The appropriate distribution of the percentages are :
P(μ-2σ≤x≤μ) = 47.5%
P(μ-σ≤x≤μ+σ) = 68%
P(μ-2σ≤x) = 2.5%
P(μ-2σ≤x≤μ-σ) = 13.5%
For a normal distribution :
The mean, μ = 0
The mean, μ = 0The standard deviation, σ = 1
Therefore :
P(μ-2σ≤x≤μ) = P(x≤μ) - P(x≤μ-2σ)
P(x≤μ) - P(x≤μ-2σ)
P(Z ≤ μ) - P(Z ≤ 2(1))
P(Z ≤ 0) - P(Z ≤ 2)
Using the normal distribution table :
0.5 - 0.02275 = 0.47725 = 47.725% (approximately 47.5%)
P(μ-σ≤x≤μ+σ) = P(x≤μ-σ) - P(x≤μ+σ)
P(x≤μ+σ) - P(x≤μ-σ)
P(Z ≤ μ+σ) - P(Z ≤ μ-σ)
P(Z ≤ (0+1) - P(Z ≤ 0-1)
P(Z ≤ 1) - P(Z ≤ - 1)
Using the normal distribution table /
0.84134 - 0.15866 = 0.68268 = 68.268% = (approximately 68%)
P(μ-2σ≤x) = P(μ-2σ)
P(Z ≤ μ-2σ) = P(Z ≤ (0 - 2(1))
P(Z ≤ - 2) = 0.02275 = 2.275% = (approximately 2.5%)
P(μ-2σ≤x≤μ-σ) = P(x≤μ-σ) - P(x≤μ-2σ)
P(x≤μ-σ) - P(x≤μ-2σ)
P(Z ≤ μ-σ) - P(Z ≤ μ-2σ)
P(Z ≤ (0-1) - P(Z ≤ 0-2(1))
P(Z ≤ -1) - P(Z ≤ -2)
From normal distribution table :
0.15866 - 0.02275 = 0.13591 = 13.59% = approximately 13.5%
Learn more : https://brainly.com/question/14308582
The arithmetic mean of ten numbers is 36. if one of the numbers is 18,What is the mean of the other nine?
My answer is in the picture
Please and thank you and show work this question is a big chunk of my final grade
Answer:
9
Step-by-step explanation:
The trinomial square have the following form:
(a - b)²
Expanding this, the result is:
a² -2ab +b²
So, let's put x in place of a and solve it:
x² -2•x•b + b²
Now, we know that initially -2•x•b was -6x in the given trinomial square, so let's find the value of b using an equation:
-2x•b = -6x divide both sides by -2x:
b = -3
So -3 complete our trinomial square, and it is:
(x -3)²
Expanding:
x² -6x +9
What is one root of this equation?
2x^-4x+9=0
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Answer:
1 +i√3.5
Step-by-step explanation:
In vertex form, the equation is ...
2(x² -2x +1) +7 = 0
2(x -1)² +7 = 0
Then the solutions are ...
(x -1)² = -7/2
x = 1 ±i√3.5
One solution is 1+i√3.5.
what is the common factor [tex]4x^{2} -18x[/tex]
Answer:
2x(2x-9)
Step-by-step explanation:
2x is the factor.
Select the following statement that describes overlapping events.
A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond
B. Amanda rolls a three when she needed to roll an even number
C. Amanda understands that she cannot get a black diamond when playing poker
D. Amanda wants a black card so she can have a winning hand, and she receive the two of hearts
Answer:
Step-by-step explanation:
Having a jack and also having a diamond, satisfies two sets in a Venn diagram. An overlapping set is the intersection of the two. So A is the only one that can be in an intersection of these two sets.
The statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.
What are overlapping events in probability?Events that share one or more outcomes are said to be overlapping events.
How to solve the question?In the question, we are asked for the statements from the given options that describe overlapping events.
To check for overlapping events, we analyze each option as follows:-
A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond. The receiving of a jack of diamond shows an overlapping event, with the overlapping of the events of getting a jack and getting a diamond.B. Amanda rolls a three when she needed to roll an even number. The rolling of a three when the requirement was to roll an even number doesn't show an overlapping event as three doesn't fall in even numbers.C. Amanda understands that she cannot get a black diamond when playing poker. The event of getting a black diamond is not overlapping as black cards are spades and clubs, and not diamonds.D. Amanda wants a black card so she can have a winning hand, and she receives the two of hearts. The event of receiving two of hearts when the requirement was of a black card is not an overlapping event as two of hearts is not a black card.Thus, the statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.
Learn more about overlapping events at
https://brainly.com/question/17253921
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put the bracket in the correct place
10-3x4-2+1=5
Answer:
10-(3×4)-2+1=5
10-12-3=5
10-15=5
10=5+15
10=20
20-10
10
Answer:
[10 - 3 × (4-2)] +1= 5
.......
A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimeters per minute. And find the angular speed of the CD in radians per minute
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Answer:
16,965 mm/min90π ≈ 282.7 radians/minStep-by-step explanation:
The circumference of the CD is ...
C = πd
C = π(120 mm) ≈ 376.99 mm
This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:
(376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min
__
There are 2π radians in each revolution, so the angular speed is ...
(2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min
which of these is right
Answer:
A
Step-by-step explanation:
For each point along it goes 1 point up, if it was 4x it'd go 4 points up
What is the sum of -14
and -15?
Answer:
-29
Step-by-step explanation:
(-14) + (-15) =
-14 - 15 =
-29
Simplify: a(3+5a)-4(a2+5)
Answer:
[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]
Step-by-step explanation:
We want to simplify the expression:
[tex]a( 3 + 5a) - 4(a^2 +5)[/tex]
Distribute:
[tex]\displaystyle = (3a + 5a^2) + ( -4a^2 - 20)[/tex]
Rearrange:
[tex]\displaystyle = (5a^2 - 4a^2) + (3a) + (-20)[/tex]
Combine like terms:
[tex]\displaystyle = a^2 + 3a -20[/tex]
In conclusion:
[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]
what fraction of the Earth's surface would be covered by the surface of the moon,if the radius of the Earth is 6,378km and the radius of the moon is 1.741km?
Answer:
3031081 / 40678884
Step-by-step explanation:
To solve this, we can find the surface area of the moon and Earth, and then see how much the moon covers the Earth. The surface area of a sphere is equal to 4πr², so the radius of the Earth is
4πr² = 4 * π * 6378²
and the radius of the moon is
4πr² = 4 * π * 1741²
To figure out how much of the Earth's surface that the moon covers, we can implement a ratio of moons:Earth. This will give us an understanding of how many moons go inside one Earth. We thus have
(4 * π * 1741²) : ( 4 * π * 6378²) = (4 * π * 1741²) / ( 4 * π * 6378²)
cross out the 4 * π in the numerator and denominator
1741²/6378²
Next, we want to make the denominator 1, as that gives us 1 Earth. To do this, we can divide both the numerator and denominator by 6378². Because we are applying the same expression to both the numerator and denominator, this is essentially multiplying the fraction by 1, keeping it the same. We thus have
(1741²/6378²)/(6378²/6378²)
≈0.0745/1
≈ 0.0745
To put this in a fraction, we would have
(1741²/6378²)/1
= (1741²/6378²)
= 3031081 / 40678884
PLssssssss helppppppppppppppppppppppp
Answer:
6 ft
Step-by-step explanation:
Evaluate (y - 9) + (3 + x), when y = 15 and x = 5
Hi ;-)
[tex]y=15 \ and \ x=5\\\\(y-9)+(3+x)=(15-9)+(3+5)=6+8=\boxed{14}[/tex]
Answer:
14
Step-by-step explanation:
(y-9)+(3+x)
(15-9)+(3+5)
6+8
14
Proteins have a variety of functions within a living cell. What are the possible functions of proteins, and how can proteins be so diverse?
Proteins are made of amino acids bonded together in a variety of ways and can function as enzymes, transport, and structure.
Proteins consist of monomers of glucose bonded together in a variety of ways and can function as energy, enzymes, and transport.
Proteins function as storage, movement, and defense and are diverse due to the arrangement of the nucleic acids.
Proteins function as insulation, protection, and defense and are diverse due to the arrangement of the fatty acids.
Proteins consist of monomers of glucose bonded together in a variety of ways and can function as energy, enzymes, and transport. Proteins function as storage, movement, and defense and are diverse due to the arrangement of the nucleic acids.
Answer:
The correct answer to the question is, proteins are made of amino acids bonded together in a variety of ways and can function as enzymes, transport, and structure.
One of the abundant organic molecules in living systems is the proteins. Proteins have the most various ranges of functions of all macromolecules.
Further Explanation
They may be regulatory, contractile, structural or protective. They serve in membranes, transport or storage. In a living system, each cell may have thousands of different proteins and performs different functions. Proteins function and structures differ. However, all proteins are polymers of amino acid which are arranged in linear sequence.
Proteins perform a lot of functions and this is because there are 20 chemically distinct amino acids which constitute the long chains and the amino can take different order. For instance, proteins can function as hormones or enzymes. Living cells produced enzymes and are catalyst in chemical reaction. They are usually proteins. Enzymes can function to rearrange bond, to break bonds, or formation of new bonds. One of the examples of enzymes is salivary amylase, which is a component of starch. Hormones are usually proteins or steroids, which are secreted by a group of endocrine cells that control physiological process such as metabolism, reproduction and growth.
The monomers comprises of proteins are called amino acid and each amino acid has structures that make up of central carbon atom bonded into amino group.
KEYWORDS:
amino acid
proteins
enzymes
transport
hormones
[tex]7w+2=3w+94[/tex]
Answer:
7w+2=3w+94
Subtract 3w from both sides.
7w+2−3w=94
Combine 7w and −3w to get 4w.
4w+2=94
Subtract 2 from both sides.
4w=94−2
Subtract 2 from 94 to get 92.
4w=92
Divide both sides by 4.
w=492
Divide 92 by 4 to get 23.
w=23
Answer:
23
Step-by-step explanation:
7w + 2 = 3w + 94 Subtract 2 from both sides
7w = 3w + 94 - 2
7w = 3w + 92 Subtract 3w from both sides
4w = 92 Divide by 4
w = 92/4
w = 23
ans all these questions please
Answer:
the answer is in picture
PLS HELPP , i tried solving this and i wrote 56 but it was wrong so i don’t know anymore pls pls help
Answer:
y = 68
A = 44
Step-by-step explanation:
No matter what may be true, that doesn't look like an a to me.
x = y = 68 x and y are opposite equal sides and are therefore =.
68 + 68 + A = 180 all triangles are 180 degrees.
136 + A = 180 Subtract 136 from both sides
A = 180 - 136
A = 44
the height of each door on the plan is given 1,5cm but the height of each door is 1,92m is an actual size.show that the scale of the house is 1:128
Answer:
It is.
Step-by-step explanation:
1.5cm is in the plan.
1.92m is in real life.
We need to convert m to cm so 1.92m=192cm
The ratio is 1:128.
1.5cm in plan as is 192 cm in real life.We write that as the ratio of: 1.5 : 192.
We need to prove that it is the actual scale so we equal this ratio(1.5:192) and the other ratio(1:128):
1.5 : 192 = 1 : 128
Then we multiply the numbers that are in and out of the equation like this:
1.5 * 128 = 192 * 1
192 = 192 It is proven beacuse the numbers are equal. The scale of the house is 1:128
Reading - Word - Level 1
Vocabulary
Page 21
*
Safety is the number one priority at our trampoline parks.
That's why every session is supervised by our trained staff.
However, we cannot do it alone. We ask that parents and
guardians make sure their children follow our rules.
Informative
Persuasive
Answer:
crisp, clean, formal, readable
Step-by-step explanation:
Help thank you ………….
Answer:
The answer is option 1
Step-by-step explanation:
For the linear inequality on the top line of the system, it's saying that the y-value must be greater than or equal to 1. This is verified by the graph because all y-values that fit the criteria of the linear inequality are shaded. The graph is also showing for the dotted line that the area is shading all points where, if you subtract an x-value from a y-value, the difference will always be greater than 0. Note that this does not apply for points ON the line, as it cannot be equal to 0. This matches with the linear inequality on the bottom line of option 1.
After subtracting 20% of a number from a number we get 12975.what was the number?
Answer:
Step-by-step explanation:
d
if M∠ ABD =64 and M∠CBD=30 then M∠ABC=
Need help
Answer:
[tex]\displaystyle m\angle ABC = 34^\circ[/tex]
Step-by-step explanation:
∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:
[tex]\displaystyle m\angle ABD = m\angle ABC + m\angle CBD[/tex]
Substitute in known values:
[tex]\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)[/tex]
And subtract. Hence:
[tex]\displaystyle m\angle ABC = 34^\circ[/tex]
In conclusion, ∠ABC measures 34°.
The shaded rectangle, which is the correct expression of its perimeter
Answer:
2x + 2y - 4
Step-by-step explanation:
The opposite sides are congruent so perimeter (P) is
P = 2(x + 2) + 2(y - 4)
= 2x + 4 + 2y - 8
= 2x + 2y - 4
suppose an object traveling in a straight line has a velocity function given by v(t)= t^2 -8t+ 15 km/hr. Find the displacement and distance traveled by the object from t=2 to t=4 hours.
v=t^2-8t+15
It has upper limit 4 and lower limit 2[tex]\boxed{\sf {\displaystyle{\int}^b_a}x^ndx=\left[\dfrac{x^{n+1}}{n+1}\right]^b_a}[/tex]
[tex]\\ \sf\longmapsto s={\displaystyle{\int}}vdt[/tex]
[tex]\\ \sf\longmapsto s={\displaystyle{\int^4_2}}t^2-8t+15[/tex]
[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-8\dfrac{t^2}{2}+15t\right]^4_2[/tex]
[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-4t^2+15t\right]^4_2[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{4^3}{3}-4(4)^2+15(4)\right)-\left(\dfrac{2^3}{3}-4(2)^2+15(2)\right)[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-64+60\right)-\left(\dfrac{8}{3}-16+30\right)[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-4\right)-\left(\dfrac{8}{3}+14\right)[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-4-\dfrac{8}{3}-14[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-\dfrac{8}{3}-4-14[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{46}{3}-18[/tex]
[tex]\\ \sf\longmapsto s=15.3-18[/tex]
Take it +ve[tex]\\ \sf\longmapsto s=|-2.7|[/tex]
[tex]\\ \sf\longmapsto s=2.7km[/tex]
Is the product of a rational number and an irrational number always irrational?
Answer:
The product of any rational number and any irrational number will always be an irrational number.
Step-by-step explanation:
solve for x,
7x+14÷3 - 17-3x ÷5=6x - 4x+2÷3-5
Answer: x = 4
Step-by-step explanation:
Given equation
7x + 14/3 - 17 - 3x = 6x - 4x + 2/3 - 5
Combine like terms on both sides
(7x - 3x) + 14/3 - 17 = (6x - 4x) + 2/3 - 5
4x + 14/3 - 17 = 2x + 2/3 - 5
Subtract 2/3 on both sides
4x + 14/3 - 17 - 2/3= 2x + 2/3 - 5 - 2/3
4x + 12/3 - 17 = 2x - 5
4x + 4 - 17 = 2x - 5
4x - 13 = 2x - 5
Add 13 on both sides
4x - 13 + 13 = 2x - 5 + 13
4x = 2x + 8
Subtract 2x on both sides
4x - 2x = 2x + 8 - 2x
2x = 8
Divide 2 on both sides
2x / 2 = 8 / 2
[tex]\boxed{x=4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
In a group 40% like football ,70% like cricket and 30% like both games
Answer:
15% for both games
Step-by-step explanation:
30%÷2=15%
HURRY QUICK PLEASE HELP!!
Which expression is equivalent to 10V5?
A.V500
B. V105
C. V50
D. V15
Answer:
A
Step-by-step explanation:
Answer:
Answer: A. √500
Step-by-step explanation:
[tex]10 \sqrt{5} \\ = (\sqrt{ {10}^{2} } ) \times ( \sqrt{5} ) \\ = \sqrt{100} \times \sqrt{5} \\ = \sqrt{500} [/tex]
two cars start at the same point.one travel's north at 65 km/h and the other travel's east at 50km/h.How far are they apart after 30 minutes?
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Answer:
41 km
Step-by-step explanation:
The first car is 32.5 km north after 1/2 hour. The second car is 25 km east after 1/2 hour. The Pythagorean theorem tells you the straight-line distance between them:
d = √(32.5² +25²) = √1681.25 ≈ 41.00
The cars are about 41 km apart after 1/2 hour.
Which one of the following statements must be true about the kite shown?
A. AB ≅ CB
B. BD ≅ AC
C. CD≅ BC
D)
≅
Answer:
answer is Afridi.AB=CB
