An experiment involves rolling a die and drawing a card from a standard deck of 52 cards.
What is the probability that the die lands on 4 and the card is a heart?
Enter your answer as a reduced fraction, like this: 3/14

Answers

Answer 1

Answer:

1/24

Step-by-step explanation:

1 of the 6 possible rolls is a 4, meaning there is a 1/6 probability of rolling 4.

13 of the 52 cards are hearts, meaning that there is a  1/4 probability of drawing a heart.

1/6 * 1/4 = 1/24


Related Questions

What do you add to the cost of one frozen yogurt to get the cost of two frozen yogurt?

Answers

Answer:

You add another Frozen yogurt...

Answer:

You just add it again or multiply it by 2.

Step-by-step explanation:

For example, if the frozen yogurt cost $3.50, you would add it again or multiply it by 2. 3.50 + 3.50 = $7.00

Gymnastics lessons cost $10 per session, plus a one-time fee of $25. Shawn went to 7 sessions. Write an equation that can be used to find how much Shawn paid ?

Answers

Answer: y=10x+25

y=10(7)+25

=70+25

=$95

Step-by-step explanation:

Find the solution to the system of equations.



−2x+2y=−4
3x+3y=−18

Answers

Answer:

Step-by-step explanation:

-6x + 6y = -12

6x + 6y = -36

12y = -48

y = -4

3x - 12 = -18

3x = -6

x = -2

(-2, -4)

Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a
horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to
right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in
inches) as a function of time t (in seconds)
a=

Answers

Answer:

Step-by-step explanation:

amplitude of oscillation a = 12 / 2 = 6 inches.

time period T = 2 s

b = angular frequency = 2π / T

= 2π / 2

= π

so putting the values in the equation

d = a cos ( b t )

d = 6 cos ( π t )

Answer:

there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25

Step-by-step explanation:

find the value of x in the triangle shown below ​

Answers

Answer:

..........

Step-by-step explanation:

x + 114 + 33 = 180

x= 33

The length of a rectangle is seven less than twice the length of its width. If the area of the rectangle is 15 square meters, find the value of x.

Answers

Answer:

Length is 3 meters and the Width is 5 meters

Step-by-step explanation:

L*W=15

L=2W-7

(2W-7)W=15

[tex]2W^{2} -7W=15\\2W^{2} -7W-15=0[/tex]

(2W+3)(W-5)=0, don't use (2W+3)=0, because it gives you a negative dimension.

W=5, L=3

What’s the correct answer for this?

Answers

Answer:

A.

Step-by-step explanation:

tan x= 6/8

usually tan θ = perpendicular / base

So,

we get perpendicular = 6, base = 8

Now using Pythagorean Theorem to find hypotenuse

hyp² = base² + Perp²

hyp² = 8² + 6²

hyp²= 64 + 36

hyp²=100

Taking sq root on both sides

hypotenuse = 10

Now

sin θ = Perpendicular / Hyp

sin x = 6 / 10

Now

cos θ = base / Hyp

cos x = 8 / 10

lan ran 24 laps in a charity run and then walked 0.2 kilometer to the presentation table the total; distance lan traveled was 29.6 kilometer what was the distance of each lap explain how you solve the problem

Answers

Answer:

Step-by-step explanation:

1.225km is equal to each laps

Step-by-step explanation:

Since Kristy total distance traveled = 29.6km

And Kristy ran 24 laps and later walk 0.2km. it simply implies that

Total distance traveled = distance covered running + distance covered walking

Since we know that

Total distance traveled = 29.6km

distance covered running = 24 laps

distance covered walking = 0.2km

Distance covered running in km = total distance traveled - distance covered walking

Distance covered running in km = 29.6km - 0.2km = 29.4km.

To now find the distance for each lap.

Since we have:

Distance covered running in km = 29.4km.

Distance covered running in lap = 24 laps

i.e

24 laps = 29.4km

1 lap = x

Use cross-multiple

24 laps * x = 29.4km × 1 lap

x = 29.4km / 24

x = 1.225km

Therefore

1.225km is equal to each laps.

Answer:1.225km is equal to each laps

Step-by-step explanation:

What’s the correct answer for this? Select the ones that apply

Answers

Answer:

A: -2

B: -10

Step-by-step explanation:

A: the slope of line b is -2

B: Point: (-6,2)

So x= -6 and y = 2

Putting in slope intercept formula for finding b

y=mx+b

2=(-2)(-6)+b

2= 12 + b

b = 2-12

b= -10

The y-intercept of line b is -10

Sara needs 3 cups of orange juice and 2 cups of pineapple for punch recipe. She only has a half cup measure. How many half cups of juice does she need?

Explain your thinking here:

write your answer here: ​

Answers

explanation : if two half cups is 1 cup . then you just multiply by 2 to get how many half cups of juice she would need .

Answer:

10

Step-by-step explanation:

3+2 = 5

5x2 (Because only half cups)

= 10

PLS HELP ASAP !!!! Giving brainlist!

Answers

First one (on the left) is 2) associative property because we are regrouping terms or re-associating them based on the parenthesis. Think of the parenthesis like a tent or a house that separates off the stuff outside. First 27 and 36 are grouped, then we move the parenthesis so that 52 and 27 are grouped now.

Second one (on the right) is 1) commutative. The commutative multiplication property says we can multiply two numbers in any order. For example, 4*9 = 36 and 9*4 = 36. The 4 and 9 swap places. In this problem, the 3 and 4x swap places. The use of parenthesis isn't necessary, though it is sometimes used to imply multiplication.

Answer:

1) Associative property

2) Commutative property

The hypotenuse of a 30°-60°-90° triangle measures 10 inches. Which could be the length of a leg of the triangle?​

Answers

Answer:

6 and 8

Step-by-step explanation:

The hypotenuse of a 30°-60°-90° triangle measures 10 inches.

To find the length of one of the legs, we use the idea of Pythagorean Triples.

Pythagorean Triples are any set of three numbers that satisfies the Pythagorean Theorem. Some common examples are:

3, 4 and 55, 12 and 139, 40 and 41

Note that in a Pythagorean Triple,

The longest length is always the Hypotenuse.New Triples can be formed from product of existing triples.

In our given triangle, the Hypotenuse=10 Inches

Consider the Pythagorean Triple 3,4, and 5

5 is the HypotenuseMultiply the Triples by 2, we obtain:6, 8 and 10 (in which 10 is the hypotenuse)

Therefore, 6 and 8 could be the length of a leg of the 30°-60°-90° triangle.

What is true when you rent? A.you build equity in your house,B.you are responsible for any repairs,c. You pay fewer up front costs

Answers

Answer: C you pay fee fewer upfront cost

Step-by-step explanation:

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

C. x=2 ± √13

Explanation:

If 2 pounds of steak can serve 5 people how many pounds will serve 13 people

Answers

Step-by-step explanation:

wait sorry that was wrong

Answer:

5.2

Step-by-step explanation:

The answer is 5.2 pounds of meat. To find this just divide the number of people by what the information you have about servings. 13/5=2.6(number of sets), then you multiply that by how many pounds are in each set.

Can someone help me please

Answers

it would affect the mean the most

There are 12 inches in 1 foot. Write 75 inches in feet and inches

Answers

84/12 is 7 so it’s 7 feet and to find out how many inches, you have to subtract 84-75 which is 9 that that’s 9 inches

7 feet and 9 inches

Answer:6.25

Step-by-step explanation:

Translate to an equation, then solve.
Nineteen less than eight times a number is equal to 11 more than six times the number. What is the number?

Answers

Answer:

Step-by-step explanation:

8x - 19 = 6x +11

2x - 19 = 11

2x = 30

x = 15

Answer:

c

Step-by-step explanation:

g(x) = 4x2 – 3x + 7
Find g(3)
Simplify your answer

Answers

Answer:

32

Step-by-step explanation:

g(x) = 4x² - 3x + 7

g(3) = 4(3)² - 3(3) + 7

g(3) = 4(9) - 9 + 7

g(3) = 36 - 9 + 7

g(3) = 25 + 7

g(3) = 32

Jenna has 131 dog biscuits. She wants to give them as gifts to each of her 4 poodles. How many biscuits does each poodles get? (Assume each gets the same number of biscuits.)

Answers

Answer:

32

Step-by-step explanation:

you just have to divide 131/4 to get 32.75 but  they all have to be equal

Division is one of the four fundamental arithmetic operations. The number of biscuits that each of the four poodles will get is 32.75.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Jenna has a total of 131 dog biscuits, she also has 4 poodles. Therefore, the number of biscuits she should give to each of her poodles can be found by dividing the total number of biscuits by the number of poodles she has.

Thus, the number of biscuits she should give to each of her poodles is,

Number of biscuits each poodle gets

= Number of biscuits / Number of poodles

= 131 / 4

= 32.75

Hence, the number of biscuits that each of the four poodles will get is 32.75.

Learn more about Division here:

https://brainly.com/question/369266

#SPJ5

4 ÷ 1/5 = 20 because​

Answers

Step-by-step explanation:

BECAUUUUSE ;

[tex]4 \div \frac{1}{5} = 20 \\ \frac{4}{1} \div \frac{1}{5} = 20 \\ \frac{4}{1} \times \frac{5}{1} = 20 \\ \frac{20}{1} = 20[/tex]

Answer:Because the divide sign change to multiplication sign, and when this happens denominator in the right hand side will become numerator,while the formal numerator will become denominator.

Step-by-step explanation:

4 ➗ 1/5

4 x 5/1=20

What is the vertex of the graph of the function f(x) = x2 + 8x - 2 ?
(-4, 18)
(0, -2)
(-8, -2)
(-4, -18)

Answers

Answer: (-4,-18)

Step-by-step explanation: If you use desmos you can graph the equation to find the vertex.

The vertex of the graph of function f(x) =  x² + 8x - 2 is (-4, -18)

What is the vertex of the graph of a quadratic function?

In a quadratic function, the vertex of the graph refers to the highest or lowest possible outcome of the function. In a graph, the vertex is the highest or lowest point on the parabola,

Given that:

f(x) = x² + 8x - 2

where;

a = 1b = 8c = - 2

By using the vertex formula to find the x-value;

[tex]\mathbf{x = \dfrac{-b}{2a}}[/tex]

[tex]\mathbf{x = \dfrac{-8}{2(1)}}[/tex]

x = -4

So,

y = (-4)² + 8(-4) - 2

y = 16 -32 -2

y = -18

Therefore, the vertex of the graph of function f(x) =  x² + 8x - 2 is (-4, -18)

Learn more about the vertex of the graph function here:

https://brainly.com/question/1305555

#SPJ2

how do i solve 4/5 divided by 3/4
what is the answer please help

Answers

Answer:16/15 or 1 1/15

Step-by-step explanation:

4/5 ➗ 3/4

4/5 x 4/3

(4 x 4) ➗ (5 x 3)

16 ➗ 15=16/15 or 1 1/15

Help timed test! At which root does the graph...

Answers

Answer:

x = -2

Step-by-step explanation:

The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

To find where it will touch the axis set the factor equal to zero and solve.

(x + 2) = 0

subtract 2 from both sides

x = -2

Hannah is setting up chairs for the class play. The room has 20 chairs. What are the different ways she can arrange the chairs in a rectangle?

Answers

Answer:

Have them 4 by 5.

Step-by-step explanation:

If you she but 5 chairs in a row, then 3 on the side of the chairs. That would create a backward "L" type of shape.

For example, (The "o" is a chair)

OOOOO

O

O

O

As you see the the top are the 5 chairs, then side are are the 4 chairs.

Then, you will do the exact same thing  but on the opposite side.

Here is the next example.

OOOOOO

O            O

O            O

O            O

OOOOOO

Basically, arranging the chairs 4x5, it would make a rectangle.

100 POINTS

PLEASE PROVIDE STEPS.

THANK YOU!!!

Answers

Answer:

2/π

h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).

h(x) is concave down on the interval (-1/√3, 1/√3).

Step-by-step explanation:

f(x) = sin x

The average value of a function between x=a and x=b is:

avg = 1/(b−a) ∫ₐᵇ f(x) dx

avg = 1/(π−0) ∫₀ᵖⁱ sin x dx

avg = 1/π (-cos x) |₀ᵖⁱ

avg = 1/π (-cos π − (-cos 0))

avg = 1/π (1 + 1)

avg = 2/π

h(x) = x⁴/12 − x²/6

Find the second derivative.

h'(x) = x³/3 − x/3

h"(x) = x² − ⅓

Factor using difference of squares.

h"(x) = (x − 1/√3) (x + 1/√3)

h"(x) = 0 when x = ±1/√3.  Evaluate the sign of h"(x) in each interval.

-∞ < x < -1/√3, h"(x) > 0.

-1/√3 < x < 1/√3, h"(x) < 0.

1/√3 < x < ∞, h"(x) > 0.

h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).

h(x) is concave down on the interval (-1/√3, 1/√3).

Answer:

2/π

h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).

h(x) is concave down on the interval (-1/√3, 1/√3).

Step-by-step explanation:

if you had a sale price of $40 and the percent of your discounts 25% what was the original price. ​

Answers

Answer:

$ 50

Step-by-step explanation:

Original price = Sale price + discount

= 40 + 25% of 40

= 40 + 0.25 * 40

= 40 + 10

Original price =  $50

Plz help me find the area of this polygon

Answers

Answer:

It is 4

Step-by-step explanation: To find the area you multiply the numbers.

What is the disciminant of 3x^2-10x=-2

Answers

Answer:

76

Step-by-step explanation:

First get the equation into the form

ax^2 +bx+c =0

3x^2-10x+2=-2+2

3x^2-10x+2 =0

The discriminant is

b^2 -4ac  where a=3  b = -10 c =2

(-10)^2 - 4(3)(2)

100 - 24

76

angle relationships with parallel lines

Answers

Answer: 136°

Step-by-step explanation:

In this angle relationship, it is a supplementary angles. because the parallel lines are separated by a line, the 2 angles make 180°.

180°=44°+x°

x=136°

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