Calculate the probability for the following situation, then select the correct answer:

You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card greater than 6 (assume the ace is equal to 1) from the deck?

Answers

Answer 1

The probability is P = 0.135

How to find the probability?

First, we need to find the individual probabilities, that are given by the quotient between the number of outcomes that meet the condition and the total number of outcomes.

P(head) = 1/2P(odd number) = 3/6  (there are 3 odd numbers on the dice)P(card greater than 6) = 28/52 (28 cards with numbers larger than 6).

The joint probability is given by the product between the individual probabilities, so we get:

P = (1/2)*(3/6)*(28/52) = 0.135

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Related Questions

7. Look at the picture.
There are designated walkways for people at this beach. Why are these walkways constructed?
A) To keep people away from the other animals that live there.
B) To beautify the beach area in order to attract more tourists.
C) To protect the people, especially children, who visit the beach.
D) To protect sand dunes from foot-traffic that contributes to erosion.

Answers

Answer:

A

Step-by-step explanation:

Walkways are constructed to keep people away from the other animals that live there. Therefore, the correct option is option A.

What is walkway?

In American English, "walkway" refers to any artificial surface or building that facilitates the use of trails. A walkway is described as "a tunnel or path for strolling along, especially. a raised hallway connecting separate sections of such a building or perhaps a wide path inside a park or garden" in the New English American Dictionary.

In New Zealand, wherein "walkways vary significantly in nature, between short urban strolls, to easy seaside areas, to demanding tramps in the high country [mountains]," the word is used to designate a footpath. Walkways are constructed to keep people away from the other animals that live there.

Therefore, the correct option is option A.

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Please help marking brainliest if correct, serious answers only, thank you.

Answers

it’s alternate interior!!!
cuz they’re on the inside of the lines
and they’re not on the same side of the line that crosses

Divide 81/20 how to divide please give step by step explanation ​

Answers

Hi there!

[tex]81*20=4\frac{1}{20}[/tex]

Let see how much 20 goes into 80:

[tex]20,40,60,80[/tex]

That would be 4 time...

Subtract terms with terms:

[tex]81-80=1[/tex]

Remainder would be 1.

Convert term into fraction:

[tex]\frac{1}{20}[/tex]

Final Result:

[tex]4\frac{1}{20}[/tex]

simplify 7/341 and give step by step explanation! I will mark you a brainliest.​

Answers

Answer:

it can't be simplified

Step-by-step explanation:

Yep. It cannot be simplified.

1) Which of the following are considered POLYNOMIALS according to the rules of polynomials? Check all that apply

Answers

Answer:

A polynomial is writen as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀

So we can only have positive integer exponents of x.

the coefficients "a" can be any real number.

Let's analyze the options:

1) Here we can see a term with "√x", remember that:

√x = (x)^(1/2)

This is not an integer exponent, then this is not a polynomial.

2) This is a polynomial.

3) Here we have the term "4/x"

This can be written as:

4/x = 4*x^(-1)

Then this is not a polynomial.

4) Here we have the term "5^x"

In a polynomial we must have powers of x, not x as a power, then this is not a polynomial.

5) This is a polynomial.

6) Here we have the term " 2/x^2"

This can be written as:

2/x^2 = 2*x^(-2)

We have a negative exponent of x, then this is not a polynomial.

Linear equations -5(-5x+3)-5x+5=-50

Answers

Answer:

x=-30

Step-by-step explanation:

25x+15-5x+5=-50

20x+10=-50

20x+10-10=-50-10

2x=-60

x=60/2

x=-30

Hope it helps!

(I tired hard:))

HELP ......,,,,,...,,.....

Answers

Answer:

6. Not similar.

7. Not similar.

8. Not similar.

Step-by-step explanation:

6. Reduce all ratios to simplest form 16:20 = 4:5 ; 12:15 = 4:5 ; 20:26 = 10:13 not all of the sides follow the same ratio, so the triangles are not similar.  

7. None of the side lengths are shown. You can find the missing angles of the triangle however, only one of the angles is congruent to the other, so the triangles are not similar.

8. We know that 2 of the sides of each triangle are congruent, and the angle in between the sides are also congruent, which follows the SAS similarity conjecture. However, given that the sides are congruent, not similar in ratio, I can conclude that the triangles are congruent, not similar.

PS. It would mean the world to me if you could mark me brainliest!

Side note- I am not a professional, I just have done this a few months in the past! Best of luck!

GrumpyCorp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines drug users 96% of the time(a Positive test) and correctly determines non-users 90% of the time(a Negative test). A recent study concluded that 36% of college students use drugs. A potential employee has been tested and the result was Negative for drug use.
a) Construct ALL necessary probabilities using proper notation(Example: P(D) for a "drug user"). (Hint: there should be 6 total)
b) Find the Probability of a Negative test, by showing use of the above Probabilities first, and then followed by the proper calculation.
c) Use Bayes' Theorem to find the probability that a person who tests Positive actually was not a Drug User. Set up using Conditional Probability Notation and then substitute in numeric values.

Answers

Solution :

Drug : Drug user

T : Test positive

a). [tex]P(D) =0.36[/tex]

    [tex]$P\left(\frac{T}{D} \right) = 0.96$[/tex]

    [tex]$P\left(\frac{T^c}{D^c} \right) = 0.90$[/tex]

b). [tex]$P(T^c)= P\left(\frac{T^c}{D^c}\right) \times P(D^c)+ P\left(\frac{T^c}{D}\right) \times P(D)$[/tex]

               [tex]$=0.9 \times (1-0.36) + (1-0.96) \times 0.36$[/tex]

               = 0.5904

c). [tex]$P\left(\frac{D^c}{T}\right) = \frac{P\left(\frac{T}{D^c}\right). P(D^c)}{P\left(\frac{T}{D^c}\right). P(D^c) + P\left(\frac{T}{D}\right). P(D)}$[/tex]

                  [tex]$=\frac{(1-0.90) \times (1-0.36)}{(1-0.90) \times (1-0.36)+(0.96 \times 0.36)}$[/tex]

                 [tex]$=0.15625$[/tex]

Bjorn wants to save $1,680 so that he can buy the car he wants. If Bjorn can save $15 per day, how many days will it take him to save enough money?

Answers

$1680/$15= 112 days

It will take 112 days.

Solve for x 4(2x+3)
I’ll mark brainlyest

Answers

Answer:

=2x5+3x4 plus brainliest please

Step-by-step explanation:

=(x4)(2x+3)

=(x4)(2x)+(x4)(3)

=2x5+3x4

Answer:

You cant solve it because its an expression but below is the expression simplified if you put the equal thing I will edit it to make it correct

Step-by-step explanation:

4 x 2x = 8x

4 x 3 = 12

8x + 12

Pattern if decreasing perfect squares 121, 100, 81, __,49, 36 What number do you need to square to find missing term?

Answers

Answer:

8

Step-by-step explanation:

121 is 11^2, 100 is 10^2, 81 is 9^2, 49 is 7^2, and 36 is 6^2. 64 is missing in the pattern, and since each number is a perfect square, the number you'd need to square is 8.

What is the volume of the triangular prism to the nearest whole unit.

Answers

Answer: 720ft

Step-by-step explanation:

15 x 3=45

45 x 16= 720

Hope this helps

Explain the two ways we can find the slope from an equation written in STANDARD FORM. Which way is more convenient and WHY?

Answers

Answer: Derivative or y = mx + b

Step-by-step explanation:

Take the m value from the standard form equation:

y = mx + b

Or, the second way, is to take the derivative of the function and plug in your x value for your slope.

The derivative of a linear function is very easy to take, so it boils to preference

2. A 30-foot tree broke from its base and fell against a house. If the tree touches the house at a height of 21
feet, how far is the base of the tree from the house? Leave your answer in the simplest radical form.
A. 51 square root 3
B. 9 square root 17
C. 3 square root 51
D. 21.42

Answers

Answer:

C

Step-by-step explanation:


pa^2 + qb^2 + pb^2 + qa^2​

Answers

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what is the range of the function f(x) = -2|x+1|? QUICK PLEASE ITS A TIMED TEST

Answers

I gochu. Alright as you can see on that graph the y’s maximum height is at 0. y is less than or equal to 0.

Please answer!!!
y = Yolanda's height in inches
y + 7 = Linda's height in inches
2y + (y + 7) = 193

Answers

193=2y+y+7
193=3y+7
186=3y
62=y
Yolanda is 62 inches tall and Linda is 69 inches tall.

A polygon is shown below.
26 cm
U
12 cm
1.
26 cm
X W
16 cm
Y
7 cm
What is the area of polygon TUVWXYZ?
O A 87 cm
O B. 120 cm
O C. 468 cm2
OD. 494 cm2

Answers

I still haven't reached that exercise, sorry

Help me out plz geometry

Answers

Answer:

45°

Step-by-step explanation:

divide 90 by 2 see there is a right angle between them

pablo will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $55.96 with additional costs of $0.12 per mile driven. the second plane has an initial fee of $63.96 and costs an additional $0.08 per mile driven. how many miles does pablo drive to make the miles the same?

Answers

Answer:

200 miles

Step-by-step explanation:

63.96+(.08x)=55.96+(.12x). x=200. 63.96+(.08x200)=79.96. 55.96+(.12x200)= 79.96

Answer:

your the one

Step-by-step explanation:

ajhayajsjsusudhdhdhxdhfd

round 5/8 to the nearest whole number ​

Answers

The nearest whole number would be 1, because the fraction 5/8 to a decimal is 0.625.

PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLEASEEEEEEEEEEEEEEEEEEEEEEEE WILL GIVE BRAINLIST

2. Hank used a semicircle, a rectangle, and a triangle to form the following composite figure. What is its area in square centimeters? Use 3.14 to approximate . Show your work.

Answers

Answer:

Step-by-step explanation:

The area of a circle is 3.14r^2

The area of the triangle is bh/2

The area of the rectangle is wh

A=3.14(5^2)/2+8(10)/2+5(20)

A=3.14(25)/2+40+100

A=179.25 cm^2

Answer:

Step-by-step explanation:

Area of rectangle = 5 × 20 = 100 cm²

Area of triangle = 0.5 × 10 × 8 = 40 cm²

Are of semicircle = 0.5 × area of circle = 0.5 × πr² = 0.5 × 25π = 12.5π cm²

Total area = 100+40+ 12.5π ≈ 179.25 cm²

Find the area of the kite.

Area=
(Simplify your answer)

Answers

I’m pretty new at this but i think you would multiply 6 by 7 to both sides and then divide by 2 and then do the same with 3 and 6 divide by two and then add them together to get 60?

6 grade math pls help and do step by step

Answers

Answer:

14

Step-by-step explanation:

13-2=11 then 11x 3 =33 then 33-25=8+=14

Answer:

Step-by-step explanation:

PEMDAS is going to be your best friend bud. It stands for Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction. This is the order you will use for all problems like this in the future. Start by solving everything inside the parenthesis.

6+3(11)-5^2=?

Now that all the parenthesis are gone we move on to exponents.

6+3(11)-(5*5)=?

6+3(11)-25=?

Now that all exponents are gone we solve for multiplication and division, whichever comes first when reading from left to right.

6+33-25=?

The final step is to add and subtract from left to right.

Hope this helps!

7/8 − 1/3 =
i need help

Answers

Answer:

Step-by-step explanation:

7/8-1/3=13/24

Answer:

13/24

Step-by-step explanation:

7/8 = 21/24

1/3 = 8/24

21/24 - 8/24 = 13/24

If it takes 30 apples to fill 2 boxes, how many apples are needed to fill 3 boxes?

Answers

Answer: 45 apples will be needed to fill 3 boxes

Step-by-step explanation: If there are an even amount of apples in each box, 15 times 2 is 30. So if there are 15 apples in each box, 15 times 3 is 45.

Answer:45 apples

Step-by-step explanation:

Since 15 apples are needed to fill 1 box, 45 apples are needed to fill 3 bboxes

A clubs first meeting was attended by 2 people. The second meeting was attended by 4 times as many people as the first meeting. How many people attended the second meeting?

Answers

Answer:

The answer would be 8 people attended in the second meeting.

Step-by-step explanation:

Multiply 2 by 4 to get 8.

Ann's grade is the average of four scores: three chapter tests and a final
that counts as two chapter tests. She scored 72, 90, and 75 on the chapter
tests. What score does she need on the final to have a grade of at least 80?

Answers

Answer:

f = 81.5

Step-by-step explanation:

hello!

to be able to find the score she needs to have a final grade of at least 80, we use the following equation:

[tex]\frac{72+90+75+2f}{5}=80[/tex]

To get rid of the denominator, we multiply both sides of the equation by 5. Once we do, 5 gets canceled and 80 * 5 = 400. Therefore:

237 + 2f = 400.

Transpose, then simplify.

2f = 400 - 237

2f = 163

Divide both sides by 2 to isolate f:

f = 81.5

3(6+b)-(2b +1)
Simplify the expression

Answers

the simplified version is b+17

Step-by-step explanation:

3(6+b)-(2b+1)

=18+3b-2b+1

=18+1+3b-2b

=19+b

A regular price bathing suit is $89.99. What is the new price if it on sale for 25% off the regular price?

Answers

Answer:

$67.49 and 1/4 of a cent

Step-by-step explanation:

25% of 89.99 = 224975

89.99-22.4975=67.4925

Answer:

25%=1/4  1/4 of 90= 22.5  90-22.5=67.5

Step-by-step explanation:

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A student is given three triangles and must determine which triangles are congruent. The student is also told that B = D = Y. Which of the following statements is true? A measuring tape is generally a more precise tool for measuring length thanhaving a person "step off" the distance.A. TrueB. False Which of Diocletian's economic changes helped bring short-term order to Rome?* He started a new coin system and expanded trade.He abolished coins and implemented a barter system.He minted more coins and allowed free markets.He standardized coins and established fixed prices. Which expression is undefined? I need to write a word problem for this equation and I don't know how to get started. Help!!!! N + (n + 8) + 2n = 364 The equation h(t) = -16t^2? + 32t + 128 models the path of a ball thrown in the air from the top of a building. After how many seconds does the ball reach its maximumheight? Concept Check: Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable.75174300-61-90 I charge my stylus 2-3 hours a day. But after all the charging the battery only lasts for 5 minutes. I hope someone can rectify this issue for me. Thank you.. Did someone who passed up an opportunity to see the solar eclipse in 2009 miss out? Support your answer with reasons and evidence from the lesson called "The Sky Went Dark."Your response should be a paragraph which includes the following PLEASE HELP WILL GIVE BRAINLIESTWhich of the following sentence pairs utilizes assonance and consonance? A. She waves her hand to say Stacy! to a friend waiting to play. He cant suspect that she meant to contact a cat. B. She needs to wear beads if she leads the parade. He would want to whimper for that. C. She sails seven ships on the salty seas. 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