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4 years ago

2√18 - 2√12 + 2√18 = A) 6√2 - 4√3 B) 12√2 - 4√3 C) 6√2 D) 12√2

Mathematics

2 answers:

Angelina_Jolie [31]4 years ago

6 0

Answer:

Your answer is 12√2 - 4√3

Step-by-step explanation:

anyanavicka [17]4 years ago

3 0

Answer:

2√18 - 2√12 + 2√18 =

A) 6√2 - 4√3

 B) 12√2 - 4√3 

C) 6√2

D) 12√2

Step-by-step explanation:

2sqrt18-2sqrt18=4sqrt18

4sqrt18-2sqrt12=

4sqrt18=12sqrt

2sqrt12=4sqrt3

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grigory [225]

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3 years ago

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:

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

Probability Formula

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

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 student is male:

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

And the probability that the student is a freshman and male:

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

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

Conditional Probability Formula

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:

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2 years ago

Gabriel is raising money for a school trip by selling lollipops and bags of chips. The price of each lollipop is $1 and the pric

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4 years ago

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3 years ago

A rope is 60 m long a ratio of 7:8 how long is each piece

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Answer:

60m and 67.9m

Step-by-step explanation:

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3 years ago