)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{3.92-3.82}{0.052})$

$=P(Z$

Thus, the likelihood that the sample mean is greater than $3.92 is 0.9726.

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B1%7D%7B5%7D%20%29%20%7B%7D%5E%7Bx%7D%20%3D%20125" id="TexFormula1" title="( \f

anzhelika [568]

Well we know that... $a^{-1}=\frac{1}{a^{1} }\\$ .

So... $(\frac{1}{5})^{-1}=\frac{1}{\frac{1}{5}^{1}}=5\\\\$ .

Because $5^{3}=125$ ,

$\frac{1}{5}^{-1*3}=125\\ x=-1*3=-3$

answer: -3

8 0

3 years ago

If you ask the first 50 females who enter a restaurant to complete a survey about their experience, who is the sample?

Anettt [7]

Answer:

the first girl

Step-by-step explanation:

because the first girl to take the survey is a sample but the rest that follows are just extras(can i get brainliest pls)

6 0

3 years ago

Read 2 more answers

How do you make a table for a function whose graph has a y-intercept of 4 and a slope of 2

ch4aika [34]

Point of Y intercept is (0,4)
Y1-Y2=m(X1-X2)
Plug in x,y into X2, Y2 m=slope

y-4=2(x-0)
y-4=2x
y=2x+4
Table
Plug in for x and y
x. y
0. 4
1. 6
2. 8

7 0

3 years ago