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%
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Please help me! I need details please!
Use the diagram to the right.
If AD = 17 and AC = 2y - 6, find the value of y. Then find AC
and DC.
Step-by-step explanation:
if AD =17,then Dc is also 17 because from the diagram,it is given that AD=DC.
And because AD and DC are equal,it means AC = AD +DC,therefore AC = 17+17,AC =34
AC=2y-6
therefore
34=2y-6
28=2y and y=14
Answer:
Step-by-step explanation:
help pls ! (i mark brainliest).
Answer: The answer is
25 Units
Answer:
36 units
please mark me brainleast
Is 8,916,699 divisible by 4?
yes
no
Answer: no
Step-by-step explanation:
which real number lies farther from 0 on the real number line -15 or 10? Explain
Answer:
-15
Step-by-step explanation:
-15 because it's 15 units left from the origin or 0 while 10 is 10 units right from the origin or 0
the sum of 4 consecutive integers is 406. find the integers
Answer and Step-by-step explanation:
When trying to figure this out, we know that the numbers have to be one after the other, like 1, 2, 3, 4, or 55. 56, 57, 58. The last digit in the numbers also have to add to 6.
The answer is:
100 + 101 + 102 + 103
It adds up to 406, and the integers are consecutive.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Answer:
Step-by-step explanation:
let the numbers be n,n+1,n+2,n+3
n+n+1+n+2+n+3=406
4n+6=406
4n=406-6=400
n=400/4=100
then the numbers are
100,100+1,100+2,100+3
or
100,101,102,103
each of the figure below is made of the unit square which of the following figure has the maximum perimeter
6 question pls
Answer:
c is the answer
Indicate which is the largest decimal in each of the following pairs.
0.0006 and 0.006
Answer:
0.006 is the larger decimal
Answer:
0.006 is the right answer
Step-by-step explanation:
Since (0.006) has the least amount of zeros after the decimal, it would be larger than the other decimal that has more zeros after the decimal.
How many right triangles have a hypotenuse that measures 4x + 2 meters and legs that measure 4x-2 meters and x + 6 meters? What are the dimensions of the triangle(s)?
9514 1404 393
Answer:
2 triangles; x={2, 18}10 m, 6 m, 8m74 m, 70 m, 24 mStep-by-step explanation:
The given sides will form a right triangle when ...
(4x +2)² = (4x -2)² +(x +6)² . . . . . the Pythagorean theorem is satisfied
16x² +16x +4 = 16x² -16x +4 +x² +12x +36 . . . . eliminate parentheses
x² -20x +36 = 0 . . . . . simplify to standard form
(x -2)(x -18) = 0 . . . . . . factor
x = 2 or 18 . . . . . . . . values of x that make the factors zero
There are two triangles.
For x = 2
hypotenuse = 4(2) +2 = 10
leg1 = 4(2) -2 = 6
leg2 = 2 +6 = 8
dimensions are 6 m by 8 m with hypotenuse 10 m.
For x = 18
hypotenuse = 4(18) +2 = 74
leg1 = 4(18) -2 = 70
leg2 = 18 +6 = 24
dimensions are 24 m by 70 m with hypotenuse 74 m.
Point M is located at (-2,7) . If point N is 13 units away from M, how many possible coordinate pairs (x,y) could point N have?
Which expresses 0.025 as a percent?
A- 0.025%
B- 2.5%
C- 0.0025%
D- 0.25%
Answer:
a is the answer I'm 1000% sure
find the real numbers x&y so that (x^2+2xy)+i(y-1) = (x^2-2x+2y) - i(x+y)
In order for two complex numbers to be equal, their real and imaginary parts must match up.
So if
x ² + 2xy + i (y - 1) = x ² - 2x + 2y - i (x + y)
then
x ² + 2xy = x ² - 2x + 2y
and
y - 1 = -x - y
Solve for x and y : the first equation gives
x ² + 2xy = x ² - 2x + 2y
2xy = 2y - 2x
and the second gives
y - 1 = -x - y
2y = 1 - x
Substitute this into the first equation:
x (1 - x) = (1 - x) - 2x
x - x ² = 1 - 3x
x ² - 4x + 1 = 0
x = 2 ± √3
Then
x = 2 - √3 ==> y = (-1 + √3)/2
x = 2 + √3 ==> y = (-1 - √3)/2
both of which make both sides of the equation (2 - √3) + i (√3 - 3)/2.
If f(x)=2x-1and g(x)=x^2-3x-2,find( f+g)(x)
Answer:
[tex](f+g)(x)=x^2-x-3[/tex]
Step-by-step explanation:
We have [tex]f(x)=2x-1[/tex] and [tex]g(x)=x^2-3x-2[/tex]
Recall that [tex]f+g[/tex] is defined by [tex](f+g)(x)=f(x)+g(x)[/tex], therefore
[tex](f+g)(x)=f(x)+g(x)=2x-1+x^2-3x-2=x^2-x-3[/tex]
The sum of twice a number and three
I forgot how to do this for my brother
Answer:
11
Step-by-step explanation:
Add:
26 + 19 + 43
^ ^
45 + 43
88
Divide:
88 / 8 = 11
So, each tank has 11 fish.
Hope this helped.
v=n/4(c+H) what is the answer for H?
Answer:
H = (n/4v) - c
Step-by-step explanation:
I ASSUME the equation is
v = n/(4(c + H))
multiply by (c + H)
v(c + H) = n/4
divide by v
c + H = n/4v
subtract c
H = (n/4v) - c
If the equation is v = (n/4)(c + H)
Then
H = (4v/n) - c
Consider f(x)=4x and g(x) = square root of x^2-1 and h(x)= square root of 16x-1
f(x) = 4x
g(x) =
[tex] \sqrt{x^{2} \: - \: 1 } [/tex]
h(x) =
[tex] \sqrt{16x \: - \: 1} [/tex]
We want to check if h(x) = g(f(x))
So g(f(x)) =
[tex] \sqrt{(4x) {}^{2} - \: 1} [/tex]
Simplified;
g(f(x)) =
[tex] \sqrt{16x {}^{2} \: - \: 1 } [/tex]
But h(x) =
[tex] \sqrt{16x \: - \: 1} [/tex]
Hence g(f(x)) is not equal to h(x)
An alphabetic character representing a number
Answer:
a variable
Step-by-step explanation:
The answer is a variable because it's a letter that stands in place of a number
Answer:
simply refers to the type of Latin and Arabic characters representing the numbers 0 - 9, the letters A - Z
Mark wishes to pay off a loan of $7560 in 42 months. How large will the monthly payments be?
can someone show me how to do it step by step please
Answer:
The monthly payments will be $180.
Step-by-step explanation:
You only have to divide $7560 by the 42 months Mark wished to pay the loan off in.
Im giving all my points please help.
The weight of laboratory butterflies follows a Normal distribution, with a mean of 50 grams and a standard deviation of 3 grams. What percentage of the butterflies weigh between 47 grams and 53 grams?
99.7%
95%
68%
47.5%
34%
Answer:
68%
Step-by-step explanation:
please mark me brainliest
Answer: C
Hello,
Step-by-step explanation:
[tex]\overline{x}=50,\ \sigma=3,\ z=\dfrac{x-50}{3} \\\\p(47\leq x \leq 53)=p(\dfrac{47-50}{3} \leq z \leq \dfrac{53-50}{3} )=p(-1\leq z \leq 1)\\\\p(z\leq 1)=0.8413\ (in\ table)\\\\p(z\geq 1)=p(z\leq 1)=1-0.8413=0.1587\\\\p(-1\leq z \leq 1)=0.8413-01587=0.6826\\[/tex]
p≈68%
Answer C
Can anyone help me to solve this question ??
find the zeroes for P(x)=6x³-13x²+x+2 given 0.5 is one of the zeroes
The answers :
-1/3 , 0.5 , 2
Step-by-step explanation:
that means the expression is the result of a multiplication with (x-0.5) being one factor.
so, we divide the whole expression by this and then deal with the remaining quadratic equation.
6x³ - 13x² + x + 2 / x - 0.5 = 6x² - 10x - 4
- 6x³ - 3x²
----------------------------
- 10x² + x + 2
- - 10x² + 5x
----------------------------
- 4x + 2
- - 4x + 2
----------------------------
finished. 0
so, the whole expression is also
P(x) = (x-0.5)×(6x² - 10x - 4)
now we need to find the 2 zero points of the quadratic part.
the general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
a = 6
b = -10
c = -4
x = (10 ± sqrt(100 - 4×6×-4))/12 =
= (10 ± sqrt(100 + 96))/12 = (10 ± sqrt(196))/12 =
= (10 ± 14)/12
x1 = (10+14)/12 = 24/12 = 2
x2 = (10-14)/12 = -4/12 = -1/3
what’s the answer to this math problem
2 divided by 5
Answer:
2.5
Step-by-step explanation:
that was so hard to figure out tbh
Write in standard form 4.025x10 2
Answer:
402. 5
Step-by-step explanation:
This is your answer hope this helps
And also pls mark me brainliest
The volume of a sphere is a function of its radius,
V=43πr3.
Evaluate the function for the volume of a volleyball with radius
11.6
cm.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]6525\text{cm.}^3[/tex]
Keep in mind that this is APPROXIMATE.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Volume of a Sphere Is:}}\\\\V = \frac{4}{3} \pi r^3\\----------------\\\rightarrow \text{We are given the radius of } 11.6\text{ cm.}\\----------------\\V = \frac{4}{3}(3.14) (11.6)^3\\\\V = \frac{4}{3}(3.14) 1560.896\\\\V \approx 6534.95125\text{cm.}^3\\\\\boxed{V \approx 6535\text{cm.}^3}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Find the equation for the line that passes through the point (5, -1), and that is parallel to the line with the equation y =-1/4x-9/2
Answer:
y = -1/4x + 1/4
Step-by-step explanation:
y = -1/4x + b
-1 = -1/4(5) + b
-1 = -5/4 + b
b = 1/4
Which number is divisible by 10? 41 128 104 120
From this density, the probability that X is between 0.5 and 1.5 is:
a. 1/3,
b. 1/2.
c. 3/4
d. 1.
Answer:
bbbbbbbbbbbbbbbbbbbbb
From the density in the diagram, the probability that X is between 0.5 and 1.5 is 1/2. Option B
How do we solve for the probability density?The probability density function of a random variable X is a function that gives the probability that X will take on a certain value.
In this case, the probability density function is a line segment that goes from 0 to 1.
The probability that X is between 0.5 and 1.5 is the area under the probability density function between 0.5 and 1.5.
This area is equal to the length of the line segment between 0.5 and 1.5, which is 1.
Therefore, the probability that X is between 0.5 and 1.5 is 1/2. Option B
Find more exercises on probability density;
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Full question
The Probability Density Of A Random Variable X Is Given In The Following Figure.
.........................................................
|........................................................|
0 1 2
x
From this density, the probability that X is between 0.5 and 1.5 is:
a. 1/3,
b. 1/2.
c. 3/4
d. 1.
Robins 15 18 27 30 cardinals 5 6 9 10 what’s the proportionality ratio of robins to cardinals
Answer:
3:1
Step-by-step explanation:
The Robins' numbers are 3 times the cardinal's numbers, so therefore when simplified, the ratio is 3 to 1, 3:1, or 3/1.
Calculate the area of each figure.
Answer:
230[tex]cm^{2}[/tex]
Step-by-step explanation:
17*10=170
12*10*1/2=60
170+60=230
Both Raquel and Felipe attempt to make a scale drawing of the original parallelogram shown
Answer:
Both of them drew the parallelogram right.
Step-by-step explanation:
In Raquel's drawing we can see that the parallelogram is shorter and smaller but both the opposite lines are congruent to each other and match the scale size to the original drawing. And it Felipe's drawing the parallelogram is longer and bigger than the original drawing but the opposite line are also congruent to each other and match the scale size to the original drawing!!
I hope you get it right! :)