Mrs.cooper painted 1/3 of her wall in 3/4 hour if she works at the same rate what portion of the wall will she paint in one hour

The maximum fishery biomass that can be removed yearly while still sustaining the population is known as the Maximum Sustainable Yield (MSY).

The Maximum Sustainable Yield (MSY) represents the maximum amount of fishery biomass that can be harvested from a population each year while maintaining its long-term sustainability. It is a crucial concept in fisheries management, aiming to balance resource utilization with the need for population replenishment.

By setting harvest limits below the MSY level, fish stocks can regenerate, ensuring the continuation of the fishery in the future. MSY takes into account various factors such as population growth rates, reproductive potential, and ecosystem dynamics to determine a sustainable level of extraction.

Proper adherence to MSY principles helps prevent overfishing and promotes the conservation of aquatic resources.

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Step-by-step explanation:

A parenthesis is used when the number next to it is NOT part of the solution set

   like :   all numbers up to but not including 3 .    

  Parens are always next to  infinity  when it is part of the solution set .

  A bracket is used when the number next to it is included in the solution set.

Answer:

i think its $0.20

Step-by-step explanation:

 12                 1

------      =   ---------

 2.49          0.20

1 egg = $0.20

The probability of a player spinning the color green and then rolling an even number is 1/12.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Spinner:

= {red, purple, blue, green, white, orange}

Cube:

= {1, 2, 3, 4, 5, 6}

Now,

The sample space of spinning and rolling a cube.

= {red, purple, blue, green, white, orange} x {1, 2, 3, 4, 5, 6}

The number of outcomes.

= 6 x 6

= 36

Now,

The outcome of spinning a green and an even number.

= (green, 2), (green, 4), (green, 6)

Number of outcomes = 3

Now,

The probability of a player spinning the color green and then rolling an even number.

= 3/36

= 1/12

Thus,

The probability of a player spinning the color green and then rolling an even number is 1/12.

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Answer:

D.

πr2(2h)pi r squared left parenthesis 2 h right parenthesis

Step-by-step explanation:

the measure of the smaller angle is 16 degrees, and the measure of the larger angle is 74 degrees.

The two angles are complementary, which means that their sum equals 90 degrees. Let x be the smaller angle, and y be the larger angle.

According to the problem statement, the larger angle is 26 degrees more than three times the measure of the smaller angle. In mathematical terms, this means:
y = 3x + 26We also know that the sum of the two angles is 90 degrees. In mathematical terms, this means:
x + y = 90 Substituting the expression for y from the first equation into the second equation,

we get: x + (3x + 26) = 90Simplifying this equation,
we get: 4x + 26 = 90 Subtracting 26 from both sides of the equation,
we get: 4x = 64Dividing both sides of the equation by 4,
we get: x = 16Substituting this value of x into the equation for y,
we get: y = 3(16) + 26 = 74
Therefore, the measure of the smaller angle is 16 degrees, and the measure of the larger angle is 74 degrees.

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Answer:

\(V=209\ cm^3\)

Step-by-step explanation:

The height of this cone, h = 8 cm

The radius of this cone, r = 5 cm

We need to find the volume of this cone. The formula for the volume of a cone is given by :

\(V=\dfrac{1}{3}\pi r^2 h\)

Put all the values,

\(V=\dfrac{1}{3}\times 3.14\times 5^2 \times 8\\\\=209.33\approx 209\ cm^3\)

So, the volume of this cone is equal to \(209\ cm^3\).

Answer:

There are four terms.

Step-by-step explanation:

The terms are basically just 2x, 5, 2y, -3

I hope this helps you :D

c h e e s e c h e e s e s m i l e f o r t h e c a m e r a c h e e s e c h e e s e s t o p s m i l i n g c h e e s e c h e e s e s m a s h t h e c a m e r a c h e e s e c h e e s e k i l l t h e p h o t o g r a p h e r c h e e s e c h e e s e s m i l e a t t h e d e a d b o d y c h e e s e c h e e s e t h i s i s t h e c h e e s e s o n g c h e e s e c h e e s e .

The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x

From the question, we have the following parameters that can be used in our computation:

Using the following representations:

We have the following system of inequalities from the given statements

10x + 20y ≤ 100

y > 2x

Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x

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SOLUTION

(2). We are given the equation

And we want to prove that

This becomes

Reason: Given

Reason: Multiplication property of equality.

Reason: Subtraction property.

Reason: Division property of equality

Answer:

3k+1

Step-by-step explanation:

Answer:

The correct answer is 3k + 1

Step-by-step explanation:

Hope this helps:) Goodluck!

Answer:

5 (thats alot of cookies she ate)

Step-by-step explanation:

27.5/5.5=5

The property of equality being represented by the equation xa = xb when a = b is called the symmetric property. Correct option is b.

The symmetric property states that if a = b, then b = a. This means that the order of the variables can be reversed without changing the truth of the equation.

In the given equation xa = xb, we have two variables, x and a, and two instances of the variable x, represented as xa and xb. If a = b, we can apply the symmetric property to switch the order of the variables, resulting in xb = xa. This demonstrates that the equation remains true regardless of the order in which the variables are presented.

Therefore, the correct answer is b) symmetric, as the equation xa = xb represents the symmetric property of equality.

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The line in slope intercept form is y=x-6.

From the given graph, (0, -6) and (6, 0).

The standard form of the slope intercept form is y=mx+c.

Slope (m) = (0+6)/(6-0)

= 6/6

= 1

Substitute m=1 and (x, y)=(0, -6) in y=mx+c, we get

-6=1(0)+c

c=-6

So, slope intercept form is y=x-6

Therefore, the line in slope intercept form is y=x-6.

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Answer: First Box, Fourth Box

Step-by-step explanation: I took the test

The different values that could be be the greatest common divisor of the two integers are; 1, 2, 3, 4, 6

Let the numbers be a, b. Thus, the product of the GCD(a, b) and the LCM(a, b) will be ab.

Now, for us to get something to be a factor of the GCD we need to make it be a factor of both a, b. Thus, its' square must be a factor of 180.

Therefore, the only numbers whose square is a factor of 1800 are 1, 2, 3, 4, 6 and as such they are the only GCDs possible.

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Answer:

$167.40

Step-by-step explanation:

5(16%)=80%

100% - 80% = 20%

20% × $837 = $167.40

Answer:

A = 6

B = 5.5

Step-by-step explanation:

16/8 = 2 so just multiply by 2 for 3, and divide by 2 for 11

yes

Step-by-step explanation:

The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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The answer is: A) The data support the researchers' belief that night owls have better dream recall than early birds. B) we can be 92% confident that the true difference in mean number of dreams recalled per week between night owls and early birds is between 1.87 and 2.63.

A) These are the alternative and null hypotheses:

H0: μE = μN (the mean number of dreams recalled each week is the same for early birds and night owls) (the mean number of dreams recalled per week is the same for early birds and night owls)

Ha: μE < μN (the mean number of dreams recalled each week is smaller for early birds than for night owls) (the mean number of dreams recalled per week is lower for early birds than for night owls)

Using the following formula, we can run a two-sample t-test with unequal variances:

t = [(sN2 / nN) + (sE2 / nE)] / sqrt[(xN - xE)]

where nN and nE are the sample sizes for night owls and early birds, respectively, and xN and sN and xE and sE are the sample means and standard deviations for night owls and early birds, respectively.

When we enter the values, we obtain:

t = (9.55 - 7.26) / sqrt[(5.88^2 / 100) + (6.94^2 / 100)] = 5.01

The data are consistent with the researchers' hypothesis that night owls are more capable of remembering their dreams than early birds.

B) We can use the following formula to determine the confidence interval:

CI is equal to (xN - xE) t/2 * sqrt[(sN / nN) + (sE / nE)].

where t/2 is the t-value for the required level of confidence and degrees of freedom, and xN, xE, sN, sE, nN, and nE are the same as previously (198 in this case).

With a t-value of 1.75 and a 92% confidence level (from a t-distribution with 198 degrees of freedom), we get:

CI is equal to (9.55 - 7.26) 1.75 * sqrt[(5.88 - + 6.94 / 100)] = (1.87, 2.63) (1.87, 2.63)

The genuine difference between night owls and early birds in terms of the average number of dreams recalled per week is therefore between 1.87 and 2.63, with a 92% confidence interval.

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Thus, there is a 71.95% chance that a randomly selected amateur player in the tournament is not in the top 40 golfers in the world.

The first step in solving this problem is to use the given information to calculate the proportion of players who are both amateurs and ranked in the top 40 golfers in the world.

Since being a top 40 golfer and being an amateur are mutually exclusive, the proportion we're interested in is the proportion of amateur players who are not in the top 40.

We know that 15% of players are in the top 40, so 85% of players are not. We also know that 67% of players are amateurs, so 33% of players are not. To find the proportion of amateur players who are not in the top 40, we can multiply these two proportions:

0.85 x 0.33 = 0.2805

So, 28.05% of players in the tournament are amateurs who are not in the top 40.

Now, we can use this proportion to answer the question of what the probability is of selecting an amateur player who is not in the top 40, given that the player is an amateur. This is simply the proportion we just calculated:

P(amateur and not top 40) = 0.2805

Therefore, the probability of selecting an amateur player who is in the top 40 is:

P(top 40 | amateur) = 1 - P(amateur and not top 40)
= 1 - 0.2805
= 0.7195 or 71.95%

In other words, there is a 71.95% chance that a randomly selected amateur player in the tournament is not in the top 40 golfers in the world.

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Answer:  x ≥ 4.50

Because the cost is at least $4.50 per pound

The quadrilateral with no pair of parallel sides is trapezium

Given data ,

A = a quadrilateral with no pair of parallel sides

This type of quadrilateral is called a trapezium. In some countries, a trapezium is defined as having exactly one pair of parallel sides, while in other countries, a trapezium is defined as having at least one pair of parallel sides.

In any case, a quadrilateral with no pair of parallel sides is not considered a trapezium. Instead, it is known as a general quadrilateral.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

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To calculate the sample size needed to provide a margin of error of 3 or less with a 0.95 probability, we can use the formula:

n = (Z * σ / E)^2

Where:
n = sample size
Z = z-score corresponding to the desired confidence level (in this case, 0.95)
σ = population standard deviation
E = margin of error

Given that the population standard deviation (σ) equals 17 and the margin of error (E) is 3, we can substitute these values into the formula:

n = (Z * σ / E)^2
n = (1.96 * 17 / 3)^2
n = (33.32 / 3)^2
n = 11.107^2
n ≈ 123.29

Since the sample size cannot be a decimal, we need to round it up to the nearest whole number. Therefore, the sample size needed to provide a margin of error of 3 or less with a 0.95 probability when the population standard deviation equals 17 is 124.

In conclusion, a sample size of at least 124 is needed to achieve a margin of error of 3 or less with a 0.95 probability, assuming a population standard deviation of 17.

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a) According to the central limit theorem, the mean is $142 and the standard deviation is $0.7488.

b) Nearly normal according to the central limit theorem.

c) 0.0901 = 9.01% probability that the average cable service paid by a sample of cable service customers exceeds $170 in the central limit theorem.

Normal probability distribution:

The normal probability distribution, discovered by Abraham De Moivre in 1733, approximates the binomial probability distribution when a particular experiment has a very large number of trials. In 1774 Laplace studied the mathematical properties of the normal probability distribution. By historical error, the discovery of the normal distribution was attributed to Gauss, first mentioned in his 1809 paper. In the 19th century, many scientists discovered that measurement errors in a particular experiment followed a pattern (usual error curve). ), which was very well approximated by this probability distribution.

Central Limit Theorem:

The central limit theorem is a statistical theory that for large sample sizes with finite variance, samples are normally distributed and the mean of the sample is approximately equal to the mean of the entire population.

According to the Question:

The average monthly charge is $142 with a standard deviation of $29.

This is μ = 142 and σ = 29

Part a:

The mean and standard deviation of the sampling distribution of x to show your research and support your argument:

1500 samples (over 30).

According to the Central Limit Theorem

The mean is 142 $

The standard deviation is s = \(\frac{29}{\sqrt{1500} }\) = 0.7488

Part b:

Shape of sampling distribution of X.

Due to the large sample size, the shape of the sample distribution is almost normal. According to the central limit theorem, which states that the sampling distribution converges to the normal distribution as the sample size increases. Mean ~ N(142, 0.749²)

Part C:

The probability that the average cable service paid by a sample of cable service customers exceeds $170.

Therefore, by the central limit theorem, the p-value of Z when X= 170

                         Z =  x - μ/ σ

By the Central Limit Theorem:

   Z = 170 - 142 / 0.7488

      = 28/ 0.7488

      = 37.34 exceeds 0.9099

Using the Z probability calculator :

P(Z > 1.335) = 0.09093

Complete Question:

The amount people pay for cable service varies quite a bit but the mean monthly fee is $142 and the standard deviation is $29. the distribution is not normal many people pay about $76 for basic cable and about $160 for premium service but some pay much more. a sample survey is designed to ask a simple random sample of 1,500 cable service customers how much they pay. let x hat be the mean amount paid.

Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.

Part b: what is the shape of the sampling distribution of x hat justify your answer.

Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $170? show your work.

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Answer:

it is an isosceles triangle.

Step-by-step explanation:

first of, total angle of a triangle is 180°

angle on a straight line is 90°

if AB'C is 80°

AC'B =40

then A = 60°

which proves the notion that all the sides are unequal which is the basic characteristic of an isosceles triangle.

Answer:

D

Step-by-step explanation:

First let's list down the formulas we will be using.

Area of Quadrant = 1/4 x Area of Circle

= \(\frac{1}{4} \pi r^{2}\)

Area of Part of a circle = (θ/360)\(\pi r^{2}\)

First, we will find Angle QOT.

Angle QOT = 360 - 231 = 129

Area of ORST = \(\frac{129}{360} \pi (21)^{2} \\=\frac{6321}{40} \pi cm^{2}\)

Next we know that, Q is midpoint of OR, therefore OQ = QR

and OQ = 0.5 * OR

OQ = 0.5 * 21 = 10.5cm = radius of Quadrant QOP

Area of Quadrant QOP = \(\frac{1}{4} \pi (10.5)^{2} \\=\frac{441}{16} \pi cm^{2}\)

Lastly,

Area of Shaded Region = Area of ORST - Area of Quadrant QOP

= \(\frac{6321}{40} \pi -\frac{441}{16} \pi \\= 409.86cm^{2}\)

Similar to the other question you asked, choose the closes answer as there might be some rounding differences. I kept it in fractions as it will ensure maximum precision.

Answer:

3\(\sqrt{3}\)\(\sqrt[4]{2}\)

Step-by-step explanation:

(3^3 * 2^(1/2))^1/2 = 3^(3/2) * 2^(1/4) = 3* 3^(1/2) * 2^(1/4)

At the end of the day, the temperature was -22°F.

-8-14 = -22