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4 years ago

115% of what number is 120?

Mathematics

2 answers:

Oksi-84 [34.3K]4 years ago

7 0

115% of x =120

115/100*x=120

23/20*x=120

23/20=120/x

x=20*120/23

x=104,34

antiseptic1488 [7]4 years ago

4 0

115% is the same as 1.15
some number = x

115% of some number is 120
1.15 of x is 120
1.15 * x = 120
$\frac{1.15*x}{1.15} = \frac{120}{1.15}$
x = 104.3478
x ≈ 104.3

Hope this helps! :)

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3 years ago

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:

Step :- (i)

Given sample size 'n' =15

sample of the mean x⁻ = 33.2

The standard deviation of the sample 'S' = 8.3

95% of confidence intervals

$(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )$

Step:-(ii)

The degrees of freedom γ=n-1 = 15-1=14

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)

Conclusion:-

the 95% confidence interval of the true mean.

(29.4261 ,36.9739)

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