In a certain Algebra 2 class of 28 students, 14 of them play basketball and 7 of them
play baseball. There are 2 students who play both sports. What is the probability tha
a student chosen randomly from the class plays basketball or baseball?

Answer:

discrete?

according to probability of basic things we know that there are more people different than same so there is more than enough probability of those sizes being discrete.

An expression given is to subtract a – b – c from the sum of 3a – 2b + 4c and 3b – 2c .

An expression in math is known to be the putting together of numbers, variables, etc.

For the expression above,

(3a - 2b + 4c) + (3b - 2c) - (a - b - c)

Therefore:

= 3a - 2b + 4c + 3b - 2c - a + b + c

The answer will be = 2a + 2b + 3c

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Answer:

1. Find the prime factorization of each number.

2. Write each number as a product of primes, matching primes vertically when possible.

3. Bring down the same numbers in each column and the remaining numbers in each column.

4. Multiply the factors to get the LCM.

for example the lcm of 24 and 36

= 24 = (2 × 2 × 2 × 3) = 2^3 × 3^1

 and 36 = (2 × 2 × 3 × 3) = 2^2 × 3^2

LCM(24, 36) = 2^2 × 3 × 2 × = 72

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They are written in term of power to the base of a function. The value of n that will make both expression equal is 2/9

They are written in term of power to the base of a function. Given the expression below:

[tex]216^{n-2}=\frac{1}{36}^{3n}[/tex]

This can be further simplified as:

[tex]6^3^{n-2}=(6^{-2})^{3n}\\6^{3n-2}=6^{-6n}[/tex]

Cancel the base to have:

3n-2 = -6n
3n+6n = 2

9n = 2

n = 2/9

Hence the value of n that will make both expression equal is 2/9

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Contain B holds 750 mL and container A holds 350 mL. Then contain B holds more amount than container A.

Conversion means to convert the same thing into different units.

Let container A contains 350 milliliters.

Let container B contains 0.75 liters.

The conversion of liters to milliliters will be given below.

1 liter = 1000 milliliters

Then we have

Container A = 350 mL

Container B = 0.75 x 1000 = 750 mL

Then the contain B holds 750 mL and the container A holds 350 mL.

Then contain B holds more amount than container A.

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Answer:

90 degree counter clockwise rotation about the origin
reflect across the x-axis

Step-by-step explanation:

Answer:

The slope of the line is option B

Answer:

2

5

Step-by-step explanation:

fraction of girls in the class is 6

5

so........the total number of girls is 6 and only 2 are chosen,meaning you have to subtract 2 from 6 which is 4 and then 4

10(total number of students) is

2

5 when simplified

Answer:

3/4 is your fraction because 3 out of the four sections gives you the bear

Step-by-step explanation:

Answer:

[tex]l(\widehat {ST})=6\pi [/tex]

Step-by-step explanation:

The required length of an arc ST is 6π units which is subtended by an angle.

The arc is a portion of the circumference of a circle.

The formula for calculating the arc states that:

Arc length = 2πr (θ/360)

Where r = the radius of the circle,

θ = the angle (in degrees) subtended by an arc at the center of the circle.

As per the question, we have:

θ = 90° and r = 12 units

Substitute the given values in the formula,

Arc length = 2π(12) (90/360)

Arc length = 6π

Therefore, the required length of an arc ST is 6π units.

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Answer:

See below

Step-by-step explanation:

Use protractor to measure the UNmarked angle (approx 135 degrees)

    then subtract this value from 360 degrees to find the angle in question

Answer:

155

Step-by-step explanation:

Solution

[tex]\sqrt{155} *\sqrt{155}[/tex] is the same thing as [tex]\sqrt{155}^2[/tex], when we square a square root, we get the number that's inside the radical.

Given this method, we can easily say that [tex]\sqrt{155} * \sqrt{155}[/tex] is just [tex]155[/tex].

Another way:

Answer:

155.

Step-by-step explanation:

By the definition of a square root the answer is 155.

Answer:

15 is the correct and answer mark me brainiest

Step-by-step explanation:

Well its because they added 2 3 4 now 5

Answer:

14

Step-by-step explanation:

there is difference 1 3 there is difference of 1 and 3 6 there is difference of 2 and 6 10 there is difference of 3 and there will be difference of 4

[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]

Answer:

Step-by-step explanation:

A is 3 You have to minus Clares age by two to get Mary's age

B is 1 You have to divide the price in half

C is 2 the only one left

Answer:

2 : 3

Step-by-step explanation:

Given :

Solving :

8 red cards have been removed from the pack.

So, now the ratio is :

Answer:

$40.80.

Step-by-step explanation:

60 - 0.20*60

= 60 - 12

= $48

48 - 48*0.15

= 48 - 7.20

= $40.80.

Answer:

$450

Step-by-step explanation:

Let E be the amount of money Ethan starts with, J be the amount Jun Wei starts with, and R be the amount Raj starts with. Let M be the total amount of money to start with.

To start:

[tex]E:J:R = 5:6:9[/tex]

This means Ethan has 5/20 of M, the money to start with. This reduces to 1/4 of M.

Afterwards:

[tex](E-50):J:R = 3:4:6[/tex]

This means Ethan has 3/13 of the remaining money (which is M-50!) after giving up 50. So

E = (M/4), or 4E = M

and

[tex](E - 50) = 3/13 * (M - 50)[/tex]

We know 4E = M, so we can substitute that in:

[tex](E - 50) = 3/13 * (4E - 50)E - 50 = (12/13)E - 150/13E - 650/13 = (12/13)E - 150/13(1/13)E = 500/13E = 500[/tex]

That's how much money Ethan had to start with. But we're asked how much he has AFTER giving $50 away, so that's $450.

The probability that a bottle on the line is defective and removed is 0.27 and the probability that a bottle on the line is defective and not removed is 0.03

The given parameters are:

The probability that a bottle on the line is removed if defective is:

P = P(Defective) * P(Remove)

This gives

P = 30% * 0.9

Evaluate

P = 0.27

Hence, the probability that a bottle on the line is defective and removed is 0.27

This probability is represented as:

Defective and Not removed

It is calculated as:

P = P(Defective) * P(Not Remove)

Using the complement rule, the probability that a defective bottle would not be removed is:

P(Not Remove) = 1- P(Remove)

P(Not Remove) = 1 - 0.9 = 0.1

So, we have:

P = 30% * 0.1

Evaluate

P = 0.03

Hence, the probability that a bottle on the line is defective and not removed is 0.03

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Answer:

(0, -3, 2)

(0, -3, 0)

(-4, 0, 2)

Corner where 2 or more edges meet.

If the length of the diagonals are equal, then the vertices of a rhombus will form a square. Formula used: We will use the formula of distance between two points which is given

[tex]\[d = \sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2}} \], where \[({x_1},{y_1})\] and \[({x_2},{y_2})\][/tex]

be the two points.

Step-by-step explanation:

arc length = radius × central angle in radian

= 10 × (35 × π/180)^c

= 10 × ( 7π/36)

= 70π/36

= 70/36 × 22/7

= 55/9

= 6.111cm

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and

i hope my ans is helpful

Answer:

formula for length of an arc = 0 / 360 × 2ūr

Given , 0 = 35 , ū = 22/7 ,r =10

therefore; 35/360 × 2 x 22/7 ×10

= 6.111 or 55 /9

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Answer:

-30

Step-by-step explanation:

-20-8=-28

-28-12

=-30

Answer:

all of those answers are rational numbers

Step-by-step explanation:

Answer:

Represent the thickness of the frame by x.

Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,

A = (3+2x)(2+2x) = 8

The equation above can be simplified into 4x^2 + 10x -2=0.

This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice.

Answer:

The correct option would be C

Step-by-step explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

Answer:

when x=1

y= 3 × 1 = 3

when x=2

y= 3 × 2 = 6

when x=3

y= 3 × 3=9

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Step-by-step explanation:

sqrt(5x - 2) <= 3

5x - 2 <= 9

5x <= 11

x <= 11/5

but also : 5x -2 >= 0

otherwise the square root is not valid for real numbers.

5x >= 2

x >= 2/5

so the solution is for all x out of R (real numbers), where

2/5 <= x <= 11/5

Answer:

The area of the pool is 176.71

Step-by-step explanation:

The formula for a triangle is Area= Pi r (radius) sq.

In this problem, you need to remember that radius is half the diameter.

STEP 1: Divide the diameter in half.

STEP 2: Multiply your answer by itself. (example: if your answer was 8, you would multiply by 8)

STEP 3: Multiply the answer by 3.14 (or Pi)

STEP 4: You just found the area of a circle, GREAT JOB!

diameter= 15 feet

the area of the circular swimming pool.

[tex]a = \frac{1}{4} \pi {d}^{2} [/tex]

[tex]a = \frac{1}{5} \times \pi \times {15}^{2} [/tex]

[tex]a = 176.71459 \: {ft}^{2} [/tex]

[tex]a = 176.71 \: {ft}^{2} [/tex]

therefore, the area of the circular swimming pool is 176.71 square feets.

Answer:

4:1

Step-by-step explanation:

There are eight people who don't like shopping and 2 who do. So for every 1 person who likes shopping there are 4 people who don't