Using the binomial distribution, it is found that there is a 0.1008 = 10.08% probability that exactly 18 of them say job applicants should follow up within two weeks.
What is the binomial distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The values of the parameters are given as follows:
n = 25, p = 0.62.
The probability that exactly 18 of them say job applicants should follow up within two weeks is P(X = 18), hence:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 18) = C_{25,18}.(0.62)^{18}.(0.38)^{7} = 0.1008\)
0.1008 = 10.08% probability that exactly 18 of them say job applicants should follow up within two weeks.
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Jordan has a bag of 28 markers. Each marker is 20 centimeters long. What is the combined length of
the markers in meters?
Answer:
560
Step-by-step explanation:
GIVING BRAINLIEST AND EXTRA POINTS TO BEST EXPLAINED ANSWER EVER!
Answer:
3/16 of her garden are red roses
she was not correct, 2/4 is not equal to 3/16
Step-by-step explanation:
3/4 garden are roses
1/4 of those are red (1/4 of 3/4)
3/4 (1/4) = 3/16 of her garden are red roses
Answer:
Yes she is correct because if you have the 3/4 u still have 1/4 un planted an then she adds the 1/4 an that would make it 2/4.
Step-by-step explanation:
hope this helps
Solve for the value of q
Answer:
\(q=45\)
Step-by-step explanation:
Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:
\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)
If the image is rotated about the x-axis, which of the following images best represents the result?
A. Y
B. Z
C. X
D. W
The images best represents the result is image W.
We have, the image is rotated about the x-axis.
Now, rotating around x axis can give the other half of the image.
Also, rotating about x axis gives the mirror image of the figure.
So, the rotation leads to a circle.
and, In three dimensional we can say that Sphere.
Thus, the required image is W.
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tiffany is filling her daughter pool with water from a hose.She can fill the pool at a rate of 1/10 gallons per second. Choose an equivalent ratio that are associated with the rate.
A. 2/20 gallons per sec.
B.2/15 gallons per second
C. 2/10 gallons per second
Answer:
A. 2/20
Step-by-step explanation:
2/20 = 1/10
2/15 = 2/15
2/10 = 1/5
What is the value of 3 in 384?
Please explain?!
Answer:uhhhhh 300
Step-by-step explanation:
I don’t really need to explain bc all u need to do is take the 80 and 4 away and u have only 300
Which point would NOT be a solution to the system of linear inequalities shown below?
It's asking would not be a solution soo
(-10, -9) as you can see
You're welcome thank me later
How can you eliminate the y-terms in this system?
To eliminate the y-terms in this system of equations, we can multiply the second equation by 2 and add it to the first equation.
We have,
To eliminate the y-terms in this system of equations, we can multiply the second equation by 2 and add it to the first equation.
This will result in the y-terms canceling out, and we will be left with only x-terms on one side of the equation, which we can then solve for x.
So, multiplying the second equation by 2, we get:
2(3x + 4y) = 2(5)
6x + 8y = 10
Now, adding this to the first equation, we get:
4x - 8y + 6x + 8y = 20 + 10
10x = 30
Dividing both sides by 10, we get:
x = 3
Now, we can substitute this value of x back into either of the original equations to solve for y.
4x - 8y = 2
So,
4(3) - 8y = 20
12 - 8y = 20
-8y = 8
y = -1
Therefore,
The solution to the system of equations is (x, y) = (3, -1).
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Given the graph of the function y=f(x) below, draw the graph of y=f(1/2x)
Answer:
answer below
Step-by-step explanation:
parabola vertex (h,k): (-1 , 1), pass (0 , -1)
equation: y = a(x-h)² + k
-1 = a (0 - -1)² + 1
a = -2
equation: f(x) = -2(x+1)² + 1
f(1/2 x) = -2(1/2 x + 1)² + 1 ..... horizontal stretch by factor 1/2, (x , y) -> (2x , y)
WILL GIVE BRAINLIEST
Answer:
its the 2nd and the 6th one
Step-by-step explanation:
what is the difference between f(9) and f(x)=9
Answer:
Step-by-step explanation:
The f(9) means that the value of x would be 9 in any given equations or functions.
For example:
\(f(x) = 2x^{2} + 5\\f(9) = 2(9)^{2} + 5\\f(9) = 2(81) + 5\\f(9) = 162 + 5\\f(9) = 167\)
On the other hand, f(x) = 9 means that the value of a certain function is simply equal to 9.
need help thankssssss
Answer:
301.44
Step-by-step explanation:
V=π r² h
V=π (4)² (12)
V= 603.19
divide by 2 to find half full: ≈ 301
301.44
Plot and connect the points A (-4, -3), B (4, -3), C (4, -7), D (-4, -7), and find the length of AB.
A.
7 units
B.
10 units
C.
6 units
D.
8 units
hurry and ill put 5 stars for you
The length of AB is AB = 8 units.
What is distance between two points?
The length of a straight line in the coordinate plane that connects two points in space is what is referred to as their distance. We use the absolute value to calculate the distance between any two points because it is impossible for this distance to be negative.
Consider, the given points A (-4, -3), B (4, -3), C (4, -7), D (-4, -7).
We have to find the length of AB.
Consider, the distance formula,
\(d = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}\)
where,
\((x_1, y_1)\) and \((x_2, y_2)\) are the points.
Here,
\((x_1, x_2) = (-4, -3)\\(x_2, y_2) = (4, -3)\)
Plug these values in the above formula,
\(d = \sqrt{(4-(-4))^2+(-3-(-3))^2} \\d = \sqrt{8^2 +0^2} \\d = \sqrt{8^2} \\d = 8\)
Hence, the length of AB is AB = 8 units.
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A medical researcher wants to estimate the difference in the proportions of women with high blood pressure for women who use oral contraceptives versus women who do not use oral contraceptives. In an observational study involving a sample of 700 women, the researcher finds that 0.16 (16%) of the 400 women who used oral contraceptives had high blood pressure, whereas only 0.11 (11%) of the 300 women who did not use oral contraceptives had high blood pressure.
Required:
a. What is the research question of interest for this study?
b. What is the population parameter in this study? What is the appropriate statistical notation for this parameter?
c. What is the value of the sample estimate (statistic) in this study?
d. What is the appropriate statistical notation for this estimate?
Answer:
1.) Difference between the proportion of women with high blood pressure who use oral contraceptive and those who don't use oral contraceptive.
2.)
Difference between the Total proportion of women with high blood pressure who use oral contraceptives, P1 and
Total proportion of women with high high blood pressure who don't use oral contraceptive, P2
P1 - P2
3.)
Difference between the proportion of the 700 women with high blood pressure who use oral contraceptives, Phat1 and
those who don't use oral contraceptive, Phat2
4.)
Phat1 - Phat 2
0.16 - 0.11 = 0.05
Step-by-step explanation:
1.
The question the research intends to answer is : " Difference between the proportion of women with high blood pressure who use oral contraceptive and those who don't use oral contraceptive."
Population parameter will be :
Difference between the Total proportion of women with high blood pressure who use oral contraceptives, P1 and
Total proportion of women with high high blood pressure who don't use oral contraceptive, P2
P1 - P2
3.)
Sample statistic:
Difference between the proportion of the 700 women with high blood pressure who use oral contraceptives, Phat1 and
those who don't use oral contraceptive, Phat2
Phat1 - Phat 2
Karen purchased a DVD player on sale. The original selling price was $171.50. The sale price was $145.22. What is the first step in finding the percent markdown? Find the percent markdown.
Answer:
15% off
Step-by-step explanation:
Answer:
i need help go to my question from this brainly.com/question/25995862
Step-by-step explanation:
What is the slope-intercept equation of the line below?
Answer:
B y= -5/4x+3
Step-by-step explanation:
how many integer-valued solutions are there to each of the following equations and inequalities? , all , all , all , all , , all ,
a) The number of integer-valued solutions is 61, (b) the number of solutions is 62, (c) the number of solutions is 63, and (d) the number of solutions is 6.
a) The number of integer-valued solutions to x1 + x2 + x3 + x4 + x5 = 63, where all xi > 0, can be found using the stars and bars method. We want to find the number of ways to place 63 "stars" into 5 "bars", such that each bar has at least one star.
This is equivalent to the number of solutions to (x1 - 1) + (x2 - 1) + (x3 - 1) + (x4 - 1) + (x5 - 1) = 57, where all xi are non-negative integers. The number of solutions is given by the coefficient of x57 in the expansion of (x + 1)5, which is (5 + 57 - 1) choose (57) = 5 + 57 choose 57 = 61.
b) The number of integer-valued solutions to x1 + x2 + x3 + x4 + x5 = 63, where all xi ≥ 0, can be found using the same method as above. This is equivalent to the number of solutions to x1 + x2 + x3 + x4 + x5 = 63, where all xi are non-negative integers.
The number of solutions is given by the coefficient of x63 in the expansion of (x + 1)5, which is (5 + 63 - 1) choose (63) = 5 + 63 choose 63 = 62.
c) The number of integer-valued solutions to x1 + x2 + x3 + x4 + x5 ≤ 63, where all xi ≥ 0, can be found using the generating function method.
The generating function for the sequence of non-negative integers is given by (1 - x)^-1 = 1 + x + x^2 + x^3 + ... The coefficient of x^n in this series gives the number of solutions to x1 + x2 + x3 + ... + xk = n, where all xi are non-negative integers.
The coefficient of x^63 in (1 - x)^-1 is 1, and the coefficient of x^64 is 0, so there is only 1 solution where x1 + x2 + x3 + x4 + x5 = 63.
d) The number of integer-valued solutions to x1 + x2 + x3 + x4 + x5 = 63, where all xi ≥ 0, x2 ≥ 10, can be found by subtracting the number of solutions where x2 < 10 from the total number of solutions where all xi ≥ 0.
Let's call the number of solutions where x2 < 10 as S1 and the total number of solutions where all xi ≥ 0 as S2. Then, S2 - S1 = the number of solutions where x2 ≥ 10. To find S1, we use the stars and bars method as before, but now we need to place 53 stars into 4 bars since x2 must be at least 10.
The number of solutions is (4 + 53 - 1). Choose (53) = 56. To find S2, we use the generating function method as before. The number of solutions is (5 + 63 - 1). Choose (63) = 62. Thus, S2 - S1 = 62 - 56 = 6.
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--The given question is incomplete; the complete question is
"How many integer-valued solutions are there to each of the following equations and inequalities?
a) x1 + x2 + x3 + x4 + x5 = 63,all xi > 0
b) x1 + x2 + x3 + x4 + x5 = 63,all xi ≥ 0
c) x1 + x2 + x3 + x4 + x5 ≤ 63,all xi ≥ 0
d) x1 + x2 + x3 + x4 + x5 = 63,all xi ≥ 0, x2 ≥ 10"--
What are like terms? How do you combine them?
Answer:
When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.
Step-by-step explanation:
Answer:
example: 1x+2x+5y+3y
if you combine like terms you would be combining anything with a x to other x's and anything with a y to other y's.. etc..
the example combined would be: 3x+8y
hope I was able to help
Step-by-step explanation:
A biology class has a total of 47 students. The number of females is 15 less than the number of males How many males and how many females are in the class
Answer:
31 m, 16 f
Step-by-step explanation:
m + f = 47
m = f + 15
Substitute
(f + 15) + f = 47
2f + 15 = 47
2f = 32
f = 16
m + f = 47
m + 16 = 47
m = 31
X = {a, c, d, e, f, g,I}
Y = {b, c, d, e, h, i, k, l, m}
Z = {c, f, i, j, m}
Represent the above information on a Venn diagram.
Help
Answer: sorry but i need points
Answer:
Step-by-step explanation:
me too^^
find the square root of 7
The value of the square root of 7 is,
⇒ √7 = 2.645
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
WE have to given that;
To find the value of the square root of 7 .
Since, the square root of 7 is,
⇒ √ 7
⇒ 2.645
Thus, The value of the square root of 7 is,
⇒ √7 = 2.645
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Christine exercises more than 40 minutes per day.
Use t to represent Christine's amount of exercise (in minutes per day).
Answer:
t=40+
Step-by-step explanation:
I couldn't really tell what you meant by that question
Find the value of X.
Answer:
Step-by-step explanation:
2x×1=(√3)²
2x=3
x=3/2
Make a matrix A whose action is described as follows: The hit by A rotates everything Pi/4 counterclockwise radians, then stretches by a factor of 1.8 along the x-axis and a factor of 0.7 along the y-axis and then rotates the result by Pi/3 clockwise radians.
Answer:
The required matrix is\(A = \left[\begin{array}{ccc}1.07&-0.21\\-0.86&1.35\end{array}\right]\)
Step-by-step explanation:
Matrix of rotation:
\(P = \left[\begin{array}{ccc}cos\pi/4&-sin\pi/4\\sin\pi/4&cos\pi/4\end{array}\right]\)
\(P = \left[\begin{array}{ccc}1/\sqrt{2} &-1/\sqrt{2} \\1/\sqrt{2} &1/\sqrt{2}\end{array}\right]\)
x' + iy' = (x + iy)(cosθ + isinθ)
x' = x cosθ - ysinθ
y' = x sinθ + ycosθ
In matrix form:
\(\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}cos\theta&-sin\theta\\sin \theta&cos\theta\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right]\)
The matrix stretches by 1.8 on the x axis and 0.7 on the y axis
i.e. x' = 1.8x
y' = 0.7y
\(\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}1.8&0\\0&0.7\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right]\)
\(Q = \left[\begin{array}{ccc}1.8&0\\0&0.7\end{array}\right]\)
According to the question, the result is rotated by pi/3 clockwise radians
\(R = \left[\begin{array}{ccc}cos(-\pi/3)& -sin(-\pi/3)\\-sin(\pi/3)&cos(\pi/3)\end{array}\right]\)
\(R = \left[\begin{array}{ccc}1/2&\sqrt{3}/2 \\-\sqrt{3}/2 &1/2\end{array}\right]\)
To get the matrix A, we would multiply matrices R, Q and P together.
\(A = RQP = \left[\begin{array}{ccc}1/2&\sqrt{3}/2 \\-\sqrt{3}/2 &1/2\end{array}\right] \left[\begin{array}{ccc}1.8&0\\0&0.7\end{array}\right] \left[\begin{array}{ccc}1/\sqrt{2} &-1/\sqrt{2} \\1/\sqrt{2} &1/\sqrt{2}\end{array}\right]\)
\(A = \left[\begin{array}{ccc}1.07&-0.21\\-0.86&1.35\end{array}\right]\)
–11 ≥ h/13 help plz h/13 is a fraction
Step-by-step explanation:
-11 ≥ h/13
multiply both sides of the inequality by 13.
-143≥ h
Lara and Hayden volunteer at an animal shelter. Lara already volunteered 50 hours and will volunteer 5 hours more each week. Hayden already volunteered to hours and will volunteer 10 hours each week . At these rates, how many will it take Lara and Hayden to volunteer the same number of ?
There are 8 to take Lara and Hayden to volunteer the same number.
What is Mathematical expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Lara already volunteered 50 hours and will volunteer 5 hours more each week.
And, Hayden already volunteered to 10 hours and will volunteer 10 hours each week .
Now, For Lara;
⇒ 50 + 5x
And, For Hayden;
⇒ 10 + 10x
So, For same number of volunteer is,
⇒ 50 + 5x = 10 + 10x
⇒ 50 - 10 = 10x - 5x
⇒ 40 = 5x
⇒ x = 40/5
⇒ x = 8
Thus, There are 8 to take Lara and Hayden to volunteer the same number.
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given log6=0.778,find log36.
Answer:
We know that
1 ) log a^n = n log a
Now ,
log 6 = 0.7782 ----( 1 )
log 36 = log 6²
= 2 log 6
= 2 × 0.7782
= 1.5564
Help quick please look at pic to solve
The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.
Given the diagram of the hanger which one side has 10 + 5x and other side has 11.
To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.
Thus, the equation is 10 + 5x = 11.
Consider the equation 10 + 5x = 11
On subtracting 10 from each side gives,
5x = 1
Divide each side by 5 gives,
x = 1/5.
Hence, the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.
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Expand 5(2x-4) please please
Answer:
10x - 20
Step-by-step explanation:
Distribute 5 to each of the terms within the parentheses to get 5(2x) - 5(4) = 10x - 20.
What is the value of S4 for
0 554
O
64
O
(J1
14
O 516
05/0
O
56
n-1
24 (1)
n=1
?
Answer: It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.
Step-by-step explanation: