There are red and green apples in a crate.
There are 60 green apples in the crate.
The ratio of the number of red apples to green apples is 1:5
Georgia puts in some more red apples into the crate.
The ratio of the number of red apples to green apples is now 2:3
How many red apples does Georgia put into the crate?

The maximum likelihood estimate of the probability of getting a green light on a single pass through the traffic signal is 0.63.

To find the maximum likelihood estimate of the probability p of a green light on a single pass, we need to consider the observed frequency of green lights in the given data.

1. We are given that the car passed through the traffic signal 100 times and got a green light 63 times.
2. To find the maximum likelihood estimate (MLE) of the probability p of a green light, we need to divide the number of successful green light events (63) by the total number of passes (100).
3. Calculate the MLE: p = 63/100 = 0.63

The maximum likelihood estimate of the probability p of a green light on a single pass is 0.63.

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Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

Answer:

1.) 10: 1, 2, 5, 10.

15: 1, 3, 5, 15,

Answer would be 5.

2.) 18: 1, 2, 3, 6, 9, 18

21: 1, 3, 7, 21

Answer would be 3.

3.) 12: 1, 2, 3, 4, 6, 12.

24: 1, 2, 3, 4, 6, 8, 12, 24.

Answer would be 12.

4.) 8: 1, 2, 4, 8.

20: 1, 2, 4, 5, 10, 20.

Answer would be 4.

5.) 14: 1, 2, 7, 14.

28: 1, 2, 4, 7, 14, 28.

Answer would be 14.

Step-by-step explanation:

Using the listing method, you would first list the common factors of each number, to which that number could be multiplied by. Then, you would search for the greatest common factor.

Answer:

12 cupcakes have vanilla icing

Step-by-step explanation:

Answer:

The answer is the last one because if the diagonals of a quadrilateral bisect each other then it's a parallelogram.

Answer:

Last answer choice

Step-by-step explanation:

One of the prerequisites for a quadrilateral to be a parallelogram is for the diagonals to bisect each other. Since K is the midpoint, this means that it is halfway between the ends of each of the diagonals, and that they therefore bisect each other. Hope this helps!

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

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Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

Patrick would have a total of $54.75

Answer:

After 5 weeks, Patrick will have $54.75

Step-by-step explanation:

m = $6.95w + $20

m = $6.95(5) + $20

m = $34.75 + $20

m = $54.75

Step-by-step explanation:

Substituting value of x in the equation we get the answers.

The required values are F(12.6) = 5.028 and F(-1.09) = 3.9328 for the given function.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The function is given in the question as:

F(x) = 0.08x + 4.02

We have to evaluate the values F(12.6) and  F(-1.09) for given function.

As per the question, we have

F(x) = 0.08x + 4.02   ....(i)

For evaluate the value F(12.6),

Substitute the value of x = 12.6 in the given function,

F(12.6) = 0.08(12.6) + 4.02

F(12.6) = 1.008 + 4.02

F(12.6) = 5.028

For evaluate the value F(-1.09),

Substitute the value of x = -1.09 in the given function,

F(-1.09) = 0.08(-1.09) + 4.02

F(-1.09) = -0.0872 + 4.02

F(-1.09) = 3.9328

Thus, the required values are F(12.6) = 5.028 and F(-1.09) = 3.9328 for the given function.

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Answer:

5x−3y=−18

Explanation:

\(y=\frac{5}{3} x+6\)

Multiply everything by 3.

\(3y=5x+18\\0=5x-3y+18\\5x-3y=-18\)

Subtract 3y and 18 from both sides.

Answer:

Step-by-step explanation:

Given: AC is angle bisector of <BAD.

=> So, <BAC = <CAD

30° = x-1 °

30 +1 = x

31 = x

Then, X = 31

Hope this helps.. Good luck :)

Answer:

Step-by-step explanation:

in this kinda question, you need to know that if a line is

parallel to another line, it will have the same slope if it's

perpendicular, it will be negative reciprocal of the slope

thus, if the line is parallel to the one in the question, it will have a slope of 3/4.

and now just substitute the point that is given. (it's a solution of the equation btw)

so -6 = 3/4 (0) + b (the reason we dont include the (-4) is because it will have a different y-interecept, so we need to solve for b)

b=-6.

so y=3/4x - 6

i'll answer more questions if you mark me brainliest!

Answer: Kayla sold 1/12 gallons more than Ethan.

Step-by-step explanation:

Let's start by finding out how much lemonade Kayla sold. We know that together, Ethan and Kayla sold 1 1/4 gallons, which is the same as 5/4 gallons. We also know that Ethan sold 2/3 gallons. Therefore, we can find how much Kayla sold by subtracting Ethan's sales from the total sales:

Kayla's sales = Total sales - Ethan's sales

Kayla's sales = 5/4 - 2/3

To subtract these fractions, we need to find a common denominator. The smallest common multiple of 4 and 3 is 12, so we can rewrite the fractions with 12 as the denominator:

Kayla's sales = (5/4)(3/3) - (2/3)(4/4)

Kayla's sales = 15/12 - 8/12

Kayla's sales = 7/12

Therefore, Kayla sold 7/12 gallons of lemonade. Now, we need to compare this to Ethan's sales. We can convert Ethan's sales to twelfths to make it easier to compare:

Ethan's sales = (2/3)(4/4) = 8/12

Now we can see that Kayla sold more lemonade than Ethan. The difference in sales is:

Kayla's sales - Ethan's sales = 7/12 - 8/12

Kayla's sales - Ethan's sales = -1/12

The result is negative, which means that Ethan sold 1/12 gallons less than Kayla. Therefore, Kayla sold 1/12 gallons more than Ethan.

Okay, so surface area is basically just the area of all the faces.

Given all the dimensions of the prism we can find all the areas.

There are two faces that are 2 by 4 so they have area 8 (2*4).

Similarly, two faces have area 5*2 = 10 and two faces have area 5*4 = 20.

Adding all these up we have 8*2 + 10*2 + 20*2 = 16+20+40 = 76 sq yds

This is the surface area.

A. The following are sets A and B:

A = {2, 3, 5, 7, 11}

B = {1, 2, 3, 4, 6, 12}

C. Elements not in A or A' = ∅

B. The Venn diagram is attached

A universal set is a set which consists of all elements related to the given sets. It is denoted by U.

A. Set A:

A = {2, 3, 5, 7, 11}

Set B:

B = {1, 2, 3, 4, 6, 12}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A' = {1, 4, 6, 8, 9, 10, 12}

C. Elements not in A or A' = ∅

Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.

Hence, the Venn diagram of sets A, B and U has been attached.

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Only Graph A satisfies the criteria for a density curve, making it the correct answer.

Graph A represents a density curve because the area under the curve equals 1, and the curve is above the horizontal axis. In a density curve, the total area under the curve represents the probability, and it should always equal 1.

This indicates that the curve represents a probability distribution, where the probability of an event occurring within a certain range is given by the area under the curve within that range.

The fact that the curve is above the horizontal axis indicates positive values, which is consistent with a density curve representing a probability distribution.

On the other hand, Graph B does not represent a density curve because the area under the curve equals 2, which is not valid for a probability distribution. The area under a density curve should always equal 1, indicating that the total probability is accounted for.

As a result, only Graph A meets the requirements for a density curve, making it the right response.

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Answer:

The first step is to label the points being (1,2.3),(6,6.8) in which the first ordered pairs is the number of weeks, and the second one is the dollars in millions.

Hence, the slope is: m=(6.8-2.3)/(6-1) = 4.5/5 = 9/10 = 0.9

The slope represents the dollar rate in the millions per week. In this case, the movie grossed $0.9 million per week from week one to the sixth week.

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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The rate of hiking is 4 miles per hour.  The rate of driving is 40 miles per hour.

What is the mile?

Mile, any of various units of distance, such as the statute mile of 5,280 feet (1.609 km). It originated from the Roman mile passus, or “thousand paces,” which measured 5,000 Roman feet.

We have given,

A camper traveled 80 miles to a destination for recreation before doing a 4-mile stroll through the woods. The camper's speed while driving was ten times that of the hiker. Three hours were spent driving and hiking together.

We have to determine the camper's hiking speed.

We know that,

Let x represent the increasing rate and 10x represent the driving rate

Time equation is

80/10x + 4/x = 3

Simplify

8/x + 4/x = 3

12/x = 3

x = 12/3

x = 4

Therefore, Driving is done at a 40 mph speed when a camper traveled 80 miles to a destination for recreation before doing a 4-mile stroll through the woods.

Hence, the rate of hiking is 4 miles per hour.  The rate of driving is 40 miles per hour.

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The intervals would contain approximately 95% of the measurements will be (120, 280). Then the correct option is C.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

In numerical documentation, these realities can be communicated as follows, where Pr(X) is the likelihood capability, Χ is a perception from an ordinarily circulated irregular variable, μ (mu) is the mean of the dispersion, and σ (sigma) is its standard deviation:

The interval for 95% will be given as,

Pr(X) = μ ± 2σ

Pr(X) = 200 ± 2(40)

Pr(X) = 200 ± 80

Pr(X) = (200 - 80, 200 + 80)

Pr(X) = (120, 280)

The intervals would contain approximately 95% of the measurements will be (120, 280). Then the correct option is C.

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Answer:

b yes c yes

Step-by-step explanation:

9.72 × 10^4 = 97200

1.04 x 10^5 = 104000

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Answer:

20 books

Step-by-step explanation:

can u help me with my math question please

Answer:

\(c= \dfrac{9}{4}\)

Step-by-step explanation:

For a function f(x) to satisfy the Mean Value Theorem, it must satisfy the following conditions:

Given \(f(x)=\sqrt{x}$ in [0,9]\)

1. f(x) is defined and continuous on [0,9] since a polynomial function is continuous everywhere.

2. f(x) is differentiable in the interval (0,9) since a polynomial function is differentiable everywhere.

\(f(9)=\sqrt{9}=3\\f(0)=\sqrt{0}=0\\f'(x)=\dfrac{1}{2\sqrt{x} }\)

3.By the mean value theorem:

\(f'(c) = \displaystyle\frac{f(b)-f(a)}{b-a}\\\\\frac{1}{2\sqrt{c}} = \frac{f(9) - f(0)}{9-0} = \frac{3}{9}\\\\\frac{1}{2\sqrt{c}} = \frac{1}{3}\\\\$Cross multiply$\\\\2\sqrt{c}=3\\\\$Square both sides$\\\\(2\sqrt{c})^2=3^2\\\\4c=9\\\\c= \dfrac{9}{4}\)

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:

I believe that the answer is B.

Step-by-step explanation:

You can automatically elleminate A bc blue is not larger that red so it is down to C and D. C and D is to small of a percentage bc it would more than likely be one of the smaller numbers on there but red is the largest number in the chart.

So that is why my answer is B.