Answer:
x = 15/8
Step-by-step explanation:
x/3 = 5/8
Using cross products
8x = 3*5
8x = 15
Divide each side by 8
8x/8 = 15/8
x = 15/8
X= 1 7/8
Step-by-step explanation:
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.
In 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.
A drag racer accelerated from 0 m/s to 200 m/s in 5 s.what was the acceleration
Answer:
40 m/s/s.
Step-by-step explanation:
Acceleration = velocity / time
= 200 / 5
= 40 m/s/s.
Answer:
a = 40m\s^2
Step-by-step explanation:
acceleration is the change of velocity in a certain time interval, which means that it is equal to ( V final - V initial ) \ t
so acceleration here is ( 200 - 0 ) \ 5
which is equal to: 40 m\s^2 and that means that the racer is speeding up by 40 meters each second
Hope it helps! :)
Does a linear relation exist between age and HDL cholesterol? A. There appears to be a positive linear association because r is positive and greater than the critical value. B. There is little or no evidence of a linear association because r is positive and greater than the critical value. C. There appears to be a negative linear association because r is negative and less than the negative critical value. D. There is little or no evidence of a linear association because the absolute value of r is less than the critical value. More
Answer:
The correct answer is - option D. There is little or no evidence of a linear association because the absolute value of r is less than the critical value.
Step-by-step explanation:
Given:
Age Cholesterol
49 55
27 45
52 40
38 57
44 28
The linear correlation coefficient between age and HDL cholesterol can be computed by the=
r = Cov (X, Y)/ δx.δy
=v∑XY /√∑X2. ∑Y2
rv= negative 0.192
The absolute value of r is less than the critical value so there is no or very little evidence of linear association.
Total volume of tree?
Answer:
9,000 cubic feet (250 m3) of wood in the branches.
Step-by-step explanation:
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 :)
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?
Find the common ratio of the geometric sequence 20,80,320,...
Answer:
1:4
Step-by-step explanation:
all of the numbers are being multiplied by 4
Daria states that the value of the expression –45 x 2 – x + 2.5 is sometimes negative. Which of the following values of x would support Daria’s claim? Select two that apply.
– 5 1/4
1
2.3
– 1.84
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
10 points
3. Austin solved the equation as shown below. Which describes the error
that Austin made in his work?
Austin's Work:
-3 + 7x - 9 + 8x = 54
15x - 6 = 54
15x = 60
x = 4
A. Austin did not combine 7x and 8x correctly.
B. Austin did not combine -3 and -9 correctly.
C. Austin did not divide correctly
D. Austin did not make an error in his work.
Answer:
B. he didn't combine -3 and -9 correctly
The error that Austin made in his work is Austin did not combine -3 and -9 correctly.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that solved the equation -3 + 7x - 9 + 8x = 54 as shown below.
-3 + 7x - 9 + 8x = 54
15x - 6 = 54
15x = 60
x = 4
We need to check where did Austins has done wrong.
-3 + 7x - 9 + 8x = 54
15x-12=54
For Austin while combining -3 and -9 he got -6 which is wrong.
So Austin did not combine -3 and -9 correctly.
Hence, the error that Austin made in his work is Austin did not combine -3 and -9 correctly.
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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
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).
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The perimeter of a rectangular room is 60 feet. Let x be the width of the room (in feet) and let y be the length of the room (in feet). Select all of the equations below that could model this situation.
2(x+y)=60
2x+2y=60
x+2y=60
2x+y=60
x+y=60
Answer:
Step-by-step explanation:
2(x+y)=60
2x+2y=60
The second is the same as the 1st but with the distribution
perimeter formula: P=2(W+L)
We can distribute .Then P = 2W+2L
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.
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:
What is the absolute value of these respective values?
18 and -91
Answer:
|18| and |91|
Step-by-step explanation:
absolute values means that you just take away any negative signs basically
What is 9/10 divided by 3/4?
Answer:
6/5
Step-by-step explanation:
hi! when dividing fractions, we use the KCF rule, which stands for keep,change,flip. we keep the first fraction the same, change the division symbol to multiplication, and flip the second fraction to its reciprocal. therefore, we now have:
9/10 * 4/3
now, we can multiply the numerators and denominators.
36/30
we can simplify this.
6/5
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:
3 (-2x + 1)
What does this equal
Answer:
-6x+3
Step-by-step explanation:
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.
Nick earns 108$ for working 9 hours. Ian earns 77$ for working 7 hours. Ryan earns 92$ for working 8 hours and Justin earns 115$ for working for 10 hours. Who has the highest hourly wage?
(Not mine its my little sister's math test Imao)
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
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
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.
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.
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
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.
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