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Brums [2.3K]
3 years ago
13

Algebra 2 Piece-wise functions!!

Mathematics
1 answer:
svetlana [45]3 years ago
6 0

It's A.

1. The closed circle connects to the x≥1 function, so that rules out B and C.

2. The x≥1 piece has a positive slope on the graph, so that rules out D.

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Franchise Business Review stated over 50% of all food franchises earn a profit of less than $50,000 a year. In a sample of 130 c
nydimaria [60]

Answer:

We need a sample size of 564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

\pi = \frac{81}{130} = 0.6231

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.

We need a sample size of n

n is found when M = 0.04

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.6231*0.3769}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.6231*0.3769}

\sqrt{n} = \frac{1.96\sqrt{0.6231*0.3769}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.6231*0.3769}}{0.04})^{2}

n = 563.8

Rounding up

We need a sample size of 564.

4 0
3 years ago
How to find the area?
Novay_Z [31]
2*l*w+2*l*h+2*w*h plug in then solve
8 0
4 years ago
ILL GIVE YOU BRAINLIST !!!
Alecsey [184]

Answer:

-\frac{15}{16}

Step-by-step explanation:

\frac{1}{4} ^{2}= \frac{1}{16}

2*(pq)= 2(\frac{1}{6})= \frac{1}{3}

-3q^{2}= -3(\frac{4}{9} )= -\frac{4}{3}

\frac{1}{16} +\frac{1}{3}-\frac{4}{3}=

\frac{1}{16} -1=

-\frac{15}{16}

4 0
3 years ago
A pelican is flying 120 feet above sea level. The pelican dives to catch a fish that is 35 feet below sea level. Which number re
sergiy2304 [10]

Answer:

155

Step-by-step explanation:

Remember that below sea level means negative. So 120-(-35)=155

I hope this helps! :)

8 0
3 years ago
A CD usually sells for $14.00. If the CD is 10% off, and sales tax is 6%, what is the total price of the CD, including tax?
Vikki [24]
10% of 14 =1.4
14-1.4=12.6
6% of 14=0.84
12.6+0.84= 13.45
7 0
3 years ago
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