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2 years ago

Which algebraic expression represents “ six less than a number “

Mathematics

2 answers:

nevsk [136]2 years ago

7 0

Answer:

x-6

Step-by-step explanation:

i believe this is correct.

Sloan [31]2 years ago

4 0

X - 6 is th algebraic expession for six lss than a number. x represents the number and you are taking 6 away from it. This is the basis of all algebra

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A team of runners is needed to run a 1/4 mile relay race. If each runner must run 1/16 mile how many runners will be needed?

myrzilka [38]

The answer is 4. If the relay is 1/4 mile, and each person runs 1/16 mile, then to get the answer you divide 1/4 by 1/6 and get 4. 4 people would be needed to run this relay. Hope this helps! :)

7 0

3 years ago

Read 2 more answers

What is the rate of change of the function?

scoundrel [369]

Answer:

rate of change = 3

Step-by-step explanation:

to find the rate of change $\frac{y1 - y2}{x1 - x2}$

(0,-4) (1,-1)

$\frac{-4+1}{0-1}$ = $\frac{-3}{-1}$ = 3

7 0

3 years ago

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4(9) - 2(7-3)^2 thanks if u help

MariettaO [177]

Answer:

Step-by-step explanation:

$36 -2(4)^{2}$

$36 - 2 \times 16$

$36 - 32$

$4$

7 0

3 years ago

What is the MAD of this numbers?

Stella [2.4K]

We know that
The MAD is the mean absolute deviation of the data

step 1
To find the mean absolute deviation of the data, start by finding the mean of the data set.
Find the sum of the data values, and divide the sum by the number of data values
sum of the data values=[130+150+190+100+175+120+165+140+180+190]
sum of the data values=1540
number of data=10
Mean=1540/10-----> 154

step 2
Find the absolute value of the difference between each data value and the mean: |data value – mean|.
 |130 – 154|=24
|150 – 154|=4
|190 – 154|=44
|100 – 154|=54
|175 – 154|=21
|120 – 154|=34
|165 – 154|=11
|140 – 154|=14
|180 – 154|=26
|190 – 154|=44

step 3
Find the sum of the absolute values of the differences.
=[24+4+44+54+21+34+11+14+26+44]------> 276

step 4
Divide the sum of the absolute values of the differences by the number of data values.
276/10-----> 27.6

the answer is
27.6

5 0

3 years ago

A random sample of the costs of repair jobs at a large muffler repair shop produces a mean of $127.95. and a standard deviation

lubasha [3.4K]

Answer:

$127.95-1.685\frac{24.03}{\sqrt{40}}=121.55$

$127.95 +1.685\frac{24.03}{\sqrt{40}}=134.35$

So on this case the 90% confidence interval would be given by (121.55;134.35)

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".

$\bar X=127.95$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=24.03 represent the sample standard deviation

n represent the sample size

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)

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

$df=n-1=40-1=39$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,39)".And we see that $t_{\alpha/2}=1.685$

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

$127.95-1.685\frac{24.03}{\sqrt{40}}=121.55$

$127.95 +1.685\frac{24.03}{\sqrt{40}}=134.35$

So on this case the 90% confidence interval would be given by (121.55;134.35)

8 0

2 years ago