Answer:
5
Step-by-step explanation:
Given the set {4,9,12,19,26}
The cardinality of any given set is the measure of the size of the set. Hence, cardinality if a set simply means the size of a set, which is obtained by counting the number of distinct element in the set.
The set Given above, the number of distinct element in the set is 5 ; Hence, the cardinality of the set is 5
Let XX be a random variable that is equal to the number of heads in two flips of a fair coin. What is \text E[X^2]E[X 2 ]
Answer:
Step-by-step explanation:
From the given information, it is likely that the random variable(X) have the values below:
Let head be H
Let tail be T
So;
X(HH) = 2;
X(HT) = 1;
X(TH) = 1;
X(TT) = 0
The distribution can now be computed as:
[tex]p(X= TT) = \dfrac{1}{4}[/tex]
[tex]p(X=TH) = \dfrac{1}{4}[/tex]
[tex]p(X=HT) = \dfrac{1}{4}[/tex]
[tex]p(X=HH)= \dfrac{1}{4}[/tex]
Now, the expected value that is equivalent to the number of heads when the coin is flipped twice is:
[tex]E(X) = p(TT)*X(TT)+p(TH)*X(TH)+p(HT)*X(HT)+p(HH)*X(HH)[/tex]
[tex]E(X) = \dfrac{1}{4}\times 0 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 2[/tex]
[tex]E(X) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{1}{2}[/tex]
[tex]E(X) =\dfrac{1+1+2}{4}[/tex]
[tex]E(X) =\dfrac{4}{4}[/tex]
E(X) = 1
[tex]E(X^2) = p(TT)*X(TT)^2+p(TH)*X(TH)^2+p(HT)*X(HT)^2+p(HH)*X(HH)^2[/tex]
[tex]E(X^2) = \dfrac{1}{4}\times 0^2+ \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 2^2[/tex]
[tex]E(X^2) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{4}{4}[/tex]
[tex]E(X^2) =\dfrac{1+1+4}{4}[/tex]
[tex]E(X^2) =\dfrac{6}{4}[/tex]
[tex]E(X^2) =1.5[/tex]
Finally; To compute E²[X]
E²[X] = E[X]²
E²[X] = 1²
E²[X] = 1
hello! i hope your day is going great! whats 4x 2/1/2??
Answer:
4
Step-by-step explanation:
1/2=0.5
2/0.5=1
4x1=4
What is 2/6 in simplest form? Find the greatest common factor of 2 and 6 and divide by that number. *
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
2 = 2 × 1
6 = 2 × 3
GCF = 2
[tex]\frac{2 /2 }{6/2} =\frac{1}{3}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{\frac{1}{3}}[/tex]
»»————- ★ ————-««
Here’s why:
We would take the GCF of the two numbers in order to simplify.⸻⸻⸻⸻
[tex]\boxed{\text{Simplify:}}\\\\\frac{2}{6}\\\\\boxed{\text{Finding the Factors:}}\\\\2: 2\\6 : 2,3\\\\\boxed{\text{The GCF would be 2.}}\\\\\frac{2}{6} =\frac{2/2}{6/2}=\boxed{\frac{1}{3}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Think you can figure out the correct answer here
The answer would be 30 because the triangle is 10, the circle is 5, and each black triangle is 2 which would be 10 plus 5 which is 15 then times 2 which is 30.
Answer:
20?
Step-by-step explanation:
If 3 triangles = 30 they we could assume that each triangle = 10
10 + 10 + 10 = 30
If one triangle = 10 then the 2 circles would = 5 in the 2nd equation
10 + 5 + 5 = 20
If 1 circle = 5 then the 1 full squares would = 4
5 + 4 + 4 = 13
1 triangle = 10 , 1 circle = 5, Half a square = 2
10 + 5 * 2 = ?
Using PEMDAS we would multiply 2 and 5 first to get 10
10 + 10 = 20
A rectangle has a perimeter of 18 cm. The long side is 1 cm more than three times the small side. How big is the small side?
4) 2 2/3 yards feet * O 8 feet O 6 feet O 2 feet O 7 feet
Answer:
your mom
Step-by-step explanation:
u gonna fail just give up on life
On a coordinate plane, a polygon has points (negative 3, 4), (3, 4), (3, negative 3), (negative 3, negative 2).
What points are the vertices of this polygon? Select all that apply.
(–3, –2)
(–2, –3)
(3, 4)
(–3, 4)
(3, 3)
(3, –3)
Answer:
(-3,-2)
(-3,4)
(3,4)
(3,-3)
Step-by-step explanation:
Answer:
cant see nun mind showing it
Pleaseeee help me! Options are A, C, B, and D
Step-by-step explanation:
from the solution above, the answer Is A
Plz do.this for 20 points
Step-by-step explanation:
1 2 3 42 4 6 83 6 9 12You need to multiply the row and column to get the numbers
for example the block with row 3 column 3,the answer is 3 x 3= 9
each spinner can land on any of the points it has, thus each of the number have the same possibility.
a net ball team won 24 out of 40 matches. what percentage of the match did the team win
Answer:
60%
Step-by-step explanation:
[tex]percentage = \frac{24}{40} \times 100\% \\ = 60\%[/tex]
[tex]\Huge{\textbf{\textsf{{\purple{Ans}}{\pink{wer}}{\color{pink}{:}}}}} \\ [/tex]
[tex]percentage = \frac{24}{40} \times 100\% \\ = 60\%[/tex]
so answer is 60%
Find x
Find Angle CBD
Find Angle D
Answer:
[tex]thank \: you[/tex]
HELP WOULD BE APPRECIATED
Solve for n
n - 21 = 3
OA) n=45
OB) n=52
Oc) n= 24
OD) n= 19
Answer:
option C. n = 24
Step-by-step explanation:
n - 21 = 3
n - 21 + 21 = 3 + 21 [adding 21 on both sides ]
n + 0 = 24 [ -21 + 21 = 0 ]
n = 24
find the value of x. round your answer to the nearest tenth.
9514 1404 393
Answer:
x ≈ 13.7
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(58°) = 22/x
x = 22/tan(58°) ≈ 13.747
The value of x is about 13.7 units.
is 3(6x + 1) and 21x
equivalent?
explain why
Answer: they are not equivalent be 3(6x+1) is 18x+3 and 21x stays the same so there for they are not equivalent to each other
Step-by-step explanation:
Found out the answer please I can't do this
Answer:
530.929158457
Step-by-step explanation:
13x13= 169 x pi= 530.929158457
The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = 0.17 and a sample of 900 households will be selected from the population. Use z-table.
a. Calculate σ(p), the standard error of the proportion of households spending more than $100 per week on groceries (to 4 decimals).
b. What is the probability that the sample proportion will be within +/- 0.02 of the population proportion (to 4 decimals)?
c. What is the probability that the sample proportion will be within +/- 0.02 of the population proportion for a sample of 1,400 households (to 4 decimals)?
Answer:
The right answer is:
(a) 0.01252
(b) 0.8882
(c) 0.9544
Step-by-step explanation:
Given:
Population proportion,
P = 0.17
Sample size,
n = 900
(a)
The standard error of proportion will be:
⇒ [tex]SE_p=\sqrt{\frac{P(1-P)}{n} }[/tex]
By putting the values, we get
[tex]=\sqrt{\frac{0.17(1-0.17)}{900} }[/tex]
[tex]=\sqrt{0.000158}[/tex]
[tex]=0.01252[/tex]
(b)
We know that,
[tex]\hat{P}-P=\pm 0.02[/tex]
Now,
⇒ [tex]z=\frac{\hat{P}-P}{\sqrt{\frac{P(1-P)}{n} } }[/tex]
By substituting the values, we get
[tex]=\frac{\pm 0.02}{\sqrt{\frac{0.17(1-0.17)}{900} } }[/tex]
[tex]=\frac{\pm 0.02}{0.01252}[/tex]
[tex]=\pm 1.59[/tex]
⇒ [tex]P(I\hat{P}-PI<0,02)=P(-1.59<z<1.59)[/tex]
[tex]=1-2P(z<-1.59)[/tex]
[tex]=1-2(0.0559)[/tex]
[tex]=0.8882[/tex]
(c)
We know that,
[tex]\hat{P}-P=\pm 0.02[/tex]
[tex]n = 1400[/tex]
Now,
⇒ [tex]z=\frac{\hat{P}-P}{\sqrt{\frac{P(1-P)}{n} } }[/tex]
By substituting the values, we get
[tex]=\frac{\pm 0.02}{\sqrt{\frac{0.17(1-0.17)}{1400} } }[/tex]
[tex]=\frac{\pm 0.02}{0.01}[/tex]
[tex]=\pm 2[/tex]
⇒ [tex]P(I \hat P-PI<0.02)=P(-2<z<2)[/tex]
[tex]=1-2P(z<-2)[/tex]
[tex]=1-2(0.0228)[/tex]
[tex]=0.9544[/tex]
2) When Janet put her marble collection in groups of 7 there were two marbles left over, when she put them in groups of 5 there were 3 marbles left over. What is the fewest number of marbles that Janet could have had in her collection?
Answer:
23 marbles
Step-by-step explanation:
3 groups of 7 = 21 +2 = 23
4 groups of 5 = 20 +3 = 23
Are the events independent or dependent. From a bag containing 10 marbles, 5 red, 3 black, 1 blue, and 1 white we pick two marbles:
Event A: Selecting a red marble first pick, and then without replacement
Event B: Selecting a white marble on the second pick
Answer:
Dependent
Step-by-step explanation:
The first draw has 10 marbles, the second draw has 9 marbles and the color of those 9 marbles depends on the marble picked in the first draw so the events are dependent.
Answer:
Dependant
Step-by-step explanation:
It would be independent if you put the marble BACK, because at first it was 1/10 to get the white marble and then it became 1/9.
I was wondering if anyone could answer this :)
Step-by-step explanation:
The sides with the variables are the same length, so make them equal.
x+2=2x-3
Get x alone on one side.
5=3x
Simplify.
5/3 = x
Answer:
5
Step-by-step explanation:
x+2 = 2x-3
+3 +3
x+5 = 2x
-x -x
x=5
Hope this helps! :)
Which of the Following is a solution to 7x-6y=19
(-5,-3)
,(7,5),
(-4,0)
(1,-2)
Answer:
(1,-2)
Step-by-step explanation:
Choose any value for x that is in the domain to plug into the equation.
Choose 0 to substitute in for x to find the ordered pair.
(0, -19/6)
Choose 1 to substitute in for x to find the ordered pair.
Remove parentheses.
y= -19/6 + 7(1)/6
Simplify
y=2
Use the
x and y values to form the ordered pair.
(1,−2)
Can someone Help me please.?
Answer:
Option D
Hope this helps!
In which of the following expressions does the number 36 fill in the blank so that the equation is true? Select all that apply. A) 6(8 + 9) = ___ + 54 B) 6(9 + 6) = 54 + ___ C) 9(4 + 7) = ___ + 63 D) 3(5 + 12) = 15 + ___
Answer:
B is the correct answer
Step-by-step explanation:
6(9+6)=54+36
6(15)=90
90=90
Please help Time limit
Answer:
n = 11. 6n - 4 = 5n + 7.
Step-by-step explanation:
Also, if you've ever read Romeo and Juliet, please help me! I just need a general answer on my questions, and I'll give brainliest.
What is the value of x
Answer:
18°
Step-by-step explanation:
Know that the intersection of two lines and the angles opposite each other are equal
3t+12=66
Subtract 12 from both sides
3t=54
Divide 3 from both sides
t=18
pls help me on this ..
Given : Scale drawing of Angel's rectangular room is 5cm by 7 cm
We know that, Area of a rectangle is given by : Length × Width
⇒ Area of Angel's rectangular room = (5 cm × 7 cm) = 35 cm²
Given : The scale is 1 cm = 4 feet
⇒ Area of Angel's rectangular room in square feet = 35 × (4 feet)²
⇒ Area of Angel's rectangular room in square feet = 35 × 16 feet²
⇒ Area of Angel's rectangular room in square feet = 560 feet²
convert fraction to decimal 1/5 explanation
Answer: 0.2
Step-by-step explanation:
1 divided by 5 = 0.2
Answer:
0.2
Step-by-step explanation:
1/5 = 1 divided by 5.
This will also apply to any fraction
Fraction = Numerator divided by Denominator
Which word expression represents the algebraic expression shown?
12 – 3x
The difference between twelve and three times a number.
Hope this helps! :)
For f(x) = 3x +1 and g(x) = x - 6, find (f- g)(x).
A. K - 3x-7
B. 3x - 17
c. -x + 3x + 7
D. -x + 3x - 5
SUBND
Answer:
c. -x + 3x + 7 = 2x+7
Step-by-step explanation:
f(x) = 3x +1 and g(x) = x - 6
f-g = 3x +1 - ( x - 6)
Distribute the minus sign
= 3x+1 - x+6
= 2x +7
Combine the following complex numbers.
(16 − 6i) − (2 − 3i)
Answer:
14 - 3i
Step-by-step explanation:
Distribute the minus sign amongst the second equation:
(16 - 6i) - (2 - 3i) = 16 - 6i - 2 + 3i
Solve:
16 - 6i - 2 + 3i:
16 - 2 - 6i +3i
14 - 3i
Hope this helps!
f(x)=-2x^2 -3, find f(0)
Answer:
Step-by-step explanation:
It's -3
