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liubo4ka [24]
3 years ago
14

In the upcoming election for governor, the most recent poll, based on 900 respondents, predicts that the incumbent will be reele

cted with 55 percent of the votes. What is σrhoˆ? .00825 .0166 .0247 .0003
Mathematics
1 answer:
kvv77 [185]3 years ago
6 0

Answer:

Option B is correct.

0.0166 is correct.

Step-by-step explanation:

The σrho is the standard error of the sample proportion and it is given as

σₓ = = √[p(1-p)/n]

where p = sample proportion = 55% = 0.55

n = sample size = 900

σₓ = = √(0.55×0.45/900) = 0.016583124 = 0.0166 to 3 s.f.

Hope this Helps!!!

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The diagram shows a 9cm x 7cm rectangle-based pyramid. all the diagonal sides - TA, TB, TC, AND TD- are length 12cm. M is the mi
lakkis [162]

Answer:

∠TAC is approximately equal to 61.6°

Step-by-step explanation:

The given parameters for the pyramid are;

The dimension for the rectangular base are; Length = 9 cm, width = 7 cm

The length of the diagonal sides, TA, TB, TC, and TD = 12 cm each

The midpoint of the rectangular base = Point M

The diagonal AC = AM + MC

AM = MC as given M is the midpoint of the rectangular base

∴ AC = AM + MC = 2·AM

By Pythagoras' theorem, AC = √(9² + 7²) = √130

AC = √130 cm

∴ AM = AC/2 = (√130)/2 cm

Alternatively, AM = √((9/2 cm)² + (7/2 cm)²) = √(32.5) cm

∠TAC = ∠TAM

By trigonometric ratios, we have;

cos (\theta) = \dfrac{Length \ of \ adjacent \ side \ to \ angle }{Length \ of \ hypotenuse\ side \ to \ angle}

\therefore cos (\angle TAM) = cos (\angle TAC) =  \dfrac{\left (\dfrac{\sqrt{130} }{2}   \right )}{12} = \dfrac{\sqrt{130} }{2 \times 12} = \dfrac{\sqrt{130} }{24}

\angle TAC = arccos \left ( \dfrac{\sqrt{130} }{24} \right ) \approx  61.6 ^{\circ} \ to 1 \ decimal \ place

6 0
3 years ago
Sarah cuts a piece of rope that is 4.5 feet long.
icang [17]

Answer:

4.5 feet = 1.5 yards

Step-by-step explanation:

1 yard equals 3 feet

Then:

1 ----- 3

x -----4.5

x = 4.5/3 = 1.5 yards

Hope this helps

3 0
2 years ago
For the function f(x) = –(x + 1)^2 + 4, identify the vertex, domain, and range.
olga_2 [115]
B; you can graph the function on a graphic calculator or use algebra find each of the desired aspects
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3 years ago
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When a number is increased by 40 % it gives 84. Find the original number
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I believe the answer is $33.60?
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Here are four questions A) 2/5 B) 2/3 C) 1/4 D) 1/10 put them in order
lara [203]

Answer:

1/10, 1/4, 2/5, 2/3.

Step-by-step explanation:

Convert the fractions into decimals.

2/5 = 0.4

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Arrange from smallest to largest.

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Change back to fraction form.

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