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KiRa [710]
3 years ago
9

15/4 improper fraction to whole number

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0

Answer:

The answer is 3

Step-by-step explanation:

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A study of recent records of car accidents revealed that average proportion of drivers who were distracted by their phones at th
aksik [14]

Answer:

At least 547 records need to be studied.

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 interval 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}.

And the margin of error is:

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

95% confidence interval

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.

In this problem, we have that:

M = 0.04, p = 0.35

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

0.04 = 1.96\sqrt{\frac{0.35*0.65}{n}}

0.04\sqrt{n} = 0.93486

\sqrt{n} = 23.37

n = 546.2275

At least 547 records need to be studied.

6 0
3 years ago
Solve this system of equations by converting the equations into slope-intercept form. How many solutions does this system have?
Alex777 [14]
<h3>Answer: -3x-3y=-30= x=−y+10  </h3><h3>x+y+10= x=−y+10</h3>

8 0
2 years ago
The school sold $6000 worth of tickets. Adult tickets were seven dollar and children’s tickets were three dollars. Three times a
padilas [110]

Answer:

1,500 tickets in total (375 adult tickets and 1,125 children tickets)

Step-by-step explanation:

Let x be the number of adult tickets sold.

Three times as many children tickets were sold as adults, so 3x is the number of children tickets sold.

Children tickets were three dollars, so 3x children tickets cost \$3\cdot 3x=\$9x.

Adult tickets were seven dollar, so x adult tickets cost \$7\cdot x=\$7x.

The school sold $6000 worth of tickets.

Hence,

9x+7x=6,000\\ \\16x=6,000\\ \\x=\dfrac{6,000}{16}=375\\ \\3x=1,125\\ \\x+3x=375+1,125=1,500

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3 years ago
A hostess earned a 5% tip. What decimal is equivalent to 5%?
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Answer:

.05 is the equivalent of 5 percent.

Step-by-step explanation:

5 0
2 years ago
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Joe won a lottery jackpot that will pay him $12000.00 eachyear
geniusboy [140]

Answer:

$3863.68

Step-by-step explanation:

Please see attachment

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