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Alinara [238K]
3 years ago
11

What are possible values of the number?

Mathematics
1 answer:
klio [65]3 years ago
3 0

Answer:

I think is F

Step-by-step explanation:

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D. f(-3) = 11

Step-by-step explanation:

When f(x) is divided by x+3, you get a quotient g(x) and a remainder of 11:

f(x) / (x + 3) = g(x) + 11 / (x + 3)

Multiply both sides by x+3:

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Substitute -3 for x:

f(-3) = g(-3) (-3 + 3) + 11

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Below, the two-way table is given for a class
Nataliya [291]

Answer:

2/7 = 29% (nearest percent)

Step-by-step explanation:

Calculate the totals and add them to the table:

\begin{array}{| c | c | c | c | c | c |}\cline{1-6} & \sf Freshman & \sf Sophmore & \sf Juniors & \sf Seniors & \sf Total \\\cline{1-6} \sf Male & 4 & 6 & 2 & 2 & 14\\\cline{1-6} \sf Female & 3 & 4 & 6 & 3 & 16\\\cline{1-6} \sf Total & 7 & 10 & 8 & 5 & 30\\\cline{1-6}\end{array}

<u>Probability Formula</u>

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

Let P(A) = probability that the student is a freshman

Let P(B) = probability that the student is male

Use the given table to calculate the probability that the <u>student is male</u>:

\sf \implies P(B)=\dfrac{14}{30}

And the probability that the <u>student is a freshman </u><u>and </u><u>male:</u>

\implies \sf P(A \cap B)=\dfrac{4}{30}

To find the probability that the student owns a credit card given that the they are a freshman, use the conditional probability formula:

<u>Conditional Probability Formula</u>

The probability of A given B is:

\sf P(A|B)=\dfrac{P(A \cap B)}{P(B)}

Substitute the found values into the formula:

\implies \sf P(Freshman|Male)=\dfrac{\dfrac{4}{30}}{\dfrac{14}{30}}=\dfrac{4}{14}=\dfrac{2}{7}=0.28571...=29\%

Therefore, the probability that the student is a freshman given they are male is 29% (nearest percent).

Learn more about conditional probability here:

brainly.com/question/28028208

brainly.com/question/23957743

8 0
1 year ago
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