If B + BB is normal random Variable. a a Then (a + b B₂ ~ N (0, belt-s) +(arby's) b Be (1) then the probability P(5B₂ - 3 < 1) is approximately 0.57142.
To calculate this probability, we first need to find the standard deviation (σ) of the random variable 5B₂ - 3. B₂ is a standard normal random variable (mean = 0, variance = 1), the standard deviation of 5B₂ - 3 can be calculated as √((5²)(1) + (-3)²) = √(25 + 9) = √34 ≈ 5.83095.
Next, we convert the inequality 5B₂ - 3 < 1 into a standard normal distribution. Subtracting 3 from both sides gives us 5B₂ < 4, and dividing both sides by 5 yields B₂ < 4/5 = 0.8.
Now, we calculate the z-score for B₂ = 0.8 using the formula z = (x - μ) / σ, where x is the value (0.8), μ is the mean (0), and σ is the standard deviation (5.83095). Thus, z = (0.8 - 0) / 5.83095 ≈ 0.13723.
To find the probability, we look up the corresponding z-score in the standard normal distribution table. P(Z < 0.13723) is approximately 0.57142.
Therefore, the probability P(5B₂ - 3 < 1) is approximately 0.57142.
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Complete Question:
B + BB is normal random Variable. a a Then (a + b B₂ ~ N (0, belt-s) +(arby's) b Be (1) P (5&₂ - 3 < 1) = ? +=3, 5= 2₁ 6=5, a=-; 1 S= Van (56-36 ) = 25 +2²= 29. P/5B₂-3B₂-0 P ( 38 - ³8 = 0 <1%) _ Mas X₂) = P(Z < 2 29 = P(Z <0.18) =0,57142.
Evaluate the expression when c=28 and d=7.
C+ 49 over d
Answer:
11
Step-by-step explanation:
\( \frac{c + 49}{7} \\ = \frac{28 + 49}{7} \\ = \frac{77}{7} \\ = 11\)
OladipoSeun♡˖꒰ᵕ༚ᵕ⑅꒱need the 6 questions on the worksheet done with work
Answer:
download cymath has answer with step by step work
Answer:
what grade is this ?ujkko
I WANT TO LOG OUT OF THIS..... NOWWWWWW I DONT LIKE THIS AT ALLLLLLL SOMEONE PLEASR HELP
Answer:what do you need help with
Step-by-step explanation:
I will help
find the quotient.
0 divided by(-16
Answer:
0 ig
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
what coordinate points (x,y) represents how far the vacuum travels in two and a half minutes
Answer:
40 square feet
Step-by-step explanation:
help with these questions pls, thanks :)
Answer: Based on the formula I was taught, for your first problem it'd be the option that says 813.9 ft and for the second one it'd be your option with 2076.3 square inches.
Answer: D) 813.9 inches
Step-by-step explanation:
Formula for surface area of cylinder is:
A=2πrh+2πr2
r = 6
h = 15.6
A = 2π(6)(15.6) + 2π(6)^2
A = 187.2π + 2π(36)
A = 187.2π + 72π
A = 259.2π
If π is 3.14,
A = 259.2(3.14) = 813.9
Given f(X) = 4x^4+5x - 15x² - 45, find f(-3).
Answer:
i think the answer is 174
PLSSSS HELP IF YOU TRULY KNOW THISSS
Answer:
9/10
Step-by-step explanation:
if the figure 0.9 is coverted ;
0.9=9/10
To get the simplified form:
The highest common factor(HCF) of 9 &10 is 1
The number will be divided by the 'HCF'
which is
9/10 = 9/10(answer)
All the sides of a quadrilateral measure 5 cm. What else must be true about this shape? Select all that apply. a.The diagonals are congruent. b.The diagonals are perpendicular. c.Consecutive angles are congruent. d. Opposite angles are congruent.
Answer:
a.The diagonals are congruent.
d. Opposite angles are congruent.
Step-by-step explanation:
From the above question, we are told that:
All the sides of a quadrilateral measure 5 cm.
This means this quadrilateral is a square.
The properties of a square states that:
1) Opposite sides of a square are equal each other or congruent.
2) Opposite angles are equal each other or congruent
3) Consecutive angles of a square are supplementary angles which means that they add up to 180.
4) A square has two diagonals and they are congruent or equal to one another.
Therefore, the correct options are options a and d
Please help. I don't know what I did wrong. I need help with #18. Below me is an image of the #18.
Answer:
m = -12
Step-by-step explanation:
everything is ok til the 3rd equation line
-15m - 30 = -12m + 6
-30 - 6 = -12m + 15m
-36 = +3m
-36/3 = m--------> 3 x -12 = - 36
-12 = m
Soccer team has 10 players in a tournament there are seven teams and two players on each team drop out how many are there left
Answer:
1 team = 10 players
7 teams = 7×10 players
= 70 players
drop out players:
1 team = 2 players
7 teams = 2×7
= 14 players
how many left ?
= total players - drop out players
= 70 - 14
= 56 players
What is the quadratic equation for x^2+8x+7=-8?
After answering the given query, we can state that As a result, the quadratic equation formula for x2+8x+7=-8 is \(x^2 + 8x + 15 = 0\)
What is equation?A mathematical equation is a process that links two statements and indicates equality with the equals sign (=). A mathematical assertion that proves the equality of two mathematical statements is known as an equation in algebra. For instance, the equal symbol separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. A mathematical formula can be used to understand the connection between the two lines that are written on opposite sides of a letter. Frequently, the emblem and the particular program are identical. as in 2x - 4 = 2, for example.
the quadratic equation for x^2+8x+7=-8, we first need to change the equation to normal quadratic form, which is ax^2+bx+c=0.
With 8 added to both edges, we obtain:
\(x^2 + 8x + 15 = 0\)
The factors a, b, and c are now clear:
a = 1
b = 8
c = 15
These numbers are substituted into the quadratic formula:
\(x=(-b sqrt(b2 - 4ac)) / 2a\\x = (-8 + \sqrt(8^2 - 4(1)(15))) / 2(1)\\x = (-8 +/- \sqrt(64 - 60)) / 2\\x = (-8 +/- \sqrt(4)) / 2\\x = (-8 + 2) / 2\)
Therefore, the options are:
x = -4 or x = -3
As a result, the quadratic formula for x2+8x+7=-8 is
\(x^2 + 8x + 15 = 0\)
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answer for brainlest and 10 points
Answer:
Rational
Step-by-step explanation:
This can be reduced to a ratio of 1/2. Numbers that can be expressed as ratios are rational.
Please help me, really need help
The pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.
What is vertical opposite angle ?
When 2 lines meet one another, then the other angles, shaped thanks to intersection ar known as vertical angles or vertically opposite angles. A try of vertically opposite angles ar continuously adequate to one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to a hundred and eighty degrees.
Main body:
1st pair of line intersect each other , so ∠1 = ∠2 by using vertical opposite angle.
2nd pair of line also intersect each other , so ∠3 ,∠4 are adjacent angles.
Hence ,pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.
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Write an equation to represent the phrase: The difference of twice a number and six is four times the number.
Answer:
The answer is
\(2x - 6 = 4\)
Step-by-step explanation:
Let The number is x
Then the equation is
\(2x - 6 = 4\)
A small class has 10 students, 5 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at random. What is the
probability that the first student chosen will be a girl and the second will be a boy? Write your answer as a fraction in simplest form?
Answer:
the chances are most likely going to be 50/50
Step-by-step explanation:
50
50
Answer: 1/5
Step-by-step explanation:
Where is A after relfecting over the x axis the translate 3 units right
The coordinates of A is (0,2)
How can a image be reflected?
Behind a mirror's glass, people can see a reflection of themselves. The shiny surface creates that image when light rays strike it and reflect or bounce back, creating a "mirror image." Contrary to popular belief, the reflection is not mirrored from left to right as many people believe.
The coordinates of the point A is (-3,-2)
The rule of reflection over x-axis is
(x,y)→(x,-y)
So the point A after reflecting over the x-axis becomes
A(-3,-2)→ A(-3,2)
To move the point P(x,y), a units right and b units up we use
P(x+a,y+b)
As per the question as it moves 3 units right
∴ A(-3.2)
⇒A(-3+3,2)
The point A now is A(0,2)
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which of the following are a problem with a parallel conversion: (select all that apply) :a) there is a higher riskb) the old hardware might failc) there is a lower riskd) the users have to enter data into both systemse) there is an abrupt conversion
A parallel conversion is a method of implementing a new system in which the old and new systems run simultaneously for a period of time. While this approach can have its benefits, there are also potential problems that may arise.
One of the problems with a parallel conversion is that there is a higher risk, as there are two systems running at the same time, which can be costly and require additional resources. Another problem is that the old hardware might fail, which can cause data loss or delays in the conversion process. On the other hand, a lower risk may not be applicable in a parallel conversion because the risk factor is already high. Also, the users have to enter data into both systems, which can be time-consuming and prone to errors. Finally, an abrupt conversion is not applicable in a parallel conversion because both systems are running together. Overall, the parallel conversion method requires careful planning and execution to minimize the potential problems and ensure a smooth transition.
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An architect is designing a tapered office
tower where the ground floor (floor 0) is
the largest and the floor space is reduced
by 8.8% per floor. If the ground floor has
an area of 13,300.0 ft², what is the area of
the 10th floor?
The area of the 10th floor is 5294.196 ft² if the ground floor(floor 0) is the largest and the floor space is reduced by 8.8% per floor.
It is given that the ground floor has an area of 13,300.0 ft².
If the floor space is reduced by 8.8% per floor, then we need to find the area of a 10th floor.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent :
\(y=a^{x}\), where a is a constant and a>1.
We know we can find the exponential decrease by the below formula:
\(y=a(1-r)^{n}\)
a=13,300.0 ft², r=0.088 and n=10
⇒\(y=13,300(1-0.088)^{10}\)
⇒\(y=13,300(0.912)^{10}\)
⇒\(y=5294.196 ft^{2}\)
Thus, the area of the 10th floor is 5294.196 ft² if the ground floor(floor 0) is the largest and the floor space is reduced by 8.8% per floor.
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3m - 6 - 2m = 3 how do i solve for m?
Answer:
m=9
Step-by-step explanation:
3m-6-2m=3
Combine like terms
3m-2m=1m
1m-6=3
Add 6 to both sides
1m=9
Divide both sides by 1
m=9
Hi there! Your answer is m = 9
Please see the explanation for a clear understanding to the problem.
Any questions about the answer/explanation, feel free to ask in comments! :)
Step-by-step explanation:
Goal
Solve the equation for m-term.Given
Equation\(\Large{3m-6-2m=3}\)
Step 1
Combine like terms.Like terms are the terms have same variables. For example, 2m and 3m. 2m and 3m both are like terms because they both have same variable which is m-term.
But 2m and 3a are not like terms because 2m has m-term as a variable but 3a has a-term as a variable. Both are terms but not like terms.
From the equation:
\(3m-2m=3+6\)
Since we combine like terms, we can't combine a constant with a variable so we move to the side where they are alike.
Evaulate 3m-2m = m and 3+6 = 9
\(m = 9\)
There aren't really much steps solving this. The next step is going to be how to check an answer. It's useful when you are not certain or sure about the answer that you get. If you are not certain on the answer, this step is highly advised for a beginner.
Optional Steps - Answer Check
Step 2
Substitute m = 9 in the equation.The step is optional as said. From the equation:
\(3m-6-2m=3\)
We can do this two ways which are when we simplify the equation then substitute in the value of m or we substitute m-value first then simplify/evaluate.
I will be demonstrating these two steps to you.
Step 2.1
Simplify/Evaluate before Substitution\(3m-6-2m=3\\3m-2m=3+6\\m=9\\9=9\)
Step 2.2
Substitution before Evaluation/Simplify\(3m-6-2m=3\)
Substitute m = 9 in the equation.
\(3(9)-6-2(9)=3\\27-6-18=3\\9-6=3\\3=3\)
Notice that no matter which method you use, you'd still get the same answer. Since the equation is true for m = 9. Therefore, the solution is m = 9.
Given f(x) = x^2 + 3x + 2 and g(x) = 2x^2 -8x +7 What is (f+g)(x)? What is (f-g)(x)?
Answer:
For f(x)+g(x): 3x^2-5x+9
For f(x)-g(x): -x^2+11x-5
Step-by-step explanation:
For f(x)+g(x): (x^2+3x+2) + (2x^2-8x+7) = 3x^2-5x+9
For f(x)-g(x): (x^2+3x+2) - 2x^2-8x+7) = -x^2+11x-5
Hope this helps.
I need help on this asap!!
Answer:
31.74.89,89.3345684,876,089655,868,9345,9876.
Step-by-step explanation:
The volume, V, of a cylinder is V='h, wherer is the
radius of the cylinder and h is the height. Using rounding
to the nearest whole number, which of the following is an
estimate of the volume of a cylinder with a radius of
3.75 inches and height of 6.21 inches?
OA) 145 in.
OB) 180 in.
C) 288 in?
OD) 290 in.
The volume of the cylinder to the nearest whole number is 274 cubic inches
The formula for calculating the volume of a cylinder is expressed as:
V = πr²h
r is the radius = 3.75inh is the height = 6.21inSubstitute the given parameters:
V = 3.14 * 3.75² * 6.21
V = 274.21
Hence the volume of the cylinder to the nearest whole number is 274 cubic inches
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Wendy and Connor each deposit 8,300 into accounts that earn 3.5% interest for 25 years Wendy's account earns annual simple interest sand Connor's account earns an annual compound interest who will earn more interest of 25 years and how much interest they will earn
Answer:
Connor will earn more interest because he is getting compound interest.
Step-by-step explanation:
I have to assume in this case that the interest is 3.5% Per year:
Simple Interest = P(r + t)
{P = Principle, r = interest rate, t = time)
Wendy = $8,300 x (3.5% x 25)
Wendy = $7,262.50 (2 d.p)
Wendy = $8,300 + $7,262.50
Wendy = $15,562.50
Compound Interest = \(P (1 +r )^{t}\)
{P = Principle, r = interest rate, t = time)
Connor = $8,300 x \((1 + 0.035)^{25}\)
Connor = $19,614.93
Wendy's Interest = $15,562.50 - $8,300 = $7,262.50
Connor's interest = $ 19,614.93 - $8,300 = $11,314.93
Connor earned more interest by $4,052.43
___________________________________________________
Hope this helps!
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what is the domain of the function
Answer:
(-∞,20}
Step-by-step explanation:
Use the commutative property to reorder the terms.
Separate the function into parts to determine the domain of each part
The domian of a rational function are all values of x which the denominator is different than 0
Find the intersection
is this correct if not whats the answer
Answer:
That answer is correct, when you do a survey, you pick people at random! So your answer is correct. :) If you have any more questions feel free to ask me. ^-^
What is the estimate for 636,291 plus 280,329
Answer:
this is simple addition: 916620
Step-by-step explanation:
Answer:
637000 + 280000
Step-by-Step-Explanation:
This is probably the best estimate
What is the correct answer to 3y (2)
The simplification of the expression 3y(2) are 6y or 3y^2
Evaluating the value of the expressionThe expression 3y(2) is ambiguous and can be interpreted in two ways depending on the intended meaning.
If the expression is intended to mean "3 times the product of y and 2", then the correct answer is 6y, which can be obtained by applying the distributive property of multiplication:
3y(2) = 3y x 2 = 6y
On the other hand, if the expression is intended to mean "3 times y squared", then the correct answer is 3y^2
3y(2) = 3y^2
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On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) and (0, negative 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (1, 0). Everything to the right of the line is shaded.
Which inequality pairs with y≤−2x−1 to complete the system of linear inequalities represented by the graph?
y<−2x+2
y>−2x+2
y<2x−2
y>2x−2
Answer:
its b
Step-by-step explanation:
I think it's b because I am trying
26% of all college students major in STEM (Science, Technology, Engineering, and Math). If 39 college students are randomly selected, find the probability that exactly 12 of them major in STEM. Round to 4 decimal places.
The probability of exactly 12 from 39 college students majoring in STEM is \(0.1776\)
What is the probability of a specific number of STEM majors?To find the probability of exactly 12 out of 39 college students majoring in STEM, we can use the binomial probability formula.
The formula is P(X=k) = (n choose k) * p^k * (1-p)^(n-k).
Data;
n = 39, k = 12, p = 0.26, and (n choose k) = 39 choose 12 = 3,720.
Plugging in the values:
P(X=12) = 3,720 * 0.26^12 * 0.74^27
P(X=12) ≈ 0.1776
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