what is 78+34 is the same as 80+
Answer:
112 its the same as 80 + 32
The expression is 78+34=80+32
What is equivalence?Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation.
Given here, 78+34=112 and 80+32 =112 thus, 78+34=80+32 The equivalence is preserved.
Hence, The expression is 78+34=80+32
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16. A section of an exam contains four True-False questions. A completed exam paper is selected at random, and the four answers are recorded. a. List all outcomes in the sample space. b. Assuming the outcomes to be equally likely, find the probability that all the answers are the same. c. Assuming the outcomes to be equally likely, find the probability that exactly one of the four answers is "True." d. Assuming the outcomes to be equally likely, find the probability that at most one of the four answers is "True."
Answer:
a
[ FFFF] , [FFFT] , [FFTF] , [FFTT]
[FTFF] , [FTFT] , [FTTF], [FTTT]
[TFFF] , [TFFT] , [TFTF] , [TFTT]
[TTFF] , [TTFT],[TTTF] , [TTTT]
b
[tex]P(A) = \frac{1}{8}[/tex]
c
[tex]P(B) = \frac{1}{4}[/tex]
d
[tex]P(C) = \frac{5}{16}[/tex]
Step-by-step explanation:
From the question we are told that
The number of True - False question is n = 4
The number of answers recorded are k = 4
Generally the outcomes in the sample space are 16 and they are listed below
[ FFFF] , [FFFT] , [FFTF] , [FFTT]
[FTFF] , [FTFT] , [FTTF], [FTTT]
[TFFF] , [TFFT] , [TFTF] , [TFTT]
[TTFF] , [TTFT],[TTTF] , [TTTT]
Generally from the list of the possible outcome we see that the number of outcome where the answers are the same is 2 i.e [TTTT] and [FFFF]
So the probability that all the answers are the same is mathematically represented as
[tex]P(A) = \frac{2}{16}[/tex]
=> [tex]P(A) = \frac{1}{8}[/tex]
Generally from the list of the possible outcome we see that the number of outcome where exactly one answer is true is 4 i.e [FFTF] , [FFFT],[TFFF] , [FTFF]
So the probability that exactly one of the four answers is "True." is mathematically represented as
[tex]P(B) = \frac{4}{16}[/tex]
=> [tex]P(B) = \frac{1}{4}[/tex]
Generally from the list of the possible outcome we see that the number of outcome where at most one of the four answers is true is 5 i.e [FTFF] , [FFFF] , [FFTF] , [FFFT] ,[TFFF]
So the probability that at most one of the four answers is mathematically represented as
[tex]P(C) = \frac{5}{16}[/tex]
The probabilities of all same, exactly one true, and most one of the four are true is 0.125, 0.25, and 0.3125 respectively.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
A section of an exam contains four True-False questions.
A completed exam paper is selected at random, and the four answers are recorded.
Total event = 16
A. The sample space will be shown in the table below.
[tex]\rm Sample \ space = 16 \ \begin{Bmatrix}FFFF & FFFT & FFTF & FFTT \\FTFF & FTFT & FTTF & FTTT \\TFFF & TFFT & TFTF & TFTT \\TTFF & TTFT & TTTF & TTTT\end{Bmatrix}[/tex]
B. The probability that all the answers are the same will be.
Favorable event = 2 ={(TTTT, FFFF}
Then we have the probability,
[tex]\rm P(B) =\dfrac{2}{16} =\dfrac{1}{8} = 0.125[/tex]
C. The probability that exactly one of the four answers is "True".
Favorable event = 4 {(FFFT, FFTF, FTFF, TFFF}
Then we have the probability,
[tex]\rm P(C) =\dfrac{4}{16} =\dfrac{1}{4} = 0.25[/tex]
D. The probability that at most one of the four answers is "True".
Favorable event = 5 {(FFFF, FFFT, FFTF, FTFF, TFFF}
Then we have the probability,
[tex]\rm P(D) =\dfrac{5}{16} =0.3125[/tex]
More about the probability link is given below.
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A construction worker needs to move 120 ft squared (3) of dirt by using a wheelbarrow. One
wheelbarrow load holds 8 ft squared(3) of dirt and each load takes him 10 minutes to complete
. One
correct way to figure out the number of hours he would need to complete this job is
Answer:
it would take him 1.5 hours (an hour and 30min.)
Step-by-step explanation:
120 divided by 8 = 15
15 divided by 10 = 1.5
The number of hours he would need to complete this job is 2.5 hours.
What is PEDMAS rule?"PEDMAS is an order of operation used in mathematics to deal easily with complex calculations. It states that we start solving any arithmetic expression by solving the terms written in parentheses or brackets and then we simplify exponential terms and move ahead to division and multiplication operations and then, at last, we can find the answer by solving addition and subtraction operations."
According to the question
A construction worker needs to move 120 feet squared (3) of dirt by using a wheelbarrow.
One wheelbarrow load holds 8 feet squared(3) of dirt and each load takes him 10 minutes to complete.
Writing the above statement in mathematical form
= (120 ÷ 8) × 10
By using PEDMAS rule, we get
= 15 × 10
= 150 mins
= 150 ÷ 60
= 2.5 hours
Thus, the number of hours he would need to complete this job is 2.5 hours.
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The frequency distribution chart below represents scores from a math quiz. A histogram titled frequency has score on the x-axis and frequency on the y-axis. 65 to 70 is 1, 71 to 76 is 1, 77 to 82 is 1, 83 to 88 is 3, 89 to 94 is 4, 95 to 100 is 2. Which statement best describes the data? a. The data is skewed left. c. The data is skewed right. b. The data is symmetric. d. There is no pattern to the data.
Answer:
a. the data is skewed to the left
Step-by-step explanation:
on the left most of the data is lower than the data on the right + i took the quiz
Answer:
A
Step-by-step explanation:
I’ll mark brainliest!!!! What is the length of BC in the right triangle below?
A. 63
В. 3
С. 21
D. -/63
E. 15
Е 225
Answer:
E. 15
Step-by-step explanation:
Use the Pythagorean theorem: a²+b²=c²
9²+ 12²= c² (This is the info we have so far.)81 + 144 = c² (Simplify. 9² = 81 ; 12² = 144)
225 = c² (Added 81 + 144 = 225)√225 = 15 (Square root of 225 is 15.)
Answer:
Step-by-step explanation:
15
PLZZZZ ANSWER QUICKKKKKK BY MIDNIGHTTTT
how many steps do we take from 0 to -13???
Answer:
13
Step-by-step explanation:
because thats how u get to 13
Which input value produces the same output value for the two functions on the graph?
x = −3
x = −2
x = −1
x = 3
Answer:
The answer is -2
Step-by-step explanation:
im just built diffrent
An electric company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used, x 200 The function b(ar) = { 0.102, 0.15(x - 200) +20, 200 determines the bill How much is the bill for a person who uses 800 kWh in a month?
Answer:
$110
Step-by-step explanation:
=0.15(x-200)+20
=0.15(800-200)+20
=0.15(600)+20
=90+20
=$110 paid
Sippose there is a 1.4 drop in temperature for every thousand feet that an airplane climbs into the sky if the temperature on the ground is 53.2 what will the temperature when the plane reaches a altitude of 8,000
Answer:
whats rhe question my g
Stonebridge neighborhood garage sale have the cash receipts for 5 days:
$136.97
$256.21
$366.10
$176.04
$72.49
Answer:
$1,007.81
Step-by-step explanation:
What is the cardinal number of the set C={0,5,−4,25,103,56}
Answer:
I wanna say its Hence n (Q) =7
I may be mistaken
Answer:
6
Step-by-step explanation:
The set is made up of 6 elements. Therefore, the cardinal number is 6.
When you barter, you must ______ in order to buy something ?
Answer: exchange
Step-by-step explanation:
Answer:
Trade it for something else.
Step-by-step explanation:
when bartering, you trade for items you want, and give away items you don’t want. You should also consider if the item you are trading for works. Be skeptical about the things you are trading Or giving. And make sure to also to get a good trade, and not blame others for them doing a bad trade.
Hope this helps!- Artistsani
NEED HELP GIVING 15 POINTS
Answer:
Jack is incorrect. The correct answer is 2
Step-by-step explanation:
The question is given as:
4x-24 / (y+w) where x=5, y=3 and w= -5
Substitute values of x, y and w in the equation as;
4*5 - 24 / (3+-5)
20 - 24 / (-2)
-4 / -2 = 2
Jack's answer is 7 which is wrong. The correct answer is 2
2 is correct because you have substituted the real values of x,y and w in the expression and performed the operation right.
A farmer notes that in a field full of horses and chickens there are 35 heads and 98 feet. How many of each animal are there?
Answer:
There are 14 horses and 21 chickens.
Step-by-step explanation:
First, you have to make expression for horse and chicken. So we can let x be the number of horses and y will be the number of chickens. Next, given that the total number of feet for both animals is 98 so you have to make simultaneous equation :
[tex]4x + 2y = 98[/tex]
( horse has 4 feet and chicken has 2 feet )
There are a total of 35 heads so the other equation will be :
[tex]x + y = 35[/tex]
Lastly, you have to solve it :
[tex]4x + 2y = 98[/tex]
[tex]2(2x + y) = 98[/tex]
[tex]2x + y = 49 - - - (1)[/tex]
[tex]x + y = 35 - - - (2)[/tex]
[tex](1) - (2)[/tex]
[tex]2x + y - x - y = 49 - 35[/tex]
[tex]x = 14[/tex]
[tex]substitute \: x = 14 \: into \: (2)[/tex]
[tex]14 + y = 35[/tex]
[tex]y = 35 - 14[/tex]
[tex]y = 21[/tex]
Listed below are the heights from a sample of male students (in inches). 75 72 72 73 74 65 69 74 70 70 71 75 71 75 69 75 78 70. How many students are measured?
Answer:
18
Step-by-step explanation:
count
The number of students measured in this sample is 18.
The number of students measured is the number of heights that were acquired for the sample.
Looking at the question, the number of heights acquired were 18 which means that there were 18 students.
Knowing the number of students is important as it can help you calculate things such as mean:
Mean = Sum of heights / Number of students
= (75 + 72 + 72 + 73 + 74 + 65 + 69 + 74 + 70 + 70 + 71 + 75 + 71 + 75 + 69 + 75 + 78 + 70) / 18
= 72.11
In conclusion, the number of students measured is 18.
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Need help on this pleaseeeeee
Answer:
I think it's C
Step-by-step explanation:
I just rotated point K 180 degrees and C was the only one with the coordinate points I got for K'
Maliah goes to an electronic store. Let y represent the price of a laptop and let x
represent the price of a television. The equation y= 3x + 22 relates the prices.
Which of the following statements are true? Select all that apply.
Answer:
A and C if this was ABCDE
Step-by-step explanation:
150 times 3 plus 22 would equal 450 plus 22 which is 472,
265 times three is 795 plus 22 is 817,
for the BDE, 175 times 3 is 525 plus 22 is 547, 300 times 3 is 900 plus 22 is 922, and 345 times 3 is 1035 plus 22 is 1057
HELPPPP!!!! PLEASEEE!!!
Which statement below is true?
A. If p → q is true, then q → p is true.
B. If p → q is true and p is true, then q is true.
C. If p → q and q → r are true, then q → p is true.
D. If p → q and q → r are true, then r → p is true.
Answer:
D is correct
Step-by-step explanation:
p=q then q is the same as p and if r=p that is true
Write an equation for the description.
Tanmayi wants to raise $150 for a school fundraiser. She has raised $100 so far. How much more does she
need to reach her goal? Let m be how much more is needed.
Plzzzzzz helppppp
Answer: 50
Step-by-step explanation: All you need to do is subtract $100 from $150, and you'll get 50 as your answer. Hope this helps!
Which lists all the multiples of 6 that are less than 20?
O 6,9,12,15,18
O 6.12
O 6.12.18
O 6, 12, 18, 24
Answer:
6 , 12 ,18
Step-by-step explanation:
6 time 2 = 12
6 times 3 = 18
not more that 20 so that is it
The metal day fair has a recycling center that will a pay 10% early fee on the amount collected plus $2.75 for each metal collected to be recycled .If Isa brings 12.5 kilograms of metal to be recycled which is the closet amount of money she will receive.
Answer:
$37.8125
Step-by-step explanation:
$2.75 x 12.5 = 34.375
34.375 x 10% = 3.4375
$34.375 + 3.4375 = 37.8125
A container holds 13 pencils, 5 black pens, and 3 blue pens. What is the ratio, in fraction form, of pens to all writing tools?
Answer:
8/21
Step-by-step explanation:
Find the comthon ratio of the geometric sequence 10,60, 360,...
Answer:
10
Step-by-step explanation:
The common ratio of the geometric sequence 10,60, 360,... is 6.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, A geometric sequence 10,60, 360,...
We know the common ratio r in a geometric sequence is
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Therefore,
The common ratio in this geometric sequence 10,60, 360,... is,
= 60/10 = 360/60 = 6.
So, The common ratio is 6.
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What is the equation for a line with slope = 3 that passes through point (2, 5)?
a. y = 3x - 13
b. y = 3x - 1
C. y = 3x - 5
What is the rule for reflecting a figure over the x-axis?
A
(x, y) --> (y, x)
B
(x, y) --> (x, -y)
C
(x, y) --> (-x, y)
D
(x, y) --> (-y, -x)
Answer:
(x,y)→(−x,y) .
Step-by-step explanation:
solve and then write the sum in standard form. 1 tenth +2 tenths = -------tenths== -----
Answer:
Solve: 3 tenths
Standard form: 0.3
Estimated sum of 71,458
Answer:
there can be a lot example:
71,000
71,500
71,460
Step-by-step explanation:
Plzz do correctly also worth a lot of points
Answer:
I believe the Answer is B
I'm really sorry if this is wrong.
Step-by-step explanation:
I tried my best :)
HELPPP PLEASE!!!!! SHOW ALL WORK!!!
Answer:
22
Step-by-step explanation:
2x+12=x+34
2x-x=34-12
x=22