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Slav-nsk [51]
3 years ago
14

What is the solution to the equation?

Mathematics
2 answers:
stepan [7]3 years ago
7 0
The answer is c) -3
AlekseyPX3 years ago
6 0

Answer:

C) -3

Step-by-step explanation:

-\frac{5x}{3} + 8 = 13

-\frac{5x}{3} = 5

-5x = 15

x = -3

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For which value of k does the system has no solutions?
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Answer:

The answer to this question is 4

Step-by-step explanation:

5 0
2 years ago
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Help!! Find the value of x.
Rainbow [258]

Answer:

x = -10

Step-by-step explanation:

x + 75 + x + 125 = 180

2x + 200 = 180

2x = -20

x = -10

(In this problem a negative number is okay because the end value will be a whole number still.)

8 0
3 years ago
Solve the equation <br> -4+-1+2+.....+x=437
aliina [53]
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3 years ago
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The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv
Rina8888 [55]

Answer:

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

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=14.42 represent the sample mean

\mu population mean (variable of interest)

\sigma=6.95 represent the population standard deviation

n=36 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

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: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

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

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

5 0
3 years ago
Samantha is making a quilt and she has determined she needs 450 square inches of yellow fabric and 478
asambeis [7]

Conversions:

1 yard = 36 inches

The store only sells fabric by the by the quarter yard.

<h2><u><em>The yellow fabric: 450/36 = 12.5 square yards</em></u></h2><h2><u><em>The blue fabric: 478/36 is around 13.3 square yards</em></u></h2>

Total Amount: 12.5+13.3=

<h2><u><em>25.8 square yards</em></u></h2>

7 0
2 years ago
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