Solution :
It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :
1. [tex]$P(x) \geq 0$[/tex]
2. [tex]$\sum_z P(x) = 1$[/tex]
Now consider,
[tex]$\sum_z P(x) = 1$[/tex]
⇒ [tex]$P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)=1$[/tex]
⇒ [tex]$0.61+T+0.14+0.01+0.01+0.03=1$[/tex]
⇒ [tex]$0.8+T=1$[/tex]
⇒ [tex]$T=1-0.8$[/tex]
= 0.2
Therefore, the value of T is 0.2
Thus, option (c) is correct.
In a survey of a community, it was found that 55%
like summer season, 20% like winter season, 40%
don't like both seasons and 750 like both seasons. By
using Venn diagram, find the number of people who
like winter season.
Answer:
The number of people who like winter season is 1000.
Step-by-step explanation:
Event event correspond to a set in the Venn diagram, and we use it to find the percentages.
I am going to say that:
Event A: Like summer season
Event B: Like winter season.
55% like summer season
This means that [tex]P(A) = 0.55[/tex]
20% like winter season
This means that [tex]P(B) = 0.2[/tex]
40% don't like both seasons
This means that 100% - 40% = 60% like at least one, which means that [tex]P(A \cup B) = 0.6[/tex]
Proportion who like both:
This is [tex]P(A \cap B)[/tex]. The measures are related by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
Using what we have
[tex]P(A \cap B) = 0.55 + 0.2 - 0.6 = 0.15[/tex]
750 like both seasons.
This is 15% of the sample. So the total number of people is t, for which:
[tex]0.15t = 750[/tex]
[tex]t = \frac{750}{0.15}[/tex]
[tex]t = 5000[/tex]
20% like winter season
Out of 5000. So
0.2*5000 = 1000
The number of people who like winter season is 1000.
Which of the following data sets is best described by a linear model
Answer:
sry i dont know
Step-by-step explanation:
lolz
Please put down math for this!
What is 5% of 200?
put answer down bellow!
Answer:
10
Step-by-step explanation:
1. Find 5% of 200.
2. 5100×200.
3. =10.
4. so 5% of 200 will be 10.
which statements are true when solving x*2 -8x +16=0?
A x=+4.
B Factor to solve.
C x=4 is a double root.
D Complete the square root to solve.
E The equation is a perfect trinomial.
Given:
The given equation is
[tex]x^2-8x+16=0[/tex]
To find:
The correct statement for the given equation.
Solution:
We have,
[tex]x^2-8x+16=0[/tex]
It can be written as
[tex]x^2-2(x)(4)+(4)^2=0[/tex]
Using the identity of perfect square trinomial, we get
[tex](x-4)^2=0[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex](x-4)=0[/tex]
[tex]x=4[/tex]
Here, x=4 has multiplicity two because the power of factor (x-4) is 2.
x=4 is a double root and the equation is a perfect trinomial.
Therefore, the correct options are C and E.
Answer:
B) Factor to solve.
C) x = 4 is a double root.
E) The equation is a perfect square trinomial.
Step-by-step explanation:
Factor to solve.<
By inspection, the equation is a perfect square trinomial.
x = 4 is a double root
By inspection, the middle term's coefficient 8 is twice the square root of 16, the constant; therefore, it is a perfect square trinomial.
x2 − 8x + 16 = 0 → (x − 4)(x − 4) = 0 → x = 4 is a double root.
Hope This Help??
Please Mark Me Brainly??
what is the G.C.F. of 12 4 8
Answer:
4
Step-by-step explanation:
GCF = 4
4 × 3 = 12
4 × 2 = 8
Since 4 goes in both, 12 and 8, it is the GCF. Hope this helps, thank you !!
Jose May 20% off of his free throws over the season if he shot a 180 free throws how many did he make
Answer:
He made 36 free throws out of 180
Look at this graph, what is the slope?
Answer:
3/2
Step-by-step explanation:
find 2 points and go up til you are even with it(3 in this case) this is your rise, then go over to the other point(2 in this case) this is your run, so the slope (rise/run) is 3/2
-Todo <3
2. Find the area of a circle with a radius of 5 meters. A circle with a radius of 5 meters has an area of
Answer:
A=πr2=π·52≈78.53982m²
Step-by-step explanation:
Answer:
78.57 m^2
Step-by-step explanation:
answer is 78.57
What is functio
TIG
3. Given this graph of the function f(x):
Given the functi
f(x)
Find:
b. f(0) =
c. f(3) =
d. f(-5) =
a. f(-4)=
f. x when f(x) = 0
e. r when f(x) = -2
Answer:
I know I'm not answering your question but math-way helps and its fast i just want to save you time <3
Step-by-step explanation:
have a nice day
If x ≠ 2y, then
eq1a
2(x-2y)
2y-x
1
0
-2
100 POINTS MUST SHOW WORK OR ILL REPORT!
Given
Answer:
[tex]\huge\boxed{\boxed{\mathbb{B)70°}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:vertical angleequationPEMDASgiven:[tex]\sf m\angle ABC=3x-20[/tex][tex]\sf m\angle DBF=x+40[/tex]tips and formulas:Vertical Angles are the angles opposite each other when two lines crossvertical Angles are equallet's solve:according to the question
3x-20=x+40
=>3x-x=40+20
=>2x=60
=>x=60/2
x=30
given [tex]\sf m\angle ABC=3x-20[/tex]
substitute the value of x
30×30-20
simplify
90-20
70
Opposite angles are equal
Put and equate
3x-20=x+40solve
3x-x=40+202x=60x=30°m<ABC
3(30)-2090-2070°Option B
The Yankees 90 of their 162 games last season. What percentage of their games did they win?
Answer:
If they won 90 out of 162, they won 55.(5)% of their games.
Step-by-step explanation:
I assume they WON 90 of the 162 games.
90/162 = 45/81 = 15/27 = 5/9
5/9 = 55.(5)%; (because 1/9 = 11.(1)%)
Answer:
55.56%
Step-by-step explanation:
1. Put into a fraction = 90/162
2. Simplify = 5/9
3. Calculate the fractions value by dividing the numerator by the denominator.
4. Multiply the answer by 100
5. Simplify
Hopefully this helps!
2y = 3x + 4
2x = -3y - 7
Answer:
x= -2.........&.........y= -1
Step-by-step explanation:
(x,y)=(-2,-1)
el precio de xbox es de $4,300 pesos .a esta cantidada se debe agregar 16% del iva ¿cual es el precio del x-box con el iva incluido
Answer: 4,988 porque 16% de 4,300 es 688 asi que nomas lo aggregas a lo que costaba y agaras el resultado de 4,988
Step-by-step explanation:
2/3x + 1/6 = 4/3x
What is the answer to this
Answer:
x = 0.25 or 1/4
Step-by-step explanation:
help read the instructions ffirst
Answer:
Step-by-step explanation:
Find attached the first sum.
x denotes horizontal and y denotes vertical
When the value of x is positive, it moves to right side and when x is negative, it moves left sides 'x unit'
When the value of y is positive, it moves to up side and when y is negative, it moves down sides 'y unit'
A rectangle has sides 10 and 8. Find the length of the Diagonal
Answer:
Step-by-step explanation:
Remark
The diagonal is found by using the Pythagorean Theorem: a^2 + b^2 = c^2. This only works for certain figures. The rectangle is one of them.
Givens
a = 10
b = 8
c = ? This is the length of the diagonal.
Solution
a^2 + b^2 = c^2
10^2 + 8^ = c^2
100 + 64 = c^2
c^2 = 164
√c^2 = √164
c = 12.806
You are given 3 to 1 odds against rolling two even numbers
with the roll of two fair dice, meaning you win $3 if you
succeed and you lose $1 if you fail.
Answer:
_
Step-by-step explanation:
someone pls answer this
Answer:
Step-by-step explanation:
For the function f(x)=-7x-5, evaluate f(6)
Answer:
f(x)=-7x-5
f(6)=-7(6)-5
f(6)=-42-5
f(6)=-47
The carnival also offers two magic shows. The morning show is only 20 minutes and it costs $3.75. For the afternoon show, it is 35 minutes and costs $5.25. Which show would give you more for your money?
Answer:
35 min show
Step-by-step explanation:
3.75 / 20 = .1875
5.25 / 35 = .15
you pay less for the 35 min show
can i please get brainliest! :)
I WILL GIVE U
THE BRAINLEST!!!!!
I WILL GIVE U THE BRAINLEST!!!!!
If a circle has a diameter of 3 cm, what is the circumference? Enter a numerical value
only. Round all answers to the nearest hundredth.
Answer:
C≈9.42cm
Step-by-step explanation:
This is the correct answer for your question
Answer:
3.71
Step-by-step explanation:
Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice. How many cups of carrot juice are used for each cup of apple juice?
Answer:
1/2 cup carrot juice for every cup of apple juice
Step-by-step explanation:
Answer:
1/2 cup carrot juice for every cup of apple juice
Step-by-step explanation:
6:3 6 dived by 6 is 1 and 3 dived by 6 is 0.5 also known as 1/2
PLS HELP I TRIED GETTNIG BETTER PHOTOS THIS TIME
Answer:
ADD MORE POINTS THEN WE CAN TALK HUN
Step-by-step explanation:
Answer: )*39082[938[928
If 25% of a number is 100, what is the number?
OA. 50
OB.
100
O c.
150
OD.
200
O E.
400
Answer:
400
Step-by-step explanation:
25% is a fourth 100 ×4 is 400
1. Which is longer: 6 ft or 70 in.?
Answer:
70in.
Step-by-step explanation:
1 foot is the equivalent to 12 inches. So 6 feet is 6×12. ... So now we have 72 and 70 inches.
Answer:
6 ft is more then 70 in.
Step-by-step explanation:
6 ft is more then 70 in. because 6ft is 72 in. therefore 6ft. is more then 70 in.
HOPE THIS HELPS
2 and 1/8 + 1 and 3/4
find all zeros of -x^5+4x^4+24x^3-96x^2+25x=100
Answer:
x=4 or x=−5 or x=5 im not sure if u wanted the awnser?
Which of the following are exterior angles? Check all that apply
Answer: D, C, A
Step-by-step explanation:
An exterior angle is an angle that is supplementary to an interior angle.
The angle between the extended side and its adjacent side is called the exterior angle so the option (D), (C), and (A) will be the correct answers.
What is the Exterior angle?Exterior angles become by a side of that figure and its extended adjacent side.
The exterior angle has been attached.
Since in the graph angle, ∠3 become by two extended lines but for exterior angle, there should be only one extended line which is ∠6, ∠5, and ∠2.
Hence angles ∠6, ∠5, and ∠2 will be the exterior angles.
For more information about Exterior angle
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Bags of sugar come in 3 sizes:
Small bag: A 250 g bag costs 60p.
Medium bag: A 500 g bag costs £1.30.
Large bag: A 3 kg bag costs £7.50.
Calculate the cost of 3 kg for the small and medium bags.
Give your answer in pounds to 2 dp.
Write the bag that is the better value in the comments.
Answer:
Small bag: £7.20 for 3 kg
Medium bag: £7.80 for 3 kg
Best value: small bag
Step-by-step explanation:
3 kg = 3000 g
Small bag: 60p/250 g = 0.24p/g
For 3000 g: 0.24p/g * 3000 g = £7.20
Medium bag: £1.30/500 g = 0.0026 £/g
For 3000 g: 0.0026 £/g * 3000 g = £7.80
Large bag:
For 3000 g: £7.50
Best value: small bag
