Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|
Step-by-step explanation:
An ellipse has a co-vertex at (–8, 9) and a foci at (4, 4). If the center of the ellipse is located below the given co-vertex, then what is the equation of the ellipse? Write in standard form. Guide question? 1) What are the coordinates of the center of the ellipse? 2) Is the ellipse horizontal or vertical?
Answer:
Step-by-step explanation:
“the center of the ellipse is located below the given co-vertex”
Co-vertex and center are vertically aligned, so the ellipse is horizontal.
Equation for horizontal ellipse:
(x-h)²/a² + (y-k)²/b² = 1
with
a² ≥ b²
center (h,k)
vertices (h±a, k)
co-vertices (h, k±b)
foci (h±c,k), c² = a² -b²
One co-vertex is (-8,9), so h = -8.
One focus is (4,4), so k = 4.
Center (h,k) = (-8,4)
c = distance between center and focus = |-8 - 4| = 12
b = |9-k| = 5
a² = c² + b² = 169
(x+8)²/169 + (y-4)²/25 = 1
Carla invest $10,000 into an account with a 2.2% interest rate that is compounded annually. How much money will she have in his account if she keeps her for five years? Round your answer to the nearest dollar
PLEASE HURRY!! NEED IT ASAP!! WILL MAKE BRAINLIEST
Question 1 of 10
Which choice is equivalent to the expression below when y > or equal to 0?
Answer:
I think B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
[tex]\sqrt{y^3} +\sqrt{9y^3} -3y\sqrt{y} \\=\sqrt{y^2 *y} +\sqrt{9*y^2*y} -3y\sqrt{y} \\=y\sqrt{y} +3y\sqrt{y} -3y\sqrt{y} \\=y\sqrt{y}[/tex]
when x^2 - 3x +2k is divided by x+2, the remainder is 7. find the value of k.
Answer:
let's find the zeros of the divisor
x+2=0
x=-2
let x²-3x+2k =f(x)
Now f(-2)=(-2)²-3(-2)+2k=7
4+6+2k=7
2k=7-10
2k=-3
k=-3/2
The graphs below have the same shape. What is the equation of the blue graph?
Answer:
the answer is D
Step-by-step explanation:
Answer:
werwegwrvetvytby46bu46unu46e8mn667mmmm
Step-by-step explanation:m7
ui 6ei 67i77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777mmm
if x = 3 and y = 2, then the value of ( x - y )(x² + xy + y²) is
(a) 31 (b) 19 (c) 1 (d) 25
Answer:
19
Step-by-step explanation:
(3-2)(3^2+3x2+2^2)
(1)(9+6+4)
(1)(19)
[tex]\displaystyle\bf \underbrace{ (x-y)(x^2+xy+y^2)}}_{x^3-y^3}=3^3-2^3=19\\\\Answer: b)19[/tex]
find the missing lengths in the triangle. round to the nearest tenth if necessary
Answer:
[tex]x=8,\\y\approx 6.9[/tex]
Step-by-step explanation:
The side lengths of all 30-60-90 triangles are in ratio [tex]x:x\sqrt{3}:2x}[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.
In the given diagram, the side labelled 4 is opposite to the 30 degree angle. Since [tex]x[/tex] is labelled as the hypotenuse of the triangle, [tex]x[/tex] must be [tex]4\cdot 2=\boxed{8}[/tex].
Variable [tex]y[/tex] must then represent [tex]x\sqrt{3}[/tex] for [tex]x=4[/tex], yielding [tex]y=4\sqrt{3}\approx \boxed{6.9}[/tex]
If MN=14, NO=11, and QR=27, find the length of PQ. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answer:
PQ = 34.4
Step-by-step explanation:
First, we know that the angles in a triangle add up to 180 degrees. Therefore, angle M = 48 and angle R = 74
Next, because there is a corresponding angle in each triangle, they are similar. This means that the ratios between corresponding sides are the same. For example, the side opposite angle O (MN) over the side opposite angle R (PQ) is equal to the side opposite angle N (OM) over the side opposite angle Q (RP)
This can be written as MN/PQ = OM/RP. Note that both the numerators are on the same triangle, and MN and PQ correspond, as well as OM and RP.
We are given MN, NO, and QR. Because NO is opposite a 48 degree angle (angle M) as well as QR (angle P), we can say that NO/QR = another ratio of a pair of corresponding sides. Because we want to find PQ, and both PQ and MN are opposite 74 degree angles, we can say that
NO/QR = MN/PQ
Thus,
11/27 = 14/PQ
multiply both sides by PQ to remove a denominator
PQ * 11/27 = 14
multiply both sides by 27 to remove the other denominator
PQ * 11 = 14 * 27
divide both sides by 11 to isolate the PQ
PQ = 14 * 27 /11
PQ = 34.4
A study of homeowners in the 5th congressional district in Maryland found that their annual household incomes are normally distributed with a mean of $41,182 and a standard deviation of $11,990 (based on data from Nielsen Media Research). If an advertising campaign is to be targeted at those whose household incomes are in the top 20%, find the minimum income level for this target group.
Answer:
The minimum income level for this target group is of $51,253.6.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of $41,182 and a standard deviation of $11,990
This means that [tex]\mu = 41182, \sigma = 11990[/tex]
Find the minimum income level for this target group.
The 100 - 20 = 80th percentile, which is X when Z has a p-value of 0.8, so X when Z = 0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - 41182}{11990}[/tex]
[tex]X - 41182 = 0.84*11990[/tex]
[tex]X = 51253.6[/tex]
The minimum income level for this target group is of $51,253.6.
The equation px²+px+3q=1+2x has roots 1/p and q
(a) Find the values of p and of q
Answer:
p = 2/3
q = 1/2
Step-by-step explanation:
The given equation is ,
[tex]\sf\to px^2 + px + 3q = 1 + 2x [/tex]
We can write it as ,
[tex]\sf\to px^2 + px + 3q - 1 -2x=0 [/tex]
Rearrange the terms ,
[tex]\sf\to px^2 - 2x + px + (3q -1)=0 [/tex]
This can be written as ,
[tex]\sf\to px^2 + x ( p - 2) + (3q -1) =0[/tex]
Now wrt Standard form of a quadratic equation ,
[tex]\bf \implies ax^2+bx + c = 0 [/tex]
we have ,
a = p b = p - 2 c = 3q - 1We know that product of zeroes :-
[tex]\to \sf q \times \dfrac{1}{p} = \dfrac{3q-1}{p } \\\\\sf\to 3q - 1 = q \\\\\sf\to 2q = 1 \\\\\sf\to \boxed{ q =\dfrac{1}{2}}[/tex]
Sum of roots :-
[tex]\to \sf q + \dfrac{1}{p} = \dfrac{2-p}{p} \\\\\sf\to \dfrac{ qp + 1}{p}= \dfrac{2-p}{p} \\\\\sf\to qp + 1 = 2 - p \\\\\sf\to p/2 + p = 1 \\\\\sf\to 3p/2 = 1 \\\\\sf\to \boxed{ p =\dfrac{2}{3}}[/tex]
PH Find the expected value of the winnings from a game that has the following payout probability distribution: 1 2 Payout ($) 0 5 10 0.1 Probability 0.12 0.2 0.38 0.2 Expected Value = [?] Round to the nearest hundredth.
Answer:
2.96
Step-by-step explanation:
Just multiply the payout by its probability
0*.12+1*.2+2*.38+5*.2+10*.1=2.96
Solve the equation and enter the value of x below. 3(x + 4) = 123
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]3(x + 4) = 123 \\ 3x + 12 = 123 \\ 3x = 123 - 12 \\ 3x = 111 \\ x = \frac{111}{3} \\ x = 37[/tex]
=> The answer is 37.
Answer:
X=37
Step-by-step explanation:
3(x+4)=123
3x+12=123
3x=123-12
3x=111
3x/3 =111/3
x=37
f(x)=-x^2-9x find f(-2)
Answer:
14
Step-by-step explanation:
put -2 where x is
f(x)=-x^2-9x
f(-2)= -(-2)^2 -9(-2)
f(-2)= -4 + 18
f(-2)= 14
let f(x)=7x-4
what is f(6)?
Answer:
38
Step-by-step explanation:
To find the value of f(6), we substitute the value 6 where x is into the function. You would get:
7(6) - 4
42 - 4
f(6) = 38
Answer:
See my writting here have answer
A group of hospital workers belonging to a union each earn the same hourly wage. The union dues are 2 percent of each paycheck regardless of whether the employee works full-time, half-time, or quarter-time. Does this mean that the amount of money deducted will be the same for all the employees?
Answer:
No, different amounts will be deducted.
Step-by-step explanation:
Because the amount deducted is a percent, it changes based on the total amount.
For example, If someone takes 10% of $100, they will have taken $10. And if they take 10% from someone who has $10, they will have taken $1.
Good luck!
What is the slope of the line whose equation is y-4=5/2(x-2)?
Answer:
[tex]slope = \frac{ - 1 - 4}{0 - 2} \\ = \frac{ - 5}{ - 2} \\ = { \tt{ \frac{5}{2} }}[/tex]
Which expression is equivalent to 8-(6r+2) HELP SMB PLEASE!
Answer:
A.
Step-by-step explanation:
A.-6r+6
Juan le dice a Laura dentro de 18 años tendré 4 veces la edad que tenia hace 9 años. ¿Qué edad tiene juan?
Answer:
18
Step-by-step explanation:
18
(-10)+3=10-3 true or false
Answer:
False
Step-by-step explanation:
10-3 =7
-10 + 3 = - 7
That is why this is correct
Answer:
false
Step-by-step explanation:
(-10)+3=10-3
-7 = 7
= -7≠ 7
A car with a passenger of mass 56 kg can travel a distance of 120 km using 10 l of petrol. If the number of passengers increases to 4 people with a total mass of 224 kg, the distance travelled decreases by 10%.
What is the total distance that the car carrying 4 passengers can travel using 10 l of petrol?
Answer:
120 * 0.90 = 108 km
Step-by-step explanation:
Answer:
108km
Step-by-step explanation:
Find the answer to each trigonometric function below.
Answer:
Sin A = [tex]\frac{opposite}{hypotenuse} =\frac{32}{40} =\frac{4(8)}{5(8)} =\frac{4}{5}[/tex]Cos C = [tex]\frac{adjacent}{hypotenuse} =\frac{16}{34}=\frac{2(8)}{2(17)} =\frac{8}{17}[/tex]Tan A = [tex]\frac{opposite}{adjacent} =\frac{21}{20}[/tex]H Solve the following questions.
| Mrs Liya cut a cake into 10 parts and give it out to her 3 children. Liza got the largest parts while Lina got the smallest parts. The difference between the number of parts Liza had and the number of
parts Lina had is equal to the number of parts Lini had. How many
parts did each of them have?
Answer:
Liza: 5 parts
Lina: 2 parts
Lini: 3 parts
Step-by-step explanation:
Basically, the parts whould equal ten. By following the criteria, Lina must have the least parts, while LIza has the most parts. If the difference between Liza and Lina should be equal to the number of parts Lina had
5-2=3 parts for Lini
Thank you. Tell me if any incorrections.
the line segment AB is rotated through 90° clockwise about the point C. the coordinates of A', the image of A, are
Answer:
B
Step-by-step explanation:
We dont know rules about rotating a point. We only know rules about rotating about the orgin.
We can translate this line segment so point c is on the orgin because
A translation is a rigid transformationWe also know rotation rules about the orgin.Point C is at (1,3) so let move this all points 1 to the left and 3 down. Why All Points?
A translation is parallel from it original image to its second or new image so this means Point B and Point A will both move as well. Let just focus on Point A. The new coordinates are:
Point A prime is (1,0).Let apply the 90 degree clockwise rule. Point C doesnt move since it is at the orgin and it at the center of rotation.
(x,y) goes to (y,-x).
So Point A prime is now at
(0,-1).
Now let translate the figure back to Point C (1,3). by going 1 to the right and 3 up so our new point of Point A prime is at
(1,2).
Last question of this. Please help.
Answer:
26 hours
Step-by-step explanation:
Add all of them up and get 26
Sophia worked for 6 hours and got paid $85. How much money did Sophia will earn if she works for 18
hours?
Answer: $255
Step-by-step explanation:
Use proportions:
[tex]\frac{6hr}{85} =\frac{18hr}{x}[/tex]
Cross-multiply & solve:
[tex]6x=18 * 85\\6x=1530\\x=255[/tex]
The function f(x) is a quadratic function and the zeros of f(x) are 1 and 5. The y-intercept of f(x) is 20. Write the equation of the quadratic polynomial in standard form.
Answer:
4x² - 24x + 20 = 0
Step-by-step explanation:
a(1)² + b(1) + 20 = 0
a(5)² + b(5) + 20 = 0
a + b = - 20 ⇒ b = - a - 20 ...... (1)
25a + 5b = - 20 .......... (2)
(1) -----> (2)
25a + 5( - a - 20) = - 20
20a - 100 = - 20 ⇒ a = 4
4 + b = - 20 ⇒ b = - 24
4x² - 24x + 20 = 0
Rachel has a toy shaped like a triangular pyramid in which the base and the lateral faces are congruent equilateral triangles. The side lengths of the triangles are 4 inches. The height of each triangle is about 3.5 inches. Rachel wants to cover all the lateral surfaces except for the base with yellow paper.
The amount of paper required to cover the lateral surfaces is about square inches. If she wants to cover the entire pyramid with yellow paper, she would require about more square inches of paper.
The amount of paper required to cover the toy is 55.86 square inches.
How do we determine the amount of paper required to cover the toy?parameters given are:
Base length, b = 4 inches
Height, h = 3.5 inches
We calculate that the amount of paper required to cover the toy is known as the surface area:
A = (b²√3/2) + 3(b × h)
A = (4²√3/2) + 3(4 × 3.5)
A = 55.86
In conclusion, if she wants to cover the entire pyramid with yellow paper, she would require about 55.86 square inches.
Learn more about surface areas at:
https://brainly.com/question/76387
#SPJ1
Rectangle PQRS is rotated 90° clockwise about the origin.
On a coordinate plane, rectangle P Q R S has points (negative 3, negative 1), (negative 1, negative 1), (negative 1, negative 4), (negative 3, negative 4).
What are the coordinates of R’?
R’(4,–1)
R’(–4,1)
R’(1,4)
R’(–1,–4)
Answer:
R' (-4 , 1)
Step-by-step explanation:
Rotation of 90°
(Clockwise)
(x, y) ----> (y, -x) (take opposite of x, then switch the x and y)
Rotation of 90°
(CounterClockwise)
(x, y)------>(-y, x)
Rotation of 180°
(Both Clockwise and Counterclockwise)
(x, y) ----->(-x, -y)
Rotation of 270°
(Clockwise)
(x, y) ----->(-y, x)
Rotation of 270°
(CounterClockwise)
(x, y)------>(y, -x)
Answer:
The answer is: R'(-4,1).
Step-by-step explanation:
If the 90 degree angle is clockwise, the new figure will be in quadrant 2 (or in the section directly above the pre-image). Therefore, (x,y) maps to (y,-x), which will give us (-4,1).
Marcos buys a pumpkin that weighs 1.37 pounds. Gabriel buys a pumpkin that weighs 0.24 pounds more than Marcos' pumpkin. How much does Gabriel's pumpkin weigh, in pounds?
Answer:
1.61 pounds
Step-by-step explanation:
Weight of Marcos pumpkin = 1.37 pounds
Weight of Gabriel's pumpkin = Weight of Marcos pumpkin + 0.24 pounds
= 1.37 pounds + 0.24 pounds
= 1.61 pounds
Weight of Gabriel's pumpkin = 1.61 pounds
Please help,
Consider the line 5x - 3y = -4.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
5x - 3y = -4
-3y = -5x - 4
3y = 5x + 4
Y = (5/3)x + (4/3)
The slope of the line is (5/3).
(Its y-intercept is 4/3 but we don't need that.)
Any line parallel to it has same slope. (5/3)
Any line perpendicular to it has slope that is the negative reciprocal of 5/3. (-3/5)
