Answer:
a) The probability distribution is [tex]f(x) = \frac{1}{8}[/tex]
b) 0.5 = 50% probability that X will take on a value between 21 and 25.
c) 0.25 = 25% probability that X will take on a value of at least 26.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{a - x}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Uniform distribution over the interval from 20 to 28.
This means that [tex]a = 20, b = 28[/tex]
a. What’s the probability density function?
The probability density function of the uniform distribution is:
[tex]f(x) = \frac{1}{b - a}[/tex]
In this question:
[tex]f(x) = \frac{1}{28 - 20} = \frac{1}{8}[/tex]
b. What’s the probability that X will take on a value between 21 and 25?
[tex]P(21 \leq X \leq 25) = \frac{25 - 21}{28 - 20} = \frac{4}{8} = 0.5[/tex]
0.5 = 50% probability that X will take on a value between 21 and 25.
c. What’s the probability that X will take on a value of at least 26?
[tex]P(X > 26) = \frac{28 - 26}{28 - 20} = \frac{2}{8} = 0.25[/tex]
0.25 = 25% probability that X will take on a value of at least 26.
What is a solution to the system? y = x^2 + 2x - 15 y – 4x = -12
9514 1404 393
Answer:
(x, y) = (-1, -16) or (3, 0)
Step-by-step explanation:
Perhaps you want to solve the system of equations ...
y = x^2 +2x -15y -4x = -12Substituting the first expression for y into the second equation gives ...
x^2 +2x -15 -4x = -12
x^2 -2x -3 = 0 . . . . . . . . add 12
(x -3)(x +1) = 0 . . . . . . . factor
Solutions are the values of x that make the factors zero: x = 3, x = -1.
The corresponding values of y are ...
y = -12 +4x
y = -12 +4{-1, 3} = -12 +{-4, 12} = {-16, 0}
The solutions to the system are ...
(x, y) = (-1, -16) or (3, 0)
1. p-4= -9+p
2. 4m-4= 4m
Extra Credit, need help
Answer:
1. No solution
2. No solution
Step-by-step explanation:
1. p-4=-9+p
-4=-9
No solution
2. 4m-4=4m
-4=0
No solution
If this helps please mark as brainliest
Frank earns 56,600$ one year and receives a 9 % raise in salary. What is his new salary?
Answer:
His new salary would be $61,694
Step-by-step explanation:
Customer: "A previous representative told me that I would receive a 17% discount on my $123.76 service plan. How much is the discount?" Representative: "You will receive a discount of __________
Answer:
$21.04
Step-by-step explanation:
123.76 x 17% = 21.0392 = 21.04
What inequality does the number line graph represent
Answer:
5x + 3 ≥ 18
Step-by-step explanation:
when solved, the inequality is x ≥ 3
x ≥ 3 indicates all values greater than 3, including 3, should be in the solution set
HELP ME PLZ WILL MARK U AS BRAINLIEST
Answer:
yes
Step-by-step explanation:
the difference of mean is 10.5
the mean for Mrs.S was 26.7 while for Mr.C it was 37.2.
using this info we can infer that Mr.C uses 10-11 more textbooks monthly
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.
The graph of which function has an amplitude of 3 and a right phase shift of π/4?
A: y= 3sin2(x- π/4)
B: y = 3 + sin2(x- π/4)
C:y = 3 + sin2(x+ π/4)
D:y = 3sin2(x+π/4)
Answer:
[tex]D.\ y = 3\sin(2(x + \frac{\pi}{4}))[/tex]
Step-by-step explanation:
Given
[tex]A = 3[/tex] --- Amplitude
[tex]C = \frac{\pi}{4}[/tex] --- Right phase shift
Required
Identify the function
A sinusoidal function is defined as:
[tex]y = A\sin(B(x + C)) + D[/tex]
Substitute values for A and C
[tex]y = 3\sin(B(x + \frac{\pi}{4})) + D[/tex]
By comparison, only option (D) has the above format where
[tex]y = 3\sin(2(x + \frac{\pi}{4}))[/tex]
Hence (D) is correct
Need help on this one (listing BRAINLIST and giving points) =)
I hope this is help full to you
What is the unit rate for the following point?
(7, 1 3/4)
Answer:
Step-by-step explanation:
7
y=10x/3+19 find the y-intercept
Answer:
(0, 19)
Step-by-step explanation:
In slope-intercept form, the constant at the end of the equation is the value of the y-intercept.
You can also solve for the y-intercept by letting x = 0. This is because, at the point where the line crosses the y-axis, x will be 0.
y = 10(0)/3 + 19
y = 0 + 19
y = 19
Therefore, the y-intercept is (0, 19).
The y-intercept is (0, 19).
What is the y-intercept?The y-intercept is the point where the graph intersects the y-axis.
Given is an equation of a line, y = 10x/3+19
To solve for the y-intercept,
Put x = 0. This is because, at the point where the line crosses the y-axis, x will be 0.
y = 10(0)/3 + 19
y = 0 + 19
y = 19
Therefore, the y-intercept is (0, 19).
For more references on y-intercept, click;
https://brainly.com/question/14180189
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0.01 0.03 0.09 0.35 0.41 0.41 0.41 0.42 0.54 0.57 0.71 0.77 0.83 0.87 0.93 0.95 0.99 1.01 1.01 1.09 1.12 1.33 1.34 1.45 1.48 1.49 1.54 1.65 1.73 1.82 1.87 1.95 1.99 2.02 2.03 2.16 2.32 2.33 2.35 2.46 2.48 2.55 2.61 2.62 2.63 2.69 2.72 2.72 2.85 2.96
find the median
Step-by-step explanation:
[tex]median = \frac{1.48 + 1.49}{2} [/tex]
[tex] = \frac{2.97}{2} [/tex]
[tex] = 1.485[/tex]
the ratio of two complementary angles is 8:17. find the measure of the smallest angle.
Answer:
28.8
Step-by-step explanation:
Multiply each by x
8x : 17x
Complementary angles add to 90
8x+17x = 90
25x = 90
Divide each side by 25
25x/25 = 90/25
x=3.6
The smallest angle is 8x
8*3.6 =28.8
1,Convert 24 hours to sec
Answer:
86400 sec
Step-by-step explanation:
24 hour⇒ sec
1 hr = 3600 sec
So,
24×3600
= 86400 sec
What is the value of m
Answer:
B=34, A=56
Step-by-step explanation:
56 + 90 + B = 180
=) B=34
A is head to head with 56°.
Identify a pair of parallel lines in the given figure.
a)p and s
b)r and s
c)r and q
d)r and p
If the switches at 2, 3, 4, and 5 are independently closed or open with probabilities 0.1 (for closed) and 0.9 (for open), what is the probability of a closed path between the input line on the left and the output line on the right
Complete Question
The Complete Question is attached below
Answer:
[tex]P(X)=0.0163[/tex]
Step-by-step explanation:
From the question we are told that
Probability of open [tex]P(x)O=0.9[/tex]
Probability of open [tex]P(x)C=0.1[/tex]
Generally the equation for Probability of a closed path between the input line on the left and the output line on the right is mathematically given by
[tex]P(X)=(P(3\&5)C*P(2\&4)C)+(P(2\&4)O+P(2\&4)C*P(1\&3)O)+(P(1\&3)C-P(3\&5)C*P(2\&4)C)[/tex]
[tex]P(X)= 0.1*0.1*(0.1*0.1+0.9*0.9 ) + 0.1*0.1*(0.9*0.9 + 0.1*0.1) - 0.1*0.1*0.1*0.1[/tex]
[tex]P(X)=0.0163[/tex]
What is the difference between function and operator in math?
Step-by-step explanation:
In mathematics, a function is a mapping from set A to a set B that has a unique output for any given input. “Operators” or “operations” are typically defined as a special type of function.
Cuánto es 1/4 mas 1/4
Answer:
0.5
Step-by-step explanation:
Which of the following will most likely produce sample proportions that are
normally distributed?
A. Many samples of 34 coin flips
B. Many samples of 14 coin flips
C. Many samples of 19 coin flips
D. Many samples of 9 coin flips
PLEAZSEE HELP MEEEJEHSHD
Answer:
First gap:
√1000/16
= 8 seconds
Second gap:
Rearrange formula:
√d = 4t
40=√d
d = 6 meters.
how to convert 15 cm to mm
I need help on C......
Step-by-step explanation:
[tex]B=100e^{0.592t}[/tex]
c) To solve for t, take the natural logarithm of the above equation:
[tex]\dfrac{B}{100}=e^{0.592t}[/tex]
[tex]\Rightarrow \ln \left(\dfrac{B}{100} \right) = \ln e^{(0.592t)}=(0.592t)\ln e[/tex]
Recall that [tex]\ln e = 1[/tex] so we can rewrite the equation above as
[tex]0.592t = \ln \left(\dfrac{B}{100} \right)[/tex]
Finally, solving for t, we get
[tex]t = \frac{1}{0.592} \ln \left(\dfrac{B}{100} \right)[/tex]
The height of a triangle is 7 feet greater than the base. the area of the triangle is 247 ft.² find the length of the base and the height of the triangle
Answer:
Base = 19
Height = 26
Step-by-step explanation:
Given :
Height, h = base, b + 7 feets
The area of triangle, A = 247 ft²
The area of a triangle is given by :
A = 1/2 * base * height
247 = 1/2 * b * (b + 7)
247 = 0.5 * b * (b + 7)
247 = 0.5b² + 3.5b
0.5b² + 3.5b - 247 = 0
Solving the quadratic equation ; using the quadratic equation solver, the roots are :
b = -26 or b = 19
Length of base can't be negative :
Hence,
Base, b = 19
Height, h = base + 7 = 19 + 7 = 26
PLS HELP ASAP. NO LINKS
When z= 9, the value of z2 + 1 is
SAT Scores The national average SAT score (for verbal and math) is 1028. Assume a normal distribution with o=92.
0
Round intermediate : -value calculations to two decimal places.
What is the 95th percentile score? Round the answer to the nearest whole number,
The 95th percentile score is ?
Answer:
Similar to your other question. Now, you're looking for the score such that this time, 0.99 corresponds to a z-score of approximately, which means
PLEASE HELP ASAPPP!!!!!
Three coins are flipped. What is the probability that there will be two tails and one head?
If f(x)= 10 sin(x) – 3 then f (30%) = ?
A) - square root 3/2 -3
B.) 2
C.) -5/2
D.) 4/3 - square root 3/2
Answer:
The value of f(30) is equal to 2.
Step-by-step explanation:
The given expression is :
[tex]f(x)= 10 \sin(x) - 3[/tex]
We need to find the value of f(30)
Put x = 30 in above expression.
So,
[tex]f(x)= 10 \sin(30) - 3\\\\=10\times \dfrac{1}{2}-3\\\\=5-3\\\\=2[/tex]
Hence, the value of f(30) is equal to 2.
Which statement is true about the equations -3x 4y = 12 and #*-}y=I?
O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
O The system of the equations has no solution; the two lines are parallel.
The system of the equations has an infinite number of solutions represented by either equation.
Help!!!! 20 points!!!!!!’
Answer:
option c is the correct answer
first take y raised to the power 4 common then cancel its power by y raised to the power 3
you get your answer
Find the perimeter of the figure.
Answer:
45 inches (choice B)
Step-by-step explanation:
The perimeter is the sum of all of the sides of a shape. Since the sides are given this problem is fairly easier than other problems. You simply have to add the numbers together.
8 + 3 + 3 + 6 + 6 + 19 = 45 inches
Answer:
45 in.
Step-by-step explanation:
Perimeter = 8 + 3 + 6 + 19 + 6 + 3
= 45.