Answer:
180 cm
Step-by-step explanation:
Number of trials per team = 3
Distance per trial for team D's car is the same for each trial, let distance = x
Distance per trial for team C's car is 1cm farther than team D's distance and the same for each trial, hence, distance = x + 1 per trial
Total distance traveled by C = 543 cm
This means :
(x + 1) + (x + 1) + (x + 1) = 543
3x + 3 = 543
3x = 543 - 3
3x = 540
x = 540 / 3
x = 180
Hence, distance traveled per trial for team D's car = x = 180 cm
What is the probability of getting a heads on a coin and then getting a 5 on a number cube?
Answer:
In probability theory, sample space (also called sample description space[1] or possibility space[2]) of an experiment or random trial is the set of all possible outcomes or results of that experiment.[3] A sample space is usually denoted using set notation, and the possible ordered outcomes are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols. They can also be finite, countably infinite, or uncountably infinite.[4]
For example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}, commonly written {H, T}.[5] For tossing two coins, the corresponding sample space would be {(head,head), (head,tail), (tail,head), (tail,tail)}, commonly written {HH, HT, TH, TT}.[6] If the sample space is unordered, it becomes {{head,head}, {head,tail}, {tail,tail}}.
For tossing a single six-sided die, the typical sample space is {1, 2, 3, 4, 5, 6} (in which the result of interest is the number of pips facing up).[7]
A subset of the sample space is an event, denoted by E. Referring to the experiment of tossing the coin, the possible events include E={H} and E={T}.[6]
A well-defined sample space is one of three basic elements in a probabilistic model (a probability space); the other two are a well-defined set of possible events (a sigma-algebra) and a probability assigned to each event (a probability measure function).
Another way to look at a sample space is visually. The sample space is typically represented by a rectangle, and the outcomes of the sample space denoted by points within the rectangle. The events are represented by ovals, and the points enclosed within the oval make up the event.[8]
Answer:
1/12 or 0.0833333333
Step-by-step explanation:
0.5 probability of getting heads
1/6 probability of getting a 5
1/6 * 1/2 = 1/12
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Answer:
B
Step-by-step explanation:
MRP of pen drive is reduced from rupees 872 rupees 580 find the present age reduction in price......my explain me step by step.....
Answer:
the money reducted = 1870 - 580
= 1290
now the percentage = 1290/1870 x 100
= 68.9%
Step-by-step explanation:
Answer:
Step-by-step explanation:
the money reducted = 1870 - 580
= 1290
now the percentage = 1290/1870 x 100
= 68.9%
help me, the question is down below
Answer:
C
Step-by-step explanation:
6.3/3 = 2.1
12.6/6 = 2.1
18.9/9 = 2.1
7X +15 X equals help me please
a grab bag contains 20 packages worth $0.70 each 15 packages $0.60 each and five packages worth 30 cents each what is the expected value if you have to pay fifty cents each to pick one package at random
Answer:
The expected value is $0.1125
Step-by-step explanation:
The number of packages worth $0.70 in the grab bag = 20
The number of packages worth $0.60 in the grab bag = 15
The number of packages worth 30 cents in the grab bag = 5
The amount paid to pick one package = 50 cents
The number of packages in the bag, n = 20 + 15 + 5 = 40
The total value of the packages in the grab bag, 'V', is given as follows;
V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 = $24.5
The average value of the packages in the bag, A = V/n
∴ A = $24.5/40 = 0.6125
The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows
Whereby a $0.70 package is picked up, we have;
E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10
Whereby a $0.60 package is selected, we have;
E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375
Whereby a $0.30 package is selected, we have;
E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)
Therefore, the expected value, E(X), is found as follows;
E(X) = E(X)₁ + E(X)₂ + E(X)₃
E(X) = 0.1 + 0.0375 - 0.025 = $0.1125
The expected value, E(X) = $0.1125
Help me please help me I really need help
Answer:
44%
0.44 is 44% of 1.
seventeen less than a number is
Answer:
what number is it less than? i need that number to solve it
once you give it to me i will solve it
Step-by-step explanation:
Mr. Frankel bought 8 tickets to a puppet show and spent $30. He bought a combination of child tickets for #3 each and adult tickets for $5 each. How many adult tickets did Mr. Frankel buy?
How many adult tickets did he buy
please explain steps
Answer:
3 adult tickets and 5 children tickets.
Step-by-step explanation:
Make a chart:
1 adult + 7 children = 1(5)+7(3) = 26
2 adults + 6 children = 2(5)+6(3) = 28
3 adults + 5 children = 3(5)+5(3) = 30
4 adults + 4 children = 4(5)+4(3) = 32
5 adults + 3 children = 5(5)+3(3) = 34
6 adults + 2 children = 6(5)+2(3) = 36
7 adults + 1 child = 7(5)+1(3) = 38
The answer in bold is the only one that leads to $30, therefore he bought 3 adult tickets and 5 children tickets.
PLZZ HURRY NO LINKS!!!! Joseph attends a school that has 800 students. He is in charge of school dances this year. He surveyed a random sample of 100 students and got the following feedback.
710
of the students would attend any of the dances held at the school
25
of the students would like to have pizza served at the dances
410
of the students would attend a square dance
64% of the students think that the dances should be held after football games
18% of the students are not allowed to attend dances at school
Which THREE statements are supported by Joseph's data?
A
Out of 800 students, Joseph could expect around 480 students to attend a square dance.
B
Joseph should plan for around 560 students at each dance based on the data.
C
Joseph found that no more than 320 students would want pizza at the school dance.
D
Out of the 800 students, 288 do not like to attend dances after the football games.
E
The dances will be attended by around 700 of the students that attend the schoo
Answer: I got answers A, B and E
Step-by-step explanation:
The correct three statements are supported by Joseph's data are as follows;
Joseph should plan for around 560 students at each dance based on the data.
The dances will be attended by around 700 of the students that attend the school.
Out of the 800 students, 288 do not like to attend dances after the football games.
What is the data set?A data set is a collection of numbers or values that relate to a particular subject.
Joseph attends a school that has 800 students. He is in charge of school dances this year.
He surveyed a random sample of 100 students and got the following feedback.
7/10 of the students would attend any of the dances held at the school.2/5 of the students would like to have pizza served at the dances.4/10 of the students would attend a square dance.64% of the students think that the dances should be held after football games.18% of the students are not allowed to attend dances at school.1. Here 7/10 of the students would attend any of the dances held at the school.
[tex]=\dfrac{ 7}{10}\times 800\\\\= 7 \times 80\\\\= 560[/tex]
Joseph should plan for around 560 students at each dance based on the data.
2. 18% of the students are not allowed to attend dances at school.
[tex]= (1-0.18)\times 800\\\\= 0.82 \times 800\\\\=656[/tex]
The dances will be attended by around 700 of the students that attend the school.
3. 64% of the students think that the dances should be held after football games.
[tex]=(1-0.64 )\times 800\\\\= 0.36 \times 800\\\\=288[/tex]
Out of the 800 students, 288 do not like to attend dances after the football games.
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Toronto FC have won 45% of their games and lost 42 of their games what percentage have they tied
Answer:
13
Step-by-step explanation:
45+42=87
100-87=13
What is the volume of this sphere?
Use A = 3.14 and round your answer to the nearest hundredth.
8 mm
cubic millimeters
Answer:
[tex]V=2143.57\ mm^3[/tex]
Step-by-step explanation:
Given that,
The radius of the sphere, r = 8 mm
We need to find the volume of the sphere. The formula for the volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Put all the values,
[tex]V=\dfrac{4}{3}\times 3.14\times 8^3\\\\=2143.57\ mm^3[/tex]
So, the volume of the sphere is equal to [tex]2143.57\ mm^3[/tex].
What is the value of x????
Answer:
[tex] \cos(30) = \frac{ \sqrt{3} }{2 } = \frac{4 \sqrt{3} }{x} \\ x = 8 \sqrt{3} \div \sqrt{3} = 8[/tex]
Answer:
x = 8
Step-by-step explanation:
√3 4√3
Note that cos 30 degrees (which is ---------) equals ---------
2 x
which simplifies to:
1 4
---- = -----
2 x
so that x = 8
What is the area of the trapezoid? The diagram is not drawn to scale.
A. 36 cm2
B. 9 cm2
C. 21 cm2
D. 16.5 cm2
Answer:
Area of trapezoid = 21 cm²
Step-by-step explanation:
Given:
Length of rectangular shape = 4 cm
Width of rectangular shape = 3 cm
Base of triangle = 3 cm
Number of triangle = 3 cm
Find:
Area of trapezoid
Computation:
Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]
Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]
Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]
Area of trapezoid = 12 + 9
Area of trapezoid = 21 cm²
Can someone give me the equation on this and or how to right it A number is 7 more than 5 times another number and their difference is 78 Find the numbers
Answer:
(x is number)
x=7>5
Step-by-step explanation:
hope this helps
What’s the answer? Down below is a image of the question
Answer:
34
Step-by-step explanation:
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The Indirect speech of - said. "I was watching TV when the telephone rang."
Answer:
was,rang or had been , had rung
Step-by-step explanation:
He <was><had been> watching TV when the telephone <rang><had rung>.
4 A roll of paper is shown below.
Tube
About how much cardboard is needed to make the inner tube for a roll of paper if the tube
has a diameter of 4.5 cm and is 24 cm long?
F 339 cm2
G 679 cm2
H 371 cm2
J
382 cm2
Answer:
339 cm²
Step-by-step explanation:
Using the relation for the surface area of a cylinder :
A = 2πrh
r = Radius = diameter / 2 = 4.5 / 2 = 2.25 cm
Height, h = 24 cm
A = 2 * 22/7 * 2.25 * 24
A = 339.29200 cm²
Surface Area =339 cm²
About 339cm³ of cardboard will be needed for the inner tube.
To make inner tube card board needed is 339 cm² of the material.
What is Surface area ?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Here, diameter = 4.5 cm
then, radius = 4.5/2 = 2.25 cm
height = 24 cm
Surface area = 2πrh
= 2 X 3.14 X 2.25 X 24
= 339.12 cm²
Thus, to make inner tube card board needed is 339 cm² of the material.
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Hi, I'm learning about graph theory. I just have a question: If a cycle is going in the same direction as another cycle, is it the same cycle? Example: Is ABCDA=BCDAB?
Answer:
no because it has a different starting and ending point
Step-by-step explanation:
hope it helps!
Un industrial obtiene un préstamo de $ 15.000, al 23% anual por el lapso de 5 años. Calcular el monto a la finalización de este tiempo
Answer:
$18,781.5
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Loan amount (P) = $15,000
Rate of interest (r) = 23%
Time (t) = 5 years
Let this loan is compounding annually, then the amount after 5 years can be calculated as follows,
Final amount = P [tex](1 + ( r/t))^{t}[/tex]
by putting the value in formula, we get
= $15,000 ( [tex](1 + ( 0.23/5))^{5}[/tex]
= $15,000 × 1.2521
= $18,781.5
Given f(x) = 5x ^ 2 and g(x) = x ^ 3 + 2x ^ 2 - 5x , what is f(x) * g(x)
Answer:
Step-by-step explanation:
f(x) * g(x) = (5x**2) * (x**3 + 2x**2 - 5x) using distribution of 5x**2 to all terms
= 5x**5 + 10x**4 - 25x**3
= 5x**3(x**2 + 2x - x)
In a class of 50 students, the number of students who offer accounting is twice as the number who offer economics.10 students offer neither of the subject and 5 students offer both subject. (i)illustrate the information on a Venn diagram. (ii) how many students offer accounting? (iii) how many students offer economics? (iv)how many students offer only 1 subject?
The Venn diagram shows that the number of students who offer accounting is 30.
How to explain the Venn diagram?It should be noted that a Venn diagram is an illustration which uses circles to show the relationship between the objects.
The number of students who offer accounting is:
= 25 + 5
= 30
The number of students who offer Economics is:
= 10 + 5
= 15
The number of students who offer only one subject will be:
= 25 + 10
= 35
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A 35 foot ladder is set against the side of a house so that it reaches up 28 feet. If Bentley grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.
Answer:24.5
Step-by-step explanation:
a^2+ (25)^2 =35^2
a^2 +625=1225
a^2=600
a=24.494897
a=24.5
If you roll two dice, what is the probability that the sum is 9?
Answer:
1/9
Step-by-step explanation:
The probability of getting 9 as the sum when 2 dice are thrown is 1/9.
Find m and n...
Help plz
Answer:
m and 100are co-interior angles
so;
m+100=180. (being sum of co-interior angles)
m=180-100
m=80
like wise;
n=100
1/10 of the M&M's in a bag are red and 1/5
are blue. What fraction of all the m&ms
are red and blue?
Answer:
3/10 of all the M & M's are red and blue.
Step-by-step explanation:
Given that 1/10 of the M & M's in a bag are red and 1/5 are blue, to determine what fraction of all the M & M's are red and blue, the following calculation must be performed:
1/10 = 0.10
1/5 = 2/10 = 0.20
1/10 + 2/10 = X
3/10 = X
Therefore, 3/10 of all the M & M's are red and blue.
Help^^^^^^^^^^^^^^^^^
Answer:
A,
23/6v+28
Step-by-step explanation:
Answer:
D. 23/6v+28
Step-by-step explanation:
) How is the Domain for the function f(x) = (x restricted?
HELP PLEASE! If 2 answers, I will vote one Brainliest!
Answer:
answer: x = 55
Step-by-step explanation:
Because a triangle will add up to 180 degrees 2 of are angles are given so I will subtract them from 180 for answer so 27 + 98 = 125
180 - 125 = 55 Hope this helps!
Answer:
x = 55°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180° for x
x = 180° - (98 + 27)° = 180° - 125° = 55°
Sabrina borrowed $350000 with a 0.5% interest rate from Bank of America to buy a new condo in orange beach how did it take Sabrina to pay if the loan if she ended up pay &26250 interest plz help me
Answer:
t = 2466.67 years (about 2466 years 8 months)
Step-by-step explanation:
Given: Total P+I (A) = $350000, Principal (P) = $26250, Rate (R) = 0.5%
To find: How long did it take Sabrina to pay if the loan if she ended up pay $26250 interest?
Formula: [tex]t = (1/r)(A/P - 1)[/tex]
Solution: To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate
First, converting R percent to r a decimal
r = R/100 = [tex]\frac{0.5 percent}{100}[/tex] = 0.005 per year,
then, solving our equation
t = (1/0.005)((350000/26250) - 1) = 2466.67
t = 2466.67 years
Therefore, it will take Sabrina 2466.67 years (about 2466 years 8 months) to pay off the loan.