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Dovator [93]
3 years ago
10

First person to answer all will earn bristliest

Mathematics
1 answer:
stira [4]3 years ago
8 0
1)  -6y + 17 = 3y - 10

Subtract 3y from both sides.

-6y - 3y + 17 = -10

Subtract 10 from both sides.

-6y - 3y = -12 - 10

Simplify.

-9y = -27

Divide both sides by -9.

y = 3

2)  3x - 32 = -7x + 28

Add 7x to both sides.

3x + 7x - 32 = 28

Add 32 to both sides.

3x + 7x = 28 + 32

Simplify.

10x = 60

Divide both sides by 10.

x = 6

3)  3.2 - 16 = 4a

Simplify.

-12.8 = 4a

Divide both sides by 4.

a = -3.2

4)  16.8 - v = 6v

Add v to both sides.

16.8 = 6v + v

Simplify.

16.8 = 7v

Divide both sides by 7.

v = 2.4

To check all answers, simply plug in the value of the variable that you found, then simplify. 

~Hope I helped!~


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A sample of 15 commuters in Chicago showed the average of the commuting times was 33.2 minutes. If s = 8.3 minutes, find the 95%
OleMash [197]

Answer:

The 95% confidence interval of the true mean.

(29.4261 ,36.9739)

Step-by-step explanation:

<u>Step :- (i)</u>

Given sample size 'n' =15

sample of the mean x⁻ = 33.2

The standard deviation of the sample 'S' = 8.3

<u>95% of confidence intervals</u>

<u></u>(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )<u></u>

<u>Step:-(ii)</u>

<u>The degrees of freedom γ=n-1 = 15-1=14</u>

The tabulated value t = 1.761 at 0.05 level of significance.

now substitute all possible values, we get

(33.2 - 1.761\frac{8.3}{\sqrt{15} } ,33.2+ 1.761\frac{8}{\sqrt{15} } )

After calculation , we get

(33.2-3.7739 , 33.2+3.7739

(29.4261 ,36.9739)

<u>Conclusion</u>:-

the 95% confidence interval of the true mean.

(29.4261 ,36.9739)

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i think it's d

Step-by-step explanation:

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To find slope, use the equation (y2-y1)/(x2-x1). In your case, the equation is going to look like (-3 - -1)/(5 - -2) or (-3 +1)/(5 + 2), and that simplifies to -2/7.
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