The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $5 each and will sell 600 tickets. There is one $3,000 grand prize, two $500 second prizes, and thirteen $40 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
The expected value for your profit is 2.53.
The probability is the number that indicates the likelihood that an event will occur and is defined as the ratio of favorable outcomes to all outcomes.
Given,
You can solve for the necessary anticipated value below.
There will be 600 tickets available for purchase overall.
So,
$ 5 each and sell go tickets
one $3,000 grand prize = ( 1/600) × 3000
two $500 second prizes = (2/600) × 500
thirteen $40 third prizes = (13/600) × 40
Any discrete variable X's anticipated value is calculated as:
E(x) = ( 1/600) × 3000 + (2/600) × 500 + (13/600) × 40 + (600-1-2-13/600).0-5
E(x) = 2.53
The expected value for your profit is 2.53.
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1. a bank offers a cd that pays a simple interest rate of 7.5%. how much money in dollars must you put in this cd in dollars now in order to have $5,000 in 3 years?
The money in dollars that must be put in this cd in order to have $5,000 in 3 years is $4,081.63
The formula for simple interest and procedure we will use to solve this exercise is:
A = P {1 + [(R/100) * T]}
Where:
P = principalR = rate of interest in % per annumT = timeA = amountInformation about the problem:
P = ?R = 7.5%T = 3 yearsA = $5,000Applying the simple interest formula and isolating the principal (P), we get:
A = P {1 + [(R/100) * T]}
$5,000 = P {1+[(7.5/100) * 3]}
$5,000 = P [1+(0.075*3)]
$5,000 = P (1+0.225)
$5,000 = P (1.225)
P = $5,000/ 1.225
P = $4,081.63
What is simple interest?It is the operation in which we calculate the profit produced by a capital loaned at a given percentage.
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(-0.216) - (-87.1) please solve within 5 mins
Answer: I believe the answer is 86.884
Step-by-step explanation:
Find the difference between simple interest and annual compound interest on Rs 9,600 for 2 yers at the rate of 5 % per annum.
Answer:
Rs 984
Step-by-step explanation:
Principal (P) = Rs 9,600
Time (T) = 2 years
Rate (R) = 5%
Simple Interest (SI) = [tex]\frac{PTR}{100}[/tex]
SI = [tex]\frac{9600*2*5}{100}[/tex]
SI = [tex]\frac{9600}{10} = Rs 960[/tex]
Compound Interest (CI) = 9600 * [tex]\frac{41}{100} = 24*41 = Rs 984[/tex]
6. Subtract (-2)-3-6. Hint: Using the order of operations, first subtract the first two numbers, then subtract 6 from the result.
O-7
07
O 11
O-11
The value of the expression according to the order of operations is -11. Thus option D is correct.
According to the statement
We have to find that the value of the given expression.
So, For this purpose, we know that the
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression.
From the given information:
The expression are :
(-2)-3-6
Now solve it with the order then
(-2)-3-6 = (-2)-3-6
(-2)-3-6 = -2-3-6
Now add the first two terms
then
(-2)-3-6 = -5-6
Now, Add next two terms
Then
(-2)-3-6 = -11.
The value becomes -11.
So, The value of the expression according to the order of operations is -11. Thus option D is correct.
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PLEASE HELP
i don’t understand geometry that well and i need to get this in soon
Step-by-step explanation:
Take Reference of Z-angle forward and backward and X-Angle if none are in this category then write none.
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Question content area the calculation for annual depreciation using the units-of-output method is:________
Content area the calculation for annual depreciation using the units-of-output method is yearly output.
What are the output method's units?
The productive output, units of production, or units of activity methods are other names for the units of output approach. Depreciation is computed based on the output of the equipment over a given period of time, taking into account the equipment's anticipated lifetime output units.What is the annual depreciation formula?
The formula for calculating the annual depreciation rate is (100 x Number of Periods in Year)/Number of Periods in Expected Life. The formula annual depreciation rate/number of periods in the year is used to determine the amount of depreciation for each period.Learn more about yearly output.
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Write this fraction in simplest form
3/x-4 + 2/2x+5
Suki is trying to solve the equation 62.75 + x = 92.
Determine whether Suki could use each statement below to reason and solve the equation.
Choose Yes or No for each statement.
A) Suki can add 62.75 to both sides of the equation.
[ Select ]
B) Suki asks, "What number can be added to 62.75 to get 92?"
[ Select ]
C) Suki thinks, "x is the difference between 92 and 62.75."
[ Select ]
D) Suki can divide 92 by x to get a value equal to 62.75.
[ Select ]
E) Suki knows that 62.75 + 0.25 = 63 and 63 + 29 = 92, so x must be 29.25.
[ Select ]
Answer:
picle scoops ina lane
Step-by-step explanation:
Answer:
29.25
Step-by-step explanation:
If we know the distance of an object from earth, we can determine the size of the object by measuring its parallax. True or false?.
False, If we know the distance of an object from earth, we can determine the size of the object by measuring its parallax.
The size of an object can be calculated by measuring its parallax if we know how far it is from Earth. According to the heliocentric theory of the universe, Earth is the center of the universe, and everything else revolves around it. A planet's speed is unaffected by the location of the planet within its orbit.
What is parallax explain?
Particularly: the angular difference in direction of a celestial body as measured from two places in the earth's orbit. the apparent displacement or the difference in apparent direction of an object as observed from two separate points that are not on a straight line with the object.Learn more about parallax
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find measure of MK in the image below
Answer:
ok is the corr!ctewwwdeeecceeeeecrrr\g
Consider the points p such that the distance from p to a ( 1,5,3) is twice the distance from p to b (6, 2, 2) . show that the set of all such points is a sphere, and find its center and radius
The set of all such points is a sphere center c = ( 23/3 , 19/3 , 3 ) r = 2√83/9
what is the sphere?
sphere, The collection of points in three dimensions that are all the same distance from the center (the radius) or the outcome of rotating a circle around one of its diameters. A sphere's parts and characteristics are comparable to those of a circle.The standard form of the equation of a sphere with center (a ,b ,c) and radius r is
( x -a)² + ( y-b)² + ( z - c)² = r²
We let P = ( x, y,z ) be an arbitrary point which satisfies the given conditions. Then
[tex]\sqrt{(x - 1)^{2} + ( y - 5)^{2} + (z - 3)^{2} } = 2 \sqrt({x - 6)^{2} + ( y - 2 )^{2} +( z - 3)^{2} }[/tex]
Squaring both sides of this equation and simplifying yields
( x - 1)² + ( y - 5)² + ( z -3)² = 4 [ (x - 6)² + ( y- 6 )² + ( z - 3)²
( 3x² - 46x + 143 ) + ( 3y² - 38y + 119 ) + ( 3z² - 18z + 27 ) = 0
Next, we complete the square for each variable to obtain
( x - 23/3)² + ( y - 19/3)² + ( z - 3 )² = 332/9
Thus the set of all such points P forms a sphere, with
center c = ( 23/3 , 19/3 , 3 ) r = 2√83/9
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2x24 equals 2x. x6 whats the answer
What is the pattern of these numbers 8, 7, 5, 2?
Answer: The pattern is that you -1 then -2 then -3.
Step-by-step explanation:
If you got 9, 8, 6, 3. You would be subtracting 1 then 2 then 3 then 4 then on and on.
Solve for y.
23 +18y=-21 + 14y
Simplify your answer as much as possible.
y =
Answer:
y = -11
Step-by-step explanation:
23 + 18y = -21 + 14y
Combine like terms
18y - 14y = -21 -23
Do the math
4y = -44
Divide both sides by 4
y = -11
Abby ad brenda had total 190.4 kg rice. after abby gave brenda 64.5kg rice, brenda had 6 times as much as abby. how much rice did abby had at first
Abby has 36.4 kg rice at first.
Here,
Abby and Brenda had total 190.4 kg rice.
After Abby gave Brenda 64.5kg rice, Brenda had 6 times as much as Abby.
We have to find amount of rice at first.
What is Total amount?
A total is whole or complete amount, and to total is to add numbers or to destroy something.
Now,
Abby and Brenda had total 190.4 kg rice.
Let amount of rice Abby has = x kg
Let amount of rice Brenda has = y kg
x + y = 190.4 kg .....(i)
Abby gave Brenda 64.5kg rice, Brenda had 6 times as much as Abby.
64.5 + y = 6x
6x - y = 64.5 .....(ii)
From equation (i) and (ii) we get;
x = 36.4
Hence, Abby has 36.4 kg rice at first.
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greatest to least,
7.
1
33,34,3
3 17
20' 5
3.
The numbers arranged in decreasing order from greatest to least is given by 133 , 53 ,34 ,33 ,20 ,17 ,7 .
Decremental Order When numbers (or other items) are arranged from largest to smallest, this is known as decreasing order.
This is called the sorting of numbers. When various data are given then we can sort the number s accordingly.Numbers can be sorted in the increasing order or decreasing order.Increasing order is sorting from lowest to greatest.Given numbers are 7, 133 , 34, 33 ,17, 20 , 53.
From looking at the numbers to arrange them in decreasing order we can see that 133 is the greatest of the numbers , so it will come first.
Then comes 53 which is the second highest number , then comes 34 the third highest number and so on unless we get the least number which is 7.
Hence the given numbers are arranged greatest to least:
133, 53, 34, 33, 20, 17.
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Please help me!!! I need help asap on this question Whoever is correct will get brainly!
Answer:
I am not 100% sure more like 12% sure that it is c
Step-by-step explanation:
SOH CAH TOA
I don't understand this stuff I have a test coming up can someone pls help me with this i am stuck
I'll help with the question at the bottom of the page. The rest are unfortunately too blurry.
The x is the adjacent side to the reference angle. The 7 is the hypotenuse. The hypotenuse is always opposite the 90 degree angle.
Let's use the trig ratio cosine.
cos(angle) = adjacent/hypotenuse
cos(39) = x/7
7*cos(39) = x
x = 7*cos(39)
x = 5.44002 which is approximate
x = 5.4
Make sure your calculator is in degree mode.
Genes a and b are 10 mu apart. a man has an ab/ab genotype. his father was ab/ab. he marries a woman who is ab/ab. what is the likelihood they will have an ab/ab child?
The probability that they will have an ab/ab child is 5%
Probability is how likely an event is to happen. It is measured by the ratio of the number of good cases to the total number of cases that could happen.
ab/ab (female) x ab/ab (male)
Possible alleles: [Find the alleles of the parents first, because the rest can be mixed]
AB (parental)
ab (parental)
Ab (recombinant)
aB (recombinant)
The m.u. tells us that recombinant alleles happen 10% of the time. If a child is (Ab/ab), then (ab) would come from the father, and (Ab) would come from the mother.
Given the mother has allele ab/ab looking at probabilities there is 50%chance that the child will inherit the allele and a 10% chance for the recombination to happen.
P(ab/ab)= (50%) (10%) = 5%
hence the answer is 5%
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Two similar bottles are shown.
The smaller bottle can hold 500 ml of water. How much water can the larger bottle hold? + 2³ 15 cm 主要 66% E 21 cm
The larger bottle holds a 700ml volume of water.
What is volume?
Volume is a measure of enthralled three-dimensional space. It's frequently quantified numerically using SI-deduced units or by colorful Homeric units. The description of length is interrelated with volume. Volume is the volume of three-dimensional space enthralled by a liquid, solid, or gas. Common units used to express volume include liters, boxy measures, gallons, milliliters, ladles, and ounces, however, numerous other units live. In mathematics,' Volume' is a fine volume that shows the quantum of three-dimensional space enthralled by an object or an unrestricted face.Two(2) bottles given in the pic are similar(no difference)
Therefore, the volume/cm height of both(2) bottles will proportional
By using the proportionality rule, [tex]\frac{15}{500} =\frac{21}{x}[/tex]
x = 700ml(seven hundred)
Hence, the correct answer is 700ml.
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Which expression shows the prime factorization of 36? O2×2×3 O 2×3×3 O 2×2×2×3×3 O 2×2× 3x3
Answer:
Prime Factorization is 2x2x3x3 also can be written as [tex]2^2x3^2[/tex]
Step-by-step explanation:
Take Lcm Of 36 (Lowest Divisible)
2 | 36
2 | 18 -> Prime Factorization is 2x2x3x3 also can be written as [tex]2^2x3^2[/tex]
3 | 3
3 | 3
| 1
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use mathematical symbols to write 3 different expressions to represent three groups of five
The different expressions to represent three groups of five are 3 * 5, 5 + 5 + 5 and 3 + 3 + 3 + 3 + 3
How to write different expressions to represent three groups of five?The mathematical statement is given as:
three groups of five
The statement three groups of five means
Three multiplied by 5
i.e. 3 * 5
This can also be written as
5 + 5 + 5
Also, it can be expressed as
3 + 3 + 3 + 3 + 3
Hence, the different expressions to represent three groups of five are 3 * 5, 5 + 5 + 5 and 3 + 3 + 3 + 3 + 3
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Cynthia Besch wants to buy a rug for a room that is 23 ft wide
and 33 ft long. She wants to leave a uniform strip of floor around
the rug. She can afford to buy 651 square feet of carpeting.
What dimensions should the rug have?
Answer:
21 feet wide and 31 feet long
Step-by-step explanation:
Help with my math !!
Answer: 3rd down :D
Step-by-step explanation:
This is because the problem is asking for Q to be in the middle of B and N and the only answer that applys to this is 3 :D.
Write the equation that represents the line use exact numbers
Answer:
y= 6/5 x -5
Step-by-step explanation:
You have 2 points. (0,-5) and (5,1)
If you use the formula Y2-Y1 / X2-X1,
you will have 1 - (-5) on the numerator, which equals 6
you will have 5 - 0 in the denominator, which equals 5
6/5 is your slope, and the point on the y-intercept is what you put at the end of the equation.
The distance between points A and B is 120 km. A cyclist went from A to B. After 1 hour, the second cyclist went from B to A, whose speed is 2 km/h higher. They met each other in the middle of the road. Find the speed of the cyclist leaving A.
Answer: 120km/hr
He went from A to B in 1 hour
56+85+95+42= i need help from Zoe witthans
Answer:
278
Step-by-step explanation:
First, add 85+95=180.
Then, add 56+42=98
Add 180+98=278
−4⋅(45)(−1)
What is the product?
answer: 180
first I multiplied -4 with 45, which gave me -180, then I made 180 positive by multiplying it with -1
There are 3 less than twice as many cats than dogs in the local animal shelter. If there are 210 cats and dogs
combined, how many dogs are in the animal shelter?
71 dogs
70 dogs
76 dogs
80 dogs
Answer: 71 dogs ==> 1st option
Step-by-step explanation:
c=cats. d=dogs.
2d-3=c
d+c=210
d+2d-3=210
3d-3=210
3d=213
d=71 dogs ==> 1st option