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-Dominant- [34]
3 years ago
15

1.94x - 10/8x + 4.32 = [2(1.15x+8.5)]

Mathematics
1 answer:
kipiarov [429]3 years ago
8 0
1,94x-\frac{10}{8}x+4,32=[2(1,15x+8,5)]\\\\
1,94x-1,25x+4,32=2,3x+17\\\\
0,69x+4,32=2,3x+17\ \ \ |Subtract\ 2,3x\\\\
-1,61x+4,32=17\ \ \ |Subtract\ 4,32\\\\
-1,61x=12,68\ \ \ |Divide\ by\ -1,61\\\\\boxed{x\approx7,9}

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Igoryamba
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A Toyota prius drove 208 miles on 5 gallons of gas. how far should it be able to go on a full 11 gallon tank?
JulsSmile [24]

Answer:

457.6 miles

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8 0
3 years ago
Read 2 more answers
In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear pow
leva [86]

Answer:

The test statistic z = z = 2.368 >1.97 (at 5% level of significance)

we rejected null hypothesis at 5% level of significance

There is  significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

Step-by-step explanation:

Given data In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 63 of 100 urban residents

The first sample proportion  p₁ = \frac{63}{100} =0.63

The construction of  59 of 125 suburban residents are in favor

The second  sample proportion p_{2} = \frac{59}{125}  = 0.472

Given the sample sizes are n₁ = 100 and n₂ =125

<u>Null hypothesis(H₀):</u>-there is no significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

<u>Alternative hypothesis: H₁</u>

There is  significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

<u>Level of significance</u>:-

∝ =0.05

Tabulated value z=1.96

<u>Test statistic</u>

<u></u>z = \frac{p_{1}-p_{2}  }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }<u></u>

where p = \frac{n_{1}p_{1} +n_{2}p_{2}  }{n_{1} +n_{2} }         q = 1- p

Substitute all values in above equation

p = \frac{100X0.63+0.472X125}{100+125} = 0.542

q = 1-p = 1 - 0.542 = 0.458

The test statistic

z = \frac{0.63-0.472}{\sqrt{0.542X0.458}(\frac{1}{100}+\frac{1}{125}   )}

on simplification , we get

z = 2.368 >1.97 (at 5% level of significance)

we rejected null hypothesis at 5% level of significance

<u>Conclusion</u>:-

There is  significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

8 0
3 years ago
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rewona [7]

Answer:

The answer is 15 ft.

Step-by-step explanation:

I hope this helps

5 0
3 years ago
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olchik [2.2K]
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5 0
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