The variance of the probability distribution is 400
The Variables of X and their Probability Distribution.
To find Variance, first we should find out Mean and then Variance
The expected value of a discrete random variable X, symbolized as E(X), is often referred to as the long-term average or mean (symbolized as μ)
The variance of a probability distribution is symbolized as σ2. To find the variance σ2 of a discrete probability distribution, find each deviation from its expected value, square it, multiply it by its probability, and add the products.
Step – 1: Calculation of Mean Step – 2: Calculation of Standard Deviation= σ2=∑(x−μ)²P(x)
Mean = X * P(X) Variance = Sum of (X – Mean)²*P(X)
X P(X) X*P(X)
-50 0.029 -1.45
-30 0.121 -3.63
-10 0.210 -2.1
10 0.485 4.85
30 0.145 4.35
50 0.010 0.5
Mean 2.52
X P(X) X - Mean (X – Mean)² (X – Mean)²*P(X)
-50 0.029 -52.52 2758.35 79.99216
-30 0.121 -32.52 1057.55 127.9636
-10 0.210 -12.52 156.7504 32.91758
10 0.485 7.48 55.950 27.13594
30 0.145 27.48 755.1504 109.4968
50 0.019 47.48 2254.35 22.5435
Variance=400.00
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please help me answer this matrices question ASAP
The value of a₃₂ is 7 , Option A is the correct answer.
What is a Matrix ?Matrix is an array or an arrangement of numbers or expression in rows and column format.
The matrix is given
For a matrix of size mxn , m is the row and n is the column of the matrix.
a₃₂ = This term means 3rd row and 2nd column of the matrix
which is 7
Therefore the value of a₃₂ is 7 , Option A is the correct answer.
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A school has 320 girls and 250 boys the probity that a girl is left handed 0.2 the probity that a boy is left handed is 0.1 estimate the number of left handed students
Probability helps us to know the chances of an event occurring. The estimated number of left-handed persons in the school is 89.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given the number of girls is 320, the probability that a girl is left-handed is 0.2. Therefore, the number of girls who are left-handed is,
Number of left-handed girls = (320×0.2) = 64
Given the number of boys is 250, the probability that a boy is left-handed is 0.1. Therefore, the number of boys who are left-handed is,
Number of left-handed boys= (250×0.1) = 25
Hence, the estimated number of left-handed persons in the school is 89.
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Round to the nearest hundredth
48.849
When the outlier are removed, how does the mean change?
A.
The mean decreases by 3.
B.
The mean increased by 2.
C.
The mean increased by 3.
D.
There are no outliers.
Step-by-step explanation:
hope you can understand
A box has 1 red marble, 1 blue marble, and 4 green marbles of the same shape and size. dan draws a marble randomly from the box, replaces it, and then draws another marble randomly. what is the probability of drawing two green marbles in a row? explain your answer.
[tex]|\Omega|=6^2=36\\|A|=4\cdot3=12\\\\P(A)=\dfrac{12}{36}=\dfrac{1}{3}\approx33.3\%[/tex]
Answer: 1/5
Step-by-step explanation:
There are three kinds of Marbles. (M) marbles
(G) green: 4m
(R) red: 1m
(B) blue: 1m
Dan pulled a green marble out leaving
(G) green: 3m
So, the probability of picking a green marble is 1/5
sorry if I'm wrong/correct me if I'm wrong.
Which of the following is a ballistic stretching exercise?
A.
calf stretch
B.
arm circles
C.
yoga plow
D.
hurdle stretch
Answer:
B. Arm circles
Hope you have a great day :)
F(x)= (x-2)(x+4)(x+5)What is the sign of f on the interval -4
By evaluating the polynomial, we will see that the sign on the interval [-4, 2] is negative.
What is the sign of f on the interval [-4, 2]?Here we have the polynomial:
f(x) = (x - 2)*(x + 4)*(x + 5).
You can see that the roots of the polynomial are at:
x = 2
x = -4
x = -5.
Then, on the interval [-4, 2], the sign of the polynomial don't change. So to get the sign of f(x) on that interval we can just evaluate it in any value of x that belongs to the interval, for example, x = 0.
f(0) = (0 - 2)*(0 + 4)*(0 + 5) = -2*4*5 = -40
With this, we can conclude that the sign of f(x) on the given interval is negative.
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Answer:
always negative
Step-by-step explanation:
The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Weights of Dogs in Shelter A
2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B
Which describes the spread of the data in the two box plots?
The range of shelter A is 22. The range of shelter B is 18.
What are the measures of spread?A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. the two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number. The range is the difference between the two numbers.
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If the 6th term of an arithmetic progres- sion is 11 and the first term is 1, find the common difference.
Answer:
2
Step-by-step explanation:
An arithmetic progression with first term a and common difference d has the following first 6 terms:
a, a + d, a + 2d, a + 3d, a + 4d, a + 5d
We are given a = 1 and a + 5d = 11.
1 + 5d = 11
5d = 10
d = 2
Answer: The common difference is 2.
In the figure below not drawn to scale. DC is a tangent to the circle. DC = 6cm, AB = 5cm. Calculate BC. (3mks)
Answer:
4
Step-by-step explanation:
DA²= CB×CA
6²= y×(y+5)
36=y²+5y
y²+5y-36=0
x1+x2=-5
x1×x2=36
x1=4
x2=-9
x must be positive, then answer is 4
chek: 4×9=36
5.)(2x + 8) - (4y + 1)
6.)-5x * (3x^2 - 2x - 1)
5) 2x + 8 - 4y - 1 = 2x - 4y + 7
6) -5x(3x² - 2x - 1) = -15x³ + 10x² + 5x
Pythagorean Theorem and its Converse
I need number 6
Answer:
x = 14.02 units
Step-by-step explanation:
Finding unknown value using Pythagorean theorem:
This is an isosceles trapezium. The two perpendiculars divide the trapezium into two congruent triangles and a rectangle. Let the base of the triangle by 'y'. We can find the value of 'y' using Pythagorean theorem.
In ΔABC,
AC² = AB² + BC²
19² = 17 ² + y ²
361 = 289 + y ²
361 - 289 = y ²
y ² = 72
y =√72
y = 8.49
x = 31 - 8.49 - 8.49
x = 14.02
A researcher has a table of data with four-column variables and three-row variables. the value for the degrees of freedom in order to calculate the chi-squared statistic is __________.
The degree of freedom is 6.
What is degree of freedom?The degrees of freedom for the chi-square are calculated using the following formula: df = (r-1)(c-1) where r is the number of rows and c is the number of columns.
Given:
rows= 3
column= 4
So, degree of freedom
= (row-1)(column-1)
=(3-1)(4-1)
=2*3
=6
Hence, the degree of freedom is 6.
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Answer:
The degree of freedom is 6.
Step-by-step explanation:
Got it right on the test.
What is the initial value of the function represented by this table?
Answer: 3
________________________________
initial value = starting value when x is 0
as you can see when x is 0 y is 3
so your initial value is 3
________________________________
Hoped this helped.
The lines below are parallel. If the slope of the green line is -3, what is the
slope of the red line?
m =
Answer:
m=-3
Step-by-step explanation:
Since the lines are parallel to each other, their gradients are equal.
∴ gradient of green line = gradient of red line
∴ m = -3
Solution: slope=-3
Detailed explanation:
This little problem asks us to find the slope of the line. Let's do this!
[tex]\searrow[/tex]
This is what parallel lines look like:
<------------------------------------------------------------------------------------------------------->
<------------------------------------------------------------------------------------------------------->
The two lines above will never intercept each other.
And that's what parallel lines are - they are lines that never intercept.
They can be vertical, horizontal, or diagonal, it doesn't matter. As long as both of them have the same slope and never intercept each other.
So, since parallel lines have identical slopes, the slope of the red line = slope of the green line (the problem provides us that both lines are parallel)
Slope of the red line = -3
Voila! There's our answer!
Cheers! ^-^__________________________
Hope I helped! Best wishes!
Reach far. Aim high. Dream big.
"reflection"
__________________________
can someone help me with this question with details
Answer:
I think the answer is 5 ( if wrong then do a low rating)
Step-by-step explanation:
The way I found the answer was by using PEDMAS so first I handled [(4 - (-5)) x (-7)] which is the same as 4 + -5 which equals -1 and when multiplied by -7 equals positive 7 because whenever you multiply 2 negatives you get a positive.
Next I solved 6 / (-3) which is -2 since whenever a positive is divided by a negative the quotient is negative. Now the equation is:
-2 + 7 and when solved is -2 + 7 = 5
Kylie is ordering 9 pizzas for her party. Each pizza is either thin crust or deep dish. Each thin crust pizza costs $20, and each deep dish pizza costs $8 more. If her total including 10% tax is $242, how many thin crust pizzas did she order?
A. 2
B. 3
C. 4
D. 5
E. 8
Answer:
the answer is A. 2 thin crust pizzas
Which set of graphs can be used to find the solution set to 3e* > >-x?m
The green-colored area of the graph attached below shows the solution set to 3eˣ>(-1/2)x.
Inequality is the relationship between two expressions showing the relationships like greater than, lesser than, lesser than equals to, and greater than equals to.
Here assume f is a function which is given by f(x)=3eˣ
and g be another function which is given by g(x)= (-1/2)x
Here we have to find the solution graph showing the relationship
f(x) > g(x)
Let at point (a,b) the f(x) and g(x) meet each other.
After that intersection point, g(x) will decrease as g(x) is a decreasing function. and f(x) will increase.
So in the solution set will contain the area where g(x) is larger than f(x).
Therefore the solution graph of this inequality is the green-colored area as shown below,
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Which of the following expressions are equivalent to - -13/12
A. -13/-12
B. 13/-12
C. None of the above
If is -(-13/12) then A. -13/-12
If is -13/12 then B. 13/-12
[tex]-\dfrac{-13}{12}=\dfrac{-13}{-12}=\dfrac{13}{12}\\\\\dfrac{-13}{12}=-\dfrac{13}{12}=\dfrac{13}{-12}[/tex]
Help please, can someone answer.
Answer:
QA) C = 31.4 cm, A = 78.5 cm^2
QB) 36 cm
Step-by-step explanation:
Question A
Circumference formula: 2πr
2π(5) = 31.4 cm
Area formula: πr^2
π(5)^2 = π(25) = 78.5 cm^2
Question B
If you extend the line of the shape to create a quadrilateral and a triangle, you can use the pythagorean theorem to figure out the last length.
9 - 6 = 3
10 - 6 = 4
The lengths of side a and b are 3 and 4, we need to find the length of the hypotenuse
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
5 = c
Now we can combine this number with the rest of the given lengths
10 + 9 + 6 + 6 + 5 = 36 cm
Y = 3x + 10
Y = 2x - 8
find the substitution
Show your work please ill give brainlyest
Answer:
x = -18, Y = -44
Step-by-step explanation:
Since Y = 2x - 8, we can substitute that into the first equation:
2x - 8 = 3x + 10
3x - 2x = -8 - 10
x = -18
Now we plug x = -18 back into the second equation:
Y = 2(-18) - 8
Y = -36 - 8
Y = -44
4. Solve: 8−2n−6n=−16
A. n=11
B. n=9
C. n=10
D. n=3
Answer:
D. n=3
Step-by-step explanation:
8-2n-6n= –16
Take 8 to the other side
-2n-6n= -16-8
Solve them
-8n = -24
Take -8 to the other side
[tex]n \: = \frac{ - 24}{ - 8} [/tex]
n = 3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{8 - 2n - 6n = -16}[/tex]
[tex]\huge\textbf{Solving for the answer:}[/tex]
[tex]\mathbf{8 - 2n - 6n = -16}[/tex]
[tex]\huge\textbf{Combine the like terms:}[/tex]
[tex]\mathbf{(-2n - 6n) + 8 = -16}[/tex]
[tex]\mathbf{-2n - 6n + 8 = -16}[/tex]
[tex]\mathbf{-8n + 8 = -16}[/tex]
[tex]\huge\textbf{Subtract \boxed{\bf 8} to both sides:}[/tex]
[tex]\mathbf{-8n + 8 - 8 = -16 - 8}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{-8n = -16 - 8}[/tex]
[tex]\mathbf{-8n = -24}[/tex]
[tex]\huge\textbf{Divide \boxed{\bf -8} to both sides:}[/tex]
[tex]\mathbf{\dfrac{-8n}{-8} = \dfrac{-24}{-8}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{n = \dfrac{-24}{-8}}[/tex]
[tex]\mathbf{n = -24 \div -8}[/tex]
[tex]\mathbf{n = 3}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\textsf{Option D. \boxed{\frak{n = 3}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Do the fractions and convert to repeating or terminating decimal numbers?
It should be noted that 16/25 can be converted to a terminating decimal number is 0.64.
How to explain the fraction?
Do the fractions 6/7 and 16/25 convert to repeating or terminating decimal numbers.
In this case, 6/7 converts to repeating decimal numbers. You could represent it, so you don't have to repeat the decimals infinitely, by putting a bar over the repeating decimals like 0.857142 with a bar going over from the 8 to the 2.
Also, 16/25 can be converted to a terminating decimal number which is 0.64.
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X^2 - 10x - 20 = 0, which number would have to be added to "complete the square"?
Answer:
45
Step-by-step explanation:
When you're completing the square you're adding (b/2)^2 which in this case is (-5)^2 or 25. This is because when you rewrite it as a square binomial you write it in the form (x+(b/2))^2 which is going to result in x^2+b+(b/2)^2. Since you need to reach 25 you need to add 45 since the last value is at -20.
Answer:
25 to both sides
Step-by-step explanation:
Group x² and x terms
(x² - 10x ) - 20
complete the square
(x² - 10x +25 ) -20 -25
(x-5)² -45
A Triangle
36 cm
perimeter
square
=40cm
perimeter
put them both together
find the
perimeter?
Answer:
58 cm
Step-by-step explanation:
if both shapes are squares, then the perimeter must be divide by all 4 equal sides
36 / 4 = 9, so each side of the first shape is 9 cm
40 / 4 =10 , so each side of the second shape is 10 cm
by putting the shapes together two of the side seal 1 side of each shape but 10-9 is 1 so add all three sides of the rest of the shape,
so 9+ 9+ 9= 27, then the three side of the second shape,
so 10+ 10+ 10= 30, then that extra 1 cm of difference from the size difference when put together,
so 27+ 30+ 1= 58 cm
HELPPP i need to find standard form and general form, please help
The equation in slope-intercept form is y = 13/8x -17/8 and the equation in standard form is 13x -8y = 17
Equation of a line
A line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b while as a standard notation is Ax+By = C
Given the coordinate points (-3, -7) and (5, 6)
Determine the slope
Slope = 6-(-7)/5-(-3)
Slope = 13/8
For the y-intercept
6 = 13/8(5) + b
6 = 65/8 + b
b = 6 - 65/8
b = -17/8
The equation in slope-intercept form is y = 13/8x -17/8
Write in standard form
Recall y = 13/8x - 17/8
Multiply through by 8
8y = 13x - 17
-13x + 8y = -17
13x -8y = 17
Hence the equation in standard form is 13x -8y = 17
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What is the first step to solving the function below?
Answer:
option B, -(4x - 3)(x - 2)
Step-by-step explanation:
-4x^2 + 11x - 6
4x * x = 4x^2
x * -3x = -3x
-4x * -2 = -8x
-3 * -2 = -6
PLEASE HELP
If the discriminant of an equation is zero, which of the following is true of the equation?
A. It has one complex solution
B. It has two complex solutions
C. It has one real solutions
D. It has two real solutions
Considering the discriminant of zero for a quadratic equation, the correct option is given by:
C. It has one real solutions.
What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The discriminant is:
[tex]\Delta = b^2 - 4ac[/tex]
The solutions are as follows:
If [tex]\mathbf{\Delta > 0}[/tex], and it is a perfect square, it has 2 rational solutions.If [tex]\mathbf{\Delta > 0}[/tex], and it is not a perfect square, it has 2 irrational solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has 1 rational solutions.If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.Discriminant of zero is [tex]\Delta = 0[/tex], hence option C is correct.
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what value of x makes this equation true , use numerals instead of words.
-2x+3=-15
Answer:
x = 9
Step-by-step explanation:
-2x + 3 = -15
-2x = -18
x = 9
Answer:
9Step-by-step explanation:
what value of x makes this equation true , use numerals instead of words.
-2x+3=-15
-2x + 3 = -15
-2x = -15 - 3
-2x = -18
x = -18 : (-2)
x = 9
--------------------
check
-2 * 9 + 3 = -15
-18 + 3 = -15
-15 = -15
the answer is good
8. If a conditional is true and its hypothesis is true, then its_____ is true.