Considering the discrete distribution, it is found that the desired measures are given as follows:
a) 0.86.
b) 0.57.
c) 0.45.
d) 0.14.
e) 0.43.
f) 3.02.
g) 1.31.
What is the probability distribution?
According to the table, it is given by:
P(X = 1) = 0.14.
P(X = 2) = 0.29.
P(X = 3) = 0.12.
P(X = 4) = 0.31.
P(X = 5) = 0.14.
Item a:
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - P(X = 1) = 1 - 0.14 = 0.86[/tex]
Item b:
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - P(X = 1) - P(X = 2) = 1 - 0.14 - 0.29 = 0.57[/tex]
Item c:
P(X > 3) = P(X = 4) + P(X = 5) = 0.31 + 0.14 = 0.45.
Item d:
P(X < 2) = P(X = 1) = 0.14.
Item e:
[tex]P(X \leq 2) = P(X = 1) + P(X = 2) = 0.14 + 0.29 = 0.43[/tex].
Item f:
The mean is given by the sum of each outcome multiplied by it's respective probability, hence:
E(X) = 0.14(1) + 0.29(2) + 0.12(3) + 0.31(4) + 0.14(5) = 3.02.
Item g:
The standard deviation is given by the square root of the sum of the difference squared of each observation and the mean, multiplied by it's respective probabilities, hence:
[tex]\sqrt{V(X)} = \sqrt{0.14(1-3.02)^2 + 0.29(2-3.02)^2 + 0.12(3-3.02)^2 + ... + 0.14(5-3.02)^2} = 1.31[/tex]
More can be learned about discrete probability distributions at https://brainly.com/question/24855677
QUESTION ON PIC THANK YOU!!
A farmer needs to mix 12 ounces of fertilizer for every 10 pounds of soil. How many pound of fertilizer will the farmer need to make a mix that contains 120 pounds of soil?
7. There are 3 times as many adventure books as comic books in a bookshop. If there are 879 adventure books in the bookshop, how many comic books are there?
8. Miss Flores had 216 colored beads, She asked Kristel to share them equally with 5 other friends, How many beads did Kristel get?
9. Ann made 450 hamburgers for a fun fair. She packed them equally into 7 boxes. How many hamburgers were there in each box? How many hamburgers were left?
Someone help and please make sure the answer right pls, pls help I’m confused
Answer:
it's the third bubble
Step-by-step explanation:
Answer:
n³ - 2n² - 3n + 2 + (2 / x - 4)
Step-by-step explanation:
n^4 - 6n³ + 5n² + 14n - 6
(n - 4) x n³
n^4 - 6n³ + 5n² + 14n - 6
-n^4 + 4n³
-2n³ + 5n² + 14n - 6
(n - 4) x -2n²
-2n³ + 5n² + 14n - 6
2n³ - 8n²
-3n² + 14n - 6
(n - 4) x -3n
-3n² + 14n - 6
3n² - 12n
2n- 6
(n - 4) x 2
2n - 6
-2n + 8
R. 2 / x - 4
I hope this helps!
Use the circle graph to determine how
many hours each day Sariah spends
on each activity.
School:
hours
Becky's Day
Eating
hours
10%
Eating:
Sleep:
Free time
15%
Homework
10%
Sleep
40%
Homework:
hours
hours
hours
School
25%
Free time:
Answer:
school=6 hours
eating= 2.4 hours
sleep= 9.6 hour
homework= 2.4 hours
free time= 3.6 hours
Step-by-step explanation:
What is sin 60°?
A. 1
B. 1/2
Answer:
B.
[tex] \frac{1}{2} [/tex]
Hope it helps you<3Jeff has four credit cards with limits of $4,000, $9,000, $3,600 and $11,300 respectively. If he has all of his cards charged up to 85% of his credit limit, how much does he owe?
Answer:
Jeff would owe $23,715
Step-by-step explanation:
$4,000+$9000+$3600+$11300x 0.85 = $23,715
Two communication companies offer calling plans. With company x it cost $.30 to connect and then $.05 for each minute with company why it cost $.20 to connect and $.04 each minute. Simplify an expression that represents how much more company x charges incense for n minutes
Step-by-step explanation:
m = number of minutes
x(m) = 0.05m + 0.3
y(m) = 0.04m + 0.2
to find the difference between both company plans we need to subtract y from x :
0.05m + 0.3 - (0.04m + 0.2) =
= 0.05m + 0.3 - 0.04m - 0.2 =
= 0.01m + 0.1
company x charges for n minutes
$0.01n + $0.1
more.
Write 4 equivalent expressions to 5n = 15n
Asriel says 2 times 2 is 4 Adrian says 2 times 3 is 6 Brittne says 2 times 5 is 4.Who is correct?
Answer:
Asriel is correct because 2 times 2 is 4 and 2 times 3 is 6 and 2 times 5 is 10 so Asriel is correct.
Answer: Asriel & Adrian
Step-by-step explanation: 2x2 =4 (Ex: if you have 2 apples and was given 2 more you would have 4 in total)
2x3=6 (Ex: like if you have 2 oranges and was given 3 more you always have to count by your multiples.)
Ivan rocks 2 1/8 miles to his aunts house he has already walked 3/4 miles how much further does he have to go explain how you solved
helppppp
Find the value of x.
The value of x is 8.77
help me find x please
Answer:
132°
Step-by-step explanation:
An inscribed angle is half the measure of the arc it subtends. This means arc CB is twice the measure of inscribed angle CAB, so ...
arc CB = 2×∠CAB = 2×40° = 80°
Arc AC is twice the measure of inscribed angle ABC, so ...
arc AC = 2×∠ABC = 2×26° = 52°
The measure of central angle AOB is the same as the measure of arc AB.
x = ∠AOB = arcs AC +arc CB = 52° +80°
x = 132°
12 Complete the table to show equivalent times. Seconds Hours Minutes 210 8,400
Answer:
The easiest way to convert seconds to hours is to divide the number of seconds by 3,600. To understand the reason for this conversion, it can be helpful to set up conversion tables, in which you first convert the number of seconds to minutes, and then the number of minutes to hours.
If A = 2x - 722 + 3 and B = 4x2 - 12x, what is A + B?
A) -3x^2+10x+3
B) -3x^2-10x+3
C)3x^2-10x+3
D)6x^2-7x-9
Answer:
B
Step-by-step explanation:
Combine like terms. Like terms have same variable with same power.
2x & (-12x) are like terms and
-7x² & 4x² are like terms
A = 2x - 7x² + 3
B = 4x² - 12x
A + B = 2x - 7x² + 3 + 4x² - 12x
= 2x - 12x - 7x² + 4x² + 3
= (2-12)x + (-7 + 4)x² + 3
= -10x + (-3x²) + 3
= -3x² - 10x +3
The graph shows the amount customers pay for x pounds of cheese at a deli counter. Customers pay a certain price per pound up to exactly 5 pounds. If a customer buys more than 5 pounds. then the price per pound for the entire purchase is discounted.
The amount the customers pay is an illustration of a piecewise functions
The equations of the piecewise functions are: [tex]y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right[/tex]
How to determine the equation of the piecewise function?For the first function, we have the following points.
(x,y) = (0,0) and (4,20) for 0 < x <= 5
Since the line passes through the origin, the equation of the line would be:
[tex]y = \frac{y_1}{x_1} * x[/tex]
So, we have:
[tex]y = \frac{20}{4} * x[/tex]
[tex]y = 5x[/tex] 0 < x <= 5
For the second function, we have the following points
(x,y) = (8,32) and (9,36) for x > 5
The equation of the line would be:
[tex]y = \frac{y_1-y_2}{x_1-x_2} * (x - x_1) + y_1[/tex]
So, we have:
[tex]y = \frac{36-32}{9-8} * (x - 8) + 32[/tex]
[tex]y = 4(x - 8) + 32[/tex]
[tex]y = 4x - 32 + 32[/tex]
[tex]y = 4x[/tex] x > 5
Hence, the equations of the piecewise functions are:
[tex]y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right[/tex]
Read more about piecewise function at:
https://brainly.com/question/18859540
HELP ASAP WILL GIVE BRAINLIEST!!!
This figure represents a design that is sewn onto a quilt square. The semicircles are a solid green fabric and the square is a floral fabric. The area of the solid green fabric is 8π square inches.
What percent of the design is floral fabric?
Use 3.14 for π. Round your answer to the nearest whole percent.
Answer: the answer is 39
Step-by-step explanation:
i just took the test
Answer: 39%
Step-by-step explanation: i took the test :)
26=-12y-9+7y what is this answer
Answer:
[tex]y = - 7[/tex]
Solving steps:
=> 26=-12y-9+7y
Step 1: Simplify both sides of the equation.
make y the subject of formula
=> 26=−12y+−9+7y
=> 26=(−12y+7y)+(−9)
Combine like terms
=> 26=−5y+−9
=> 26=−5y−9
Step 2: Flip the equation.
=> −5y−9=26
Step 3: Add 9 to both sides.
=> −5y−9+9=26+9
=> −5y=35
Step 4: Divide both sides by -5.
.=> [tex] \frac{ - 5y}{ - 5} = \frac{35}{ - 5} [/tex]
=> y = - 7
Aysha has 136 buttons and 8containers,can she divided the buttons equally between the containers?
Draw the image when ABCD is translated along 1-4, 6).
Answer:
(9,4)
Step-by-step explanation:
your welome
A line passes through the point , −9−3 and has a slope of 23.
Write an equation in slope-intercept form for this line.
Answer:
y=23x+204
Step-by-step explanation:
The Slope Intercept Form of the Equation of a Line is y=mx+c
where m is the Slope and c is the y-intercept
so for our problem m=Slope = 23
so the Equation will be y=23x+c
Now to find c just substitute by the given Point
-3=23*-9+c
c=204
so the Equation will be
y=23x+204
There is a pair of parallel sides in the following shape.
10
2
2
What is the area of the shape?
The area of the shape is 12 square units
Area of a trapeziumThe given shape is a trapezium and the formula for calculating the area of a trapezium is expressed as:
A = 0.5(a+b)h
Given the following parameters
a = 2
b = 10
h = 2
Substituting the given parameters
A = 0.5(2+10)*2
A = 0.2(12) * 2
A = 12 square units
Hence the area of the shape is 12 square units
Learn more on area of trapezium here: https://brainly.com/question/16904048
what is 8 & 3/4 x 3
(I need this today!)
3/4 x 3 = 9/4
Since you need to multiply first you add the 8 later after you solve the multiplication
8 9/4
Answer:
26 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
8[tex]\frac{3}{4}[/tex] = [tex]\frac{(8x4)+3}{4}[/tex] = [tex]\frac{35}{4}[/tex]
[tex]\frac{35}{4}[/tex] x [tex]\frac{3}{1}[/tex] = [tex]\frac{105}{4}[/tex] = 26.25 = 26 [tex]\frac{1}{4}[/tex]
A card is randomly selected from a standard deck of 52 cards. What is the probability that it is a
2 or an 8?
Answer:
c
Step-by-step explanation:
for this question, it helps to know what cards are in the deck. since there are four of everything (four suits), there will be four 8's and four kings. this means that we are aiming for one of 8 cards. therefore, 8/52= .1538 or answer C.
The ratio of yellow crayons to green crayons is 6 : 5.
If there are 18 yellow crayons, how many green crayons are there?
Answer:
15 Green crayons
Step-by-step explanation:
Ratio Yellow to green crayons
Thus, 6 → Yellow and 5 → Green
6 5
18 x
We need to divide 18 by 6 which is 3
5 x 3 = 15
Hence, Green Crayons ⇒ 15
[RevyBreeze]
15 green crayons
Step-by-step explanation:
Given:
The ratio of yellow crayons to green crayons is 6:5.To Find:
If there are 18 yellow crayons, how many green crayons are there?Solution:
Let,
yellow crayons = 6x green crayons = 5xIf there 18 yellow crayons so,
6x = 18
x = 18/6 = 3 ...(1)
By putting the value of x from equation (1) :-
➝ 5x => 5 × 3
=> 15
Therefore, there are 15 green crayons.
joy is (4x + 5) years old her brother micheal is (3x - 2) years younger than her sister. then write an expression thet represents Michael's age
Answer:
(x +7) years old
Step-by-step explanation:
Joy= (4x +5) years old
Since Michael is (3x -2) years younger, we need to subtract (3x -2) from Joy's age to find out his age.
Michael
= (4x +5) -(3x -2)
= 4x +5 -3x +2 (expand)
= x +7
Thus, Michael is (x +7) years old.
!!!Brainliest to the first one to get it right!!!!
Which of the following is the difference of two squares?
A)8x^2-16y^
B)25m^2+100n^2
C)4g-16h
D)100a^4-9b^12
Answer: The Answer is A
Step-by-step explanation:
8x^2 - 16y^2
Answer:it’s A
Step-by-step explanation:took the test
Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?
well, is simply the difference from what the bottle has and what she poured, hmm let's firstly convert the mixed fraction to improper fraction and then subtract.
[tex]\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{2}~~ - ~~\cfrac{3}{4}\implies \cfrac{(2)5~~ - ~~(1)3}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{10-3}{4}\implies \cfrac{7}{4}\implies 1\frac{3}{4}[/tex]
PLS HELP ME OUTT!!!!
Answer:
90+36+(4x+6)=180
4x+6=54
4x=48
x=12
PLEASE HELP!!
(2x+3y-7)+(x-y)
show how you got the answer too please
Answer:
3x +2y -7
Step-by-step explanation:
The given expression can be simplified by combining like terms. Those are terms with the same variable. The commutative and associative properties of addition apply, as well as the distributive property.
(2x +3y -7) +(x -y) . . . . . given
= 2x +3y -7 +x -y . . . . . . eliminate (unneeded) parentheses
= (2x +x) +(3y -y) -7 . . . . group like terms
= (2+1)x +(3-1)y -7 . . . . . . combine coefficients of like terms (this is an application of the distributive property)
= 3x +2y -7