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Alexxandr [17]
3 years ago
11

tell how to get the variable to be on one side of the equation by itself. 6n=72. 6=1.2a. 21/2x = 15 please explain

Mathematics
2 answers:
Vikki [24]3 years ago
7 0

#1 divide by 6n to both sides to get n by itself

#2 multiply both sides by 6/5a to get a by itself

#3 multiply both sides by 2/5x to get x by itself


When you have whole numbers (no decimals) you can divide. When you have numbers with decimals, convert them to fractions and multiply by the reciprocal to get the variable by itself.

skelet666 [1.2K]3 years ago
7 0
1.) you have to divide 6 on both sides to get the n by itself and it'll equal n=12.
2.) divide 1.2 on both sides and you'll get a=5
3.) divide 2.5 on both side and you'll get x=6
You might be interested in
A simple random sample of months of sales data provided the following information: Month Units Sold a. Develop a point estimate
Gnom [1K]

Answer:

a) X[bar]=93

b)S=5.39

Step-by-step explanation:

Hello!

<em>A simple random sample of 5 months of sales data provided the following information: Month: 1 2 3 4 5 Units Sold: 94 100 85 94 92 </em>

<em />

<em>a. Develop a point estimate of the population mean number of units sold per month. </em>

The variable of interest is:

X: Number of sales per month.

A random sample of n=5 months was taken, for each month, the number of units sold was recorded. To calculate the mean of the sample you have to add all the observed frequencies (Units Sold) by the sample size (n)

X[bar]= ∑X/n= 465/5=93

You can say that, on average, 93 units were sold over the 5-month period.

<em>b. Develop a point estimate of the population standard deviation.</em>

To calculate the sample standard deviation you have to calculate the variance and then its square root:

S^2= \frac{1}{n-1}[sumX^2-\frac{(sumX)^2}{n} ]

∑X= 465

∑X²= 43361

S^2= \frac{1}{4}[43361-\frac{(465)^2}{5} ]= 29

S= √29= 5.385≅ 5.39

I hope this helps!

3 0
3 years ago
A piece of paper is four over one thousand inches thick so how many sheets of paper will it take to make a stack 1 inch high
trasher [3.6K]
Keep doing 4 over 1000 until the four reaches the 1000. If four does not go into 1000, then reduce the fraction 4/1000.
6 0
3 years ago
Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to b
Alina [70]

Answer:

Null hypothesis = H₀ = There food preferences among vole species are independent of one another.

Alternate hypothesis = H₁ = There is a relationship between voles and food preference.

Expected meadow vole/apple slices = 29.983051

Expected common vole/apple slices = 28.016949

Expected meadow vole/peanut butter-oatmeal = 31.016949

Expected common vole/peanut butter-oatmeal = 28.983051

Chi-square value = χ² = 2.154239

Degree of freedom = 1

Critical value = 3.841

χ² < Critical value

We failed to reject H₀

We do not have significant evidence at the given significance level to show that there is a relationship between voles and food preference.

Step-by-step explanation:

He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the apple slices.

So he conducted a study where he used a peanut butter-oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different voles.

Null hypothesis = H₀ = There food preferences among vole species are independent of one another.

Alternate hypothesis = H₁ = There is a relationship between voles and food preference.

Data collected by Dr. Pagels:

                                              meadow voles     common voles      Row Total

apple slices                                     26                          32                      58

peanut butter-oatmeal                   35                          25                     60

Column Total                                   61                          57                     118

Where 118 is the grand total.

The expected number is given by

Expected = (row total)×(column total)/grand total

Expected meadow vole/apple slices = 58×61/118

Expected meadow vole/apple slices = 29.983051

Expected common vole/apple slices = 58×57/118

Expected common vole/apple slices = 28.016949

Expected meadow vole/peanut butter-oatmeal = 60×61/118

Expected meadow vole/peanut butter-oatmeal = 31.016949

Expected common vole/peanut butter-oatmeal = 60×57/118

Expected common vole/peanut butter-oatmeal = 28.983051

The chi-square statistic value is given by

χ² = Σ(Observed - Expected)²/Expected

χ² = (26 - 29.983051)²/29.983051 + (32 - 28.016949)²/28.016949 + (35 - 31.016949)²/31.016949 + (25 - 28.983051)²/28.983051

χ² = 2.154239

The degrees of freedom is given by

DoF = (row - 1)×(col - 1)

For the given case, we have 2 rows and 2 columns

DoF = (2 - 1)×(2 - 1)

DoF = 1

The given level of significance = 0.05

The critical value from the chi-square table at α = 0.05 and DoF = 1 is found to be

Critical value = 3.841

Conclusion:

Reject H₀ If χ² > Critical value

We reject the Null hypothesis If the calculated chi-square value is more than the critical value.

For the given case,

χ² < Critical value

We failed to reject H₀

We do not have significant evidence at the given significance level to show that there is a relationship between voles and food preference.

8 0
3 years ago
Please help me asap :(
kirza4 [7]

Answer:

I think D

Step-by-step explanation:

8 0
3 years ago
The perimeter of the square is equal to the perimeter of the triangle. What are the side lengths of each figure? square: ? units
blsea [12.9K]

Answer:

<em>Square= 12 units</em>

<em>Triangle long sides= 19 units</em>

<em>Triamgle short side= 10 units</em>

Step-by-step explanation:

<em>It is a square, so all sides are the same.  That means 3x+3 equals 4x.  What number can be subsituted into x to equal 4?  If x is 3, then 3x+3 would be 3(3)+3.  It equals 12.  4 times 3 is also 12.  It works!  That also means the square's side is 12 units.</em>

<em>Square= 12 units</em>

<em />

<u><em>So, x=3</em></u>

<em />

<em>The triangle's longer sides are 7x-2.  Subsitute x in, which is 3, and you get 7(3)-2.  It equals 19.  The two longer sides of the triangle are the same length, so both are 19 units.</em>

<em>Triangle long sides= 19 units</em>

<em />

<em>The triangles shorter side is 2x+4.  Subsitute 3 in for x and you get 2(3)+4.  It equals 10, so the shorter side is 10 units.</em>

<em>Triangle short side= 10 units</em>

7 0
3 years ago
Read 2 more answers
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