Answer:
26.6666666667
Step-by-step explanation:
3/4 of a hour is 45 minutes 12 ÷ by 0.45 would equal 26.6666666667
Determine the following probabilities. Enter your final answers as reduced fractions. Two coins are flipped. Find the probability that the first coin land on heads and the second coin lands on heads. Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second card. Find the probability that the first card is black and the second card is a 8. A single digit between 0 and 9 is randomly chosen, and a single letter from A to Z is randomly chosen. Find the probability that the number is 4 and the letter is a consonant. Two dice are rolled. Find the probability that first die lands on an even number and the second die is less than 2.
The probability of an event occurring is given by the ratio of the number of
possible outcome to the number of required outcome.
First question: The probability that the first coin lands on heads and the second coin lands on tails is 0.25.Second question: The probability of drawing a black card and then a 8 is [tex]\underline{\dfrac{1}{13}}[/tex].Third question: The probability that the number chosen is 4 and the letter chosen is a consonant, is [tex]\underline{\dfrac{21}{234}}[/tex].Fourth question: The probability that the first die lands on an even number and the second die is less than 2, is [tex]\underline{\dfrac{1}{12}}[/tex].Reasons:
First question:
The number of faces in a coin = 2; A head or a tail
The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]
The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]
The probability that the first coin lands on heads and the second coin lands
on tails = P(H ∩ T)
Which gives;
[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]
The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25
Second question:
The number of black cards in a pack of 52 = 26 cards
The number of cards that are a 8 in a pack of 52 cards = 8 cards
[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]
[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]
The probability of drawing a black card and then an 8, P(B∩8), is given as follows;
[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]
The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]
Third question:
The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]
The number of consonant in the alphabet = 21
The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]
The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C) = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]
Fourth question:
The number of even numbers on a die = 3; (2, 4, 6)
The number of numbers less than 2 on a die = 1
The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]
The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]
Therefore;
The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]
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What is an eigenvalue.
Answer: Eigenvalues are a special set of scalars associated with a linear system of equations (i.e., a matrix equation) that are sometimes also known as characteristic roots, characteristic values (Hoffman and Kunze 1971), proper values, or latent roots (Marcus and Minc 1988, p. 144).
Step-by-step explanation:
many non-profit groups ask for donations during december. do men give higher monetary donations than women in the month of december? how should we write the alternative hypothesis? let mum be the population mean donation for men and let muw be the population mean donation for women.
Solve 2x + 3(x+ 10) = 60.
O A. x = 6
O B. x = 5
O C. x= 3
O D. x = 7
Answer:
A. x = 6
Step-by-step explanation:
2x+3(x+10)=60
Use the distributive property to multiply 3 by x+10.
2x+3x+30=60
Combine 2x and 3x to get 5x.
5x+30=60
Subtract 30 from both sides.
5x=60−30
Subtract 30 from 60 to get 30.
5x=30
Divide both sides by 5.
x=
5
30
Divide 30 by 5 to get 6.
x=6
The equation y = 0.8x can be used to calculate the cost (y) of x packs of bubble gum. What is the unit cost of bubble gum?
answer =0.8
Step-by-step explanation:
if y is the cost of x bubble gum where 0.8 is the value for one then o.8 is the unit
The unit cost of bubble gum is $0.8 per pack.
What is a linear equation?A straight line on a coordinate plane is represented by a linear equation. Y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept, which can be used to represent the equation (the point where the line intersects the y-axis).
The slope of a line, which reflects the steepness of the line, is calculated as the ratio of the change in y to the change in x between any two locations on the line. The line's intersection with the y-axis, or the value of y when x = 0, is known as the y-intercept.
The equation y = 0.8x represents the cost "y" of "x" packs of bubble gum. The coefficient of "x" in this equation is 0.8, which represents the cost per pack of bubble gum.
Therefore, the unit cost of bubble gum is $0.8 per pack.
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Find the slope of a line that passes through each pair of points.
(0, 1) (2, 7) 2) (4, 5) (1, 1) 3) (1, -2) (4, 7)
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
(0, 1) (2, 7)
x changes by +2 (from 0 to 2)
y changes by +6 (from 1 to 7)
the slope is +6/+2 = 6/2 = 3
(4, 5) (1, 1)
x changes by -3 (from 4 to 1)
y changes by -4 (from 5 to 1)
the slope is -4/-3 = 4/3
(1, -2) (4, 7)
x changes by +3 (from 1 to 4)
y changes by +9 (from -2 to 7)
the slope is +3/+9 = 3/9 = 1/3
Below are two parallel lines with a third line intersecting them.
The area of the octagon below is 10,391. 9 square millimeters. An octagon has an apothem of 56 millimeters and an area of 10,391. 90 square millimeters. What is the approximate perimeter of the octagon? Round to the nearest whole number. Mm What is the approximate length of one side of the octagon? Round to the nearest whole number. Mm.
The perimeter of the octogon is 371.14 millimeters, and each side is about 46.4 millimeters.
Given that an octagon has an apothem of 56 millimeters and an area of 10,391.90 square millimeters, to determine what is the approximate perimeter of the octagon and what is the approximate length of one side of the octagon, the following calculation must be performed:
(Perimeter x apothem) / 2 = Area 56X / 2 = 10,391.90 56X = 10,391.90 x 2 X = 20,783.80 / 56 X = 371,139 371.14 / 8 = 46.4
Therefore, the perimeter of the octagon is 371.14 millimeters, and each side is about 46.4 millimeters.
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Answer:
Perimeter is 371mm
Length of one side is 46mm
Step-by-step explanation:
Got it right on Edge :)
Rudolph will spend $150 on tickets to the Reindeer Games. Reserved seat tickets cost $25 and general admission
tickets cost $10. Write an equation that describes the number of tickets Rudolph can buy_How many tickets can
Rudolph buy if he buys only reserved seat tickets? Only general admission tickets?
The equation that describes the number of tickets Rudolph can buy will be 25r + 10g = 150.
Let the reserved tickets be represented by r.Let the general admission be represented by g.Therefore, the equation will be 25r + 10g = 150.
The number of tickets that Rudolph can buy if he buys only reserved seat tickets will be:
= $150 / $25 = 6
The number of tickets that Rudolph can buy if he buys only general admission tickets will be:
= $150 / $10 = 15
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How does the equation change when the radius changes? Unlike h and k, why is r always positive?
Answer:
When the radius is changed, the constant term (r2) in the equation changes—it becomes bigger as the radius becomes bigger. The term r is always positive because it denotes the length of the radius, which is a distance and not a position or location.
Step-by-step explanation:
The arithmetic sequence 2, 4, 6, 8, 10,. . . Represents the set of even natural numbers. What is the 100th even natural number? a100 = What is the sum of the first 100 even natural numbers? S100 = Complete the sentence below with less than, greater than, or equal to. The sum of the first 100 even natural numbers is the sum of the first 101 odd natural numbers.
The 100th even natural number is 200
Given the sequence 2, 4, 6, 8, 10....
The nth term of the sequence is expressed as:
Tn = a + (n - 1)d
a is the first term = 2
d is the common difference = 4 - 2 = 6 - 4 = 2
n is the number of terms
Substitute the given parameters into the formula
Tn = 2(n-1)2
Tn = 2+(2n - 2)
Tn = 2n
Get the 100th term
T10= 2(100) = 200
Hence the 100th even natural number is 200
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Answer:
1)
200
2)
10100
3)
less than
Step-by-step explanation:
on god
Nada drinks 54 glasses of water a week. How many glasses of water does she drink in 9 Weeks?
Answer: 486 glasses of water in 9 weeks
Step-by-step explanation:
54 X 9 = 486
Or you could add 54 to itself 9 times then you will get 486
Which of the following transformation sequences will produce similar, but not congruent, figures?
Answer:
The selected choice (#2) is correct
Step-by-step explanation:
Any rigid transformation (moving a figure, rotating it, flipping it around will leave the transformed figure congruent with the original. Scaling it (=dilating it) will generate a new figure what is similar to the original: angles remains the same but sides are in proportion.
Which function represents a translation of the graph of v=x^2
by 10 units to the left?
O A. v=x^2+10
O B. v=(x+10)^2
O C. y=10x^2
O D, y=(x-10)^2
Answer:
B.
Step-by-step explanation:
That would be y = (x +10)^2.
Brooke has a savings account. The account balance is $550.87 at the beginning of the month. The list below shoes all of the activity for one month.
- a deposit of $75.98
- a withdrawal of $34.88
- a deposit of $84.12
What is the balance in Brooke's savings account at the end of the month?
Answer:
676.09
Step-by-step explanation:
550.87 + 75.98 = 626.85
626.85 - 34.88 = 591.97
591.97 + 84.12 = 676.09 therefore that's the amount at the end of the month
About how many miles is 100,00 ft? HELP ASAP!
Answer:
18.939394miles
this is the correct answer happy
How to memorize the multiplication table games.
I think you should use cards! its really helpful tbh.
Step-by-step explanation:
Assuming that the jet cruises at this constant speed, how long do the pilots' watches measure for a complete circumnavigation of the globe? the radius of the earth is about 6380 km.
Laura wants to play a game in which each player gets 4 cards. She has a total of 29 cards. How many people can play? How many cards will be remaining?
Answer:
Only 7 people can play and 1 card will remain
Step-by-step explanation:
Answer:
7 people can play
Step-by-step explanation:
there will be 1 card remaining
PLZ Mark Brainliest
find the value of x thank you
3x - 7 + 2x - 3 = 90
<=> 5x -10=90
<=> 5x = 100
<=> x=20
ok done. Thank to me :>
When you mail a package that weighs more than one ounce, the Post Office charges 34 cents for the first ounce and 23 cents for each additional ounce.
Write a mathematical model of this question (in words). Let N stand for the number of ounces.
Total Cost =
How much does a package that costs $2.18 weigh?
Answer:
9 ounces
Step-by-step explanation: i just started with 0.34 and added 0.23 until i got to 2.18 lol
Simplify the expression below. −7×4×(−434)
Nellie says that 60 × 1,000 is 6,000 because there are three zeros in 1,000. Kara says 60 × 1,000 = 60,000. Whose thinking is correct? Explain.
Answer:
Kara is right
Step-by-step explanation:
60 × 1000= 60000What is the value of x + 2x when x=23?
Answer:
69
Step-by-step explanation:
23*2=46
23+46=69
[tex]x+2x = 3x \\\\\text{when x =23,}~ ~3x = 3(23) =69[/tex]
please help
y∝1/√x If y=5
when x=36 find,
x when y=3
Answer:
x = 100.
Step-by-step explanation:
y ∝ 1/√x
y = k /√x where k is a constant.
When x = 36 y = 5 so we have:
5 = k / √36
5 = k / 6
k = 30
So we have the relation:
y = 30 /√x
When y = 3
3 = 30/ √x
√x = 30/3 = 10
x= 100.
What is the relationship between these two vectors?
Answer:
a and c
Step-by-step explanation:
that's because they both have a and c....so their relationship is a and c
Help plz. I think the starting number is 100% Buu I don't know.
Answer:
19%
Step-by-step explanation:
if the starting number is 100 then 100 decreased by 10% is 100 times 0.9 =90
and decrease 10% again is 81 and in total decrease by 19%
ben put £1000 into a savings account. the interest rate was compound at 0.65% per year. at the end of x years he had made £53.20 in interest show that x=8
Answer:
Below.
Step-by-step explanation:
Using PRT/100 = I, we can prove that x = 8.
=> 1000 x 0.65 x 8/100
=> 10 x 0.65 x 8
=> 6.5 x 8
=> £52
Unfortunately, something is wrong with the question. Please re-check the question to make sure it is right. I have tripled checked my answer and it is right.
You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?
Answer:
Yes
Step-by-step explanation:
20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so that gives you 84 % . So you scored %84.
Good job
the nth The nth term of a sequence is n-4 what is the tenth term
Step-by-step explanation:
the nth term is n-4, so the 10th term (that means n = 10) is then 10-4 = 6
n-4 is the rule of the sequence.
Simply replace "n" with a number and solve your equation.
For example, if you are finding the 5th term, you do it like this:
= n - 4
= (5) - 4
= 1
Now, as you asked, the tenth term:
= n - 4
= (10) - 4
= 6