Answer:
1.18
Step-by-step explanation:
Given the data:
X 0 1 2 3 4 5
P(X) 0.10 0.20 0.45 0.15 0.05 0.05
E(x) = (0*0.1) + (1*0.2) + (2*0.45) + (3*0.15) + (4*0.05) + (5*0.05) = 2
Var(x) = [((0^2)*0.1)+((1^2)*0.2)+((2^2)*0.45)+((3^2)*0.15)+((4^2)*0.05)+((5^2)*0.05)] - 2²
5.4 - 4
= 1.4
Standard deviation = √var(x)
Standard deviation = √1.4
Standard deviation = 1.183
Standard deviation = 1.18
Answer:
hope this helps.enjoy
Rectangle ABCD is congruent to rectangle HGJK.
Rectangles A B C D and H G J K are shown. The length of A B is 11 inches. The length of K H is 18 inches.
What is the area of rectangle ABCD?
square inches
Answer:
It is 198
Step-by-step explanation:
(Width)(Height)
mutliply (11) times (18)
The area of rectangle ABCD is 198 square inches
The given parameters are:
[tex]\mathbf{AB = 11}[/tex]
[tex]\mathbf{KH = 18}[/tex]
Because the rectangles are congruent, then:
[tex]\mathbf{HG = AB = 11}[/tex]
[tex]\mathbf{KH = DA= 18}[/tex]
So, the area of rectangle ABCD is the product of side lengths AB and DA
So, we have:
[tex]\mathbf{Area = AB \times DA}[/tex]
Substitute values for AB and DA
[tex]\mathbf{Area = 11 \times 18}[/tex]
[tex]\mathbf{Area = 198}[/tex]
Hence, the area of rectangle ABCD is 198 square inches
Read more about areas at:
https://brainly.com/question/9655204
What is the
Slope of this diagram?
What is the slope of the line going through the points (2,5) and (-4,-1)?
Determine if the following argument always applies, sometimes applies, or never applies. Provide at least 2 examples in your explanation.
"The sum of a number and its opposite is always 1."
Answer:
Never applies
Step-by-step explanation:
Given
Argument: The sum of a number and its opposite is always 1
Assume a positive number x
The opposite of the number is negative x (i.e. -x)
The sum of both numbers is:
[tex]Sum = x + (-x)[/tex]
Open Bracket
[tex]Sum = x -x[/tex]
[tex]Sum = 0[/tex]
Now, take for instance.
[tex]Number = 5[/tex]
Opposite would be
[tex]Opposite = -5[/tex]
Their sum is:
[tex]Sum = 5 + (-5)[/tex]
[tex]Sum = 5 -5[/tex]
[tex]Sum = 0[/tex]
Another instance is:
[tex]Number = -8[/tex]
Opposite would be
[tex]Opposite = 8[/tex]
Their sum is;
[tex]Sum = -8 + 8[/tex]
[tex]Sum = -0[/tex]
Hence, the argument never applies because the sum is never 1
A copy machine can print 48 copies every 4 minutes. A teacher printed 72 copies how long did it take to print
Answer:
6 minutes
Step-by-step explanation:
72-48 = 24
so 24 + 48 = 72
and 48 / 4=12
which means 12 copies per minute and 24 copies is 2 minutes
Why are arithmetic sequences discrete data?
Answer:
If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
Step-by-step explanation:
Answer:
A sequence is a discrete structure used to represent an ordered list.
Step-by-step explanation:
Discrete values are values between the terms if the sequences are not included in the sequence. If you collect all the terms of the sequence into a set, that set will always be discrete, because there's only countably many of them, and every interval is uncountable. So in that sense, yes, sequences are discrete. A sequence is a discrete structure used to represent an ordered list. A sequence is a function from a subset of the set of integers (usually either the set {0,1,2,. . .} or {1,2, 3,. . .}to a set S. We use the notation an to denote the image of the integer n. We call an a term of the sequence.
What is the probability that a coin tossed in the air will land heads up? 25% 50% 75% 100%
Answer:
50%
Step-by-step explanation:
Answer: 50%
Step-by-step explanation: the normal probability is 1/2 sooo it translates to 50/100 which is 50%
22. Mark is making a small frame in the
shape of an equilateral triangle with the
dimensions shown below. What is the
perimeter of the frame?
Plz Help me
Answer:
B)9.5
Step-by-step explanation:
How do you do this question?
Step-by-step explanation:
A Maclaurin series is a Taylor series that's centered at 0.
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) / n! xⁿ
If we substitute f⁽ⁿ⁾(0) = (n + 1)!:
f(x) = ∑ₙ₌₀°° (n + 1)! / n! xⁿ
f(x) = ∑ₙ₌₀°° (n + 1) xⁿ
Use ratio test to find the radius of convergence.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(n + 2) xⁿ⁺¹] / [(n + 1) xⁿ]│< 1
lim(n→∞)│(n + 2) x / (n + 1)│< 1
│x│< 1
R = 1
How long will it take an investment to double in value if the interest rate is 6% compounded continuously
Answer:
11.55 years
Step-by-step explanation:
Formula to calculate the final value when the money is compounded continuously is,
Final value = [tex]\text{(Present value)}.e^{rt}[/tex]
Here 'r' = rate of interest
t = duration for the investment
Let the money invested = $x
We have to find the duration in which the present value gets doubled.
Final value = $2x
Rate of interest = 6% per year ≈ 0.06
By substituting these values in the formula,
[tex]2x=x.e^{0.06t}[/tex]
[tex]2=e^{0.06t}[/tex]
ln(2) = [tex]\text{ln}e^{0.06t}[/tex]
0.693147 = 0.06t
t = 11.55 years
Therefore, invested amount will be doubled in 11.55 years.
Which of the following sets of numbers can be the lengths of the sides of a triangle?
Answer:
A. 2.6, 8.1, 10.2
Step-by-step explanation:
According to the Triangle Inequality, the sum of any two sides has to be greater than the third side. From those answer choices, only 2.6, 8.1, 10.2 satisfy the Triangle Inequality.
WHAT ARE THE X AND Y INTERCEPTS FOR THIS??
PLEASE ANSWERRRRR
Answer:
Y-intercept = 0.4
X-intercept = 0.3
Step-by-step explanation:
Suppose a population has a mean weight of 180 pounds and a standard deviation of 25 pounds. A sample of 100 items is drawn from this population. What is the standard error of the mean?
Answer:
We are given:
μ=180,σ=25,n=100
Therefore the standard error of the mean is
2.5
Step-by-step explanation:
Jared tiene 8 dibujos. Le
regaló algunos a Wendy.
Jared ahora tiene
O dibujos. ¿Cuántos
dibujos le regaló
Jared a Wendy?
Answer
8.
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
After a party there were 2 2/3 pepperoni pizzas and 1 5/6 cheese how many pizzas are left?
Answer:
4.5
Step-by-step explanation:
2+1=3
2/3+5/6=1.5
3+1.5=4.5
The surface area of a sphere is π sq.cm.If it's radius is doubled,by how much does its surface area increase?
Answer:
Doubling the radius of a sphere will increase its surface area 4 times
Step-by-step explanation:
The surface area of a sphere with radius r is given by the formula:
[tex]SA = 4\pi r^2[/tex]
Doubling the radius means: r=> 2r
Putting the new radius the new surface area will be:
[tex]SA_1 = 4\pi (2r)^2\\SA_1 = 4\pi (4r^2)\\SA_1 = 4(4\pi r^2)\\SA_1 = 4(SA)[/tex]
The new surface area with double radius is 4 times of the old surface area with r.
Hence,
Doubling the radius of a sphere will increase its surface area 4 times
7/3 to 2 1/3
HELP ASAP PLSPLS !! :)
about how many 18s are there in 250?a.10 b.12 c.15
Answer:
C. 15
Step-by-step explanation:
It's 13.888 about 14, so 15 is the closest answer.
b
Step-by-step explanation:
taking 250÷18=13.88~
Please answer!! Will make brainliest (Photo is the question)
Solve the equation -11<-x+2<3
Answer:
13 > x > -1
Step-by-step explanation:
-11 < -x + 2 < 3
~Subtract 2 both sides
-13 < -x < 1
~Divide -1 to both sides
13 > x > -1
Best of Luck!
Help please! I’ll give brainliest!
Answer:
i think the answer is B
i am sorry if this is wrong
Step-by-step explanation:
Find the polar equivalent of xy=6
Answer:
[tex]r^2 sin2\theta = 12[/tex]
Step-by-step explanation:
Given
[tex]xy = 6[/tex]
Required
Get polar equivalent
Polar coordinate [tex](r, \theta)[/tex] and rectangular coordinate [tex](x,y)[/tex] are related in such a way that:
[tex]x = rcos\theta[/tex] and [tex]y = rsin\theta[/tex]
So, substitute [tex]x = rcos\theta[/tex] and [tex]y = rsin\theta[/tex] in [tex]xy = 6[/tex]
[tex]rcos\theta * rsin\theta = 6[/tex]
This can be rewritten as:
[tex]r * cos\theta * r * sin\theta = 6[/tex]
Reorder
[tex]r * r * cos\theta * sin\theta = 6[/tex]
[tex]r^2 * cos\theta * sin\theta = 6[/tex]
Multiply both sides by 2
[tex]2 * r^2 * cos\theta * sin\theta = 6 * 2[/tex]
[tex]2 * r^2 * cos\theta * sin\theta = 12[/tex]
Reorder
[tex]r^2 * 2 * cos\theta * sin\theta = 12[/tex]
[tex]r^2 * 2cos\theta sin\theta = 12[/tex]
In trigonometry:
[tex]sin2\theta = 2sin\theta cos\theta = 2cos\theta sin\theta[/tex]
So, the expression becomes
[tex]r^2 * sin2\theta = 12[/tex]
[tex]r^2 sin2\theta = 12[/tex]
Hence, the equivalent of [tex]xy = 6[/tex] is [tex]r^2 sin2\theta = 12[/tex]
Identify and write the hypothesis and the conclusion of the following conditional statement. "If I am running, then I am not awake."
Answers:
Hypothesis = "I am running"
Conclusion = "I am not awake"
===================================
Explanation:
All conditional statements are in the form "If P, then Q" where P and Q are placeholders for the hypothesis and conclusion respectively.
So you can say the basic format of a conditional is "If hypothesis, then conclusion".
Help due in a bit!
subject: Pythagorean Theorem
Do the following lengths form a right triangle?
Answer:
alright this is an easy question to do u have to use the Pythagorean theorem which is a²+b²=c²
so put the number of the triangle in this form for #1
Step-by-step explanation:
1.6²+9²=8²
=117=64
2.5²+13²=12²
=194=144
Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c
Which of the following would be equivalent to 92.96?
(4 points)
(1.) 9^8/9^7
(2.) 8^2 • 9^7
(3.) 9^10/9^2
(4.) 90
Please help, Thanks
Answer:
(4.) 90
I think that's the answer
what is a square of side 8cm
Answer:
32cm^2
Step-by-step explanation:
8 x 4 = 32
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
which graph represents the function h(x)=2sin(x+pi/2)-1 ?
This graph represents the function h(x)=2sin(x+π/2)-1.
What is graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
This graph represents the function h(x)=2sin(x+π/2)-1.
The range is the set of values that correspond with the domain.
Domain of graph: (−∞,∞),{x|x∈R}
Range of graph: [−3,1],{y|−3≤y≤1}
Use the form asin (bx−c)+d to find the amplitude, period, phase shift, and vertical shift.
Amplitude: 2
Period: 2π
Phase Shift: −π/2 (π/2 to the left)
Vertical Shift: −1
Learn more about graph
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What is twenty six million four hundred five thousand twenty in standard form?
Answer:
26,405,020
Step-by-step explanation:
Answer:
26,405,020
Step-by-step explanation:
hope this helpssss
have a good nighttttt
PLEASE HELP AND BE REAL I WILL GIVE BRAINLY. Simplify 8.7+ (1.5) ²+4(3.5+6.2)-3.1 - 3.5
Answer:
43.15
Step-by-step explanation:
See attachment below