30 POINTS! HELP!!
The table shows the probability distribution of siblings of students in a high school with 1500 students. What is the expected value for the number of siblings of a randomly chosen student?
A. 2.5
B. 1.29
C. 1.08
D. 1.11
Answers
The expected value for the number of siblings of a randomly chosen student is 1.11.
What is expected value mean?"In a probability distribution, the weighted average of possible values of a random variable, with weights given by their respective theoretical probabilities, is known as the expected value".
For the given situation,
The table shows the probability distribution of siblings of students in a high school with 1500 students.
For number of siblings = 0, Probability = 0.18.
For number of siblings = 1, Probability = 0.65.
For number of siblings = 2, Probability = 0.09.
For number of siblings = 3, Probability = 0.05.
For number of siblings = 4, Probability = 0.02.
For number of siblings = 5, Probability = 0.01.
The formula for expected value mean, E(x) = ΣxP(x)
[tex]E(x)=(0)(0.18)+(1)(0.65)+(2)(0.09)+(3)(0.05)+(4)(0.02)+(5)(0.01)[/tex]
⇒ [tex]E(x)=1.11[/tex]
Hence we can conclude that the expected value for the number of siblings of a randomly chosen student is 1.11.
Learn more about expected value here
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Related Questions
I GIVE YOU 50 points for this question!
3000 dollars is invested at 5% pa (per year). Simple interest for 4 years. Find the total
Amount of interest
and
value of the investment
Answers
Answer:
easy what's 5% of 3000 that's just for one year then multiple it by 4
Point 4,6 is reflected across line y= X and then dilated by a factor of 1/2 using the origin as the center of dilation. What is the resultant point?
Answers
9514 1404 393
Answer:
(3, 2)
Step-by-step explanation:
Reflection across y=x swaps the coordinates:
(x, y) ⇒ (y, x)
Dilation by a factor of 1/2 multiplies each coordinate by 1/2.
(x, y) ⇒ (x/2, y/2)
The combination of these transformations gives you ...
(x, y) ⇒ (y/2, x/2)
(4, 6) ⇒ (3, 2)
I need help!!! Please
Answers
Answer:
A
Step-by-step explanation:
The value of point B is greater than the value of point A in this number line.Why is this true?
Answers
Answer:
Point B is to the right of point A
Step-by-step explanation:
On a number line, the mid value is usually 0 with positive and negative numbers positioned to the either sides of the midpoint 0, the negative numbers are arranged to the left and the positive numbers are written to the right. With this in mind and the knowledge that positive numbers are always greater than negative numbera. Then we can conclude that point B is greater than point A because point B is positive and point A is negative because point B is to the right of Point A.
I need help on this.
Answers
9514 1404 393
Answer:
(a) $1430
(b) $1340
(c) Debit card
Step-by-step explanation:
(a) The debit card is funded by Jenny's checking account, so it cannot be used to spend more than her checking account balance. The most Jenny can spend using her debit card is $1430.
__
(b) Amounts purchased using her credit card add to the credit balance. The most Jenny can purchase is the difference between her current balance and her credit limit.
Limit - balance = $2350 -1010 = $1340
The most Jenny can spend using her credit card is $1340.
__
(c) For a purchase of $1400, the amount available on Jenny's credit card is insufficient. She can make the purchase using her debit card.
The ratio of dogs to cats is 7:2. Why is the ratio of dogs to 8 cats?
Answers
Answer:
28
[tex]\frac{7}{2} \\\\\frac{x}{8}[/tex]
[tex]2 * x = 8\\x = 4[/tex]
[tex]7 * 4 = x\\x = 28[/tex]
PLZZ GIVE BRAINLIEST
Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32
12 and 18
32 and 64
40 and 60
14 and 41
Answers
Answer:
i think the answer is 12 and 18
i will give Brainiest if you are right
Answers
Answer:
G
Step-by-step explanation:
G. Plug in x=5 to x-2<7
which becomes
5-2<7
3<7
which is correct.
Hope This Helps!
Can y’all please help me?!
Answers
Answer:
10.5, 31.5, and 6.
Step-by-step explanation:
So to find the answers here, we must find the value of t, when h equals 1.
To do this, lets take a h-t value we already know, and solve.
We can use: when h=2 t equasl 21:
2h=21t
So if we divide both sides by two we get:
2h/2=21t/2
=
h=10.5t
So know we know for every one h, t is 10.5
This can be verifyed with 4h = 42t. Which after solving, equals 1h=10.5t
So now that we have a value for t, lets get our solutions.
First off, we have 1h=__t?
Well, we have already made this one clear. It would be 10.5t, since for every 1h we have 10.5t
Next up, we have 3h=___t
All we have to do it multiply 10.5 by 3 to solve this:
10.5*3
=
31.5
So this is our second fill in answer.
Finally we have ___h=63t
We must divide both sides by 10.5, which is equal to 1t, to find this answer:
63/10.5
=
6
So our last fill in answer is 6.
Hope this helps!
PLEASE HELP I WILL GIVE BRAINLIEST!!!
Answers
8x + 7 = 6x + 15
what is x
Answers
Answer:
x = 4
Step-by-step explanation:
i am smart
Answer:
X=4
Step-by-step explanation:
Simplifying
8x + 7 = 6x + 15
Reorder the terms:
7 + 8x = 6x + 15
Reorder the terms:
7 + 8x = 15 + 6x
Solving
7 + 8x = 15 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
7 + 8x + -6x = 15 + 6x + -6x
Combine like terms: 8x + -6x = 2x
7 + 2x = 15 + 6x + -6x
Combine like terms: 6x + -6x = 0
7 + 2x = 15 + 0
7 + 2x = 15
Add '-7' to each side of the equation.
7 + -7 + 2x = 15 + -7
Combine like terms: 7 + -7 = 0
0 + 2x = 15 + -7
2x = 15 + -7
Combine like terms: 15 + -7 = 8
2x = 8
Divide each side by '2'.
x = 4
Simplifying. Hope this helps :D
x = 4. Plz brainly and like
Benjamin has 10 marbles in a bag. 4 are red, 2 are blue, 3 are green, and 1 is yellow.
Part A: What is the probability of drawing a color other than blue?
Part B: You draw two marbles with replacement. What is the probability of drawing a red, then a blue?
Part C: What is the probability that you draw a yellow and then draw a red without replacement?
Answers
Answer:
A) 4/5
B) 2/25
C) 2/45
Step-by-step explanation:
A) P(not blue) = 8/10 or 4/5
B) P(red,blue) = 4/10 x 2/10 = 2/25
C) P(yellow,red) = 1/10 x 4/9 = 2/45
I will give Brainiest if your right
Answers
Answer:
-7
Step-by-step explanation:
Sum means addition:
18 + 0 + (-4) + (-12) + 6 + (-15) = -7
You can also combine like terms to get:
24 + (-31) = -7
Answer:
b) -7
Step-by-step explanation:
hope this helps you :)
The figure shown is created by joining two rectangles.
(picture will be shown)
enter the area, in the square inches, of the figure
Answers
Answer:
1375 square inches
Step-by-step explanation:
Area= Length × Width
15in×75in=1125in
25in×10in=250in
250in + 1125in= 1375square inches
thor peeled 14 oranges every 21 hours. at this rate, how many would he peel in 9 hours?
Answers
Answer:
13.5
Step-by-step explanation:
14 oranges in 21 hour translates to:
3/2 oranges per hour.
So, in 9 hours thor can peel 13.5 oranges.
An unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shown below.
y = x + 10
y = −x + 3
Which of the following statements is a correct step to find x and y? (4 points)
Group of answer choices:
A) Add the equations to eliminate x.
B) Multiply the equations to eliminate y.
C) Write the points where the graphs of the equations intersect the x-axis.
D) Write the points where the graphs of the equations intersect the y-axis.
Answers
Answer:
Add the equations to eliminate x
Step-by-step explanation:
What is the circumference of circle P in terms of pi (3.14)
A. 4cm
B. 8 cm
C. 16 cm
D. 64 cm
Answers
The number of direct-report employees to the department directors of a company are as follows: 23, 28, 41, 29, 33, 38, 42, and 18.
Which type of graph would be best to use to show the differences among the numbers of direct-report employees?
a bar graph
a circle graph
a histogram
a line graph
Answers
Answer:
Question?
Step-by-step explanation:
?
Since the values belong to different divisions, it’s best to use the bar graph because you can compare them side by side.
HELP!
Drag each me to the correct location on the table
Match each sentence to the term it's describing
The policy offers coverage
for a cost of $178 per month
The policy will pay for up to
$100,000 of damage to
another person's property.
The policyholder must pay
the first $1,000 of repair
expenses before insurance
will pay for anything,
The policyholder must
pay $500 semiannually
to the insurance provider
The policy will pay only
$100 per incident for a
tow truck
Limit
Deductible
Premium
M
Answers
Answer:
LIMIT
The policy will pay for up to
$100,000 of damage to
another person's property.
The policy will pay only
$100 per incident for a
tow truck
DEDUCTIBLE
The policyholder must pay
the first $1,000 of repair
expenses before insurance
will pay for anything,
PREMIUM
The policy offers coverage
for a cost of $178 per month
The policyholder must
pay $500 semiannually
to the insurance provider
Step-by-step explanation:
LIMIT is the maximum amount an insurer will pay toward a covered claim
DEDUCTIBLE is the amount paid out of pocket toward a covered claim
PREMIUM is the amount paid regularly to keep the policy in force.
Which shows all the factors pairs of 45? O A. 4,5 B. 5,9 O C. 1,45 5,9 D. 1,45 3, 15 5,9 O E. 1,45 3, 15 4,5 5,9
Answers
Answer:
D
Step-by-step explanation:
The figure shows a vertical section through the
axis of a solid paper weight made in the shape of a right circular cone. Its height is 8 cm and the diameter of its base is 4 cm. The shaded portion is made of lead 2 cm thick while the unshaded portion is made of wood. The density of lead and wood are 11.3 g/cm and 0.9 g/cm respectively.
Find,
(i) the total volume of the paper weight,
(ii) the volume of the wooden portion,
(iii) the total mass of the paper weight.
Answers
Answer:
i. 33.51 cm³
ii. 14.14 cm³
iii. 231.61 g
Step-by-step explanation:
(i) the total volume of the paper weight,
Since the paper weight is in the form of a cone, its volume is the volume of a cone V = πD²h/12 where D = diameter of cone = 4 cm and h = height of cone = 8 cm
So, V = πD²h/12
V = π(4 cm)² × 8 cm/12
V = 16π cm² × 8 cm/12
V = 128π cm³/12
V = 402.124 cm³/12
V = 33.51 cm³
(ii) the volume of the wooden portion,
The volume of the wooden portion, V' = πr'²h'/3 where r' = radius of wooden portion and h' = height of wooden portion
From similar triangles in the figure, we have
height of wooden portion, h'/radius of wooden portion, r' = height of paper weight, h/radius of paper weight, r
h'/r' = h/r where r = D/2 where D =diameter of paper weight = 4 cm. So, r = 4 cm/2 = 2 cm
and h' = height of paper weight - height of lead portion = 8 cm - 2 cm = 6 cm
So,
r' = rh'/h = 2 cm × 6 cm/8 cm = 12 cm²/8 cm = 1.5 cm
So, V' = πr'²h'/3
V' = π(1.5 cm)² × 6 cm/3
V' = π2.25 cm² × 2 cm
V' = 4.5π cm³
V' = 14.14 cm³
(iii) the total mass of the paper weight.
The total mass of paper weight, m = mass of wooden portion + mass of lead portion = ρ'V' + ρ"V" where ρ' = density of wood = 0.9 g/cm³, V' = volume of wooden portion = , ρ" = density of lead = 11.3 g/cm³ and V" = volume of lead portion = V - V' = 33.51 cm³ - 14.14 cm³ = 19.37 cm³
So, m = 0.9 g/cm³ × 14.14 cm³ + 11.3 g/cm³ × 19.37 cm³
m = 12.726 g + 218.881 g
m = 231.607
m ≅ 231.61 g
6. Two linear equations are shown in the graph.
*(0.6)
(6,5),
COD).
(6.0)
dat
35344
tett
What are the coordinates of the point where the two lines intersect?
A. (-2, 3)
B. (3, 0)
C.(-3.3)
D. (3, 3)
Mark for review (Will be highlighted on the review page)
Alaviation
Answers
Answer:
D.(3, 3)
Step-by-step explanation:
The equation of a straight line is given as:
y = mx + c;
where x, y are variables, m is the slope of the line, c is the y intercept.
From the graph, we can see that line 1 passes through (6,0) and (0,6).
The equation of line 1 is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{6-0}{0-6} (x-6)\\\\y=-x + 6\ \ \ (1)[/tex]
Line 2 passes through (6, 5) and (0, 1)
The equation of line 2 is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-5=\frac{1-5}{0-6} (x-6)\\\\y=\frac{2}{3}x + 1\ \ \ (2)[/tex]
To get the coordinates of the intersection of the two lines, we solve equation 1 and 2 simultaneously using a calculator. This gives:
x = 3, y = 3
Therefore the two lines meet at (3, 3)
The manufacturer of running shoes conducted a study on its newly developed jogging shoe. Listed are the type and frequency of the nonconformities and failures found. A Pareto chart to show the major problem areas is given below. (Round your answers to 1 decimal place.) Type of Nonconformity Frequency Type of Nonconformity Frequency Sole separation 36 Lace breakage 13 Heel separation 92 Eyelet failure 8 Sole penetration 60 Other 16
Answers
Answer: Hi your question is poorly structured I believe your question is construct a pareto chart to show the major problem areas
answer : attached below is the pareto chart.
Step-by-step explanation:
Rearranged table starting from highest frequency
The type of Nonconformity Frequency Percentage
Heel separation 92 40.89
sole penetration 60 26.67
Sole separation 36 16
Other 16 7.11
Lace breakage 13 5.8
Eyelet failure 8 3.5
Total = 36 + 13 + 92 + 8 + 60 + 16 = 225
Next step : determine the percentages of the various Nonconformity
sole separation = 36 / 225 ) * 100 = 16%
lace breakage = ( 13/225 ) * 100 = 5.8% = 6%
Heel separation = ( 92/225 ) * 100 = 40.89% = 41%
Eyelet Failure = ( 8 /225 ) * 100 = 3.5% = 4%
sole penetration = ( 60 / 225 ) * 100 = 26.67% = 27%
other = ( 16 / 225 ) * 100 = 7.11% = 7%
Next plot the Two columns using excel to show the Pareto chart attached below is a screen shot of the plot
A bookshelf costs $300 normally. Today it is on sale and decreased by 20% However there is
also a 4% sales tax. What is the new cost of the bookshelf?
Answers
Answer:
249.60
Step-by-step explanation:
300 x .8 (100%-20%)=240
240 x .04 (4% sales tax)=9.60
price = 240+9.60=249.60
In triangle ABC, angle A and angle B are remote interior angles to an exterior angle that measures 60 degrees. If measure of angle A = 30, what is the measure of angle B?
30
60
90
45
Answers
Answer:
30 Step-by-step explanation:
Answer:
Its 60
Step-by-step explanation:
I took the test
find the area of the figure
Answers
To find the area of a rectangle, multiply its height by its width.
Given that f(x)=x^3, which equation describes the graph of function g?
a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3
Answers
Answer:
A or g(x) = f(x − 3) + 3
Step-by-step explanation:
question 1. The sticker price of a picture frame is $10 and the sales tax is 10%. What is the total price of the picture frame?
question 2. The sticker price of a soccer ball is $39.99 and the sales tax is 8%. What is the total price of the soccer ball?
question 3. The sticker price of a soccer ball is $39.99 and the sales tax is 8%. If I bought 3 soccer balls, what is the total price paid including tax?
!NO EXPLANATION NEEDED! just need all of these answered!
Answers
Answer:
1: $11
2: $43.19
3: $128.57
Step-by-step explanation:
10 • 1.10 = 11
39.99 • 1.08 = 43.19
43.19 • 3 = 128.57
What is the volume of the cylinder below?
Use 3.14 for pi.
Answers
Answer:
using 3.14 for pi the volume is 502.4
Step-by-step explanation:
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answers
Answer:
It's Cos again.
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