Step-by-step explanation:
the value of x will be 920
The lengths of nails produced in a factory are normally distributed with a mean of 6.13 centimeters and a standard deviation of 0.06 centimeters. Find the two lengths that separate the top 7% and the bottom 7%. These lengths could serve as limits used to identify which nails should be rejected.
Answer:
A value of 6.0415 centimeters separates the bottom 7%, while a value of 6.2185 centimeters separates the top 7%.
Step-by-step explanation:
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.
Mean of 6.13 centimeters and a standard deviation of 0.06 centimeters.
This means that [tex]\mu = 6.13, \sigma = 0.06[/tex]
Value that separated the top 7%:
The 100 - 7 = 93rd percentile, which is X when Z has a p-value of 0.93, so X when Z = 1.475.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.475 = \frac{X - 6.13}{0.06}[/tex]
[tex]X - 6.13 = 1.475*0.06[/tex]
[tex]X = 6.2185[/tex]
Value that separates the bottom 7%:
The 7th percentile, which is X when Z has a p-value of 0.07, so X when Z = -1.475.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.475 = \frac{X - 6.13}{0.06}[/tex]
[tex]X - 6.13 = -1.475*0.06[/tex]
[tex]X = 6.0415[/tex]
A value of 6.0415 centimeters separates the bottom 7%, while a value of 6.2185 centimeters separates the top 7%.
∠A and \angle B∠B are vertical angles. If m\angle A=(5x-9)^{\circ}∠A=(5x−9) ∘ and m\angle B=(8x-30)^{\circ}∠B=(8x−30) ∘ , then find the value of x
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
Vertical angles have the same measure, so ...
m∠A = m∠B
(5x -9)° = (8x -30)°
21 = 3x . . . . . . . . . divide by °, add 30-5x
7 = x . . . . . . . . . . divide by 3
The formula for the lateral area of a right cone is LA = pi rs, where is the radius of the base and s is the slant height of the cone.
Answer:
r is the radius of the base and s is the slant height of the cone. From the options given, We can make s the subject of the formula. Hence: Option a) s equals StartFraction L A Over pi r EndFraction
Two equivalent equations are s = LA/πr and r = LA/πs
What is cone?A cone is a shape formed using a series of line segments or lines that connect a common point, called a apex or vertex, to all points on the base of a circle that do not contain a vertex. The distance from the apex of the cone to the base is the height of the cone. A circular base has a measured radius value. And the length from the apex of the cone to any point around the base is the height of the slope. Equations for the surface area and volume of a cone can be derived from these quantities
Volume(V) = ⅓ πr²h cubic units
The total surface area of the cone = πrs + πr²
where, r is radius of the base, s is slant height and h is height of the cone
Given,
Lateral area of cone is denoted by LA
Lateral area of cone = πrs
where r is radius and s is slant height
⇒ LA = πrs
⇒ s = LA/πr
⇒ r = LA/πs
Hence, s = LA/πr and r = LA/πs are two equivalent equations in the given options.
Learn more about cone here:
https://brainly.com/question/16394302
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What is the area of this composite figure?
Answer:
Well, divide the shape into rectangles,
triangles or other shapes after that, you can find the area of and then add the areas back together.
Step-by-step explanation:
The area of composite shapes is defined as the area covered by any composite shape. A composite shape is made up of basic shapes put together. Thus, the area of the composite shape is found by individually adding all the basic shapes.
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.es
Plss helpp
I need to pass
9514 1404 393
Answer:
P' = (3, -5)
Step-by-step explanation:
Rotation 180° about the origin is the same as reflection across the origin. The transformation is given by ...
(x, y) ⇒ (-x, -y) . . . . . . the signs of the coordinates are both changed
P(-3, 5) ⇒ P'(3, -5)
A binomial experiment consists of 11 trials. The probability of success on trial 4 is 0.41. What is the probability of success on trial 8?A. 0.71B. 0.41C. 0.39D. 0.84E. 0.14
Answer:
B. 0.41
Step-by-step explanation:
Binomial experiment:
In a binomial experiment, the probability of the success on each trial is always the same.
The probability of success on trial 4 is 0.41.
This means that the probability of success on trial 8, and all the other 10 trials, is of 0.41, and thus the correct answer is given by option B.
A ice cream shop sells 8 different flavors of ice cream with A choice of three different styles of calls how many different ice cream cones are possible if you select one ice cream flavor with one type of ice cream cone
Explanation:
There are 8 different flavors and 3 types of cones. This means there are 8*3 = 24 different combos possible.
Imagine a table with 8 rows and 3 columns. Each row is a different flavor and each column is a different cone type. The table formed has 24 inner cells to represent a different combination of flavor + cone type. So that's why we multiplied those values earlier.
Note: This only works if you're only able to select one type of flavor.
Solve the given system by the substitution method
5x + y 19
7x-2y = 13
Answer:
x = 3 , y = 4
Step-by-step explanation:
5x + y = 19 --------- ( 1 )
=> y = 19 - 5x
7x - 2y = 13 ------------ ( 2 )
Substitute y in ( 2 ) :
7x - 2( 19 - 5x ) = 13
7x - 38 + 10x = 13
17x = 13 + 38
17x = 51
x = 3
Substitute x in ( 1 ) :
5x + y = 19
5( 3 ) + y = 19
15 + y = 19
y = 19 - 15
y = 4
The sales department has determined that the average purchase value for their catalog business is normally distributed with a mean of $41.34 and a standard deviation of $13.54. What is the purchase value at the 30th percentile
Answer:
The purchase value at the 30th percentile=34.24
Step-by-step explanation:
We are given that
Mean,[tex]\mu=41.34[/tex]
Standard deviation,[tex]\sigma=13.54[/tex]
We have to find the purchase value at the 30th percentile.
[tex]xth percentile =\mu+Z\times \sigma[/tex]
Where Z is the critical value of x% confidence interval
x=30
Critical value of Z at 30% confidence interval=-0.5244
Using the formula
30th percentile=[tex]41.34+(-0.5244)(13.54)[/tex]
30th percentile=[tex]41.34-7.100376[/tex]
30th percentile[tex]\approx 34.24[/tex]
Hence, the purchase value at the 30th percentile=34.24
suppose demand is given by P-120-5Q if the price drops from 80 per unit to 60 what is the change in consumer surplus
Answer:
4
Step-by-step explanation:
p=120 -5Q
when p = 80
80 = 120 -5Q
Q=8
and when p= 60
60 = 120 -5Q
Q=12
so, change in consumer surplus = 12-8
= 4
Compare the subtraction problems (6/8-5/8=1/8) and (6/9-7/9=-1/9) why is the answer to the first problem positive nad the answer to the second problem negative select all that apply
6/9 - 7/9 = -1/9
is a negative number.
Find the volume of this sphere.
Use 3 for TT.
V [?]in3
V = Tr3
8 in
Answer:
The volume of the sphere is 2048 in³.
Step-by-step explanation:
The volume of a sphere is given by:
[tex] V = \frac{4}{3}\pi r^{3} [/tex]
Where:
r: is the radius = 8 in
Having the radius and by using 3 for π, the volume is:
[tex] V = \frac{4}{3}*3 (8 in)^{3} = 2048 in^{3} [/tex]
Therefore, the volume of the sphere is 2048 in³.
I hope it helps you!
a regular Pentagon with sides 40cm what is the perimeter
Perimeter = namely the length of outside bordering,
well, this is a PENTAgon, or PENTA=5 or namely 5 sides, is regular so each side is the same length, so we have a polygon with 5 sides each measuring 40cm, well, its perimeter is just 40+40+40+40+40 = 200.
In a race competition the probability that Harry wins is 0.4, the probability that Krish wins is 0.2 and the probability that Jonny wins is 0.3.
Find the probability that Harry and Jonny wins
Harry or Krish or Jonny wins
Someone else wins.
Answer:
jonny is the winner.
Step-by-step explanation:
No. of wins harry has = 0.4
No. of wins krish has = 0.2
No. of wins jonny has = 0.3
To find the prbability of harry and jonny = 0.4 + 0.3
= 0.7
Now to see who wins we have to add krish's wins and harry's win, because harry has the greatest number of wins.
krish = 0.2
harry = 0.4
= 0.6
now we have all three's score, so we will now see which is the greatest number.
krish= 0.6
harry = 0.4
jonny = 0.7
The greatest number is 0.7.
Hence, jonny is the winner!
HOPE IT HELPS PLZ MARK ME BRAINLIEST :D
Donald and Sara are surveying their neighbors about the community playground. Their questions, written on the survey, are below:
Donald: How many times do you visit the playground in a month?
Sara: Did you visit the playground this month?
Who wrote a statistical question and why?
Sara, because there will be variability in the responses collected
Donald, because every neighbor can give a different answer
Sara, because there can be only one answer to the question
Donald, because every neighbor will give the same answer
Answer:
B
Step-by-step explanation: Because Donald asks a more broad and open question which people could give different answers too
Match the multiplication problem on the top with the simplified polynomial on the bottom.
2x (6x² + 3x - 1)
2x(6x)
(3x + 4)(4x - 3)
(3x − 2)(4x2 + 4x – 6)
12x2
12x2 + 7x – 12
12x2 + 25x - 12
12x3 + 4x2 – 10x + 12
12x3 + 4x2 – 26x + 12
12x3 + 6x2 – 2x
Answer:
2×(6ײ+3×-1)=18.
2×(6×3×+4)(6×4×-3)=144
2×(6×3×-2)(4×2+4×-6)=1154..
12×2=24
12×2+7×-12=60
12×2+25×-12=276
12×3+4×2-10×+12=76
12×3+4×2-26×+12=8
12×3+6×2-2=46
for the equation (x+3)(x+1)=1 explain why the solutions are not -3 and -1
Answer:
Step-by-step explanation:
(x+3)(x+1)=1
x²+3x+x+3=1
x²+4x+2=0
x²+4x+4=-2+4
(x+2)²=2
x+2=±√2
x=2+√2
and x=2-√2
so x≠-3
and x≠-1
If I=square root-1 then i^2=
Answer:
i^−3 = i
i^−2 = −1
i^−1 = −i
i^0 = 1
i^1 = i
i^2 = −1
i^3 = −i
i^4 = 1
i^5 = i
i^ 6 = −1
See the pattern
11 Emilio makes metal fences.
He is making a fence using this design.
1.44 m
DO NOT WRITE IN THIS AREA
1.8 m
.
The fence will need
3 horizontal metal pieces of length 1.8m
2 tall metal pieces of length 1.44 m
5 medium metal pieces
6 short metal pieces as shown on the diagram.
The heights of the tall, medium and short metal pieces are in the ratio 9:8:7
.
How many metres of metal in total does Emilio need to make the fence?
Answer:
21.4 m
Step-by-step explanation:
Let x represent the sum of the tall metal, medium metal and short metal heights. Since the tall metal has a length of 1.44 m, and the ratio is in 9:8:7, hence:
(9/24) * x = 1.44
x = 3.84 m
For the medium metal pieces:
(8/24) * 3.84 = medium metal height
medium metal height = 1.28 m
For the short metal pieces:
(7/24) * 3.84 = short metal height
short metal height = 1.12 m
Total horizontal metal piece length = 3 * 1.8 m = 5.4 m
Total tall metal piece length = 2 * 1.44 m = 2.88 m
Total medium metal piece length = 5 * 1.28 m = 6.4 m
Total short metal piece length = 6 * 1.12 m = 6.72 m
Total length of metal = 5.4 + 2.88 + 6.4 + 6.72 = 21.4 m
Write the range of the function using interval notation.
Given:
The graph of a function.
To find:
The range of the given function using interval notation.
Solution:
Range: The set of y-values or output values are known as range.
From the given graph, it is clear that the function is defined for [tex]0<x<4[/tex] and the values of the functions lie between -2 and 2, where -2 is excluded and 2 is included.
Range [tex]=\{y|-2<y\leq 2\}[/tex]
The interval notation is:
Range [tex]=(-2,2][/tex]
Therefore, the range of the given function is (-2,2].
Please help it’s a test and I can’t get logged out
Answer:
the anwer is B ( i mean second option)
And you can try it
you will find ;
[tex]y = \frac{x}{3} - 1[/tex]
HAVE A NİCE DAY
Step-by-step explanation:
GREETİNGS FROM TURKEY ツ
A city has a population of 350,000 peopleSuppose that each year the population grows by 7.75%What will the population be after 6 years Use the calculator provided and round your answer to the nearest whole number
Answer:
547737
Step-by-step explanation:
So first when know that the equation for exponentinal growth is f(x)=a(1+r)^x
Then you need to substitue so it would be f(x)=350,000(1+0.0775)^6
So then you would add the 1 and 0.0775 to equal 1.0775
So now its f(x)=350,000(1.0775)^6
So after that following PEMDAS, you would basically do 1.0775 to the power of 6 and get 1.56496155465
After you would do 1.56496155465 times 350,000 and that would be 547736.544129 and since its to the nearest whole number the answer would be 547737
Hopefully, that helped. If I did end up making a mistake then just comment on my answer. :)
Find surface area of this regular pyramid
Answer:
189 ft²
Step-by-step explanation:
Here is the formula...
1/2 * 6 * 36 + 81
Hope this helps
Uma lâmpada de incandescência traz os seguintes dados inscritos no seu bulbo. U= 220 V e P = 100 W. Conhecendo as relações U = R. i e P = U. i , pode-se afirmar que o valor da resistência R da lâmpada durante o funcionamento é, em omhs:
Answer:
The resistance is 484 ohm.
Step-by-step explanation:
An incandescent lamp has the following data inscribed on its bulb. U= 220 V and P = 100 W. Knowing the relations U = R. i and P = U. i , it can be stated that the value of the resistance R of the lamp during operation is, in omhs:
P = 100 W
V = 220 V
Let the current is I.
P = V I
100 = 220 I
I = 0.45 A
Now,
V = I R
220 = 0.45 x R
R = 484 ohm
The resistance is 484 ohm.
Which expression is equivalent to (6x5z)3/4x4z2?
Hello!
(6x⁵z)³/4x⁴z² =
= 216x¹⁵z³/4x⁴z² =
= 54x¹¹z
Good luck! :)
Find the domain and range of the relation.
the answer is in the picture above
A charity raffle prize is $1,000. The charity sells 4,000 raffle tickets. One winner will be selected at random. At what ticket price would a ticket buyer expect to break even
Answer:
0.25
Step-by-step explanation:
Given that :
Charity raffle price = $1000
Amount of ticket sold = 4000
Only one winner is to be selected ;
Point ticket buyer is expected to break even :
Probability of winning = 1 / number of ticket sold = 1 / 4000 = 0.00025
P(winning) * raffle price = 0.00025 * 1000 = 0.25
Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 75 and a standard deviation of 9. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals. (a) Find the 41st percentile of the scores. (b) Find the 74th percentile of the scores. (c) The instructor wants to give an A to the students whose scores were in the top 8% of the class. What is the minimum score needed to get an A
Solution :
Using the TI-84 PLUS calculator
a). Area : 0.41
μ = 75
σ = 9
InvNorm(0.41,75,9)
= 72.95209525
Therefore, the 41st percentile of the scores is 72.95209525
b). Area : 0.74
μ = 75
σ = 9
InvNorm(0.74,75,9)
= 80.79010862
Therefore, the 74st percentile of the scores is 80.79010862
c). 8%
So, Area : 0.92
μ = 75
σ = 9
InvNorm(0.92,75,9)
= 87.64564405
Therefore, X = 80.79010862
Determine which diagram could be used to prove triangle ABC is congruent to triangle EDC using similarity transformations
Answer:
A
Step-by-step explanation:
edge 2021
4) Write the equation of the line passing
through (-5, 6 ) and has slope equal to 4.
Answer:
y = 4x + 26
Step-by-step explanation:
y = mx + b
The slope (m) is equal to 4.
y = 4x + b
To find the y-intercept (b), plug in the point given.
6 = 4(-5) + b
6 = -20 + b
26 = b
The answer is y = 4x + 26.
Answer:
The equation of the line passing through (-5, 6) with a slope of 4 is
y = 4x + 26
Step-by-step explanation:
An equation of a line would always have the following structure...
y = mx + b
In this equation, "y" is the y coordinate of the point, "x" is the x coordinate of the point, "m" is the slope, and "b" is the y coordinate of the y-intercept. We know all the values except "b", but we can find the value of "b" by substituting all the other values into the equation...
y = mx + b
6 = 4(-5) + b
6 = b - 20
b = 6 + 20
b = 26
Therefore, the equation of the line passing through (-5, 6) with a slope of 4 is y = 4x + 26
