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Whitepunk [10]
2 years ago
12

A coin is thrown 3 times. What is the probability that at least one head is thrown?.

Mathematics
2 answers:
zvonat [6]2 years ago
3 0

Answer:7/8

A coin is tossed 3 times. The probability of getting at least one head is 7/8.

swat322 years ago
3 0

Answer:

1/3

Step-by-step explanation:

1 head,3 times

probability 1/3

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4. Find the surface area. Help me please
pogonyaev

Step-by-step explanation:

2πrh+2πr²=surface area

2π(3)(6)+2π(3²)

36π+18π

54π

8 0
3 years ago
Evelyn wants to estimate the percentage of people who own a tablet computer she surveys 150 indvidals and finds that 120 own a t
igomit [66]

Answer:

The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%

Step-by-step explanation:

Confidence interval for the proportion of people who own a tablet:

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:

n = 150, \pi = \frac{120}{150} = 0.8

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.576.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.7159

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.8841

Percentage:

Multiply the proportion by 100.

0.7159*100 = 71.59%

0.8841*100 = 88.41%

The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%

8 0
3 years ago
Simplify the expression if possible 4^3 × 4^5 and write you answer as a power ( using exponents )
alexgriva [62]

Answer:

4^8

Step-by-step explanation:

If you are multiplying two bases that are the same with different exponents, the exponents get added and the base stays the same:

x^a*x^b=x^{a+b}\\\\4^3*4^5=4^{3+5}\\\\4^3*4^5=4^8

Therefore, 4^3 * 4^5 = 4^8

3 0
2 years ago
A radio station uses 1/6 of its time for news in a 12 hours day how many hours are used for news?
Verdich [7]

Answer:

2 hours

Step-by-step explanation:

we know that

To find the number of hours that are used for news, multiply the total time by the fraction 1/6

so

12(1/6)=2 hours

6 0
4 years ago
F(x) = -4x + 15 g(x) = 7x^3 Find (f-g)(2)
djyliett [7]

(f-g)(2)=f(2)-g(2)

Therefore, find f(2) and g(2) first before subtracting.

f(x)=-4x+15

Therefore,

f(2)=-4(2)+15\\f(2)=-8+15\\f(2)=7

Then find g(2)

g(x)=7x^3\\g(2)=7(2)^3\\g(2)=7(8)\\g(2)=56

Then put f(2) to subtract g(2)

f(2)-g(2)=7-56\\f(2)-g(2)=-49

Therefore, the answer is (f-g)(2) = -49.

4 0
3 years ago
Read 2 more answers
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