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2 years ago

What is the probability of rolling two dices whose sum is prime

1 answer:

7 0

The logic is there are six sides to each die, so for each number on one die you can pair with six different numbers on the other die. Therefore, the probability of rolling a prime number on two dice is 15/36, which reduces to 5/12.

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Rewrite this radicand as two factors, one of which is a perfect square. √60

Sphinxa [80]

Answer:

√4 * √15.

Step-by-step explanation:

√60

=√(4 * 15)

= √4 * √15

5 0

3 years ago

Read 2 more answers

Multiply or divide the following expression: Reduce all answers to lowest terms. Factor the following completely.

Semmy [17]

A function assigns the values. The value of f(-3) and f(3) + f(-3) is 8 and -8, respectively.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the function f(x)=-x²-4x+5, therefore, the value of f(x) when the value of x is -3 is,

f(-3) = -(-3)² - 4(-3) + 5

f(-3) = -9 + 12 + 5

f(-3) = 8

Now, the value of f(x) when the value of x is 3 is,

f(3) = -(3)²-4(3)+5

f(3) = - 9 - 12 + 5

f(3) = -16

further, the value of f(3) + f(-3) is,

f(3) + f(-3) = -16 + 8

f(3) + f(-3) = -8

Hence, the value of f(-3) and f(3) + f(-3) is 8 and -8, respectively.

Learn more about Function:

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7 0

2 years ago

Supposed charity received a donation of $23.9 million. If this represents 54% of the charity donated funds what is the total amo

Tanzania [10]

Total amount of funds is $44.26 million.

Step-by-step explanation:

Given,

Donation received = $23.9 million

As it represents 54% of charity.

Let,

Total amount = x

Therefore,

54% of x = 23.9 million

$\frac{54}{100}*x=23.9\\0.54x=23.9$

Dividing both sides by 0.54

$\frac{0.54x}{0.54}=\frac{23.9}{0.54}\\x=\$44.26\ millions$

Total amount of funds is $44.26 million.

Keywords: percentage, division

Learn more about percentages at:

#LearnwithBrainly

8 0

3 years ago

A farmer performs an experiment to find the amount of fertilizer needed to increase crop yields. She uses different

Ksenya-84 [330]

Answer:

Step-by-step explanation:

6 0

3 years ago

Test the claim that the proportion of people who own cats is larger than 40% at the 0.025 significance level. The null and alter

Alecsey [184]

Answer:

H 0 : p ≤ 0.4 H a : p > 0.4

And based on the alternative hypothesis we can conclude that we have a right tailed test

Step-by-step explanation:

Data given

n=300 represent the random sample size

$\hat p=0.45$ estimated proportion of people with cats

$p_o=0.40$ is the value that we want to test

$\alpha=0.025$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Null and alternative hypothesis

We want to test if the true proportion of people with cats is higher than 0.4, so then the best alternative is:

Null hypothesis: $p\leq 0.4$

Alternative hypothesis: $p > 0.4$

H 0 : p ≤ 0.4 H a : p > 0.4

And based on the alternative hypothesis we can conclude that we have a right tailed test

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.45 -0.4}{\sqrt{\frac{0.4(1-0.4)}{300}}}=1.768$

5 0

2 years ago