Of the last 16 contestants on a game show, 12 qualified for the bonus round. Considering this data, how many of the next 12 contestants would you expect to qualify for the bonus round?

Answer:

105/330 = 21/66 = 7/22

7/22 is the answer I think

Step-by-step explanation:

n(U) = 330

n(A) = 85

n(B) = 200

n(A n B) = 60

Now,

n(A U B) = n(A) + n(B) - n(A n B)

or, n(A U B) = 85 + 200 - 60

or, n(A U B) = 285 - 60 = 225

Now,

n(A U B) compliment = n(U) - n(A U B)

n(A U B) compliment = 330 - 225

so, n(A U B) compliment = 105

Now,

probability = 105/330

1. 2

2. 2
3. 4

4. 3 and 1

5. C

6. B

7. C and D

8. 3

9. 1 and 4

10. C

11. 2

12. D

You're Welcome✌! Brainliest would mean a lot.

Answer:

A conversion calculator gave me 8800

Answer: 7

Step-by-step explanation:

This means we substitute x=3 into f(x).

f(3) = 3^2 - 2 = 7.

Answer:

695

Step-by-step explanation:

So for thus, you need to follow PEMDAS

First, Parentheses

(-14 + 2.5) = -11.5

Skip E, there are no Exponents

Now for Multiplication

30 * (-11.5) = -345

Lastly, Subtraction

350 - -345

Becomes 350 + 345 = 695

Answer:

The answer is 695.

350-30(-14+2.5)=695.

Answer:

I believe its 0.41

Step-by-step explanation:

not 100% sure

hope this helps and is the correct answer : )

Answer:

0

Step-by-step explanation:

This problem is impossible if the x value is -2. However, if the x value is 2, find where the line meets x=2 and record the y value.

Answer:

Answer: 3 + 97

Step-by-step explanation:

Just off the top of my head, I'm pretty sure that the answer you want is 3 and 97.

The single digit primes are 2 3 5 7

2 + 98 is what you are forced to use. 98 is not prime

3 + 97 is the answer I gave.

5 and 95 Ninety five is not prime (5 divides into it).

7 and 93 but 93 is not prime. 3 will divide into it.

Answer:

45

Step-by-step explanation:

Lets split the problem then add/subtract at the end

3 x 6 = 18

Due to Order of operations we do 2^3 first then multipy by 4

so 2^3 = 8 Then we do 8 x 4 = 32

Now we add/subtract

18 + 32 - 5 = 45

45 is the answer

Answer:

45

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtration

[tex]3(6) + 4(2)^3 - 5 < ==multiply\ the\ exponents\ first\\\\18+4(8)-5 < ==multiply\ first\\\\18+32-5 < ==addition\ before\ subtraction\\\\50-5 < == subtract\\\\45 < == final\ answer[/tex]

Hope this helps!

Answer:

A.

Step-by-step explanation:

The interval values given are the values of x.

We see that on Graph A, to the left of  x = 2 the graph is below the x-axis ( negative values of f) and to the right the values of f are above the x-axis (positive f).

Answer:

A :)

Step-by-step explanation:

I just tokk the test!

Answer:

all real numbers

Step-by-step explanation:

the domain for normal linear and quadratic equations is always all real numbers

Answer:

The answer is D

Step-by-step explanation:

This is because 5π is equal to 15.7

Answer:

(2 , 4)

Step-by-step explanation:

set 3x-2 = -x + 6

4x = 8

x = 2

3(2) - 2 = 4

Answer:

  a. 314.2 in²

  b. 36 m²

  c. 60 m²

Step-by-step explanation:

The areas of these plane figures can be found by substituting the given dimensions into the area formula.

The area of a circle can be found from its diameter to be ...

  A = (π/4)d²

  A = (π/4)(20 in)² = 100π in² ≈ 314.2 in²

__

The area of a parallelogram can be found as ...

  A = bh

  A = (9 m)(4 m) = 36 m²

__

The area of a triangle can be found from ...

  A = 1/2bh

  A = 1/2(15 m)(8 m) = 60 m²

_____

Additional comment

A triangle with sides 17 and 15 and height 8 cannot be obtuse. It is a right triangle. (Those side lengths are a Pythagorean triple.)

The approximate difference of the volume of the two spherical fruits is: C. 19 in.³.

Volume of sphere = 4/3πr³

The orange and the grapefruit are spherical in shape. Therefore:

Volume of orange = 4/3πr³ = 4/3π(1.5)³ = 14.14 in.³

Volume of grapefruit = 4/3πr³ = 4/3π(2)³ = 33.51 in.³

Difference in volume = 33.51 - 14.14 = 19.37

Therefore, the approximate difference of the volume of the two spherical fruits is: C. 19 in.³.

Learn more about the volume of sphere on:

https://brainly.com/question/22807400

Answer:

a) 5/2

b) 1/3

Step-by-step explanation:

a) 3y-2x=5 to find the value of y let we replace x by 0

then solve it

Answer:

(a) y = 2/3x + 5/3

(b) y = 1/3

Step-by-step explanation:

(a) Make y the subject of 3y - 2x = 5

3y - 2x = 5

    + 2x + 2x ==> isolate the variable y, by adding 2x to both sides

3y = 2x + 5 ==> divide both sides by three

/3       /3

y = 2/3x + 5/3 ==> y now becomes the subject, or our final answer

(b) Using 3y - 2x = 5 or y = 2/3x + 5/3,  find the value of y when x= -2

y = 2/3x + 5/3

y = 2/3(-2) + 5/3 ==> substitute -2 for x

y = -4/3 + 5/3 ==> add the fractions

y = 1/3 ==> the value of y, our final answer

OR

3y - 2x = 5

3y - 2(-2) = 5 ==> substitute -2 for x

3y - (-4) = 5

3y + 4 = 5 ==> --4 makes a +4, the subtract 4 (-4) from both sides

     - 4  - 4

3y = 1 ==> divide both sides by 3

/3    /3

y = 1/3 ==> your final answer

Hope this helps!

The number of Chrissy's ribbon which are neither purple nor green is 1 5/8 yards

Ribbon which is neither purple nor green = Total - (purple + green)

= 3 - (3/8 + 1)

= 3 - (1 3/8)

= 3 - 11/8

= (24-11) / 8

= 13/8

= 1 5/8 yards.

Learn more about fraction:

https://brainly.com/question/2929160

The number of lateral faces for a hexagonal prism or pyramid is 6.

A prism is a three dimensional figure consisting of pair of opposite bases and lateral faces which are parallelogram.

Given that the base off the prism has two sides of length 3 inches and four sides of length 2 inches. Hence the base is hexagonal. The lateral faces would be 6.

The number of lateral faces for a hexagonal prism or pyramid is 6.

Find out more on prism at: https://brainly.com/question/23963432

2.4 hours

Ten percent is ten per every hundred, that is ten percent is Thus ten percent of 24 hours is 0.10 \times 24 = 2.4 hours.

Answer:

2.4 hours

Step-by-step explanation:

24÷10=2.4

Linear equations in slope intercept form for the given scenarios:

Juwan: y = 4x + 4

Jamie: y = 3x

Linear equations in standard form for the given scenarios:

Juwan: y - 4x = 4

Jamie: y - 3x = 0

Where, y = current stock value and x = number of times the stock value increased.

Domain: Set of natural number.

Range: Real number greater than or equal to 0.

This scenario is an example of causation.

The standard form of a line is Ax + By = C, where A and B are not both zero.

In the given scenario, we take

y =  the present stock value of Jamie and Juwan.

x = number of times the stock value increased.

where, y depends upon x.

Juwan: y - 4x = 4

Jamie: y - 3x = 0

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

Juwan: y = 4x + 4

Slope = 4

y - intercept = 4

Jamie: y = 3x

Slope = 3

y - intercept = 0

The domain is the set of all the input values of a function and range is the possible output given by the function.

In this particular question, x is the number of times stock price increased. Thus, it can be 0, 1, 2, 3....set of natural number. y is the current stock price. The stock price was positive in the beginning and has been increasing since then, therefore y lies in the set of positive real number.

Causation means that one variable causes another to change, which means one variable is dependent on the other. Here, the price of stock depends upon the number of times its value increased.

Learn more about causation here

https://brainly.com/question/10971583

#SPJ3

Answer:

=2,133 3/7cm^2

Step-by-step explanation:

sides

15x16=240

240x2

=480cm^2

24×16=384

384×2= 768cm^2

768+480

a=1248cm^2

24x15=360cm^2

22/7x4x4

=50 2/7cm^2

360- 50 2/7

=354 5/7cm^2

(354 5/7)2

b=709 3/7cm^2

22/7x8x7

=22x8

c=176cm^2

a+b+c

1248+709 3/7+ 176

=2,133 3/7cm^2

Answer:

3= perimeter=44 area=73

4= perimeter=60 area=209

5= perimeter=32 area=55

Step-by-step explanation:

18x4=72

18+18+4+4=44

11+11+19+19=60

11x19=209

5x11=55

5+5+11+11=32

Answer:

3x - 2

Step-by-step explanation:

Collect like timers. -x + 4x = 3x and -3 + 1 = -2, 3x - 2

Hey there!

-x + 1 + 4x - 3

= -1x + 1 + 4x - 3

COMBINE the LIKE TERMS

= (-1x + 4x) + (1 - 3)

= -1x + 4x + 1 - 3

= 3x - 2

Therefore, your answer is: 3x - 2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

x = 2

Step-by-step explanation

4x - 3 = 6x - 7

     +7          +7      Adding seven so we can isolate on the Xs

4x + 4 = 6x

-4x         -4x             Once again, trying to isolate the X

4 = 2x

/2x                 Divide by 2

2 = x

Answer:

Step-by-step explanation:

Initial value ( y - value) for  Function A is 12.

For B its 3(-1) + 2 = -1   so the answer is Function A.

Answer:

Find 'Function A's linear equation by using point-slope formula;

Where y1 = your first y-coordinate in any pair, and x1 = your first x-coordinate in the following pair used for the y-coordinate, and lastly m = slope.

But, we do not have the slope so we use the formula to find the slope(rise/run) of any two random points;

y2(second y-coordinate) - y1(first y-coordinate)

______________________________________

x2(second x-coordinate) - x1(first x-coordinate)

We plug in these values using any two ordered pairs, so I'll just use (-1,12) and (0,8).

12 - 8           4

_____ = ______ = -4/1 or -4 is the slope, so now we utilize this slope into

-1 - 0           -1

our point slope formula:-

y - y1 = m(x - x1)

For this, we just use one arbitrary pair, I'll use (-1,12).

So,

y - 12 = -4(x - (-1))

simplify

y - 12 = -4x - 4

isolate y by adding 12 to both sides (inverse operation of subtraction is addition)

+12         +12

y = -4x + 8, is the function for A.

Now let's compare the y-intercepts of both of these functions because we want to see which one has the greatest initial value.

Function A: y = -4x + 8, 8 is the y-intercept in this case.

Function B: y = 3x + 2, 2 is the y-intercept in this case.

Compare;

8 > 2, therefore Function A has a greater initial value.

Step-by-step explanation:

P(-4,-1)======P'(-1,4)

Q(-4,-3)=====Q'(-3,4)

R(-2,3)======R'(3,2)