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3 years ago

What is a complementary event?

2 answers:

6 0

Two events are said to be complementary when one event occurs if and only if the other does not. The probabilities of two complimentary events add up to 1. For example, rolling a 5 or greater and rolling a 4 or less on a die are complementary events, because a roll is 5 or greater if and only if it is not 4 or less.

Mama L [17]3 years ago

6 0

Answer:

In probability theory, the complement of any event A is the event [not A], i.e. the event that A does not occur. The event A and its complement [not A] are mutually exclusive and exhaustive.

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A rectangular box has a perimeter of 36 inches. Which of the following equations represents the area of the rectangular box in t

densk [106]

The answers is a hope helps

3 0

3 years ago

Two of the golf scores at the local tournament were unreadable, but the mean score was 85 and the lowest score was 75. if the re

Vika [28.1K]

Step-by-step explanation:

Assuming the readable scores are:

100, 82, 95, __ , 90, 81, 75, 83, __

We know the mean (or average) is 85, so:

85 = (100 + 82 + 95 + x + 90 + 81 + 75 + 83 + y) / 9

765 = 606 + x + y

159 = x + y

We know the lowest score is 75, so x and y must be at least 76. Possible answers are:

76 and 83

77 and 82

78 and 81

79 and 80

80 and 79

81 and 78

82 and 77

83 and 76

6 0

3 years ago

10 x 4 ones = how many ones

Alisiya [41]

The product will be 40 I believe?

3 0

3 years ago

It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per nig

Kitty [74]

Answer: No , at 0.05 level of significance , we have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

Step-by-step explanation:

Let $\mu$ denotes the average hours of sleep per night.

As per given , we have

$H_0:\mu=7\\H_a:\mu$

, since $H_a$ is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.

Also , it is given that ,

Sample size : n= 22

Sample mean : $\overline{x}=7.24$

Sample standard deviation : s= 1.93

Test statistic : $t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$

i.e. $t=\dfrac{7.24-7}{\dfrac{1.93}{\sqrt{22}}}\approx0.58$

For significance level $\alpha=0.05$ and degree of freedom 21 (df=n-1),

Critical t-value for left-tailed test= $t_{\alpha, df}=t_{0.05,21}=- 1.7207$

Decision : Since the test statistic value (0.58) > critical value 1.7207, it means we are failed to reject the null hypothesis .

[Note : When $|t_{cal}|>|t_{cri}|$ , then we accept the null hypothesis.]

Conclusion: We have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

6 0

3 years ago

I need help with this one <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20" id="TexFormula1" title=" \frac{1}{3} "

Vanyuwa [196]

To solve this questions, we can turn 2 into a fractions.

2 as a fraction is 2/1 (because 2 divide by 1 is still 2)
We can now use this to get our answer.

1/3 ÷ 2/1
= 1/3 × 1/2 (flip the fraction and then multiply)
= 1/6 (1 x 1 / 3 x 6)

Or 0.16666.. as a decimal

7 0

3 years ago