The coefficient of x1 = 0.03 and the coefficient of x2 = - 0.02.
The coefficient of x1 is positive we can say there is a positive relationship between x1 and y as the x1 value increases, the y value also increases
If the x1 value increases as 1 unit then the y value increases as 0.03 unit while x2 keeps constant.
The coefficient of x2 is negative we can say there is a negative relationship between x2 and y as the x2 value increases y value decreases.
If the x2 value increases as 1 unit then the y value decreases as 0.02 unit while x1 keeps constant.
A dichotomous variable is one that takes on one of just two potential qualities when noticed or estimated. The worth is most frequently a portrayal of a deliberate variable (e.g., mature: under 65/65 and over) or a quality (e.g., orientation: male/female).
To learn more about statistics,
https://brainly.com/question/29342780
#SPJ4
Tell Emily safe for trip look back over her spending habits on this page and page 9 what changes do you think she should make to save enough money for her trip explain your answer?
Answer: She could make those two changes to save money for her trip. Also, she could save a little bit of her salary to have enough money to go.
Step-by-step explanation:
This is just a guess but PLEASE GIVE ME BRAINLIEST if you're pleased with my answer.
Annie averages 23 points per basketball game with a standard deviation of 4 points. Suppose Annie's points per basketball game are normally distributed. Let X = the number of points per basketball game. Then X ~ N(23,4) Provide your answer below: The mean is Suppose Annie scores 34 points in the game on Sunday. The z-score when x-34 is This z-score tells you that x=34 is standard deviations to the right of the mean.
This z-score tells you x = 34 is 2.75 standard deviations to the right of mean. And the mean is 23.
What is standard deviation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
Given:
Annie averages 23 points per basketball game with a standard deviation of 4 points.
Suppose Annie's points per basketball game are normally distributed.
Let X = the number of points per basketball game.
By Notation,
X ~ N(23,4) means E(X) = 23, SD(X) = 4
Mean = 23 , Standard deviation = 4
So,
[tex]Z_s_c_o_r_e = \frac{Value - Mean}{Sd}\\Z_s_c_o_r_e = \frac{34-23}{4}\\ = \frac{11}{4} Z_s_c_o_r_e = 2.75[/tex]
mean = 23
This z-score tells you x = 34 is 2.75 standard deviations to the right of mean.
Hence, this z-score tells you x = 34 is 2.75 standard deviations to the right of mean. And the mean is 23.
To know more about standard deviation, click on the link
https://brainly.com/question/475676
#SPJ4
Select all of the following equation(s) that are quadratic in form. x4 – 6x2 – 27 = 0 3x4 = 2x 2(x + 5)4 + 2x2 + 5 = 0 6(2x + 4)2 = (2x + 4) + 2 6x4 = -x2 + 5 8x4 + 2x2 – 4x = 0
The correct answer is option is a) x4 – 6x2 – 27 = 0 , d) 6(2x + 4)2 = (2x + 4) + 2 , e) 6x4 = -x2 + 5. as they are quadratic equations.
What are quadratic equations?A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0. The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. The answer could be straightforward or difficult.
How do you identify a quadratic equation?A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is a curve that represents the graph of a quadratic function. Parabolas can have openings that are upward or downward, different "widths" or "steepnesses," but they all share the same fundamental "U" form.
What is not quadratic equation?Due to the absence of an x2 component, bx 6 = 0 is NOT a quadratic equation. Because there is an x3 term, x3 x2 5 = 0 is NOT a quadratic equation (not allowed in quadratic equations).
The correct answer is option is a) x4 – 6x2 – 27 = 0 , d) 6(2x + 4)2 = (2x + 4) + 2 , e) 6x4 = -x2 + 5.
To know more about quadratic equation visit:
https://brainly.com/question/17177510
#SPJ1
which would be the base case in a recursive solution to the problem of finding the factorial of a number. recall that the factorial of a non-negative whole number is defined as n! where: if n
The base case in a recursive solution to the problem of finding the factorial of a number is n = 0 .
Given :
the base case in a recursive solution to the problem of finding the factorial of a number. recall that the factorial of a non-negative whole number is defined as n! .
Base case :
The base case is the condition to stop the recursion. The recursive case is the part where the function calls on itself .
we know that ,
def func ( n ) :
if n == 0 :
return 1
Here the base case is clearly n = 0
Learn more about the solution here:
https://brainly.com/question/17429689
#SPJ4
the coordinates of the midpoint of a line segment PQ(1, - 2). the coordinates of p are (-3, 2). find the coordinates of Q
The coordinates of the midpoint of a line segment PQ(1, - 2). the coordinates of p are (-3, 2). the coordinates of Q is (4, -4).
In mathematics, how do you find coordinates?You do the reverse to determine a point's coordinates in a coordinate system. Start at the point, then move up or down a vertical line until you reach the x-axis. Your x-coordinate is shown there. Then repeat the process while tracing a horizontal line to determine the y-coordinate.
What kind of example are coordinates?a group of values that exhibit precise positioning On graphs, it is typically represented by a pair of numbers: the first number indicates the length along, while the second number indicates the length up or down. The point (12,5), for instance, is 12 units down and 5 units up.
To know more about coordinates visit:
https://brainly.com/question/27749090
#SPJ4
Bill Roundy bought 800 shares of a mutual fund with an NAV of $14.10. This fund has a load charge of 3%.
a. What is the offer price? (Round your answer to the nearest cent.)
b. What did Bill pay for the investment?
1. The offer price of the 800 shares of a mutual fund with a NAV of $14.10 that Bill Roundy bought is $11,280.
2. For this investment, Bill paid $11,618.40, including the load charge of 3%.
What is a load charge?A load charge is a sales commission that investors pay when they buy (front-end load) or redeem (back-end load) shares in a mutual fund.
What is NAV?NAV means net asset value.
NAV refers to the difference between the investee company's total assets and its total liabilities.
The total number of mutual fund shares bought by Bill = 800
The net asset value of the shares = $14.10
Load charge = 3%
Offer price = $11,280 (800 x $14.10)
Amount Bill paid for the investment = $11,618.40 ($11,280 x 1.03)
Thus, with an offer price of $11,280 for the mutual fund, Bill Roundy paid a total of $11,618.40, including the load charge.
Learn more about the load charge and net asset value at https://brainly.com/question/11915978
#SPJ1
Help me please. Your the best if you help.
Answer:
[tex]x= \boxed{25}\;\; \sf meters[/tex]
[tex]y= \boxed{15}\;\; \sf meters[/tex]
[tex]z= \boxed{58}\;\; \sf degrees[/tex]
Step-by-step explanation:
Similar Triangles
Corresponding sides are always in the same ratio.Corresponding angles are the same size.If ΔWXY ~ ΔQRS then:
WX : QR = XY : RS = WY : QSTherefore:
[tex]\implies \sf WX : QR = XY : RS = WY : QS[/tex]
[tex]\implies (15+x) : 30 = 20 : y = 32 : 24[/tex]
[tex]\implies \dfrac{15+x}{30}=\dfrac{20}{y}=\dfrac{32}{24}[/tex]
Solving for x:
[tex]\implies \dfrac{15+x}{30}=\dfrac{32}{24}[/tex]
[tex]\implies 15+x=\dfrac{30 \cdot 32}{24}[/tex]
[tex]\implies x=\dfrac{30 \cdot 32}{24}-15[/tex]
[tex]\implies x=25[/tex]
Solving for y:
[tex]\implies \dfrac{20}{y}=\dfrac{32}{24}[/tex]
[tex]\implies 20 \cdot 24=32y[/tex]
[tex]\implies y=\dfrac{20 \cdot 24}{32}[/tex]
[tex]\implies y=15[/tex]
If ΔWXY ~ ΔQRS then:
m∠W = m∠Qm∠X = m∠Rm∠Y = m∠STherefore, solving for z:
[tex]\implies m \angle W = m \angle Q[/tex]
[tex]\implies 40^{\circ} = z-18^{\circ}[/tex]
[tex]\implies z=40^{\circ} +18^{\circ}[/tex]
[tex]\implies z=58^{\circ}[/tex]
What must be true for lines A and B to be parallel lines?; Which lines are parallel justify your answer lines a and b are parallel because their?; Which lines are parallel justify your answer ABEF?; Are parallel lines congruent?
Parallel lines are straight lines that never meet each other no matter how long we extend them
Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline.
Numerous pairs of angles are created when a transversal line intersects any two parallel lines. While some angles are additional, others are congruent (equal).
The fundamental characteristics listed below make it simple to recognise parallel lines.
Parallel lines are defined as straight lines that are always the same distance apart.
No matter how far apart they are from one another, parallel lines can never intersect.
I've answered in general as the question is incomplete
To know more about Parallel lines here
https://brainly.com/question/16701300
#SPJ4
Harriett Weiss earned $77 in simple interest in 6 months at an annual interest rate of 7%. How much money did she invest? The answer is supposed to be $2200 but I don't know how to set up the equation and solve it. Please help.
The amount of the investment at a rate of 7% for 6 months will be $2200.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Harriett Weiss procured $77 in straightforward premium in a half year at a yearly loan fee of 7%.
Then the amount of the investment is given as,
$77 = [P x 7 x (6/12)]/100
$7700 = P x 7 x 1/2
7P = $15400
P = $2200
The amount of the investment at a rate of 7% for 6 months will be $2200.
More about the simple interest link is given below.
https://brainly.com/question/2793278
#SPJ1
The length of a rectangle is 2m longer than its width. If the perimeter of the rectangle is 36m , find its area.
Answer:
Below
Step-by-step explanation:
To find the area, you need to multiply L x W....so find those first
2 ( L + W) = 36 m
2 * ( W+2 + W ) = 36 m
4W + 4 = 36 m
W = 8 m then L = 10 m
8 m x 10 m = 80 m^2
HELP 50 POINTS!!!
At the fast food restaurant, an order of fries costs $0.92 and a drink costs $0.96. How much would it cost to get 2 orders of fries and 4 drinks? How much would it cost to get f orders of fries and d drinks?
Total cost, 2 orders of fries and 4 drinks:
Total cost, f orders of fries and d drinks:
Answer: Total: $5.52
F=$1.84
D=$3.68
To get the answer first I did 0.92 times 2. It is $1.84. Next, I did 0.92 times 4. It is $3.68 Then I added them together and got the answers!
Consider a political discussion group consisting of 6 Democrats, 7
Republicans, and 2 Independents. Suppose that two group members are
randomly selected, in succession, to attend a political convention.
Find the probability of selecting no Independents.
(Type an integer or a simplified fraction.)
Answer:
13/15×13/14
Step-by-step explanation:
13/15 are not independents and then 12/14 aren't independants
If you are at - 15 on the number line and you wanted to move toward the positive integers, which direction along the number
line would you need to move?
O To the right.
O To the left.
O Start at zero on the number line and then move to the left.
O The positive integers are not a part of the same number line as the negative integers.
Answer: The number line that you really want to move is the right side. Then, at that point, the right choice is C.
What is a number line?
A number line alludes to a straight line in science that has numbers organized at customary stretches or divides along its width. A number line is frequently shown on a level plane and can be delayed toward any path.
On the off chance that you are at - 15 on the number line and you needed to push toward the positive numbers
The number line that you need to move in the right side. Then the correct option is C.
More about the number line link is given below.
brainly.com/question/13189025
Step-by-step explanation:
Triangles PQR and XYZ are similar triangles. Which are the other two angle measures of triangle XYZ?
The other two angle measures of triangle XYZ are 35° and 75°.
We are given that the triangles PQR and XYZ are similar.
Also, ∠ZXY = 70° and ∠PRQ = 35°.
Now, we know that when two triangles are similar, then the corresponding angles are same.
Therefore, ∠XZY = ∠PRQ = 35°
Now, in triangle XYZ, we have ∠XZY = 35° and ∠ZXY = 70°.
Since, we know that the sum of the angles of a triangle is 180°.
So, ∠XZY + ∠ZXY + ∠ZYX = 180°
i.e. 35° + 70° + ∠ZYX = 180°
i.e. ∠ZYX = 180° - ( 35° + 70° )
i.e. ∠ZYX = 180° - 105°
i.e. ∠ZYX = 75°
Hence, the other two angle measures of triangle XYZ are 35° and 75°.
Learn more about similar triangles here;
https://brainly.com/question/14285697
#SPJ4
The answer is 35 and 75 which is A and C
Edmund is designing his garden. For every yellow tulip, he plans to plant two whites lilies. Using only these two types of flower, he plans to plant 12 flowers in his garden. How many of each type of flower will Edmund plant in his garden? Edmund will plant _______ tulips and _______ lilies.
Answer:
4 yellow tulips and 8 white lilies.
Step-by-step explanation:
Ratio is 1:2:3 for yellow tulips, white lilies and the total.
Set up a proportion
[tex]\frac{yellow}{total}[/tex] = [tex]\frac{yellow}{total}[/tex] Three of these numbers you know, Solve for the unknown
[tex]\frac{1}{3}[/tex] = [tex]\frac{x}{12}[/tex] Cross multiply and solve for x
3x = 12 Divide both sides by 3
x = 4 This is the number of yellow tulips
Set up another proportion:
[tex]\frac{white lilies}{total}[/tex] = [tex]\frac{white lilies}{todal}[/tex]
[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{12}[/tex] I can see that 3 x 4 = 12 so I will multiply the top number to 2 by 4 to get 8.
How much more does Amy need to make each month to cover her costa?
well, let's get Amy's expenses and income to see how much is leftover, hmmm let's recall she's going to be a Resident living off campus, so her total costs will pretty much be the Total Costs of a Resident, now since this is for 9 months, whatever is leftover, we'll have to divide it by 9, Check the picture below.
what is the expression?
In the video, it was remarked that for small values of the equation of motion for the pendulum, 9 sin 0 = 0 is similar to the linear spring equation. If we take two nonzero terms of the L series for sin into account, the model is even more spring-like, but this time to a non-linear spring. From this perspective, which of the following kind of spring is the pendulum most like?
O ideal linear spring
O hard spring O soft spring
Hard spring
What is Spring?
They swing back and forth around a stationary point. Classic examples of this type of vibrating motion are a simple pendulum and a mass on a spring. The use of motion detectors demonstrates that the vibrations of these items have a sinusoidal character, even if this is not obvious from plain viewing.
Let θ be A,
[tex]A''+(g/l)sinA=0\\sinA=A - (A^{3} /3!)+(A^{5} /5!)....\\[/tex]
taking first 2 terms,
[tex]A'' +(g/l)(A-A^{3}/3!)\\[/tex]
intergrating both sides,
[tex]A'+(g/l)(A^{2}/2 -A^{4}/24)=c[/tex]
integrating again,
[tex]A+(g/l)(A^{3} /6-A^{5}/120)=ct+c_{1}[/tex]
power is 5= non linear spring
Additionally, a larger degree indicates that the displacement over time diminishes more quickly.
Hence its a hard spring.
To know more about spring checkout https://brainly.com/question/14670501
#SPJ1
when graphing x is greater than or equal to 1, where does the shading occur
The horizontal and vertical movement of the graph.
A vertical shift is a movement up or down the y-axis, and it's represented by a change in the value of the y-intercept. A horizontal shift is a movement left or right along the x-axis, and in the equation of a function it's a change in the value of x before it's multiplied by the slope.
Vertical Shifts
One simple kind of transformation involves shifting the entire graph of a function up, down, right, or left. The simplest shift is a vertical shift, moving the graph up or down, because this transformation involves adding a positive or negative constant to the function. In other words, we add the same constant to the output value of the function regardless of the input. For a function
g(x) =f(x)+k, the function f(x) is shifted vertically k units.
Horizontal Shifts
We just saw that the vertical shift is a change to the output, or outside, of the function. We will now look at how changes to input, on the inside of the function, change its graph and meaning. A shift to the input results in a movement of the graph of the function left or right in what is known as a horizontal shift,
Given a function f, a new function g(x)=f(x−h) , where h is a constant, is a horizontal shift of the function f . If h is positive, the graph will shift right. If h is negative, the graph will shift left.
Learn more about Shifting of Graph at :
https://brainly.com/question/7698909
#SPJ4
thirty-six students at a local middle school were randomly selected to participate in a taste test to select a new menu item for a cafeteria. each student was given a choice between the macaroni and cheese and the cajun potato barrels. from the sample, 20 students selected macaroni and cheese and 16 students chose the cajun potato barrels. each student was asked to rate the item they chose on a scale from 1 (extremely dislike) to 9 (extremely like). which of the following prevents this study from being a well-designed experiment?
The treatments (new menu item) were not randomly assigned to the students when 36 local middle school kids were chosen at random to take part.
Given that,
36 local middle school kids were chosen at random to take part in a taste test to choose a new menu item for a cafeteria. The Cajun potato barrels or the macaroni and cheese were the options offered to each pupil. 20 pupils chose the macaroni and cheese from the sampling, while 16 selected the Cajun potato barrels. On a scale from 1 (very dislike) to 9 (very much like), each student was asked to rank the object they selected (extremely like).
We have to find which of the following keeps this study from being an experiment with a sound design.
Each student was given the option of choosing either the macaroni and cheese or the Cajun potato barrels. Because the students' treatments were not distributed at random, those who preferred their cuisine chose it and gave it high marks. As a result, the study has selection bias.
Therefore, The treatments (new menu item) were not randomly assigned to the students when 36 local middle school kids were chosen at random to take part.
To learn more about student visit: https://brainly.com/question/24116760
#SPJ4
The marked price of an article is Rs. 8000. After allowing a certain percent of discount with 13% Value Added Tax (VAT) levied, the articles is sold at Rs 7684. Find the difference between discount amount and VAT amount.
Answer:
$1200.00
Step-by-step explanation:
Let x = the discounted priced
x + .13x = 7684 Combine like terms.
1.13x = 7684 Divide both sides by 1.13
[tex]\frac{1.13x}{1.13}[/tex] = [tex]\frac{7684}{1.13}[/tex]
x = 6800
$6800 is the cost of the discounted article before tax.
8000 - 6800 = 1200
What function has an inverse which is also one-to-one?
If a function is defined as z = f(x), then the inverse of the function f is x = f-1 (x) i.e. f-1 defined from z to x.
In mathematics, function is an expression that explains the relationship between the variable and other variable. In this expression, one variable is independent and the other is dependent. unction and into function.
There are four types of functions. There is one to one function, many to one function, onto function, one to one and onto function.
Inverse function refers to the expression where the original output becomes the opposite.
These are the expressions used in mathematics to solve the problems and equations. In other fields of science, inverse function is also used.
To learn more about inverse function, click here:
https://brainly.com/question/2541698?referrer=searchResults
#SPJ4
Find the dimensions of the rectangle of maximum area, with sides parallel to the coordinate axes, that can be inscribed in the ellipse given by x^2/144+y^2/16=1
The dimensions of the rectangle of maximum area are the length of 12√3 units and width of 4 units
How to find the dimensions of the rectangle of maximum area?
Given that the ellipse has the equation: x²/144 + y²/16 = 1
Make x the subject:
x²/144 + y²/16 = 1
(x²+9y²)/144 = 1
x² + 9y² =144
x² = 144-9y²
x = √(144-9y²)
The rectangle vertices is at (x,y), (-x,y), (x,-y), (-x,-y). Thus, the rectangle has a length and width of 2x and 2y respectively
The area of a rectangle inscribed inside an ellipse is given by:
Area (A) = 4xy
A = 4(√(144-9y²))y
A = 4y√(144-9y²)
A = 4√(144y²-9y⁴)
The maximum area of the rectangle is at dA/dy = 0
dA/dy = 4[144-18³y/ (√(144y²-9y⁴))]
4[144-18y³/ (√(144y²-9y⁴))] = 0
144-18y³= 0
18y³ = 144
y³ = 144/18
y³ = 8
y = ∛8
y = 2
x = √(144-9y²)
x = √(144 - 9(2)²)
x = √108
x = 6√3
Thus, the dimensions are the length = 2x = 2×(6√3) = 12√3 units, the width = 2y = 2×2 = 4 units
Learn more about rectangle inscribed in ellipse on:
brainly.com/question/20912961
#SPJ1
The weights of a population of mice fed on a certain diet since birth are assumed to be normally distributed with μ = 100 and σ = 20 (measurement in grams). Suppose that a random sample of n = 4 mice is taken from this population. Find the probability thata exactly two weigh between 80 and 100 grams and exactly one weighs more than 100 grams.b all four mice weigh more than 100 grams.
The binomial distribution can be used to determine the likelihood that exactly two mice weigh between 80 and 100 grams and exactly one mouse weighs more than 100 grams.
a) The likelihood that a single mouse weighs between 80 and 100 grams is the same as the likelihood that it weighs between 80 and 100 grams and less than that. This is determined by the normal distribution's cumulative distribution function (CDF), which has a mean of 100 and a standard deviation of 20, and is assessed at 100 and 80, respectively. One less than the CDF of the normal distribution with a mean of 100 and a standard deviation of 20, evaluated at 100, yields the likelihood that a single mouse weighs more than 100 grams. The binomial probability mass function,
with parameters, n = 4
k = 2,
p = probability
that a single mouse weighs between 80 and 100 grams, then provides the likelihood that precisely two mice weigh between 80 and 100 grams and precisely one weighs more than 100 grams. The binomial probability mass function, with parameters, n = 4,
k = 4
p = probability
that a single mouse weighs more than 100 grams, provides the likelihood that all four mice weigh more than 100 grams.
b) We are unable to compute the probabilities precisely because we do not have the values of the CDF for the normal distribution. However, it is possible to state that the likelihood of all four mice weighing more than 100 grams is less likely than the likelihood that two mice exactly weigh between 80 and 100 grams and one mouse precisely weighs more than 100 grams. This is so because it is less likely that a single mouse will weigh more than 100 grams than it is that it will weigh between 80 and 100 grams.
To learn more about probability: https://brainly.com/question/13604758
#SPJ4
A random sample of 45 door-to-door encyclopedia salespersons were asked how long on average they were able to talk to the potential customer. Their answers revealed a mean of 8.5 minutes with a variance of 9 minutes.
Construct a 95% confidence interval for mu, the time it takes an encyclopedia salesperson to talk to a potential customer.
What is the upper confidence limit?
If the mean is 8.5 minutes and the variance is 9 minutes then the upper confidence limit is 9.3765 .
In the question ,
it is given that ,
the number of sales person in the random sample (n) = 45 ,
the mean = 8.5 minutes
the variance is = 9 minutes .
So , the standard deviation is = 3.
For the 95% confidence interval the level of significance (α) is 0.05 .
So , α/2 = 0.05/2 = 0.025 .
So , from Z table ;
the value of [tex]Z_{\frac{\alpha }{2} }[/tex] is = 1.96 .
The formula for the confidence interval is
= [ mean ± [tex]Z_{\frac{\alpha }{2} }[/tex](SD/√n)]
Substituting the values from above ,
we get ,
= [8.5 - 1.96*0.4472 , 8.5 + 1.96*0.4472]
Simplifying further ,
we get ,
= [ 7.6235 , 9.3765 ]
Therefore , the upper limit of the 95% confidence interval is 9.3765 .
Learn more about Confidence Interval here
https://brainly.com/question/24188393
#SPJ4
Which of the following represents a one to one function?
A.Students to thier height
B.Students to their weight
C.Students to their LRN
D.Students to their age
Students to their LRN represent a one-to-one function.
If there is exactly one y in the range for every x in the domain of a function f, then that function is a one-to-one function. The range has no y equivalent to more than one x in the domain.
To put it another way, a function is referred to as a "one-to-one" function if various elements of A have different images in B. That is, there are various outputs for various inputs.
Here, each student has a different LRN or Learner Reference Number. No two students will have the same LRN. Therefore, this function is a one-to-one function. The correct option is C.
Two or more students can have the same height, weight, or age. Therefore, the incorrect options are options A, B, and D.
To know more about one-to-one function:
https://brainly.com/question/18154364
#SPJ4
Some people active cult like status after their death, such as Jimi Hendrix. Brad has a list of thirteen such people and would like to propose some documentaries about four of them. If there are thirteen people to choose from on the list, in how many ways could brad pick groups of four?
The number of ways that Brad can pick groups of four is 715 ways.
How many ways could Brad pick groups of four?Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.
Combination formula is given as:
= n! / ((n – r)! r!)
n = the number of items.
r = how many items are taken at a time.
Based on the information, Brad has a list of thirteen such people and would like to propose some documentaries about four of them. This will be:
n! / ((n – r)! r!)
= 13! / (13 - 4)!4!
= 13! / 9!4!
= 13 × 12 × 11 × 10 / 4 × 3 × 2
= 715
There'll be 715 ways.
Learn more about combinations on:
brainly.com/question/4658834
#SPJ1
A total of 50 people play darts.
Each player is given 3 darts to try and
hit the bullseye. If 21 of the darts hit
the bullseye, then what percent of
the darts hit the bullseye?
The percentage of the darts hit the bullseye will be 14%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A sum of 50 individuals plays darts. Every player is given 3 darts to attempt to stir things up around town. Assuming 21 of the darts hit the bullseye.
The total number of dart is calculated as,
Total dart = 50 x 3
Total dart = 150
The percentage is given as,
P = (21 / 150) x 100
P = 0.14 x 100
P = 14%
The percentage of the darts hit the bullseye will be 14%.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
(1 point) determine whether the line integral of each vector field (in blue) along the oriented path (in red) is positive, negative, or zero.
Through the graph we will determine if the line integral of each vector field is positive, negative, or zero. The answer to this question is:
-Positive
-Negative
-Zero
-Negative
-Zero
-Zero
What is the Line integral?
A line integral, also known as the route integral, curve integral, or curvilinear integral, is used to find the surface's area in three dimensions. In this integral, the function is evaluated along a curve. There are several applications of line integrals, such as in the field of electromagnetics, to find the force applied on a charged particle moving along a curve in a force field created by a vector field.
To learn more about Line integral, visit:
brainly.com/question/28081626
#SPJ4