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Nuetrik [128]
3 years ago
6

✓ 10

Mathematics
1 answer:
liraira [26]3 years ago
7 0

Answer:

Decrease in dollars is $555.00, $6845.00 was in his account at the end of last year.

Step-by-step explanation:

7400 times 7.5/100

=74 times 7.5

=$555.00

7400-555=$6845.00

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(a) A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of 1200 regist
Sladkaya [172]

Answer:

n=9604

Step-by-step explanation:

1) Notation and definitions

X=620 number of people that would vote for the Republican candidate

n=1200 random sample taken

\hat p=\frac{620}{1200}=0.517 estimated proportion of people that would vote for the Republican candidate

p true population proportion of people that would vote for the Republican candidate

Me= 0.01 represent th margin of error.

Confidence =0.95 or 95%

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1- p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

The problem says that we need to use \hat p =0.05, and replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.96})^2}=9604  

And rounded we have that n=9604

6 0
3 years ago
The expression 2x2 + 12x + 10 represents a bird's height, in feet, x seconds after it leaves its nest,
marusya05 [52]
The answer is A. You add the extra 10 feet to however high the bird flew from there
8 0
3 years ago
PLEASE HELP ASAP 5TH GRADE
natka813 [3]

Answer:

The answer would be B.

Step-by-step explanation:

Hope this helps.

5 0
3 years ago
Bob wants to play a game in which each player gets 3 cards. He has a total of 22 cards. How many people can play? How many cards
Norma-Jean [14]

Step-by-step explanation:

no. of players = 22/3 = 7 remainder 1

therefore, 7 people can play, and 1 card remaining

3 0
3 years ago
D. 9x-X+5x =260<br> Bx= 200
yan [13]

Answer:

We first must solve for x

9x-x+5x=260\\13x=260\\x=30

When we have x, we put it in to the second equation

Bx=200\\\\B=\frac{200}{x} \\\\B=\frac{200}{30}\\\\B=\frac{20}{3}

8 0
2 years ago
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