If the die is rolled then the probability of the roll is a prime number is [tex]\frac{4}{10}=\frac{2}{5}[/tex]. The probability that the same number would appear twice on the dice is [tex]0.01[/tex], and the expected value of the roll is [tex]5.5[/tex].
How would you define expected value?Expected value (EV), which is based on a random variable's probability distribution, describes the long-term average level of that variable. The expected value of a stock or other investment is a crucial factor in investing and is taken into account while performing scenario analysis. The anticipated value is an extension of the weighted average in probability theory. Informally, the anticipated value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen. Find the anticipated value by [tex]E(X)[/tex]. Simply multiply each value of the discrete random variable by its probability, then add the results to get the value, or mean, of the random variable. The equation is provided as [tex]E(X)[/tex]=μ=Σ[tex]XP(X)[/tex]. Expected value is calculated by multiplying each outcome's value by the probability.
Total Number of outcomes is [tex]10[/tex]. And the number of prime number is [tex]4 \ \ i.e.\ (2,3,5,7)[/tex]. So the probability of a prime number is [tex]\frac{4}{10}=\frac{2}{5}[/tex]
The expected value is ×[tex]XP(X)= 0*\frac{1}{10}+1 * \frac{1}{10} + 2*\frac{1}{10} +3*\frac{1}{10} +4*\frac{1}{10} +5*\frac{1}{10} +6*\frac{1}{10} +7*\frac{1}{10} +8*\frac{1}{10} +9*\frac{1}{10} \\ =0+\frac{1}{10}+\frac{2}{10}+\frac{3}{10}+\frac{4}{10}+\frac{5}{10}+\frac{6}{10}+\frac{7}{10} +\frac{8}{10}+\frac{9}{10} \\ =\frac{1+2+3+4+5+6+7+8+9}{10}=\frac{55}{10}=5.5[/tex]
If the dice is rolled twice the probability that the same number is obtained is [tex]\frac{1}{10}*\frac{1}{10}=\frac{1}{100}=0.01[/tex]
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Evaluate -4x + 6 when x = 3
Answer:
-6
Step-by-step explanation:
subsitute 3 for x and solve
Answer:
Step-by-step explanation:
-4X + 6 when X= 3
= -43 + 6 which would give you -37.
If Elena eats 2 servings of granola , how many calories dose she eat?
Answer:
However much calories 1 granola has it would be times 2
Step-by-step explanation:
Answer: 264 calories.
Step-by-step explanation:
Each serving has 132 calories.
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I have no idea how to do this!
Write 0.4% as a fraction or mixed number in simplest form. I give brainliest.
Answer:
4 / 1000
Step-by-step explanation:
PLEASE HELP!!!
In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint
of BC. If m
of ZCAD?
Answer:
The measure of ∠CAD is 69°
Step-by-step explanation:
In ΔABC
∵ D is the mid-point of AB
∵ E is the mid-point of BC
∴ DE is parallel to AC
→ From parallelism
∵ DE // AC
∴ m∠EDB = m∠CAD → corresponding angles
∵ m∠EDB = 83 - 7x
∵ m∠CAD = 7x + 55
→ Equate them
∴ 7x + 55 = 83 - 7x
→ Add 7x to both sides
∵ 7x + 7x + 55 = 83 - 7x + 7x
∴ 14x + 55 = 83
→ Subtract 55 from both sides
∵ 14x + 55 - 55 = 83 - 55
∴ 14x = 28
→ Divide both sides by 14
∴ x = 2
→ To find m∠CAD, substitute x by 2 in its measure
∵ m∠CAD = 7(2) + 55
∴ m∠CAD = 14 + 55
∴ m∠CAD = 69°
∴ The measure of ∠CAD is 69°
Explain the similarities between a scientific law and a scientific theory.
Answer:a scientific law is the description of an observed phenomenon. It doesn't explain why the phenomenon exists or what causes it. The explanation of a phenomenon is called a scientific theory. It is a misconception that theories turn into laws with enough research.
Step-by-step explanation:
What is the perimeter, in feet, a rectangle whose length is twice its width and whose width is 8 feet?
Can anyone help with thisss
a2+14a+49 please help me
Amy is putting a new floor in her bathroom. She created a scale drawing of her bathroom floor using a scale of 1/3 inch= 1 foot. In the drawing, the bathroom measure 3 inches by 3 1/3 inches. Amy is purchasing squares tiles that measure 1/3 foot on each side. The cost of each tile is $3.00. How much will Amy pay for the tiles for bathroom floor
Answer:
$2,430
Step-by-step explanation:
Scale of the drawing = ⅓ in. to 1 ft
Measurement of the bathroom on paper = 3 in. by 3⅓ in.
Actual measurement of the bathroom:
3*3 = 9 ft
3⅓ * 3 = 10 ft
Area of the bathroom = 9*10 = 90 ft²
Let's find how many square tiles would cover 90 ft².
The side length of 1 tile is said to be ⅓ ft.
Therefore, the area of 1 tile would be ⅓*⅓ = ⅑ ft².
Number of tiles that would cover 90 ft² would be:
90/⅑ = 90*9
= 810 tiles
If 1 tile cost $3.00, therefore 810 tiles would cost:
810 * 3 = $2,430.
Step-by-step explanation:
Describe each part of the complex number:
-5-i
Answer:
Real Part = -5
Imaginary part = -1
Step-by-step explanation:
We need to describe each part of the complex number: [tex]-5-i[/tex]
Complex Number
A complex number is of form [tex]a+bi[/tex] where a is real part while b represents the imaginary unit.
In the given complex number: [tex]-5-i[/tex]
Real Part = -5
Imaginary part = -1
50 x 2 x 34 x5 who has insta if so what is it and btw you dont have to answer this
i will mark branilest
Answer:can i get brainliest lol
Step-by-step explanation:
Can anyone help me please??? Almost done Thank you!!
Answer:
you might’ve already answered this but it’s 65
Step-by-step explanation:
the two sides in a triangle have to be congruent so if one angle is 65, the other has to be 65 too :)
Answer:
65
Step-by-step explanation:
the given triangle is an isoceles triangle and opposite angles of opposite equal sides of isosceles triangle are equal
How much simple interest is earned on $4,000 at an interest rate of 2.25% in 4.5 years? Rounded to the nearest cent
Answer:
I = Prt
Step-by-step explanation:
I = 4000(.0225)(4.5)
I = $405
3. The diagonal of a rectangular field is 169 m. If the ratio of the length to the width is 12:5, find the:
(a) dimensions;
(b) perimeter of the field.
The dimensions are 156m and 65m
The perimeter is 442m.
What are the dimensions?The formulae that can be used to determine the dimensions when the ratio of the dimensions are given and the diagonal is given are:
h = [tex]\frac{H}{\sqrt{ 1 + r^{2} } }[/tex]
w = [tex]\frac{Hh}{\sqrt{ 1 + r^{2} } }[/tex]
Where:
h = height H = hypotenuse r = ratio of width to the height : 5/12 = 0.41667w = widthh = [tex]\frac{169}{\sqrt{ 1 + 0.41667^{2} } }[/tex] = 156m
w = [tex]\frac{(169 x 156)}{\sqrt{ 1 + 0.41667^{2} } }[/tex] = 65m
The perimeter of a rectangle = 2(length + width)
2(156 + 65)
2(221) = 442m
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A grocery store clerk put only packages of flour tortillas and packages of corn tortillas on a shelf. The ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16. Which number could represent the number of packages of flour tortillas the clerk put on the shelf?
Answer: 18
Step-by-step explanation:
The options are:
A. 23
B. 18
C. 14
D. 32
Since we are told that the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16. This simply means that the ratio of flour tortillas to the total number of packages on the shelf was (16 -7 = 9) 9 to 16.
Therefore, to get the number that could represent the number of packages of flour tortillas the clerk put on the shelf we have to find the multiple of 9 in the question given . This will be:
Multiples of 9 = 9, 18, 27, 36, 45 ....
Based on the option, the answer will be 18.
Which transformation will carry a regular octagon onto itself?
Answer:
you have to move it to an adjacent side. hope this helped have a nice day:)
Start at -3, facing right Take 4 steps forward Take 22 steps backward Turn to face left Take 25 steps backward
What integer represents its final position?
The computation shows that the final integer is -44.
How to compute the value?Fron the information, it was stated that Start at -3, facing right Take 4 steps forward Take 22 steps backward Turn to face left Take 25 steps backward
The appropriate integer will be:
= -3 + 4 - 22 - 25
= -46
The final integer is -44.
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Which expression has an equivalent value to x^2 + 9x +8 for all values ofx?
O (x+ 1)(x+8)
O (x+2)( x+6)
O (x+ x4)(x+ 4)
O (x+5)(X + 4)
The answer would be the first option (x+1)(x+8). You would use the foil method, which will give you the equivalent value of the expression.
Hope this helped
(x+1)(x+8) is the expression which has an equivalent value to x² + 9x +8 for all values of x.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is x² + 9x +8.
We have to find the equivalent expression to the expression x² + 9x +8.
Let us use the factorized form of the expression.
x² + 9x +8.
x² + 8x+x+8
Take common terms and factorize
x(x+8)+1(x+8)
(x+1)(x+8)
Hence, (x+1)(x+8) is the expression which has an equivalent value to x² + 9x +8 for all values of x.
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if a = 6, evaluate the following expression: 36/3a
Answer:
2
Step-by-step explanation:
1) substitute a=6 into 36/3a:
36/3×6
2) calculate: 36/3×6 ->2
can someone do b and c? or just one
what is the linear equation of a line that goes through (3,5) and (5,9)
Answer:
[tex]y=2x-1\\[/tex]
Step-by-step explanation:
[tex]m=\frac{y_{2}-y_{1}}{x_1-x_2} \\m=\frac{9-5}{5-3}\\m=\frac{4}{2}\\m=2\\y-y_{1}=m(x-x_{1})\\y-9=2(x-5)\\y-9=2x-10\\y=2x-1[/tex]
20 points
if anybody knows anything about finding like the internal domain and if the function is decreasing please add me on snap I really need the help thankyou
Answer:
awesome 100✓jjjjjjjjjjj
Write an expression that uses subtraction and division that has a value of 3.
Answer:
12/2-3
Step-by-step explanation:
12/2-3
Answer:
12/2-3
Step-by-step explanation:
12/2-3
55% of the cookies Joelle bake had chocolate chips is the wild baked 77 cookies with chocolate chip cookies baking cakes
I plan on opening a savings account with $500 and leaving it in the account for 2 years. If the bank is going to pay me an interest rate of 3%, how much money will I have in the account at the end of 2 years?
Answer:
Future Value= $530.45
Step-by-step explanation:
Giving the following information:
Initial investment (PV) = $500
Number of periods (n) = 2 years
Interest rate (i)= 3% = 0.03
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1+i)^n
FV= 500*(1.03^2)
Future Value= $530.45
Answer:
The answer is c
Step-by-step explanation:
1. Which of the following linear equations has a negative slope? Circle all that apply. A. y = 2x – 5 B. y = 4– 7x C. y=-3 D. X = -1 E. y=-5/4x+2 F. y=1/2x-2
Answer:
C) y= -3, D) x= -1, E y= -5/4x +2
Step-by-step explanation:
Which of the following points is a solution for the following system of inequalities?
A.(0,6)
B.(4, 2)
C.(-5, 1)
D.(3, 4)
Match each graph with the correct equation from the equation bank. not all equations will be used
The equations for the given graphs respectively are y = (-1/3)x + 3, y = (1/3)x + 1, y = -3x, and y = x + 3.
The line in the first graph passes through the points (0, 3) and (3, 2).The equation of the line is :(y - 3) = [(2 - 3)/(3 - 0)](x - 0)y - 3 = (-1/3)xy = (-1/3)x + 3The line in the second graph passes through the points (0, 1) and (3, 2).The equation of the line is :(y - 1) = [(2 - 1)/(3 - 0)](x - 0)y - 1 = (1/3)xy = (1/3)x + 1The line in the third graph passes through the points (0, 0) and (1, -3).The equation of the line is :(y - 0) = [(-3 - 0)/(1 - 0)](x - 0)y = -3xThe line in the fourth graph passes through the points (-3, 0) and (0, 3).The equation of the line is :(y - 0) = [(3 - 0)/(0 - (-3))](x - (-3))y = x + 3To learn more about equations, visit :
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Use what you know to try to solve the problem below. A scientist is using a tracking device to measure how fast a blue whale swims. Data from the device show that the whale swam at a constant rate for 5 minutes and covered 2.5 miles in that time. Make a graph showing the change in the whales distance over time. How far does the blue whale swim in 1 minute? this 25 mi: 5
The graph showing the change in the whales distance over time is given by y = 0.5x
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers.
The standard form of a linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept.
Let y represent the total distance covered for x minutes.
Let the constant rate be m miles per minute. The whale swam at a constant rate for 5 minutes and covered 2.5 miles in that time. Hence:
2.5 = 5(m)
m = 0.5 miles per minute
y = 0.5x
In 1 minute:
y = 0.5(1) = 0.5 miles
The graph is given by y = 0.5x
The graph of the amount of money that River Run Canoes have a y intercept of 10 and slope of 10.
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