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atroni [7]
3 years ago
15

Solve each equation with the quadratic formula. 4n^2+7n-1=-4

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0
The answer i got was
n=-3/4,n=-1
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During a period of 11 years 737737 of the people selected for grand jury duty were​ sampled, and 6868​% of them were immigrants.
Galina-37 [17]
The formula to set out the lower and the upper margin of a confidence interval when given the proportion (no standard deviation) is

Lower margin = p - Z* √[(pq) ÷ n]
Upper margin  = p + Z* √[(pq) ÷ n]

Where:
p is the sample proportion
q is 1 - p
Z* is the z-score for the confidence level
n is the number size
--------------------------------------------------------------------------------------------------------------

p = (68% of 737) ÷ 737 = 501.16 ÷ 737 = 0.68
q = 1 - p = 1 - 0.68 = 0.32
Z* = 2.58 (refer to the table attached below)
n = 737 

substituting these values into the formula, we have

lower margin = 0.68 - (2.58) √[(0.68×0.32) ÷ 737]
lower margin = 0.68 - (2.58) √(0.0002952510176...)
lower margin = 0.68 - 0.04433180431
lower margin = 0.6357 (rounded to four decimal places)
lower margin = 63.57%

upper margin = 0.68 + 0.04433180431
upper margin = 0.7243 (rounded to four decimal places)
upper margin = 72.43%

The confidence interval is between 63.57% and 72.43%. In other words, we can say that between 63.57% and 72.43% of jury members are immigrant. 

The claim of 69.46% is within the confidence interval, hence we can conclude that the selection of grand jury duty is not biased against the immigrant. 



8 0
3 years ago
Please help 100 points.​
IceJOKER [234]

Answer:

76 square feet

Step-by-step explanation:

surface area = 2(wl + hl + hw)      w=width     h=height       l=length

surface area = 2(5*4 + 2*4 + 2*5)

surface area = 2(20 + 8 + 10)

surface area = 2(38)

surface area = 76 square feet

7 0
3 years ago
Read 2 more answers
What is the value of X when y=1
user100 [1]

Answer:

1x

Step-by-step explanation:

8 0
2 years ago
4) How many total hours does Terry work for the week if she works 3 hrs.
Juliette [100K]

Answer:

32 hours and 55 minutes

5 0
2 years ago
The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. What ar
Degger [83]

Answer:

The minimum value of the bill that is greater than 95% of the bills is $37.87.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 28, \sigma = 6

What are the minimum value of the bill that is greater than 95% of the bills?

This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 28}{6}

X - 28 = 6*1.645

X = 37.87

The minimum value of the bill that is greater than 95% of the bills is $37.87.

4 0
3 years ago
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