Answer:
[tex]x=-4[/tex]
[tex]y=3[/tex]
[tex]z=-5[/tex]
Step-by-step explanation:
Given:
[tex]x+y+z=-6[/tex]
[tex]x-6y-7z=-29[/tex]
[tex]-7y-5z=4[/tex]
Solve for [tex]x[/tex] in the 1st equation:
[tex]x+y+z=-6[/tex]
[tex]x+y=-z-6[/tex]
[tex]x=-y-z-6[/tex]
Substitute the value of [tex]x[/tex] into the 2nd equation and solve for [tex]z[/tex]:
[tex]x-6y-7z=-29[/tex]
[tex](-y-z-6)-6y-7=-29[/tex]
[tex]-7y-z-13=-29[/tex]
[tex]-7y-z=-16[/tex]
[tex]-z=-16+7y[/tex]
[tex]z=16-7y[/tex]
Substitute the value of [tex]z[/tex] into the 3rd equation and solve for [tex]y[/tex]:
[tex]-7y-5z=4[/tex]
[tex]-7y-5(16-7y)=4[/tex]
[tex]-7y-80+35y=4[/tex]
[tex]28y-80=4[/tex]
[tex]28y=84[/tex]
[tex]y=3[/tex]
Plug [tex]y=3[/tex] into the solved expression for [tex]z[/tex] and evaluate to solve for [tex]z[/tex]:
[tex]z=16-7(3)[/tex]
[tex]z=16-21[/tex]
[tex]z=-5[/tex]
Plug [tex]z=-5[/tex] into the solved expression for [tex]x[/tex] and evaluate to solve for [tex]x[/tex]:
[tex]x=-(3)-(-5)-6[/tex]
[tex]x=-3+5-6[/tex]
[tex]x=2-6[/tex]
[tex]x=-4[/tex]
Therefore:
[tex]x=-4[/tex]
[tex]y=3[/tex]
[tex]z=-5[/tex]
Help (PLATO)
its Algebra
Answer: The answer is D
Step-by-step explanation:
You add z to the other side then it will cancel out which then it would be (w+z) and then you times it by 2 by both sides which would be 2(w+z) and then you would subtract x from both sides which will be 2(w+z)-x
Hopefully this helps
Standard Error from a Formula and a Bootstrap Distribution Sample A has a count of 30 successes with and Sample B has a count of 50 successes with . Use StatKey or other technology to generate a bootstrap distribution of sample differences in proportions and find the standard error for that distribution. Compare the result to the value obtained using the formula for the standard error of a difference in proportions from this section.
Answer:
Using a formula, the standard error is: 0.052
Using bootstrap, the standard error is: 0.050
Comparison:
The calculated standard error using the formula is greater than the standard error using bootstrap
Step-by-step explanation:
Given
Sample A Sample B
[tex]x_A = 30[/tex] [tex]x_B = 50[/tex]
[tex]n_A = 100[/tex] [tex]n_B =250[/tex]
Solving (a): Standard error using formula
First, calculate the proportion of A
[tex]p_A = \frac{x_A}{n_A}[/tex]
[tex]p_A = \frac{30}{100}[/tex]
[tex]p_A = 0.30[/tex]
The proportion of B
[tex]p_B = \frac{x_B}{n_B}[/tex]
[tex]p_B = \frac{50}{250}[/tex]
[tex]p_B = 0.20[/tex]
The standard error is:
[tex]SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.30 * (1 - 0.30)}{100} + \frac{0.20* (1 - 0.20)}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.30 * 0.70}{100} + \frac{0.20* 0.80}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.21}{100} + \frac{0.16}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{0.0021+ 0.00064}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{0.00274}[/tex]
[tex]SE_{p_A-p_B} = 0.052[/tex]
Solving (a): Standard error using bootstrapping.
Following the below steps.
Open StatkeyUnder Randomization Hypothesis Tests, select Test for Difference in ProportionsClick on Edit data, enter the appropriate data Click on ok to generate samplesClick on Generate 1000 samples ---- see attachment for the generated dataFrom the randomization sample, we have:
Sample A Sample B
[tex]x_A = 23[/tex] [tex]x_B = 57[/tex]
[tex]n_A = 100[/tex] [tex]n_B =250[/tex]
[tex]p_A = 0.230[/tex] [tex]p_A = 0.228[/tex]
So, we have:
[tex]SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.23 * (1 - 0.23)}{100} + \frac{0.228* (1 - 0.228)}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.1771}{100} + \frac{0.176016}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{0.001771 + 0.000704064}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{0.002475064}[/tex]
[tex]SE_{p_A-p_B} = 0.050[/tex]
Identify the parent function of g(x)= x^2-2
Answer:
Identify the parent function
g(x)=−x+2−−−−−−√
1-Identify the parent function
2-Identify the transformations being applied, in appropriate order
3-sketch a graph of the transformed function
my work for first one
from parent function
Step-by-step explanation:
Answer:
g(x) =x^2 is the answer
Step-by-step explanation:
I hope this will help you
Please help! Thank you!
Answer:
D: (2, -3)
Step-by-step explanation:
We have;
y = 3x - 9 - - - (1)
y = -2x + 1 - - - (2)
By substitution method, from eq 1, we see that: y = 3x - 9
Thus,let's put 3x - 9 for y in eq 2;
3x - 9 = -2x + 1
Rearranging to get;
3x + 2x = 9 + 1
5x = 10
x = 10/5
x = 2
Thus;
y = 3(2) - 9
y = 6 - 9
y = -3
Thus,the solution (x, y) = (2, - 3)
Alex was trying to determine how much money he owed the bank. Since his checking account has a balance of -155 dollars, he thinks that he can find the absolute value of -155 to determine that he owes the bank 155 dollars. Is Alex correct?
Answer:
Alex is correct.
Step-by-step explanation:
In order for Alex to get to $0, meaning he owes the bank nothing, he has to add 155 dollars to negative 155 dollars, because this means he has no debt left. The absolute value of -155 is 155 and if Alex pays the 155 dollars, he will not have to pay anything else to the bank.
ayuda ÷18=40 que número falta
Answer:
720
Step-by-step explanation:
x÷18=40
x=18•40
x=720
What is the solution to -2(8x - 4) < 2x + 5?
Answer:
See image below:)
Step-by-step explanation:
What is the perimeter of the trapezoid? In unit
Answer:
20 units
Step-by-step explanation:
the perimeter = 7+4+4+5 = 20 units
Consider the following stocks: • Stock A is expected to pay a dividend of £4 forever; • Stock B is expected to pay a dividend of £2 next year, £2.50 in year 2, with dividend growth expected to be 3% per annum thereafter. If the required return on similar equities is 9%, calculate the price of each stock.
Answer:
£44.44
£40.06
Step-by-step explanation:
Stock A
Price of a perpetual dividend payment = dividend / required return
4 / 0.09 = 44.44
Stock B
price is equal to the present value of the dividend
Value in the second stage of constant growth =( 2.5 x 1.03) / (0.09 - 0.03) = 42.92
Cash flow in year 1 = 2
cash flow in year 2 = 2.5 + 42.92
I = 9%
PV = 40.06
To find the PV using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
Help Help Help it's in khan academy
Answer:
Step 1 is wrong
Step-by-step explanation:
[tex] \frac{1}{4} r+ 2 = 10[/tex]
[tex] \frac{r}{4} + 2 = 10[/tex]
[tex] \frac{r}{4} = 10 - 2[/tex]
[tex] \frac{r}{4} = 8[/tex]
[tex]r = 8 \times 2[/tex]
[tex]r = 32[/tex]
Hope it is helpful...The graph makes it appear that there are how many times as many students per teacher at North HS as there are at
West HS?
Student Teacher Ratios at Area High Schools
North RS
East HS
13
West HS
12
14
18
22
a.
b.
10
2 times
3 times
4 times
5 times
C.
d.
Answer:
5 times
Step-by-step explanation:
Using visual inspection, the bar of North HS is 5 times longer Than the bar of West HS.
The gtids are of equal size, West HS occupies one portion of the grid, while North HS occupies 5 portions of the grid
5 portions / 1 portion = 5
Hence, North HS according to the graph is 5 times West HS
Which of the following is the point-slope form of the equation with slope 3 that goes through the point (4,2)?
Answer:
y–y1 =m (X–X1)
y–2=3(x–4)
y=3x–10
What is the slope of the line that contains the points (-1,-1) and (3, 15)?
O A.
1
4
B. 4
O C. -
4
D. -4
Answer:
its b
Step-by-step explanation:
Need the answer to number 4
Answer:
[tex]\sqrt{85}[/tex] /2
Step-by-step explanation:
lets find hypotenuse( longest side) first
let other two samller sides be a and b and hypotenuse be c
pythagorsd theorem
a^2 + b^2 =c^2
9^2 + 2^2 =c^2
81 + 4=c^2
85 =c^2
[tex]\sqrt{85}[/tex] =c
take theta as reference angle
cosec theta=hypotenuse/opposite
=[tex]\sqrt{85}[/tex] / 2
Answer:
Answer is B. CSC ∅ = √85 /2
Step-by-step explanation:
CSC = 1 / Sin ∅
So first find Sin ∅ = 2 / √ 85 and then substitute in the formula
And oh, in case you're wondering, √ 85 is the hypotenuse side which you find like this:
√ 9² + 2²
√ 81 + 4
√ 85
Five schools are going to send their baseball teams to a tournament, in which each team must play each other team exactly once. How many games are required
Answer:
20 games are required to be play
PLS HELP ASAP!!! WILL MARK AS BRAINLIEST
Answer: A
Step-by-step explanation:
A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?
Answer:
Step-by-step explanation:
um yes..!
Which inequality has -12 in its solution set?
A
B
с
D
X+6 <-8
X+42-6
X-3-10
x+554
СА
С В
oc
D
Answer:
the answer is a. x+6<-8 I hope I'm correct
Can someone help ASAP
A jar contains 6 red marbles numbered 1 to 6 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability that the marble is blue or even-numbered.
Answer:
11/14
Step-by-step explanation:
(P of blue marble) + (P of even numbered) - (P blue and even) =
8/14 + 7/14 - 4/14 = 11/14
Plz help me solve this algebra problem
Answer:
Step-by-step explanation:
A cone has a volume of 60 cubic feet. If the radius is 2 feet,'what is the height of the cone?
10ft
15ft
45ft
90ft
Someone please helppp
What is the measure of angle x? Round to the
nearest tenth. .
28
21
xº
use quadratic formula to solve these equation (a).3x²+6x+2=0
Answer:
Step-by-step explanation:
3x² + 6x + 2 = 0
Quadratic Formula is:
x = -b ± √b²- 4ac/2a
So...
Δ = b² - 4ac = 6² - 4.3.2 = 12
x = -6 ± √Δ/2.3 = -6 ± √12/6
x' = -6 + √12/6 ≈ -0,4227
x'' = -6 - √12/6 ≈ -1,5774
S = { -0,4227 , -1,5774 }
I think this is it.GOOD STUDIES!
How many once’s are equal to 7 pounds
In the figure below, which term best describes point R?
A. Orthocenter
B. Centroid
C. Incenter
D. Circumcenter
Orthocenter is the best term to describes point R in the triangle UVW.
What is orthocenter?" Orthocenter is defined as intersecting point of the altitudes of the sides of the acute angle triangle."
According to the given figure,
In triangle UVW,
Ray VR perpendicular to UW
Ray UR perpendicular to VW
Ray WR perpendicular to UV
Altitudes of side ( UV , VW, and WU) of triangle UVW intersect at
point R.
As per the definition of orthocenter , point R represents orthocenter.
Hence, orthocenter is the best term to describes point R in the triangle UVW.
Learn more about orthocenter here
https://brainly.com/question/19763099
#SPJ2
Hermione thinks she has discovered a protection spell that will reduce the pain of the Cruciatus curse. She believes that a sample of people protected by her spell will rate their pain as less severe than the average person who does not have her protection spell. Her null hypothesis for this study would
Answer:
There will be no difference in pain ratings from people protected by her spell and people who aren't protected by her spell.
Step-by-step explanation:
The claim in this scenario is the alternative hypothesis, which is what we wish to test ; the alternative hypothesis is thus ; people who are protected by spell will rate their pain as a result of cruciatus curse as less severe than the average person who does not use her protection spell ;
As we know, the null hypothesis is the opposite of the alternative hypothesis and the initial truth, which is ;
The average pain felt by both the user of the pain protections spell and those who do not feel the same amount of pain.
work out 8^1/3
^1/3 = power
Answer:
8/9 (decimal: 0.888889)
Answer:
[tex]2[/tex]
Two is the answer.
Step-by-step explanation:
simple explanation is; when you go through your two times table.. in order to arrive at eight, (8), you have to mention or go through 3 numbers
Or .... cube root of 8 is two..
PLEASE MARK ME BRAINIEST
8) Find the midpoint of the equation y = 4x + 6 between the x-intercepts and the y-intercepts.
9514 1404 393
Answer:
(-3/4, 3)
Step-by-step explanation:
I find it easier to determine the intercepts when the equation is in standard form:
4x -y = -6
The x-intercept is found where y=0:
4x = -6 ⇒ x = -6/4 = -3/2
The y-intercept is found where x=0:
-y = -6 ⇒ y = 6
Then the midpoint is ...
M = ((-3/2, 0) +(0, 6))/2 = (-3/4, 3)
find the missing angles
Answer:
b=109 degree
Step-by-step explanation:
26 + 45 + b=180 degree (being sum of interior angles of a triangle)
71 + b = 180
b=180-71
b=109 degree
Step-by-step explanation:
109°
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