what percentage of individuals in the study group had an ldl level below 100 mg/dl? (hint: add the percentages for the relevant bars.) mastering

Answer:

Step-by-step explanation:

Yes it is because if the amount of Pavers change so does the cost.

A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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Answer:

x = 200

Step-by-step explanation:

substitute y = 15 into the equation

\(\frac{1}{5}\) x - (\(\frac{2}{3}\) × 15) = 30

\(\frac{1}{5}\) x - 10 = 30 ( add 10 to both sides )

\(\frac{1}{5}\) x = 40 ( multiply both sides by 5 to clear the fraction )

x = 5 × 40 = 200

Answer:

1.901

Step-by-step explanation:

Check picture above

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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The rule of obtuse angle is that one angle measures more than 90° and total sum og angle should be 180°.

Acute, obtuse, right, straight, reflex, and complete rotation are some of the terms used to describe fundamental angles. Two rays are joined at their termini to form the geometric shape known as an angle. The most common way to express an angle is in degrees.

A measure of an angle or the amount of turning required to bring one line or plane into coincidence with or parallel to another angled is represented by two lines extending from the same point.

A triangle is said to have an obtuse angle if one of the inner angles is greater than 90 degrees. If one of the angles of an obtuse triangle is greater than 90°, then the total of the other two angles is also less than 90°.

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The change in electric potential energy of an alpha particle is:

1.3V/cm

"Information available from the question"

In a region where there is a uniform electric field, the potential, v1, is 1. 3 v at position y1=26 cm.

At position y2=28 cm , the potential, v2, is 3. 9 v.

Now, According to the question:

Calculation of magnitude:

Since  V1 is 1.3 V at position y1=26 cm. At position y2=28 cm, the potential, V2, is 3.9 V

So, We know that

\(E =\frac{V_2-V_1}{Y_2-Y_1}\)

\(E=\frac{3.9-1.3}{28-26}\)

\(E=\frac{2.6}{2}\)

E = 1.3V/cm

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The probability that neither roll is odd is 1/4.

When a pair of dice are rolled, each die can show an odd or even number, and there are a total of 36 possible outcomes (6 x 6) since each die has six possible outcomes.

There are 18 combinations of two dice that do not include an odd number (even-even), and so the probability of rolling an even number is 18/36  = 1/2.

Each die has the same probability of rolling an even or odd number, and so the probability of rolling an even number twice in a row (neither roll is odd) is

\((1/2)^2\) = 1/4.

Therefore, the probability of rolling a six-sided die twice in a row and not getting an odd number is 1/4 (25%).

Let E be the event of rolling an even number, and N be the event of rolling a number.

We need to find P(N'∩N')

i.e. the probability that the first roll is even and the second roll is even.

P(N') = 3/6P(N'∩N')

= P(N') * P(N')

= 3/6 x 3/6

= 9/36

= 1/4

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At x equals -5 and x equals 3 our function is discontinuous.

We have been given a rational function:

f(x) = \(\frac{x^{2}+7x+1 }{x^{2} +2x-15}\)

We are asked to find the points at which our function is discontinuous.

A rational function is discontinuous when the function is undefined or the denominator is zero.

Let us find what values of x will make our denominator zero.

\(x^{2} +2x-15=0\)

We will use factoring to find the zeros of x. By splitting the middle term we will get,

\(x^{2} + 5x - 3x -15=0\\\\x(x+5)-3(x+5)=0\)

(x +5)(x - 3) = 0

x = -5 and x = 3

Therefore, at x equals -5 and x equals 3 our function is discontinuous.

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Change in concentration = c(5/6) - c(2/3). To estimate the change in concentration (C) in mg/ml of a certain drug in a person's bloodstream when t changes from 40 to 50 minutes,

we will use the given model: c(t) = 2t / (3 + e^(-0.01t)).

First, let's convert the time from minutes to hours since the model uses hours:
40 minutes = 40/60 = 2/3 hours
50 minutes = 50/60 = 5/6 hours
Next, we will calculate the concentration at these times using the model:
1. For t = 2/3 hours:
c(2/3) = 2(2/3) / (3 + e^(-0.01(2/3)))

2. For t = 5/6 hours:
c(5/6) = 2(5/6) / (3 + e^(-0.01(5/6)))
Now, estimate the change in concentration by subtracting the concentrations at these two times:
Change in concentration = c(5/6) - c(2/3)

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Answer:

Height = 7

Step-by-step explanation:

35*2

70

70/10

7

Answer:

The answer is 36

Step-by-step explanation:

=16-4(-5)

=16-(-20)

=36

Answer:

271000

Step-by-step explanation:

Answer: 300,000

Step-by-step explanation:

To create an open box with a desired volume, given an initial area of 240 square centimeters, we need to determine the size of the original cardboard.

Let's assume the dimensions of the original rectangular piece of cardboard are length L and width W. When we cut 2-centimeter squares from each corner and fold up the sides, the resulting box will have dimensions (L - 4) and (W - 4), with a height of 2 cm. Therefore, the volume of the box can be expressed as V = (L - 4)(W - 4)(2).

Given that the volume is 264 cubic centimeters, we have (L - 4)(W - 4)(2) = 264. Additionally, we know that the area of the cardboard is 240 square centimeters, so we have L * W = 240.

By solving this system of equations, we can find the dimensions of the original cardboard, which will determine the size required.

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Answer:

x = -3

Step-by-step explanation:

4x + 2 =  x - 7

3x = -9

x = -3

The inverse of the matrix [2 3; 2 4] is [2 -3/2; -1 1]. If the determinant is non-zero, then the matrix has an inverse. If the determinant is zero, the matrix does not have an inverse.

To determine if a matrix has an inverse, we need to calculate its determinant. Let's find the determinant of the matrix [2 3; 2 4]:
The determinant is calculated as:

(2*4) - (3*2) = 8 - 6

                  = 2
Since the determinant is non-zero (2 is not equal to 0), the matrix [2 3; 2 4] does have an inverse.

To find the inverse, we can use the formula:
Inverse Matrix = (1/determinant) * adjoint matrix

The adjoint matrix is obtained by swapping the diagonal elements and changing the sign of the off-diagonal elements. In this case, the adjoint matrix is [4 -3; -2 2].

Now, we can calculate the inverse matrix:
Inverse Matrix = (1/2) * [4 -3; -2 2]
                        = [2 -3/2; -1 1]

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Amy is left with 60% of the money she had initially.

Let's break down the problem step by step:

Amy had $80 to spend on a filter.

She spent 20% of the money on a filter, which is 0.20 * $80 = $16.

After purchasing the filter, she paid $16 to a plumber to install it.

So far, Amy has spent a total of $16 + $16 = $32.

To find out how much money Amy is left with, we subtract the amount she has spent from the initial amount she had:

$80 - $32 = $48

Amy is left with $48.

To determine the percentage of the money she is left with, we can calculate what portion of the initial amount she still has:

($48 / $80) * 100 = 60%

Therefore, Amy is left with 60% of the money she had initially.

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We have to pull 9 marbles from the box to label the box correctly.

Given, three boxes with 10 marbles each can be black or white.

1 box has 10 black marbles, 1 box has 10 white marbles, and 1 box has mixed marbles, could be 1:9 or 5:5, 4:6, etc.

also all the boxes are labeled incorrectly.

we have to find the number of marbles we have to pull to correctly determine the proper labelling for the boxes.

as the box contain 10 marbles, and box contains mixed marbles

so, we have to pull 9 marbles to correctly label the box.

as, we have to check the 9 marbles.

Hence, we have to pull 9 marbles from the box to label the box correctly.

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Answer: 20 PURPLE marbels

Step-by-step explanation:

no explanation

Answer:

the is 200 purple marbles 70 red marbles

Answer:

F

Step-by-step explanation:

F. False. The graph of \(g\) involved performing a horizontal compression on the graph of \(f\).

G. True. Setting \(x=0\) yields \(g(0)=f(0)\).

H. True. Set \(x=-1\).

J. True. The horizontal compression does not change the number of their roots, just the location.

The $1314^\text{th}$ digit past the decimal point is 2.

To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.

The long division of $\frac{5}{14}$ is as follows:

```

0.35    <-- Quotient

-----

14 | 5.00

   4.2    <-- Subtract: 5 - (14 * 0.3)

   -----

     80   <-- Bring down the 0

     70    <-- Subtract: 80 - (14 * 5)

     -----

     100   <-- Bring down the 0

      98    <-- Subtract: 100 - (14 * 7)

      -----

       20   <-- Bring down the 0

       14    <-- Subtract: 20 - (14 * 1)

       -----

        60   <-- Bring down the 0

        56    <-- Subtract: 60 - (14 * 4)

        -----

         40   <-- Bring down the 0

         28    <-- Subtract: 40 - (14 * 2)

         -----

         120   <-- Bring down the 0

         112    <-- Subtract: 120 - (14 * 8)

         -----

           80   <-- Bring down the 0

           70    <-- Subtract: 80 - (14 * 5)

           -----

           ...

```

We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.

Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.

So, the $1314^\text{th}$ digit past the decimal point is 2.

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The required area of the triangle is approximately 36.05 square meters.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,

We can use the formula for the area of a triangle, which is:

A = 1/2 * base * height

In this case, we don't know the height of the triangle, but we can use the given information to find it. We can use the trigonometric function tangent to calculate the height:

tan(25°) = opposite / adjacent

tan(25°) = h / 12

where h is the height we're looking for.

Multiplying both sides by 12, we get:

h = 12 * tan(25°)

h ≈ 5.15 meters

Now that we know the height, we can use the formula for the area of the triangle:

A = 1/2 * base * height

A = 1/2 * 14 * 5.15

A ≈ 36.05 square meters

Therefore, the area of the triangle is approximately 36.05 square meters.

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Step-by-step explanation:

only limited sense.

first of all, directly it does not make any sense. we can only send integer number of students on a field trip. not half-persons.

therefore, 29.5 students for a single field trip calculation does not make sense.

but : we could want to use the same function to calculate or analyze the costs of multiple field trips by using things like mean values of students participating. there fractions as student numbers make sense.

The volume of the hemisphere shaped Igloo is V = 549 meters³

Given data ,

The volume of a hemisphere can be calculated using the formula:

V = (2/3) π r³

Given that the radius of the hemisphere is 6.4 m, we can substitute this value into the formula:

V = (2/3) x π x (6.4)³

On simplifying , we get:

V = 174.762666 ( π )

V ≈ 549.033 meters³

Therefore , the value of V is V = 549.033 meters³

Rounding to the nearest tenth, the volume of the hemisphere is approximately 549 meters³

Hence , the volume of igloo is V = 549 meters³

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Answer:

Step-by-step explanation:

Answer:4/3

Answer:

The tangent of the larger acute angle in a right triangle with side lengths 10, 24, and 26 is 12/5.

Step-by-step explanation:

In a right triangle, the hypotenuse (the side opposite the right angle) is the longest side.

Therefore, in a right triangle with side lengths 10, 24, and 26, the hypotenuse measures 26 units and the legs measure 10 and 24 units.

In a right triangle:

Therefore, the largest acute angle is between the hypotenuse and the shortest leg, which means the side opposite the angle is the longest leg.

The tangent ratio is the ratio of the side opposite the angle to the side adjacent the angle.

Therefore the tangent of the largest acute angle is:

\(\implies \sf \dfrac{O}{A}=\dfrac{24}{10}=\dfrac{12}{5}\)

Answer: D. She is above 11.5% of test takers

Step-by-step explanation:

So logically we can eliminate like 3 answers and let me explain why

So first we can eliminate both A and B because the question asks "Does this score place Sheila in the bottom 10% of test takers?" If the answer were yes she wouldn't be "above 8.5%" or "above 11.5%" because she would be below.

So that would leave both C and D right. Lets look at C first. It says "No, she is above 8.5% of test takers" But if she is above 8.5% she could hypothetically be in the 9% or the 9.5% of test takers. Since this answer doesn't gurantee she would be above 10% we can't choose it. Now D it says "No, she is above 11.5% of test takers" This is correct because She is not in the bottom 10% because according to the empirical rule she is I would say around or just under 16% of test takers. Also the 11.5% part gurantees that anything above the number 11.5 is greater than 10%. Unlike in C which only says the number is greater than 8.5 which means the number could be 8.6 which is NOT greater than 10.

The sign before the blank is "+" (Example: +300). (b) The value of the portfolio with European put options increases as the stock price decreases, providing a protective benefit to the overall portfolio.

The sign before the blank is "+" (Example: +300).

(b) The value of the portfolio with European put options increases as the stock price decreases. The put options provide a protective benefit to the portfolio, as they allow the holder to sell the stock at a predetermined price (strike price).

When the stock price is below the strike price, the put options become valuable as they enable the investor to sell the stock at a higher price than the market value. However, if the stock price is above the strike price, the put options have no value and do not contribute to the portfolio's overall worth.

Therefore, the benefit of the put options is realized when the stock price is below the strike price, and it diminishes as the stock price rises above the strike price.

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