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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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Phyllis invested 50000 dollars, a portion earning a simple interest rate of 5 percent per year and the rest earning a rate of 7
Elodia [21]

Answer:

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x-----> the amount invested at 5%

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so

t=1\ year\\ I=\$2,720\\r_1=0.05\\r_2=0.07\\P_1=\$x\\P_2=\$(50,000-x)

substitute in the formula above

2,720=x(0.05*1)+(50,000-x)(0.07*1)

solve for x

2,720=0.05x+3,500-0.07x

0.07x-0.05x=3,500-2,720\\0.02x=780\\x=\$39,000

(50,000-x)=\$11,000

therefore

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

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Is 44.11 greater than 44.5
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