Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the number of times that the die shows and observe the total number of heads. For example, if the die shows three dots facing up and the coin (which is then tossed three times) comes up heads exactly twice, then the outcome of the experiment can be represented as (3, 2).
a. Determine a sample space for this experiment.
b. Determine the event that the total number of heads is even.

Answers

Answer 1

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}


Related Questions

19. Eight hot dogs at the baseball park cost $28.
How much does one hot dog cost?
(let h = price of one hot dog)

Answers

Answer:

h= $3.50

Step-by-step explanation:

28 / 8 =

PLEASE HELP

What was similar about Venice and Naples during the Renaissance?

Both were major port cities.
Both were home to the Medici.
Both were weapons-manufacturing cities.
Both were connected to Asian land routes.

Answers

Answer:

Both were major port cities. (A)

Step-by-step explanation:

Answer:

The correct answer is A. Both were major port cities

Step-by-step explanation:

I am 100% sure

What are possible name(s) for the y-coordinate?
A domain
B range
C dependent variable
D independent variable
E input
F output

Answers

Answer:

D. cmdjjcmcjdkxjjskxkxmjxjxkxjmxjddkkxxkxjjsikskkkxksk

Answer:

B. Range C. Dependent Variable F. Output

Step-by-step explanation:

hellppppppooooooppppppppppp​

Answers

Answer:

A

hope i helped

1/3x = 6
solve equation mentally

Answers

Answer:

x=18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The cookie recipe had the ratio of oatmeal to raisins as 5 to 1. If 6 cups of oatmeal is required, how
many cups of raisins are needed?

Answers

Answer:

1.2 cups of raisins or 1 and 1/5 cups of raisins. (Same thing) :)

Step-by-step explanation:

6/5 is 1.2. So multiply the 1 by 1.2 as well to get 1.2. This was solved by using proportions.

Hope it helps!

A cellular phone network uses towers to
transmit calls. If the equation of the circular area
transmits by the tower is represented by (x-5)2 +
ly-1)2 = 22. Can you identify if you are inside or
outside of the circular area, if your coordinate
location is (6,0)? How about if your location is
(8,2)?​

Answers

Answer:

Both [tex](6,\, 0)[/tex] and [tex](8,\, 2)[/tex] are inside this circular area.

[tex](6 - 5)^{2} + (0 - 1)^{2} = 2 < 22[/tex].

[tex](8 - 5)^{2} + (2 - 1)^{2} = 10 < 22[/tex].

Step-by-step explanation:

Equation for a circle in 2D, with center [tex](a,\, b)[/tex] and radius [tex]r[/tex]:

[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].

Compare this expression with the one from this question:

[tex](x - 5)^{2} + (y - 1)^{2} = 22 = \left(\sqrt{22}\right)^{2}[/tex].

Hence: [tex]a = 5[/tex], [tex]b = 1[/tex], and [tex]r = \sqrt{22}[/tex].

Therefore, [tex]\! (5,\, 1)[/tex] and [tex]\sqrt{22}[/tex] would be the center and the radius of the circle [tex](x - 5)^{2} + (y - 1)^{2} = 22[/tex].

A point is inside a circle if and only the Euclidean distance between that point and the center of that circle is smaller than the radius of the circle. That is the same as requiring that the square of the Euclidean distance between these two points to be smaller than the square of the radius of the circle.

Formula for the Euclidean distance between [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex]:

[tex]\displaystyle \sqrt{(x_1 - x_2)^{2} + (y_1 - y_2)^{2}}[/tex].

The square of the Euclidean distance between these two points would be:

[tex]\displaystyle (x_1 - x_2)^{2} + (y_1 - y_2)^{2}[/tex].

Calculate the square of the distance between [tex](6,\, 0)[/tex] and the center of the circle, [tex](5,\, 1)[/tex].

[tex](6 - 5)^{2} + (0 - 1)^{2} = 2[/tex].

The square of this distance is smaller than [tex]22[/tex], the square of the radius of this circle. Hence, the point [tex](6,\, 0)[/tex] is inside this circle.

Similarly, calculate the square of the distance between [tex](8,\, 2)[/tex] and the center of the circle, [tex](5,\, 1)[/tex].

[tex](8 - 5)^{2} + (2 - 1)^{2} = 10[/tex].

The square of this distance is smaller than [tex]22[/tex], the square of the radius of this circle. Hence, the point [tex](8,\, 2)[/tex] is also inside this circle.

Notice that the point [tex](x,\, y)[/tex] is on the 2D circle [tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex] if and only if [tex]x[/tex] and [tex]y[/tex] satisfy the equation of that circle.

On the other hand, [tex](x,\, y)[/tex] is inside this circle if and only [tex]x[/tex] and [tex]y[/tex] satisfy the inequality [tex](x - a)^{2} + (y - b)^{2} < r^{2}[/tex].

Both [tex](6,\, 0)[/tex] and [tex](8,\, 2)[/tex] satisfy the inequality [tex](x - 5)^{2} + (y - 1)^{2} < 22[/tex]. Hence, both points are inside the circle [tex](x - 5)^{2} + (y - 1)^{2} = 22[/tex].

$13,000 was borrowed from two sources, one that charges 15% simple interest and the other that charges 10% simple interest. If the total interest at the end of 1 year was $1750, how much money was borrowed from each source?

Answers

9514 1404 393

Answer:

$9,000 at 15%$4,000 at 10%

Step-by-step explanation:

Let x represent the amount borrowed at 15%. Then the amount borrowed at 10% is (13000-x). The interest at the end of the year is ...

  0.15(x) + 0.10(13000 -x) = 1750

  0.05x = 1750 -1300 . . . . . . . . . . . . simplify, subtract 1300

  x = 450(20) = 9000 . . . . . . . . . . multiply by 20

$9,000 was borrowed at 15%; $4,000 was borrowed at 10%.

helppp!! For the given solid figure, find the value of the variable.

Answers

9514 1404 393

Answer:

  10 cm

Step-by-step explanation:

The diameter of the cylinder is 6 cm, so the length designated 'c' is the hypotenuse of a right triangle with legs 6 cm and 8 cm.

The Pythagorean theorem tells you the hypotenuse is ...

  c^2 = (6 cm)^2 + (8 cm)^2 = 100 cm^2

  c = √(100 cm^2) = 10 cm

The value of c is 10 cm.

_____

You may recognize these numbers as double those of a 3-4-5 right triangle.

80% of salmon pass through a single dam unharmed. By what percent does the number of salmon decrease when passing through a single dam?

Answers

Answer:20%

Step-by-step explanation:

Answer: 20%

Step-by-step explanation:

what is the additive inverse of the complex number -8+3i​

Answers

Answer:

8-3i

Step-by-step explanation:

additive inverse of a+bi is -(a+bi)

so -(-8+3i) -- distribute negative through ()

8-3i

Pls help I’ll brainlest

Answers

Answer:

8

Step-by-step explanation:

Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?

To find our answer, we can solve the equation:

20x + 60 = 220

        -60    -60

20x = 160

/20    /20

x = 8

Jeremiah bought 8 toy sets!

I hope this helps :)

Shelly is tying to improve her running time for track race. She ran the first race 43.13 seconds. Her time was 43.1 seconds in the second race and 43.07 seconds in the third race. If this patteren continues, what will Shelly's time be in the fourth race?

Answers

Answer:

42.77

Step-by-step explanation:

The pattern is taking away 0.3. 43.07 minus 0.3 equals 42.77

A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through a door is a failure, then the person will not make any further attempts. Let P denote a successful pass and F denote a failed pass. What is the sample space for this random experiment

Answers

Answer:

Sample space is [tex]\{F,PF,PPF,PPP\}[/tex]

Step-by-step explanation:

Number of security doors = 3

Let P denote a successful pass and F denote a failed pass.

Sample space refers to a set of all possible outcomes.

If the first attempt to pass through a door is a failure, then the outcome is F.

If the second attempt to pass through a door is a failure, then the outcome is PF.

If the third attempt to pass through a door is a failure, then the outcome is PPF.

If the fourth attempt to pass through a door is a failure, then the outcome is PPP.

Sample space is [tex]\{F,PF,PPF,PPP\}[/tex]

WILL MARK BRAINLIEST!!!


Write each of the following numerals in base 10. For base​ twelve, T and E represent the face values ten and​ eleven, respectively.
a. 231 five
b. 11001 two
c. 12T twelve

Answers

142 in base 5 means 1(52) + 4(51) + 2(50) = 25 + 20 + 2 = 47

11011 in base 2 means 1(24) + 1(23) + 0(22) + 1(21) + 1(20) = 27

39T in base 12 means 3(122) + 9(121) + 10(120) = 550

PLZ help me with this question

Answers

Answer:

A

Step-by-step explanation:

:))

The answer is A eikenekskwneej

PLZ ANSWER THESE QUESTIONS IF YOU KNOW ALGEBRA PLZ PLZ PLZ PLZZZZZZZZZZZZ I WILL GIVE BRAINLY AND ALL MY POINTS PLZZ HELP ME
I AM A YOU TUBER I WILL CHEAT IF I HAVE TO

Answers

Answer:

Algebra (from Arabic: الجبر‎ al-jabr, meaning "reunion of broken parts"[1] and "bonesetting"[2]) is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols;[3] it is a unifying thread of almost all of mathematics.[4] It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians.

Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.[5] For example, in {\displaystyle x+2=5}x+2=5 the letter {\displaystyle x}x is an unknown, but applying additive inverses can reveal its value: {\displaystyle x=3}x=3. In E = mc2, the letters {\displaystyle E}E and {\displaystyle m}m are variables, and the letter {\displaystyle c}c is a constant, the speed of light in a vacuum. Algebra gives methods for writing formulas and solving equations that are much clearer and easier than the older method of writing everything out in words.

The word algebra is also used in certain specialized ways. A special kind of mathematical object in abstract algebra is called an "algebra", and the word is used, for example, in the phrases linear algebra and algebraic topology.

A mathematician who does research in algebra is called an algebraist.

You are making peanut butter and jelly sandwiches. The cost of 4 containers of peanut butter and 7 containers of jelly is $6.95. Eight containers of peanut butter and 6 containers of jelly cost $8.45. Find the cost of each container of peanut butter.


HELPP ME
PLEASEEEEEEEHEHASHEJ

HELPPP

Answers

Answer:

peanut butter cost $0.55

Step-by-step explanation:

j=jelly

p=peanut butter

4p+7j=$6.95

8p+6j=$8.45

solve for p:

8p=8.45-6j

p=(8.45-6j)/8

substitute for p

4(8.45-6j)/8+7j=6.95

reduce

(33.8-24j)/8+7j=6.95

4.225-3j+7j=6.95

4j=6.95-4.225

4j=2.725

j=0.68125

8p+6(0.68125)=8.45

8p+4.0875=8.45

8p=4.3625

p=0.5453

12. Ryan deposited $3,500 in a savings account with
an interest rate of 3% per year. How much simple
interest will he earn in 4 years?

Answers

The answer to this question is 420 dollars

Write the quadratic equation whose roots are 6 and -6, and whose leading coefficient is 2.
(Use the letter x to represent the variable.)


Answers

Answer:

[tex]2x^2-6[/tex]

Step-by-step explanation:

If a quadratic equation has a root at a certain point, the x value must equal. zero.  If we want to have the function reach 6 and -6 as roots:

x = 6

x - 6 = 0

x = -6

x + 6 = 0

Combining the two we get (x+6)(x-6) which will give us a quadratic equation.

Expanding: [tex]x^2-6x+6x-6 = x^2-6[/tex]

The leading coefficient is the number before the variable with the highest power, which is 2: [tex]2x^2-6[/tex]

What is arctan(−1)?


Negative StartFraction 3 pi Over 4 EndFraction
Negative StartFraction pi Over 4 EndFraction
StartFraction pi Over 4 EndFraction
StartFraction 3 pi Over 4 EndFraction

Answers

Answer: -pi/4 and 3pi/4

Step-by-step explanation:

Whenever you're given an inverse trig function like this, think "tangent of what gives me -1?" There are multiple ways in which you can solve this; knowing how tangent work, guess checking sin/cos to get -1, or using a calculator. The only way tangent can be an integer is if the sine and cosine of the angle are equal.

The only spots on the pi circle where this happens is pi/4, 3pi/4, 5pi/4, and 7pi/4. Answers B and D are correct

Answer:

b

Step-by-step explanation:

just did it on edg 2020

Which ordered pair is a solution of y > 2x - 3?

a. (-1, -5)
b. (1, -5)
c. (2, 3)
d. (2, -2)

Answers

Answer:

c. (2,3)

Explanation:

2/3-5/9 find each difference

Answers

Answer:

1/9

Step-by-step explanation:

6-5/9

1/9

Answer:

2/3=6/9 (Equilising denominators using lcm)

Now we have equal denominators, so can subtract.

Therefore,

6/9-5/9

=6-5/9

=1/9

To make an international telephone call, you need the for the country you are calling. The codes for country A, country B, and C are three consecutive integers whose sum is 90. Find the code for each country.

Answers

Answer: 3 consecutive integers

x = 1st integer (country A)

x + 1 = 2nd integer (country B)

x + 2 = 3rd integer (country C)

whose sum is 114

x + (x + 1) + (x + 2) = 114...combine like terms

3x + 3 = 114

3x = 114 - 3

3x = 111

x = 111/3

x = 37 <== country A

x + 1 = 37 + 1 = 38 <==country B

x + 2 = 37 + 2 = 39 <== country C

Step-by-step explanation:

Answer:

29, 30, 31

Step-by-step explanation:

(x) + (x+1) + (x + 2) = 90

3x + 3 = 90

x = 29

(29) + (30) + (31) = 90

The table shows the number of markers in different numbers of boxes.

Answers

Answer:







Explanation:

Answer: 12

Step-by-step explanation: 12+12 = 24 + 12 = 36+12=48+12=60

when the denominators are the same, the fraction with the _____ is the largest fraction ​

Answers

Bigger numerator

Means bigger fraction

When the denominators are the same, the fraction with the bigger numerator is the largest fraction .​

What is the fraction?

In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

It is simpler to identify the larger or smaller fraction when comparing fractions with the same denominator. We may easily find the fraction with the larger numerator by first determining whether the denominators are the same.

Therefore, when the denominators are the same, the fraction with the bigger numerator is the largest fraction .​

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

Triangle EFG is dilated by a scale factor of į to form triangle E'F'G'. What is the
measure of side FG?

Answers

The answer is B 36 degreees

What is 1/3+1/6 I thought it was 36 but my teacher said no so can you help me because I don’t under stand this work pls help I need it now

Answers

Answer:

1/2

Step-by-step explanation:

Given the mathematical expression;

[tex] \frac {1}{3} + \frac{1}{6} = 0 [/tex]

First of all, we would determine the lowest common multiple for 3 and 6.

Lcm = 6

[tex] \frac {1}{3} + \frac{1}{6} = \frac {2 + 1}{6} [/tex]

[tex] \frac {2 + 1}{6} = \frac {3}{6} [/tex]

[tex] \frac {3}{6} = \frac {1}{2} [/tex]

Therefore, 1/3 + 1/6 = 1/2

Lara buys bananas for $0.59 per pound. Which expression represents the cost of p pounds of bananas?

Answers

You didn’t include the answer choices but is total=0.59p
No answer choices??! 0.59p

4 cups to 8 pints write each ratio in simplest form

Answers

Answer:

1:4

Step-by-step explanation:

Convert 8 pints into cups which we can do this by 8x2=16 we can do this because 1 pint=2 cups. So know we have 4:16 which we can simplify to 1:4

Hope this helps :)

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