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Korolek [52]
3 years ago
14

Find the probability that the hitter makes 10 outs in 10 consecutive​ at-bats, assuming​ at-bats are independent events.​ Hint:

The hitter makes an out
72
72​% of the time.

​P(hitter makes 10 consecutive ​outs)
equals
Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0

Answer:

0.037

Step-by-step explanation:

If the hitter makes an out 72​% of the time, then the probabilty that he makes hit in 1 at-bat is p=0.72 and the probabilty that he doesn't make hit in 1 at-bat is q=1-p=1-0.72=0.28.

The probability that the hitter makes 10 outs in 10 consecutive​ at-bats, assuming​ at-bats are independent events is

P=p^{10}=(0.72)^{10}\approx 0.037.

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he marketing department at an online site wants to identify the average age of its users. a sample of 56 uses is selected. the a
dolphi86 [110]

The range for the average age of all site visitors is found to be between 21.15 and 23.55.

<h3>Define the term confidence interval?</h3>
  • The likelihood that a quantity will fall between two values near the mean is shown by a confidence interval.
  • Confidence intervals quantify how certain or uncertain a sampling technique is.
  • They are also utilized in regression analysis and hypothesis testing.

For the given question;

Confidence interval  CI = 90% = 0.9

Sample size n = 56 users

Mean (x) = 22.5 years years

Standard deviation (s) = 5 years

Then formula for the CI is given as,

CI = x + z.s/√n

The steps included are-

1. Subtract 1 from sample size to get the degree of freedom df:

df = 56 - 1 = 55

2. To get teh alpha level.

α = (1 - 0.9)/2 = 0.05

3: check df and α in t-distribution to get z score.

z = 2.003

4: To get sample size,

S = s/√n

S = 5/√56

S = 0.66

z x S = 0.66 x 2.033 = 1.35

5: To get the lower range subtract 1.35 from sample mean

22.5  -  1.35 = 21.15

6:n  To get the upper range, add t 1.35 from sample mean.

22.5 + 1.35 = 23.55

Thus, the confidence interval is 21.15 and 23.55.

To know more about the confidence interval, here

brainly.com/question/14825274

#SPJ4

4 0
10 months ago
Please help!!! I'll give 25 points plus brainliest.
Vladimir79 [104]

Answer:

(b) 26.6 days

Step-by-step explanation:

Half life, T =  4 days

initial amount, No = 100 mg

(a) The exponential function is given by

N = No e^{-\lambda t}\\\\N = No e^{\frac{-0.693t}{T}}\\\\N = No e^{\frac{-0.693t}{4}}\\\\N = No e^{\frac{-0.17325t}{T}}\\\\

where, N is the amount left.  

(b) N = 1 mg

N = No e^{\frac{-0.17325t}{4}}\\\\1 = 100 e^{\frac{-0.17325t}{4}}\\\\4.605 = 0.17325 t \\\\t=26.6 days

6 0
3 years ago
1. 2 |-9| <br> 2. 4 |-4| <br> 3. 1 |1| <br> 4. 11 |11| <br> 5. 9 |-2|
Zielflug [23.3K]

The absolute value is the distance the number is from zero. For example, the absolute value of -4 is 4 and the absolute value of 4 is 4. Also |-24| is 24.

The absolute value of -9 is 9. 2 times 9 is 18.

The absolute value of -4 is 4. 4 times 4 is 16.

The absolute value of 1 is 1. 1 times 1 is 1.

The absolute value of 1 is 11. 11 times 11 is 121.

The absolute value of -2 is 2. 9 times 2 is 18.

  ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

The opposite of a number is the difference it is from zero but on the other side (opposite sign). For example, the opposite of -5 is 5, and the opposite of 2 is -2.

11 is opposite of -11.

-8 is opposite of 8.

31 is opposite of -31.

-1 is opposite of 1.

-17 is opposite of 17.

  ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

♡ Hope this helped! ♡

❀ 0ranges ❀

6 0
3 years ago
What is the Interquartile Range for the following data set?<br> {5, 6, 7, 3,9,8, 3, 1,6,7,7)
DochEvi [55]

Answer:

sorting, we have 1 3 3 5 6 6 7 7 7 8 9. The middle number is 6. The lower quartile is 3. The upper is 7. 7-3=4.

Step-by-step explanation:

6 0
3 years ago
HELP PLEASE
Jet001 [13]

Answer:

c $11,751

Step-by-step explanation:

The function that models Alicia's car is

f(x) = 21000(0.93)^{x}

where x represents the number of years since she purchased the car.

We want to find the value of Alicia's car after 8 years.

We substitute x=8 into the formula to get:

f(8) = 21000(0.93)^{8}

f(8) = 21000(0.5596)

f(8) = 11751.218

We round to the nearest dollar to get:

f(8) =11751

The correct answer is C.

5 0
2 years ago
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