The standard formula of the ellipse with center (2, 0), a major axis of length 12 and endpoint of minor axis (5, 0) described in the statement is (x-2)²/9 + y²/36 = 1.
How to derive the equation of the ellipse based on given information
The ellipse is a kind of conic whose formula in standard form is shown below:
(x-h)²/b²+(y-k)²/a² = 1 (1)
Where:
x, y - Orthogonal axes of the ellipse.h, k - Location of center of the ellipse.b - Length of the minor semiaxis.a - Length of the major semiaxis.In this question we are supposed to construct the standard equation the ellipse by replacing all the variables. If we know that b = 3, a = 6, h = 2 and k = 0, then the standard equation of the ellipse is:
(x-2)²/9 + y²/36 = 1 (2)
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How do you solve the area
Jessie wants to run a simulation of 10 trials to determine the probability of her picking at least one green marble in her next two picks. She will replace the marble after the first pick. Explain how Jessie can conduct a simulation using random digits from 0-9.
The simulation using random digits is an illustration of sample space and probability
How to run the simulation using random digits?From the question, we understand that the simulation is to determine the probability that she picks at least one green marble in her next two picks.
One of the ways this can be done is as follows:
Represent the green marbles with digits 0 - 4 Represent the other marbles with digits 5 - 9The above ensures that the probability of picking a green marble in each selection is 0.5 and the probability of not picking a green marble in each selection is also 0.5 i.e. the experiment is fair
Next, is to run a simulation of 10 trials.
Take for instance, the result of the simulation is as follows:
00 65 36 48 55
19 34 87 13 90
The number of outcomes that has at least one of digits 0 - 4 represents the required outcome i.e. picking at least one green marble
From the simulation result, the number of outcomes is
At least 1 green marble = 7
Number of trials = 10
So, the probability of picking at least a green marble is:
P = 7/10
P = 70%
Note that there are several other ways the simulation can be done; this is just one of them
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1. Suppose that the weights of 3500 registered female Great Danes in the United States are
distributed normally with a mean of 125 lb. and a standard deviation of 5.2 lb.
Approximately how many of the Great Danes weigh more than 130.2 lbs.?
2. Body mass index, or BMI, of 18-year-old females are normally distributed with a mean of 24.6 and
a standard deviation of 2.4. Eighteen-year-old Sasha BMI has a z-score of 1.22.
What is Sasha’s BMI?
3. An experiment compares weight of fish for two different brands fish food. Nacho Average Minos
fish food has a mean fish weight 12 lbs., and a standard deviation of 1.4 lbs. Impossible Minos fish
food has a mean fish weight of 14 lbs. and a standard deviation of 1.2 lb. A fish is measured to be
13.1 lbs. Which brand of fish food, Nacho Average Minos, or Impossible Minos, is more likely to have
been used to feed this fish?
4. Height of 10th grade boys is normally distributed with a mean of 66.9 in. and a standard deviation
of 2.5 in.
The area greater than the z-score is the probability that a randomly selected 15-year-old boy
exceeds 71 in.
What is the probability that a randomly selected 10th grade boy exceeds 71 in.?
Use your standard normal table.
5. Heights for 16-year-old girls are normally distributed with a mean of 64 in. and a standard
deviation of 1.9 in.
Find the z-score associated with the 90th percentile.
Find the height of a 16-year-old girl in the 90th percentile.
State your answer to the nearest tenth of an inch.
Answer:
1 3500 2 24.6 3 12
Step-by-step explanation:
Write down the shortest distance of points A,B,C, and D from the x-axis
Answer:
c
Step-by-step explanation:
31,616 divided by 52
what is the digit 9 in 195,487
Answer:
90,000 is the answer to that question
Answer:
It is a number located in the tens of thousands whose value is 90,000.
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I hope help you :)
Kind regards, Antonio.
What is the mean absolute deviation of the following set
of data?
4
1
5
3
2
4.
5
3
3
4
Answer:
1
Step-by-step explanation:
The mean absolute deviation of a dataset is the average distance between each data point and the mean.
PLEASE HELP PLEASE HELP
13. Lorelei counted the faces on some three-dimensional figures. She found two figures with exactly 5 faces each. Which of two figures have exactly 5 faces each?
A. rectangular prism and triangular prism
B. rectangular pyramid and triangular pyramid
C. rectangular prism and triangular pyramid
D. rectangular pyramid and triangular prism
[tex] \\ [/tex]
Answer:D. Rectangular pyramid and triangular prism[tex]__________[/tex]
A. rectangular prism and triangular prism
Rectangular prism has 6 faces while triangular prism has 5 faces.B. rectangular pyramid and triangular pyramid
Rectangular pyramid has 5 faces while triangular pyramid has 4 faces.C. rectangular prism and triangular pyramid
Rectangular prism has 6 faces while triangular pyramid has 4 faces.D. rectangular pyramid and triangular prism
Both rectangular pyramid and triangular prism has exactly 5 faces.Therefore, the answer is D. Rectangular Pyramid and Triangular Prism.
Use a graphing calculator to determine the linear, quadratic, or exponential equation that best represents the data. For linear and quadratics, round slope, -intercept, and coefficients to the nearest integer. For exponential, round to the nearest integer and to the nearest tenth. Day Snow Depth (inches) 1 47 2 29 3 20 4 10 5 7 6 5 7 1.5
Answer:
y=88e^ -0.5x
Step-by-step explanation:
https://keisan.casio.com/exec/system/14059932387562
1) Use this online graphing calculator if you do not have on ^^
2) plug in data and choose "e-Exponential regression"
3) A= 88.4385965
B= -0.532128051
4) Round A to the nearest integer and B to the nearest tenth
5) Use the formula given "y=Ae^ Bx"
6) Leave the variables "e" and "x" as they are
A quadratic equation would best represent the data
i.e
-8x² + 93x - 56
What is a scatterplot?A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.
In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.
The position of each point on the graph represents the values of both variables for that particular observation.
We have,
To determine the best equation to represent the data, we will first plot the points on a graphing calculator:
Day Snow Depth
1 47
2 29
3 20
4 10
5 7
6 5
7 1.5
Now,
Based on the scatter plot of the points, it appears that a quadratic equation would best represent the data.
Using the quadratic regression feature on the graphing calculator, we obtain the following equation:
Snow Depth = -8x² + 93x - 56
Rounding to the nearest integer, the final equation that best represents the data is:
Snow Depth = -8x² + 93x - 56
Thus,
A quadratic equation would best represent the data
i.e
-8x² + 93x - 56
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Solve the inequality.
3 – 2a < 7
a > 2
a < 2
a < –2
a > –2
Answer:
a > –2
Step-by-step explanation:
3 – 2a < 7
-3 -3
-2a < 4
/-2 /-2
a > -2
4* - 5(2*) + 4 = 0, u = 2* [Note: 4* = (2*)^2
Use the substitution given
Answer:
x = 0, 2
Step-by-step explanation:
[tex] {4}^{x} - 5( {2}^{x} ) + 4 = 0 \\ {({2}^{x})}^{2} - 5( {2}^{x} ) + 4 = 0 \\ {u}^{2} - 5u + 4 = 0 \\ (u - 1)(u - 4) = 0 \\ u = 1 \: or \: u = 4 \\ {2}^{x} = 1 \: or \: {2}^{x} = 4 = {2}^{2} \\ x = 0 \: or \: x = 2[/tex]
?
Which expression is equivalent to 2(x + 7) – 18x + 4/5
А А
74
20x +
5
139
20x +
5
B
С
74
-16x +
5
D
139
-16x +
5
Answer:
I got -16x+44/3
Step-by-step explanation:
PLS HURRY TIMED!!!
.
.
.
.
.
.
.
.
Answer:
-3
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Start with the diagonal going from upper left to lower right.. That gives -4*6 = - 24
Now calculate the other diagonal
-(3 * - 7 ) = 21
Now add them.
-24 + 21 = -3
. Callie stopped for lunch when she was shopping at the mall. She bought two pieces ofpizza for $2.95 each and a soda for $2.25. About how much did she spend?
ESTIMATE UR ANSWER AND SHOW WORK PLSSS!
Answer:
about $8
Step-by-step explanation:
Pizza at $2.95 can be rounded to $3.
Callie had two pieces of pizza, so $3 x 2 = $6.
Soda at $2.25 can be rounded to $2.
Two pieces of pizza $6 + Soda $2 = about $8
Select all expressions that are equivalent to x-5
Answer:
C. [tex]-5+x[/tex]
E. [tex]x+(-5)[/tex]
F. [tex]-5-(-12)[/tex]
Step-by-step explanation: Let's say we chose a random number to represent x I chose 12
NEED HELP ASAP
Solve this quadratic equation by completing the square.
x2 + 4x = 15
O A. X=-4 + 119
O B. *=-4 1/15
O c. x=-2119
O D. X=-27 15
Step-by-step explanation:
to solve quadratic equation when the roots are not rational
x = -b+-√(b^2-4*a*c)/ 2a
here a = 1
b = 4
c = -15
(-4+-√16+65)/2
-4+-√81/2
(-4+-9)/2
x = -13/2, 5/2
Answer:
The answer is D.
Step-by-step explanation:
(X+2)²=19
Which word below means "to make as small as possible"?
O A. Loss
O B. Minimize
O C. Revenue
O D. Maximize
Minimize costs and maximize revenue best explains what the profit motive pushes producers to do. The correct option is B.
What is revenue?Revenue is defined as the money generated by normal business operations and is calculated by multiplying the average sales price by the number of items sold.
here, we have,
Revenue refers to the total earnings generated by a company through its core operations, such as product or service sales, property rents, recurring payments, interest on borrowings, and so on.
Net income is calculated by subtracting other costs and expenses from the total amount of money.
The profit motive drives producers to reduce production costs while increasing revenue in order to increase profits.
They can increase their financial gain and make their business more successful by doing so.
Thus, the correct option is B.
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Complete question:
Which of the following best explains what the profit motive pushes producers
to do?
O
A. Achieve the maximum revenue.
O
B. Minimize costs and maximize revenue.
O
C. Produce as much as possible.
O
D. Balance monetary and non-monetary benefits.
SUBMIT
Please help me with 6 and 7 (photo attached)
Answer: Yes, No
Step-by-step explanation:
F= G mM/r^2 solve for m
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve for m
[tex]\qquad \tt \dashrightarrow \:F = \dfrac{ GMm}{ {r {}^{2} }}^{} [/tex]
[tex]\qquad \tt \dashrightarrow \:F {r}^{2} = { GMm}{ { {}^{} }}^{} [/tex]
[tex]\qquad \tt \dashrightarrow \:m = \dfrac{F {r}^{2} { { {}^{} }}^{} }{GM}[/tex]
21. Which kind of function best models the data in the table? Use differences or ratios. (1 point)
Y
01.3
17.8
246.8
3 280.8
41684.8
O linear
O quadratic
exponential
O none of the above
WILL GIVE BRAINLEIEST HURRRYY
The graph of an exponential function, f(x), is shown.
Move numbers to the blanks to describe how f(x) increases and grows over different intervals.
This are the answers
Pencils are sold in boxes of
12. Mrs. Sheridon wants to
give 2 pencils to each of her 24
students. How many boxes of the
pencils will she need to buy?
4 boxes 4.12 = 48 pencils
hope it helps...!!!
what is 56 divided by 6185
Answer:
0.01 (rounded)
0.00905416329
Step-by-step explanation:
I need help with a math problem.
Answer:
First of all, you need to give us the problem dum a
Step-by-step explanation:
.
If 100 students are surveyed, about how many students own 2 or more pets? Explain. Problem: 9/20x100 Please tell me how to get the answer just not the answer. Thank you.
Answer:
45
Step-by-step explanation:
20 goes into 100 5 times so then you tka e the 9 and x 5 and you get 45
What is the inverse of function f? F(X) = square root of x +7
Answer: [tex]f^{-1} (x)=x^{2} -7[/tex]
Step-by-step explanation:
To find the inverse of a function replace f(x) with x and the original x with y
[tex]f(x)=\sqrt{x+7} \\x=\sqrt{y+7}[/tex]
Now we can solve for y
Square both sides so we can cancel out the root
[tex]x=\sqrt{y+7}\\x^{2} =\sqrt{y+7}^{2} \\x^{2} =y+7[/tex]
Now subtract 7 from both sides
[tex]x^{2} =y+7\\x^{2} -7=y+7-7\\x^{2} -7=y[/tex]
Now replace y with the inverse of f(x), [tex]f^{-1} (x)[/tex]
f⁻¹=x²+7
Solution:In order to find the inverse of a function, we should first replace f(x) with y, then switch x and y places, like so:y=√x+7x=√y+7Now, solve the equation for y.Square both sides in order to get rid of the square root:x²+7=yy=x²+7And finally, replace y with f⁻¹:f⁻¹=x²+7Also, inverse functions do the opposite thing in the opposite order.So if we have f(x)=x+7, the inverse function is: f⁻¹=x-7Hope it helps.
Do comment if you have any query.
the sum it two numbers is 82.5. Their difference is 12.9. what are the numbers
Explaination :
Let us assume the unknown two numbers as an variable. Here we are assuming it as a and b.
★ According to the question,
Sum of those assumed two numbers is 82.5.
a + b = 82.5
Also it is given that difference of both the two numbers is 12.9.
a - b = 12.9
From the given information we got two equations,
a + b = 82.5 (Equation No 1)
a - b = 12.9 (Equation No 2)
So we would solve them and get the value of a and b.
★ From Equation No 2 :
a = 12.9 + b
★ In Equation No 1 :
Substituting the value of a which we got above here,
(12.9 + b) + b = 82.5
12.9 + b + b = 82.5
12.9 + 2b = 82.5
2b = 82.5 - 12.9
2b = 69.6
b = 69.6 / 2
b = 34.8
★ Therefore,
Value of b is 34.8★ Finding out value of a :
a = 12.9 + b
a = 12.9 + 34.8
a = 47.7
Question is in picture
Answer:
the first one is the correct answer
Step-by-step explanation:
the controlled variable is the one that stays constant, so the answer is 'the type of candy and the way in which we held the candy in our mouths'
:)
Around which line would the following cross-section need to be revolved to create a sphere?
Options:
A: x = 1
B: y = 1
C: y axis
D: x = 2
i thought it was y axis but im not sure so i just want to make sure!!
Answer:
B y=1
Step-by-step explanation:
Lincoln needs to order some new supplies for the restaurant where he works. The restaurant needs at least 682 spoons. There are currently 388 spoons. If each set on sale contains 8 spoons, which inequality can be used to determine x, the minimum number of sets of spoons Lincoln should buy?
Answer:
8x + 388 ≥ 682
Step-by-step explanation:
"The restaurant needs at least 682 spoons."...so we need 682 ore more
...What we already have + what we are going to order... ≥ 682
"There are currently 388 spoons. "
388 + ...what we are going to order... ≥ 682
Order has "each set on sale contains 8 spoons"...and , " x is the minimum number of sets "
388 + 8x ≥ 682