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dimulka [17.4K]
3 years ago
13

Write an algebraic expression for the given quantity. Let x represent the unknown value. One-eight of the sum of a number and th

ree. The algebraic expression for the given quantity is ___
Mathematics
1 answer:
Mashcka [7]3 years ago
7 0

<u>Answer: </u>

Required expression for one-eight of the sum of a number and three is \frac{x}{8} + 3

<u>Solution: </u>

Given that unknown value is represented by variable x.

Need to create algebraic expression for One-eight of the sum of a number and three.

Let’s first find one eight of the number that is 1/8th of x = \frac{x}8}

Now on adding three we get  

\frac{x}{8} + 3

Hence required expression for one-eight of the sum of a number and three is \frac{x}{8} + 3

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Suppose that the sample standard deviation was s = 5.1. Compute a 98% confidence interval for μ, the mean time spent volunteerin
NISA [10]

Answer:

The 95% confidence interval would be given by (5.139;5.861)  

Step-by-step explanation:

1) 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 represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

2) Confidence interval

Assuming that \bar X =5.5 and the ranfom sample n=1086.

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=1086-1=1085

Since the Confidence is 0.98 or 98%, the value of \alpha=0.02 and \alpha/2 =0.01, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,1085)".And we see that t_{\alpha/2}=2.33

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

5.5-2.33\frac{5.1}{\sqrt{1086}}=5.139    

5.5+2.333\frac{5.1}{\sqrt{1086}}=5.861

So on this case the 95% confidence interval would be given by (5.139;5.861)    We are 98% confident that the mean time spent volunteering for the population of parents of school-aged children is between these two values.

5 0
3 years ago
-4/7p + (-2/7p) +1/7
sesenic [268]

Answer:

-6/7p+1/7

Step-by-step explanation:

5 0
3 years ago
Which number should come next in the series? 13, 57, 911, 1315, 1719?
DiKsa [7]

Answer:

2123

like 1+4=5

3+4=7

Step-by-step explanation:

All odd numbers beginning from one, in a series.

Also: Starting with 13, add 4 to each digit separately, and continue adding 4 to the result.

6 0
2 years ago
Read 2 more answers
(F x G)(x)<br> F(G(x))<br> G[F(x)]<br> F[G(x)]<br> G(F(x))
pentagon [3]

The results of the composite functions are:

  • (f \times g)(x) = 6x^2-9x
  • f(g(x)) = 6x - 3
  • g(f(x)) = 6x - 9

<h3>What are composite functions?</h3>

Composite functions are functions that are obtained by combining two or more functions together

Assume that:

  • f(x) = 2x - 3
  • g(x) = 3x

Then the computation of the composite functions are as follows:

<h3>Function (f * g)(x)</h3>

(f \times g)(x) = f(x) \times g(x)

(f \times g)(x) = (2x-3) \times (3x)

(f \times g)(x) = 6x^2-9x

<h3>Function f(g(x))</h3>

We have: f(x) = 2x - 3

This gives

f(g(x)) = 2g(x) - 3

So, we have:

f(g(x)) = 2(3x) - 3

f(g(x)) = 6x - 3

<h3>Function g(f(x))</h3>

We have: g(x) = 3x

This gives

g(f(x)) = 3f(x)

So, we have:

g(f(x)) = 3(2x - 3)

g(f(x)) = 6x - 9

Read more about composite functions at:

brainly.com/question/10687170

4 0
2 years ago
What is 30 divided into 896
a_sh-v [17]

Answer:

Math answers to fraction 896 divided by 30 can be calculated as follows.

896/30 math problems division = 29.8666666667. Therefore 29.8666666667 to 2 decimal places= 29.87

896/30 divided by 2 » (896/30) ÷ 2 » 29.8666666667 ÷ 2 = 14.9333333333 .

8 0
3 years ago
Read 2 more answers
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