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AleksAgata [21]

3 years ago

9

4 times a number cubed decreased by 7... write an algebraic expression

1 answer:

Lostsunrise [7]3 years ago

3 0

Your answer is: 4x³-7

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In a class of 28 students, 11 have a brother and 9 have a sister. There are 2 students

Westkost [7]

Answer:

$\displaystyle P(A\mid B)=\frac{2}{11}$

Step-by-step explanation:

<u>Conditional Probability</u>

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event B has occurred, then the probability that event A occurs is given by:

$P(A\mid B)={\frac {P(A\cap B)}{P(B)}}$

Where $P(A\cap B)$ is the probability that both events occur and P(B) is the probability that B occurs.

Let's define events A and B for the question. There are 11 students that have a brother and 9 that have a sister. Two of those students have a brother and a sister.

We are given the fact that the selected student has a brother: this is the event that has already occurred, thus:

B = A student has a brother

A = A student has a sister

The probability that a student has a brother is:

$\displaystyle P(B)=\frac{11}{28}$

The probability that the student has a brother and a sister is:

$\displaystyle P(A\cap B)=\frac{2}{28}$

Thus, the conditional probability is:

$P(A\mid B)={\frac {\frac{2}{28}}{\frac{11}{28}}}$

Simplifying:

$\mathbf{\displaystyle P(A\mid B)=\frac{2}{11}}$

4 0

3 years ago

17 more than twice p

Studentka2010 [4]

Answer:

2p+17

Step-by-step explanation:

This is a vague question, but I believe it is an expression translation.

More means add, twice means multiplied by 2, and p is a variable

7 0

3 years ago

If ∠C and ∠D are vertical angles and m∠C=x and m∠D=−3x+80, what is m∠C?

Rufina [12.5K]

Vertical angles are equal to each other, so:

$x=-3x+80

4x=80

\tfrac{80}{4} = x

x=20$

7 0

3 years ago

Question 5<br> Work out 524 + 344 =

Rainbow [258]

Answer:

868

Step-by-step explanation:

5 2 4

+ 3 4 4

------------

4 + 4 = 8

5 2 4

+ 3 4 4

------------

8

2 + 4 = 6

5 2 4

+ 3 4 4

------------

6 8

5 + 3 = 8

5 2 4

+ 3 4 4

------------

8 6 8

524 + 344 = 868

Hope this helps.

3 0

4 years ago

Read 2 more answers

If (x+2),3x and (4x+1)are in AP find the value of x

Gala2k [10]

Answer:

<u>x</u><u> </u><u>is</u><u> </u><u>3</u>

Step-by-step explanation:

${ \bf{U _{2} - U _{1} = U _{3} -U _{2} }}$

${ \tt{3x - (x + 2) = (4x + 1) - 3x}} \\ { \tt{2x - 2 = x + 1}} \\ { \tt{x = 3}}$

8 0

3 years ago