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Liono4ka [1.6K]
3 years ago
8

How do you solve 5=3x+2y? please help me,this is for a project that's due tomorrow!!

Mathematics
1 answer:
Molodets [167]3 years ago
7 0
I'm not sure if this is what you're looking for, but maybe it will help:
Isolate y for 5=3x+2y

Switch sides:
3x+2y=5

Subtract 3x from both sides:
3x+2y-3x=5-3x

Simplify:
2y=5-3x

Divide both sides by 2:
2y/2 = 5-3x/2

Simplify:
y= 5x-3/2

I hope this helped you! :)
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At a school, 147 students at least play one sport. This is 35% of the students at the school. How many students are at the schoo
steposvetlana [31]
X - S<span>tudents are at the school
</span>
35% * x = 147

\frac{35}{100}x=147 \ |*100\\\\ 35x = 14700 \ | : 35\\\\ x=420

Answer = 420


3 0
3 years ago
The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of cos
madreJ [45]

Answer:

F=\frac{s^2_2}{s^2_1}=\frac{5.4}{2.3}=2.348

p_v =2*P(F_{15,15}>2.348)=0.109

And we can use the following excel code to find the p value:"=2*(1-F.DIST(2.348,15,15,TRUE))"

Since the p_v > \alpha we have enough evidence to FAIL to reject the null hypothesis. And we can say that we don't have enough evidence to conclude that the variation is different between the two groups at 10% of significance.  

Step-by-step explanation:

Assuming the following question :"The accounting department analyzes the variance of the weekly unit costs reported by two  production departments. Asample of 16 cost reports for each of the two departments shows  cost variances of 2.3 and 5.4, respectively. Is this sample sufficient to conclude that the two  production departments differ in terms of unit cost variance? Use α= .10."

Data given and notation  

n_1 = 16 represent the sampe size for sample 1

n_2 =16 represent the sample size for sample 2

s^2_1 = 2.3 represent the sample variance for sample 1

s^2_2 = 5.4 represent the sample variance for sample 2

\alpha=0.1 represent the significance level provided

Confidence =0.9 or 9%

F test is a statistical test that uses a F Statistic to compare two population variances, with the sample deviations s1 and s2. The F statistic is always positive number since the variance it's always higher than 0. The statistic is given by:

F=\frac{s^2_2}{s^2_1}

Solution to the problem  

System of hypothesis

We want to test if the variation is equal for both groups or no, so the system of hypothesis are:

H0: \sigma^2_1 = \sigma^2_2

H1: \sigma^2_1 \neq \sigma^2_2

Calculate the statistic

Now we can calculate the statistic like this:

F=\frac{s^2_2}{s^2_1}=\frac{5.4}{2.3}=2.348

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have n_2 -1 =16-1=15 and for the denominator we have n_1 -1 =16-1=15 and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

P value

Since is a bilateral test the p value is given by

p_v =2*P(F_{15,15}>2.348)=0.109

And we can use the following excel code to find the p value:"=2*(1-F.DIST(2.348,15,15,TRUE))"

Conclusion

Since the p_v > \alpha we have enough evidence to FAIL to reject the null hypothesis. And we can say that we don't have enough evidence to conclude that the variation is different between the two groups at 10% of significance.  

4 0
3 years ago
The total cost of the movie and theater rental is $ 1,500. what equation shows the how the the cost per student depends on the n
marishachu [46]
If n is the number of students who attend,

then cost per student = $ 1500/n
3 0
3 years ago
THe square root of 10 x 15 x 24 is
Dmitry_Shevchenko [17]

\large\blue\implies \tt \large \: \sqrt{10 \:  \times  \: 15 \:  \times  \: 24}

\large\blue\implies \tt \large \: \sqrt{150 \:  \times  \: 24}

\large\blue\implies \tt \large \: \sqrt{3600}

\large\blue\implies \tt \large \: \sqrt{3600}  \:  =  \: 60

\large\blue\implies \tt \large \:60

8 0
1 year ago
Mean,median,mode,and range of 4,8,6,2,0,3,7,5,8,2mean,median,mode,and range of 4,8,6,2,0,3,7,5,8,2.
sergiy2304 [10]

Mean: 4.5

Median: 4.5

Mode: 8, 2, each appeared 2 times

Range: 8

------------------------------------------------------------------

Put the numbers in order: 0, 2, 2, 3, 4, 5, 6, 7, 8, 8

To find the mean you must add up all the numbers (0+2+2+3+4+5+6+7+8+8). then divide the total (45) to the total of numbers there are (10)

To find the range you must subtract 8-0 (or add 8+0) and get 8.

Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers. Note that when calculating the median of a finite list of numbers, the order of the data samples is important.

5 0
3 years ago
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