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Darya [45]
3 years ago
5

Enter the simplified version of the expression

Mathematics
1 answer:
lilavasa [31]3 years ago
3 0
657 because it is answer
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A single die is rolled one time. Find the probability of rolling a number greater than 4 or less than 3.
Vika [28.1K]

<u>Answer: </u>

The probability of rolling a number greater than 4 or less than 3 is \frac{2}{3}

<u>Solution: </u>

In the given question there are two events as follows:

(a) Rolling a number greater than 4 i.e. A = {5,6}

(b) Rolling a number less than 3 i.e. B = {1,2}

Since a die has 6 numbers,

 P(A) = \frac{2}{6} where P(A) is the probability of occurrence of event A and P(B) = \frac{2}{6}

Since, Event A and Event B has nothing in common therefore they are mutually exclusive events.

P(A∪B) = P(A) + P(B)

=\frac{2}{6}+\frac{2}{6}

=\frac{4}{6}

=\frac{2}{3}

Therefore the probability of getting a number greater than 4 or less than 3 is \frac{2}{3}

7 0
3 years ago
A recent national survey found that high school students watched an average (mean) of 7.8 movies per month with a population sta
notka56 [123]

Answer:

Step-by-step explanation:

Given that :

Mean = 7.8

Standard deviation = 0.5

sample size = 30

Sample mean = 7.3 5.4772

The null and the alternative hypothesis is as follows;

\mathbf{ H_o: \mu  \geq  7.8}

\mathbf{ H_1: \mu  <  7.8}

The test statistics can be computed as :

z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{7.3- 7.8}{\dfrac{0.5}{\sqrt{30}}}

z = \dfrac{-0.5}{\dfrac{0.5}{5.4772}}

z = - 5.4772

The p-value at  0.05 significance level is:

p-value = 1- P( Z < -5.4772)

p value = 0.00001

Decision Rule:

The decision rule is to reject the null hypothesis if  p value is less than 0.05

Conclusion:

At  the 0.05 significance level,  there is sufficient information to reject the null hypothesis. Therefore ,we  conclude that college students watch fewer movies a month than high school students.

8 0
3 years ago
80 points!!!!
Dvinal [7]

Answer:

nty

Step-by-step explanation:

3 0
2 years ago
C•C (c=4) evaluating expressions
bearhunter [10]

Answer:

16

Step-by-step explanation:

if c = 4, then

(c)(c) = 16

if I misinterpreted your equation, please tell me.

5 0
2 years ago
Evaluate the expression a2+6ab for a=−3 and b=4.
inn [45]
First you plug in the variables:

(-3)(2)+(6)(-3)(4)

Multiply:
-6+(-18)(4) 
-6+-72

Add and your answer comes out to be:
-78

5 0
3 years ago
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