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3 years ago

Five times the quotient of y and 7

Mathematics

2 answers:

mixas84 [53]3 years ago

7 0

Answer:

5(y / 7)

Step-by-step explanation:

A quotient is the answer to a division problem. This tells us that y and 7 are being divided.

So far we have the number y/7 (We have seen no need to add the parenthesis yet because we still need to multiply our number by 5

Five times this quotient (y/7) can be represented by 5*, because the quotient of our division problem is being multiplied by 5.

This leads you to a correct answer of 5(y/7)

OLga [1]3 years ago

6 0

Answer:

5(y / 7)

Step-by-step explanation:

A quotient is the answer to a division problem. This tells us that y and 7 are being divided.

We have (y / 7) so far.

Five times this quotient (y / 7) can be represented by 5*, as the quotient is being multiplied by 5.

The final expression can be shown as: 5(y / 7).

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2 years ago

You picked one marble out of a bag that contains 6 red marbles, 5 white marbles, and 3 blue marbles. Find p(red and blue).

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2 years ago

Required information An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiv

Natasha2012 [34]

Answer:

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

Step-by-step explanation:

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".

$\bar X=652.6$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=311.7 represent the sample standard deviation

n=50 represent the sample size

Soltuion 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)

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 0.95 or 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):

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

6 0

3 years ago

I need all these before the morning!! For 20 points

Marta_Voda [28]

Answer:

15) Option B. 3

16) Option H. 144

17) Option B. -21

18) Option H. a^4 + 2

19) Option E. -18

20) Option G. 60

Step-by-step explanation:

15) 217/4 = 54 with a remainder of 1

217 = 4 ⋅ 54 + 1

So, the 217th digit after the decimal point of 0.3456 is one of the 4n+1st digits (with n=54) and must be 3.

16) a = 1/2, p = 1/16 * 48^2

= 144cm^2

17) when you solve the equation x^2 + 4x - 21 = 0 you get two solutions.

one is x = 3 and the second one is x = -7. The question is asking for the product so you will multiply these two x values. 3 * -7 = -21.

18) the factors of a^16 - 16 are: (a^8 + 4) (a^4 + 2) (a^4 -2)

Out of these factors that we get, (a^4 + 2) is the only polynomials listed in the answer choices.

19) 2n - 5 / n when n = 1/4

= 2(1/4) - 5 / 1/4

= -18

20) The machine is reading 40 pages in 1 hour, how many will it read in 90 minutes?

So, there are 60 minutes in an hour and the machine is reading 40 pages in 60 minutes. Meaning it is reading 20 pages in half an hour. So 20 + 20 = 40, so we are correct, the machine is indeed reading 20 pages in 30 mins. 90-60 mins = 30 mins.

How many pages is it reading in 30 mins? 20 right. So 40 + 20 = 60

The machine will read 60 pages in 90 mins.

5 0

2 years ago

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The class has 14 boys, 12 girls, and one teacher. What is the ratio boys to girls?

Ilya [14]

7:6, unless it wants it simplified to decimals

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3 years ago

Five times the quotient of y and 7​

Five times the quotient of y and 7