Using the expected value of a discrete distribution, it is found that X = 0.0673.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
In this problem, we have that the distribution is:
P(X = -17) = 1 - X.
P(X = 325) = X/3.
P(X = 276) = X/3.
P(X = 106) = X/3.
Hence, since the expected value is 0:
[tex]-17(1 - X) + 325\frac{X}{3} + 276\frac{X}{3} + 106\frac{X}{3} = 0[/tex]
[tex]-17 + 17X + 235.67X = 0[/tex]
[tex]252.67X = 17[/tex]
[tex]X = \frac{17}{252.67}[/tex]
[tex]X = 0.0673[/tex]
More can be learned about the expected value of a discrete distribution at https://brainly.com/question/24855677
you throw a rock up into the air as hard as you can. it stays in the air for 8 seconds. what was the velocity of the rock when you threw it?
Answer:
39.2 m/s
Step-by-step explanation:
Let a = 9.8 m/s^2, t = 8 sec, find the initial velocity v
After time t, the rock hit the ground, so the height h = 0
Use h = vt - at^2/2 = 0
v = at/2 = 9.8 * 8/2 = 39.2 m/s
Use the piecewise function graph to the right to find:
Answer:
a) f(-8) = 1
b) f(-4) = 5
c) f(2) is undefined
Step-by-step explanation:
f(x) notation means "the function of x". Therefore, for f(-8) you need to find the y value when x = -8. Locate -8 on the x-axis and then follow up (or down) until you meet the curve/line. Then find the corresponding y-coordinate of this point.
From inspection of the graph:
a) f(-8) = 1
b) f(-4) = 5
c) f(2) is undefined
Determine the type of solution you will have if you get x=0.25
Uhhhh a rational solution? an nonintegral solution? A system of linear equations? Multiple systems of nonlinear equations?
I need help figuring out what the area is of the given shape
Answer:
15ft square
Step-by-step explanation:
Area of triangle =1/2b×h
=1/2×6ft×5ft
=1/2×30ft square
=15ft square
symmentry of pentagon
Answer:
5 is the answer..................
she sells tickets for $15 each her goal is to raise more than $180 how many tickets to get her goal
Answer:
12
Step-by-step explanation:
you will have to divide $15 by $180 and when you do that your result should end up being 12, hope that helped
Pierce has 1/4 as many tokens as Kelly. Ron has 8 more than 50% of the tokens that Kelly has. Kelly has 64 tokens. Write an expression for the total number of tokens the group has.
Answer:
120
Step-by-step explanation:
Kelly = 64 tokens
Ron = 40 tokens
Pierce = 16 tokens
Total = 120 tokens
What is the solution to the equation below. square root x + 6 = x - 6
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
[tex]\sqrt{x+6} =x-6\\[/tex]
square both sides:
[tex]\implies x+6=(x-6)^2[/tex]
Expand brackets:
[tex]\implies x+6=x^2-12x+36[/tex]
Collect and combine like terms:
[tex]\implies x^2-13x+30=0[/tex]
[tex]\implies (x-10)(x-3)=0[/tex]
[tex]\implies x=10, x=3[/tex]
Substitute values back into original equation:
[tex]x=10: \sqrt{10+6} =10-6 \implies 4 = 4 \ \ \checkmark[/tex]
[tex]x=3: \sqrt{3+6} =3-6 \implies 3 = -3 \ \ \textsf{incorrect!}[/tex]
Therefore, [tex]x=10[/tex] only
[tex]\\ \tt\rightarrowtail \sqrt{x+6}=x-6[/tex]
[tex]\\ \tt\rightarrowtail x+6=(x-6)^2[/tex]
[tex]\\ \tt\rightarrowtail x+6=x^2-12x+36[/tex]
[tex]\\ \tt\rightarrowtail x^2-13x+30=0[/tex]
[tex]\\ \tt\rightarrowtail x^2-10x-3x+30=0[/tex]
[tex]\\ \tt\rightarrowtail (x-3)(x-10)=0[/tex]
[tex]\\ \tt\rightarrowtail x=3,10[/tex]
The graph shows the cost of bowling at a bowling ally.
How much is the cost of each game?
Answer:
Step-by-step explanation:
( 2 , 26 )
( 0 , 4 )
m = (26 - 4 ) / ( 2 - 0 ) = 11
Cost of each game is $11
How are triangles related to quadrilaterals?
Answer:
The triangle's area formula is half of the quadrilateral's area formula
Step-by-step explanation:
If we put triangle ONE on top of triangle MHS, we could compare each angle, and we would find that the corresponding angles are all congruent. If we measured the angles, we would find that the corresponding angles are congruent. Therefore, these quadrilaterals are similar.
A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is 980 meters from the base of the cliff. The angle of elevation from sea level to the base of
the lighthouse is 47.3. The angle of elevation from sea level to top of the lighthouse is 51.3°. Find the height of the lighthouse from the top of the cliff.
Do not round any intermediate computations. Round your answer to the nearest tenth.
Note that the figure below is not drawn to scale.
The height of the lighthouse from the top of the cliff is 161.2 cm
The situation forms two right angle triangle.
Right angle triangleRight angle triangle has one of its angles as 90 degree. Therefore, the sides and angles can be found using trigonometric ratios as follows;
tan 51.3 = opposite / adjacent
where
opposite = height of cliff and light house = x
adjacent = distance of the ship from the base of the cliff
Therefore,
tan 51.3 = x / 980
cross multiply
x = 980 tan 51.3
x = 1223.23995563 meters
tan 47.3 = opposite / adjacent
where
opposite = height of cliff = y
adjacent = distance of the ship from the base of the cliff
tan 47.3 = y / 980
y = 980 tan 47.3
y = 1062.01582791 meters
The height of the lighthouse from the top of the cliff = 1223.23995563 - 1062.01582791 = 161.224127725 = 161.2 cm
learn more on trigonometric ratio here: https://brainly.com/question/26299702
Find the volume of the prism
Answer:
The volume of the prism is 20 meters.
Step-by-step explanation:
2 x 2 x 5 equals 20
Answer:
20 m³
Step-by-step explanation:
Volume of a rectangular prism = width x length x height
Given:
width = 2length = 2height = 5⇒ volume = 2 x 2 x 5 = 20 m³
A meal has 408 calories in 8 servings. Find the unit rate.
Answer:
51 calories per serving
Step-by-step explanation:
Take the total number of calories and divide by the number of servings
408 calories / 8 servings
51 calories per serving
plz answer the following file attached
Answer:
i like how to tell us to answer something with no file
Step-by-step explanation:
help asap with this question please
Answer:
Here is the graph for the equation, which is y = 4^x
Step-by-step explanation:
Hope this helps =)
PLEASE HELP ME WITH THIS !! ILL GIVE BRAINLIEST
Answer:
D. d ≈ 9.4
Step-by-step explanation:
[] We can use the distance formula to solve
-> The distance formal is attached.
[tex]d = \sqrt{(4-9)^{2}+ (2-10)^{2} }[/tex]
[tex]d = \sqrt{(-5)^{2}+ (-8)^{2} }[/tex]
[tex]d = \sqrt{25+ 64 }[/tex]
[tex]d = \sqrt{89}[/tex]
d ≈ 9.4
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
A shipment of 13 microwave ovens contains six defective units. A vending company purchases four units at random.
(a) What is the probability that all four units are good?
(b) What is the probability that exactly two units are good?
(c) What is the probability that at least two units are good?
A certain Tutoring company promised that they will help Suzy's son,Sidney ,to increase his marks by 50% or more.Sidney's Mathematics average mark was 30%.At the end of the year.Sidney's mark increased to 48%.Did this Tutoring company deliver?
Answer:
yes
Step-by-step explanation:
48 - 30 = 18
18/30 = 3/5 = 60%
A negative number is always less than a positive number do you beliece in that statement? why or why not
Answer:
yes a negative number is less than a positive.
Step-by-step explanation:
Because the negative number is below zero and positive number are above Zero
g^2 + 13g Find the value of this expression where g=4
68
23
5
456
Answer:
68
Step-by-step explanation:
=> g²+13g
putting the value of g which is 4
=> 4²+13(4)
=> 16+52
=> 68
Answer:
68
Step-by-step explanation:
We simply just plug in 4 for g since the problem states that "g=4"
Which turns our expression to "[tex]4^{2} +13(4)[/tex]"
_________________________
We start by calculating what [tex]4^{2}[/tex] equals which is 16 (4 * 4)
Now we do 13 times 4 which is 52
52 + 16 = 68
Find the area of the given figure which have all the squares corners.
Answer:
area of the given figure: 58 m²
Explanation:
area of rectangle: length * width
total area:
( 2 * 5 + 12 * 4 )
58 m²
Answer:
The area of the given figure is 58 m².
Step-by-step explanation:
Dividing the given figure into two parts :
➛ Big rectangle ➛ Small rectangle———————————————————————
Firstly, finding the area of bigger rectangle by substituting the values in the formula :
[tex]\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}[/tex]
➣ l = 12 m➣ b = 4 m[tex]\begin{gathered} \qquad\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 12\times 4}}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} =48}}}\\\\\qquad{\star{\underline{\boxed{\sf{\pink{A_{(Rectangle)} =48 \: {m}^{2}}}}}}} \end{gathered}[/tex]
Hence, the area of bigger rectangle is 48 m².
———————————————————————
Secondly, finding the area of smaller rectangle by substituting the values in formula :
[tex]\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}[/tex]
➠ l = 5 m➠ b = 2 m[tex]\begin{gathered} \qquad\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 5\times 2}}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} =10}}}\\\\\qquad{\star{\underline{\boxed{\sf{\purple{A_{(Rectangle)} =10 \: {m}^{2}}}}}}} \end{gathered}[/tex]
Hence, the area of smaller rectangle is 10 m².
———————————————————————
Now, finding the total area of given figure by substituting the values in the formula :
[tex]\longrightarrow{\pmb{\sf{Total \: Area = A_{(Big)} + A_{(Small)}}}}[/tex]
→ [tex]\rm{A_{(Big)}}[/tex] = Area of big rectangle → [tex]\rm{A_{(Small)}}[/tex] = Area of small rectangle[tex] \begin{gathered} \qquad{\longrightarrow{\sf{Total \: Area = A_{(Big)} + A_{(Small)}}}} \\ \\ \quad{\longrightarrow{\sf{Total \: Area = 48 + 10}}} \\ \\ \quad{\longrightarrow{\sf{Total \: Area = 58}}} \\ \\ \quad{\star{\underline{\boxed{\sf{\red{Total \: Area =58\: {m}^{2}}}}}}} \end{gathered}[/tex]
Hence, the total area of the given figure is 58 m².
[tex]\rule{300}{2.5}[/tex]
You bought a laptop and paid initial $150 you will
Make 12 payments of $69.50 how much will computer cost of your state charges 6% sales tax on the total sale?
Answer:
Step-by-step explanation:
Total Cost = 150 + 69.50*12
Total Cost = 150 + 834
Total Cost = 984
Hidden in that is a 6% sales tax
Cost before sales tax = 1.06 * x = 984. This is the key step. The 6% sales tax is hidden in the 1.06. So you call the original price = x.
1.06 * x = 984 Divide by 1.06
x = 928.3 without the sales tax
The question seems to be answered by 984. The sales tax is in that cost.
Anita recorded the amount of rainfall each day for 14 days. What was the total amount of rainfall in the 14 days?l
Answer Choices:
A. 6 7/8 inches
B. 4 1/2 inches
C. 3 3/8 inches
D. 1/8 inches
The total amount of rainfall is the sum of the rainfall on each day
The total amount of rainfall is [tex]3\frac 38[/tex] inches
How to determine the total amount of rainfallFrom the dot plot, we have the following frequency table
Rainfall Frequency
0 4
1/8 5
1/4 1
3/8 2
1/2 1
1 1/4 1
So, the total amount of rainfall is:
[tex]Total = 0 * 4 + \frac 18 * 5 + \frac 14 * 1 + \frac 38 * 2 + \frac 12 * 1 + 1\frac 14 * 1[/tex]
Evaluate the sum
[tex]Total = 3\frac 38[/tex]
Hence, the total amount of rainfall is [tex]3\frac 38[/tex] inches
Read more about dot plots at:
https://brainly.com/question/15853311
tan 45° + cos 60
Sin 150°
Answer:
solution:
2+2cos (60)
Step-by-step explanation:
wc:>
What is the solution to this inequality?
7x - 4< 4(x+3)
Answer:
x <16/3
Step-by-step explanation:
7x - 4< 4(x+3)
Distribute
7x - 4< 4x+12
Subtract 4x from each side
7x-4x - 4< 4x-4x+12
3x-4 < 12
Add4 to each side
3x-4+4 < 12+4
3x<16
Divide each side by 3
3x/3 <16/3
x <16/3
Question 8 of 13
The table below represents the closing prices of stock ABC for the last five
days. Using your calculator, what is the equation of linear regression that fits
these data?
Day
1
2
Value
24.31
23.31
23.01
23.16
23.27
4
Un
5
O A. y=-0.147x + 19.217
O B. y=-0.223x + 24.081
O c. y = 0.194x - 24.815
O D. y=-0.237x + 25.139
SUBMIT
Linear regression are used to represent scatter plots
The linear regression equation is: [tex]y = -0.223x + 24.081[/tex]
How to determine the linear equationStart by entering the table values in a graphing calculator.
From the graphing calculator, we have the following calculation summary
Sum of X = 15Sum of Y = 117.06Mean X = 3Mean Y = 23.412Sum of squares (SSX) = 10Sum of products (SP) = -2.23Hence, the linear regression equation is:
[tex]y = -0.223x + 24.081[/tex]
Read more about linear regression at:
https://brainly.com/question/25987747
The line of best fit is y = -0.223x + 24.081
Linear equation
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line (rate of change) and b is the y intercept (initial value of x).
Plotting the values of the table using geogebra online graphing tool, the line of best fit is y = -0.223x + 24.081
Find out more on Linear equation at: https://brainly.com/question/14323743
estimate the area of a circle with 28 cm
Answer:
[tex]A=784\pi[/tex]
Step-by-step explanation:
Calculate area of the circle:
[tex]A=784\pi[/tex]
PLEASE I NEED HELP QUICKLY!! Solve for x in the figure.
Answer:
23 degrees
To get this:
5x means 5 squared, also known as 5 times itself. 5x5 is 25.
25 - 2 is 23.
23 degrees should be it.
Answer:
The value of x is 16 degree
Step-by-step explanation:
5x-2=78(vertically opposite angle)
or,5x=78+2
or,x=80/5
x=16
Please help with this fractions problem god bless you and ypur loved ones
Answer:
A=4. B=5. C=24
A parallelogram has an area of 37 square feet. If the height of the parallelogram is 4 feet, how many feet is the base?
Answer:
9.25 ft
Step-by-step explanation:
We know that area of parallelogram= base × height