A thumbtack that is tossed can land point up or point down. The probability of a tack landing point up is 0.2. A simulation was conducted in which a trial consisted of tossing 5 thumbtacks and recording the number of thumbtacks that land point up. Many trials of the simulation were conducted and the results are shown in the histogram.
Based on the results of the simulation, which of the following is closest to the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed?
A 0.09
B 0.19
C 0.28
D 0.72
E 0.91
Answers
Answer:
Option C: 0.28
Step-by-step explanation:
This is a binomial probability distribution problem.
Now, we want to find the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed. This is written as;
P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)
From the histogram;
P(5) = 0.02
P(4) = 0.02
P(3) = 0.05
P(2) = 0.19
Thus;
P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02
P(X ≥ 2) = 0.28
From the histogram, it is found that there is a 0.28 = 28% probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed, option C.
------------------
The probabilities given by the histogram are:
[tex]P(X = 0) = 0.33[/tex]
[tex]P(X = 1) = 0.39[/tex]
[tex]P(X = 2) = 0.19[/tex]
[tex]P(X = 3) = 0.05[/tex]
[tex]P(X = 4) = 0.02[/tex]
[tex]P(X = 5) = 0.02[/tex]
The probability of at least 2 up is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.019 + 0.05 + 0.02 + 0.02 = 0.28[/tex]
0.28 = 28% probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed, option C.
A similar problem is given at https://brainly.com/question/24141790
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Given f(x)= x^2 -3 and g(x)= x+2/x , find (g-f)(4). Show all work.
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Answer:
-8.5Step-by-step explanation:
Given
f(x)= x^2 -3 and g(x)= x+2/xTo find
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Answer:
No
Step-by-step explanation:
No, it is not a function it would instead be a constant since the result will always be the same street address regardless of the input that is being given. With a function, a specific input is given to the function which is applied to the function itself, and output is provided based on the results generated from the input. Therefore, with a function, the input determines the output which is almost always different when different inputs get provided.
The BHS band needs to make T-shirts for its 35 members and has set aside some money in their budget to pay for them. The members of the band decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on the shirts.
Write an equation that represents the relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order. If you use a variable, specify what it represents.
2. In this situation, which quantities do you think can vary? Which might be fixed?
Answers
Answer:
C = 105 + 50x
2) variable unit = Numbe of color
Fixed unit = number of shirt
Step-by-step explanation:
Given that :
Number of members = 35
Charge per shirt = $3
Charge per color = $50
relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order
Let cost of order = C
Number of color = x
Number of Tshirt ordered = 35
Cost = (charge per shirt * number of shirts) + charge per color * number of colors)
C = (3 * 35) + ($50 * x)
C = 105 + 50x
Number of shirts to be ordered has been fixed tnd this includes it's 35 members
The number of color to be used hasn't been adopted and can thus be varied
Please help me with this
Answers
Answer:
$62.50
Step-by-step explanation: 250 divided by 4 equals $62.10
what is an equation for the translation of y=|x| left 7 units?
Answers
Answer:
y=|x+7|
Step-by-step explanation:
to move an absolute value equation to the left, all you have to do is add 7 to the inside of the absolute value:
y=|x+7|
We can check that this works, because the x-intercept moved from (0, 0) to (0, -7), meaning that the whole graph got translated 7 units to the left.
Five juniors and four seniors have applied for two open student council positions. School administrators have decided to pick the two new members randomly. What is the probability that one junior and one senior are chosen for the two positions?a. 0.395 b. 0.444 c. 0.506 d. 0569 e. 0.722
Answers
Answer:
The probability that one junior and one senior are chosen for the two positions is 0.556.
Step-by-step explanation:
The information provided is as follows:
Five juniors and four seniors have applied for two open student council positions. School administrators have decided to pick the two new members randomly.There are a total of 9 students who applied for the two open student council positions.
The total number of ways to select two students from 9 is: [tex]{9\choose 2}=\frac{9!}{(9-2)!}=36[/tex]
Compute the probability that one junior and one senior are chosen for the two positions as follows:
[tex]P(\text{1 Junior and 1 Senior})=\frac{5\times 4}{36}=0.556[/tex]
Thus, the probability that one junior and one senior are chosen for the two positions is 0.556.
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
June has 30 days, So our equation looks like this:
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Matt bought 8 pie molds at a cost of $0.67 per mold. He also bought 8 pre-
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Answer:
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Step-by-step explanation:
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Answer:
Trina is closer to the ocean because she is only 85.6 meters away from the surface, while Jessie is 87.9 meters away. 85.6 is less than 87.9, which means that Trina is closer.
Step-by-step explanation:
Sea level is represented by the number 0. -85.6 is closer to the number 0 than 87.9 is, which tells us that Trina is closer.
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Answers
Answer:
yes
Step-by-step explanation:
I figured this out by determining how many times 3 fits into 7.
7/3 is equal to 2 and 1/3
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A radio manufacturer believes that the length of life of WPPX model radio is normal with µ=12 years and σ=2.5 years. (a) What percent of the radios will function for more than 16 years? (b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X. (c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years? (d) If 10% of the radios will function for more than X years, find X.
Help, please!!
Answers
Answer:
(a) 5.48%
(b) 17.82 years
(c) 21.19%
(d) 15.21 years
Step-by-step explanation:
z = (x-μ)/σ,
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
µ=12 years and σ=2.5 years.
(a) What percent of the radios will function for more than 16 years?
For x = 16
z = 16 - 12/2.5
z = 1.6
Probability value from Z-Table:
P(x<16) = 0.9452
P(x>16) = 1 - P(x<16)
1 - 0.9452
= 0.054799
Converting to percentage = 0.054799 × 100
= 5.4799%
Approximately = 5.48%
(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.
find the z score of the 99th percentile = 2.326
Hence:z = (x-μ)/σ
2.326 = x - 12/2.5
Cross Multiply
2.326 × 2.5 = x - 12
5.815 = x - 12
x = 12 + 5.815
x = 17.815
Approximately = 17.82 years
(c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years?
When x < 10
Hence,
z = 10 - 12/2.5
z = -0.8
Probability value from Z-Table:
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Converting to percentage
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The z score would be : 100 - 10%
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Cross Multiply
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Answers
Answer:
p/4
Step-by-step explanation:
It is that because we are splitting, which is division.
So, P is the cost and 4 is how many
Simply, p/4
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Answer:
p/4
Step-by-step explanation:
This is right on oddy, hope it helps!
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Answer:
2 is the correct answer
Answer:
2 is the answer djeidiejdieoeoododos
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What is the latest time she should leave home?
Give
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Answers
Answer:
12:50
Step-by-step explanation:
15:20 - 2h= 13:20
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Answer:
12:50
Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
∠a is corresponding to ∠f
∠b is alternate interior angle to ∠e
∠g is alternate exterior to ∠d
∠f is vertical to ∠h
∠b is consecutive( same side) interior with ∠f
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Answers
Answer:
4
Step-by-step explanation:
Answer:
119.6
Step-by-step explanation:
52 × 230 over 100 = 119.6
At Nivea's Newsstand, 6 magazines cost $12.00. How many magazines could you buy with $16.00?
Answers
Answer:
You could by 8 magazines
Step-by-step explanation:
First, set up the equation 6/12=x/16
cross multiple to get 12x=96
divide both sides by 12 and x = 8
Divide 12 by 6 (cost is usually always first when dividing for unit rate). You’ll get 2.
That means, for every one magazine, it’s 2 dollars.
Now, divide 2 by 16.
Your answer should be 8!
You can purchase 8 magazines for $16 dollars!
What is the first thing you do before solving an adding fraction problem
Pls help
Answers
Answer:
The first thing you do is make the denominators equal on both sides.
Step-by-step explanation:
As a example if you have the equation:
[tex]\frac{1}{2}[/tex] + [tex]\frac{2}{5}[/tex] =
you would multiply the denominator by the smallest multiple. I would do 2 * 5= 10
this would make the equation
[tex]\frac{x}{10} + \frac{x}{10} = ...[/tex]
next you have to do the same with the numerator.
so sence you multiplied the [tex]\frac{1}{2}[/tex] by five you will get [tex]\frac{5}{10}[/tex]
same with the other fraction except you multiplied it by two.[tex]\frac{2}{5}[/tex] x 2 = [tex]\frac{4}{10}[/tex]
next you add and simplify if needed
Answer:
3 simple steps
Step-by-step explanation:
1. Make sure the bottom numbers ( the denominators ) are the same
IF DIFFERENT find the LCD
2. Add the top numbers (the numerators )
3. simplify the fraction if needed
ex: 1/4 +1/4 = 2/4 (bottoms were the same) simplify 1/2
1/3 + 1/6 LCD of 3 and 6 so make the bottom numbers 6
so multiply 1/3 x 2 = 2/6
now you have 2/6 + 1/6 = 3/6 simplify 1/2
A gardener makes a flower bed the bed is 14 in diameter calculate the circumference
Answers
Answer:
[tex]C=43.96[/tex]
Step-by-step explanation:
Circumference Formula:
C=2πr
The radius is half of the diameter...
[tex]14/2=7[/tex]
Pi is [tex]3.14[/tex]...
[tex]C=2*3.14*7[/tex]
[tex]C=43.96[/tex]
y = -4x – 5
y = 3.x – 2
Is (3, 7) a solution of the system?
Answers
Answer:
no
Step-by-step explanation:
this is because
-12-5=-17
-28-2= -30
You have found the following ages in years of 4 gorillas at your local zoo. What is the average age of the gorillas at your zoo? What is the variance? 7, 10, 15,21
Answers
Answer:
your answer is 7
Step-by-step explanation:
i may be wrong but i think that is the correct answer oh and Have a good thanksgiving everyone
Answer:
13.3 and 28.2 years
Step-by-step explanation:
from Khan academy