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3 years ago

Please help me! and explanation on how you got it please

Mathematics

1 answer:

Igoryamba3 years ago

5 0

Answer:

Step-by-step explanation:

This is a right angled triangles and the summation of the other two angles must equal 90°

OR you can also say that the summation of all the angles in a ∆ must give us 180°

Therefore (2x+14) + (4x-26) = 90°

Expanding... By collecting all like terms, we have

2x+4x+14-26-90 = 0

6x - 102° = 0

Therefore, 6x = 102

x = 102/6

x = 17°

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Answer:

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3 years ago

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2 years ago

In a random sample of 400 residents of Boston, 320 residents indicated that they voted for Obama in the last presidential electi

coldgirl [10]

Answer:

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Step-by-step explanation:

Given that:

Let consider a random sample n = 400 candidates where 320 residents indicated that they voted for Obama

probability $\hat p = \dfrac{320}{400}$

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= 5%

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The objective is to develop a 95% confidence interval estimate for the proportion of all Boston residents who voted for Obama.

The confidence internal can be computed as:

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$=0.8 \pm 1.960 \sqrt{\dfrac{ 0.8(1-0.8)}{400 } }$

$=0.8 \pm 1.960 \sqrt{\dfrac{ 0.8(0.2)}{400 } }$

$=0.8 \pm 1.960 \sqrt{\dfrac{ 0.16}{400 } }$

$=0.8 \pm 1.960 \sqrt{4 \times 10^{-4}}$

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$=0.8 \pm 0.0392$

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