A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly, and I choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled, and I again choose a card at random, observe its color, and replace it in the set. This is done a total of four times. Let X be the number of red cards observed in these four trials. The mean of X is:
Answer:
The mean of X is 2
Step-by-step explanation:
Given the data in the question;
set of 10 cards consist of 5 red card and 5 blacks
cards are chosen, replaced and shuffled four times;
number of independent trials n = 4
now, since its is replaced, the probability of getting a red card in each trial will be;
p = 5/10 = 0.5
let X rep the number of red cards observed in the four trials.
the random variable follows binomial distribution where
n = 4 and p = 0.5
so
E(X) = ∑xP( X = x )
E(X) = np
we substitute
E(X) = 4 × 0.5
E(X) = 2
Therefore, The mean of X is 2
I NEED HELP ASAP PLEASE
Cell phone Plan A costs$70 per month and comes with a free$500 phone. Cell phone Plan Bcosts$50 per month but does not come with a phone. If you buy the$500 phone and choose Plan B, how many months is ituntil your cost is the same as Plan A's?
Answer:
7.8 months but you can round it to 8 months
Step-by-step explanation:
PLS HELP
A triangle is shown.
Part A: What is the value of x, in degrees?
13.8
16
20
24
Part B: What is the measure of 2Ain degrees?
22
30
38
48
Answer:
A: x=16
B: ∠A=22
Step-by-step explanation:
A
The angles in a triangle always add up to 180. Therefore:
∠A+∠B+∠C=180
(2x-10)+(3x)+(4x+46)=180
2x+3x+4x+46-10=180
9x=180-36
x=144/9
x=16
B
∠A=2x-10
∠A=2(16)-10
∠A=32-10
∠A=22
Need the answer to x and y !
x = 2 y = 7
Step-by-step explanation:
the explan at the pic
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 140°, what is the
measure of ZQRS?
MZQRS = [?]
Answer:
m<QRS = 40
Step-by-step explanation:
180 - 140 = 40
The measure of angle m∠QRS which is supplementary to m∠ABC is determined as 40⁰.
What is a supplementary angle?A supplementary angle is a pair of angles that add up to 180 degrees.
That is to say, if we have two angles and their measures sum up to 180 degrees, then they are supplementary angles. Each angle in a supplementary pair is called the "supplement" of the other angle.
The measure of angle QRS is calculated by applying the following formula as follows;
m∠QRS + m∠ABC = 180 (supplementary angles add up to 180)
m∠QRS + 140 = 180
m∠QRS = 180 - 140
m∠QRS = 40⁰
Thus, the measure of angle m∠QRS which is supplementary to m∠ABC is determined as 40⁰.
Learn more about supplementary angles here: https://brainly.com/question/12919120
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a ski resort charges $45 for an All day lived pass and $40 per day for renting boots and a snowboard. At a store, you can buy boots and a snowboard for $360. How many times must you go snowboarding at the ski resort for the cost of buying your own boots and snowboard to be less than renting them?
I need help in this question. I am not understanding what it is telling me so HELP
Answer: You solve it its easy subtraction :)
Step-by-step explanation:
$14,000 - $5,358 - $2,834 - $4,132 = answer
What is the value of z? Refer to the attached image. Show work pls :)
PLZZZ HELP!!! ASAP
Will mark brainiest :)))
Answer:
Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em
this is only the explanation how to do it with you want the answer ask in the comment section
Step-by-step explanation:
Answer:
4. 1230
Step-by-step explanation:
A rectangle has parallel sides, so we know two sides are 30. 30+30=60. We subtract 142-60=82. Then we divide by two: 82/2=41. Then you know that both sides are 41 and 30. Multiply, and you get 1230.
PLEASE HELP ASAP PLZZ I WILL GIVE BRAINLIEST In order to increase the circumference of a circle from 12pi cm to 18pi cm, by how much must the diameter increase?
Answer:
This is because the diameter of the smaller circle is 12pi/pi which is 12, and the diameter of the bigger one is 18pi/pi which is 18. 12 + 6 = 18, so the diameter increases by 6.
Step-by-step explanation:
brinliest pls
Answer:
6
Step-by-step explanation:
I need help understanding this, I don't mind if you just give me the answer but just tell me, please.
Answer:
73.50
Step-by-step explanation:
Answer:
67.5
Step-by-step explanation:
his earnings increase in a linear way so we can express it as linear equation;
y = ax+ b ,
a is the slope in this case it is 7.5$ for every hour
b is the initial value, in this case 0
y = 7.5x
we will write 9 insted of x to find the amount of money when working for 9 hours;
y = 7.5 x 9 = 67.5
The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:
Step 1: 3(3y − 8) = 10 + 3y
Step 2: 6y − 5 = 10 + 3y
Step 3: 3y − 5 = 10
Step 4: 3y = 15
Step 5: y = 5
In which step did the student first make an error and what is the correct step?
Step 2: 9y − 24 = 10 + 3y
Step 2: 6y + 11 = 10 + 4y
Step 3: 6y − 8 = 3(6 + y)
Step 3: 3(3y − 8) = 7 + y
1. Verizon Wireless would like to estimate the proportion of households that use cell phones for their phone service without a land line. A random sample of 150 households was selected and 48 relied strictly on cell phones for their service. Based on the sample, construct a 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone service.
Answer:
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.
This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
tion
4. Solve the equation below.
7.7 + d = 10.5
A 18.2
C -18.2
B -2.8
D 2.8
US
lol helpppppppppp ♀️
Answer:
The answer is 52.6038
Step-by-step explanation:
Answer:
Step-by-step explanation:
52.6038
Naming with the vertex only won't work when there are multiple angles with the same vertex. True or False?
Graph f(x) = 2 x + 3 + 2.
Answer:
HOPE IT'S HELPS YOU....Explain:In (4a)^3
•c
Answer:
Step-by-step explanation:
(4a)^3
4^3 a^3
=12a
What is the answer for this is it a B C or D
Answer:
AB and CD are parallel lines.
hence answer is D
Good day mate
11) A fitness center charges $5per visit, plus an additional monthly fee of $15.
If Rick visits the gym 15 times in a month, how much would it cost him?
If you can do both that would be great
Answer:
$90
Step-by-step explanation:
15 × 5 = 75
75 + 15 = 90
$90
Answer:
It would cost Rick $90, if he visted the Gym 15 times in a month.
Step-by-step explanation:
15 x 5 =75
75 + 15 =90
PLEASE!!
What is the COMBINED surface area of the prisms shown below?
Factor the expression
10x + 25
A. 2(5x + 10)
B. 5(2x + 5)
C. 10(x + 5)
D. 5(2x + 25)
Step-by-step explanation:
The correct answer is ''B. 5(2x + 5)''
Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000. What was the return on his $675,000 investment? (Negative amount should be indicated by a minus sign. Enter your answer as a percent rounded to 2 decimal places.)
The return on his $675,000 investment is 3.57%.
Given that, Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000.
We need to find the what was the return on his $675,000 investment.
What is the return on investment?Return on investment or return on costs is a ratio between net income and investment.
Now, return=700,000-675,000=$25000
Return in percentage=25000/700000×100=3.571%
=3.57%
Therefore, the return on his $675,000 investment is 3.57%.
To learn more about return on investment visit:
https://brainly.com/question/13575981.
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Solve for all values of x:
(x-3)2 = 16
• A X=-7,4
B. X= 4,1
I C. X= 7,11
D. X= 7,-1
Answer:
X= 6/D
Step-by-step explanation:
i did the math
32 ÷ 24 plese help me
Answer: 1.333
Step-by-step explanation:
Answer:
1.33
Step-by-step explanation:
nothing much to explain
I need help with this. So, please help!! You shall receive 40 points.
Answer:
p=6/5
Step-by-step explanation:
p=6/5 or 1.2 or (1 and 1/5)
Steps
Switch sides of equation
Divide both sides by 5
Simplify
Add 2 to both sides
Help me plsssssssssssssss
Hi
Answer:
1,900 i think is the answer pls dont sue me lol
Answer:
1900
Step-by-step explanation:
To the nearest hundred, so we have to look at the tens place. The tens place is 9, ninety, it's greater than 5, so we round up. therefore, 1894 rounded to the nearest hundred is 1900.
You want to buy a pet rabbit that costs $49. You already have $18 and you plan to save $9 per week. If w represents the number of weeks until you have enough money to buy the rabbit, what equation could you use to find the value of w? Use pencil and paper. Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the rabbit in six weeks.
18 + 9x = 49
with the use of an equation you can easily find out if 6 weeks of saving up is enough to get the rabbit.
18 + 9(6) [tex]\neq[/tex] 49
9 x 6 = 54
54 + 18 = 72
you could have enough money in 4 weeks
PLEASE HELP QUICK I NEED IT TO PASS. PLEASE SHOW STEPS, AND DON'T SPAM LINK PLEASE HELP. I NEED SOME HELP
Answer:
c=a2+b2=62+42≈7.2111
don't know if this is what
you are looking for but...