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
The correct option C 0.28; for the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed.
Explain the term binomial probability distribution?A popular probability distribution known as the binomial distribution simulates the likelihood of getting one of two outcomes given a set of parameters. It totals the number of trials whenever the trial has an equal chance of producing a particular result.This problem involves a binomial probability distribution.
Now that five thumbtacks have been thrown, we want to determine the likelihood that at least two of them will land pointing up. As it is written;
P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)
Based on the histogram
P(5) = 0.02
P(4) = 0.02
P(3) = 0.05
P(2) = 0.19
So,
P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02
P(X ≥ 2) = 0.28
Thus, the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed is 0.28.
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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
Related Questions
Chase is moving and must rent a truck. There is an initial charge of $35 for the rental plus a fee of $2.50 per mile driven. Make a table of values and then write an equation for C,C, in terms of m,m, representing the total cost of renting the truck if Chase were to drive m miles.
Answers
The required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.
What is the equation?Equation: A declaration that two expressions with variables or integers are equal.
In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.
A formula would be 3x - 5 = 16, for instance.
The equation would be:
C is the total cost and m is the miles driven.
We know that:
Charge of the truck: $35
Charge per mile: $2.50
Then, form the equation as follows:
C = 35 + 2.50m
Therefore, the required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.
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24.7% of the products in the local shop are specialty soaps. 76% of those soaps are made with fresh herbs. if there are 350 bars of specialty soap in the shop, approximately how many of them are not made with fresh herbs? round your answer up to nearest whole number
Answers
we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs? well, just 76% of those 350
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)
9+x/3=2
what is x in this equation?
Answers
Answer:
-21
Step-by-step explanation:
9 + x/3 = 2
x/3 = -7
x=-21
I hope this helped, and if my answer was right, please mark this as brainliest! Thank you!
A function whose graph goes down (falls) as it is followed from left to right is said to be a ____ function.
first two letters de
Answers
Decreasing
Explanation:
PLEASE HELP ME ಥ‿ಥ!!!!
Answers
Yes the answer is d
What is 12 1/2 X 4? I rlly need to know
Answers
SOLUTION
We want to solve
\(12\frac{1}{2}\times4\)To do this, change the mixed fraction into improper fraction.
We say, 2 multiplied by 12, then plus 1. We write the result as the numerator over the denominator which is 2. That is
\(\begin{gathered} 12\frac{1}{2}\text{ to improper fraction becomes } \\ 2\times12=24 \\ 24=1=25.\text{ this becomes } \\ \frac{25}{2} \end{gathered}\)We then multiply by 4, we have
\(\begin{gathered} \frac{25}{2}\times4 \\ This\text{ becomes } \\ \frac{25}{2}\times\frac{4}{1} \\ 2\text{ cancels itself is 1, and into 4, it is 2. So we have } \\ \frac{25}{1}\times\frac{2}{1} \\ =\frac{25\times2}{1\times1} \\ =\frac{50}{1} \\ =50 \end{gathered}\)Hence the answer is 50
PLEASE HELP!! will mark brilliant!!!!
Answers
Answer:
I think it is A and C if I am correct how that helps
How do you find the maximum or minimum value of a function calculator?
Answers
Finding the maximum or minimum value of a function is a fundamental concept in calculus. It helps us determine the peak or bottom values of a given function, which can be essential in many real-life applications.
To find the maximum or minimum value of a function using a calculator, you first need to input the function into the calculator. The function must be written in the correct syntax and form for the calculator to understand it.
There are different methods to find the maximum or minimum value of a function on a calculator, depending on the model and software. However, the most common way is to use the "minimum" or "maximum" functions, depending on what value you are trying to find.
To use the "maximum" or "minimum" functions, you need to enter the function, followed by the variables or ranges of the function. The calculator would then display the maximum value of the function within that range.
In summary, finding the maximum or minimum value of a function using a calculator involves inputting the function, locating the "maximum" or "minimum" function tool, and specifying the range or variables of the function. This process allows you to quickly and accurately find the peak or bottom values of a given function, which can be useful in various mathematical and scientific applications.
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find a ratio that is equivalent to 9 to 15
Answers
Answer:
18:30
Step-by-step explanation:
multiply both values by 2 to get an equivalent ratio
when you refer to the meer-kitty survey feedback tab, you are pleased to find that the available data is aligned to the business objective. however, you do some research about confidence level for this type of survey and learn that you need at least 120 unique responses for the survey results to be useful. therefore, the dataset has two limitations: first, there are only 40 responses; second, a meer-kitty superfan, user 588, completed the survey 11 times. as the survey has too few responses and numerous duplicates that are skewing results, what are your options? select all that apply.
Answers
Conduct additional surveys to increase the total number of responses.
Remove duplicates from the dataset to eliminate skewing of results
Use caution when interpreting the results and consider them exploratory rather than conclusive
Consider using a different methodology for gathering data, such as focus groups or interviews
Adjust the confidence level for the survey results to account for the smaller sample size
Use a different data analysis technique, such as bootstrapping, to account for the limitations of the dataset
Consider using a sample survey method, like stratified sampling or cluster sampling.
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If a point divides a line segment into two congruent
line segments, then the point is a midpoint. Point P
divides LH into two congruent line segments.
use the law of detachment to determine what you can conclude from the given information, if possible.
help
Answers
Answer: Point P is a midpoint
Step-by-step explanation:
The width of a window on a house is 48 inches. The house is shown in a scale drawing. The width of the window in the drawing is 20% of its actual width What is the window’s width in the drawing?
please help!
Answers
The windows width in the drawing according to the task content is; 9.6inches.
What is the windows width in the drawing?According to the task content, the window's actual width on the house is given as; 48 inches.
Hence, since, the window's width on the drawing is 20% of the actual width, it follows that;
Windows drawing width = 20% × 48 = 9.6 inches.
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someone please help and show how they got their answers
Answers
It makes a triangle, aka triangle GCF. It is a right triangle so we just need to find the hypotenuse to get GF.
a^2 + b^2 = c^2
Let’s plug in some values
(8)^2 + (15)^2 = c^2
8 is from GC and 15 is from FC
64 + 225 = c^2
289 = c^2
17 = c
GF = 17
NF:
NF is another hypotenuse but we are missing one of the legs of the triangle. We could fetch the numbers on the opposite of the square you can make
(EG and GC) and add them
8 + 16 = 24
Since the missing leg (NB) is equal to the side (AN) all we need is to divide 24 by 2
24/2 = 12.
Now let’s find the hypotenuse
(12)^2 + (5)^2 = c^2
(12 is NB and 5 is from BF)
144 + 25 = c^2
169 = c^2
13 = c
NF = 13
MG:
One again, MG is a hypotenuse and once again we are missing a leg. To get the leg we get the opposite sides (BF and FC) and subtract this total from AM
(5 + 15) - 8
20 - 8
12
Now let’s get the hypotenuse
(12)^2 + (16)^2 = c^2
(12 is from EM and 16 is from EG)
144 + 256 = c^2
400 = c^2
20 = c^2
MG = 20
ED:
ED is the final hypotenuse but now one of the legs is split up. To fix this we add the two line segment values (EG and CG)
16 + 8
24
Now let’s find the hypotenuse
(24)^2 + (7)^2 = c^2
(24 is from EC and 7 is from CD)
576 + 49 = c^2
625 = c^2
25 = c
ED = 25
*pen drop*
A recycling bin is in the shape of a right rectangular prism. The bin is 9 meters long, 5 meters wide, and 313 meters tall.
What is the volume of the recycling bin?
Answers
Answer: 14085 m^3.
Step-by-step explanation: To find the volume of a right rectangular prism, you need to multiply the length, width, and height. The equation is below:
l x w x h = V where l is the length, w is the width, h is the height, and V is the volume of the right rectangular prism.
The length of this recycling bin is 9 meters, the width is 5 meters, and the height is 313 meters. Now that we know the length, width, and height, we can substitute the variables with the information we've gathered.
9 x 5 x 313 = 14085.
Therefore, 14085 m^3 is your answer.
Have a great day! :)
write an explicit formula for an, the nth term of the sequence 24,16,8
Answers
Answer:
f(n) = 32 - 8n
Step-by-step explanation:
24, 16, 8, 0
f(n) = 24 - 8 x (n-1)
f(n) = 32 - 8n
Bracelets are on sale for 3 for $15. How much do 5 bracelets cost?
Answers
Answer:
25
Step-by-step explanation:
15 divided by 3 is 5. Meaning, each bracelet cost $5. 2 bracelets cost 10 more dollars since 5x2 is equal to $10. 15+10=25
What is the value of x
Answers
Answer: x=108
Step-by-step explanation:
First set up an equation by adding the two angles together : x+2/3x
Then you want to set this equal to 180° because a straight line measures 180°: x+2/3x=180
Simplify: 5/3x=180
Multiply but 3/5 on each side: x=108
x=108
find the derivative of y=cos^2(5x^3-2x)
Answers
Step-by-step explanation:
Use power rule and chain rule.
y = cos²(5x³ − 2x)
dy/dx = 2 cos(5x³ − 2x) (-sin(5x³ − 2x)) (15x² − 2)
dy/dx = 2 cos(5x³ − 2x) sin(5x³ − 2x) (2 − 15x²)
Use double angle formula to simplify:
dy/dx = sin(10x³ − 4x) (2 − 15x²)
math question 4:) please and thanks
Answers
Silvia has a picture from her trip to the Grand Canyon. The photo is 4 inches tall by 6 inches wide. a. She would like to make a larger photo for her wall that is as big as possible. The widest the enlarged photo can be is 48 inches. How tall will the enlarged photo be? b. Silvia also wants a wallet-sized photo to carry around and show her friends. She wants it 1.5 inches tall. How wide will it be?
Answers
a. To find the height of the enlarged photo, we can use the concept of proportional scaling. Since the width of the enlarged photo is 48 inches, we can set up the following proportion:
\(\(\frac{{\text{{Height of enlarged photo}}}}{{\text{{Width of enlarged photo}}}} = \frac{{\text{{Height of original photo}}}}{{\text{{Width of original photo}}}}\)\)
Plugging in the given values, we have:
\(\(\frac{{\text{{Height of enlarged photo}}}}{{48}} = \frac{{4}}{{6}}\)\)
Cross-multiplying, we get:
\(\(\text{{Height of enlarged photo}} = \frac{{4}}{{6}} \times 48\)\)
Simplifying, we find:
\(\(\text{{Height of enlarged photo}} = 32\) inches\)
Therefore, the enlarged photo will be 32 inches tall.
b. To find the width of the wallet-sized photo, we can use the same concept of proportional scaling. Since the height of the wallet-sized photo is 1.5 inches, we can set up the following proportion:
\(\(\frac{{\text{{Width of wallet-sized photo}}}}{{\text{{Height of wallet-sized photo}}}} = \frac{{\text{{Width of original photo}}}}{{\text{{Height of original photo}}}}\)\)
Plugging in the given values, we have:
\(\(\frac{{\text{{Width of wallet-sized photo}}}}{{1.5}} = \frac{{6}}{{4}}\)\)
Cross-multiplying, we get:
\(\(\text{{Width of wallet-sized photo}} = \frac{{6}}{{4}} \times 1.5\)\)
Simplifying, we find:
\(\(\text{{Width of wallet-sized photo}} = 2.25\) inches\)
Therefore, the wallet-sized photo will be 2.25 inches wide.
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Analyn is heating a solution in her chemistry lab.The temperature of the solution starts at 10 C. she turns on the burner and finds that the solutions temperature increases by 4 C every minute. This graph shows the temperature change.
Answers
Answer:
22,3 is the answer to the question
Answer:
It's D
Step-by-step explanation:
In ΔLMN, ∠L = 55°, ∠M = 85°, find measure of ∠N.
Answers
Answer:
40 degrees
Step-by-step explanation:
the angles of a triangle add up to 180 degrees,
180 = x + 85 + 55
180 = x + 140
40 = x
The length of a rectangle is 2 centimeters less than its width. What are the dimensions of the rectangle
if its area is 225 square centimeters?
Write the following equation is standard form.
Answers
what is the vertex of the porabola
Answers
Answer:
what is the vertex of the porabola by nagla 3by 7
How many groups of are in two hundred four-four
Answers
A gas station is charging $2.09 per GALLON of gas. What would be the price for a LITER of gas?
Answers
The price for a litre will be $0.55.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement.
Given that, A gas station is charging $2.09 per gallon of gas.
1 gallon = 3.78541 litres
1 litre = 1/3.78541 gallon
Price for 1 litre = 1/3.78541 *2.09
= $0.55
Hence, The price for a litre will be $0.55.
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A large automobile insurance company wants to test the null hypothesis that the mean age in its population of policyholders is 50, against the alternative hypothesis that it is different from 50. In a random sample of 361 policyholders, the average age is 47.2 years, and the variance is 121 (squared years). The significance level is 5%. What is the population? Letter (see multiple choices in the instructions)
Answers
tThe population in this scenario refers to the entire group of policyholders of the large automobile insurance company.
Set up the hypotheses ; Null hypothesis (H0): The mean age in the population of policyholders is 50. Alternative hypothesis (Ha): The mean age in the population of policyholders is different from 50. Determine the significance level: The significance level is given as 5%. Calculate the test statistic: The test statistic for a two-sample t-test is given by:
t = (sample mean - hypothesized mean) / (standard error)
In this case, the sample mean is 47.2, and the hypothesized mean is 50. The standard error can be calculated using the formula: standard error = sqrt(variance / sample size). In this case, the variance is 121 and the sample size is 361. Calculate the degrees of freedom: For a two-sample t-test, the degrees of freedom is calculated as the sum of the sample sizes minus 2. In this case, the sample size is 361. Determine the critical value: Since the alternative hypothesis is two-tailed (different from 50), we divide the significance level by 2 (5% / 2) to get the critical value for each tail.
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what is the 3 called in 3x + 4=7 ?
Answers
Answer:
an exponent
Step-by-step explanation: hope this helps :)
Answer:
The three in the equation is called 3
Step-by-step explanation:
use trigonometric identities to find general solutions of the equation.
y'' + 9y = sin^4x
The general solution is y(x) = ....
Answers
The general solution to the given differential equation y'' + 9y = sin^4x can be expressed as y(x) = Asin(3x) + Bcos(3x) - (1/192)*(3x + sin(6x)), where A and B are arbitrary constants.
Explanation:
To find the general solution, we can start by considering the homogeneous equation y'' + 9y = 0, which has the characteristic equation r^2 + 9 = 0. Solving this equation, we get the roots r = 3i and -3i. Therefore, the homogeneous solution is y_h(x) = Asin(3x) + Bcos(3x), where A and B are constants.
Next, we need to find a particular solution to the non-homogeneous equation y'' + 9y = sin^4x. Since the right-hand side contains a trigonometric function, we can use the method of undetermined coefficients and assume a particular solution of the form y_p(x) = C*(3x + sin(6x)), where C is a constant to be determined.
Taking the derivatives and substituting into the differential equation, we find that C = -1/192. Therefore, the particular solution is y_p(x) = -(1/192)*(3x + sin(6x)).
Finally, the general solution is obtained by combining the homogeneous and particular solutions: y(x) = y_h(x) + y_p(x) = Asin(3x) + Bcos(3x) - (1/192)*(3x + sin(6x)), where A and B are arbitrary constants.
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The ______ is the measure of the chance that the event will occur as a result of and experiment. mutually exclusive probability of an event complement of event a relative frequency
Answers
The probability is the measure of the chance that the event will occur as a result of and experiment. Mutually exclusive probability of an event complement of event a relative frequency.
What kind of probability is founded on the observed data?
Empirically (or experimentally), the probability of an event occurring is a "estimate" based on how frequently the event occurred after collecting data from an experiment in a significant number of trials. These probabilities are based on real-world data.What three forms of probability are there?
Three main categories of probability exist:
Probability in theory. Scientific Probability. Probability axiomatically.
Probability refers to the possibility that a specific occurrence will occur. Probability is the proportion of the number of likely outcomes to the total number of outcomes of an event.
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