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Radda [10]
3 years ago
10

In sample of 200 economists, 147 choose the FRED database as the most popular economic database. Calculate the margin of error f

or a 97% confidence interval.
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
5 0

Answer: 0.9577

Step-by-step explanation:

Formula for margin of error (E):

E= z^*\sqrt{\dfrac{p(1-p)}{n}} , where p = sample proportion, n =sample space, z* critical z-value.

Given: n= 200

p=\dfrac{147}{200}

Critical value for 97% confidence level = 2.17

Margin of error (E) = 2.17\sqrt{\dfrac{147}{200}(1-\dfrac{147}{200})}

=2.17\sqrt{\dfrac{147}{200}(\dfrac{53}{200})}\\\\=2.17\times \sqrt{0.194775}\\\\=2.17\times0.441333207452\approx0.9577

Hence, the margin of error for a 97% confidence interval = 0.9577

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What is the solution to the equation P over 9= 72?
Fed [463]
P / 9 = 72

Multiply both sidess by 9

P / 9 (9) = 72 (9)

p = 648

4 0
3 years ago
Someone please help and show work
aleksklad [387]

Answer:

a) 4x^{6}

b) 2w^{4}

Step-by-step explanation:

a) multiply the coefficients and add the exponents

(4)(1) · x^{3+3} = 4x^{6}

b) divide the coefficients and subtract the exponents

(14 ÷ 7) · w^{6-2} = 2w^{4}

4 0
3 years ago
What is the leading coefficient of the polynomial when written in standard<br> form?<br> 872 +9+ 5x
lianna [129]

Answer:

5

Step-by-step explanation:

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3 0
3 years ago
6:20=9:x=x:10=x:60=16:x=12:x
ivolga24 [154]

6:20=9:30=3:10=18:60=16:160/3=12:40

Step-by-step explanation:

The question requires you to find value of x in the ratios given;

Start with the first pair

6:20 = 9:x

6/20 =9/x

6x=20*9

6x=180

x=180/6=30 ⇒⇒ 6:20 = 9:30

The second pair after replacing the value of x=30 will be

9:30 = x:10

9/30=x/10

90=30x

90/30 =x

3=x⇒⇒ 9:30 = 3:10

The third pair after replacing value of x=3 will be

3:10 =x:60

3/10 =x/60

180=10x

180/10 =x

18=x ⇒⇒ 3:10 = 18:60

The fourth pair after replacing value of x=18 will be;

18:60 = 16:x

18/60 = 16/x

18x=16*60

x= (16*60)/18 =160/3

x= 160/3  ⇒⇒⇒ 18:60 = 16: 160/3

The firth pair after replacing value of x=160/3 will be;

16: 160/3 =12:x

16x= 160/3 *12

16x = 160 * 4

x= (160 *4 )/16

x=40

⇒⇒ 16: 160/3 = 12: 40

Learn More

Ratios and proportions :brainly.com/question/9512748

Keywords : ratio, value of x, proportion

#LearnwithBrainly

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The answer is B. 16.8

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