Answer:
[tex]x=1,\:\\z=2,\:\\y=-1[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}2x+2y+z=2\\ -x+3y+z=-2\\ 3x+2z=7\end{bmatrix}\\\\\mathrm{Multiply\:}-x+3y+z=-2\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x+6y+2z=-4\\\\\begin{bmatrix}2x+2y+z=2\\ -2x+6y+2z=-4\\ 3x+2z=7\end{bmatrix}\\\\-2x+6y+2z=-4\\+\\\underline{2x+2y+z=2}\\8y+3z=-2\\\\\begin{bmatrix}2x+2y+z=2\\ 8y+3z=-2\\ 3x+2z=7\end{bmatrix}\\\\\mathrm{Multiply\:}2x+2y+z=2\mathrm{\:by\:}3\:\mathrm{:}\:\\\quad \:6x+6y+3z=6\\\\\mathrm{Multiply\:}3x+2z=7\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+4z=14\\\\[/tex]
[tex]\begin{bmatrix}6x+6y+3z=6\\ 8y+3z=-2\\ 6x+4z=14\end{bmatrix}\\\\6x+4z=14\\-\\\underline{6x+6y+3z=6}\\-6y+z=8\\\\\begin{bmatrix}6x+6y+3z=6\\ 8y+3z=-2\\ -6y+z=8\end{bmatrix}\\\\\mathrm{Multiply\:}8y+3z=-2\mathrm{\:by\:}3\:\mathrm{:}\:\\\quad \:24y+9z=-6\\\\\mathrm{Multiply\:}-6y+z=8\mathrm{\:by\:}4\:\mathrm{:}\:\\\quad \:4z-24y=32\\\\\begin{bmatrix}6x+6y+3z=6\\ 24y+9z=-6\\ -24y+4z=32\end{bmatrix}\\\\-24y+4z=32\\+\\\underline{24y+9z=-6}\\13z=26[/tex]
[tex]\begin{bmatrix}6x+6y+3z=6\\ 24y+9z=-6\\ 13z=26\end{bmatrix}\\\\Solve\:13z=26\:for\:z\: : , z= 2\\\\\mathrm{For\:}24y+9z=-6\mathrm{\:plug\:in\:}z=2\\\\Solve\:24y+9\times\:2=-6\:for\:y\:,y=-1\\\\\mathrm{For\:}6x+6y+3z=6\mathrm{\:plug\:in\:}z=2,\:y=-1\\\\Solve\:6x+6\left(-1\right)+3\times\:2=6\:for\:x\:,x=1\\\\x=1,\:z=2,\:y=-1[/tex]
if a distibution has a mean of 50 and a standard devation of 25, how many standard deviation is 0 from the mean
Answer:
2
Step-by-step explanation:
Here, we have a mean of 50 and a standard deviation of 25, we now need to find out in terms of standard deviation how 0 is far from 50.
Firstly, we subtract 0 from 50
That gives 50. Now, we need to divide this difference by the standard deviation
That will be 50/25 and that makes it 2
So 0 is two deviations away from 50
Given f(t) = 2x ^ 2 - 3x , what is the value of f(6) ?
Answer: 54
Step-by-step explanation:
PLEASE help. Will give brainliest.
Answer:
y=5
x=10 and
z=2
Step-by-step explanation:
since they are equivalance then,
for
triangle ABC and triangle DFE
AB=DF,BC=FE and AC= DE
So, AB=DF
8y-20= 4y
or, y=5
Then, BC= FE
2x+5=x+15
or, x=10
and
AC=DE
3z+9=10z-5
or, z= 2
hope u got ut.
The triangles are parallel thus their sides are equal to each other peer to peer.
So ;
[tex]x + 15 = 2x + 5[/tex]
Subtract sides -5
[tex]x + 15 - 5 = 2x + 5 - 5[/tex]
[tex]x + 10 = 2x[/tex]
Subtract sides -x
[tex]x - x + 10 = 2x - x[/tex]
[tex]x = 10[/tex]
_________________________________
[tex]4y = 8y - 20[/tex]
Subtract sides -8y
[tex]4y - 8y = 8y - 8y - 20[/tex]
[tex] - 4y = - 20[/tex]
Negatives simplifies
[tex]4y = 20[/tex]
Divided sides by 4
[tex] \frac{4}{4}y = \frac{20}{4} \\ [/tex]
[tex]y = 5[/tex]
_________________________________
[tex]10z - 5 = 3z + 9[/tex]
Plus sides 5
[tex]10z - 5 + 5 = 3z + 9 + 5[/tex]
[tex]10z = 3z + 14[/tex]
Subtract sides -3z
[tex]10z - 3z = 3z - 3z + 14[/tex]
[tex]7z = 14[/tex]
Divided sides by 7
[tex] \frac{7}{7}z = \frac{14}{7} \\ [/tex]
[tex]z = 2[/tex]
_________________________________
And we're done....♥️♥️♥️♥️♥️
Select the expression that shows the value of three hundred and eighty two thousandths
Answer:
Step-by-step explanation:
To write the value of three hundred and eighty two thousandths in words, we can follow the steps below:
Split the expression based on the place values
The statement is expressed as:
[tex]\frac{382}{1000}[/tex] = 0.382
three hundred thousandth = 0.300 (thousandth)
eighty thousandth= 0.080
two thousandth = 0.002
Add the values gotten
= 0.300 + 0.080 + 0.002
= (3*10⁻¹) + (8*10⁻²) + (2*10⁻³)
= 0.382
ok so if someone needs 2 1/4 cups of water for 1 cup of rice then if they use 1/3 cup of rice how much water would they need
You would need 3/4 cups of water.
estimated answer for 3 3/7 x 1 3/4 simplify and type a whole number
Answer:
6
Step-by-step explanation:
I solved the equation, but you can't simplify 6.
Find the value of a in the relation Cov(2X,−3Y+2)=a⋅Cov(X,Y) .
a=
c) Suppose that X , Y , and Z are independent, with a common variance of 5 . Then,
Cov(2X+Y,3X−4Z)=
Answer:
a = -6
Cov (2X+Y, 3X-4Z) = 30
Step-by-step explanation:
Key points:
Cov (aX, bY) = a·b·Cov (X, Y)Cov (X, X) = V (X) Cov (X, a) = 0If X and Y are independent then Cov (X, Y) = 0.Cov(2X, -3Y+2) = a⋅Cov (X,Y)
Cov (2X, -3Y) + Cov (2X, 2) = a⋅Cov (X,Y)
(2)⋅(-3)⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
-6⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
⇒ a = -6.
(c)
Suppose that X, Y, and Z are independent, with a common variance of 5, i.e. V (X) = V (Y) = V (Z) = 5
Cov (2X+Y, 3X-4Z) = Cov (2X, 3X) + Cov (2X, -4Z) + Cov (Y, 3X) + Cov (Y, -4Z)
= 6⋅Cov (X, X) - 8⋅Cov (X, Z) + 3⋅Cov (Y, X) - 4⋅Cov (Y, Z)
= (6 × 5) - 0 + 0 - 0
= 30
Thus, the value of Cov (2X+Y, 3X-4Z) is 30.
The value of a = -6. And, Cov (2X+Y, 3X-4Z) = 30.
Calculation of the value of a and cov:Since
Cov (aX, bY) = a·b·Cov (X, Y)
Cov (X, X) = V (X)
Cov (X, a) = 0
In the case when X and Y are independent so Cov (X, Y) = 0.
Now
Cov(2X, -3Y+2) = a⋅Cov (X,Y)
Cov (2X, -3Y) + Cov (2X, 2) = a⋅Cov (X,Y)
(2)⋅(-3)⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
-6⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
a = -6.
(c)
here
Suppose that X, Y, and Z are independent, with a common variance of 5, i.e.
V (X) = V (Y) = V (Z) = 5
So,
Cov (2X+Y, 3X-4Z) = Cov (2X, 3X) + Cov (2X, -4Z) + Cov (Y, 3X) + Cov (Y, -4Z)
= 6⋅Cov (X, X) - 8⋅Cov (X, Z) + 3⋅Cov (Y, X) - 4⋅Cov (Y, Z)
= (6 × 5) - 0 + 0 - 0
= 30
Thus, the value of Cov (2X+Y, 3X-4Z) is 30.
Learn more about variance here: https://brainly.com/question/24138432
Two angles are complementary. One angle measures 22 degree more than the other angle. Find the measure of the larger angle
Answer:
[tex]\theta = 56[/tex]
Step-by-step explanation:
Represent the angles with [tex]\theta[/tex] and [tex]\alpha[/tex]
Such that:
[tex]\theta = 22 + \alpha[/tex]
Since both angles are complementary, we have:
[tex]\theta + \alpha = 90[/tex]
Substitute [tex]\theta = 22 + \alpha[/tex]
[tex]22 + \alpha + \alpha = 90[/tex]
[tex]22 + 2\alpha = 90[/tex]
Collect Like Terms
[tex]2\alpha = 90 - 22[/tex]
[tex]2\alpha = 68[/tex]
[tex]\alpha = 68/2[/tex]
[tex]\alpha = 34[/tex]
Recall that:
[tex]\theta = 22 + \alpha[/tex]
[tex]\theta = 22 + 34[/tex]
[tex]\theta = 56[/tex]
Hence:
The larger angle is 56
consider the Following equation.
[tex]4x + 3y = 7[/tex]
Determine the missing coordinate in the orderd pair (-4,?) so that it will satisfy the given equation.
Answer: (-4,______)
Answer:
23/3
Step-by-step explanation:
x=-4
plug x into equation
4(-4)+3y = 7
-16+3y = 7
3y=23
y=23/3
Felipe has a flower bed with area 25/4 ft.squared. He expands the flower bed to have area 75/4 ft.squared. How many square ft of space does the larger flower bed have for every square foot of the smaller flower bed?
Answer: 3
Step-by-step explanation:
Given data:
Area of smaller flower bed = 25/4
Area of bigger flower bed = 75/4.
Solution:
75/4 = 25/4
Divide both sides 5
15/4 = 5/4
= 15/4 / 5/4
= 15/4 / 4/5
= 3
Answer:
The larger flower bed has 3 square ft of space for every square foot of the smaller flower bed
Step-by-step explanation:
In other words in this question, we are asked to calculate how many of the smaller flower bed is contained in the larger one.
Mathematically, that would be 25/4 squares ft divided by 75/4 squared feet
Thus will be 75/4 divided by 25/4
Hence 75/4 * 4/25 = 3
Let S be the statement: The product of any irrational number and any nonzero rational number is irrational. (a) Write a negation for S. (b) Prove S by contradiction.
Answer:
Negation: The product of any irrational number and any nonzero rational number is not irrational.
Step-by-step explanation:
(a)
Given statement: The product of any irrational number and any nonzero rational number is irrational.
Negation: The product of any irrational number and any nonzero rational number is not irrational.
(b)
Let if possible the product of any irrational number and any nonzero rational number is not irrational that is rational.
Let [tex]x[/tex] be an irrational number and [tex]y\neq 0[/tex] be a rational number.
[tex]xy=z[/tex] where [tex]z[/tex] is rational.
So,
[tex]xy=z\\x=\frac{z}{y}[/tex]
As quotient of two rational numbers is also rational, [tex]x[/tex] must be rational which is a contradiction to the fact that [tex]x[/tex] is irrational.
Can anyone that is good at math please help me with all my math questions. I will Mark Brainliest to whomever can help. ( Just click on my name and then hit question button and you should see them all working on them and can't figure them out.
Answer:
i will
Step-by-step explanation:
what is the Quotient: 3/4divided1/4
Answer:
3
Step-by-step explanation:
A sample of n = 16 is selected from a normal population with µ = 60 and σ = 20. For each question, provide the z-score and probability/proportion for your answer. A) What is the probability that the sample mean will be greater than 50? B) What is the probability that the sample mean will be less than 56? C) What is the probability that the sample mean will be within 5 points of the population mean? That is, what is p (55 < X < 65)?
Answer:
im just here for the points sorry
Step-by-step explanation:
help me answer this also please simply also no decimals and this is Dividing Radicals.
Answer:
[tex]\displaystyle \frac{\sqrt{2}}{x^2}[/tex]
Step-by-step explanation:
Dividing Radicals
Given the division of radicals:
[tex]\displaystyle \frac{\sqrt{Z}}{\sqrt{Y}}[/tex]
We can join both arguments of the radicals into one simple radical as follows:
[tex]\displaystyle \sqrt{\frac{Z}{Y}}[/tex]
We are given the expression:
[tex]\displaystyle 2\frac{\sqrt{24}}{\sqrt{48x^4}}[/tex]
Joining them in a single radical:
[tex]\displaystyle 2\frac{\sqrt{24}}{\sqrt{48x^4}}=2\sqrt{\frac{24}{48x^4}}[/tex]
Simplifying the fraction:
[tex]\displaystyle 2\sqrt{\frac{24}{48x^4}}=2\sqrt{\frac{1}{2x^4}}[/tex]
Multiplying by 2 in numerator and denominator:
[tex]\displaystyle 2\sqrt{\frac{1}{2x^4}}=2\sqrt{\frac{2}{4x^4}}[/tex]
The denominator is a perfect square:
[tex]\displaystyle 2\sqrt{\frac{2}{4x^4}}=2\frac{\sqrt{2}}{2x^2}[/tex]
Simplifying by 2:
[tex]\boxed{\displaystyle \frac{\sqrt{2}}{x^2}}[/tex]
How do you write expanded from for 0.68 with decimals
Answer:
0.6 + 0.08
Step-by-step explanation:
Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?
1, –0.25, –1.5, –2.75, –4, . . .
1, 2.25, 3.5, 4.75, 6, . . .
4, 2.75, 1.5, 0.25, –1, . . .
4, 5.25, 6.5, 7.75, 8, . . .
Answer:
4, 2.75, 1.5, 0.25, –1, . . .
Step-by-step explanation:
edge2020
Please help with this question I really need help
Answer/Step-by-step explanation:
Part A: In the table given above, every input value has exactly one output value. No input value gives two different output value. Therefore, the data in the table represents a function.
Part B: in the table given, when x = 4, y = 9. That is, f(4) = 9.
Given the relation f(x) = 2x - 8, to find what value it would give us, when x = 4, substitute x = 4 into the relation.
f(4) = 2(4) - 8 = 8 - 8
f(4) = 0
Therefore, the relation in the table has a greater value when x = 4.
Part C: using, f(x) = 2x - 8, when f(x) = 34, value of x would be calculated as shown below:
34 = 2x - 8
Add 8 to both sides
34 + 8 = 2x
42 = 2x
Divide both sides by 2
42/2 = x
21 = x
x = 21
A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X and Y represent the lengths of two different pipes produced by the process. h)What is the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X)
The probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.
Here,
Since the length of the pipes follows a uniform distribution on the interval [10 feet, 10.57 feet], the probability density function (PDF) for each pipe is:
f(x) = 1 / (10.57 - 10) = 1 / 0.57 ≈ 1.7544 for 10 ≤ x ≤ 10.57
Since the lengths of the pipes are independent, the joint probability density function (PDF) of X and Y is the product of their individual PDFs:
f(x, y) = f(x) * f(y) = 1.7544 * 1.7544 = 3.0805 for 10 ≤ x ≤ 10.57 and 10 ≤ y ≤ 10.57
Now, we want to find the probability that the second pipe (Y) is more than 0.11 feet longer than the first pipe (X).
Mathematically, we want to find P(Y > X + 0.11).
Let's set up the integral to calculate this probability:
P(Y > X + 0.11) = ∬[10 ≤ x ≤ 10.57] [y > x + 0.11] f(x, y) dx dy
We integrate with respect to x first and then with respect to y:
P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] ∫[10 ≤ x ≤ y - 0.11] f(x, y) dx dy
P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [∫[10 ≤ x ≤ y - 0.11] 3.0805 dx] dy
P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (x)] from x = 10 to x = y - 0.11 dy
P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (y - (10 - 0.11))] dy
P(Y > X + 0.11) = 3.0805 * ∫[10 ≤ y ≤ 10.57] (y - 9.89) dy
P(Y > X + 0.11) = 3.0805 * [(y² / 2) - 9.89y] from y = 10 to y = 10.57
P(Y > X + 0.11) = 3.0805 * [((10.57)² / 2) - 9.89 * 10.57 - (((10)² / 2) - 9.89 * 10)]
P(Y > X + 0.11) = 3.0805 * [((111.7249 / 2) - 104.9135 - (50 / 2 - 98.9)]
P(Y > X + 0.11) = 3.0805 * [(55.86245 - 104.9135 + 49.9)]
P(Y > X + 0.11) = 3.0805 * [0.84895]
P(Y > X + 0.11) ≈ 2.6092
Therefore, the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.
To learn more on probability click:
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A baker makes 51 loaves of bread in 8 1/2 hours. What is the unit rate for the number of loaves in one hour. I need a answer pleaseee
Answer:
6
Step-by-step explanation:
51 divided by 8.5
What is the difference between –12 and –5?
Answer:
-7
Step-by-step explanation:
(-12)-(-5)
negative and negative make a positive
-12+5
= -7
Answer:
-7
Step-by-step explanation:
These are 2 questions on percentage ❤️
Answer:
Question 19: 45 Question 20: 130
Step-by-step explanation:
Answer:
45 and 130
Step-by-step explanation:
Convert your percentage into decimals first then multiply.
150% is the same as 1.5
40% is the same as 0.4
So you multiply 1.5 times 30 and get 45
multiply 0.4 times 325 and get 130
This is my last question.
Answer:
NOM and POR
(so so sorry if it's wrong, I tried my best to help you but I had to look up an image of a angle like that but i hope you have a wonderful day, sorry again if i am wrong, i hope i help in a way, in i did not, sorry)
What is the value of (4 minus 2) cubed minus 3 times 4?
Negative 20
Negative 4
4
20
Answer:
yes the last person is correct
Step-by-step explanation:
Lisa Has 17 cookie she subtracts 19 and adds 156 then she divides by 4.
Answer:
38.5
Step-by-step explanation:
17-19= -2
-2+156=154
154 divided by 4= 38.5
it should be 17 - 19 + 154 then divided by 4
so 38.5 cookies
I need help please :/
Part (a)
Plug in y = 0 and solve for x. Use the zero product property
y = x(x+3)(x-2)
0 = x(x+3)(x-2)
x(x+3)(x-2) = 0
x = 0 or x+3 = 0 or x-2 = 0 .... zero product property
x = 0 or x = -3 or x = 2
The three roots or zeros are x = 0 or x = -3 or x = 2
================================================
Part (b)
The roots of the graph are: x = -2, x = 1, x = 3. Each root is where the graph crosses or touches the horizontal x axis.
Note how x = 0 is found in part (a), but not found here. This is one example where the graphs don't match. Another would be x = -3 is in part (a), but not here.
So that's why the graph does not match with the function in part (a)
cual es el valor de 7 3/4 + 1 7/8 fraccionado
During the Computer Daze special promotion, a customer purchasing a computer and printer is given a choice of seven free software packages. There are 10 different software packages from which to select. How many different groups of software packages can be selected?
Answer:
120 ways
Step-by-step explanation:
To solve the question above, we use combination formula:
Where ;
nCr = n! / (n-r)! r!
10C7 = 10! / (10 - 7)! 7!
10C7 = 10! / 3! 7!
10C7 = (10 * 9 * 8) / 3 * 2 * 1
10C7 = 720 / 6
= 120 ways
What is m<KNL?
Enter your answer in the box
The measurement of ∠KNL is 102°
First, you must set up an equation to find x.
[tex]5x+2=[3(x+14)[/tex]
Then, you must simplify both sides of the equation.
[tex]5x+2=3x+42[/tex]
Next, subtract 3x on both sides.
[tex]2x+2=42[/tex]
Then, subtract 2 on each side.
[tex]2x=40[/tex]
Next, divide 2 on each side.
[tex]x=20[/tex]
Now that we have the value of x, we can substitute it in for angle KNL.
[tex][3(20+14)][/tex]
[tex][3(34)][/tex]
[tex]102[/tex]
[tex]102[/tex]°
A particular fruit's weights are normally distributed, with a mean of 720 grams and a standard deviation of 38 grams. The heaviest 19% of fruits weigh more than how many grams? Give your answer to the nearest gram.
Answer: The heaviest 19% of fruits weigh more than 753grams.
Step-by-step explanation:
Let X = fruit's weights that are normally distributed.
Given: [tex]\mu=720,\ \ \ \sigma=38[/tex]
To find : x such that P(X>x)=19%
i.e. P(X<x) = 81% [100%-19%=81%]
i.e. P(X<x) = 0.81
[tex]P(\dfrac{X-\mu}{\sigma}<\dfrac{x-720}{38})=0.81[/tex]
Since, [tex]Z=\dfrac{X-\mu}{\sigma}[/tex] and from z-table the z value for p-value of 0.81 (one -tailed) = 0.8779
[tex]\dfrac{x-720}{38}=0.8779\\\\\Rightarrow\ x-720 =38\times0.8779\\\\\Rightarrow\ x-720 =33.36\\\\\Rightarrow\ x = 33.36+720=753.36\approx753[/tex]
Hence, the heaviest 19% of fruits weigh more than 753grams.
