Answer:
30 adult tickets,50 kids ticketsStep-by-step explanation:
Given
Cost of adult ticket = $8.50Cost of kids ticket = $7.00Number of tickets = 80Total cost = $605Let the adult ticket be a and kids be k
We got equations
a + k = 808.5a + 7k = 605From the first equation we get
k = 80 -aSubstituting k in the second equation
8.5a + 7(80 - a) = 6058.5a - 7a + 560= 6051.5a = 45a = 45/1.5a = 30Then finding k
k = 80 - 30 = 50In a casino in Blackpool there are two slot machines (machine 1 and machine 2): one that pays out 10 % of the time, and one that pays out 20 % of the time. Obviously, you would like to play on the machine that pays out 20% of the time but you do not know which of the two machines is the more generous. You thus adopt the following strategy: you assume initially that the two machines are equally likely to be the generous machine. You then select one of the two machines at random (this turns out to be machine 1) and put a coin into it. Given that you loose that first bet estimate the probability that machine 1 is the more generous of the two machines
What do I know?
What do I want to find out?
What do I expect the answer to be?
How do I go from what I know to what I want to find?
Is the answer consistent with what I expected?
Answer:
Given that;
a)
2 machines, 1 and 2
Machine 1
pays 10% of times when the machine is generous
So the probability that the machine 1 pays given that its generous is
P (Pays/machine 1 is generous) = 10% = 0.10
Machine 2
pays 20% of times when its generous
i.e the probability that the machine pays given that its generous is;
P (Pays / machine 2 is generous) = 20% = 0.20
Also we assume there is equal chance of being generous
i.e
P(machine 1 is generous) = P(machine 2 is generous ) = 0.5
b)
this is to help obtain the probability that machine 1 is generous given that the player loose in the first bet,
i.e P(machine 1 is generous / lost)
c)
Since, the probability that the machine is generous is 0.5,
it can be said that there is 50% chance that machine 1 is generous when the player loses the first bet
d)
therefore The required probability is calculated as;
P(machine 1 is generous/lost) = p(machine 1 is generous ∩ lost) / p (lost)
= [p(lost/machine 1 is generous) × p(machine 1 is generous)] / [{(1-p(pays/machine 1 is generous)) × p(machine 1 is generous)} + {((1-p(pays/machine 2 is generous)) × p(machine 2 is generous)}]
= [(1 - p(pays/machine 1 is hereous)) × p(machine 1 is generous)] × [(( 1- 0.10) × 0.5) + ((1 - 0.20) × 0.5)]
= ( 1- 0.10) × 0.5) / 0.85
= 0.5294
so the probability that the player loses the first bet given that the machine is generous is 0.5294
e)
Since the gotten probability that the player loses the first bet given that machine 1 is generous is close to 0.50 then it can be said that the probability is consistent with the expectations.
The range of the following relation R(3,-2), (1, 2), (-1, -4),(-1, 2)} is {-1, 1, 3) {-1, -1, 1.3} (-4, -2, 2. 2) (-4, -2.2 without it saying brainly plus
Answer:
{-4, -2, 2}Step-by-step explanation:
Given relation
R {(3,-2), (1, 2), (-1, -4),(-1, 2)}Its range is the set of second values in the pairs
{-2, 2, -4}In the ascending order
{-4, -2, 2}Answer:
{-4, -2, 2}
Step-by-step explanation:
The relation is {(3, -2), (1, 2), (-1, -4),(-1, 2)}
The range is all possible y values apart from any duplicates.
y = -2, 2, -4, 2
Removing all duplicates we get.
y = -2, 2, -4
Put them in order.
y = -4, -2, 2
Best of Luck!
Short Response What is the cost of 15 tomatoes?
HOME GROWN VEGETABLES
Cucumbers 6 for $2
Peppers 12 for $9
Tomatoes 6 for $4
Answer:
60
Step-by-step explanation:
15x4= 60
can someone please help me :)
Answer:
C
Step-by-step explanation:
These pairs are both interior angles and are consecutive because they are divided by a transversal.
Graph (f(x)+-2((x+3)(x-1). Label the x intercepts, vertex and axxis of symmetry
Answer: x-intercepts: (-3,0), (1,0)
vertex: (-1,8)
axis of symmetry: x = -1
Step-by-step explanation:
A______ is a value, usually in the form of a letter or symbol, that can change or that represents an unknown quantity.
Answer:
Variable
Step-by-step explanation:
What is 6 1/3 - 4 1/9
Answer:
2 2/9
Step-by-step explanation:
6 1/3 - 4 1/9
1/3: 1x3 3x3= 3/9
1/9: 1x1 9x1= 1/9
3/9 - 1/9 = 2/9
6-4=2
Answer: 2 2/9
The sales tax on a used car is $102, and the sales tax rate is %5. Find the purchase price (the price before taxes are added).
Answer:
.04p = 102
p = 2550
The original price is $2550.
PLEASE, I NEED HELP!!!!
MATHS!!!
Answer:
a
Step-by-step explanation:
WILL GIVE BRAINLYIST!!!
Apples are ____% of the total number of fruits.
Answer:
34%
Step-by-step explanation:
Because out of all ripe fruits is 85% of 5692000.
Write a quadratic function f whose zeros are 8 and -3.
Answer:
f(x) = x² - 5x - 24
Step-by-step explanation:
Step 1: Define
Roots/zeros = 8, -3
Step 2: Rewrite
x = 8, -3
Step 3: Write quadratic function
Set zeros into factored binomials: (x + 3)(x - 8)Expand: x² - 8x + 3x - 24Combine like terms: x² - 5x - 24Answer:
f(x) = x^2 - 5x - 24.
Step-by-step explanation:
In factor form that would be:
f(x) = (x - 8)(x + 3)
f(x) = x(x + 3) - 8(x + 3)
= x^2 + 3x - 8x - 24
f(x) = x^2 - 5x - 24.
explain why a student who runs 3/4 mile in 6 minutes is faster than a student who runs 1/2 mile in 5 minutes.
Answer:
A student who runs 3/4 mile in 6 minutes is faster than a student who runs 1/2 mile in 5 minutes because when you simplify both fractions to per minute, the student who ran 3/4 mile in 6 minutes (1/8 mile per min) ran faster than the student who ran 1/2 mile in 5 minutes (1/10mile in 1 min).
Step-by-step explanation:
[tex]\frac{3/4mile}{6min}[/tex] divided by 6 to get per min =
1/8 mile per min
can you guys help me pls what is [34 + (9×2)]÷2= what is it pls help
Answer:
306
Step-by-step explanation:
Given the following dimensions, what is the volume of a block? Length: 7
cm, Width: 3 cm, Height: 4 cm *
63 cubic centimeters
84 cubic centimeters
21 cubic centimeters
12 cubic centimeters
Answer:
84 cubic centimeters
Step-by-step explanation:
L×W×H
if the circumference of a circle is 221cm find the area of the circle
Answer:
first find the radius of the circle r^2=221/22/7 then find the area
Answer:
3885.93 cm² or 3886.64 cm²
Step-by-step explanation:
Hello!
Circumference of a Circle: [tex]C = 2\pi r[/tex]
We first have to find the radius. To do so, we can plug in 221 for "C" and isolate "r".
Find the Radius[tex]C = 2\pi r[/tex][tex]221 = 2\pi r[/tex][tex]110.5 = \pi r[/tex][tex]35.1732424233 = r[/tex][tex]r \approx 35.17[/tex]Area of a Circle: [tex]A = \pi r^2[/tex]
Now that we have the radius, we can use it to find the area using the area formula.
Find the Area[tex]A = \pi r^2[/tex][tex]A = \pi (35.17)^2[/tex][tex]A = \pi(1,236.9289)[/tex][tex]A = 3,885.9267452529[/tex][tex]A \approx 3,885.93[/tex]The area is approximately 3885.93 cm².
If we used the full number (all decimals given by the calculator), you would have an answer around 3886.64.
A study was conducted on the effects of divorce. Researchers gathered data from a random sample of 5,125 adults and measured quite a few variables, in addition to the explanatory variable of divorce and the response variable of shorter life span. According to a newspaper article summarizing the study, those who divorced were more likely to be less physically active, at an unhealthy weight, and smokers. Those who were married were about 15% more likely to be deceased. What conclusion can we draw from this study? Explain. (5 points) We can infer a cause-and-effect relationship because the sample was selected randomly. We cannot infer a cause-and-effect relationship because we do not have a control group. We can infer a cause-and-effect relationship because multiple variables were included. We cannot infer a cause-and-effect relationship because the treatments imposed were not blocked correctly. We cannot infer a cause-and-effect relationship because treatments were not assigned randomly.
Answer:
We can infer a cause-and-effect relationship because multiple variables were included.
Step-by-step explanation:
The multiple attributes for the divorced ones are
1) less physically active
2) an unhealthy weight,
3) smokers.
The attribute showing the % of the married is
1) death
So when we compare the two groups married and divorced we see different variables are involved in evaluating the percentage.
This shows a cause and effect involving multiple variables.
In cause and effect one variable is dependent and the other is independent.
The cause is the independent variable and effect is the dependent variable.
CAUSE EFFECT
Married Death
Divorced 1) less physically active
2) an unhealthy weight,
3) smokers.
Answer:
We cannot infer a cause-and-effect relationship because treatments were not assigned randomly.
Help pleaseeee!!
-4x - 3x^2 + 6 - 9x^2
Answer:
The answer would be -12x^2-4x+6
Step-by-step explanation:
This is the simplest form it could get since you subtract the two x^2 together.
If Shane’s average number of jumps completed is greater than one-half, then the eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which grade should be awarded 50 points?
Answer:4 2/4
Step-by-step explanation:
Hope this helps
Answer:
The 8th Graders.
Step-by-step explanation:
I don't have an explanation but have a good day.
1 An insurance salesperson earns a 4% commission on every piece of automobile insurance that she writes. What is her commission if she sells a policy that has an $890 premium?
Find the solution of the system of equations
4x-8y=44
2x+4y=-6
It is easiest to solve this system by elimination.
4x-8y=44
(2x+4y=-6) -2 ----> multiply the second equation by -2 to create equations where the x coefficients are opposites
4x-8y=44
(+) -4x-8y=12
-16y=56
y = -7/2
now substitute the value of y into one of the above equations and solve for x
4x – 8(-7/2) = 44
4x + 28 = 44
4x = 16
X = 4
So, the solution is (4, -7/2)
The solution of the system of equations 4x-8y=44 and 2x+4y=-6is (4, -3.5).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equation is 4x-8y=44 ...(1)
and 2x+4y=-6...(2)
To eliminate y term we have to multiply equation 2 with 2.
4x+8y=-12..(3)
Now add equation 1 and 3.
4x-8y+4x+8y=44-12
8x=32
Divide both sides by 8
x=4
Now plug in x value in equation 1
4(4)-8y=44
16-8y=44
Subtract 16 from both sides
-8y=44-16
-8y=28
Divide both sides by 8
y=-28/8
y=-7/2
=-3.5
Hence, the solution of the system of equations is (4, -3.5).
To learn more on Equation:
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Last year, Netanel paid 15% of his earnings in federal taxes. He paid $3000. Jose also paid 15% of his earnings in federal taxes, but he paid $3600. How much more did Jose earn than Netanel?
3 (-2x + 1)
What does this equal
Answer:
-6x+3
Step-by-step explanation:
Problem
What is the slope of the line that contains these points?
***********
slope:
The sum of two numbers is 25. Create an equation using two variables that represents this situation.
Answer:
it could be multiple things it depends what its really asking, id say X+11=25
Step-by-step explanation:
X+11=25
X=14
Multiply.
(2x + 4)(x - 4)
Answer:
-2x-16
Step-by-step explanation:
so what you are going to do for this is use the distributive property. 2x will be multiplied by x and -4. then you will take 4 and multiply x and -4. then you combine your alike terms. 2x-8x+4x-16 you should get -2x-16
The equivalent expression after multiplying is 2(x² - 2x - 8).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(2x + 4) (x - 4)
Remove the parenthesis.
2x² - 8x + 4x - 16
Add like terms.
2x² - 4x - 16
Taking out the common factor.
2 (x² - 2x - 8)
Thus,
The final expression is 2(x² - 2x - 8).
Learn more about expressions here:
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HELPPPPPP!!! PLEASEEE!!!
Given a ⊥ c and b ⊥ c, what can you say about a and b?
A. a ⊥ b, because if two lines are perpendicular to the same line, then they are perpendicular to each other.
B. a and b form a straight line, because if two lines are perpendicular to the same line, then they form a straight line.
C. a and b are intersecting lines because if two lines are perpendicular to the same line, then they are intersecting lines.
D. a || b, because if two lines are perpendicular to the same line, then they are parallel to each other.
Answer:
Answer is B.
Step-by-step explanation:
C is the middle line and A is on one side and B is on the other.
Hope it helps :)
Glimepiride 2mg OD is ordered in a prescription, your pharmacy has 4mg stocks on hand. How much tablet will you give? 2mg
Help - I need the range for the graph
Answer:
4, 11
Step-by-step explanation:
The lowest y value is 0, the highest value is 11
Estandieu's cell phone plan includes 4 GB of data. On the 2nd day of his 31 day billing
cycle he received a text message from his service provider that he has already used
16% of his data. At this rate, will he use more than 4 GB this month?
Answer:78
Step-by-step explanation:
How do I solve -0.4r=16?
Answer:
r = -40
Step-by-step explanation:
1. Move constants to the other side of the equation
r = 16/-.04
2. Simplify (by calculator)
You can use a calculator and plug in 16/-.04
r = -40
2. Simplify (by fraction)
You can turn -.4 into a fraction.
-.04 = - 4/10
r = 16/-(4/10)
r = 16*10/-4
r = -40