help me with this problem please

The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The maximum area of the pen is the highest area the pen can have

The maximum area is 16200 square yards

Let the dimension be x and y.

So, the perimeter is given as:

\(\mathbf{P = 360}\)

Because it has one additional fence, the perimeter is calculated as:

\(\mathbf{2x + y = 360}\)

Make y the subject

\(\mathbf{y = 360 - 2x}\)

The area is calculated as:

\(\mathbf{A = xy}\)

Substitute \(\mathbf{y = 360 - 2x}\)

\(\mathbf{A = x(360 -2x)}\)

Expand

\(\mathbf{A = 360x -2x^2}\)

Differentiate

\(\mathbf{A' = 360 -4x}\)

Set to 0

\(\mathbf{360 -4x = 0}\)

Rewrite as:

\(\mathbf{4x = 360}\)

Divide both sides by 4

\(\mathbf{x = 90}\)

Substitute 90 for x in \(\mathbf{A = 360x -2x^2}\)

\(\mathbf{A = 360 \times 90 - 2 \times 90^2}\)

\(\mathbf{A = 16200}\)

Hence, the maximum area is 16200 square yards

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Answer:

9

Step-by-step explanation

Answer:

9

Step-by-step explanation:

8 is the ones digit.

Drop .525

If the first digit you drop is from 0 to 4, the last digit you keep stays the same.

In this case, the first digit you drop is 5. Since 5 is greater than 4, we round up by adding 1 to 8.

Answer: 9

The volume of the solid is (3π/5) units^3.  To find the volume of the solid formed by rotating the region in the 1st quadrant enclosed by the curves y=x^1/4 and y=x/64 about the y-axis, we can use the method of cylindrical shells.

First, we need to determine the limits of integration. Since the region is in the 1st quadrant, we can integrate from y=0 to y=1. To find the corresponding x-values for these limits, we can set y=x^1/4 and y=x/64 equal to 1 and solve for x:

x^1/4 = 1 => x = 1

x/64 = 1 => x = 64

So, our limits of integration are x=1 to x=64.

Next, we need to find an expression for the radius of each cylindrical shell. The radius is simply the distance from the y-axis to the curve at a given y-value. So, for a given y, the radius is:

r = x - x^1/4

Finally, we need to find an expression for the height of each cylindrical shell. The height is the infinitesimal change in y, which is simply dy. So, the volume of each cylindrical shell is:

dV = 2πr dy

Putting it all together, we have:

V = ∫(2πr) dy from y=0 to y=1

= ∫2π(x - x^1/4) dy from y=0 to y=1

= 2π ∫(x - x^1/4) dy from y=0 to y=1

= 2π ∫(y^4 - y) dy from y=0 to y=1

= 2π [y^5/5 - y^2/2] from y=0 to y=1

= 2π [(1/5) - (1/2)]

= (3π/5) units^3

Therefore, the volume of the solid is (3π/5) units^3.

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Answer:

0.9396y

Step-by-step explanation:

sale = 13% of original price = 13% of y

13% = 0.13 by dividing by 100 to convert it to a decimal

13% of y = 0.13y

new amount = original amount - sale = 1y - 0.13y = 0.87y

tax = 8% of new price = 0.08 * (0.87)y

final amount = new amount + taxed amount = 0.87y + 0.08*(0.87)y = (0.87 + 0.08 * 0.87)y = 0.9396y

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance is 10.76.

The critical value can be determined using a statistical table.

The degrees of freedom for the blocks is 4 (df_b = 5 - 1 = 4) and for the treatments is 2 (df_t = 3 - 1 = 2).

The critical value for a 5% level of significance is 10.76.

This value can be found in the statistical table given in the textbook.

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance can be calculated by using the F-test statistic.

The F-test is used to compare the variance between the blocks (SSBL) and the variance between the groups (SSB).

The F statistic is calculated by dividing the variance between the blocks (SSBL) by the variance between the groups (SSB).

In this case,

The F statistic is 3738/1048.93 = 3.56.

The critical value for a 5% level of significance can be found using a statistical table.

According to the table,

The critical value for an F statistic of 3.56 with four degrees of freedom in the numerator and four degrees of freedom in the denominator is 10.76

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There are 2940 no votes.

From the question, we have

there were 8085 total votes

ratio= 7 :4

No votes = 4/11*8085

=2940

Divide:

Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.

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Coplanar circles that have the same center, but not necessarily the congruent radii are called concentric circles.

From the question, we have the following statements:

As a general rule, circles that have the above features are referred to as concentric circles.

This is so because concentric circles have the same center, and they do not intersect

Hence, coplanar circles that have the same center, but not necessarily the congruent radii are called concentric circles.

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The correct option is option a) One standard deviation.

According to the empirical rule, the bell or mound shaped distribution will have approximately 68% of the data within one standard deviations of the mean.

According to the empirical rule, the bell or mound-shaped distribution will have approximately 68% of the data within one standard deviation of the mean. This means that if the data is normally distributed, then about 68% of the data points will fall within one standard deviation above or below the mean.

Similarly, the empirical rule states that approximately 95% of the data will fall within two standard deviations of the mean, and about 99.7% of the data will fall within three standard deviations of the mean.

This means that if the data is normally distributed, then 95% of the data points will fall within two standard deviations above or below the mean, and 99.7% of the data points will fall within three standard deviations above or below the mean.

It is important to note that the empirical rule is based on the assumption that the data is normally distributed. If the data does not follow a normal distribution, then the empirical rule may not apply.

Therefore, the answer to the question is (a) One standard deviation, (b) Two standard deviations, and (c) Three standard deviations. Option (d) Four standard deviations and (e) Four standard deviations are not correct, and option (f) None of the above is partially correct as it excludes options (a), (b), and (c), but option (g) All of the above is not correct as options (d) and (e) are incorrect.

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Answer:

Option A - 32 cm³

Step-by-step explanation:

Volume of a pyramid is given by the formula :

V = \(\frac{lwh}{3}\)

Substituting values given gives us :

V = (4)(4)(6)/3

V = (16)(6)/3

V = 96/3

V = 32

Units will be cm³ as this is volume

Hope this helped and have a good day

Answer:

A. 32 cm³

Step-by-step explanation:

V = (1/3)(area of base)(height)

The base is a square of side 4 cm.

area of base = side × side

V = (1/3)(4 cm × 4 cm)(6 cm)

V = 32 cm³

Answer:

34/40

Step-by-step explanation:

85/100 cross multiply x/40

100x/100=3400/100

x=3400/100

3400/100=34

x=34

Picture included

(Sorry about my handwriting)

Hope this helps!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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Answer:

97

Step-by-step explanation:

76+83+89+95+100=443

there are all 6 tests.

we consider marks of last lest as "X"

x should be added to total mark

to obtain average mark, total marks should divided by no. of tests.

(443+x)/6=90

443+x=90*6

443+x=540

x=540-443

x=97

The diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

To convert the diameter of Earth from miles to kilometers, we can multiply the given diameter in miles by the conversion factor of 1.6 kilometers per mile.

Given that Earth's diameter is 7,926 miles, we can calculate its diameter in kilometers as follows:

Diameter in kilometers = Diameter in miles × Conversion factor

Diameter in kilometers = 7,926 miles × 1.6 kilometers/mile

Diameter in kilometers = 12,681.6 kilometers

Rounding this value to the nearest whole number, we get 12,682 kilometers.

Therefore, the correct answer is option D: 12,682 km.

Option A: 49,553 km is not the correct answer. It is not consistent with the given diameter of Earth.

Option B: 120,586 km is also not the correct answer. It is not consistent with the given diameter of Earth.

Option C: 1,392,650 km is significantly larger than the actual diameter of Earth and is not a plausible value.

In conclusion, the diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

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Answer:

9,000 minutes (150 hours)

Step-by-step explanation:

You have 3,600 points total; you need to divide it by 2 points.
3,600 ÷ 2 = 1,800

So, now you need to multiply the 1,800 points by 5 minutes.

1,800 × 5 = 9,000

Another way:

You can figure out how long it takes to get 1 point. If 2 points takes 5 minutes, divide 5 by 2.

5 ÷ 2 = 2.5

Now you need to figure out how long it would take to get 3,600 points. If each point takes 2.5 minutes, just multiply.

3,600 × 2.5 = 9,000

It would take 9,000 minutes (which is equivalent to 150 hours) to get to 3,600 points.

Answer:

Area = 5 × 8

= 40 square units

Answer:

40^2

Step by Step Solution:

I counted the difference between the length and the width, which was 5 and 8, then using the formula for area, lw=a^2, I did 5(8)=40^2.  Some people leave out the squared part of the area, but 40^2 would be the most correct option if they do not square any of the answers, just put 40 that'll probably be accepted too.

To calculate the annual salary of a marine biologist whose gross monthly salary is $6543, we simply need to multiply the monthly salary by the number of months in a year.

There are 12 months in a year, so the annual salary would be:$6543 x 12 = $78,516 Therefore, the annual salary of the marine biologist is $78,516.

As a marine biologist, one can expect to work in a variety of settings such as research institutions, aquariums, government agencies, conservation organizations, and more. Their job typically involves conducting research, studying marine organisms and their behaviors, and collecting data to help better understand the marine environment.

This work can be physically demanding and may require traveling to remote locations or spending long hours at sea.

Overall, marine biology is a fascinating and rewarding field for those who are passionate about the ocean and its inhabitants. With an annual salary of $78,516, marine biologists are compensated fairly for their valuable contributions to science and conservation.

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The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The equation of the line is y = -4x + c.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through (0, 2) and (-3, 14).

This means,

m = (14 - 2) / (-3 - 0)

m = 12 / -3

m = -4

Now,

(0, 2) = (x, y)

y = mx + c

2 = -4 x 0 + c

2 = 0 + c

c = 2

Now,

The equation of the line.

y = -4x + 2

Thus,

The equation of the line is y = -4x + c.

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Answer:

\(x > \frac{5}{2} > 2\frac{1}{2}\)

Step-by-step explanation:

group

\(4x-7 > 3\\4x-7+7 > 3+7\\4x > 3+7\\4x > 10\)

isolate "x"

\(4x > 10\\=\frac{4x}{4} > \frac{10}{4}\\x > \frac{10}{4}\\x > \left(\frac{5\cdot 2}{2\cdot 2}\right)\\x > \frac{5}{2}\)

Answer:

x > 2.5 or in fraction form x > 2 1/2

Step-by-step explanation:

4x - 7 > 3

     +7  +7         Add seven to both sides.

4x > 10

÷4     ÷4            Divide both sides by 4.

x > 2.5

Hope this helps!

Answer:

I am pretty sure it is 0.54

Answer:

The answer is 0.54. I have included a screenshot that shows the work and how to get 0.54. I hope this helps!

And by the way yes, I do know this is a 1-year-old question but I would like points and I have the answer.

:D

- Your friendly (late) responder

In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

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That the equation of the line is y = 7x - 50.

The equation of a line with slope m passing through the point (x1, y1) is given by: y - y1 = m(x - x1).

In this case, the line has a slope of 7 and passes through (8, 6). Therefore, we can plug in the values for m, x1, and y1 into the equation above to find the desired equation.

Substituting in 7 for m, 8 for x1, and 6 for y1, we can rewrite the equation as: y - 6 = 7(x - 8).

Simplifying, we find that the equation of the line is y = 7x - 50.

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The sum of two hundred even numbers in the sequence from 0 to 398 is 39800

To find the sum of two hundred even numbers from 0 to 398, we can use the formula of sum of an arithmetic progression.

\(S_n = \frac{n}{2}[2a(n-1)]d\)

The number of terms given here is 200, the first term is 0 and the common difference is 2

Substituting the values into the equation

\(S_n = \frac{n}{2}[2a+(n-1)]d\\S_n = \frac{200}{2}[2*0+(200-1)*2\\S_n = 100(0+199)*2\\S_n = 39800\)

The sum of two hundred even numbers from 0 to 398 is 39800

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Answer: give me brainlist and i will tell u

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

Answer:  Exactly one solution

Step-by-step explanation:

The reason for is because if we were to graph these two lines, we discover that they only intersect at one point, at (6,7). Therefore, if we were to plug those points in respectively, we see that it is true.

Answers:

The units for the milk weren't stated, but I'm assuming it's probably "cups".

=========================================================

Explanation:

The recipe makes 16 portions or servings of soup. Richard only wants 4 servings. This means he needs to divide each ingredient amount by 4. Note how 16/4 = 4.

So,

Change "cups" to whatever other measurement unit is provided.

Applying the Pythagorean theorem, the length of the altitude is: 7.79 units.

The Pythagorean Theorem is given as: c² = b² + a², where c is the hypotenuse.

An altitude of an equilateral triangle bisects the base of the triangle forming equal segments. Therefore, we would have the following:

c = 9

b = 4.5

Length of altitude = a = ?

Thus:

a = √(c² - b²)

a = √(9² - 4.5²)

a = 7.79 units.

Thus, applying the Pythagorean theorem, the length of the altitude is: 7.79 units.

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