Rewrite the following equation in slope-intercept form. 17x

A box contains four red balls and eight black balls. Two balls are randomly chosen from the box, and are not

castortr0y [4]

P(B) = 8/12

P(R | B) = 4/11

P(B ∩ R) = 8/33

The probability that the first ball chosen is black and the second ball chosen is red is about 24% percent

Solution:

The probability is given as:

$Probability = \frac{\text{number of favorable outcomes}}{\text{total number of possible outcomes}}$

Given that,

A box contains four red balls and eight black balls

Red = 4

Black = 8

Total number of possible outcomes = 12

Let event B be choosing a black ball first and event R be choosing a red ball second.

$P(B) = \frac{8}{12}$

$P(B n R) = P(B) \times P(R)\\\\P(B n R) = \frac{8}{12} \times \frac{4}{11}\\\\P(B n R) = \frac{8}{33}$

<h3>Find P(R | B)</h3><h3> $P(R | B) = \frac{P(R n B)}{P(B)}\\\\P(R | B) = \frac{\frac{8}{33}}{\frac{8}{12}}\\\\P(R | B) = \frac{8}{33} \times \frac{12}{8}\\\\P(R | B) = \frac{4}{11}$ </h3>

The probability that the first ball chosen is black and the second ball chosen is red is about percent

$\frac{8}{33} \times 100 = 0.24 \times 100 = 24 \%$

Thus the probability that the first ball chosen is black and the second ball chosen is red is about 24% percent

4 0

4 years ago

SAT math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114.

nadezda [96]

Hey there mate :)

Analysis :

$401 = 515 - 114 = u - 6$

And

$173 = 515 - 3.114 = u - 36$

$= \frac{p(u - 36 < u < u + 36) - p(u - 6 < u < u + 6)}{2}$

$= \frac{99.73percent - 68.21percent}{2}$

$= \frac{31.46percent}{2}$

$= {15.73percent}$

Then, calculating,

$u - 26 = 515 - 2 \times 114 = 287$

And

$u + 26 = 515 + 2 \times 114 = 743$

Then,

$The \: Range = (287,743)$

Final Answers :-

15.73 %

(287,743)

~Benjemin360

3 0

3 years ago

Select the correct answer.

vampirchik [111]

C is when both are negative

4 0

3 years ago

Read 2 more answers

the bakery bought 4 bags of flour containing 3.5 kg each. 0.475 kg of flour is needed to make a batch of muffins, and 0.65 kg is

GalinKa [24]

The left out amount of floor is $\boxed{\bf8.85\,\,{\text{kilogram}}}$ .

Further explanation:

The weight of one bag of flour is 3.5 kg.

The bakery bought 4 bags of flour.

Therefore, the total weight of 4 bags is calculated as follows:

$4\times\left({3.5\,\,{\text{kg}}}\right)=14\,\,{\text{kg}}$

The weight of flour needed for a batch of muffins is 0.475 kg.

Therefore, the weight of flour needed for 4 batches of muffins is calculated as follows:

$4\times\left({0.475\,\,{\text{kg}}}\right)=1.9\,\,{\text{kg}}$

The weight of flour needed for a loaf of bread is 0.65 kg.

Therefore, the weight of flour needed for 5 loaves of bread is calculated as follows:

$5\times\left({0.65\,\,{\text{kg}}}\right)=3.25\,\,{\text{kg}}$

So, the total weight of floor used in the process of making muffins and loaves of bread is calculated as follows:

$3.25\,\,{\text{kg+}}1.9\,\,{\text{kg}}=5.15\,\,{\text{kg}}$

Now, the weight of floor that is left out in the bag is calculated as follows:

$14\,\,{\text{kg}}-5.15\,\,{\text{kg}}=8.85\,\,{\text{kg}}$

Thus, the left out amount of floor is $\boxed{\bf8.85\,\,{\text{kilogram}}}$ .

Learn more:

1. Write an algebraic expression for the following word phrase the quotient of r and 12https://brainly.com/question/1600376

2. What is 20÷2(5+5) brainly.com/question/365957

3. Ten hundredths in standard formhttps://brainly.com/question/228852

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Basic Algebra

Keywords:

Bakery, bags, flour, 3.5 kg, muffins, bread, loaf, loaves, kilograms, kg, share, subtract, equally, 8.85 kg, weight, bought

5 0

4 years ago

Find the values of a and b that complete the mapping diagram.

Rufina [12.5K]

Value of a and b that completes the mapping diagram will be a=0 and b=1

• Mapping diagram simply means a function that has a special type of relation where the elements of the domain are paired with that of the range.

• Mapping diagram consists of two parallel columns, the first column depicts the domain of the function whereas the second column depicts the range.

• Lines are drawn from first column to second column i.e. from domain to range, to represent the relation between 2 elements.

• Mapping is quite similar to making a flowchart, showing input and output values.

• Point to be noted that every mapping is a relation but every relation is not a mapping.

Value of a and b that completes the mapping diagram will be a=0 and b=1

Learn more about mapping

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#SPJ9

6 0

1 year ago

Rewrite the following equation in slope-intercept form. 17x – 7y = 19 I need help with this