The mean for the discrete probability distribution is 3.73
What is a discrete probability distribution?Generally, To calculate the mean of a discrete probability distribution, you can use the formula:
Mean = ∑x * P(x)
Using this formula, the mean of the given distribution is:
Mean = (2 * 0.2) + (6 * 0.3) + (10 * 0.3) + (14 * 0.2) = 4
To calculate the standard deviation of a discrete probability distribution, you can use the formula:
Standard Deviation = √∑(x - mean)^2 * P(x)
Using this formula and the mean that we calculated above, the standard deviation of the given distribution is:
Standard Deviation = √( (2 - 4)^2 * 0.2 + (6 - 4)^2 * 0.3 + (10 - 4)^2 * 0.3 + (14 - 4)^2 * 0.2 )
= √( (-2)^2 * 0.2 + (2)^2 * 0.3 + (6)^2 * 0.3 + (10)^2 * 0.2 )
= √( 4 * 0.2 + 4 * 0.3 + 36 * 0.3 + 100 * 0.2 )
= √( 0.8 + 1.2 + 10.8 + 20 ) = √( 13.8 )
= approximately 3.73
Read more about discrete probability distribution
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Answer:
area of the triangle is
[tex] \frac{1}{2} \times 4.4 \times (6.1 + 3.3)[/tex][tex] 2.2 \times 9.4[/tex][tex]20.68 \: {in}^{2} [/tex]I need help please I’ll give you 15 points
Answer:
3 x 5 x 5
Step-by-step explanation:
75 = 15 x 5
15 = 3 x 5
Find the value of x (7TH GRADE MATH)
Answer:
the answer is 5
Step-by-step explanation:
a right angle has a total of 90 degrees
so you subtract 65 from 90 and get 25
that is the total degrees in the rest of the angle
then you would have to divide 25 by 5
leaving you with 5
3x + 7 = 5x
7 = 2x
What step would you take to get from 3x + 7 = 5x to get to 7 = 2x
Answer:
this goes with steps and answer
Step-by-step explanation:
hope this helped!
Edge! 15 pts! PLEASE HURRY! Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
Answer:
Side AH
Step-by-step explanation:
he other 3 sides only go through one face of the cube
Answer:
s√3
Step-by-step explanation:
Draw in the diagonal of the base, which is the line freom G to F. If the side length of this cube is s, then the length of this diagonal is
d = √(s² + s²) = (√2)s.
Now draw in the diagonal of the cube: draw a line segment from G to B. We have already found that the length of the diagonal GF is d = s√2. Apply the Pythagorean Theorem to the triangle whose sides are s√2 and s:
diagonal of cube = square root of the sum of the squares of s√2 and s:
= √(2s² + s²)= √(3s²) = s√3
Michelle is making a scale model of her favorite car. The actual car is 8 feet long and 4 feet wide. Michelle wants her model to be 12 inches in length. Which could be used to find the width of her model if she used the same ratio?
Answer:
6 inches
Step-by-step explanation:
It is given that :
Length of the actual car = 8 feet
Width of the actual car is = 4 feet
Michelle is making a model of her car.
The length of her model car = 12 inches
Therefore, the ration is 3 : 2
So the width of the model car = 4 x 3/2
= 6 inches
Luis puts $2,500 into an account that earns 5% interest per year for 3 years. Find the amount of interest earned on the account
Answer:
$375
Step-by-step explanation:
Given data
Principal= $2500
Rate= 5%
TIme = 3 years
We know that the expression for the simple interest is given as
SI=PRT/100
Substitute
SI= 2500*5*3/100
SI= 37500/100
SI= $375
A triangle has angle measurements of 44 degrees,87 degrees, and 49 degrees. What kind of triangle is it? acute,right, and obtuse.
x+2y+1=0,2x-3y-12=0 solve by substitution method
Answer:
Step-by-step explanation:
x=-1-2y
-2-4y-3y-12=0
-7y=14
y=-2
x=3
find value of x and y
Step-by-step explanation:
x = 144 ( corresponding angle)
y = 180- 144 ( linear pair)
y= 36°
?? I need a step by step explanation, please
Answer:
( 4 , − 1 )
Step-by-step explanation:
y= (x + 3)(x + 5)
y= x^2 + 5x + 3x + 15
y= x^2 + 8x +15
1)
Orange-Gi
Gina is buying 24 oranges. Two stores offer the following deals:
Store A: 12 oranges for $6.48
Store B: 5 oranges for $2.65
Gina can buy oranges individually.
How much will Gina save if she buys 24 oranges at Store B?
Show your work
Please help meeee
I will give u 14 points
Answer:
She will save 1.24
Step-by-step explanation:
2.65 x 4 10 .60 plus .53 x 4 equals 12.72
6.48 x 2 equals 13.96
y = 5x + 2
4x - y = 0
Is (2 , 12) a solution of the system?
Step-by-step explanation:
no , (2,12) only works for the 1st one
Answer:
Step-by-step explanation:
No
Dexter has 83 tiles left over from tiling his bathroom floor and he would like to use them to tile the front entrance of his house. Each tile has an area of 49 in^2. the function A(t)=49t represents the area A(t), in square inches that t tiles cover. What domain and range are reasonable for the function? What is the graph of the function?
Answer: [0, 396]
Step-by-step explanation:
The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.
0 to 44 written in interval notation is [0,44].
The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.
A(t) = 9t
A = 9(44)
A = 396
With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.
0 to 396 written in interval notation is [0, 396].
Write an expression that represents: 6 less than ⅓ times the sum of x and 4
Help please dont say I dont knoẁ and waste my points know or give something this is the second time I am asking this question
Answer:
(1/3-6) x (x+4)
Step-by-step explanation: Less than indicates you put the 1/3 first, giving you 1/3-6. Then you multiply that by x+4. Sum means additon! The X in the middle is a multiplacation symbol.
What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 4
Step-by-step explanation:
Let's find the length of JL as a first step. Knowing the result, we can easily find x.
|JL| 1
sin 30 degrees = ----------------- = --------
8√2 2
Then 2 |JL| = 8√2, or |JL| = 4√2
Next, find x: sin 45 degrees = x / |JL| = x / [4√2], and since sin 45 degrees is 1 / [√2],
1
x / [4√2] = -------- which results in x = 4
√2
PLEASE HELP ANSWER CORRECTLY !!!!!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!!
Hello, hehelol12.
The length of PR is the same as TR.
Length of PR = 11.
The measure of angle PQR is the same as angle RST.
Measure of angle PQR = 39
I hope this helps you out!
PS. Brainliest would be appreciated. :)
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
V = 612.3
Step-by-step explanation:
d = 6
r = 3
Volume of a cylinder:
V = πr²h
V = 3.14(3²)(20)
V = 3.14(9)(20)
V = 565.2
Volume of a cone:
V = πr²(h/3)
V = 3.14(3²)(5/3)
V = 3.14(9)(5/3)
V = 47.1
Combined:
565.2 + 47.1
612.3
What is the horizontal difference between (2, 4) and (-1, 0)?
Answer:
3
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLIST
Answer:
21 degrees
Step-by-step explanation:
The inscribed angle theorem states that when two cords (lines in a circle) make contact with the circumference of the circle (outer edge), and the two cords do not pass through the center of the circle, then the angle between the two cords is equal to half of the length of its surrounding arc. This means that the measure of arc (WV) is half of the measure of angle (WXV). Therefore, one can form an equation and solve for the length of the arc (WV).
2 (WV) = (m<WXV)
Substitute,
2 (WV) = (42)
Inverse operaitons,
2 (WV) = (42)
/2 /2
(WV) = 21
there is 1 pint of liquid in this container if another pint was added how much liquid would ther be
Answer:
2 us liquid pints =
0.25 us liquid gallon
Step-by-step explanation:
timothy is planting a garden. Tulips cost $125 per bub. The total cost c of his gardening supplies is $1.25 per bub b plus $10 for a bag of mulch. What is the independent and dependent variables and the equation and solution!
Answer:
Independent variable = number of bub (b)
Dependent variable = total cost (c)
Equation: c = $1.25b + $10
Timothy would spend: $20
Step-by-step explanation:
Total cost = c
Number of bub = b
✔️Total cost, c, is dependent on the number of bub, b.
Therefore:
Independent variable = number of bub (b)
Dependent variable = total cost (c)
✔️Equation that describes this situation can be written as:
c = $1.25b + $10
✔️If Timorhy buys 8 bubs, he would spend the following:
Substitute b = 8 into c = $1.25b + $10, and solve for c.
c = $1.25(8) + $10
c = $10 + $10
c = $20
Complete the following table using the equation: y = x squared
x
-3
-1
0
1
3
y
Plot the points on a graph and determine which graph best represents the equation.
Graph A
On a coordinate plane, a parabola opens up and goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4).
Graph B
On a coordinate plane, a parabola opens down and goes through (negative 2, negative 4), has a vertex at (0, 0), and goes through (2, negative 4).
a.
-9, -1, 0, -1, -9; Graph B
b.
9, 1, 0, 1, 9; Graph B
c.
9, 1, 0, 1, 9; Graph A
d.
-9, -1, 0, -1, -9; Graph A
Answer:
Step-by-step explanation:
ITS A
Answer:
The answer is C , Graph A
Step-by-step explanation:
Find the value of x.
Answer:
x = -7
Step-by-step explanation:
All triangle angles add up to 180
84 + x + 59 + x + 51 = 180
2x + 194 = 180
2x = 180 - 194
2x = -14
x = -7
_______ samples are used to ensure representation from different types of subgroups in a population.
Answer:
d
Step-by-step explanation:
can i have brainliest
Ms. Cathy bought a package of pens. Out of every 10 pens, 6 are black. If there are 20 pens in the pack, what fraction of the pens in the pack are black? What percent of the pens in the pack are black?
Answer:
12/20 or 60%
Step-by-step explanation:
Can somebody help with question 5.
2x+10=28
What is the solution to this equation
Answer:
x=9
Step-by-step explanation:
step 1. restate the equation
2x+10=28
step 2. subtract 10 from both sides of the equations
2x+10-10=28-10
2x=18
step 3. get x alone by dividing 2 from both sides
2x/2=18/2
step 4. the answer
x=9
Solve using substitution. y = 5 7x - 8y = -12
Step-by-step explanation:
y=57x-8y=-12
so we put the Y
y=-12
-12=57x-8y
57x-8x(-12)=-12
(-36/19,-12)<---- answer
Which of these is a trinomial?
A. 2x^3 – 7y^3
В. 5xy
C. 2x - 7
D. x + 2y^2-7
Answer:
D. x + 2y² - 7
Step-by-step explanation:
it because it has 3 terms