Based on the probability distribution of a random variable "q" which goes as,
Value of "q" Probability
0 0.22
1 0.21
2 0.257
The standard deviation of "q" will be
As per the question statement, we are provided with a probability distribution of a random variable "q" which goes as,
Value of "q" Probability (P)
0 0.22
1 0.21
2 0.57
We are required to determine the standard deviation of "q"
From the question mentioned table,
Expected value (qₙ) of random variable = [(q₁ * P₁) + (q₂ + P₂) + (q₃ + P₃)]
= [(0 * 0.22) + (1 * 0.21) + (2 * 0.57)] = 1.35
Therefore, Variance (V) of the random variable = ∑[P * (q - qₙ)²]
= [{0.22 * (0 - 1.35)²} + {0.21 * (1 - 1.35)²} + {0.57 * (2 - 1.35)²}]
= [{0.22 * (-1.35)²} + {0.21 * (-0.35)²} + {0.57 * (0.65)²}]
= [(0.22 * 1.8225) + (0.21 * 0.1225) + (0.57 * 0.4225)]
= (0.419175 + 0.025725 + 0.240825)
= 0.686265
Finally, Standard Variance of the variable "q" = √V
= √(0.686265)
= 0.8284
≈ 0.83
Standard Deviation: In Statistics and Probability Theory, the standard deviation is the average amount of variability in a dataset, i.e., It tells us, on average, how far each value in the set lies from the mean.To learn more about Standard Deviation, click on the link below.
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You have $84.25. You earn additional money by mowing lawns. Then you
purchase a new pair of shoes for $75.49 and have $63.76 left. How much
money do you earn mowing lawns?
Answer:
55.00
Step-by-step explanation:
basically I subtracted 84.25 from 75.49 and I got 8.76. So I too kthat answer and subtracted 8.76 from 63.76. So the answer is 55.00
Write in terms of i.
Simplify your answer as much as possible.
√-144
Answer:
12i
Step-by-step explanation:
√-144 = 12i
12i × 12i = -144
What rational number represents a drop of 4/14
The rational number that represents a drop of 4/14 is given by:
-4/14.
What are rational and irrational numbers?Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts(also called whole numbers), or numbers in which the decimal parts are terminating or repeating with a pattern.Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots or the number pi = 3.1415....Rational numbers can be either positive or negative, and in the context of this problem, we have that:
A rise of x is represented by the positive rational number x.A drop of x is represented by the negative rational number x.Hence the negative rational number that represents a drop of 4/14 is given by:
-4/14.
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can you help me with this please? Sara has 6 pounds of jelly beans to fill Easter treat bags. Each bag will contain 1\4 of a pound of jelly beans. Does Sara have enough jelly beans to fill 28 treat bags?
No, 24 bags are sufficient for jelly beans.
What is division?something that partitions or separates. a dividing line or mark; something that denotes a division. a division of anything into one or more segments; section. Dissension is the separation caused by differences in feeling or thought. Multiplication is the opposite of division.
According to question,
Sara have 6 pounds of jelly beans.
and one bag contains 1/4 of a pound of jelly beans
hence,
6 ÷ ¼ = 6×4 = 24
She has enough for 24 bags
Not sufficient for 28 bags.
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Which graph best represents -2y =4x - 8 ? ASAP like RIGHT NEOW
The equation - 2y = 4x - 8 in slope intercept is y = - 2x + 4.
Consider the function,
- 2y = 4x - 8
The equation of a line in slope intercept form is y = mx + b where m is the slope and b is the y-intercept.
So,
- 2y = 4x - 8
y = - 2x + 4
Now,
When x = 0
y = - 2(0) + 4 = 4
When x = 1,
y = - 2(1) + 4 = 2
When x = 2,
y = - 2(2) + 4 = 0
When x = - 1,
y = - 2( - 1 ) + 4 = 6
When x = - 2,
y = - 2( - 2 ) + 4 = 8
When x = 3,
y = - 2( 3 ) + 4 = - 2
So, the point on the graph are ( 0, 4 ), ( 1, 2 ), ( 2, 0 ), ( 3, - 2), ( - 1, 6 ), ( - 2, 8 ).
Therefore, the graph of the function is:
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PLEASE HELP I CANT LET MY GRADES GET ANY LOWER!!!
Which is the BEST next step for solving the inequality shown?
14 > x + 7(x+1) -1
14 > x + 7x + 7 -1
A. Subtract x from both sides of the inequality.
B. Subtract 7 from both sides of the inequality.
C. Combine the like terms on the right-hand side of the inequality.
D. Add 1 to both sides of the inequality.
The next step is Add 1 to both sides of the inequality.
what is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.
Given:
14 > x + 7(x+1) -1
14 > x + 7x + 7 -1
now, Add 1 to both sides of the inequality.
14+ 1 > x+ 7x + 7- 1 +1
15> x+ 7x +7
again, Subtract 7 from both sides of the inequality.
15 - 7 > x+ 7x + 7 -7
8 > x+ 7x
and, 8 > 8x
1>x
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What is the answer??
Answer(0,-1)(1,2)
the line passes through thees two points
Step-by-step explanation:
i hope this helped
have a great day ^^
Help I NEED HELP PLEASE
Answer:
angle X =80°
angle V = 30°
X NUMBER SYSTEM - 1/10 Which of the following expressions has a value that is less than -3? Select all that apply. You A) -4 + 8 B) 4-8 C) -7 - (-1) D) 5 + (-6) E) 9 - (-8)
B and C
Subtracting a negative is adding
a certain forest covers an area of . suppose that each year this area decreases by . what will the area be after years? use the calculator provided and round your answer to the nearest square kilometer.
The area after 15 years is 517.40km²
What is an area?It is the quantity that expresses the content of the region on the plane or on a curved surface. Area is the size of the surface that can be calculated. It is the amount of space occupied by a two-dimensional figure. It is the quantity that measures the unit of squares. We get the area of the rectangle by multiplying length and width. The area of the figure is counted by the area of unit squares. It determines the area of the number of common shapes, including rectangle, trapezoid, circle, sector, ellipse etc.
y = A(1 - r)t
where,
A = initial area
r = rate
y = 1600(1 - 0.0725)
y = 1600[tex](0.9275)^{t}[/tex]
here we put t=15, then we get
y=1600[tex](0.9275)^{15}[/tex]
y=517.40 km²
Therefore, the area after 15 years is 517.40km²
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"https://www.wyzant.com/resources/answers/224267/a_certain_forest_covers_an_area_of_1600_km2_suppose_that_each_year_this_area_decreases_by_7_25_what_will_the_area_be_after_15_years"
Moana is inviting 6 friends to a party. Each friend wants 5 cookies and each box has 12 cookies.
Answer:
2.5 Boxs (3 boxes rounded)
Step-by-step explanation:
Moana has 6 friends and each wants 5 cookies
We multiply 6 times 5 and get 30.
30/12 is 2.5 meaning Moana will need 2 and a half boxes of cookies, or rounded up 3 boxs
In this diagram, lines AB and CD are parallel. D B Angle ABC measures 35 degrees and angle BAC measures 115 degrees. a. What is m ZACD b. What is mZDCB c. What is mZACB
|CD| is parallel to |AB|
[tex]\angle ACD=\angle ACB+\angle DCB[/tex][tex]\begin{gathered} ACBisatriangle.Thesumofanglesinatriangleis180^o. \\ \angle ACB+\angle ABC+\angle BAC=180^o \\ \angle ACB=180^o-35^o-115^o \\ \angle ACB=30^o \end{gathered}[/tex]Also;
[tex]\begin{gathered} S\text{ ince CD and AB are parallel;} \\ \angle DCB=\angle ABC\text{ (because alternate angles are equal)} \\ \angle DCB=35^o \end{gathered}[/tex][tex]\begin{gathered} \angle ACD=\angle ACB+\angle DCB \\ \angle ACD=30^o+35^o \\ \angle ACD=65^o \end{gathered}[/tex]ANSWERS:
(a) The measured angle ACD is 65degrees
(b) The measured angle DCB is 35degrees
(c) The measured angle ACB is 30 degrees
Is 8 a rational number integer or whole number
Answer:
8 is a rational number, an integer, and a whole number.
Step-by-step explanation:
rational numbers are numbers that repeat with a definite pattern, and/or terminate (finite amount of decimal points)
Answer: intager and whole number
Step-by-step explanation:
Ratianal number =Any number that can be written as a ratio (or fraction) of two integers
Intager=An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
Whole number=The numbers that include natural numbers and zero. Not a fraction or decimal
divide n^3+15v^2+56n by n+8
Answer:
n^3 + 15v^2 + 64
Step-by-step explanation:
Hope this helps
Answer:
n^3 + 15v^2 + 64
Step-by-step explanation:
This is the correct answer I believe
Find the quotient of 1 5 6 ÷ 2 1 8 Give your answer as a fraction in its simplest form.
78/ 109 is approximately equal to 0.71559
you can check your calculator to know the decimal form.
hope it's helpful!
drag the tiles to the correct boxes to complete the pairs. determine weather each pair of lines is perpendicular parallel or neither.
First, remember these two affirmations:
Two parallel lines have the same slope
Two perpendicular lines have the inverse slope, the slope of each one is multiplied by -1
So
We can see in the second option that equation one has the same slope that equation two except that the equation is multiplied by -1. So there are 2 perpendicular lines
In the third option, we can see the same slope in the two functions so is parallel
Finally, the first option doesn't have any relationship.
Calculate the area of parallelogram ABCD.
(-5, 2)
D
(-2,3)
A
E
(-3, 1)
C
(1.-1)
(4,0)
B
The area of the parallelogram ABCD is 15 square units and is calculated using the distance formula and parallelogram area formula.
As per the question statement, coordinates of points A, B, C, D and E are given as follow:
A(-2,3), B(4,0), C(-3, 1), D(-5, 2) and E(-3, 1).
The parallelogram's area is the product of its base and height.
Base can be calculated using distance formula in points A and E
AE = √[(-3+2)^2 + (1-3)^2]
AE = √[(-1)^2 + (-2)^2]
AE = √[1+4]
AE = √5 units
Height can be calculated using the distance formula in points A and B
AB = √[(4+2)^2 + (0-3)^2]
AB = √[(6)^2 + (-3)^2]
AB = √[36 + 9]
AB = √45 units
Hence area of parallelogram = AB * AE
Area = √45*√5
Area = √225
Area = 15 sq units.
Hence, The area of the parallelogram ABCD is 15 square units and is calculated using the distance formula and parallelogram area formula.
Area: The area is the space occupied by any object, shape or body, be it 2D or 3D and is in square units.Parallelogram: A unique variety of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.To learn more about area & parallelogram, click on the link given below:
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Which expression best estimates -18 -
O 18-3
-18-3
O -18-(-3)
O 18-(-3)
Answer:
b
Step-by-step explanation:
-18 1/4 rounds to -18.
2 2/3 rounds to 3.
Answer: b
What is the square root of 1648474/737494
Write the amount in standard scientific notation. 6E 5 petabytes
The scientific notation it can be written as 6 x [tex]10^5[/tex] petabytes.
What is Scientific notation?A given number, equation, or expression is written in a format known as a scientific notation, which adheres to a set of principles. Large numbers like 8.6 billion are difficult to write in their numerical form since they are not only unclear but also time-consuming, and there is a potential that we may write a few zeros more or less. So, we utilise scientific notation to clearly describe extremely large or extremely small integers.
Given:
6E 5 petabytes
Now, we have to write the above number in scientific notation.
Now, the E generally represents the exponents raise to some power.
6E 5 petabytes
= 6 x [tex]10^5[/tex] petabytes
Hence, in scientific notation it can be written as 6 x [tex]10^5[/tex] petabytes.
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6.) Find the radius of a circle with a circumference of 36(3.14) inches.
12 Apple trees and 29 orange trees and a cherry tree what is the ratio of Apple trees to orange trees
Answer: 12:29
Step-by-step explanation: 12 apples to 29 orange trees. no need to simplify. 29 is a prime number.
7. Find JL.
K #
M
J
N
5x – 16
#
4x + 34
L
The required side JL = 234 .
What is congruence of triangle ?Triangles that are congruent share the same size and shape. Triangles ABS and CDF in the figure below are congruent because their side lengths and angle measurements match.
After proving congruence of a triangle the corresponding part of these triangles will be equal .
Since we don't have any relation between Δ KMN and ΔKJL
Now in Δ KMN and ΔKJL
∠ MKN = ∠JKL { common angle }
KM = MJ { given that these two sides are equal }
KN = NL { given that these two sides are equal }
Thus from SAS congruence Δ KMN ≅ ΔKJL
Thus from CPCT ( corresponding parts of congruent triangles ) ,
5x - 16 = 4x + 34
x = 50
JL= 4 x + 34 = 234 .
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joanne has 300 sweets
she gives 1/2 of the sweets to erin
joanne then gives 1/3 of the remaining sweets to bob
how many sweets does joanne has left?
Desiree has $256 in her savings account she adds X dollars in her savings account on Friday if x equals $50.25 write an expression to find the amount of money in Desiree's account . how would we write that in an expression
We were told that Desiree has $256 in her savings account she adds X dollars in her savings account on Friday. Thus, the expression for the amount of money in Desiree's account is
256 + x
if x equals $50.25, then the amount of money in her account is expressed as
256 + 50.25
= $306.25
write y+1=-2(x-3) in slope intercept form
im not sure but i believe this is right i hope this helps
Jimmy ran 20 meters west from home and then turned north to jog 25 meters. jimmy ran 45 meters, but could have arrived at the same point by jogging in a straight line. how many meters could he have jogged using a straight line distance? responses 3.5 meters 3.5 meters 7 meters
Using the Pythagorean Theorem, it is found that using a straight line distance, he could have jogged 32 meters.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the equation presented as follows:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In the context of this problem, the sides of the triangle are given as follows:
20 meters west = 20 meters to the left.25 meters north = 25 meters up.Hence the distance that he could have jogged is the hypotenuse of the right triangle, calculated as follows:
d² = 20² + 25²
d = sqrt(20² + 25²)
d = 32 meters.
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20 POINTS I NEED HELP ASAP!
Answer:
slope = [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = [tex]\frac{1-(-1)}{3-(-2)}[/tex] = [tex]\frac{1+1}{3+2}[/tex] = [tex]\frac{2}{5}[/tex]
In an experiment, 60 drawing pins were thrown. 42 landed point up, the rest point down. a). What is the experimental probability of a drawing pin landing up
Answer:
jhikuk
Step-by-step explanation:
Tenisha works 40 Hours. A week
And earns $550 per week At Here
Job. The Company Gives Tenisha
A Raise, Now She earns $634 Per week.
How much Is Tenisha's Rais Per Hour?
Answer:
15.85
Step-by-step explanation:
if you take and divide 634 by the 40 hours she works you get 15.85 also doing 550/40 gives you 13.75 to find the difference if you need it subtract 15.85-13.75= 2.1
