The extract of a plant native to Taiwan has been tested. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 68 and a standard deviation of 6.1 grams per milliliter.
(a) What is the probability that the amount of collagen is greater than 62 grams per milliliter?
(b) What is the probability that the amount of collagen is less than 74 grams per milliliter?
(c) What percentage of compounds formed from the extract of this plant fall within 1 standard deviation of the mean?

Answer:

Step-by-step explanation:

length = 120/8 = 15 feet

perimeter = (15 + 8) x 2 = 46 feet

The area is the product of the length and width then the length of the rectangle is 15 feet.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle has an area of 120 square feet and a width of 8 feet.

Then the length of the rectangle will be

Area = Length × Width

 120 = 8L

     L = 15

Then the length of the rectangle is 15 feet.

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Answer:

Answer:

......................................,........

Among the options provided, (3, 3) is the closest approximate solution.

A finite set of equations for which we searched for the common solutions is referred to as a system of equations, also known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorised.

To approximate the solution(s) to the system of equations f(x) = log(x) and g(x) = x - 3, we can use technology such as a graphing calculator or a mathematical software.

By graphing the functions f(x) = log(x) and g(x) = x - 3 on the same coordinate plane, we can find the points where the graphs intersect, which represent the solution(s) to the system of equations.

Using technology, we find that the graphs intersect at approximately (3, 3). Therefore, the solution to the system of equations is (3, 3).

Among the options provided, (3, 3) is the closest approximate solution.

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Based on the given percentiles, we can determine that the value of X represents the resting heart rate at the 25th percentile. To estimate the value of X, we can use the z-score formula for a normal distribution. The z-score corresponding to the 25th percentile is approximately -0.674.

The formula for the z-score is: (X - mean) / standard deviation. We have the mean (70 bpm) and the z-score (-0.674), but we need to estimate the standard deviation. To do this, we can use the 50th and 75th percentiles. The z-score for the 50th percentile is 0, so the mean equals the 50th percentile value (70 bpm). The z-score for the 75th percentile is 0.674, so we can set up the equation:

(80 - 70) / standard deviation = 0.674

10 / standard deviation = 0.674

Standard deviation ≈ 10 / 0.674 ≈ 14.8 bpm

Now we can solve for X:

-0.674 = (X - 70) / 14.8

-0.674 * 14.8 ≈ X - 70

-9.9 ≈ X - 70

X ≈ 60.1

Rounding to the nearest whole number, the value of X is approximately 60 bpm.

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Answer:

division

Step-by-step explanation:

you need to get the x by its self because right now x is being multiplied by 3 tou divide it out

Answer:

Division

Step-by-step explanation:

you will divide both sides by 3..“the number that is disturbing x”

3,600 deposit

6% interest per month

1 year = 12 months

3, 600 * .06 = 216 ( one month)

216 * 12 = 2,592

3,600 + 2592 = 6,192 (after one year)

Answer:

a

Step-by-step explanation:

pleasejjjffgddrjhfyuh

Answer:

- 1/2

Step-by-step explanation:

I took the test and it was right.

Yes, two samples can have the same range but different means. The range of a dataset is a measure of the spread or dispersion and is determined by the difference between the maximum and minimum values. The mean, on the other hand, represents the average value of the dataset.

To illustrate this concept, let's consider two different samples:

Sample 1: 1, 5, 6, 9, 10

Sample 2: 2, 4, 7, 8, 10

Both samples have a range of 9 (10 - 1).

However, the means of the samples are different. The mean of Sample 1 is

(1 + 5 + 6 + 9 + 10) / 5 = 6.2,

while the mean of Sample 2 is

(2 + 4 + 7 + 8 + 10) / 5 = 6.2.

Despite having the same range, the means differ between the two samples.

The range only considers the extreme values of the dataset, whereas the mean takes into account all values and provides an average measure. It is possible for the individual values within the samples to be distributed differently, resulting in different means, even if the range remains the same.

Therefore, the range and the mean are distinct measures that capture different aspects of the dataset. While it is possible for two samples to have the same range, they can still have different means based on the specific values and their distribution within each sample.

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Answer:

-2 and .66666

Step-by-step explanation:

2(3x^2+4x-4)=0

2(3x^2+6x-2x-4)=0

2(x+2)(3x-2)=0

x=-2, .6666

The perimeter of the rectangle is 6x² + 12x + 20.Given the length and width of a rectangle as (3x² + 5x+3) and (x+7) respectively.

The perimeter of a rectangle is the total length of all its sides. It can be calculated by adding the lengths of its four sides together. For a rectangle with side lengths "length" and "width," the perimeter is given by the formula: Perimeter = 2 × (length + width).

We are to find the perimeter of the rectangle.The perimeter of a rectangle is the sum of all its sides.Perimeter of rectangle = 2(length + width)Where, length = 3x² + 5x+3 and width = x+7

Substitute the given values in the above formula;P = 2(length + width)P = 2(3x² + 5x+3 + x+7)P = 2(3x² + 6x + 10)P = 6x² + 12x + 20

Therefore, the perimeter of the rectangle is 6x² + 12x + 20.

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Answer:

P = -4

Step-by-step explanation:

Assuming that x = 20 and y = 24, you have to plug in these numbers for x and y to get to this equation P = 20 - 24.  You should get -4 when you subtract 24 from 20 giving you a negative answer.

Answer: 3,540

Step-by-step explanation: If she is adding 60 dollars a week to the savings count. That means that you will have to multiply 60 x 39. And you add the 1,200 to it.

Answer:

Step-by-step explanation:

24

In this case, 5 percent - 3 percent = 2 percent. However, since we are interested in per capita output,the growth relative to the population size. Dividing the 2 percent growth by the population growth rate of 3 percent and multiplying by 100 gives us approximately 1.94 percent.

To provide a more detailed explanation, per capita output refers to the average output per person in a population. It is calculated by dividing the total output by the population size. When output increases, it can be due to factors such as technological advancements, increased productivity, or expanded production capacity. Population growth, on the other hand, refers to the increase in the number of individuals in a population over time.

When output increases by 5 percent, it indicates that the total output has grown. However, to determine the per capita output, we need to account for the population growth as well. If the population is growing at a rate of 3 percent, it means that the number of individuals in the population is increasing. This increase in population should be considered when calculating the per capita output.

By subtracting the population growth rate of 3 percent from the output growth rate of 5 percent, we obtain the net growth in per capita output, which is approximately 2 percent. This means that on average, each person in the population experiences a growth in output of approximately 1.94 percent after accounting for population growth.

It's important to note that these calculations assume that the output growth and population growth rates are constant and apply uniformly across the entire population. In reality, variations in growth rates and population dynamics can lead to different outcomes.

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Answer:

he used one 1/12 more of salt.

Step-by-step explanation:

2/3 I know equals 8/12

And

7/12 = 7/12 so

You just do

8/12 - 7/12 = 1/12

x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.

A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).

To solve the simultaneous equations:

8x + 3y = 45 ...(1)

2x + 3y = 27 ...(2)

By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:

(8x + 3y) - (2x + 3y) = 45 - 27

6x = 18

x = 3

In order to obtain the value of y, we can now change the value of x in either equation (1) or (2). Consider using equation (1):

8x + 3y = 45

8(3) + 3y = 45

24 + 3y = 45

3y = 45 - 24

3y = 21

y = 7

Therefore, the solution to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27 is x = 3 and y = 7.

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Answer:

Step-by-step explanation:

7x+4^3+5  just answer that ans that will givin u your answer

Answer:

Answer is A.

Step-by-step explanation:

Hope it helps.

Answer:

a

Step-by-step explanation:

EDGE 2020

Answer:

k = 2

Step-by-step explanation:

To get the variable k alone, you must add (-1) from the left side and add (1) to the right side.

k - 1 = 1

  +1   +1

k = 2

Answer:

A)  x = 8\(\sqrt{2}\)

Step-by-step explanation:

in a 45-45-90 triangle, the legs to hypotenuse ratio is 1 : \(\sqrt{2}\)

so in this problem the leg is 8 and the hypotenuse is 8\(\sqrt{2}\)

When placing a trifecta bet in horse racing, you are selecting the first three finishers in the correct order.

A trifecta in horse racing involves selecting the first three finishers in a race in the correct order. To determine whether it involves combinations or permutations, we need to understand the difference between the two.

Combinations and permutations are both methods of counting the number of ways to arrange or select objects. The main difference lies in whether the order of selection or arrangement matters.

In the case of a trifecta, the order of the selected horses does matter. For example, if the winning horses are Horse A, Horse B, and Horse C, selecting them in the order ABC is different from selecting them in the order BAC or CAB.

Therefore, a trifecta involves permutations rather than combinations. Permutations consider the order of the selected objects, while combinations do not.

In summary, when placing a trifecta bet in horse racing, you are selecting the first three finishers in the correct order.

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To determine the equation that represents the inverse function b(a), which returns the length of the other base when the trapezoid's area is given, we need to analyze the given information.Option b is correct.

The equation provided, a(b) - 10.5 + 7, represents the area of the trapezoid as a function of the length of the other base. To find the inverse function, we need to solve this equation for b.

a(b) - 10.5 + 7 = A

a(b) - 3.5 = A

a(b) = A + 3.5

Now, we need to swap the roles of a and b to find the inverse function:

b(a) = A + 3.5

Comparing this with the options provided, we can see that the correct equation is:

B. b(a) = A + 3.5

Therefore, option B represents the inverse function that returns the length of the other base when the trapezoid's area is given.

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Answer:  2.78 Yards, 8.33 ft,

Step-by-step explanation:

Answer:

100 in. = 100 inches, 8 feet 4 inches, or 2.77777777778 yards.

Step-by-step explanation:

Base = ( Volume / Height )

. = 150/ 20 = 7.5 cm

. = 7.5

Then answer is

OPTION D) 7.5 cm

Answer:

615,000

Step-by-step explanation:

Given that:

Whole number rounded to the nearest ten thousand is 620,000

Let x = the whole number

HTh__ TTh ____ Th ____ H ____ T ____ U

6_____ 2 ______ 0 ____ 0 ____ 0 ____ 0

The ten thousand digit is 0 ;

To round to the nearest 10 thousand, the thousand digit is rounded up to 1 and added to the ten thousand digit if it up to 5 or above and rounded down to 0 if below 5 with all subsequent digits(hundred, tens and unit) rounded to Zero..

Hence,

The whole number will could be range between :

615,000 - 619,999

Hence, the least possible value for the number is 615,000.

Answer: That is correct. In a binary tree, each node has at most two child nodes (hence the name "binary"), and the height of the tree is the length of the longest path from the root node to a leaf node.

If the tree has n leaves, then the number of nodes in the tree is at most 2n-1 (since each node can have at most 2 child nodes and there is only one root node), and the height of the tree is log2(2n) = log2n + 1 (since there are 2n nodes at level log2n, and we need to add 1 for the root node).

However, if the tree is not perfectly balanced, it is possible for the height to be slightly larger than log2n + 1. Nonetheless, log2n is still a tight upper bound on the height of a binary tree with n leaves.

Answer:

7-isoceles, 8- equilateral 9-scalene

Step-by-step explanation:

isoceles have 2 identical sides unlike scalene, where all sides have different lengths.

is obtuse and acute I think