The probability that the experiment results in 6 or more successes is 0.7437.
To find the probability of 6 or more successes in a binomial experiment with probability of success = 0.64 and n=8 trials, we need to use the binomial probability formula:
P(X ≥ 6) = P(X=6) + P(X=7) + P(X=8)
where X is the number of successes in the 8 trials.
Using the binomial probability formula, we can calculate each of these probabilities:
P(X=6) = (8 choose 6) * 0.64^6 * 0.36^2 = 0.2546
P(X=7) = (8 choose 7) * 0.64^7 * 0.36^1 = 0.3213
P(X=8) = (8 choose 8) * 0.64^8 * 0.36^0 = 0.1678
Now, we can add these probabilities to get the probability of 6 or more successes:
P(X ≥ 6) = 0.2546 + 0.3213 + 0.1678 = 0.7437
Therefore, the probability that the experiment in 6 or more successes is 0.7437.
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what is the factors for 18 and 49
Answer:
Factors for 18: 1, 2, 3, 6, 9, and 18. Factors for 49: 1, 7, and 49.
Step-by-step explanation:
Answer:
Step-by-step explanation:
First things first put them under a square root sign
Second think about what squared can go into that number
Third if there’s a number that can go into it and there’s leftover numbers like if your square rooting 18 you’ll take the number put them under the square root and take whatever can be squared like the 9 and turn it into is squared counter part the three so it’ll look like (is shown in the picture equation below).
And that’s kind of how you do it but if this doesn’t help I’ve used this video before and it might it’s called Finding Factors - Video Lesson for Kids (4.OA.4).
(I know it’s a kid video but it’s simple and works well fair warning it’s a little long).
A random sample of 12 four-year-old red pine trees was selected and the diameter (in inches) of each tree's main stem was measured.
The resulting observations are as follows: 11.3, 10.7, 12.4, 15.2, 10.1, 12.1, 16.2, 10.5, 11.4, 11.0, 10.7, and 12.0
Find the point estimate that can be used to estimate the true population mean.
s = 3.24
X= 11.97
X= 1.73
S = 14.02
The point estimate that can be used to estimate the true mean population is 11.97 inches.
To find the point estimate that can be used to estimate the true population mean, we need to take the sample mean of the given observations. The formula for the sample mean is:
Mod(X)= (Σx) / n
where Mod(X) is the sample mean, Σx is the sum of all the observations, and n is the size.
Using the given observations, we can calculate the sample mean as follows:
Mod(X) = (11.3 + 10.7 + 12.4 + 15.2 + 10.1 + 12.1 + 16.2 + 10.5 + 11.4 + 11.0 + 10.7 + 12.0) / 12
Mod(X) = 11.97
Therefore, the point estimate that can be used to estimate the true mean population is 11.97 inches.
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find the derivative of f(x)=-3x^2+5
Answer:\(-3^{x} In (3)\)
Step-by-step explanation:
If Sarah walks 5 miles in 50 minutes, then Sarah will walk how far in 80 minutes if she walks at the same speed the whole time? If necessary, round your answer to the nearest tenth of a mile.
Answer:
Sarah will walk 8 miles.
Hope this helps :D
Step-by-step explanation:
Which angles are coterminal with
An angle 19pi/36
with a measure of radiants ?
The coterminal angles with an angle of 19π/36 are of the form 19π/36 + 2πn or 19π/36 - 2πn, where n is an integer.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles, as well as the properties and behavior of trigonometric functions such as sine, cosine, tangent, cotangent, secant, and cosecant.
Coterminal angles are angles that have the same initial and terminal sides in the coordinate plane. They differ by a multiple of 2π (or 360 degrees) and have the same reference angle.
To find coterminal angles with an angle of 19π/36, you can add or subtract a multiple of 2π from 19π/36 to obtain angles that are coterminal.
Adding a multiple of 2π:
19π/36 + 2πn (where n is an integer)
Subtracting a multiple of 2π:
19π/36 - 2πn (where n is an integer)
Hence, the coterminal angles with an angle of 19π/36 are of the form 19π/36 + 2πn or 19π/36 - 2πn, where n is an integer.
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In a smoothie the ratio of ounces of blueberries to ounces of yogurt is 4 to 5.
How many ounces of yogurt would be needed for a smoothie with 10 ounces of blueberries?
Step-by-step explanation:
the answer is 12.5 sorry if i am wrong
X-3 5X-3X-12-4x + 18X-7
Answer:
Algebraic Expressions- An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc. For example, let us have a look at the expression 2x + 4. Thus, we can say that 2x + 4 is an example of an algebraic expression.
Here are more examples:
• 5x + 4y + 10
• 2x2y - 3xy2
• (-a + 4b)2 + 6ab
To simplify an algebraic expression, we just combine the like terms. Hence, the like variables will be combined together. Now, out of the like variables, the same powers will be combined together
Multiply the numbers
x - 3 . 5x – 3x -12 - 4x + 18x - 7
= x – 15x - 3x – 12 – 4x + 18x – 7
Subtract the numbers
= x – 15x – 3x – 12 – 4x + 18x - 7
= x – 15x – 3x – 19 - 4x + 18x
Combining the like terms
= - 2x – 19
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Can someone help with this please.
can someone help me plz
Answer: 170
Step-by-step explanation:
t r is 90 and 82 and it = 172 just round that and you have 170
△DXH≅△LSC Drag the answers into the boxes to match each part of △DXH with the corresponding part of △LSC
If the two triangles are congruent, then the following match is correct:
measurement D = measurement R
measurement E = measurement S
F measure Equals T measure
Side DE is the same as Side RS.
Side EF is the same as Side ST.
DF side equals RT side
What is congruency?Two figures are considered to be 'congruent' if they can be put exactly over each other. When you set one slice of bread on top of the other, you'll see that they're both the same shape and size. The phrase "congruent" refers to having exactly the same form and dimension.
Here,
If the two triangles are congruent, then the following match:
measure D = measure R
measure E = measure S
measure F = measure T
Side DE equal to side RS
Side EF equal to side ST
Side DF equal to side RT
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Please help me to solve the question!
Answer: (x - 3)² + (y + 0.5)² = 3.25 → \((x-3)^2+\bigg(y+\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}\)
Step-by-step explanation:
Concentric means they have the same center but different radii.
The equation of a circle is: (x - h)² + (y - k)² = r² where
(h, k) is the center of the circler is the radius of the circleComplete the square to find the center of the circle
x² - 6x + _____ + y² + y + _____ = 1 + ____ + ____
↓ ↓
-6/2 = -3 1/2 = 1/2
Equation: (x - 3)² + (y + 1/2)² = r²
Since the circle passes through point (x, y) = (4, -2), input that into the equation to find r².
(x - 3)² + (y + 1/2)² = r²
(4 - 3)² + (-2 + 1/2)² = r²
(1)² + (-3/2)² = r²
1 + 9/4 = r²
13/4 = r²
Equation: (x - 3)² + (y + 1/2)² = 13/4 → \((x-3)^2+\bigg(y-\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}\)
In decimal form: (x - 3)² + (y + 0.5)² = 3.25
Which of these is a characteristic of certificates of deposit (CDs)? O They are always offered at variable rates They last for a set period of time They can be opened with any amount of money O They allow access to the money at any time without penalty
The characteristic of certificates of deposit (CDs) is that it last for a set period of time and is denoted as option B.
What is Certificate of deposit?This is also referred to as time deposit and is characterized by a lump sum being saved at a fixed period of time and is stricter than the normal savings system.
This type of savings has a fixed interest rate and can't be withdrawn before the maturity date unlike savings account which can be accessed at any point in time which makes it unique and is therefore the most appropriate choice.
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The information in the table was compiled from a survey of state park users’ Participation in various outdoor activities.Note that the table is in thousands. If a number on the table is 5.2,that means 5,200 people.
According to the information, the group of people over 60 who use the camping is 28.1% (option C).
How to find what percentage corresponds to the group of people over 60 who used the park campsite?To find the percentage that corresponds to the group of people over 60 years of age who used the park camping, we must consider the total number of people 60 years of age or older who were included in the survey. In this case we can infer that there were 21,000 people. On the other hand, the group that used the camping was 5,900. So the percentage would be:
5,900 * 100 / 21,000 = 28.09Based on the above, we can infer that the correct answer is B.
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6c=2(3c-4)+2c
what is the step by step solution to this equation
i'll do it step-by-step here. if there's any step that doesn't make sense, feel free to let me know!
6c = 2(3c-4) + 2c
distribute the 2 among the terms in the parentheses first.
6c = 6c - 8 + 2c
because both sides have 6c, we can cancel them out. 6c - 6c = 0.
0 = -8 + 2c
move the 8 to the other side (+8 to both sides).
8 = 2c
divide both sides by 2.
8/2 = c
therefore, 4 = c.
hope i helped! good luck.
Which equations represent a line that passes through
the points given in the table? Check all that apply.
O y -2=-6(x + 10)
O y - 2 = -1(x+ 10)
O y - 1=-1(x + 4)
O y = -6x - 58
Ov--4x+}
O y =-1x+ 5
A table must be provided with the points to help in determining which equations represent a line that passes through the points in the table.
To determine which equations represent a line that passes through the points given in the table, we need to verify if the points from the table satisfy the equations. Since you did not provide the table, I will explain the general method to check this.
1. For each point (x, y) in the table, substitute the x and y values into each equation.
2. Check if the left side of the equation equals the right side of the equation after substitution.
3. If the point satisfies the equation, it means that the line represented by the equation passes through that point.
4. Repeat this process for all the points in the table and for each equation.
5. Identify the equations for which all the points in the table satisfy the equation.
Please provide the table with the points, and I will help you determine which equations represent a line that passes through the points in the table.
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Write a equation (subtraction) that equals 2/5
Answer:
1 - 3/5 = 2/5
Step-by-step explanation:
Answer:
1 3/5 - 1 1/5
Step-by-step explanation:
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
c) 25 cm^2
d) 52.5 cm^2
Step-by-step explanation:
5*2 = 1
10/2 = 5
40/2 = 20
20+5 = 25
This is just scratch work^
lizzy asked 57 randomly selected starbucks patrons if they enjoy playing board games. 32 said they do. does the data suggest that the majority (more than 50%) of starbucks patrons enjoy playing board games? write a full hypothesis test using phantoms.
We conclude that based on the sample data collected by Lizzy, we cannot say with confidence that the proportion of Starbucks patrons who enjoy playing board games is greater than 50%.
To answer this question, we need to perform a hypothesis test using phantoms.
Null Hypothesis: The proportion of Starbucks patrons who enjoy playing board games is equal to 50% or less (p ≤ 0.50)
Alternative Hypothesis: The proportion of Starbucks patrons who enjoy playing board games is greater than 50% (p > 0.50)
We can use a one-sample proportion z-test to test this hypothesis. First, we need to calculate the sample proportion:
p-hat = 32/57 = 0.56
Next, we need to calculate the standard error of the sample proportion:
SE = sqrt(p-hat * (1 - p-hat) / n) = sqrt(0.56 * 0.44 / 57) = 0.094
Then, we can calculate the test statistic:
z = (p-hat - p) / SE = (0.56 - 0.50) / 0.094 = 0.64
Using a significance level of 0.05, we find the critical z-value to be 1.645 (for a one-tailed test).
Since our test statistic (0.64) is less than the critical value (1.645), we fail to reject the null hypothesis. There is not enough evidence to suggest that the majority of Starbucks patrons enjoy playing board games.
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A lawyer willed his 3 sons Rs 250000 to be divided into portions 30%, 45% and 25%. How much did each of them inherit?
Answer:
75000, 112500, 62500
Step-by-step explanation:
To find 1% of 250000:
1/100 x 250000 = 2500 (1% of total)
Son 1: 30x2500 = 75000 (30% of lawyers money)
Son 2: 45x2500 = 112500 (45% of lawyers money)
Son 3: 25x2500 = 62500 (25% of lawyers money)
-1/4n-7<5
Answers:
-48
-20
0
20
48
Answer: -1/4n-7<5 = -48
A large population has mean 100 and standard deviation 16. What is the probability that the sample mean will be within plusminus 2 of the population mean if the sample size is n = 100? What is the probability that the sample mean will be within plusminus 2 of the population mean if the sample size is n = 400? What is the advantage of a larger sample size?
The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.
The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:
Standard Error = Standard Deviation / sqrt(sample size)
Let's determine the likelihoods for sample sizes of n = 100 and n = 400:
For n = 100:
Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6
We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:
Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error
Lower Bound z-score = (100 - 100) / 1.6
Lower Bound z-score = 0
Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error
Upper Bound z-score = (104 - 100) / 1.6
Upper Bound z-score = 4 / 1.6
Upper Bound z-score = 2.5
We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.
For n = 400:
Standard Error = 16/√400
Standard Error = 16/20
Standard Error = 0.8
We determine the z-scores by following the same procedure as above:
Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error
Lower Bound z-score = (100 - 100) / 0.8
Lower Bound z-score = 0
Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error
Upper Bound z-score = (104 - 100) / 0.8
Upper Bound z-score = 4 / 0.8
Upper Bound z-score = 5
Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.
A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.
As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.
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you live in state college, where buses always arrive exactly on time, with the time between successive buses fixed at 10 minutes. having lost your watch, you arrive at the bus stop at a random time (assume that buses run 24 hours a day, and that the time that you arrive is uniformly random on a particular day). (a) (3 pts) what is the distribution of how long you have to wait for the next bus? what is the average time that you have to wait
The distribution of a continuous uniform is f(x) = 1/10
The average time that he has to wait is E[X] = 5
What is continuous uniform distribution?
The continuous uniform distribution is the probability distribution of random number selection from the continuous interval between a and b.
f(x) = 1/(b-a) is the formula of continuous uniform distribution.
What is average?
an average of a list of data is the expression of the central value of a set of data. Mathematically, it is defined as the ratio of summation of all the data to the number of units present in the list. In terms of statistics, the average of a given set of numerical data is also called mean.
A) Given, the time between the successive buses is fixed and that is 10 minutes.
Therefore, the distribution is
The buses arrive always on time every 10' thus the distribution is uniform in [0;10] The density of a continuous uniform is
()=1/−=1/10−0=110
B) Its expectation ( the average time he has to wait) is
()=+/2=0+10/2=5.
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Somebody help!!!!!!!!!
consider the infinite geometric series: what is a1? what is r? find the following partial sums: s2
An infinite geometric series is one in which each term is equal to the preceding term multiplied by a fixed non-zero number, known as the common ratio.
The first term is called a1, and the common ratio is represented by r.In this particular question, we are required to find the value of a1 and r for an infinite geometric series. The partial sum S2 will also need to be found.For a geometric sequence that is infinite, the formula for the partial sum, Sn, is:Sn = a1 / (1-r), where a1 is the first term and r is the common ratio.To solve for a1, it is necessary to know two other variables: the common ratio r and the value of the first term a1. S2 is the sum of the first two terms, so: S2 = a1 + arTo find S2, we must first determine a1 and r. a1 is the first term in the sequence, and r is the common ratio. We can obtain both a1 and r by dividing the second term by the first term.The formula is:r = (ar/a1) = a2/a1 Substitute the value of r and a1 into the formula for S2 to obtain the result: S2 = a1 + ar = a1 + a1r = a1(1+r) Therefore, the value of a1 is a constant number that will appear in the series, and the common ratio, r, will be multiplied by this number to obtain the next value in the series.
So, a1 is the first term, and r is the common ratio of the infinite geometric series. S2, the sum of the first two terms, is found by using the formula S2 = a1 + ar where a1 is the first term and r is the common ratio.
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Evaluate the series. What is the sum?
23(4)*-*
1
DONE
Which shows the terms of the series?
4 + 12 +48 + 192
X 4 + 12 + 36
3 + 12 +48 + 192
O 3 + 12 +48
Answer:
255
Step-by-step explanation:
The summation value of the term in the series will be equal to
3 + 12 +48 + 192 after calculation.
Here, we have,
We know that, summation:
In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.
Now we have a given term
∑(n = 1 to 4) 3(4)^n-1
By solving the above term;
∑(n = 1 to 4) 3(4)^n-1
=3 + 12 +48 + 192
Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.
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Which mathematical operator is used to raise 5 to the second power in python? ^ / ** ~
In Python, the double asterisk (**) operator is used for exponentiation or raising a number to a power.
When you write 5 ** 2, it means "5 raised to the power of 2", which is equivalent to 5 multiplied by itself.
The base number is 5, and the exponent is 2.
The double asterisk operator (**) indicates exponentiation.
The number 5 is multiplied by itself 2 times: 5 * 5.
The result of the expression is 25.
So, 5 ** 2 evaluates to 25.
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This is rlly hard i need help both pls
Answer:
length times hight times whith
Answer:
Area = width×length
Step-by-step explanation:
i.hope this helps
A 95% confidence interval for the proportion of viewers of a certain reality television show who are over age 30 is (0.26, 0.35). The show's producers want to test the hypothesis H.: p=0.25 against H:p=0.25. Which of the following is an appropriate conclusion for them to draw? (a) Reject H, at both a = 0.01 and a =0.05. (6) Reject H, at a=0.05. (c) Fail to reject H, at a=0.05 but reject at a =0.01. (d) Reject H, at a=0.10, fail to reject for any smaller a level. (e) The producers do not have enough information to perform a test of significance.
The null hypothesis can be rejected at α = 0.01 but not at α = 0.05 level of significance. Hence the correct option is option (c)Fail to reject H, at a=0.05 but reject at a =0.01.
A 95% confidence interval for the proportion of viewers of a certain reality television show who are over age 30 is (0.26, 0.35). The show's producers want to test the hypothesis H.: p=0.25 against H:p=0.25. The appropriate conclusion that the producers can draw is that they can fail to reject H, at a=0.05 but reject at a =0.01.
Hypothesis testing is a systematic procedure for selecting the best feasible hypothesis for a particular set of data. It is a decision-making method for statistical hypothesis testing of the validity of a statement regarding a population parameter.
The following are the hypothesis statements of the problem:
Hypothesis H0: p = 0.25 (Null Hypothesis)Hypothesis Ha: p ≠ 0.25 (Alternative Hypothesis)Hypothesis testing at α = 0.05 level of significance can be performed using the following formula:
Z= (p - Po) / [Po (1 - Po)/ n]Where, Po = 0.25p = (0.26+0.35)/2 = 0.305n = (Zα/2/ E)^2 = (1.96 / 0.04)^2 = 240.1Z = (0.305 - 0.25) / [0.25 (1 - 0.25)/ 240.1] = 3.18For a two-tailed test at α = 0.05, the Z critical values are Zα/2 = ±1.96.The Z value calculated (3.18) is greater than Z critical value (1.96).
Therefore, the null hypothesis can be rejected at α = 0.01 but not at α = 0.05 level of significance. Hence the correct option is option (c)Fail to reject H, at a=0.05 but reject at a =0.01.
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How measures of central tendency and measures of dispersion are complementary to each other while describing and analysis a given set of data
The measures of central tendency and measures of dispersion are complementary to each other and provide a complete description of the data distribution.
Measures of central tendency and measures of dispersion are complementary to each other while describing and analyzing a given set of data. Measures of central tendency describe the central location of the data distribution, whereas measures of dispersion describe the degree of variability in the data distribution. The measures of central tendency are the mean, median, and mode, which provide an indication of the location of the center of the data.
On the other hand, measures of dispersion include the range, variance, standard deviation, and interquartile range, which provide an indication of the spread of the data from the center. Measures of central tendency and measures of dispersion work together to give a complete description of the data distribution.
If we only describe the central tendency of the data, we would miss out on important information about the variability of the data.
Likewise, if we only describe the dispersion of the data, we would miss out on information about the location of the center of the data distribution.
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Consider equation (1) again, ln (wage) = β0 + β1 educ + β2 exper + β3 married + β4 black + β5 south + β6 urban +u
(a) Explain why the variable educ might be endogenous. How does this affect the estimated coefficients? Does the endogeneity of educ only affect the estimate of β2 or does it affect the coefficients associated with other variables?
(b) The variable brthord is birth order (one for the first-born child, two for a second-born child and so on). Explain why brthord could be used as an instrument for educ in equation (1). That is, does this variable satisfy the relevance and exogeneity conditions for it to be an appropriate instrument?
(a) The variable educ might be endogenous
(b) The variable brthord is birth order (one for the first-born child, two for a second-born child and so on) could be used as an instrument for educ in equation
a) The variable instruction might be endogenous because as compensation increases the income expansions which additionally make able to an individual more educating himself. So there is an opportunity for the instruction might be an endogenous variable.
The indigeneity may involve the 32 the coefficient of knowledge as well different variables like married, black, south, urban, etc.
b) There is a substantial high relationship exists between birth order and the status of teaching. it is more possible to have higher schooling with less the order of child-born and the birth order is autonomous of the error term as well with wage. So the variable "birth order" is a good variable to use as an agency for the endogenous variable instruction.
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