Answers
Answer:
x = 20
Step-by-step explanation:
The congruence statement tells you that angle A is congruent to angle D. (Both are listed first in the triangle names.) This means ...
∠A = ∠D
3x -10 = 2x +10
x = 20 . . . . . . . . . . add 10-2x to both sides
Related Questions
Please help me with this problem I am lost
Answers
Answer:
[tex]\frac{49}{15}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5} \times \frac{7}{-6} \times -7[/tex]
[tex]\frac{2}{5} \times \frac{7}{-6} \times \frac{-7}{1}[/tex]
[tex]\frac{2 \times 7 \times -7}{5 \times -6 \times 1}[/tex]
[tex]\frac{-98}{-30}=\frac{98}{30}=\frac{49}{15}[/tex]
Answer:
-3.26 repeating
Step-by-step explanation:
2×7=14
5×(-6) = -30
14/30×(-7)= -3.26 repeating
A credit card company monitors cardholder transaction habits to detect any unusual activity. Suppose that the dollar value of unusual activity for a customer in a month follows a normal distribution with mean $250 and variance $2400.
(a) What is the probability of $250 to $294 in unusual activity in a month? Round your answer to four decimal places (e.g. 98.7654) P-0.4861
(b) What is the probability of more than $294 in unusual activity in a month? Round your answer to four decimal places (e.g. 98.7654) P 0.0139
(c) Suppose that 10 customer accounts independently follow the same normal distribution. What is the probability that at least one of these customers exceeds $294 in unusual activity in a month? Round your answer to four decimal places (e.g. 98.7654)
Answers
Answer:
Step-by-step explanation:
Let x be the random variable representing the dollar value of unusual activity for a customer in a month. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 250
σ = √variance = √2400 = 48.99
a) the probability of $250 to $294 in unusual activity in a month is expressed as
P(250 ≤ x ≤ 294)
For x = 250,
z = (250 - 250)/48.99 = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
For x = 294
z = (294 - 250)/48.99 = 0.9
Looking at the normal distribution table, the probability corresponding to the z score is 0.8159
Therefore,
P(250 ≤ x ≤ 294) = 0.8159 - 0.5 = 0.3159
b) the probability of more than $294 in unusual activity in a month is expressed as
P(x > 294) = 1 - P(x < 294)
P(x > 294) = 1 - 0.8159 = 0.1841
c) since n = 10, the formula becomes
z = (x - µ)/(σ/n)
z = (294 - 250)/(48.99/√10) = 2.84
Looking at the normal distribution table, the probability is 0.9977
Therefore, the probability that at least one of these customers exceeds $294 in unusual activity in a month is
1 - 0.9977 = 0.0023
Let A be an n # n matrix, b be a nonzero vector, and x0 be a solution vector of the system Ax D b. Show that x is a solution of the nonhomogeneous system Ax D b if and only if y D x!x0 is a solution of the homogeneous system Ay D 0.
Answers
Complete Question
Let A be an n x n matrix, b be a nonzero vector, and x_0 be a solution vector of the system Ax = b. Show that x is a solution of the non-homogeneous system Ax = b if and only if y = x - x_0 is a solution of the homogeneous system Ay = 0.
Answer:
Step-by-step explanation:
From the question we are told that
A is an n × n matrix
b is a zero vector
[tex]x_o[/tex] us the solution vector of [tex]Ax = b[/tex]
Which implies that
[tex]Ax_o = b[/tex]
So first we show that
if [tex]x[/tex] is the solution matrix of [tex]Ax = b[/tex]
and [tex]y= x-x_o[/tex] is the solution of [tex]Ay = 0[/tex]
Then
[tex]A(x-x_o) = 0[/tex]
=> [tex]Ax -Ax_o = 0[/tex]
=> [tex]b-b = 0[/tex]
Secondly to show that
if [tex]y= x-x_o[/tex] is the solution of [tex]Ay =0[/tex]
then x is the solution of the non-homogeneous system
[tex]Ax = b[/tex]
Now we know that [tex]y = x-x_o[/tex] is the solution of [tex]Ay =0[/tex]
So
[tex]Ay = 0[/tex]
=> [tex]A(x- x_o) = 0[/tex]
=> [tex]Ax - Ax_o = 0[/tex]
=> [tex]Ax - b = 0[/tex]
=> [tex]Ax = b[/tex]
Thus this has been proved
Terrance is 3.5 years older than Stephanie. Stephanie is 22.5 years old.
Answers
Answer:
Terrance is 25.5
Step-by-step explanation:
Answer:
Hello There. The correct answer is 26
T = 3.5 + 22.5 = 26
Hope It Helps!
What is the simplest form of this expression?
4(y + 2) - 2
Answers
you distribute the 4 to everything in the parentheses and then combine like terms so you would combine the 8 and -2
Answer & Step-by-step explanation:
4(y + 2) - 2
Distribute 4 to (y + 2)
4y + 8 - 2
Combine like terms
4y + 6
So, your answer in the simplest form is 4y + 6
How many pound are in 28 ounces
Answers
Answer:
1.75
Step-by-step explanation:
Divide the ounces by 16 to get the value.
Which ordered pair is the solution of the system of equations? 3x+2y=4, -2+2y=24, I need help Im very confused on how to solve this...
Answers
Answer:
x = -7.33 OR x = [tex]\frac{-22}{3}[/tex]
y = 13
Step-by-step explanation:
→You can use the substitution method. First, make y by itself in (-2 + 2y = 24):
-2 + 2y = 24
2y = 26
y = 13
→Then, plug in 13 for y into the other equation:
3x + 2y = 4
3x + 2(13) = 4
3x + 26 = 4
3x = -22
x = -7.33 OR x = [tex]\frac{-22}{3}[/tex]
Multiply or divide as indicated.
10x^5 divide 2x^2
Answers
Answer:
5x^3(to the power of 3)
Step-by-step explanation:
10x^5/2x^2
divide the 10/2 like normal to get 5
x^5/x^2 (subtract the powers 5-2 when dividing powers)
you would get 5x^3
Fraction - Multiplication : 3/4 x 1/7
Answers
Answer:
given
3/4×1/7
=3×1/4×7
=3/28
thus the answer is 3/28
[tex]answer = \frac{3}{28} \\ solution \\ \frac{3}{4} \times \frac{1}{7} \\ = \frac{3 \times 1}{4 \times 7} \\ = \frac{3}{28} \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
The area of a circle is 18 pi square inches. If the area of a sector of this circle is 6 pi square inches, then
which of the following must be the sector's central angle?
Answers
Answer:
120°Step-by-step explanation:
Area of a sector = [tex]\frac{\theta}{360} * \pi r^{2}\ where\ \pi r^{2} \ is\ the\ area\ of\ the\ circle[/tex]
theta is the sector's central angle
Area of the sector = [tex]\frac{\theta}{360} * \ area\ of\ a\ circle[/tex]
Given area of a circle = 18πin² and area of a sector = 6πin²
On substituting;
6π = [tex]\theta/360 * 18 \pi[/tex]
Dividing both sides by 18π we have;
1/3 = [tex]\theta/360[/tex]
[tex]3 \theta = 360\\\theta = 360/3\\\theta = 120^{0}[/tex]
The sector's central angle is 120°
If a procedure meets all the conditions of a binomial distribution except that the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the xth trial is given by
P
(
x
)
=
p
(
1
−
p
)
x
−
1
where
p
is the probability of success on any one trial.
Assume that the probability of a defective computer component is 0.21. Find the probability that the first defect is found in the fifth component tested.
(Round answer to four decimal places.)
P
(
5
)
=
Answers
Answer:
M.
Step-by-step explanation:
Write the number one and three quarter million in figures.
Answers
Answer 1750000
Step-by-step explanation:
The number "one and three-quarter million" can be written in figures as 1,750,000.
Given the number one and three quarter million.
"One" represents the digit 1.
"Three-quarter" means three-fourths or 3/4.
In decimal form, this fraction is 0.75.
"Million" signifies a value of 1,000,000.
To represent this number in figures, we combine these components:
We start with the digit 1, representing "one."
Then we append the value 750,000, which corresponds to "three-quarter million."
Combining these two parts, we have 1,750,000.
Therefore, "one and three-quarter million" can be written in figures as 1,750,000.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ6
Write an equation of a line that passes through (-6, 1), parallel to y = 2x – 6.
Answers
Answer:
y = -1/2x - 2
Step-by-step explanation:
If it's parallel, that means that the slope is the opposite of the one in the given equation, meaning that 2 would be flipped and turned negative into -1/2.
Then, fill in the x and y values to get the y-intercept.
1 = -1/2(-6) + b
1 = 3 + b
-2 = b
So your answer is y = -1/2x - 2
An engineer believes that there is a linear relationship between the thickness of an air filter and the amount of particulate matter that gets through the filter; that is, less pollution should get through thicker filters. The engineer tests many filters of different thickness and fits a linear model. If a linear model is appropriate, what should be apparent in the residual plot
Answers
Answer:
There should be no pattern in the residual plot.
Step-by-step explanation
Remember a residual plot is calculating if a linear model is appropriate or not and since the engineer is trying to find a linear relationship with his air filters then he should be looking for no pattern.
Here, we are required to determine what should be apparent in the residual plot.
The residual plot will have a negative slope, i.e the residual plot descends from the top left to the bottom right.
According to the Engineer's believe, the thicker the air filter, the less pollution that gets through it.
By plotting each of the quantities on either of x and y axis on the residual plot, The residual plot therefore, has a negative slope.
Read more:
https://brainly.com/question/7412322
A man spend 3/5 of his money and has$ 90 left . how much did he have initially
Answers
Answer:
225 I believe because if he has $90 that is 2/5 so add another 90 whitch is 2/5 as well and divide 90 by 2 and to get 45 which all adds up to 225
3. (05.01)
A pair of linear equations is shown below:
y = -x + 1
y = 2x + 4
Which of the following statements best explains the steps to solve the pair of equations graphically? (4 points)
On a graph, plot the line y = -x + 1, which has y-intercept = -1 and slope = 1, and y = 2x + 4, which has y-intercept = 2 and slope = 4, and write the coordinates of the point of
Intersection of the two lines as the solution.
On a graph, plot the line y = -x + 1, which has y-intercept - 1 and slope = 1, and y = 2x + 4, which has y-intercept = 1 and slope = 4, and write the coordinates of the point of
intersection of the two lines as the solution.
On a graph, plot the line y = -x + 1, which has y-intercept = 1 and slope = -1, and y = 2x + 4, which has y-intercept = -2 and slope = 2, and write the coordinates of the point
of intersection of the two lines as the solution.
On a graph, plot the line y = -x + 1, which has y-intercept = 1 and slope = -1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of
intersection of the two lines as the solution.
Answers
Answer:
On a graph, plot the line y = -x + 1, which has y-intercept = 1 and slope = -1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
Step-by-step explanation:
Each equation is in slope-intercept form:
y = mx + b . . . . . where m is the slope, and b is the y-intercept
The first equation is ...
y = -x +1
so the slope is -1, and the y-intercept is +1.
__
The second equation is ...
y = 2x +4
so the slope is 2, and the y-intercept is 4.
__
The slopes and intercepts are properly described in the last selection.
Use the zero product property to find the solutions to the equation x2 – 9 = 16.
x= -3 or x = 3
x= -6 or x = -3
Ox= -5 or x = 5
O x= 7 or x = 1
Answers
Answer:
x = ±5
Step-by-step explanation:
x^2 – 9 = 16
Add 9 to each side
x^2 – 9+9 = 16+9
x^2 = 25
Take the square root of each side
sqrt(x^2) = ±sqrt(25)
x = ±5
Answer:
[tex]x = 5 \: \: \: or \: \: x = - 5[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 9 = 16 \\ {x}^{2} = 16 + 9 \\ {x}^{2} = 25 \\ x = \sqrt{25} \\ x = 5 \\ x = - 5[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
calculate the
Simple interest on a
7,500,00 for 4 years
at 4½
per
annum
Answers
Step-by-step explanation:
S.i =principal x rate x time/100
7,50000x4x4.5/100
13500000/100
135000
Please answer this correctly
Answers
Answer:
d = 4
Step-by-step explanation:
Using the formula
A=pq/2
Dont for get to click THANKS
WILL GIVE BRAINLIEST! HURRY
Answers
Answer:
[tex]x = - 8[/tex]
Second answer is correct
Step-by-step explanation:
[tex] - 4(2x + 3) = 2x + 6 - (8x + 2) \\ - 8x - 12 = 2x + 6 - 8x - 2 \\ - 8x - 12 = - 6x + 4 \\ - 8x + 6x = 12 + 4 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8[/tex]
hope this helps
THIS QUESTION IS KILLING ME
Calculate the volume of the object by using the triple integral.
Answers
The volume of the solid (call it S) in Cartesian coordinates is
[tex]\displaystyle\iiint_S\mathrm dV=\int_{-1}^1\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\int_{(x^2+y^2)^2-1}^{4-4(x^2+y^2)}\mathrm dz\,\mathrm dy\,\mathrm dx[/tex]
but I suspect converting to cylindrical coordinates would make the integral much more tractable.
Take
[tex]\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=z\end{cases}\implies\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz[/tex]
Then
[tex]4-4(x^2+y^2)=4-4r^2=4(1-r^2)[/tex]
[tex](x^2+y^2)^2-1=(r^2)^2-1=r^4-1[/tex]
and the integral becomes
[tex]\displaystyle\iiint_S\mathrm dV=\int_0^{2\pi}\int_0^1\int_{r^4-1}^{4(1-r^2)}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta[/tex]
[tex]=\displaystyle2\pi\int_0^1r(4(1-r^2)-(r^4-1))\,\mathrm dr[/tex]
[tex]=\displaystyle2\pi\int_0^1r(5-4r^2-r^4)\,\mathrm dr[/tex]
[tex]=\displaystyle2\pi\int_0^15r-4r^3-r^5\,\mathrm dr[/tex]
[tex]=2\pi\left(\dfrac52-1-\dfrac16\right)=\boxed{\dfrac{8\pi}3}[/tex]
There is a bag with only milk and dark chocolates.
The probability of randomly choosing a dark chocolate is
2/9.
There are 24 dark chocolates in the bag and each is equally likely to be chosen.
Work out how many milk chocolates there must be.
Answers
Answer:
80 milk chocolates
Step-by-step explanation:
Probability of choosing a dark chocolate= number of dark
chocolate/number of total
chocolate
But the probability of choosing dark chocolate= 2/9
The number of dark chocolate= 24
Total chocolate= number of dark
chocolate/probability
of choosing dark
chocolate
Total chocolate= 24/(2/9)
Total chocolate=( 24*9)/2
Total chocolate= 108
Number of milk chocolate= total- dark
Number of milk chocolate
= 108-28
= 80
what is the positive solution for the equation
Answers
Answer:
x=3
Step-by-step explanation:
4x^2 - 36 = 0
Add 36 to each side
4x^2 -36 +36 = 0+36
4x^2 = 36
Divide each side by 4
4x^2/4 =36/4
x^2 = 9
Take the square root of each sdie
sqrt(x^2) = ±sqrt(3)
x = -3,+3
We want the positive square root
x=3
Assignment
Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
f(-1) =
f(1) =
f(2)=
>
Answers
Answer:
The value of the function f(x) at x=a can be determined by substituting a instead of x into the function expression.
1. When x=-1, then
f(-1) = 2 * (-1)^3 - 3 * (-1)^2 + 7 = -2 - 3 + 7 = 2.
2. When x=1, then
f(1) = 2 * 1^3 - 3 * 1^2 + 7 = 2 - 3 + 7 = 6.
3. When x=2, then
f(-1) = 2 * 2^3 - 3 * 2^2 + 7 = 16 - 12 + 7 = 11.
Step-by-step explanation:
Answer:
f(−1) =✔ 2
f(1) = ✔ 6
f(2) =✔ 11
Step-by-step explanation:
In a Washington town, the charge for commerical waste collection is $694.55 for 5 tons of waste and $1098.56 for 8 tons of waste. (a) Find a linear formula for the cost, C. of waste collection as a function of the weight, w, in tons.
Answers
Answer:
[tex] m =\frac{1098.56-694.55}{8-5}= 134.67[/tex]
And we can find the intercept like this:
[tex] 694.55 = 134.67*5 +b[/tex]
[tex] b = 694.55 -673.35= 21.2[/tex]
And the equation would be given by:
[tex] C = 134.67 w + 21.2[/tex]
Step-by-step explanation:
For this case we want a function given by:
[tex] C = mw +b[/tex]
Where C is the cost, m the slope, w the weight and b the intercept.
We have the following info (w=5, C= 694.55) and (w=8, C=1098.56) and we can find the slope with this formula:
[tex] m =\frac{1098.56-694.55}{8-5}= 134.67[/tex]
And we can find the intercept like this:
[tex] 694.55 = 134.67*5 +b[/tex]
[tex] b = 694.55 -673.35= 21.2[/tex]
And the equation would be given by:
[tex] C = 134.67 w + 21.2[/tex]
A linear function is a function that changes at a constant rate.
The formula of the linear relationship is [tex]C = 134.67w + 21.2[/tex]
The given parameters are:
w = 5, C = 694.55 ---- Charges for 5 tonsw = 8, C = 1098.56 ---- Charges for 8 tonsStart by calculating the slope (m)
[tex]m = \frac{C_2 - C_1}{w_2 - w_1}[/tex]
This gives
[tex]m = \frac{1098.56 - 694.55 }{8- 5}[/tex]
Simplify
[tex]m = \frac{404.01}{3}[/tex]
This gives
[tex]m = 134.67[/tex]
The equation is then calculated as:
[tex]C = m(w -w_1) + w_1[/tex]
This gives
[tex]C = 134.67(w -5) + 694.55[/tex]
Expand
[tex]C = 134.67w -673.35 + 694.55[/tex]
[tex]C = 134.67w + 21.2[/tex]
Hence, the formula of the linear relationship is [tex]C = 134.67w + 21.2[/tex]
Read more about linear equations at:
https://brainly.com/question/14323743
what is the x-intercept of the line 10x-5y=40
Answers
Answer:
4
Step-by-step explanation:
The x-intercept occurs when y=0, if you think about it graphically. Plug y=o into your equation:
10x - 5(0) = 40
10x = 40 (divide each side by 10)
x=4
Confidence Intervals for Curved Gaussian Family Bookmark this page (a) 1 point possible (graded) Let X1,…,Xn be i.i.d. random variables with distribution N(θ,θ) , for some unknown parameter θ>0 . True or False: The sample average X¯¯¯¯n follows a normal distribution for any integer n≥1 .
a. true
b. false
Answers
Answer:
True
True
Step-by-step explanation:
The unknown parameters are treated as variable and data serve as coefficients. The random variables are value whose outcome depends on some random event. The θ can exist when n ≥ 0. A sample mean is a sequence which has normal distribution and n ≥ 1. The sample average of X-n follows normal distribution for all integer and n is greater or equal to 1.
The given statement is True
Random variable:The unknown parameters should be considered variable and data represent the coefficients. The random variables refers to the value where outcome based on some random event. The θ could exist at the time when n ≥ 0. A sample mean represent the sequence that contains normal distribution and n ≥ 1.
Learn more about distribution here: https://brainly.com/question/24520301
Jose runs a factory that makes stereo tuners. Each S100 takes 8 ounces of plastic and 4 ounces of metal. Each FS20 requires 4 ounces of plastic and 6 ounces of metal. The factory has 312 ounces of plastic, 372 ounces of metal available, with a maximum of 20 S100 that can be built each week. If each S100 generates $7 in profit, and each FS20 generates $13, how many of each of the stereo tuners should Jose have the factory make each week to make the most profit
Answers
Answer: Jose should have the factory make 50 FS20 stereo tuners and 14 S100 stereo tuners each week to make the most profit
Step-by-step explanation:
Since each S100 takes 8 ounces of plastic and 4 ounces of metal. Each FS20 requires 4 ounces of plastic and 6 ounces of metal. And the factory has 312 ounces of plastic, 372 ounces of metal available, then,
For plastic
8 ounces + 4 ounces = 12 ounces
The number of stereo tuners it can produce will be
312/12 = 26 stereo tuners
For metal
4 ounces + 6 ounces = 10 ounces
The number of stereo tuners it can produce will be
372/10 = 37.2 = 37 approximately
Since FS20 generate more profit than S100, let assume that Jose produces 50 FS20 by consuming
4 × 50 = 200 ounces of plastic
6 × 50 = 300 ounces of metal
The remaining plastic will be
312 - 200 = 112
The remaining plastic will be
372 - 300 = 72
Divide 112 by 8 in order to make S100
112/8 = 14
Also 72/4 = 18.
Therefore, Jose should have the factory make 50 FS20 stereo tuners and 14 S100 stereo tuners each week to make the most profit
angle x is coterminal with gale y. if the measure of angle x is greater than the measure of angle y which statement is true regarding the values of x and y
Answers
Answer:
The answer is C
Step-by-step explanation:
did the quiz
Answer:
He is right it C just did the quiz let him have the brainly ;)
Step-by-step explanation:
k(x)=-2x^2+10x+5, Evaluate k(3)
Answers
Answer:
17
Step-by-step explanation:
k(x)=-2x^2+10x+5
k(3)=-2(3)^2+10(3)+5
k(3)=-2(9)+30+5
k(3)=-18+35
= 17
Answer:
71
Step-by-step explanation:
-2(3)^2+ 10(3)+5
So first you multiply the -2 by the 3
(-6)^2+10(3)+5
then you do the exponents
36+10(3)+5
then you multiply the 10 by 3
36+30+5
then you would add 36 and 30
66+5
then add the 5
71