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.
Answers
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.
Related Questions
Directions: Perform the indicated operation. Write your solution in a separate sheet of paper and change your answer to lowest term if necessary.
Addition
1.)
2.)
3.)
4.)
5.)
Subtraction
1.)
2.)
3.)
4.)
5.)
paki ayos po ng sagot
SALAMAT
Answers
For addition 1.) 28 / 5 2.) 27 / 4 3.) 45 / 8 4.) 4 / 3 5.) 23 / 18
For Subtraction 1.) 27 / 5 2.) 20 / 3 3.) 23 / 6 4.) 6 / 5 5.) 16 / 3
What is addition?The method of summing up the given data is called addition. A method of removing certain data from the given data is called subtraction.
Addition
1.) 28 / 5
2.) 27 / 4
3.) 45 / 8
4.) 4 / 3
5.) 23 / 18
Subtraction
1.) 27 / 5
2.) 20 / 3
3.) 23 / 6
4.) 6 / 5
5.) 16 / 3
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Simplify each expression, and classify the result as rational or irrational.
Answers
The number 2√5×3√6 is irrational, number √42/√168 is rational as we know π is an irrational number but 22/7 is rational.
What is an irrational number?It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
= 2√5×3√6
= 6√30
= √1080 = 32.863353450309965
The number is irrational.
= √42/√168
= 1/2
The number is rational.
= 5(4√5 - 3√5)
= 5√5
= √125 = 11.180339887498949
The above number is irrational.
= √64/32
= 1/4
The above number is rational.
= (5√3—√3)/2√3
= 2
The above number is rational.
Similarly, we can find whether a number is irrational or rational
Thus, the number 2√5×3√6 is irrational, number √42/√168 is rational as we know π is an irrational number but 22/7 is rational.
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Josh must submit for paintings as part of his application to art school if he has 25 to choose from how many ways can he took 4?
Answers
A cupboard is 1.2 m wide.
Will a stick 1m 5cm long fit across the cupboard?
Give reasons for your answer.
Answers
Answer:
cupboard is 1.2 m wide.
Will a stick 1m 5cm long fit across the cupboard?
Give reasons for your answer
Solve for x. Round to the nearest tenth, if necessary.
Answers
Tia's tent is in the form of a triangular prism as shown below.
If Tia plans to waterproof the tent, excluding the base, what
is the area in which she will waterproof?
(round to the nearest hundredth)
Answers
Answer: 279.43
Step-by-step explanation:
The area of the tent that she will need to waterproof is 279.43 feet².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given a tent in the form of a triangular prism as given.
We have to find the surface area of the tent excluding the base.
There are 2 triangular faces and 2 rectangular faces.
Area of the prism that needs to waterproof = area of 2 rectangles + area of 2 triangles
Area of rectangles = 2 × 14 × 8 = 2 × 112 feet² = 224 feet²
Height of the triangular face = √(8² - 4²) = √48
Area of 2 triangles = 2 × 1/2 × 8 × (√48) = 8√48 feet²
Area needed to be waterproofed = 224 feet² + 8√48 feet² = 279.43 feet²
Hence the area of the tent is 279.43 feet².
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an investment made in the stock market decreased at a rate of 1.2% per year for 25 years. what is the current value of the 100,000 dollar investment?
Answers
Answer:
73947.52
Step-by-step explanation:
the equation would be 100000 * (0.988)^25
since time is 25 years, and rate is 0.988, since we are decreasing by 0.012.
Select from the drop-down menu to explain how to find the quotient of 4.082 and 10,000.
To find the quotient of 4.082 and 10,000, move the decimal point in 4.082
Choose...
places to the
Choose...
.
Answers
Answer:
Move decimal points in 726.02, 3 points in the left direction
Step-by-step explanation:
Given
Quotient of 726.02 and 1000
This is represented as:
The denominator 1000 has 3 zeros.
This implies that the decimal points will be moved in the left direction by 3 points.
So:
longest bridge in the world
Answers
Answer:
the Danyang–Kunshan Grand Bridge
The world's longest bridge is the Danyang–Kunshan Grand Bridge in China, part of the Beijing-Shanghai High-Speed Railway, according to Encyclopaedia Britannica (opens in new tab). The bridge, which opened in June 2011, spans 102.4 miles (165 kilometers)
Answer:
Danyang–Kunshan Grand Bridge
Step-by-step explanation:
What is the value of y?
Answers
Answer:
I think that answer is 65....Broo 65 or what broo...
Is this true or false?
Answers
Answer:
true
Step-by-step explanation:
A marketing executive earns an annual salary of $78,300, and she contributes $6,500 per year to her 401(k) plan. If she has a required deduction for income taxes (federal, state, and local combined) of 27% of pretax income, how much is withheld in income taxes per year?
Answers
Answer:
With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:78,300 - 6,500 = 71,800 (this is your new taxable value)71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.Your answer is A.
Answer:
Step-by-step explanation:
With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:
78,300 - 6,500 = 71,800 (this is your new taxable value)
71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.
In the diagram below, CFED is a rectangle. If m/CFD = 12x and m/DFE = 6x, find the value of x.
Answers
Answer:
5
Step-by-step explanation:
if CFD is 12x and DFE is 6x that means CFE is 18x. 18x has to be equal to 90 degrees because CFED is a rectangle and each corner of a rectangle is 90 degrees.
so:
18x=90
x=5
wha is 10% of 695,000
Answers
Answer:
[tex]69500[/tex]
Step-by-step explanation:
[tex] \frac{695000}{1} \times \frac{10}{100} \\ \\ = 69500[/tex]
A helicopter is flying over a straight highway between
two exits, A and B. The angle of depression from the
helicopter to exits A and B are 28° and 45°,
respectively. If the exits are 4 miles apart, find the
height of the helicopter
Answers
Answer:
about 1.3885 miles ≈ 7331 ft
Step-by-step explanation:
The height of the helicopter can be found using the tangent relation, which we know relates the sides and angles of a right triangle by ...
Tan = Opposite/Adjacent
__
setupWith reference to the attached diagram, the above relation can be used to find the lengths of AC and BC, which we know total 4 miles.
tan(28°) = h/AC ⇒ AC = h/tan(28°) = h·tan(90° -28°) = h·tan(62°)
tan(45°) = h/BC ⇒ BC = h/tan(45°) = h·tan(90° -45°) = h·tan(45°)
The total distance between A and B is then ...
AB = AC +BC
4 = h·tan(62°) +h·tan(45°) = h(tan(62°) +tan(45°))
solutionDividing by the coefficient of h, we have the value of h:
h = 4/(tan(62°) +tan(45°)) = 4/(1.88073 +1) ≈ 1.38854 . . . . miles
In feet, that is ...
(1.38854 mi)(5280 ft/mi) = 7331 ft
The height of the helicopter is 1.38854 miles, or 7331 feet.
Andrea picked 21 pounds of peaches in her orchard. She divided the peaches evenly between 4 large baskets.
How many ounces of peaches did Andrea put in each basket?
Answers
1. 1 pound = 16 ounces
2. 21 pounds * 16 ounces = 336 ounces
3. 336 ounces ÷ 4 baskets = 84 ounces per basket
OR
1. 1 pound = 16 ounces
2. 21 pounds ÷ 4 baskets = 5.25 pounds per basket
3. 5.25 pounds * 16 oz = 84 ounces per basket
Hope this helps!!
ABC Game store sells new games, n, for $19 and used games, u, for $9. The store earned $7500 in revenue last month. The store sold 4 times as many used games as new games. Write a system of equations that represents this scenario.
Answers
Answer:
19n+9u=7500 and 4u-n
Step-by-step explanation:
Find the arc length of the subtending arc for an angle of 35 degrees on a circle of radius 10.
Answers
Step-by-step explanation:
arc length = radius × central angle in radian
= 10 × (35 × π/180)^c
= 10 × ( 7π/36)
= 70π/36
= 70/36 × 22/7
= 55/9
= 6.111cm
please!!!!! mark me as brainliest
and
i hope my ans is helpful
Answer:
formula for length of an arc = 0 / 360 × 2ūr
Given , 0 = 35 , ū = 22/7 ,r =10
therefore; 35/360 × 2 x 22/7 ×10
= 6.111 or 55 /9
please Mark as brainlest
Which is a set of collinear points?
A) G, H, I
B) L, H, I
C) G, H, J
D) G, I, J
Answers
The cosine of an angle a is 0.8. what is the value of sin (a)
Answers
Sine is opposite side over hypotenuse
You need 2 values to solve this.
6% of a length is 390m what is the original length
Answers
Explanation:
Picture
The original Length is, 6500 m.
What is the Length?Length is the term used for identifying the size of an object or distance from one point to the other.
Given that 6% of a length is 390 m
Let original length be a
Therefore, 6% of a = 390
a*6/100 = 390
a = 390*100/6
a = 6500
Hence, The original Length is, 6500 m.
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What is the total amount that Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually? TA= P (1+i)^t
Answers
Answer:
10,099.80
Step-by-step explanation:
Given: The principal amount (P)= $8,000
The rate of interest (i)= 6 % = 0.06
Time = 4 years
The formula to calculate the compound amount in x years is given by :-
Then the compound amount received by Matthew after 4 years will be:_
Hence, the total amount that Matthew's bank will receive afeter 4 years =$10,099.80
Answer:
$10,099.82
Step-by-step explanation:
Given formula: [tex]\sf TA = P (1+i)^t[/tex]
where:
TA = total amountP = principal amounti = interest rate (in decimal form)t = time (in years)Given:
P = $8,000i = 6% = 0.06t = 4 yearsSubstituting the given values into the formula:
[tex]\implies \sf TA=8000(1+0.06)^4[/tex]
[tex]\implies \sf TA=10099.81568[/tex]
Therefore, the total amount the Matthew's bank will receive is $10,099.82
Solve the system of equations below: 4x + 6y = 32 and 3x - 6y = 3
Pls show work will give brainliest :)
Answers
Answer:
x=5 y=2
Step-by-step explanation:
3x-6y=3
3x=3+6y
x=1+2y
Substitute x for 4x+6y=32
4+8y+6y=32
4+14y=32
14y=28
y=2
3x-12=3
3x=15
x=5
In a sample of 45 7th graders, 24 chose baseball as their favorites sport. If there are 528 7th graders in the school, predict the number of students who prefers baseball
Answers
24 is 53% of 45
53% of 528 is 280
1 point
11
y
Find x and y.
DO
30°
x=11√2 y = 22
x = 22 y=11√/3
x = √√√3 y = 11
Answers
Answer:
x = 22, y = 11√3
Step-by-step explanation:
Here,
x is the Hypotenuse side
y is the adjacent side.
11 is the opposite side.
Formula : -
sin θ = Opposite side / Hypotenuse side
Here,
θ = 30
Note : -
The value of sin 30 = 1 / 2
1 / 2 = 11 / x
Cross multiply,
x * 1 = 2 * 11
x = 22
By Pythagoras theorem,
11² + y² = x²
11² + y² = 22²
y² = 22² - 11²
22² = 11² x 2²
11² = 11² x 1²
y² = 11² ( 2² - 1 )
y² = 11² x ( 4 - 1 )
y² = 11² x 3
Square root on both sides,
y = 11√3
Solve for y y/8 = 4
Answers
Answer:
32
Step-by-step explanation:
Multiply both sides by 8.
y/8 = 4
y/8 × 8 = 4 × 8
y = 32
Dray collects marbles of different colour. 7/8 of his marbles are red. 2/9 of the remaining marbles are blue. How many marbles does he have in total, if the number of green marbles that he has is 14?
Answers
1/8 are not red.
7/9 of non-red are green
So 1/8 x 7/9 of total are green = 14
7/72 total = 14
total = 14 x 72/7 = 144 marbles
Is the eye color of a student in class classified as a qualities or quantitive variable
Answers
Answer:
Qualities variable, because eye color is something you observe from a study on someone. Eye color cannot be observed very well from a quantitive variable, because quantitive variables record height, weight, and other statistics other than eye color.
An office building has the same number and size of offices on each floor. If there are 21 offices on the first 3 floors, then what is the total number of offices in the 10 story building?
Answers
Answer:
70 offices
Step-by-step explanation:
21 ÷ 3 to get amount per floor, 7 per floor, 7 × 10 = 70, 70 offices
Can you help me with this
Answers
Answer:
Step-by-step explanation:
3x + 8 = 4x + 4
-x + 8 = 4
x = 4
answer is A