63 divided by 5 = 12 R 3 as a fraction

A rectangle has a height of 4 and a width of x2 + 3x + 2.

Mumz [18]

Question:

A rectangle has a height of 4 and a width of x² + 3x + 2. Express the area of the entire rectangle.

Given:

The height of the rectangle is 4.

The width of the rectangle is $x^2+3x+2$

We need to determine the area of the entire rectangle.

Area of the entire rectangle:

Let us determine the area of the entire rectangle.

The area of the rectangle can be determined using the formula,

$A=height \times width$

Substituting height = 4 and width = $x^2+3x+2$

Thus, we get;

$A=4(x^2+3x+2)$

Multiplying the terms by 4, we get;

$A=4x^2+12x+8$

Thus, the area of the entire rectangle is $4 x^{2}+12 x+8$

6 0

4 years ago

Which integer is square root 6 closest to

11Alexandr11 [23.1K]

The square root of 6 is 2.449...
and that is closest to 3

3 0

3 years ago

PLEASE HELP ME

BigorU [14]

The coordinates of the image after a rotation 90° clockwise about the origin and then a dilation with a scale factor of 3 are: (3, -3), (12, -9), and (3, -15).

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

In Mathematics, rotating a point 90° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (y, -x).

By applying a rotation of 90° clockwise to triangle JKL, the coordinate of the image of triangle J'K'L' is given by:

(x, y) → (y, -x)

Points at J = (1, 1) → Points at J' = (1, -(1)) = (1, -1)

Points at K = (3, 4) → Points at K' = (4, -(3)) = (4, -3).

Points at L = (5, 1) → Points at L' = (1, -(5)) = (1, -5).

Next, we would dilate triangle JKL by multiplying with a scale factor of 3:

Points at J' = (1 × 3, -1 × 3) = (3, -3)

Points at K' = (4 × 3, -3 × 3) = (12, -9)

Points at L' = (1 × 3, -5 × 3) = (3, -15)

Read more on rotation here: brainly.com/question/28515054

#SPJ1

4 0

1 year ago

A bag contains 6 red marbles, 3 blue marbles and 8 green marbles. If three marbles are drawn out of the bag, what is the probabi

ale4655 [162]

This is a 4 step problem.

Find the probability of drawing a green marble the first time

8 green marbles ÷ 17 total marbles

Next, we find the probability of drawing a green marble the second time

7 green marbles ÷ 16 total marbles

Find the probability of drawing a green marble the third time

6 green marbles ÷ 15 total marbles

We take away one from the total marbles and green marbles each time because we are finding the probability that we draw a green marble all three times

Last step:

Multiply all the probabilities

$\frac{8}{17}$ × $\frac{7}{16}$ × $\frac{6}{15}$

The final answer is 7/85 or an 8% chance

If you were curious, the decimal version of this answer is 0.08235294

3 0

4 years ago

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chan

Iteru [2.4K]

Complete Question

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 12%. There is only a 52% chance that she will find a tutor at such short notice

a What is the probability that Christine fails the course

b Christine ends up failing the course. What is the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability

Answer:

a

$P(F) = 0.264$

b

$P(T | F ) = 0.23636$

Step-by-step explanation:

From the question we are told that

The probability that Christine will fail the course if she does not have a tutor is $P(F| T') = 0.42$

The probability that Christine will fail the course if she has a tutor is $P(F| T) = 0.12$

The probability that she will find a tutor is $P(T) = 0.52$

Generally the probability that she will not find a tutor is

$P(T') = 1 - 0.52$

=> $P(T') = 0.48$

Generally the probability of failing the course is

$P(F) = P(F \ n \ T) + P(F \ n \ T')$

=> $P(F) = P(F| T) * P(T) + P(A | T') * P(T')$

=> $P(F) = 0.12 * 0.52 + 0.42* 0.48$

=> $P(F) = 0.264$

Generally if Christine ends up failing the course the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability is mathematically represented as

$P(T | F ) = \frac{ P(F | T) * P(T)}{ P(F)}$

=> $P(T | F ) = \frac{ 0.12 * 0.52}{ 0.264}$

=> $P(T | F ) = 0.23636$

5 0

3 years ago