Answer:
0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean output of 429 watts with a standard deviation of 10 watts.
This means that [tex]\mu = 429, \sigma = 10[/tex]
Sample of 76:
This means that [tex]n = 76, s = \frac{10}{\sqrt{76}} = 1.147[/tex]
What is the probability that the mean amplifier output would be greater than 432.1 watts?
This is 1 subtracted by the pvalue of Z when X = 432.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{432.1 - 429}{1.147}[/tex]
[tex]Z = 2.7[/tex]
[tex]Z = 2.7[/tex] has a pvalue of 0.9965
1 - 0.9965 = 0.0035
0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.
will report anybody who gives a link!
3,947 ÷ 45 = (?) R (?)
Answer:
87.7(1)
=
87 Remainder 32
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
you --> they
Step-by-step explanation:
The pronoun "you" is incorrect since it should be 'they'.
It has to be 'they' instead because it doesn't talk to the reader, it talks about the canditates.
Help please !! need it asap
Answer:
AB = 6
m∠F = 70°
Step-by-step explanation:
1.) This is isosceles, from the angles you can tell
2.) Angles F and D are equal, this is also a form of isosceles
180-40 = 140
140/2 = 70
You get your first job ever and they tell you that you will make $350.25 for 15 hours. How much money will you make working 40 hours?
An electrical appliances shop owner estimates that his sales will increase by 5% every
month. The sales for the first month were 30.000. Find
i) the sales for the 10th month.(46539.86)
ii) the total sales for the first year.(477513.80)
Please help I'll give brainliest
Answer:
m∠A = 130
Step-by-step explanation:
Here, In a given figure
m∠A = 2x - 30°
Now, we know that the sum of all angle is 180° on a straight line
So,
2x - 30° + 50° = 180°
2x + 20° = 180°
2x = 180° - 20°
2x = 160°
x = 160° ÷ 2
x = 80°
Here, we get the value of x is 80°
Now,
m∠A = 2x - 30°
m∠A = 2(80°) - 30°
m∠A = 160° - 30°
m∠A = 130
Thus, m∠A = 130
-TheUnknownScientist
help me ...........................
Answer:
They will be able to.
Step-by-step explanation:
You first want to make sure the first three families have enough to eat.
[tex]6\frac{1}{2} - 2\frac{7}{8} = 3\frac{5}{8}[/tex]
For further explanation look at the first image.
[tex]3\frac{5}{8} > 2\frac{7}{8}[/tex]
Just to make sure
[tex]3\frac{5}{8} - 2\frac{7}{8}=\frac{3}{4}[/tex]
For further explanation look at the second image.
The rest of the images show a model solution.
Exit
Use the table to answer the question.
Frank mows 1 lawn for $30. He made a table of values to show his earnings.
What error did Frank make in completing the table?
A. Frank multiplied 2 by 2 to get 4 and $60 by 2 to get $120.
B. Frank added $15 to $60 to get $75 instead of adding $30 to $60 to get $90.
C. Frank multiplied $15 by 5 to get $75 instead of multiplying $15 by 3 to get $45.
D. Frank incorrectly added to get the amount of money earned for mowing 4 lawns.
Answer:
B
Step-by-step explanation:
S - 4= -8
What is S?
Answer:
S = -4
Step-by-step explanation:
-8 minus -4 is basically -8-(-4) which converts to -8+4, and the result of that is -4.
Answer:
s-4+4=-8+4
s=-4
Step-by-step explanation:
x is equal to -4
who tryna play 2k or cod
Answer:
i'M DOWN IT'S CHADCW1234
Step-by-step explanation:
Answer:
o7ft65tu7lfl875t6u
Step-by-step explanation:
giving brainliest !!
answer asap
Answer:
352 in squared
Step-by-step explanation:
Using the formulas
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving forA
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=12·8+10·8+10·8+1
2·﹣124+2·(12·10)2+2·(12·10)2﹣104+2·(10·10)2﹣104
=352
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Helpppppppppppppy pls
Answer:
Step-by-step explanation:
What is the slope of the line through (-1, 8) (3, -4)
Answer:
D. -3
Step-by-step explanation:
Name the figure below in two different ways.
Answer:
LDM
MDL
Step-by-step explanation:
The names of a figure are gotten from the points on the figure. The names of the figure are LDM and MDL.
There are three points on the given figure, and these points are: point L, point D and point M, where Point D is between L and M.
This means that, when naming the figure, alphabet D must be at the middle while alphabets M and L can be at either sides of D.
So, the possible names of the figure are: LDM and MDL.
Read more about naming figures at:
https://brainly.com/question/1514423
50 points and brainliest!
Solve for x: 3a-b/x-b=1/x+1, if a≠b+1/3
(a picture will be provided as well)
Answer:
3a-b/(x-b)=1/(x+1)Doing criss cross multiplication
3a(x+1)-b(x+1)=x-b
3ax+3a-bx-b=x-b
3ax-bx-x=b-3a-b
x(3a-b-1)=-3a
x=3a/(3a-b-1)
can someone help me? please!!!
Answer:
Down below
Step-by-step explanation:
i'm gonna break it down into two parts.
Half-circle
[tex]A=\frac{1}{2}(\pi r^2) \\16/2=8=r\\A=\frac{1}{2}(3.14*8^2)\\A= \frac{1}{2}( 200.96)\\A=100.48[/tex]
Square
[tex]A=bh\\A=16*16\\A=256[/tex]
now to get it all we add them
[tex]A=100.48+256\\A=365.48[/tex]
Andrew randomly selects a number from 1-15. What is the probability that the number he selects is an even number?
Answer:
7/15
Step-by-step explanation:
Probability= Number of even numbers / Total numbers
There are 7 even numbers between 1 and 15
P = 7/15
Write the following as an inequality. x is greater than 4 and less than or equal to 8 Use x only once in your inequality. pls hurry i will give brainlist
Answer:
8>_x>4
>_ this is greater than equal to symbol eight is greater than or equal to x is greater than 4
What is the formula for finding the area of a triangle, parallelogram and trapezoid?
If you answer, thank you! <3
What’s the product of 2/8 and 3/5?
Answer:
6/40=3/20
Step-by-step explanation:
The amount of paint needed to cover a wall is proportional to its area. The wall is rectangular and has an area of 4z^2+2z square meters. Factor this polynomial
Answer:
2z(2z+1)
Step-by-step explanation:
yup
A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector
(The answer is 10.5, but how?) pls help
Answer:
4 cm
Step-by-step explanation:
Perimeter = 18cm
θ = 2.5 radian
s = rθ, s = Arc length
Perimeter of Sector, P = arc length, s + 2r
Perimeter = rθ + 2r
r = Radius
18cm = r(2.5) + 2r
18cm = 2.5r + 2r
18cm = 4.5r
r = 18 /4.5
r = 4
This question: 00:26 Level 4: Multiplying Mixed and Whole Numbers 16.7% Complete Q. One of your clients at Wills, Trusts & Estates Law, PLLC passes away. His estate is worth $72,000. He leaves half to charity, and to each of his four children. How much will each child receive? $ HINT + A Report Content Errors
The question is stated in such a garbled, convoluted, ambiguous way that it's hard to go to an answer.
With a few reasonable assumptions, it looks to me like each son gets $9,000.
What is the slope of the line that passes through the
points (5, 0) and (5, -3)?
Find the volume of a cylinder that has a radius of 1/2and a height of 1.
Answer:
0.79
Step-by-step explanation:
Select the correct answer.
Which of these is a non-real complex number?
OA. 5/17 - 21/4
B.
9 + 375
2
OC. 2 - 0
OD. +
/
Dorot
Answer:
OD
Step-by-step explanation:
because it gives us error and there's no number
The correct option is (D) .
Which is a non-real complex number?Nonreal complex numbers include pure imaginary numbers and those with a and b values of zero, such as 7 + 2i.A non-real or imaginary number is the name given to the square root of a negative number. For instance, the numbers 1, 28, and 5 are all imaginary numbers.Complex numbers cannot be plotted on the actual number line because they contain imaginary numbers. On the complex number plane, which has a y axis (for the imaginary number) and an x axis (for the real number), they can, however, be measured starting from zero (for the imaginary number).In all these options , they are presenting real complex number .Real numbers can be positive or negative, and include the number zero. that is why we select option D .
Learn more about non-real complex number brainly.com/question/20813072
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The area of a triangle is 174 square inches. The base is 29 inches. What is the height in inches? Do not include units in your answer.
Answer:
Your answer would be 6
Step-by-step explanation:
Area=174
Base=29
174 divided by 29
Equals 6
6 times 29
Equals 174
So since 29 times 6 gave you 174 which is your area, your answer would be 6 since it is the missing height to your problem.
:)
Answer: 12
Step-by-step explanation:
We can use the formula for the area of a triangle, to help us find the height:
Area=12⋅b⋅h
Using the formula for area, we can solve for the height by plugging in the information we have about the area and the base:
174=12⋅29⋅h
Isolate h by multiplying both sides by 2 and dividing both sides by 29.
hh=2⋅17429=12
The height is 12 inches.
How does the stimulus check impact society please help me please i really need help please
Answer: Stimulus checks are given to boost the economy by providing consumers with funds to spend. Consumer spending is an essential component of a healthy economy and, in times of economic uncertainty, it usually contracts.
Sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question...agree with the increase, do not agree with the increase, no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have? A9 B6 C4 D2 E1
Answer: C) 4
Step-by-step explanation:
The chi-square test should have 4 degrees of freedom
The categories of students are:
Sophomore, junior, and senior students
The categories of response are:
.agree with the increase, do not agree with the increase, no opinion
There are three (3) categories of students and three (3) categories of response.
So, the degrees of freedom is calculated as:
[tex]df = (r -1) * (c -1)[/tex]
Where:
r = 3 i.e. categories of students
c = 3 i.e. categories of response.
This gives
[tex]df = (3 -1) * (3 -1)[/tex]
[tex]df = 2 * 2[/tex]
[tex]df = 4[/tex]
Hence, the chi-square test should have 4 degrees of freedom
Read more about chi-square test at:
https://brainly.com/question/4543358