A special deck of cards has 12 cards. four are green, three are blue, and five are red. When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin. A. How many elements are there in the sample space? 12 B. Let A be the event that a green card is picked first, followed by landing a tail on the coin toss. P(A) = Present your answer as a decimal number rounded to two decimal places of accuracy. C. Let C be the event that a green or red is picked, followed by landing a tail on the coin toss. Are the events A and C mutually exclusive?(Yes or No) D. Let B be the event that a blue or red is picked, followed by landing a tail on the coin toss. Are the events A and B mutually exclusive? (Yes or No)

Answer:

C is the answer.

Exp :

(-2.1x+4.9x)+(3.7+5)

=2.8x+8.7

Answer:

C.)  2.8x + 8.7

Step-by-step explanation:

Answer:

the answer is b

Answer:

9a^4-a^2b-8b^2

Step-by-step explanation:

multiply parentheses

calculate

collect like terms

Answer: Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Step-by-step explanation:

Let x be the cost of each item bought by Spongebob.

Then, cost of each item bought by Patrick = x- 1.50

Then, cost of 3 items bought by Spongebob =  3x

Cost of 5 items bought by  Patrick = 5(x-1.50)

If both Spongebob and Patrick paid the same amount of money then

[tex]3x= 5(x-1.5)\\\\\Rightarrow\ 3x=5x-1.5\times5\\\\\Rightarrow\ 3x=5x-7.5\\\\\Rightarrow\ 5x-2x=7.5\\\\\Rightarrow\ 3x=7.5\\\\\Rightarrow\ x=\dfrac{7.5}{3}\\\\\Rightarrow\ x=2.5[/tex]

Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $2.5-$1.5=$1

Hence, Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Answer: Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Step-by-step explanation:

Let x be the cost of each item bought by Spongebob.

Then, cost of each item bought by Patrick = x- 1.50

Then, cost of 3 items bought by Spongebob =  3x

Cost of 5 items bought by  Patrick = 5(x-1.50)

If both Spongebob and Patrick paid the same amount of money then

Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $2.5-$1.5=$1

Hence, Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Answer:

answer B

Step-by-step explanation:

I

there's 3 feet and 9 inches of paper on timothy's side

alondra cuts the zame amount of strips at 106.68m

there are 2.54 centimeters in one inch.

there are 12 inches in a foot

12 ×3 is 36 plus 9 is 45 inches

now, divide 106.68 by 2.54 to get 42 inches (we have 3 left over

if we subtract 220 by 106.68 we get 113.12

2.54 centimeters equals 1 inch, divide 113.12 to get 44.6

convert this to feet and we get 3 feet and 8 inches

3 feet 8 onches plus 3 feet 10 inches is 7.7 (by rounding)

(sorry that my work is all over the place i have a bad habit)

Answer:

$50

Step-by-step explanation:

To find the original price, divide the new price by the 0.7, since the discount was 30%:

35/0.7

= 50

So, the original price of the game was $50

Answer:

$50

Step-by-step explanation:

.3 multiplied by 50= 15, then add 15 to 35 to get 50

Answer:

                               50

Step-by-step explanation:

Answer:

I think the answer is The researcher manipulates at least one independent variable. Hope this helps.

Step-by-step explanation:

The BEST statement describes is that "The researcher manipulates at least one independent variable."

Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.

The variables who take their values based on some other variables' values are called dependent variables.

Given that researcher studies the rate of progress of a chemical reaction.

The researcher fixes the temperature and pressure, varies the amount of catalyst used over a range of quantities, since we know that If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.

Therefore, the BEST statement describes why the investigation is an experimental study;

"The researcher manipulates at least one independent variable."

Learn more about independent variable;

https://brainly.com/question/1479694

#SPJ2

Answer:

Step-by-step explanation:

"Kristina sold 8 pumpkins for $3.50 each, 6 for $8.00 each, and 15 for $1.00 each. She receives $0.25 for each pumpkin sold plus a $10.00 bonus if her sales total $95.00 or more. How much did she receive?"

Given data

The total number of pumpkin is 8+6+15= 29 pumpkin

total cost of pumpkin=

8*3.5=$28

6*8=$48

15*1=$15

total is $28+$48+$15= $91

the total amount sold is not up to $95, so she will not receive the $10 bonus

But she will receive

0.25*29=$7.25

Answer:

For every gallon of gas added to the tank, the buyer is charged $2.35

The constant of proportionality of the given equation y = 2.35x will be 2.35.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

Let's x ∝ y

Then x = ky where k will be constant of proportional.

k = x/y which means when two variables are divided which were in proportion it will create a constant proportional.

So,

y /x = 2.35 will be constant of propotional.

Hence "The constant of proportionality of the given equation y = 2.35x will be 2.35".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Answer:

oijfijfiosdoiviv

Step-by-step explanation:

Step 1: Use the slope formula y₂ - y₁/x₂ - x₁ to find the slope.

[tex]\frac{0 - (-4)}{-3 - 3}\\ \\\frac{4}{-6} = -\frac{2}{3}[/tex]

Step 2: Plug the slope we found and one point into the slope-intercept formula, y = mx + b.

[tex]y = mx + b\\\\0 = -\frac{2}{3}(6) + b\\\\0 = -4 + b\\\\4 = b[/tex]

Step 3: Put it all together.

[tex]y = -\frac{2}{3}x + 4[/tex]

Answer: The awnser is 5 jeans and 8 shirts

Answer:

6/x*5

Step-by-step explanation:

i hope this helped :3

What you need to do is convert all mixed numbers to improper fractions, then multiply the top and multiply the bottom and simplify. For division, simply flip one fraction

Answer:

∠ LHK = 101°

Step-by-step explanation:

The 2 angles on a straight line are supplementary, thus

∠ LHK = 180° - 79° = 101°

The given parameters are illustrations of angles on a straight line. The measure of [tex]\angle LHK[/tex] is [tex]101^o[/tex]

Given that:

[tex]\angle GHL = 79^o[/tex]

Using the angle on a straight line theorem, we have:

[tex]\angle GHL + \angle LHK =180^o[/tex] ---- angle on a straight line is 180

Substitute [tex]\angle GHL = 79^o[/tex]

[tex]79^o + \angle LHK = 180^o[/tex]

Collect like terms

[tex]\angle LHK = 180^o - 79^o[/tex]

[tex]\angle LHK = 101^o[/tex]

Hence, the measure of [tex]\angle LHK[/tex] is [tex]101^o[/tex]

Read more about angle on a straight line at:

https://brainly.com/question/17104958

Answer:

it says download docx so download it first and start typing

Step-by-step explanation:

Answer:

my friend is obsessed with him but i don't know who he is.

Step-by-step explanation:

Answer:

UH - ME

Step-by-step explanation:

Answer:

115 Degrees

Step-by-step explanation:

Isosceles Triangles have two congruent base angles so if one is 50 degrees, 180-50=130 degrees the base angles must be 130/2=65 degrees each. ACB is 65 degrees and makes a line with BCE, so their sum must be 180 degrees. 180-65= 115 Degrees= BCE

Answer:

Everything except G and H

Step-by-step explanation:

The perimeter of a shape is the sum of its side lengths.

The possible dimensions of the rectangle whose perimeter is 14 cm are:

A. 1 cm by 6 cm

B.2 cm by 5 cm

C. 3 cm by 4 cm

D. 4 cm by 3 cm

E. 5 cm by 2 cm

F. 6 cm by 1 cm

The perimeter is given as:

[tex]\mathbf{ Perimeter = 14cm}[/tex]

The perimeter of a rectangle is:

[tex]\mathbf{Perimeter = 2 \times (Length + Width)}[/tex]

So, we have:

[tex]\mathbf{A.\ Perimeter = 2 \times (1cm+ 6cm) = 14cm}[/tex]

[tex]\mathbf{B.\ Perimeter = 2 \times (2cm+ 5cm) = 14cm}[/tex]

[tex]\mathbf{C.\ Perimeter = 2 \times (3cm+4cm) = 14cm}[/tex]

[tex]\mathbf{D.\ Perimeter = 2 \times (4cm+3cm) = 14cm}[/tex]

[tex]\mathbf{E.\ Perimeter = 2 \times (5cm+2cm) = 14cm}[/tex]

[tex]\mathbf{F.\ Perimeter = 2 \times (6cm+1cm) = 14cm}[/tex]

[tex]\mathbf{G.\ Perimeter = 2 \times (7cm+7cm) = 28cm}[/tex]

[tex]\mathbf{H.\ Perimeter = 2 \times (8cm+6cm) = 28cm}[/tex]

By comparing the options with the given perimeter, the correct dimensions are:

A. 1 cm by 6 cm

B.2 cm by 5 cm

C. 3 cm by 4 cm

D. 4 cm by 3 cm

E. 5 cm by 2 cm

F. 6 cm by 1 cm

Read more about perimeters at:

https://brainly.com/question/6465134

Answer:

Undefined

Step-by-step explanation:

The slope is undefined.

When the line is vertical, it is undefined. If the line was horizontal, the slope would have been zero.

In this case, the line is vertical, making it undefined

Answer:

D

Step-by-step explanation:

Recall the slope-intercept form of a line:

y = mx + b

slope -2/7 means m = -2/7

y = -2/7x + b

Intercept at (0, -1)

x = 0 and y = -1.

Hence, let's plug it back into the equation we made earlier (y = -2/7x + b)

(-1) = -2/7(0) + b

-1 = b

b must be -1

y = -2/7x -1

Answer: Jaime is James

Step-by-step explanation: Remember that the original exponential formula was y = abx. You will notice that in these new growth and decay functions, the b value (growth factor) has been replaced either by (1 + r) or by (1 - r). The growth "rate" (r) is determined as b = 1 + r.

Answer:

what do you need help with?

What do you need help with?

Answer:

C

Step-by-step explanation:

pls mark brainliest :)

Answer:

c

Step-by-step explanation:

because if it leaks 2 ml pe second that means we have to find out how much it leaks in 60 seconds so 2 x 60 = 120 but all the answers have the unit L beside them, not ml so 1000 ml is 1 L so that means that 120ml in L would not be a whole number so it has to be a decimal so c ( but you should still double-check just in case)

hope this helps : )