Out of 500 fruits bought in a market.it is known from experience that 12 will be bad.what is the probability that a fruit picked from the lot will be good

Answer:

I guess you should put the points B and D opposite to eachother with 180 degree between them so that it the line segment BD pass through the center to make 2 radii which is a diameter

Probability of neither threaded nor flanged widget (complement):

P(neither T nor F) = 1 - P(T or F)

To find the probability using formulas, we can apply the principles of probability. Let's denote the events as follows:

T: Widget is threaded

F: Widget is flanged

We are given:

P(T) = 7/12 (probability of threaded widget)

P(F) = 5/8 (probability of flanged widget)

P(T and F) = 2/9 (probability of widget being both threaded and flanged)

Using the formulas for probability, we can find:

Probability of either threaded or flanged widget (union):

P(T or F) = P(T) + P(F) - P(T and F)

= 7/12 + 5/8 - 2/9

Probability of neither threaded nor flanged widget (complement):

P(neither T nor F) = 1 - P(T or F)

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Answer:

y = 4x + 8

Step-by-step explanation:

A linear formula always follows by y = mx + c, where m is the gradient and c is the y-intercept or constant.

Since you know that the slope is 4, all you need to do is find the y-intercept (constant)

y = 4x + c

Sub in the points (-4, -8)

-8 = 4(-4) + c

-8 + 16 = c

c = 8

Hence, y = 4x + 8

Number of students that selected the elective subject of religion in 2014 is 1344

The problem tells us that in 2013, there were 1400 students who selected the elective subject of religion.

Then, in 2014, this figure decreased by 4%. This means that the new figure in 2014 will be 4 percentage less than the figure in 2013.

To calculate what 4% of 1400 is, we need to multiply 1400 by 4/100, which gives us 56. So, 56 students did not select the elective subject of religion in 2014 compared to 2013.

So, the number of students who selected the elective subject of religion in 2014 is

= 1400 - 56

= 1344

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Ans 1) 260

Ans 2) 0.032 (rounded to 3 decimal places).

Ans3) 0.9977 (rounded to 4 decimal places).

solution 1) We select a random sample of 400 freshmen from across the nation. The formula to calculate the expected value of the sampling distribution model for the proportion of 400 freshmen that will return to the same school for their sophomore year is :

Expected value of the sampling distribution model = Mean = np = 400 × 0.65 = 260.

Hence, the expected value of the sampling distribution model for the proportion of 400 freshmen that will return to the same school for their sophomore year is 260.

Solution 2) The formula to calculate the standard deviation of the sampling distribution model for the proportion of 400 freshmen that will return to the same school for their sophomore year is:

Standard deviation = sqrt [ (p * q) / n ] Where p is the proportion of successes in the population, q = 1 - p, and n is the sample size.

Substitute the values :Standard deviation = sqrt [(0.65 × 0.35) / 400] = 0.032. Hence, the standard deviation of the sampling distribution model for the proportion of 400 freshmen that will return to the same school for their sophomore year is 0.032 (rounded to 3 decimal places).

Solution 3) The formula to calculate the probability that the proportion of these 400 freshmen that return to the same school for their sophomore year is less than 0.74 is :

z = (x - μ) / σz = (0.74 - 0.65) / 0.032z = 2.813P(x < 0.74) = P(z < 2.813). By consulting the Z-table, the value is 0.9977Hence, the probability that the proportion of these 400 freshmen that return to the same school for their sophomore year is less than 0.74 is 0.9977 (rounded to 4 decimal places).

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Answer: You have to use a calculator

Step-by-step explanation:

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Answer:

56.55 or 18pi

Step-by-step explanation:

Pi time radius squared divided by two

la respuesta para la ecuación es -5

Answer: The midpoint of the line segment with endpoints (5, 1) and (2, -3) is (3.5, -1).

Step-by-step explanation:

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are:

((x1 + x2) / 2, (y1 + y2) / 2)

In this case, (x1, y1) = (5, 1) and (x2, y2) = (2, -3). Substituting these values into the formula, we get:

((5 + 2) / 2, (1 - 3) / 2) = (3.5, -1)

Therefore, the midpoint of the line segment with endpoints (5, 1) and (2, -3) is (3.5, -1). The correct answer is A. (3.5, -1).

The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

The value of 6x is 102.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x=51/3

For 6x put x= 51/3 we get

6x = 6 x 51/3

6x = 2 x 51

6x = 102

Or, \(x^6\) = \((51/3)^6\)

\(x^6\) = 17,596,287,801 / 531,441

Hence, the value of 6x = 102.

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8w + 4 > 12

       -4    -4

8w > 8

/         /

8        8

w > 1

W is anything less than 1.

8w + 4 > 12

      - 4   - 4        subtract -4 to both sides.

_________

\(\frac{8w}{8}\) > \(\frac{8}{8}\)      divide 8 to both sides, 8's will cancel on the left side.

\(w\) > \(1\)

There is nothing inherently wrong with any of the statements in question 21. Sampling rate and sound frequency both use hertz (Hz) as their unit of measurement.

The sample rate is a setting that can be adjusted during the digitization process, as is the sound frequency. It is also true that a higher sampling rate does not necessarily result in a higher pitch.

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It can be deduced as the final answer that about 45.23% of the time headways are less than 6 seconds and about 4.06% of the time headways are 10 seconds or greater.


Using the Poisson distribution with the mean rate λ, we can solve for the probability of no cars arriving in 20 seconds, which is:

P(X = 0) = e^(-λ) = 18/120

Solving for λ, we get:

λ = -ln(18/120) = 0.6052

Then we can use the Poisson distribution again to solve for the probability of exactly three cars arriving in 20 seconds, which is:

P(X = 3) = (λ^3 / 3!) * e^(-λ) ≈ 0.1097

Finally, we can multiply this probability by the total number of 20-second intervals to estimate the number of intervals in which exactly three cars arrive:

0.1097 * 120 ≈ 13.16

Therefore, we can approximate that 13 of the 120 intervals will have exactly three cars arrive.

The headway between vehicles is the time gap between the arrivals of two consecutive vehicles. We can estimate the percentage of time headways that are 10 seconds or greater and those that are less than 6 seconds by using the exponential distribution with the same mean rate λ as in problem 5.9.

For a headway X, the probability density function of the exponential distribution is given by:

f(x) = λ * e^(-λx)

Therefore, the probability of a headway being less than 6 seconds is:

P(X < 6) = ∫[0,6] λ * e^(-λx) dx = 1 - e^(-6λ)

Similarly, the probability of a headway being 10 seconds or greater is:

P(X ≥ 10) = ∫[10,∞) λ * e^(-λx) dx = e^(-10λ)

Using the value of λ obtained in problem 5.9, we can estimate these probabilities as:

P(X < 6) ≈ 0.4523 or 45.23%

P(X ≥ 10) ≈ 0.0406 or 4.06%

Therefore, we estimate that about 45.23% of the time headways are less than 6 seconds and about 4.06% of the time headways are 10 seconds or greater.

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Answer:

He ate 40% of it

Step-by-step explanation:

20/50 is 2/5, which is basically 4/10 therefore equaling 40%

1. I based my decision on allocating points to maximize my own score, while also considering the potential benefits of contributing to the group fund.

2. The best outcome for me would be allocating the minimum points required to the GIVE account, while putting the majority in the KEEP account. This would ensure I receive the most points for myself.

3. The best outcome for the group would be if both participants maximized their contributions to the GIVE account. This would create the largest group fund, resulting in the most redistributed points and highest average score.

4. There are parallels with risk management strategies. Individuals may act in their own self-interest, but a larger group benefit could be achieved if more participants contributed to "group" risk management strategies like vaccination, safety protocols, insurance policies, etc. However, some individuals may free ride on others' contributions while benefiting from the overall results. Incentivizing group participation can help align individual and group interests.

Answer:

-3

Step-by-step explanation:

Answer:

G = -3

Step-by-step explanation:

5 + (4 x -3) +8 = 1

5+ -12 +8=1

-7 + 8 = 1

(a)The probability that the selected individual owns shares in the balanced fund is 8%, that is 0.08.

(b)The probability that the selected individual owns shares in a bond fund is 26%.

(c)The probability that the selected individual does not own shares in a stock fund is 57%.

(a) A probability is a number that indicates how likely an event is to occur. In this case, the event is the selected individual owning shares in the balanced fund. The percentage of customers who own shares in the balanced fund is given as 8%. This means that if 100 customers own shares in just one fund, 8 of them would own shares in the balanced fund.

(b) To find the probability that the individual owns shares in a bond fund, we need to add up the percentages of customers who own shares in each of the bond funds:

Short bond: 14%

Intermediate bond: 7%

Long bond: 5%

Total bond funds: 14% + 7% + 5% = 26%

So, the probability that the selected individual owns shares in a bond fund is 26%.

(c) To find the probability that the selected individual does not own shares in a stock fund, we need to find the complement of the probability that the individual owns shares in a stock fund. The probability that the individual owns shares in a stock fund is the sum of the percentages of customers who own shares in each of the stock funds:

Moderate-risk stock: 25%

High-risk stock: 18%

Total stock funds: 25% + 18% = 43%

So, the probability that the selected individual does not own shares in a stock fund is 1 - 43% = 57%.

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--The question is incomplete, answering to the question below--

"A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows.

Money-market 23%

High-risk stock 18%

Short bond 14%

Moderate-risk stock 25%

Intermediate bond    7%

Balanced 8%

Long bond 5%  

A customer who owns shares in just one fund is randomly selected.

(a)What is the probability that the selected individual owns shares in the balanced fund?

(b) What is the probability that the individual owns shares in a bond fund?

(c) What is the probability that the selected individual does not own shares in a stock fund?"

The number of significant digits the product should have = 2

The given numbers are:

\(4.5160 \times 10^{-3}\\ 2.09 \times 10^7\\ 5.8 \times 10^3\)

We first multiply them.

\(4.5160 \times 10^{-3}\times 2.09 \times 10^7\times 5.8 \times 10^3 = 54.743\times10^7\)

In measurement problems, we usually write it as \(5.474\times10^7\)

Significant digits are the numbers which decide the precision and accuracy in measurement problems.

The fewest number of significant digits in each factor of multiplication is considered as the significant digits of the product.

So number of significant digits in \(4.5160\times10^{-3}\) = 5

Number significant digits in \(2.09\times10^7\) = 3

Number of significant digits in \(5.8\times10^3\) = 2

So the product should be rounded into 2 significant digits.

So the product,  \(5.474\times10^7\)= \(5.5\times10^7\) with 2 significant figures.

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The explicit formula for f^-1 is (x-3)^(1/4) and this is obtained by switching the roles of x and y and solving for y in terms of x.

To find the inverse function of f(x)=x^4+3, we need to switch the roles of x and y, and solve for y.
Let y = x^4+3
Subtract 3 from both sides to get:
y - 3 = x^4
Take the fourth root of both sides to isolate x:
(x^4)^(1/4) = (y-3)^(1/4)
Simplify:
x = (y-3)^(1/4)
So the inverse function of f(x) is:
f^-1 (x) = (x-3)^(1/4)
This is the explicit formula for the inverse function of f(x).
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In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.

The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.

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Answer:

D

Step-by-step explanation:

Split the shape into 2 figures.

I would split it so that there is a square and a larger rectangle.

Find the dimensions.

Square = 1 x 1

Rectangle= 4 x 3

Add the areas!

1+12

13!

Answer:

A^figure = 13ft

Step-by-step explanation:

A^figure = A^square + A^rectangle

A^figure = bh + bh

A^figure = 1 x 1 + 4 x 3

A^figure = 1 + 12

A^figure = 13ft

No, it is not necessarily true that both ABT and ATB are defined for matrices A and B of size m × n.

In order for the matrix product ABT to be defined, the number of columns in A (which is n) must be equal to the number of columns in BT (which is also n). This means that the number of rows in B (which is m) must be equal to the number of rows in A (which is also m). So, if A and B are both square matrices of size n × n, then ABT is defined

On the other hand, in order for the matrix product ATB to be defined, the number of columns in AT (which is m) must be equal to the number of columns in B (which is also n). This means that the number of rows in A (which is m) must be equal to the number of rows in B (which is also m). So, if A and B are both square matrices of size m × m, then ATB is defined.

However, if A and B are not square matrices, then it is possible that only one of ABT or ATB is defined, or neither of them are defined. In general, the product of two matrices is only defined if the number of columns in the first matrix is equal to the number of rows in the second matrix.

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Answer:

x^2               -2x              +5

Step-by-step explanation:

x^2               -2x              +5

           ----------------------------------------------------------

2x + 5  /    2x^3      +     x^2       +    0x         + 25

              -(2x^3      +   5x^2)

             ----------------------------

                                   -4x^2       +    0x        

                                 -( -4x^2      -    10x )

                                  -----------------------------------------

                                                          10x           + 25

                                                        -(10x            + 25)

                                                        ---------------------------

                                                                                  0

The desired quotient is x^2               -2x              +5

Answer:Factor the polynomial

3(a−4b)2

Answer:

5 to 8, 5/8 as a fraction, 5:8

Step-by-step explanation:

ratios can be written in word form, fractions, and like 5:8.

Answer:

5:8

5/8

5 to 8

Step-by-step explanation:

These are the three ways to correctly write a ratio. It's important to keep it in order - instead of 8/5 or 8:5 - do 5:8 or 5/8

For example:

The ratio of dogs to cats is 5:8

-kiniwih426

Answer:

B.

Step-by-step explanation:

They both have the same solution because both end up having

=> 8x = 500

Which is further simplified into

=> x = 50

Answer: 3/2

Step-by-step explanation:

To find the slope of the line that passes through the points (2, 1) and (0, -2), we can use the formula:

m = (y2 - y1) / (x2 - x1)

where:

m = slope of the line

(x1, y1) = coordinates of the first point

(x2, y2) = coordinates of the second point

Plugging in the values we have, we get:

m = (-2 - 1) / (0 - 2)

m = -3 / -2

m = 3/2

Therefore, the slope of the line that passes through the points (2, 1) and (0, -2) is 3/2.

Answer: I don't know why I'm here

Step-by-step explanation: help