Answer:
P 81 = 73.5
Step-by-step explanation:
This is a normal distribution problem with a mean of 63.2 and standard deviation of 11.7.
Let the number that separates the bottom 81% from the top 19% be x' and let it's z-score be z'.
P(x ≤ x') = P(z ≤ z') = 0.81
Using the normal distribution table,
z' = 0.878
But note that the z-score for any value is that value minus the mean divided by standard deviation.
z' = (x' - μ)/σ
0.878 = (x' - 63.2)/11.7
x' = 73.4726 = 73.5 to 1 d.p
Hope this Helps!!!
Final answer:
To find the value that separates the bottom 81% from the top 19%, you can use the z-score formula and the given mean and standard deviation to calculate the desired value.
Explanation:
To find the value that separates the bottom 81% from the top 19%, we need to find the z-score corresponding to the 81st percentile.
Using the formula Z = (X - μ) / σ where X is the given value, μ is the mean, and σ is the standard deviation, we can rearrange it to solve for X as:
X = Z * σ + μ
Since we know the mean is 63.2 and the standard deviation is 11.7, we can calculate the z-score corresponding to the 81st percentile (0.81) using the standard normal distribution table or a calculator.
Once we have the z-score, we can substitute it into the formula to find the corresponding value.
Budget planners in two towns, Alphaville and Betaville, developed models to determine the budget surplus (in dollars) for a year based on the tax revenue (in thousands of dollars) for the year. Using historical data, Alphaville’s planner produced the model -2x2+ 500x, while Betaville’s planner produced the model x2- 100x + 10,000. What expression gives how much greater Alphaville’s annual budget surplus is than Betaville’s for a particular amount of tax revenue? If the tax revenue that year in each town is $75,000, how much greater is Alphaville’s budget surplus than Betaville’s that year?
Please help! I WILL MARK BRAINLIEST
Answer:
(a)[tex]-3x^2+150x-10000[/tex]
(b)[tex]-\$16,863,760,000[/tex]
Step-by-step explanation:
Alphaville's Budget Surplus Model is [tex]-2x^2+ 500x[/tex]
Betaville's Budget Surplus Model is [tex]x^2- 100x + 10000.[/tex]
We want to determine the expression that shows how much greater Alphaville’s annual budget surplus is than Betaville’s for a particular amount of tax revenue.
To do this, we subtract Betaville's Model from Alphaville's model.[tex]-2x^2+ 500x-(x^2- 100x + 10000)\\[/tex]
Opening the brackets
[tex]-2x^2+ 500x-x^2+100x - 10000\\[/tex]
Collect like terms and simplify
[tex]-2x^2-x^2+100x + 500x- 10000\\=-3x^2+150x-10000[/tex]
The expression that shows how much greater Alphaville's Budget is:
[tex]-3x^2+150x-10000[/tex]
(b) If the tax revenue that year in each town is $75,000
We want to evaluate the expression derived above when the tax revenue that year in each town is $75,000 i.e.at x=75000
[tex]-3x^2+150x-10000\\=-3(75000)^2+150(75000)-10000\\=-\$16,863,760,000[/tex]
What is the value of cos (120 degrees)?
a. 5.0
b. 8.7
c. -1.7
d. -0.5
Answer:
b. 8.7
Step-by-step explanation:
write the mixed number as a fraction 1 3/5. Please put the rational
Brainliest plz.
Answer:
1 3/5 will be written as 8/5 in improper form.
Step-by-step explanation:
1 3/5 can also be seen as 1 + 3/5.
By making the 1 a like term, i.e. multiplying it by 5 (both numerator and denominator) we can add them as like terms.
1 will become 5/5.
5/5 * 3/5
= (5+3)/5
= 8/5
The fractional form of mixed number 1 3/5 is 8/5 .
Given,
Mixed number : 1 3/5
Here,
1 3/5 can also be seen as 1 + 3/5.
By making the 1 a like term, i.e. multiplying it by 5 (both numerator and denominator) we can add them as like terms.
1 will become 5/5.
5/5 * 3/5
= (5+3)/5
= 8/5
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What is the solution to the equation 4(1/2) ^x-1 =5x+2
Answer:
-1
Step-by-step explanation:
Photomath
Answer:
A- 0.6
Step-by-step explanation:
Correct on edge
Will mark Brainliest!
Tanya spent $8.15 on 5 cans of tuna. She used a coupon that gave her 35¢ off each can.
What was the price of a can of tuna without the coupon?
what quadrant is (-3,y) y
Its found in the second quadrant
Complete the work to determine the value of a.
Use the law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction.
Substitute: StartFraction sine (45 degrees) Over a EndFraction = StartFraction sine (77 degrees) Over 8 EndFraction .
Cross multiply: 8sin(45°) = asin(77°).
Solve for a and round to the nearest hundredth:
a ≈
.
Answer:
5.81
Step-by-step explanation:
just did the problem
To find the value of 'a' given the angles and one side length using the Law of Sines, we calculate a ≈ 5.80 by substituting the values into the formula and solving.
Explanation:To determine the value of a using the Law of Sines, we are given two angles A and B and the length of one side b. We use the equation provided:
\(\frac{\sin(A)}{a} = \frac{\sin(B)}{b}\)
Substitute the given information into the equation:
\(\frac{\sin(45^\circ)}{a} = \frac{\sin(77^\circ)}{8}\)
Next, cross multiply to solve for a:
\(8 \times \sin(45^\circ) = a \times \sin(77^\circ)\)
Finally, solve for a:
\(a = \frac{8 \times \sin(45^\circ)}{\sin(77^\circ)}\)
Use a calculator to find the approximate value of a, rounding to the nearest hundredth:
a \approx \frac{8 \times 0.7071}{0.9744}
a \approx \frac{5.6576}{0.9744}
a \approx 5.80
Question
James and shekar were given an apple pie each. James ate 2/3 of the pie and shekar ate 3/4. What portion of the pie did they eat together?
a. More than one pie
b. Less than one pie
c. Three sixth of pie
d. The relationship cannot be determined from the above information given.
Answer:
a. More than one pie
Step-by-step explanation:
2/3 + 3/4
8/12 + 9/12 = 17/12
17/12 = 1 5/12
3x - 12y = -30 and x - 6y = -12
check attached file it has the answers
3x =-18
X= -12
Answer:
Step-by-step explanation:
A tree is 11 meters tall. What is its height in feet?use the following conversion 1 meter is 3.3 feet
Answer:
The tree is 36.3ft
Explanation:
Tree=11m
If 1 meter is equal to 3.3 feet we multiple the number of meters(11) to 3.3
To convert from meters to feet, we multiply the given length in meters by the conversion ratio of 3.3. The tree, being 11 meters tall, is therefore approximately 36.3 feet tall.
Explanation:The question asks us to convert the height of a tree from meters to feet. The tree is 11 meters tall and we'll use the conversion rate of 1 meter being equal to 3.3 feet. To do this, we multiply the height of the tree in meters by the conversion ratio: 11 meters * 3.3 feet/meter. This gives us a height of 36.3 feet. So the tree is 36.3 feet tall.
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Multiply. Write your answer as a fractionin simplest form. 8/15(−2/3)=
Answer:
-16/45
Step-by-step explanation:
8/15 x (-2/3)
multiplying a positive and a negative equals a negative
-8/15 x 2/3
multiply the fractions
-16/45
Answer:
-16/46
Step-by-step explanation:
Identificar todas las formas que se representa el intervalo del dominio de la función
Answer:
III
Step-by-step explanation:
Help ASAP PICTURE INCLUDED ! /
Find the value of x. Then find the mZS and m/T.
Enter your answers in the boxes.
x=
mZS =
mZT =
Answer:
x=34
m∠S = 38
m∠T = 111
Step-by-step explanation:
Since the angles of a triangle should add up to 180, you can solve this equation:
31 + x+4 + 3x+9 = 180
the solution is x=34
Then the angles S and T can be found by substituting that value for x.
Answer:
Step-by-step explanation:
In a triangle, there are 180 degrees.
180- 31 = 149 degrees
(x + 4) + (3x+9) = 149
x=34
X+ 4 = 38
3x +9 =111
X =34, T=111, S=38
Factor completely.
23 + 7x2 – 52 – 35 =
Pls help
Answer:
Cannot be factored further.
Step-by-step explanation:
I'm just gonna pretend that the equal sign isn't there.
First, simplify the numbers. when you simplify, you should get 7x^2-64.
This is the final. Your answer should be it cannot be factored further.
Answer:
-50
Step-by-step explanation:
First you have to find what 7 x 2 = (14). Then you take the 14 and add it to the 23 to get 37. You then have to subtract 52 from 37 and that gets you -15. Finally, you subtract 35 from -15 and you get your final answer of -50.
please help me, very ez
Answer:
Q' (-2, 2)
P' (-2, 7)
R' (6, 2)
Step-by-step explanation:
When reflecting over a diagnal line such as y = x or y = -x, a trick is to count the boxes at an angle to see how many spaces it is away from the line. Be sure to recipicate what you counted the first time, and when reflecting over y = -x, flip the x and y coordinates and if needed, change the signs.
Hope this helps!
Answer:
Q' (-2, 2)
P' (-2, 7)
R' (6, 2)
Step-by-step explanation:
What is volume of a cylinder with base area 647 cm2 and a height equal to twice the radius? Give your answer in
terms of pi
A)1024
B)256
C)4096
D)512
Answer:
A)1024
Step-by-step explanation:
i got it right
what is -2 - the radical 15 over 2
Answer:
Step-by-step explanation:
-3.9364916731
A large dog weighs 80 pounds. What is the dog’s weight in ounces? (16 oz = 1 lb) A.5 oz B. 10 oz C. 640 oz D. 1,280 oz
Answer:
1280 Oz - Option D
Step-by-step explanation:
16 ounces to a pound. 16 × 80 = 1280oz
Answer: D
If you convert it it would give you 1,280
picture attachment...
Answer:
march 9th and april 9th
Step-by-step explanation:
I need help with this question ASAP for my homework
Answer:
Slope = 3
Step-by-step explanation: Use the slope intercept form
y= mx +b
Im 100% sure this is correct
A company uses the formula below to determine the salary offered to a potential employee, where s is the salary and y is the number of years of experience the potential employee has. s = 1,856y + 45,005 What salary would be offered to a potential employee with 10 years of experience?
Answer:
$63,565
Step-by-step explanation:
We can solve this problem by using the equation provided to us:
[tex]s = 1,856y + 45,005[/tex]
We are solving for 10 years of experience so for y, we plug in 10 as shown below. Now lets solve for s:
[tex]s = 1,856(10) + 45,005[/tex] Multiply 1,856 by 10
[tex]s=18,560+45,005[/tex] Add the two numbers
[tex]s=63,565[/tex]
The salary offered to a potential employee with 10 years of experience is $63,565
What is the result when 4x^3-3x^2+4x-5 is divided by x-1
Look at the attached picture⤴
Look at the attached picture⤴Hope it will help u....:)
PLEASE HELP ASAP! ONLY TRUE ANSWERS!
What is the surface area of the triangular prism made by folding up this net? Given:
a= 20 cm b= 25 cm C= 28 cm
The surface area of a triangular prism can be found by adding the areas of all faces. The triangular faces are calculated using the formula for the area of a triangle, and the rectangular faces are calculated using the given dimensions of the sides of the triangles. The total surface area is the sum of these areas.
Explanation:The question is asking for the surface area of a triangular prism. In order to find this, you need to add the areas of all the faces. A triangular prism has 5 faces, 2 are triangles, and 3 are rectangles.
For the triangular faces, we use the formula for the area of a triangle which is 1/2ab, where a and b are the provided dimensions. Thus, the triangle's area is 1/2 * 20 cm * 25 cm = 250 cm². Since there are two of these, the total area is 500 cm².
The rectangular faces are more challenging since it seems like we don't have enough information. The rectangle is made up of the sides of the triangles, so one side is 20 cm. However, we don't know the length (C) of the triangle which would be the other side of the rectangle. Assuming C is given, multiply each corresponding side to get the area of each rectangle, and add all together.
The final step is to add the area of the triangles and rectangles together to find the total surface area of the prism.
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What is the value of x?
3
4
6
8
Which angles are pairs of alternate exterior angles? Check all that apply.
4 lines intersect to form 16 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 9; 9, 10, 11, 12; 13, 14, 15, 16.
A: Angle5 and Angle11
B: Angle7 and Angle12
C: Angle11 and Angle16
D: Angle2 and Angle14
E: Angle4 and Angle6
F: Angle8 and Angle10
Answer:
A & E
Step-by-step explanation:
Whats the solution system? 2x + 5y = 14 x + 3y = 16
Answer:
Step-by-step explanation:
2x + 5y = 14 -------------(i)
x + 3y = 16 ----------------(ii)
To eliminate x, multiply the second equation by (-2)
(ii)*(-2) -2x - 6y = -32
(i) 2x + 5y = 14 { Now add & x is eliminated}
- y = - 18 {divide by (-1)}
y = 18
Plug in y =18 in Equation (i)
2x + 5*18 = 14
2x + 90 = 14
2x = 14 - 90
2x = -76
x = -76/2
x = -38
Answer:
Step-by-step explanation:
hello :
2x + 5y = 14...(*)
x + 3y = 16....(**)
multiply (**) by -2 : -2x-6y=-32 ...(***)
add(*) and (***) : -y=-18 so y = 18
put this value in to (*) : 2x+5(18)=14
2x = -76
x = - 38
In the above figure, m∠XOV = 47° and m∠UOW = (2x + 35)°. If ∠UOW and ∠XOV are vertical angles, what is the correct equation that could be used to solve for x?
Answer:
(2x + 35)° = 47°
What are the domain and range of f(x) = (1/5)^X
Answer:
Step-by-step explanation:
hello : f(x) = (1/5)^X
the domain is : D=ℝ =]-∞ ,+∞[
limf(x) =0 and : limf(x) =+∞
the range is : E= ]0 ,+∞[
x⊶ -∞ x⊶ +∞
NEED ANSWER ASAP!!! Do the data in this table show a function? If you switch the input and the output values is it a function?
Answer:
no
Step-by-step explanation:
no input can have diffrent outputs if you change the input values then yes it is a function hope this helps god bless
Is someone gives me the answer to these...you are literally a Goat
Answer:
1. 12 games
2. 5 gift cards
3. 6 games
4. 2 more bags
Step-by-step explanation:
1. 50/ 4= 12.5, you can't play half a game, so reduce to 12
2. 120-36=84
84/15=5.6, again can't have part, reduce to 53. 720-330=390
390/60=6.5, you get it, reduce to 64. 30*4=120
200-120=80-- 80/30=2.6667, reduce to 2