Using the lognormal and the binomial distributions, it is found that:
The 90th percentile of this distribution is of 136 dB.There is a 0.9147 = 91.47% probability that received power for one of these radio signals is less than 150 decibels.There is a 0.0065 = 0.65% probability that for 6 of these signals, the received power is less than 150 decibels.In a lognormal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{\ln{X} - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of [tex]\mu = 3.5[/tex].The standard deviation is of [tex]\sigma = \sqrt{1.22}[/tex]Question 1:
The 90th percentile is X when Z has a p-value of 0.9, hence X when Z = 1.28.
[tex]Z = \frac{\ln{X} - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{\ln{X} - 3.5}{\sqrt{1.22}}[/tex]
[tex]\ln{X} - 3.5 = 1.28\sqrt{1.22}[/tex]
[tex]\ln{X} = 1.28\sqrt{1.22} + 3.5[/tex]
[tex]e^{\ln{X}} = e^{1.28\sqrt{1.22} + 3.5}[/tex]
[tex]X = 136[/tex]
The 90th percentile of this distribution is of 136 dB.
Question 2:
The probability is the p-value of Z when X = 150, hence:
[tex]Z = \frac{\ln{X} - \mu}{\sigma}[/tex]
[tex]Z = \frac{\ln{150} - 3.5}{\sqrt{1.22}}[/tex]
[tex]Z = 1.37[/tex]
[tex]Z = 1.37[/tex] has a p-value of 0.9147.
There is a 0.9147 = 91.47% probability that received power for one of these radio signals is less than 150 decibels.
Question 3:
10 signals, hence, the binomial distribution is used.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.For this problem, we have that [tex]p = 0.9147, n = 10[/tex], and we want to find P(X = 6), then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{10,6}.(0.9147)^{6}.(0.0853)^{4} = 0.0065[/tex]
There is a 0.0065 = 0.65% probability that for 6 of these signals, the received power is less than 150 decibels.
You can learn more about the binomial distribution at https://brainly.com/question/24863377
Choose the correct answer to 97 ÷ 4.
24 R1
24
23 R5
24 R3
Answer:
24 R1
Step-by-step explanation:
60% of students at a local high school participate in club activities. Rewrite this percent as a fraction
Answer:
The correct answer is 3/5
Step-by-step explanation:
I know its correct :)
If a line l is perpendicular to a segment AB at point E and AE = EB how many points on line l are the same distance from point A as from point B
Answer:
101
Step-by-step explanation:
(5,65) (7,71) slope
Answer:
3
Step-by-step explanation:
The slope formula is m=y2-y1/x2-x1
y2 is 71
y1 is 65
x2 is 7
x1 is 5
71-65 is 6
7-5 is 2
So the slope looks like this:
6/2
Simplify:
Which is 3
Hope this helps!
HELP PLEASE!!!!!!!!!
Answer:
2
Step-by-step explanation:
the formula is y^2-y^1 over x^2-x^1
so the y coordinates here are 5 and -5
5--5=10
the x coordinates are -2 and 3
3--2=5
so we are left with 10/5
the answer is 2
hope this helped
You are studying a population of geese in which there are two color phases, brown and gray. Color in this species is controlled by a single gene, with brown dominant to gray. A random sample of 250 geese shows that 210 are brown. What percentage of the brown geese are heterozygous
Based on the information given the percentage of the brown geese that are heterozygous is 48%.
Random sample = 250
Brown color = 210
Gray color = 250 - 210 = 40
First step is to calculate the proportion of a alleles in the population
Proportion (a alleles)=√40/250
Proportion (a alleles)= √0.16
Proportion (a alleles)= 0.4
Second step is to calculate the proportion of A alleles in the population
p(A) = 1 - 0.4
p(A)= 0.6
Third step is to calculate brown heterozygous percentage using this formula
Brown heterozygous percentage=2pq(Aa)
Let plug in the formula
Brown heterozygous percentage= 2 x 0.6 x 0.4
Brown heterozygous percentage= 0.48 ×100
Brown heterozygous percentage= 48%
Inconclusion the percentage of the brown geese that are heterozygous is 48%.
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solve the following question
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
plz help i don’t get it help help help
Answer:
The answer is c
Please look at the picture.
Find the following limit without using a graphing calculator or making a table.
Answer:
Step-by-step explanation:
maya picks 16 vegetables 6 of them are carrots the rest are cucumbers then she gives away 5 cucumbers how many cucumbers does maya have now
Answer:
5
Step-by-step explanation:
First subtract 6 from 16 to find how many cucumbers she has,
16 - 6 = 10
Now we know she has 10 cucumbers.
Subtract 5 from the 10 cucumbers to find out how many she has after giving away 5.
10 - 5 = 5
After subtracting the 5 cucumbers she gave away, we are left with 5
This means Maya has 5 cucumbers now
Select the correct answer from each drop-down menu. The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is . The center of the circle is at the point , and its radius is units.
7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7
x² + y² - 4 x + 6 y - 5 = 0
( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0
The equation in the standard form is:
( x - 2 )² + ( y + 3 )² = 18
The center is at the point ( 2, - 3 ).
Its radius is: √18 = 3√2 units.
Answer:
A. (x - 2)^2 + (y + 3)^2 = 18.
B. (2, -3)
C. 3(2^(1/2))
Step-by-step explanation:
The equation of this circle in standard form is (x - 2)^2 + (y + 3)^2 = 18. The center of the circle is at the point (2, -3), and its radius is 3(2^(1/2)) units.
Ty'Sean went to the bowling alley and spent $14.50. If his rental shoes cost $4.50 and he played in 5 games, what was the price per game?
Answer:
$2 each
Step-by-step explanation:
$14.50-$4.50=$10.00
10.00/5 games =$2 each
Solve the equation.
-9x + 1 = -x + 17
Step-by-step explanation:
-9x + 1 = -x + 17
collect like terms
-9x + x = 17-1
-8x = 16
divide both sides by -8
-8x/-8 = 16/8
x = 2
geomtry plz help 10 points
Answer:
22.3<x<27.6
Step-by-step explanation:
X=greater than a number but less than another
22.3<27.6
Knowing that we can place 27.6 to the right of x and 22.3 to the left.
Hope this helps :)
Answer:
[tex]4.3<x<50.9[/tex]
Step-by-step explanation:
To find our Inequality sentence we have to add the largest number with the smaller much
[tex]27.6+23.3=50.9[/tex]
To find the second part of our inequality sentence we have to subtract the larger number from the smaller number
[tex]27.6-23.3=4.3[/tex]
Our inequality sentence is [tex]4.3<x<50.9[/tex]
Brainliest please
Can someone please answer this? No links, stealing the points, or deleting your answer, please! I am sick of those kinda people. Really would appreciate it if someone answered because I need a good grade!
Check the picture below.
Micah earns 2 points for every 3 questions he answers correctly on a test. If he answered 24 questions correctly, how many points did he earn?
Answer:
16 points.
Step-by-step explanation:
24*2/3 = 16.
Hope this helped!
*Sorry if I'm wrong, though I think I'm correct.*
Enjoy the rest of your day.
Answer:16
Step-by-step explanation: 24 divided by 3 because it is for every 3 questions. You get 8. He gets 2 points for every 3 questions so 8 times 2 is 16.
HELP WILL GIVE BRAINLIEST
Graph algebra problem! Can anybody help me out as graphs are definitely not my strong suit.
Answer:
f(2) = 5
Step-by-step explanation:
Definitions:Input values = x-coordinates.
The input values are also known as the domain, which is the set of all real numbers. With the domain of a function, you could substitute any real number into a given function for x and produce a valid output.Output values = y-coordinates
The range is the set of all real numbers that depend on the input values plugged into the function. Thus, the range represents the output (y-values) that corresponds to the input values used into the function. Function Notation:In the function notation f(x), f is the function name, and x is your input variable. Output values are also called functional values. You could use any letter to represent a function name, such as g(x), w(x), etc.,.Explanations:This particular question asks for you to identify the corresponding output (y-value) of the given input value, x = 2. If you look at the graph, the x-coordinate, x = 2, corresponds to the y-coordinate of 5.
Therefore, f(2) = 5.
Attached is an edited screenshot of the graph that you posted, where it shows where f(2) = 5 is located on the graph.
Answer:
f(2) = 5
Step-by-step explanation:
The 2 in f(2) means you're looking for the value of the function when x=2.
Find the vertical line that is the 2nd one to the right of the y-axis. Follow it up until you reach the function line (at the top edge of the graph). The y-value there is the value of f(2). That is 5 squares above the x-axis, so ...
f(2) = 5
OMG HELP RN
On a typical night at a restaurant, the patio lights use 202.64 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.
Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?
A.
202.64 - h
B.
202.64 ÷ h
C.
202.64 × h
D.
202.64 + h
Answer:
C would be the answer
Hope this helps!
8 times the sum of 2 and a number that is 32
Answer:
Step-by-step explanation:
d) 8(n+2) = 32
Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)
What is the value of x in this triangle?
56.51°
.58°
28.89°
33.49°
Answer:
x = 33.49°
Step-by-step explanation:
The relevant trig ratio is the sine:
Sin = Opposite/Hypotenuse
siin(x) = 32/58
The angle measure is found using the inverse function:
x = arcsin(32/58) ≈ 33.49°
Answer:
i got 32 is it 32 cause i put 33 cause it was closer
Step-by-step explanation:
product of x and 4 is decreased by one-quarter
Answer:
x
Step-by-step explanation:
x times 4 = 4x
4x in 4 quarters: x x x x
One quarter^^ = x
The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 178 feet. Find the length of the garden.
Answer: 48
Step-by-step explanation:
l = w + 7
2w + 2l = 178
2w + 2(w + 7) = 178
2w + 2w + 14 = 178
4w = 164
w = 41
l = w + 7
l = 41 + 7
l = 48
Use set notation to write the members of the following set, or state that the set has no members. Odd numbers between 2 and 82 that are multiples of 9
Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,
[tex]D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}[/tex]
The odd multiples of 9, [tex]m[/tex], in the range [tex]2\le m \le 82[/tex] form the set
[tex]\{9,27,45,63,81\}[/tex]
Each member of the set is a term of the arithmetic progression
[tex]U_n=18n+9[/tex]
where the values of [tex]n[/tex] range from 0 to 4, or [tex]0\le n\le 4[/tex]
Putting these facts together, we get the result
[tex]D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}[/tex]
Learn more about set-builder notation here: https://brainly.com/question/17238769
PLEASE HELP LOOK AT THE PIC BELOW
Answer:
The simplest answer is
[tex] \frac{16}{21} [/tex]
The reason how I got that is because to divide fractions, you have to turn them improper. Once you've done that, you then can multiply it by using the reciprocal of the second fraction. Once they are rearranged, multiply all the numerators by each other. do the same with the denominators and form a new fraction.
[tex] \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} [/tex]
[tex]\sf \longmapsto \frac{4}{3} \div \frac{7}{4} [/tex]
[tex]\sf \longmapsto \frac{4}{3} \times \frac{4}{7} [/tex]
[tex]\sf \longmapsto \frac{4 \times 4}{3 \times 7} [/tex]
[tex]\sf \longmapsto \frac{16}{21} [/tex]
Therefore the answer is :
[tex]\sf \frac{16}{21} [/tex]
Select all the correct answers.
Which statements are true about function g?
Answer:
i need the question
Step-by-step explanation:
What is the domain of f(x)=(1/4)^x?
A. y > 0
B. x < 0
C. x > 0
D. All real numbers
[tex] \huge \bf༆ Answer ༄[/tex]
The domain of given function is All real numbers
[tex] \sf \: f(x) = { \bigg( \dfrac{1}{4} \bigg) }^{x} [/tex]
For each value of x the function is defined.
Example -
For x = 1The value is [tex] \sf\frac{1}{4}[/tex]
For x = -1The value is 4
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
WILL GIVE 100PTS
Find the slope of a line that passes through (-2, -3) and (1, 1).
A. 1 /3
B. 1
C. 2
D. 4/3
Answer:
D
Step-by-step explanation:
Y2-Y1/x2-x-1
Answer:
D
Step-by-step explanation:
Formula for slope is (y2-y1)/(x2-x1).
(1-(-3))/(1-(-2)) = 4/3
