All categories

3 years ago

B+3/b/3/b find the quotient. Simplify your answer

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

6 0

Dividing by 3/b is the same as multiplying by b/3. So, we have

$\dfrac{b+3}{b}\div\dfrac{3}{b}=\dfrac{b+3}{b}\cdot \dfrac{b}{3}=\dfrac{b+3}{3}$

You might be interested in

The sum of 5 times a number and 16 is 31.<br> What is the number? <br> Enter your answer in the box.

agasfer [191]

Answer:

I will do a step by step explanation to help you.

First, subtract 16 from 31 so you can simplify what you need to find. We will call the unknown number X. So 5x = 15

15/5 = 3 so X = 3

Lets plug in X

3 x 5 + 16 = 31

Makes sense!

Hope this helps

8 0

3 years ago

Read 2 more answers

The cost of Internet access. How much do users pay for Internet service? Here are the monthly fees (in dollars) paid by a random

Ivanshal [37]

Answer:

$20.9-2.01\frac{7.65}{\sqrt{50}}=18.73$

$20.9+2.01\frac{7.65}{\sqrt{50}}=23.07$

The 95% confidence interval would be given by (18.73;23.07)

Step-by-step explanation:

Assuming these data

20 40 22 22 21 21 20 10 20 20

20 13 18 50 20 18 15 8 22 25

22 10 20 22 22 21 15 23 30 12

9 20 40 22 29 19 15 20 20 20

20 15 19 21 14 22 21 35 20 22

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

First we need to find the sample mean with the following formula:

$\bar X= \frac{\sum_{i=1}^n X_i}{50}=20.9$

And in order to find the sample standard deviation we can use the following formula:

$s= \sqrt{\frac{\sum_{i=1}^n (x_i -\bar x)^2}{n-1}}=7.65$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=50-1=49$

Since the Confidence is 0.95or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$

Now we have everything in order to replace into formula (1):

$20.9-2.01\frac{7.65}{\sqrt{50}}=18.73$

$20.9+2.01\frac{7.65}{\sqrt{50}}=23.07$

So on this case the 95% confidence interval would be given by (18.73;23.07)

8 0

3 years ago

Alana makes and sells homemade bracelets. She made a profit of $65 last week. This week, she donated some bracelets to charity.

yuradex [85]

Answer:

$65 + $(-25) = $40

$65 - $25 = $40

Step-by-step explanation:

Profit made last week = $65

Profit made this week = - $25

Addition expression for her profit over the two weeks

Last week profit + this week's profit:

$65 + $(-25) = $40

Subtraction expression for her profit over the two weeks :

$65 - $25 = $40

5 0

3 years ago

the prices of three types of pens for eight 7 and $5 respectively a teacher paid 1 $60 for 22 pens find the number of pens that

nevsk [136]

Answer:65

Step-by-step explanation:

4 0

3 years ago

Find the missing length

Oksi-84 [34.3K]

Answer:

Last one

Step-by-step explanation:

8 0

3 years ago