Answer:
y=-11
Step-by-step explanation:
Answer:
y = - 11
Step-by-step explanation:
y=6x+7
y=6*(-3)+7
y=-18+7
y=-11
If the first chapter of a certain book is 16 pages long and makes up 4% of the book, how many pages does the entire book have?
If the first chapter of a certain book is 16 pages long and makes up 4% of the book, then the entire book will have 400 pages.
To find the total number of pages in the entire book, we can set up a proportion based on the given information.
Let "x" be the total number of pages in the book.
The first chapter is 16 pages long and makes up 4% of the book, so the proportion can be set up as follows:
(16 pages) / (x pages) = 4% / 100%
To solve for "x," we can cross-multiply and solve for "x":
16 × 100 = 4x
1600 = 4x
Now, divide both sides by 4 to find the value of "x":
x = 1600 / 4
x = 400
So, the entire book has 400 pages.
Learn more about Proportion click;
https://brainly.com/question/33460130
#SPJ3
Mary multiplied 425.32 by 981.21 and got an answer of 41,732,823.72.
Use estimation to see if her answer is reasonable.
A. No, the answer is about 400,000,000
B. No the answer is about 4,000,000
C. No, the answer is about 400,000
D. No, the answer is about 40,000
(Show your work here.)
Sketch the graph of y = x^2+2x-15 using your graphing calculator. What are the x-intercepts of this graph?
The intercept is 3 and 5
What is intercept?The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
To find x- intercept, y=0
x² + 2x -15=0
x² -5x + 3x -15=0
x(x-5) - 3(x-5) = 0
(x-5)(x-3)=0
Hence, the x- intercept is 3 and 5.
Learn more about this concept here:
https://brainly.com/question/27819804
#SPJ1
4. Triangle ABC with vertices A(2,3), B(5,8), and C(9,2) is graphed on the coordinate plane below.
Which equation represents the altitude of Triangle ABC from vertex B?
Answer:
y = 7x-27
Step-by-step explanation:
Let Y1,Y2,…,Yn denote a random sample from a gamma distribution with parameters α and β. Suppose that α is known. (a) Find the MLE of β. (b) Find the MLE of E(Y).
Where the above are given,
(a) MLE of β: (nα + y₁ + y₂ + ... + yn)/n
(b) MLE of E(Y): (nα + y₁ + y₂ + ... + yn)/n
How is this so ?Maximum Likelihood Estimation (MLE) is a statistical method used to estimate the parameters of a probability distribution by maximizing the likelihood function based on observed data.
(a) The MLE of β can be found by maximizing the likelihood function. The likelihood function for a gamma distribution is given by -
L(β; y₁, y₂, ..., yn) = (1/β^nαΓ(α))ⁿ * exp(-( y₁ + y₂ + ... + yn)/β)
Taking the logarithm of the likelihood function (log-likelihood) to simplify the calculations -
log L(β; y₁, y₂, ..., yn) = n*log(1/β) + nα*log(β) - n*logΓ(α) - ( y₁ + y₂ + ... + yn)/β
To find the MLE of β, we differentiate the log-likelihood with respect to β, set it equal to zero, and solve for β -
d/dβ(log L(β; y₁, y₂, ..., yn)) = -n/β + nα/β² + ( y₁ + y₂ + ... + yn)/β² = 0
Simplifying the equation -
-n/β + nα/β^2 + ( y₁ + y₂ + ... + yn)/β² = 0
Multiplying through by β²
-nβ + nα + ( y₁ + y₂ + ... + yn) = 0
Rearranging whave
nβ = nα + ( y₁ + y₂ + ... + yn)
Finally, solving for β -
β = (nα + y₁ + y₂ + ... + yn)/n
Therefore, the MLE of β is (nα + y₁ + y₂ + ... + yn)/n.
(b) The MLE of E(Y), the expected value of Y, is simply the MLE of β.
So, the MLE of E(Y) is (nα + y₁ + y₂ + ... + yₙ)/n.
Learn more about MLE:
https://brainly.com/question/30513452
#SPJ4
In Science class, students are tracking the amount of rainfall. So
far, it has rained 6 inches in 15 days. If this rate continues, how
much rain will accumulate after 40 days?
Answer:
100 inches
Step-by-step explanation:
15/6=2.5
40*2.5=100 inches
True or False: When the length of a confidence interval is 3 for inference concerning a mean, the required sample size is4
If the length of a confidence interval is 3 for inference concerning a mean, the required sample size is \((z_\frac{\alpha }{2}*\frac{\sigma}{3} )^2\)
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
σ = standard deviation, n = sample size, the margin of error (E) is given by:
\(E=z_\frac{\alpha }{2}*\frac{\sigma}{\sqrt{n} } \\\\E=3, hence:\\\\3=z_\frac{\alpha }{2}*\frac{\sigma}{\sqrt{n} } \\\\n=(z_\frac{\alpha }{2}*\frac{\sigma}{3} )^2\)
If the length of a confidence interval is 3 for inference concerning a mean, the required sample size is \((z_\frac{\alpha }{2}*\frac{\sigma}{3} )^2\)
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
A student begins to build a model of a downtown bridge in the city where he lives. He
measures some of the angles formed by the sides of the model.
The student says both x and y are 65. Why is he incorrect? Use the drop-down menus t
explain your answer.
Considering supplementary angles, we have that the measures of x and y are given as follows:
x = 50º.y = 80º.We also have that x and y have different measures, hence the student is incorrect, and x and 40º are complementary.
What are supplementary angles?Supplementary angles are angles whose measures add to 180º.
The three internal angles of a triangle are supplementary, hence we can find x as follows:
90 + 40 + x = 180
130 + x = 180
x = 50º.
Angles x, y and 50º are also supplementary, hence:
x + y + 50 = 180
50 + y + 50 = 180
y = 80º.
The angles with measures x and 40º are complementary, as they add to 90º.
More can be learned about supplementary angles at https://brainly.com/question/12919120
#SPJ1
Answer:
sum up to 130 but not equal
Step-by-step explanation:
Choose the fraction that is equivalent to the given fraction. 4/10
○2/3
○2/5
○1/2
○8/15
Answer:
4/10 is 2/5 you just divide the two numbers
given the first layer of a convolutional neural network with units, and which inputs in grayscale images that have pixel dimensions, what is the size of the weight matrix for this cnn? describe what the rows/columns represent
To determine the size of the weight matrix for the given convolutional neural network (CNN), we need to consider the number of units in the first layer and the dimensions of the input grayscale images.
In a CNN, the weight matrix is used to perform the convolution operation, which involves applying filters to the input images. Each unit in the first layer corresponds to a specific filter or kernel. The size of the weight matrix will depend on the number of units in the layer and the dimensions of the filters.Let's assume that the number of units in the first layer is N, and the input grayscale images have pixel dimensions MxM. In this case, the weight matrix will have dimensions N x (K x K), where K represents the kernel size. Each row of the weight matrix corresponds to the weights associated with a specific unit in the first layer.The number of columns in the weight matrix is determined by the kernel size, which is typically a square matrix.
The values in the weight matrix represent the learnable parameters of the CNN. By adjusting the weights in the matrix, the CNN can learn to extract meaningful features from the input images and make accurate predictions. Overall, the size of the weight matrix for the given CNN is N x (K x K), where N is the number of units in the first layer, and K is the kernel size. The rows of the weight matrix correspond to the units in the first layer, and the columns represent the weights associated with each pixel in the kernel used for convolution.
To learn more about convolutional neural network (CNN) click here:
brainly.com/question/31285778
#SPJ11
What is the additive inverse of x if x equals -32? ( I will give brainliest)
Answer:
y
Step-by-step explanation:
Natalie opened a bank account that earns 2. 5% simple interest. If her account earned $180 over ten years, how much was Natalie's initial deposit when she opened the account?.
The total amount of the initial deposit of Natalie account when she opened the account is $225.
What is simple interest?Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
The formula for the simple interest can be given as,
\(I=\dfrac{Prt}{100}\)
Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).
Natalie opened a bank account that earns 2. 5% simple interest.
Natalie's account earned $180 over the period of 10 years. The interest amount she earned is,
\(I=\dfrac{Prt}{100}\\I=\dfrac{180\times2.5\times10}{100}\\I=45\)
The interest amount she earned is $45 and the initial amount was $180. Thus, the total amount,
\(A=P+I\\A=180+45\\A=225\)
Thus, the total amount of the initial deposit of Natalie account when she opened the account is $225.
Learn more about the simple interest here;
https://brainly.com/question/2294792
which of the following statistics determines whether there are differences between two nominally scaled variables?
The chi-square statistic is used to determine whether there are differences between two nominally scaled variables. Chi-Square is a statistical test used to compare two nominal variables to determine whether they differ.
The Chi-Square test is used to test for differences between two groups. When you want to compare groups or examine the relationship between two variables, this test is useful. The chi-square test is a method of statistical inference that can be used to compare observed frequencies with expected frequencies, allowing us to determine whether there is a meaningful difference between them. When the p-value obtained from a chi-square test is less than 0.05, it is generally considered statistically significant.
Learn more about Chi-Square
https://brainly.com/question/32595988
#SPJ11
It costs $9 to travel 60 miles. Find the unit rate (cost per mile). Write your answer as a decimal (do not include labels).
Answer:
6.6
Step-by-step explanation:
use a calculator to find your answers it works well
Un frasco de jugo tiene una capacidad de 3/8 de litro ¿cuantos frascos se pueden llenar con cinco litros ?
Answer:
5
Step-by-step explanation:
Plz help what are the coordinates
======================================================
Explanation:
Let's focus on one point, say the point (3,3).
How far is this point from the vertical line x = -1? That would be 4 units. You can count the spaces or subtract with absolute value.
So to go from (3,3) to the mirror line, we move 4 spaces to the left. Then we'll move another 4 spaces to the left to arrive at the image point (-5,3). The x coordinate shifted over 8 spots but the y coordinate stays the same.
The point (3,6) moves in the exact same way, and the exact same set of distances. It will land on (-5,6).
The point (5,3) needs to move 6 spaces to the left to land on the mirror line. Then another 6 spaces to the left to get to (-7,3).
------------
To summarize:
The point (3,3) moves to (-5,3)The point (3,6) moves to (-5,6)The point (5,3) moves to (-7,3)Each time the y coordinate stays the same for any given point being moved. This makes the two triangles on the same horizontal level together.
Once again, refer to the diagram below for a visual summary. I used GeoGebra to make the drawing. It's a free online tool which I recommend for geometry students.
Can someone solve 5(x +3)=30
Answer: x=3
Step-by-step explanation:5(x+3)=30
Divide both sides by 5.
x+3=30/5
Divide 30 by 5 to get 6.
x+3=6
Subtract 3 from both sides.
x=6−3
Subtract 3 from 6 to get 3.
x=3
Answer:
x=3
Step-by-step explanation:
The first thing we have to do is distribute
When distributing, we multiply 5 times the x and 5 times the 3, so basically everything in the parentheses gets multiplied by 5
Our equation now becomes, 5x+15=30
We have to isolate the 5x, so we subtract 15 from each side. This cancelles out the 15 and cuts the 30 down to 15 since 30-15=15
Now our equation is 5x=15
To get the x all by itself, we need to get rid of the 5 before it. We do this by dividing 5 to cancel it out. Since we do something to one side of the equation, we must do it to the other side of the equation, so now we divide 15 by 5 as well
Our final equation is…
x=3
PLEASE AWARD BRAINLIEST!
Mr. McElroy enjoys listening to his MP3 player, which has 2,000 songs in five different genres of music. He took a sample of the number of each type of song it played on two different one-hour sessions when it was set to play a random mix. The results are displayed in the table below. What is a good prediction for the number of rock songs Mr. McElroy has on his MP3 player?
Listening Samples from Mr. McElroy’s MP3 Player
Sample 1
Sample 2
Country
5
Country
3
Pop
4
Pop
3
Classical
3
Classical
5
Jazz
2
Jazz
4
Rock
6
Rock
5
225
Answer:
B. 550
Step-by-step explanation:
I took the test. Please mark brainliest.
Answer:
b
Step-by-step explanation:
Which value must be added to the expression x2 16x to make it a perfect-square trinomial?
Answer:
16
Step-by-step explanation:
x^2+16x+16
(x+4)(x+4)
x^2+ 4x+4x+16
Answer:
The answer is C.) 64 on edge.
Shannon walks 2,500 metres in 1 hour 40 minutes.
How far does she walk in one minute?
Answer:
25m
Step-by-step explanation:
Shannon's rate is 2,500m/100min. Simplifying, we see that this is equal to 25m/1min.
So, she walks 25 m in one minute.
Please solve for x. Then, circle whether each angle pair is complementary or supplementary.
Answer:
This is complematry and x=7
Step-by-step explanation:its complematry because they both add up to make 90 degree angle right angle
8+5=13
90-13=77
3x+8x=11x
77 divided by 11x =7x
make sure to like and mark me the brainlest
2.
Which sequence of transformations will
carry the given pre-image onto the image
shown with dashed lines?
B
D₂
I
a. Reflect across BD, and then
rotate 270° clockwise
b. Rotate 90° clockwise about D,
and then translate to the right
c. Translate to the right, and then
rotate 90° counterclockwise about A
d. Rotate 90° about D, and then
reflect across AB
To translate figure ABCD into A'B'C'D' rotate 90° about D and then reflect across AB.
What is translation of figure?When a figure is relocated from one place to another without changing its size, shape, or orientation, a transition known as translation takes place.
If we know which way the figure is moving and how much, we can draw the translation in the coordinate plane.
Every point of the object must be translated by the same amount and in the same direction.
To translate figure ABCD into A'B'C'D' rotate 90° about D and then reflect across AB.
option (d)
To know more about translation of figure please visit:
https://brainly.com/question/23961993
#SPJ13
3.4 + 2(9.7 – 4.8x) = 61.2
Answer:
x=-4
Step-by-step explanation:
Solve for X
please & thank you
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the solution to (x + 2)(x – 3)2 > 0?
Answer:
x>3
Step-by-step explanation:
Posting this here because why not, it's not like anybody will do it.
Answer:
1. 264
2. degree: 6, term: 3xy^5
3. -60x^3-2x^2+9x
4. 6mn^3-4m
5. 8x^3-4x+2
6. -x^2-6x-13
Step-by-step explanation:
Alex simplified an equation as far as he could and determined that his equation has an infinite number of solutions. Which simplified equation leads Alex to this conclusion?
WHICH ONE IS CORRECT
A
B
C
D
The simplified equation leads Alex to this conclusion is x=5 or x= 0.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have given few Resultant value.
So, x = 5 shows that the resultant value of x is 5.
and, x = 0 shows that the resultant value of x is 0.
and, 5 = 5 shows only equality and for equation there must be variable.
and, 5 = - 5 shows only inequality and for equation there must be variable.
Learn more about Equation here:
https://brainly.com/question/10413253
#SPJ2
Factor the expression.
x^2- 3x+2
O A (x+2)(x-1)
B. (x+2)(x+1)
O C. (x-2)(x-1)
D. (x-1)(x-3)
Answer:
Step-by-step explanation:
The answer would be O C. (x-2)(x-1)
xD
Use the midpoint formula to estimate the sales of cars, inc. in 2009, given the sales in 2008 in 2010. Assume that the sales of cars, inc. Sales always follow a linear pattern.
The points given are:
(2008, 240) and (2010, 280)
The formula for calculating mid-point is:
\((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)From the point given:
x₁=2008 y₁=240 x₂=2010 y₂=280
\((\frac{2008+2010}{2},\frac{240+280}{2})\)\(=(\frac{4018}{2},\frac{520}{2})\)\(=(2009,260)\)Therefore, the sales of cars in 2009 is 260 millions.
Find the value of x. Round your answer to the nearest tenth.
57°
15
Х
X =
Answer:
x = 14
Step-by-step explanation:
Please tell me if I'm wrong. if so I'm sorry
The value of the unknown variable is 12.6.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.
The sum of the angles of the triangle is equal to 180 degrees.
∠A + ∠B + ∠C = 180°
Given is a right angled triangle as shown in the image.
There are six major trigonometric functions as -
Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)We can write the relation between them as -
Sine = 1/cosecantCosine = 1/secantTangent = 1/CotangentWe can write the value of the unknown variable {x} as -
sin(57°) = x/15
sin(57°) = x/15
x = 15 sin(57°)
x = 15 x 0.838
x = 12.6
So, we can conclude that the value of the unknown variable is 12.6.
Therefore, the value of the unknown variable is 12.6.
To solve more questions on triangles, visit the link-
https://brainly.com/question/2773823
#SPJ7