You are falling by [tex]32[/tex],
[tex]128, 128 - 32, 128 - 32\cdot2,\dots[/tex]
In general your sequence is defined as,
[tex]a_n=128-32\cdot n[/tex] where [tex]0\leq n \lt\infty[/tex].
The question is at which [tex]n[/tex] does the value [tex]a_n=0[/tex].
If you divide [tex]128[/tex] with [tex]32[/tex] you get the number of steps needed to stuff [tex]128[/tex] with [tex]32[/tex], [tex]4[/tex].
If you plug in [tex]n=4[/tex], you get [tex]a_4=128-32\cdot4[/tex], since [tex]32\cdot4=128[/tex] you get [tex]a_4=0[/tex].
The zero turn of the arithmetic sequence is thus at [tex]n=4[/tex].
Hope this helps :)
Use the figure to name a plane containing point Z.
20×2×÷
2920w0#
393020×22¥3¥
3i839393
Answer:
if we join the angle Z the it will formed as acute angle
if you like ans hit like
thank you
The random variable X has the following probability mass function.
X -1 0 2 6 7
P(x) 0.3 0.1 0.3 0.2 0.1
Required:
a. Find the probability P( -1 < X ≤ 2) = ______
b. Find the cumulative distribution function F(x) and calculate F(3.2) = _____________
c. E(X) = ___________
d. Var(X) = __________
e. Suppose the number of errors in a piece of software has a Poisson distribution with parameter λ=3. The probability that there are 5 errors in a piece of software is ____.
Given the PMF
[tex]P(X=x) = \begin{cases} 0.3 & \text{if } x \in \{-1, 2\} \\ 0.1 & \text{if } x \in \{0, 7\} \\ 0.2 & \text{if } x = 6 \\ 0 & \text{otherwise} \end{cases}[/tex]
(a)
[tex]P(-1 < X \le 2) = P(X = 0) + P(X = 2) = 0.1 + 0.3 = \boxed{0.4}[/tex]
(b) The CDF is defined as [tex]F_X(x) = P(X \le x)[/tex], so that
[tex]F_X(x) = \begin{cases} 0 & \text{if } x < -1 \\ 0.3 & \text{if } -1 \le x < 0 \\ 0.4 & \text{if } 0 \le x < 2 \\ 0.7 & \text{if } 2 \le x < 6 \\ 0.9 & \text{if } 6 \le x < 7 \\ 1 & \text{if } x \ge 7 \end{cases}[/tex]
It follows that
[tex]F(3.2) = \boxed{0.7}[/tex]
(c) Expectation is defined as
[tex]E[X] = \displaystyle \sum_x x\,P(X=x)[/tex]
We have
[tex]E[X] = \displaystyle \sum_{x\in\{-1,0,2,6,7\}} x\,P(X=x) \\\\ E[X] = -P(X=-1) + 2P(X=2)+6P(X=6)+7P(X=7) \\\\ E[X] = -0.3 + 0.6 + 1.2 + 0.7 = \boxed{2.2}[/tex]
(d) First compute the second moment of X, which is defined as
[tex]E[X^2] = \displaystyle \sum_x x^2\,P(X=x)[/tex]
We get
[tex]E[X^2] = (-1)^2P(X=-1) + 2^2P(X=2) + 6^2P(X=6) + 7^2P(X=7) \\\\ E[X^2] = 0.3 + 1.2 + 7.2 + 4.9 = 13.6[/tex]
Variance is defined as
[tex]\mathrm{Var}[X] = E[(X - E[X])^2] = E[X^2] - E[X]^2[/tex]
so it follows that
[tex]\mathrm{Var}[X] = 13.6 - 2.2^2 = \boxed{8.76}[/tex]
(e) Not sure what this part has to do with the rest of the question. At any rate, if Y is a random variable following a Poisson distribution with λ = 3, then Y has a PDF of
[tex]P(Y=y) = \begin{cases}\dfrac{e^{-3}\times3^y}{y!}&\text{if }y\in\{0,1,2,\ldots\}\\\\0&\text{otherwise}\end{cases}[/tex]
Then
[tex]P(Y > 5) = 1 - P(Y \le 5) = 1 - P(Y=0) - P(Y=1) - \cdots - P(Y=5) \\\\ P(Y>5) = \dfrac{5e^3-92}{5e^3} \approx \boxed{0.0839}[/tex]
which of the following is a correct tangent ratio for the figure?
A) tan(76degrees)= 24/8
B) tan (76degrees) = 8/24
C) tan (24degrees)= 76/8
D) tan (8degrees) = 24/76
Answer:
tan 76 = 24/8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 76 = 24/8
Given f(x)=x^2 and G(x)=x-1
9514 1404 393
Answer:
g(f(7/3)) = 4 4/9
Step-by-step explanation:
g(f(7/3)) = g((7/3)²) = g(49/9) = 49/9 -1 = 40/9
g(f(7/3)) = 4 4/9
X/2-7=9 find answer for x
Answer:
x=-14
Step-by-step explanation:
The midpoint of AB is (1, 2). The coordinates of A are (-3,6).Find the coordinates of B.
Midpoint has coordinates [tex](x_m,y_m)[/tex] which equal to,
[tex]x_m=\frac{x_1+x_2}{2}[/tex]
[tex]y_m=\frac{y_1+y_2}{2}[/tex]
We know the coordinates of a midpoint as well as the coordinates of [tex]A(x_1,y_1)[/tex] so we should be able to find coordinates of [tex]B(x_2,y_2)[/tex].
First solve both equations for [tex]x_2[/tex] and [tex]y_2[/tex] respectively,
[tex]x_2=2x_m-x_1[/tex]
[tex]y_2=2y_m-y_1[/tex]
Now insert the data,
[tex]x_2=2\cdot1-(-3)=\boxed{5}[/tex]
[tex]y_2=2\cdot2-6=\boxed{-2}[/tex]
The coordinates of B are therefore [tex](5,-2)[/tex].
Hope this helps :)
The midpoint of AB is (1, 2) the coordinates of A are (-3,6) coordinates of B coordinates of point B are (5, -2).
To find the coordinates of point B given that the midpoint of AB is (1, 2) and the coordinates of A are (-3, 6), use the midpoint formula:
Midpoint formula: M(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)
Given that M is the midpoint (1, 2) and A is (-3, 6), we have:
(1, 2) = ((-3 + x2) / 2, (6 + y2) / 2)
Solve for x2 and y2:
For x-coordinate:
1 = (-3 + x2) / 2
2 = -3 + x2
x2 = 2 + 3
x2 = 5
For y-coordinate:
2 = (6 + y2) / 2
4 = 6 + y2
y2 = 4 - 6
y2 = -2
To know more about coordinates here
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Plss help number is 21952 and 115248
Answer:
Step-by-step explanation:
Bonjour,
2^4 * 7^3 => 16* 343 = 5488
21 952 / 5 488 =4
115 248/5 488 = 21
9514 1404 393
Answer:
2⁴·7³
Step-by-step explanation:
The set of primes that are factors of 21952 is {2, 7}.
The set of primes that are factors of 115248 is {2, 3, 7}.
Common factors are primes that are in the intersection of these sets: {2, 7}. The index associated with the greatest common factor is the smallest index of each of these primes in the prime factorization of those numbers.
The prime 2 is seen to have indices of 6 and 4. 4 is the smallest.
The prime 7 is seen to have indices of 3 and 4. 3 is the smallest.
So, the Highest Common Factor of the two numbers is 2⁴·7³.
Reason Is Figure B a transformation
or why not?
Answer:
yes it is a dilation
Step-by-step explanation:
a dilation makes the size different but shape the same. as we can see the shape is the same meaning this is a non rigid motion or called a dilation.
6.8x+9.3 = -9.4+3.4(2-5x)
Answer:
22/12
Step-by-step explanation:
98-8x=14+12(2-5x)
98-8x=14+24-60x
-8x +60x=10-9
52x=88
x=22/13
this is a for real question i need some help
Answer:
5/12
Step-by-step explanation:
Multiply [tex]\frac{1}{2}[/tex] times [tex]\frac{5}{6}[/tex] by multiplying the numerator times the other numerator and the denominator by the other denominator. Which leaves you with [tex]\frac{5}{12}[/tex].
hope this helps!
y/5+7=9 solve the problem by using addition or subtraction and multiply and divide
Answer:
y=10
Step-by-step explanation:
y/5+7=9
y/5=9-7
y/5=2
y=2*5
y=10
Which of the following functions best represents the graph?
f(x) = (x + 3)(x − 3)(x − 9)
f(x) = (x + 3)(x − 3)(x + 9)
f(x) = (x + 3)(x − 3)(x − 1)
f(x) = (x + 3)(x − 3)(x + 1)
Answer:
f(x) = (x + 3)(x − 3)(x − 1)
Step-by-step explanation:
The roots are at -3, -1 and 3 therefore the 3rd option is correct.
Answer:
The answer is D
Step-by-step explanation:
Attatched photo for proof
8 x the zero power of ten
A shirt retails for $22.40. A 10% tax is then applied to the original. What’s the final price after tax?
Answer:
24.64
Method:
You get 10% of the shirt cost, and it on to the 22.40
Select the best answer for the question.
13. What's the sum of 25 and 24?
A. %10
B.1%20
c.
D. 8/20
Answer:
Sum means addition so you add them together. I don't know why there are a bunch of percentage signs but the answer is 49.
which expression represents the phrase below?
8 less than the product of 6 and a number, x
Answer:
6x-8
Step-by-step explanation:
less than means it comes after
product of 6 and a number x
6x
8 less than
6x-8
3(2x - 1) = 1/2 (4x - 2) + 2
What would it be?
Answer:
X = 1
Step-by-step explanation:
Just distribute properly, and distribute the fraction multiplying the numerator by 4 and 2
Answer:
[tex]3(2x - 1) = 1 \div 2(4x - 2) + 2 \\ 3 \times 2x - 3 \times 1 = .5 \times 4x - .5 \times 2 + 2 \\ 6x - 3 = 2x - 1 + 2 \\ x \: togather \\ 6x - 2x = - 1 + 2 + 3 \\ 4x = 4 \\ x = 4 \div 4 \\ x = 1[/tex]
Karen flipped a coin 50 times, and the coin came up heads 28 times.
What is the relative frequency of tails in this experiment?
0.28
0.22
0.56
0.44
The relative frequency of tails in the experiment is 0.44
In a coin flip; the outcome is either a Head(H) or Tail(T)
Since;
Total number of flips = 50
Number of heads = 28
Number of tails = 50 - 28 = 22
Recall :
Relative frequency = Number of preferred outcome / Total frequency
Hence, the relative frequency of tail will be :
Number of tails / total number of flips = 22 / 50 = 0.44
Therefore, the relative frequency of tails in the experiment is 0.44
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Here we have a problem of relative frequency.
We do know that if you perform a given experiment N times (flipping the coin in this case), and a given outcome happens n times, the relative frequency of that event is:
rf = n/N
With this, we will find that the relative frequency of tails is 0.44
We do know that:
The experiment was performed 50 times, then N = 50
The coin came up heads 28 times.
Then the other 22 times the coin came up tails.
We want to get the relative frequency of tails in this experiment, then we have n = 22
Using the general formula, we can see that:
rf = n/N = 22/50 = 0.44
The relative frequency of tails in this experiment is 0.44
If you want to learn more, you can read:
https://brainly.com/question/16484884
The nth term of a geometric sequence is 4*3n-1. Find the first and the 10th term
Answer:
Step-by-step explanations
I don’t know
Which point in the table does not lie on the same lie on the same line
as the other three points?
1, -1.5
2, 0.5
5, 7.5
6, 8.5
Pls answer fast, I thank u am for seeing this problem!
Answer:
(5,7.5)
Step-by-step explanation:
Hope this helps (:
least multiple of 2983548
Answer:
it must be 2983548×2............
HELP PLEASE HELPPP PLEAE NO LINKS OR I WILL REPORT YOU PLEASE GIVE EXPLANATION
Answer:
(I got your back pal) Your answer is -41/21
Can you give me a brainlest it would help me a lot
Two sides of a rectangle differ by 35 cm. Find the dimensions of rectangle of its perimeter is 67 cm
Answer:
one side is 137/4 and other is 3/4
Step-by-step explanation:
all steps are in picture
Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?
rufur colou colon uju
Answer:
2/5
Step-by-step explanation:
Use the formula for slope to solve [ y2-y1/x2-x1 ].
7-5/9-4
2/5
Best of Luck!
Helppppp, please!!!!
Answer:
for the mean you have to do formula efx/n other i dont know
The length of the parallel sides of a trapezium are 3cm and 1 cm, and the distance between them is 1 cm. What is its area?
Answer:
A = 2 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the distance between parallel sides and b₁, b₂ , the parallel sides
Here h = 1, b₁ = 3, b₂ = 1 , then
A = [tex]\frac{1}{2}[/tex] × 1 × (3 + 1) = [tex]\frac{1}{2}[/tex] × 4 = 2 cm²
Which property of multiplication is shown?
1 x 2 = 2 x 1
commutative
associative
Submit
Answer associative
Step-by-step explanation:
A number is multiplied by 9 , and that product is added 3. The sum is equal to the product of 3 and 7 . Find the number.
Answer:
The unknown number is 2.
Step-by-step explanation:
Let x represent the unknown number.
It is multiplied by 9 then added to 3. Hence, it can be represented by the expression:
[tex]9x + 3[/tex]
The sum is equal to the product of 3 and 7, or 21. Therefore:
[tex]9x + 3 = 21[/tex]
Solve for x. Subtract 3 from both sides:
[tex]9x = 18[/tex]
And divide both sides by 2. Hence:
[tex]x = 2[/tex]
In conclusion, the unknown number is 2.
What is the solution to this system of equations?
-a - 3b + 4c = 3
5a – 8 + 5c = 27
5a – 26 + 60 = 1
Answer:
Here is your answer. Hope this helps you!
HELP PLSSS ANSWER IS D
STEPS PLS
I WILL GIVE BRAINLEST !!!
Answer:
2yz/x
Step-by-step explanation:
Given: z/4=x/y
Let's isolate 4 since 8=4(2) which means after isolating 4 we just need to multiply that resulting equation by 2.
Cross multiply:
zy=4x
Divide both sides by x:
zy/x=4
Multiply both sides by 2:
2zy/x=8