a=associates / p=partners
1a= $800 / 1p= $1500
(6)a + (2)p = 800 x 6 + 1500 + 2 = $7800
(x)a + (y)p = $z
hope this helps :)
The slope of EF¯¯¯¯¯ is −52.
Which segments are perpendicular to EF¯¯¯¯¯?
Select each correct answer.
NP¯¯¯¯¯¯, where N is at (−3, 4) and P is at (−8, 2)
GH¯¯¯¯¯¯, where G is at (6, 7) and H is at (4, 12)
JK¯¯¯¯¯, where J is at (3, −2) and K is at (5, −7)
LM¯¯¯¯¯¯, where L is at (1, 9) and M is at (6, 11)
Based on the above, the segments that are perpendicular to EF are LM and NP.
Why is the segment are LM and NP perpendicular to EF ?Note that when two lines are perpendicular, we can say that;
M1 * M2 = -1 As M1 and M2 are known to be the slopes of the lines.
Therefore, when the the slope of EF is said to be −5/2, then one can say that the slope of the segment that is said to be perpendicular to EF will have to be equal to m1*m2=-1, m2=-1/m1, m2=-1/(-5/2) or m2=2/5.
Scenario one:
JK , if J is at (3, −2) and K is at (5, −7)
To find the slope JK, then
m=(y2-y1)/x2-x1)
m=(-7+2)/(5-3)
m=-5/2
-5/2 is not equal to 2/5
Therefore, JK is not perpendicular to EF
Scenario 2
Find GH , when G is at (6, 7) and H is at (4, 12)
To find the slope GH
m=(y2-y1)/x2-x1)
m=(12-7)/(4-6)
m=5/-2
m=-5/2
Since -5/2 is not equal to 2/5 then GH is not perpendicular to EF
Scenario 3:
Find LM , If L is at (1, 9) and M is at (6, 11)
To find the slope LM, then
m=(y2-y1)/x2-x1)
m=(11-9)/(6-1)
m=2/5
Since 2/5 is equal to 2/5
Then LM is perpendicular to EF
Scenario 4:
Find NP , if N is at (−3, 4) and P is at (−8, 2)
To find the slope NP, then
m=(y2-y1)/x2-x1)
m=(2-4)/(-8+3)
m=-2/-5
m=2/5
Since 2/5 is equal to 2/5.
Therefore, NP is perpendicular to EF
Based on the above calculations, the segments that are perpendicular to EF are LM and NP.
See correct format of question written below
The slope of EF is −5/2 .
Which segments are perpendicular to EF?
Select all the right answers please
1. JK , where J is at (3, −2) and K is at (5, −7)
2. GH , where G is at (6, 7) and H is at (4, 12)
3. LM , where L is at (1, 9) and M is at (6, 11)
4. NP , where N is at (−3, 4) and P is at (−8, 2)
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he average (arithmetic mean) of 100 measurements is 23, and the average of 50 additional measurements is 27 Quantity A uantity HB The average of the 150 measurements 25 Quantity A is greater Quantity B is greater
The average of the 150 measurements is 24.33, and Quantity B with a value of 25 is greater.
To compare the averages of the 150 measurements, let's calculate the total sum of all the measurements.
For the first set of 100 measurements with an average of 23, the total sum is 100 * 23 = 2300. For the second set of 50 measurements with an average of 27, the total sum is 50 * 27 = 1350.
To find the average of all 150 measurements, we need to find the total sum of all 150 measurements. Adding the two total sums calculated above, we have 2300 + 1350 = 3650.
To find the average, we divide the total sum by the total number of measurements: 3650 / 150 = 24.33.
Comparing the average of the 150 measurements to the individual averages A and B:
Quantity A: 24.33
Quantity B: 25
Since 25 is greater than 24.33, the answer is that Quantity B is greater.
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What two rational expressions sum to 3x−4x2+x−12?
PLEASE HELP URGENTLY!!!!!!
Answer:
Step-by-step explanation:
g
Step-by-step explanation:
16. +. 5
__. ____
7(x+4). 7 (x-3)
Can someone please help me ;-; this is due today
Classify the following triangle check all that apply
A. Acute
B. Obtuse
C. Equilateral
D. Right
E. Isosceles
F. Scalene
Answer:
The correct answer: F (Scalene) and A (Acute)
Step-by-step explanation:
F. (Scalene): By definition, a scalene triangle is a triangle that has no equal sides, and no equal angles. This definition matches your given triangle, since it has no equal sides and angles.
A. (Acute): By definition, an acute triangle is a triangle in which all the internal angles are less than 90 degrees. This definition matches your given triangle, since all of the internal angles are less than 90 degrees.
The given triangle is not obtuse, equilateral, right, and isoceles.
It is not an obtuse triangle because none of the angles are greater than 90 degrees.
It is not an equilateral triangle because its sides are not equal.
It is not a right triangle because none of its internal angles measure 90 degrees.
And it is not an isoceles triangle because by definition, an isoceles triangle must have two equal sides. Your given triangle has no equal sides.
PLEASE HELP!!
The diagram shows the cross-section ABCD of a sculpture in the shape of
a prism
with perpendicular height 9 cm.
AB = 14 cm, CD = 8cm, AD = 12cm and BC = 10cm
The height of the prism is also 9 cm.
What is the total surface area of the sculpture in cm2?
Type each step of your working on a separate line.
Answer:
99 (cm^2)
Step-by-step explanation:
Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.
The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).
One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.
Then, add the area of the three parts.
72+9*sqrt(19)/2+9*(6-sqrt(19))/2=99 (cm^2)
What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
If the tire height is 5.2 in. and the rim diameter is 17 in., what is the tire diameter?
Answer:
Circumference = (3.14)(15) = 47.1 in
Step-by-step explanation:
Graph the line that passes through the points (-2,-1) and (-4,5) and determine the equation of the line
Answer:
y = -3x-7Step-by-step explanation:
Find the slope:
Going from (-4,5) to (-2,-1):
Rise = (-1 - 5) = -6
Run = (-2-(-4) = 2
Slope = Rise/Run = (-6/2) = -3
y = mx + b
y = -3x + b
Find b by using either given point. I'll use (-2,-1)
y = -3x + b
-1 = -3(-2) + b
b = -7
See attachment.
---
y = -3x-7
An angle x is chosen at random from the interval 0^0 < x < 90^0 Let p be the probability that the numbers sin^2 x, cos^2 x and sin x cos x are not the lengths of the sides of a triangle. Given that p = d/n where d is the number of degrees in arctan m and m and n are positive integers with m + n < 1000 find m + n.
Answer:
i don get it
Step-by-step explanation:
i stil don get it
Answer: 92
Step-by-step explanation:
Observe that the probability is symmetric around \(45^{\circ}\).
If \(0^{\circ} < x < 45^{\circ}\), then \(\cos^2 x > \cos x > \sin x\). By the triangle inequality, it follows that \(\cos^2 x > \sin^2 x+\sin x \cos x\).
We can now rearrange as follows:
\(\cos^2 x > \sin^2 x+\sin x \cos x\\\\\cos^2 x -\sin^2 x > \sin x \cos x\\\\\cos 2x > \frac{1}{2}\sin 2x\)
Since \(\cos 2x\) and \(\sin 2x\) are both positive for the chosen interval,
\(2 > \tan x \implies x < \frac{1}{2}\arctan 2\).
Therefore, the probability is \(\frac{\frac{1}{2} \arctan 2}{45}=\frac{\arctan 2}{90}\).
This means, \(m=2, n=90 \implies m+n=92\).
what does FSS stand for in math
Answer:
frequency-selective surface (FSS)
Three segments (a, b, and c) of trump enterprises have net sales of $300,000, $150,000, and $50,000, respectively. a decision is made to allocate the pool of $25,000 of administrative overhead expenses of the home office to the segments, using net sales as the basis for allocation.
Three segments a, b, and c using net sales as the basis for allocation is = $475,000.
Based on the given conditions,
Three segments are a , b , c
The segment a of trump enterprises have net sales = $300,000
The segment b of trump enterprises have net sales = $150,000
The segment c of trump enterprises have net sales = $50,000
a net sales + b net sales + c net sales = $300,000 + $150,000 + $50,000
= $500,000
If the unit is eliminated, then the a net sales and b net sales will be gone, but the c net sales will be allocated to other business units.
So instead of losing $500,000,
A decision is made to allocate the pool = $25,000
The company's net sales as the basis for allocation by $500,000 - $25,000 = $475,000
Therefore,
Three segments a, b, and c using net sales as the basis for allocation is =
$475,000.
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find the z∗ values based on a standard normal distribution for each of the following. (a) an 80onfidence interval for a proportion. round your answer to two decimal places.
The z∗ values based on a standard normal distribution for an 80% confidence interval for a proportion is ± 1.28 (rounded to two decimal places).
Given, we are to find the z∗ values based on a standard normal distribution for each of the following. (a) an 80 % confidence interval for a proportion. The formula to calculate the z∗ values based on a standard normal distribution is:z = ± z∗, where z∗ is the critical value from the standard normal distribution table for a given level of confidence.To find the z∗ values for an 80% confidence interval for a proportion: First, we need to find the z-value that corresponds to 80% of the area under the curve. This can be found using a standard normal distribution table. The z-value that corresponds to 80% confidence interval for a proportion is:z = 1.28
Therefore, the z∗ values based on a standard normal distribution for an 80% confidence interval for a proportion is ± 1.28 (rounded to two decimal places).
Answer: The z∗ values based on a standard normal distribution for an 80% confidence interval for a proportion is ± 1.28 (rounded to two decimal places).
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Please and don’t answer just for the points, it’s rude
Answer:Coordenadas
Step-by-step explanation:
Help asap pls !!!!!!!!!!!
Answer:
A. 7200\(cm^{2}\)
B. (i) 225\(cm^{2}\) (ii) 32 tiles are needed
Step-by-step explanation:
Evaluate 3 x 6 - 12 + 6.
3 x 6 - 12 / 6
Answer:
16
Step-by-step explanation:
Pemdas is the order of operations
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Answer:
16
Step-by-step explanation:
3 x 6 - 12 / 6.
18 - 2
16
he accompanying histogram shows the life expectancies at birth for 190 countries as collected by an international health agency.
a) Which would you expect to be larger: the median or the mean? Explain briefly.
b) Which would you report: the median or the mean? Explain briefly.
a) The median would be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean.
b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers.
a) The median is expected to be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean. The mean is calculated by adding all the values together and dividing by the number of values, and if there are any values that are much lower or higher than the rest, this will affect the mean significantly. The median, however, is the midpoint of the values, so outliers have less of an influence on it.
b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers. The median is the midpoint of the values, which means that if there are any values that are much lower or higher than the rest, it will not affect the median as much as it does the mean. This makes the median more accurate in representing the life expectancy of countries, as it is not skewed by outliers. Furthermore, the median is generally more reliable when dealing with skewed distributions, which is often the case with life expectancy data.
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Please help factor this expression completely, then place the factors in the proper location on the grid.
1/8 x^3-1/27 y^3
will mark brainly
Using cubes formula the factored expression is given as:
1/8x^3 - 1/27y^3 = (1/2x - 1/3y)(1/4x^2 + 1/6xy + 1/9y^2)
To factor the expression \(1/8x^3 - 1/27y^3\), we can utilize the difference of cubes formula, which states that the difference of two cubes can be factored as the product of their binomial factors.
In our given expression, we have\((1/8x^3 - 1/27y^3).\) We can identify\(a^3 as (1/2x)^3 and b^3 as (1/3y)^3.\)
Applying the difference of cubes formula, we get:
\((1/8x^3 - 1/27y^3) = (1/2x - 1/3y)((1/2x)^2 + (1/2x)(1/3y) + (1/3y)^2)\)
Simplifying the expression within the second set of parentheses, we have:
\((1/8x^3 - 1/27y^3) = (1/2x - 1/3y)(1/4x^2 + 1/6xy + 1/9y^2)\)
Therefore, the factored form of the expression 1/8x^3 - 1/27y^3 is given by (1/2x - 1/3y)(1/4x^2 + 1/6xy + 1/9y^2). This represents the product of the binomial factors resulting from the application of the difference of cubes formula.
To factor the expression 1/8x^3 - 1/27y^3, we can use the difference of cubes formula, which states that:
\(a^3 - b^3 = (a - b)(a^2 + ab + b^2)\)
Applying this formula, we get:
1/8x^3 - 1/27y^3 = (1/2x - 1/3y)(1/4x^2 + 1/6xy + 1/9y^2)
Therefore, the expression is completely factored as:
\(1/8x^3 - 1/27y^3 = (1/2x - 1/3y)(1/4x^2 + 1/6xy + 1/9y^2)\)
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A parachutist bails out and freely falls 67 m. Then the parachute opens, and thereafter she decelerates at 2.4 m/s
2
. She reaches the ground with a speed of 3.2 m/s. (a) How long is the parachutist in the air? (b) At what height does the fall begin? (a) Number Units (b) Number Units
The parachutist is in the air for approximately 16.66 seconds. The fall begins at a height of 84.86 meters.
To calculate the time the parachutist is in the air, we need to consider the two phases of the fall: the free fall and the descent with the parachute. In the free fall phase, the parachutist falls 67 meters. We can use the formula for free fall distance, which is given by d = 1/2 * g * t^2, where d is the distance, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time. Rearranging the formula, we can solve for time as t = √(2d/g). Substituting the values, we get t = √(2 * 67 / 9.8) ≈ 3.27 seconds.
In the second phase, after the parachute opens, the parachutist decelerates at a rate of 2.4 m/s^2 until reaching a final speed of 3.2 m/s. We can use the formula for deceleration to find the time it takes to reach this final speed: v = u + at, where v is the final speed, u is the initial speed (0 m/s), a is the acceleration, and t is the time. Rearranging the formula, we have t = (v - u) / a. Substituting the values, we get t = (3.2 - 0) / 2.4 ≈ 1.33 seconds.
Adding the times from both phases, we get the total time in the air: 3.27 + 1.33 ≈ 4.60 seconds. However, this only accounts for the time in the second phase. To find the total time, we add the time from the first phase, giving us 3.27 + 4.60 ≈ 7.87 seconds.
To determine the height at which the fall begins, we subtract the distance covered during the free fall phase from the total distance. The total distance is given by d = 1/2 * g * t^2, where d is the distance, g is the acceleration due to gravity, and t is the total time in the air. Rearranging the formula, we can solve for height as h = d - 67. Substituting the values, we get h = 1/2 * 9.8 * (7.87)^2 - 67 ≈ 84.86 meters.
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Jaden is flying a kite with an angle of elevation of 33 degrees. If Jaden lets out 275 feet of string, how high above the ground is the kite flying? Round answers to the nearest tenth place.
Answer:
149.8 feet
Step-by-step explanation:
θ = Angle of elevation = 33°
The length of string Jaden lets out = Hypotenuse = 275 feet.
How high above the ground that the kite is flying = Opposite Side.
We are solving this question using the Trigonometric function of Sine
Sin θ = Opposite Side/Hypotenuse
Sin 33 = Opposite/275 feet
Cross Multiply
Sin 33 × 275 feet = Opposite
Opposite side(Height ) = 149.77573463 feet
Approximately to the nearest tenth = 149.8 feet
Celine surveyed 14 students at her school about their favorite professional sports. Of the students surveyed, 6 said tennis was their favorite sport. What is the experimental probability that the next student Celine talks to will pick tennis?
Answer:
3/7 (simplified)
Step-by-step explanation:
The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.
Micha works at a sporting goods store. He is paid $8.25 per hour plus double time on holidays and makes an average of 8% commission on all golfing equipment sales. This is modeled by the expression 8.25(x) + 8.25(2)(y) + 0.08(z). What is Micha's gross pay if he worked 15 regular hours and 4 holiday hours and had $562.00 in golf equipment sales.
$153.00
$229.75
$234.71
$361.06
Answer:
C
Step-by-step explanation:
took test
An expression is defined as a set of numbers, variables, and mathematical operations. The gross pay of Micha for the given month is $234.71. The correct option is C.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that Micha is paid $8.25 per hour plus double time on holidays and makes an average of 8% commission on all golfing equipment sales, which is modeled by the expression 8.25(x) + 8.25(2)(y) + 0.08(z).
Now, if Micha worked 15 regular hours and 4 holiday hours and had $562.00 in golf equipment sales. Therefore, the value of x, y, and z is,
Regular hours, x = 15
Holiday hours, y = 4
Sales made in dollars, z = 562
Substitute the values in the given expression to get the gross pay of Micha in the given year,
Gross pay = 8.25(x) + 8.25(2)(y) + 0.08(z)
= 8.25(15) + 8.25(2)(4) + 0.08(562)
= $123.75 + $66 + $44.96
= $234.71
Hence, the gross pay of Micha for the given month is $234.71.
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video if 10% of the students in a certain school are left-handed, what is the probability that 2 or fewer students are left-handed in a random sample of 70 students from the school? use excel to find the probability. round your answer to four decimal places.
Using Excel, the probability that 2 or fewer students are left-handed in a random sample of 70 students from a school where 10% of the students are left-handed can be calculated as approximately 0.9999.
To calculate the probability using Excel, we can utilize the binomial distribution function. The binomial distribution is appropriate for situations with a fixed number of independent trials (sampling 70 students) and two possible outcomes (left-handed or not left-handed).
In Excel, the formula to calculate the probability of 2 or fewer left-handed students can be written as "=BINOM.DIST(2, 70, 0.1, TRUE)". Here, "2" represents the number of left-handed students (or fewer) we want to calculate the probability for, "70" is the total number of students in the sample, and "0.1" is the probability of a student being left-handed (10% or 0.10).
Evaluating this formula in Excel yields a probability of approximately 0.9999 when rounded to four decimal places. This implies that there is an extremely high probability (close to 100%) of having 2 or fewer left-handed students in a random sample of 70 students from the school, given that the overall proportion of left-handed students in the school is 10%.
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2/x-2+15/x=2/x-2 what is the LCD
Answer:
im not sure
Step-by-step explanation:
hy
Answer:
what butt to not answer
Step-by-step explanation:
When graphing an inequality, you use an open
dot when graphing which symbols? Check all
that apply.
Answer:
> <
Step-by-step explanation:
when there is no line underneath the symbol(or the equal to symbol) the dot is filled in. but when there isnt one it means the dot isn't filles in.
A greenhouse owner wants to test the effectiveness of a new fertilizer on African violets. She has 60 violet
seedlings that were grown for 8 weeks. She wants to test the new fertilizer on 10 of the plants, and decides to use
a simple random sample to select them. Which of the following statements is true?
She needs to select the 10 biggest plants to test the new fertilizer.
She needs to select the 10 smallest plants to test the new fertilizer.
She needs to number each plant 1-60 and randomly select 10 plants.
She needs to put the plants in 6 groups of 10 and randomly select 1 of the groups.
Answer:
1 - 60
Step-by-step explanation:
She needs to number each plant 1-60 and randomly select 10 plants.
let the random variables and have the joint pmf find the means and , the variances and , the covariance , and the correlation coefficient . are and independent or dependent?
To find the means, variances, covariance, and correlation coefficient of random variables X and Y with a joint PMF:
- Calculate the means: E[X] and E[Y].
- Compute the variances: Var(X) and Var(Y).
- Find the covariance: Cov(X, Y).
- Determine the correlation coefficient: ρ(X, Y).
Based on the covariance, we can determine if X and Y are independent or dependent.
Let the random variables X and Y have a joint probability mass function (PMF). We need to find the means (expected values), variances, covariance, and correlation coefficient of X and Y, and determine whether they are independent or dependent.
The mean of a random variable X is denoted by E[X] or μX, and it is calculated as the sum of all possible values of X weighted by their respective probabilities. Similarly, the variance of X, denoted by Var(X) or σ²X, measures the spread or dispersion of the values of X around its mean.
The covariance between two random variables X and Y, denoted by Cov(X, Y), measures the degree to which they vary together. It is calculated as the sum of the products of the differences of the values of X and its mean, and the differences of the values of Y and its mean, weighted by their joint probabilities.
The correlation coefficient between X and Y, denoted by ρ(X, Y), quantifies the strength and direction of the linear relationship between them. It is calculated by dividing the covariance of X and Y by the product of their standard deviations.
To determine the means and variances, we can use the following formulas:
E[X] = ∑x∑y x * P(X = x, Y = y)
E[Y] = ∑x∑y y * P(X = x, Y = y)
Var(X) = E[X²] - (E[X])²
Var(Y) = E[Y²] - (E[Y])²
To calculate the covariance, we use the formula:
Cov(X, Y) = E[XY] - E[X]E[Y]
Once we have the means and variances, we can calculate the correlation coefficient using the formula:
ρ(X, Y) = Cov(X, Y) / (√Var(X) * √Var(Y))
Based on the calculations of means, variances, covariance, and correlation coefficient, we can determine whether X and Y are independent or dependent. If the covariance is zero (Cov(X, Y) = 0), then X and Y are independent. Otherwise, they are dependent.
In summary, to find the means, variances, covariance, and correlation coefficient of X and Y, we use the formulas mentioned above. Based on the calculated values, we can determine whether X and Y are independent or dependent.
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Calculate the average rate of change of the quadratic function y = -x2 + 4x +2
over the interval 0 to 2.
Answer:
2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
\(\frac{f(b)-f(a)}{b-a}\)
Here [ a, b ] = [ 0, 2 ], thus
f(b) = f(2) = -(2)² + 4)(2) + 2 = - 4 + 8 + 2 = 6
f(a) = f(0) = 2
average rate of change = \(\frac{6-2}{2-0}\) = \(\frac{4}{2}\) = 2
If WY + XZ = 28, what is PZ?
Answer:
its 3.5
Step-by-step explanation:
wy=16 bc wp=8
8+8=16
so 23-16=7
xz=7
7/2=3.5
PLEASE HELP!! RIGHT ANDWER GETS BRAINLIST
Answer:
(2,3)
Step-by-step explanation:
y = x/2 + 2 = 0.5x + 2.
also y = x +1.
so 0.5x + 2 = x + 1.
2 -1 = x - 0.5x
1 = 0.5x
x = 2.
y?
y = x + 1 = 2 + 1 = 3.
so (2, 3) is the coordinate solution
Round 568.896 to two decimals.
Answer:
Here's the answer
JUST correct me if I'm wrong
Step-by-step explanation:
Btw brainliest me plss