A spinner has 4 equally sized sectors that are numbered 3, 3, 4 and 6. The spinner is spun twice and the sum of the outcomes is found.
A fair decision is to be made about which one of 4 vacation destinations will be planned, using the sum of the outcomes.
The vacation destination options are New Mexico, Alaska, Puerto Rico and London.
Which description accurately explains how a fair decision can be made in this situation?
If the sum is 6, the vacation destination will be London. If the sum is 8, the vacation destination will be Alaska. If the sum is 9, the vacation destination will be New Mexico. If the sum is 7, 10 or 12, the vacation destination will be Puerto Rico.
If the sum is 6, the vacation destination will be London. If the sum is 7, the vacation destination will be Alaska. If the sum is 10, the vacation destination will be New Mexico. If the sum is 8, 9 or 12, the vacation destination will be Puerto Rico.
If the sum is 6, the vacation destination will be London. If the sum is 7, the vacation destination will be Alaska. If the sum is 9, the vacation destination will be New Mexico. If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.
If the sum is 10, the vacation destination will be London. If the sum is 7, the vacation destination will be Alaska. If the sum is 9, the vacation destination will be New Mexico. If the sum is 6, 8 or 12, the vacation destination will be Puerto Rico.
Answer:
If the sum is 6, the vacation destination will be London.
If the sum is 7, the vacation destination will be Alaska.
If the sum is 9, the vacation destination will be New Mexico.
If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.
Step-by-step explanation:
Create a sample space for the 2 spins (see attached).
From the sample space, the probabilities are:
P(sum is 6) = 4/16P(sum is 7) = 4/16P(sum is 8) = 1/16P(sum is 9) = 4/16P(sum is 10) = 2/16P(sum is 12) = 1/16Therefore, to make a fair decision:
As the sum of 6, 7 and 9 each have equal probabilities (4/16), they should each be attritbuted to one destination.
As the sum of 8, 10 and 12 combined equal the same probability as the sum of 6, 7, and 9 individually, the sum of 8, 10 and 12 should be assigned to one destination combined.
Solution
If the sum is 6, the vacation destination will be London.
If the sum is 7, the vacation destination will be Alaska.
If the sum is 9, the vacation destination will be New Mexico.
If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.
Need help please answer ASAP!
(20-21)
#20
1/2x+3<2x-61/2x-2x<-6-3-3/2x<-93/2x>9x>9(2/3)x>6#21
Find LCD of 2,7x,x
x is most commonSo
LCD is 2(7x)(x)=14x²Answer:
20. (4) x > 6
21. (3) 14x
Step-by-step explanation:
Question 20
[tex]\begin{aligned}\dfrac{1}{2}x+3 & < 2x-6\\\dfrac{1}{2}x+3-3 & < 2x-6-3\\\dfrac{1}{2}x & < 2x-9\\\dfrac{1}{2}x-2x & < 2x-9-2x\\-\dfrac{3}{2}x & < -9\\-\dfrac{3}{2}x \cdot 2 & < -9 \cdot 2\\-3x & < -18\\-\dfrac{3x}{3} & < -\dfrac{18}{3}\\-x & < -6\\\dfrac{-x}{-1} & < \dfrac{-6}{-1}\\x & > 6\end{aligned}[/tex]
Question 21
Rewrite all three fractions so that their denominators are the same:
[tex]\dfrac{1}{2}=\dfrac{1 \times 7x}{2 \times 7x}=\dfrac{7x}{14x}[/tex]
[tex]\dfrac{2}{7x}=\dfrac{2 \times 2}{7x \times 2}=\dfrac{4}{14x}[/tex]
[tex]\dfrac{5}{x}=\dfrac{5 \times 14}{x \times 14}=\dfrac{70}{14x}[/tex]
Therefore, the least common denominator is [tex]14x[/tex]
Which statements about the design are true? select three options. each sprinkler head is placed more than 3 feet from the walkway. if two additional sprinkler heads are placed on the lawn, every square foot of the yard would be watered. the total area watered by each sprinkler is approximately 63.6 square feet. the total area watered by all the sprinklers is approximately 254 square feet. if the sprinklers were placed in two straight lines on the yard, they would water a greater amount of the lawn.
The statements about the design that are true are:
each sprinkler head is placed more than 3 feet from the walkwaythe total area watered by each sprinkler is approximately 63.6 square feet. the total area watered by all the sprinklers is approximately 254 square feet.How to explain the design?As we can see the distance from the sprinklers head to the walkway is more than one grid and length of one grid is 3 feet, so each sprinkler is placed more than 3 feet from the walkaway.
The radius of the area watered by each sprinkler = 1.5 grid = 1.5×3 = 4.5 feet. So area watered by each sprinkler = π×r² = (3.14)(4.5)² = 63.58 ≈ 63.6 feet². Area watered by one sprinkler = 63.6 feet², therefore total area covered by four sprinklers = 4×63.6 = 254 feet²
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Answer:
A&C&D
Step-by-step explanation:
Trust
Solve y=x+5 and 2x-3y=4
Answer:
x= -19
y= -14
Step-by-step explanation:
Substitution.
It tells you what y is already. You substitute that into the second equation and then solve. Then you use that answer and substitute it back into the first equation's x, and then you'll get your full answer.
Hope this helps <3
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
To solve such problem there are two method by elimination method or substitution methodI have solved with substitution method juz' refer to attachment for understanding the ans ![tex]{ \boxed{ \: ✟\underline{ \boxed{ \sf{ \: x = - 19 ✓}}}✟ \:}} \\ { \boxed{ \: ✟\underline{ \boxed{ \sf{ \: y = - 14✓ }}}✟ \:}} \\\\ [/tex]
Hope it helps !
y = -6x+2
-12x-2y = -4
How many solutions does this linear system have?
O one solution: (0, 0)
O one solution: (1,-4)
Ono solution
O infinite number of solutions
Answer:
infinite number of solutions
Step-by-step explanation:
Given equations:
y = -6x+2-12x - 2y = -4Rearrange the second equation to make y the subject:
⇒ -12x - 2y = -4
⇒ -12x - 2y + 2y = -4 + 2y
⇒ -12x = -4 + 2y
⇒ -12x + 4 = -4 + 2y + 4
⇒ -12x + 4 = 2y
⇒ (-12x + 4) ÷ 2 = 2y ÷ 2
⇒ y = -6x + 2
Comparing the rearranged equation with the first equation, we can see that both equations are the same.
Therefore, as there is only one line, there are an infinite number of solutions.
A building that is used for storage has the dimensions shown. What is the volume of the building?
The total volume of this building based on the volume of its two sections is 3808 cubic feet.
How to calculate the volume of the building?In this case, it is necessary to calculate the volume of the base that has a rectangular prism shape and the volume of the top part that has a right triangular prism shape.
What is the volume of the base?length x widht x height28 x 8 x 14 = 3136 cubic feetWhat is the volume of the top part?0.5 x base x height x length0.5 x 14 x 8 x 12 = 672 cubic feetWhat is the total volume?3136 + 672 = 3808 cubic feetNote: This question is incomplete because the image is missing; here is the missing section.
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A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, n (in millions), being produced in t years? n = StartFraction 2. 5 (1. 5) Over t EndFraction, t not-equals 0 n = 1. 5 t squared 1. 25 n = 1. 5 t 1. 25 n = 1. 25 times 2. 5 Superscript t.
Answer:
see the attachment!
i hope this can help you!
Find the perimeter of the parallelogram whose vertices are A (-1,1), B (-9,6), C(-12,11) and D(-4,6) Give your answer correct to one decimal place
Answer: 30.5
Step-by-step explanation:
Write 6.51 x 10^-8 in Standard Form
Please help :) also this is the same thing question as last time but I forgot to put the little arrow
Answer:
[tex]651*10^{-8[/tex]
Step-by-step explanation:
Sure hope this helps you
2. A fish tank is shaped like a rectangular prism. 1 2 square feet. The area of the base of the fish tank is 6 The height of the fish tank is 3 feet. 2 What is the volume, in cubic feet, of the fish tank?
Answer:
A. Makes the most sense. If you are using multiplication you'd get 18 1/16
Step-by-step explanation:
Jasmine deposited $700 in an account earning 9% interest compounded annually,
To the nearest cent, how much will she have in 1 year?
At the end of one year Jasmine will have the sum of $763
Calculation of interest rateThe principal amount (P)= $700
The interest rate(R) = 9%
The period of investment (T) = 1 year
Therefore simple interest
= P×T×R/100
= 700×1×9/100
= 6300/100
= $63
Therefore, the total amount she will receive at the end of a year = 700 + 63
= $763
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Please help me please help me
what is the area, in square centimeters, of the isosceles trapezoid below?
Answer:
65.28
Step-by-step explanation:
1/2 × (15.2+5.2) × 6.4 = 65.28
hope this helps ;)
Find the slope of every line that is perpendicular to this one
Answer:6-
Step-by-step explanation:
!!!!!!ANSWER!!!!!!
An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of
alues for the third side, s?
2< s < 18
!!!!!!! 6
Os<2 ors > 18
s< 6 or s> 12.8
Answer:
1st option
Step-by-step explanation:
given 2 sides of a triangle then the third side s is in the range
difference of 2 sides < s < sum of 2 sides , that is
10 - 8 < s < 10 + 8
2 < s < 18
Candle a and candle b were lit at the same time. candle a could last 3 hours and candle b could last 5 hours. after 1 hour, both candles were equal in length. what was the ratio of the length of candle a to the length of candle b at first.
The ratio of the length of candle A to the length of candle B at first will be 3 / 5.
What are ratios and proportions?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
Candle A and candle B were lit at the same time. candle a could last 3 hours and candle b could last 5 hours. after 1 hour, both candles were equal in length.
Then the ratio of the length of the candle A to the length of candle B at first will be
Let the length of candle A is x and the length of candle B be y.
The common speed will be S.
Then we have
Time = length / speed
For candle A, we have
Candle A = x / S = 3 ...1
For candle B, we have
Candle B = y / S = 5 ...2
From equations 1 and 2, we have
x / 3 = y / 5
x / y = 3 / 5
More about the ratio and the proportion link is given below.
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The proportion of all US adults who eat popcorn when they go to the movie theater is p = 0.87. A random sample of 20 US adults was selected and asked if they eat popcorn when they go to the movie theater. Which of the following is the shape of the sampling distribution of p hat ?
The sampling distribution of p hat is approximately Normal because n p = 17.4 greater-than 10.
Because n (1 minus p) = 20 (1 minus 0.87) = 2.6 less-than 10, the sampling distribution of p hat is not approximately Normal. The sampling distribution of p hat is skewed right and centered at 0.87.
Because n (1 minus p) = 20 (1 minus 0.87) = 2.6 less-than 10 , the sampling distribution of p hat is not approximately Normal. Because p = 0.87 is closer to 1 than 0, the sampling distribution of p hat is skewed to the left.
Because n (1 minus p) = 20 (1 minus 0.87) = 2.6 less-than 10, the sampling distribution of p hat is not approximately Normal. Because p = 0.87 is closer to 1 than 0, the sampling distribution of p hat is skewed to the right.
The option third is correct because nx(1-p)=2.6 less than equal to 10 then the sampling distribution [tex]\rm \hat{p}[/tex] is not approximate normal because p=0.87 is closer to 1 than zero.
Sampling distribution [tex]\rm \hat{p}[/tex] is skewed to the left.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
Because the requirement for normal is greater than 10, n×p is greater than 10 and nx(1-p) is also greater than 10.
This situation is abnormal because it is not valid. If p is close to 1 in a normal graph, then p is left skewed.
Thus, the option third is correct because nx(1-p)=2.6 less than equal to 10 then the sampling distribution [tex]\rm \hat{p}[/tex] is not approximate normal because p=0.87 is closer to 1 than zero. Sampling distribution [tex]\rm \hat{p}[/tex] is skewed to the left.
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Rewrite the equation by completing the square x^2-14x+49=0
Answer:
Here is the ans ...hope it helps:)
I will mark branilest If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?
A. 20
B. 22
C. 24
D. 26
Answer:
[tex]22[/tex]
Step-by-step explanation:
Because:
[tex]a \times b = 2a - 3b + ab[/tex]
Then:
[tex]3 \times 5 + 5 \times 3[/tex]
[tex]6 - 15 + 15 + 10 - 9 + 15 \\ = 22[/tex]
Answer:
B. 22
Step-by-step explanation:
Given
a x b = 2a - 3b + ab3 x 5
2(3) - 3(5) + 3(5)65 x 3
2(5) - 3(3) + 3(5)1 + 1516⇒ 3 x 5 + 5 x 3
⇒ 6 + 16
⇒ 22 (Option B)
which graph best describes the solution of 3m > 21
Answer:
See below
Step-by-step explanation:
I don't see any graphs, but if you solve the inequality by dividing 3 on both sides, you get [tex]m > 7[/tex]. This means that all [tex]m[/tex] greater than 7, except 7 itself, are included in the solution set.
Ideally, I assume the answer would be a number line with an open circle at m=7 to show it is not included, and then a shaded arrow pointing to the right to show all possible solutions greater than 7.
Troy wants to join Universal Gym. The gym charges a one-time membership fee of $50 and $24.50 per month. Write a function that represents this situation.
a. f(m) = 50m + 24.50
b. f(m) = 50 + 24.50m
c. f(m) = 50m + 24.50m
d. (m) = 50 + 24.50
Answer: B
Step-by-step explanation:
B is the correct one because the $50 is one time payment and the $24.50 gets charged every month
I think my answer is correct? Not so sure though haha
What is the value of x in this figure?
Enter your answer in the box.
x =
The figure contains a pair intersecting lines. One angle is labeled 114 degrees. The angle that is opposite and not adjacent to this angle is labeled x degrees.
Answer:
114°
Step-by-step explanation:
Non-adjacent angles where two lines cross are called "vertical angles." They are congruent.
x = 114°
A company produces 3000 memory cards each day. Every
day 25 are randomly selected for testing. One day, 1 of those
tested failed. About how many of the memory cards
produced that day are likely to fail?
Answer:
120 failures
Step-by-step explanation:
1 out of 25 or 1/25 th of 3000
1/25 * 3000 = 120
how to find a length with perimeter 400cm and breadth 50cm.
Step-by-step explanation:
Asuming object is a rectangle. We know that to find the perimeter of a rectangle we must add all the sides.
Therefore the formula wound be "b + b + l + l". To simplify this equation we can goup the similar sides as "2b + 2l".
Since we know the perimeter of the rectangle lets equate this simplified formula to 400:
2b + 2l = 400
Now because we know the breath lets replace it with the b position in tge formula.
2(50) + 2l = 400
Now lets use simple algebra to solve.
100 + 2l = 400
2l = 400 - 100
2l = 300
l = 150
Therefore, the lenght is 150cm
b) What is the measure of ZE? Explain how you know. (1 point)
i cant give you a answer because there is no other problems
PLEASE PLEASE HELP ME WITH RHIS QUESTION
Answer:
D) He has a 67% chance of getting a 1, 3, 5, or 6.
A plane flies from Dubbo on a bearing of 139° for 852 km, then turns and flies on a bearing of 285° until it is due west of Dubbo. How far from Dubbo is the plane, to the nearest km?
Answer:
Step-by-step explanation:
So first you add them together which gives you infinity and then you divide infinity by (139+285) then keep doing it until you realise this is a scam
find the value of 6.4⋅(8+15)
Answer:
The Answer is 147.2
Step-by-step explanation:
Hope this helps Have a great day and Sry if i'm wrong :)
You buy milk that contains 180 calories per 2 cups. use a ratio table to find the number of calories in 16 cups.
If the total profit per month is 200000 and the revenue per month can be obtained as twice the cost per month minus 50000. what is the revenue and cost?
Answer:
300,000
Step-by-step explanation:
[tex]2000000 - 50000 = 150000[/tex]
[tex]150000 \times 2 = 300000[/tex]