Answer:
Legon fo)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Dataset 1 (in increasing order)
{1, 4, x, 8}
Dataset 2 (in increasing order)
{2, 5, y, 9}
Median of dataset 1
[4 + x] / [2]
Median of dataset 2
[5 + y] / [2]
since the medians of the two given sets of data are the same,
=> [4 + x] / [2] = [5 + y] / [2]
=> 2(5 + y) = 2(4 + x)
=> 10 + 2y = 8 + 2x
=> 2y - 2x = 8 - 10
=> 2y - 2x = - 2
=> 2(y - x) = - 2
=> [2(y - x)] / [2] = [- 2] / [2]
denominators and numerators cancel out
=> (y - x) = - 1
Therefore, (y - x) ² = (-1)²
=> (y - x) ² = 1
1.
Find the midpoint of MN given M(3,-1) and N(11,-9)
what geometric figure is the union of two noncollinear rays a b and a c
9514 1404 393
Answer:
angle bac
Step-by-step explanation:
Both rays emanate from the shared point 'a', which will be the vertex of ...
angle bac
Area of 480 sq inches. Length is 1 1/5 width
Answer:
Step-by-step explanation:
11x5=55
480 dived by 55 = 8.72 repiting
Helppp.........!!!!!!
Answer:
84 centimeters of the width of the item in reality
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. Given the information, let us create a proportionality as such:
1 = 14 ⇒ x - width of item in reality (cm)
6 x
2. Now let us cross multiply, and solve through simple algebra:
14 * 6 = x,
x = 84 centimeters of the width of the item in reality
Venity it (6,-3) is a solution to the system of equations. Is the ordered pair a solution to the system?
Yes, because there are infinite solutions to the
system of equations.
No, because substituting these values into the first
y=-x+1
equation creates a false statement.
Yes, because substituting these values into both
equations forms two true statements.
No, because substituting these values into the
second equation forms a false statement.
Intro
Done
Answer: c
Step-by-step explanation:
i got it right
Answer:
C) Yes, because substituting these values into both equations forms two true statements.
Step-by-step explanation:
What value of x is in the solution set of 4x - 123 16 + 8x?
Answer:
the value of x is in the solution set of 4x-12<16=8x
Step-by-step explanation:
multiply the 4x take away from 12= 8x
Idk what it is asking.
Answer:
Jumbo burger with fried is 75%
chicken with salad is 65%
Step-by-step explanation:
you first split the burger and sides. You add up the sides to find the salad. Then add up the sides and burgers
Answer:
What is the probability that he order a Jumbo Burger with Regular Fries or a Chicken Sandwich with a Salad? Make an area or tree diagram to help with the problem.
Answer to question: 20% for Jumbo Burger with Regular Fries and 10.5% for Chicken Sandwich with a Salad.
Step-by-step explanation:
You are going to find the probability that he order a Jumbo Burger with Regular Fries or a Chicken Sandwhich with a Salad by using a area model or a tree diagram. Although you ddin't ask me to solve it, I'm gonna help you with it anyways.
Sandwhiches:
50% - Jumbo Burger (JB)
30% - Chicken Sandwich (CS)
20% - Regular Burger (RB)
Sides:
40% - Curly Fries (CF)
35% - Salad (S)
25% - Regular Fries (RF)
Acronyms
Jumbo Burger (JB) + Curly Fries (CF) = JBCF
Jumbo Burger (JB) + Salad (S) = JBS
Jumbo Burger (JB) + Regular Fries (RF) = JBRF
Chicken Sandwich (CS) + Curly Fries (CF) = CSCF
Chicken Sandwich (CS) + Salad (S) = CSS
Chicken Sandwich (CS) + Regular Fries (RF) = CSRF
Regular Burger (RB) + Curly Fries (CF) = RBCF
Regular Burger (RB) + Salad (S) = RBS
Regular Burger (RB) + Regular Fries (RF) = RBRF
Probability of combinations:
JBCF = 0.5 x 0.4 = 0.20
JBS = 0.5 x 0.35 = 17.5
JBRF = 0.5 x 0.25 = 12.5
CSCF = 0.3 x 0.4 = 12
CSS = 0.3 x 0.35 = 10.5
CSRF = 0.3 x 0.25 = 7.5
RBCF = 0.2 x 0.4 = 8
RBS = 0.2 x 0.35 = 7
RBRF = 0.2 x 0.25 = 5
Your tree diagram should look something like this:
CF(40%)- outcome - JBCF (20%)
/
(50%)JB --- S(35%)- outcome - JBS (17.5%)
\
RF(25%)- outcome - JBRF (12.5%)
CF(40%)- outcome - CSCF (12%)
/
(30%)CS --- S(35%)- outcome - CSS (10.5%)
\
RF(25%)- outcome - CSRF (7.5%)
CF(40%)- outcome - RBCF (8%)
/
(20%)RB --- S(35%)- outcome - RBS (7%)
\
RF(25%)- outcome - RBRF (5%)
Hope this helps because this took forever :D
A certain television is advertised as a 45-inch Tv (the diagonal length). if the width of the TV is 36 inches, how many inches tall is the TV?
Answer:
27
Step-by-step explanation:correct answer
hope this helps
plz mark me the brainliest
Ms Davis is doing an activity with her statistic students where she gives them a 20 question multiple top choice test and they know none of the answers. Students need to guess on every question and each question has 5 possible choices, 1 of the which is correct.
What is the mean and standard deviation of the number of questions that each student gets correct?
Answer:
The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively.
Step-by-step explanation:
Let the random variable X be defined as the number of correct answers marked by a student.
It is provided that each question has 5 possible choices, 1 of the which is correct.
Then the probability of marking thee correct option is:
[tex]P(X)=\frac{1}{5}=0.20[/tex]
There are a total of n = 20 questions to be answered.
As the students does not the answer to any question, they would be guessing for each question. This implies that for a random question, all the five options has the equal probability of being correct and each of the five options can be correct independently from the other.
All these information above indicates that the random variable X follows a Binomial distribution with parameters n = 20 and p = 0.20.
The mean and standard deviation of a Binomial distribution are:
[tex]\mu=np\\\\\sigma=\sqrt{np(1-p)}[/tex]
Compute the mean and standard deviation of the random variable X as follows:
[tex]\mu=np=20\times 0.20=4\\\\\sigma=\sqrt{np(1-p)}=\sqrt{20\times 0.20\times(1-0.20)}=1.789[/tex]
Thus, the mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively.
According to the question,
The probability of making 3 correct options will be:
→ [tex]P(X) = \frac{1}{5}[/tex]
[tex]= 0.20[/tex]
Total number of questions,
n = 20As we know,
The mean will be:
→ [tex]\mu = np[/tex]
By substituting the values, we get
[tex]= 20\times 0.20[/tex]
[tex]= 4[/tex]
and,
The standard deviation will be:
→ [tex]\sigma = \sqrt{np(1-p)}[/tex]
[tex]= \sqrt{20\times 0.20\times (1-0.20)}[/tex]
[tex]= 1.789[/tex]
Thus the responses above are correct.
Learn more about standard deviation here:
https://brainly.com/question/20896613
The height (in feet) of a rocket from ground level is given by the function f(t) = -16t2 + 220t. What is the instantaneous velocity of the rocket 12 seconds after its launch?
Answer:
-164 ft/second.
Step-by-step explanation:
The instantaneous velocity is given by the derivative;
f(t) = -16t^2 + 220t
V = f'(t) = -32t + 220
So at 12 seconds:
V = -32*12 + 220
= -164 ft/second ( It is negative because it is descending).
The local weather station collected data for the history of temperatures in the month of December in Houston. The tables show the temperature every two hours after 8 a.m. the data can be modeled by a quadratic function
Answer:
6. B. T(n) = -0.411n² +6.5n +27
7. C. The zeros, -18 and 18, can be found when 0 = (x +18)(x -18)
Step-by-step explanation:
6. Graphing, or thinking about the data in the table, you see that it is described by a curve that opens downward and has a peak in the vicinity of n=8.
Of the choices offered, the only ones that describe a downward-opening curve are the ones with a negative leading coefficient, B and C. Of those two, Choice C has a peak at n=0, leaving choice B as the only viable one.
This is confirmed by software that computes the regression formula for you. (see attached)
__
7. You know that "the difference of squares" has a special factored form:
a² -b² = (a +b)(a -b)
This suggests that the function you have might be considered in terms of the difference of squares:
h(x) = x² -324 = x² -18²
So, its factoring would be ...
h(x) = (x +18)(x -18)
The zeros of the function are those values of x such that h(x) = 0. Hence, the zeros can be found when ...
0 = (x +18)(x -18)
Those values of x are -18 and 18, matching choice C.
Convert the degrees measure 180° to radian measure.
Answer:π
Step-by-step explanation:
180°=π
Differentiate the function:
y=x^3+2x-1
Answer:
y' = 3x² + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
y = x³ + 2x - 1
Step 2: Differentiate
Basic Power Rule: y' = 3x³⁻¹ + 1 · 2x¹⁻¹ - 0Simplify: y' = 3x² + 2Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Use the following information to determine your answers: The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. Suppose last night you slept for 5 hours. How many standard deviations are you from the mean? Please round to the second decimal point.
We have been given that the typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. Suppose last night you slept for 5 hours.
We will use z-score formula to solve our given problem as z-score tells a data point is how many standard deviation from the mean.
[tex]z=\frac{x-\mu}{\sigma}[/tex], where,
z = z-score,
x = Random sample score,
[tex]\mu[/tex] = Mean,
[tex]\sigma[/tex] = Standard deviation.
Upon substituting our given values in z-score formula, we will get:
[tex]z=\frac{5-7.5}{1.3}[/tex]
[tex]z=\frac{-2.5}{1.3}[/tex]
[tex]z=-1.923076923[/tex]
Upon rounding to two decimal places, we will get:
[tex]z\approx -1.92[/tex]
Therefore, you are [tex]-1.92[/tex] standard deviations from the mean or 1.92 standard deviation below mean.
The perimeter of a rectangle is 42feet. The length decreased by 3times the width is 1foot . What are the dimensions of the rectangle? (what is the length and width)
Answer: Length is 16 ft. Width is 5 feet.
Step-by-step explanation: Take the information given and write an equation. "Length decreased by 3 is 1" becomes L - 3w = 1 .
"Solve" for L. L= 3w +1
Write another equation for the formula of a perimeter. P=2L + 2w.
Substitute the values for L (from the first "solution" you wrote) and P (42 ft, given).
42 = 2(3w +1) + 2w. Solve this.
42= 6w +2 + 2w
42= 8w +2. Subtract 2 from both sides then divide both sides by 8.
W = 5
Substitute that into the first equation you wrote to get the Length.
L - 3(5) = 1
L -15 = 1. L = 1+15
L = 16
Which is one way to find 2/3 of a number?
A. Divide by 2 and divide by 3.
B. Multiply by 3/2
C. Divide by 3 and multiply by 2.
D. Divide by 2 and multiply by 3.
Answer:
C. Divide by 3 and multiply by 2.
Step-by-step explanation:
To find 2/3 of a number, we multiply by 2 and divide by 3
2/3 * x
This is the same as dividing by 3 and multiplying by 2
Petra jogs 6 miles in 42 minutes. At this rate, how long would it take her to jog 10 miles?
Answer:
70 minutes
Step-by-step explanation:
So if Petra takes 42 min to jog 6 miles, then how long would it take to jog 10 miles? What do we do?
We make a proportion, 6/42 = 10/x
We cross multiply and get an equation of 10*42 = 6*x
We simplify, 6x = 420
And divide 6 by both sides to get x= 70 min
- Hope this helped :)
Brainliest is most appreciated :)
Answer:
It would take Petra 70 minutes to jog 10 miles.
Step-by-step explanation:
There are several ways we can solve this.
As a rate:
42/6=7
One mile takes her 7 minutes.
7*10=70
10 miles takes her 70 minutes.
As a proportion:
6/42=10/x
Cross multiply.
420=6x
x=70
It would take her 70 minutes.
what is the cube root of 1
Answer:
1.
Step-by-step explanation:
∛1= 1.
It can also be seen as:
1×1×1= 1.
The answer to the volume of a sphere/hemisphere should only be written as a(n)
Answer:
Cubic unit.Step-by-step explanation:
The answer to the volume of a sphere/hemisphere should only be written a cubic unit, because volumes depends on three coordinates to be defined, width, lenght and height, where each coordinates is a length itselft, which multiplied give a cubic length unit, due to the power properties.
For example, imagine that you have all three dimensions in meters, then the product would be [tex]m \times m \times m=m^{3}[/tex].
Therefore, the answer that completes the statment is cubic unit. A volume should be always written in cubic units.
Answer:
The answer to the volume of a sphere/hemisphere should only be written as a function of the radius.
Step-by-step explanation:
An hemisphere is half of a sphere. Its volume can be determined by dividing the volume of a given sphere by 2. The volume is the maximum space or capacity that a 3 dimensional object occupies.
volume of a sphere = [tex]\frac{4}{3}[/tex] [tex]\pi[/tex] [tex]r^{3}[/tex]
volume of an hemisphere = [tex]\frac{2}{3}[/tex] [tex]\pi[/tex] [tex]r^{3}[/tex]
In both cases, the volume is dependent on the value of radius.
The answer to the volume of a sphere/hemisphere should only be written as a function of the radius. Volume is measured in cubic units.
John and Ellen bought a big pizza. Ellen ate 2/4 of the pizza and John ate 1/3 of the pizza. How much did they eat all together? How much was left over? (Hint: 12 is the Lowest Common Denominator).
(1/4 was wrong plss helppp)
Answer:
How much did they eat all together? 5/6
How much was left over? 1/6
[tex] \\ [/tex]
Step-by-step explanation:
How much did they eat all together?
[tex] \frac{2}{4} + \frac{1}{3} \\ = \frac{6}{12} + \frac{4}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} [/tex]
[tex] \\ [/tex]
How much was left over?
[tex] 1 - \frac{5}{6} \\ = \frac{6}{6} - \frac{5}{6} \\ = \frac{1}{6} [/tex]
What’s the correct answer for this?
Answer:
The first option. ∠2 and ∠4 are vertical angles.
Step-by-step explanation:
The fact that ∠2 is vertical with ∠4, proves the angles must be congruent. Vertical angles are always congruent, while adjacent angles are supplementary.
Answer:
C
Step-by-step explanation:
Angle 1 is supplementary to both 2 and 4. It's correct
Complete the five-number summary for the data set: 5, 2, 1, 3, 3, 6, 4, 2, 7.
you type in the answer
Answer:
NOOO OYU TYPE INTHE ANSWER
Step-by-step explanation:
Suppose the following set of random numbers is being used to simulate the event of a basketball player making 3 free throws in a row. How should the numbers be arranged?
Answer:
860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153
Step-by-step explanation:
a p e x :))
Answer: 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153
Step-by-step explanation:
The function f(x)=-(x-3)^2+9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of the length of the rectangle, x. What is the maximum area of the rectangle?
A)3 square units
B)6 square units
C)12 square units
D)9 square units
Answer:
D) 9 square units
Step-by-step explanation:
The squared term will always be non-negative, so the least it can be is zero (for x=3). The squared term is subtracted from 9, so the most the function value can be is 9.
The maximum area of the rectangle is 9 square units.
Answer:
9 square units
Step-by-step explanation:
The answer plz hurryyy
Answer:
The answer is that the y-coordinate should be -3 1/2.
Step-by-step explanation:
First, look at the graph. On the x-axis, the dot is at -5, since it is 5 units to the left of the origin. On the y-axis, the dot is at -3 1/2. It is between -3 and -4, not -4 and -5. Therefore, the answer is that the y-coordinate should be -3 1/2, not -4 1/2. You can also check by seeing if -4 1/2 is reasonable. -4 1/2 would mean the dot would be more than 4 units below the origin. On the graph, the dot is clearly above the -4 mark, so the -4 1/2 must not be correct.
A North American company manufactures rivets for use in car production. A sample of forty rivets from the production line had mean 6.803 and standard deviation 0.275 (both in 1/100 of an inch). On communicating these results to the company headquarters in Europe, a request is made for the summary statistics to be converted into millimeters. Given that one inch is 2.538 centimeters, find the mean and standard deviation of the sample in millimeters. What is the mean in millimeters
Answer:
Mean = 1.73 mm
Standard deviation = 0.0698 mm
Step-by-step explanation:
Given:
Sample size, n = 40
Mean, u = 6.803
Standard deviation = 0.275
a) Given that one inch is 2.538 centimeters, to find the mean in millimeters we have:
[tex] 6.803 * \frac{1}{100} [/tex]
Converting to cm, we have:
[tex] 6.803 * \frac{1}{100} * 2.538 = 0.173 cm[/tex]
Converting to mm, we know 1cm = 10 mm,
0.173 * 10 = 1.73 mm
b) Given that one inch is 2.538 centimeters, to find the standard deviation in millimeters we have:
[tex] 0.275 * \frac{1}{100} [/tex]
Converting to cm, we have:
[tex] 0.275 * \frac{1}{100} * 2.538 = 0.00698 cm[/tex]
Converting to mm, we know 1cm = 10 mm,
0.00698 * 10 = 0.0698mm
In this exercise we have to use the knowledge of statistics to calculate the car production, so we have to:
Mean: [tex]1.73mm[/tex]Standard deviation: [tex]0.0698 mm[/tex]Given the following information, we have:
Sample size n = 40 Mean u = 6.803 Standard deviation = 0.275A) Find the convertion to the mean in milimeters, will be:
[tex]6.803*(1/100)*2.538=0.173 cm\\=1.73 mm[/tex]
B) Find the convertion to the stardard deviation in milimeters, will be:
[tex]0.275*(1/100)*2.538=0.00698\\=0.0698 mm[/tex]
See more about statistics at brainly.com/question/10951564
My ice maker created the perfect cube today. Each side was 22 mm.
What is the volume of the ice cube?
Write a description of how you would calculate the area of the shaded space include the answer.
Answer:
The area of shaded region is 25.5 units³
Step-by-step explanation:
Step 1 , you have to find the area of rectangle and triangle using the formulas :
Rectangle :
[tex]area = length \times width[/tex]
Let length = 5 units,
Let width = 6 units,
[tex]area = 5 \times 6[/tex]
[tex]area = 30 \: \: {units}^{2} [/tex]
Triangle :
[tex]area = \frac{1}{2} \times base \times height[/tex]
Let base = 3 units,
Let height = 3 units,
[tex]area = \frac{1}{2} \times 3 \times 3[/tex]
[tex]area = \frac{1}{2} \times 9[/tex]
[tex]area = 4.5 \: \: \: {units}^{2} [/tex]
Step 2 , in order to find the shaded region, you have to substract the area of triangle from the area of rectangle (As the triangle is not shaded) :
[tex]area = 30 - 4.5[/tex]
[tex]area = 25.5 \: \: \: {units}^{2} [/tex]
whats the answer for 45 meters every 5 seconds = meters per second
Answer:
9 meters every second
Step-by-step explanation:
45/5=9
5/5=1
9:1
What’s the volume of the pic
Answer:
100[tex]\pi[/tex] cubic cm
Step-by-step explanation:
The volume of a cone can be represented by the formula [tex]\frac{1}{3} \pi r^{2} h[/tex]. Since we know the radius is 5, all we need to find id the height. To do that, we can use the Pythagorean theorem, and see that the height is equal to 12. Plugging the numbers into the formula gives us:
[tex]V =\frac{1}{3} \pi (5^{2}) (12)[/tex]
[tex]V = 100\pi[/tex]
HOPE THIS HELPED! :)
