The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 253.1 and a standarddeviation of 84. 3. (All units are 1000 cells/pL.) Using the empirical rule, find each approximate percentage below.• What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, orbetween 124.5 and 381.77b. What is the approximate percentage of women with platelet counts between 188.8 and 317.47

Answer: C. decreased . . . increase.

As technology is advancing it requires less time and effort to do almost anything. So for tranportation as well i think it will take less time to do it. Thus logically people would want to trade more because the transport goods take less time. I guess?

Answer:

C

Step-by-step explanation:

Cumulative Exam 2021

Merry Christmas <3

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a value of -0.40 would indicate a moderate negative correlation.

The correlation for a scatter plot describes the strength and direction of the linear relationship between two variables. A negative correlation means that as one variable increases, the other variable decreases, and a positive correlation means that as one variable increases, the other variable also increases.

If the data points in the scatter plot are widely scattered around a line that slopes down to the right, this indicates a negative correlation between the two variables. In this case, the value that would be closest to the correlation would be a. -0.40. This is because the correlation values range from -1 to 1, with -1 indicating a strong negative correlation and +1 indicating a strong positive correlation.

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The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).

Answer: 2a < 2b

Step-by-step explanation:

We are given a statement:

a < b and b < c, then 2a ____ 2b

We can use simple numbers that make the statement true.

Where,

a = 2

b = 3

c = 4

Now lets plug it in.

2 < 3 and 3 < 4, then 2(2) ____ 2(3)

and lets simplify:

2 < 3 and 3 < 4, then 4 ____ 6

We can see that 4 is less than 6,

so as a is less than b, 2a is less than 2b.

The only thing changing is the coefficient being multiplied by the variables a and b.

Answer:

170°

Step-by-step explanation:

180 - 10 = 170

The scatter plot shows a [positive linear] association.

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

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, the association is a positive linear association.

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Answer:

Los números son 23 y 35.

Step-by-step explanation:

Q: The sum of two numbers is 58. If one of the numbers is 12 more than the other number, what are the numbers?

Set the numbers as x and y. Using the given information, we have two equations:

x+y=58

x=y+12

Solving using substitution, we have:

y+y+12=58 -> y=23

Substituting, x=23+12=35

The numbers are 23 and 35.

Answer:

x=24

Step-by-step explanation:

if x is 24 in x/3, that would give us 24/3 or 8.

8-2=6 :)

Answer:

f(6) = -8  

g(-3) = 59

Step-by-step explanation:

Read other responses on other answered questions. Comment below if you'd like a detailed explanation.

8,000 each three months the population is doubled so i figured that each three months there are 2000 more worms i multiplied 3 by 4 Because 3 x 4 is 12 and a year is 12 months, and got 8,000 by multiplying 2,000 by 4. Hope this helps

Answer:

A) Slope =

\(m = \frac{1}{4} x\)

explanation:

Take 2 random points off the line, I used (4,1) & (8,2)

The formula to find the slope when given 2 points is

\(m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} \)

so in this case x1 & y1 are assigned to (4,1)

and x2 & y2 are assigned to (8,2)

so substitute the numbers into the formula and solve !

\( m= \frac{y2 - y1}{x2 - x1} = \frac{2 - 1}{8 - 4} = \frac{1}{4} \)

this will result in the answer I got above!!

B) yes it does show a constant rate of change cause it's increasing in 1/4x intervals

C) just because you move the placement of a line on the graph doesn't mean it's going to effect the slope as long as the numbers on the axis don't change!!

To earn an average score of 90, the score on the fourth test needs to be 98.

The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data.

Given the score of the first three tests as:

91, 84, 87.

The average is given by the following formula:

Average = Sum of scores ÷ total number of tests

Let us suppose the score of fourth test as x.

Given that A = 90:

90 = (91 + 84 + 87 + x) ÷ 4

x = 98

Hence, the score on the fourth test must be equal to 98, to get an average score of 90.

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Answer:

Step-by-step explanation:

Given

Equations

Answer: The profit function P(x) can be found by subtracting the cost function C(x) from the revenue function R(x), so:

P(x) = R(x) - C(x) = (-0.5(x-80)^2 + 3,200) - (30x + 200)

The domain of P(x) is the set of all possible values of x for which the profit calculation makes sense. In this case, the company has a maximum capacity of 130 items, so the domain of P(x) is 0 <= x <= 130.

To calculate the profit when producing 50 items and 60 items, we simply plug in these values for x in the profit function:

Profit when producing 50 items = P(50) = (-0.5(50-80)^2 + 3,200) - (30 * 50 + 200) = $2350

Profit when producing 60 items = P(60) = (-0.5(60-80)^2 + 3,200) - (30 * 60 + 200) = $2280

Since the profit is higher for producing 50 items, the company should choose to produce 50 items.

From our model, we can see that as the production increases, the cost also increases linearly with a slope of 30, while the revenue increases parabolically but with a negative slope, meaning that after reaching a certain point, the increase in revenue becomes slower compared to the increase in cost. This is why the profit decreases as the production increases, and therefore the company makes less profit when producing 10 more units.

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf -16}\)

Step-by-step explanation:

Parallel lines always have a same slope. So, The slope of a line parallel to a line with a slope of -16 will also be -16.

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

Answer:

DC ≈ 26.1 cm(3 significant figures)

Step-by-step explanation:

The sum of interior angles of a quadrilateral is equals to 360 degree. For a regular quadrilateral, each angle is equals to 90 degree.

BDC is a triangle and angles in a triangle sum up to 180° . Therefore, to find ∠BDC

180 - 102° + 52°  = ∠BDC

180 - 154 = 26°

∠BDC = 26°

Angle ABD can be found same way since sum of interior angles in a triangle is 180°.

∠ABD  = 180 - 90 - 35

∠ABD = 55°

Side BD can be find as follows

sin 35° = opposite/hypotenuse

sin 35° = 12/BD

BD sin 35° = 12

BD = 12/sin 35°

BD = 12/0.57357643635

BD = 20.9213615475

BD ≈ 21 cm

Using sine formula we can find side CD

21/sin 52° = DC/sin 102°

DC sin 52° = 21 sin 102°

DC = 21 sin 102°/sin 52°

DC = 0.97814760073  × 21/0.7880107536

DC = 20.5410996154 /0.7880107536

DC = 26.0670295696

DC ≈ 26.1 cm(3 significant figures)

The equation is -8(6x - 12) + 4 = -10 (x + 8) + 408

Let us simplify each side at first

-8(6x - 12) + 4

We will multiply the bracket by -8

(-8)(6x) + (-8)(-12) + 4 = -48 x + 96 + 4

Add the like terms 96 + 4

The left side is -48 x + 100

-10(x + 8) + 408 = (-10)(x) + (-10)(8) + 408 = -10x - 80 + 408

Add the like terms -80 + 408

The right side is -10x + 328

So the equation after simplifying is

-48 x + 100 = -10 x + 328

Add 10x to both sides

-48 x + 10 x + 100 = -10 x + 10 x + 328

-38 x + 100 = 328

Subtract 100 from both sides

-38 x + 100 - 100 = 328 - 100

-38 x = 228

Divide both sides by -38 to get x

The solution of the equation is - 6

You can check the answer by substituting the value of x in each side the two sides must be equal

Answer:

b

Step-by-step explanation:

because if you look at it the x-coordinate is -6 and the y-coordinate is positive 4

Answer:

B: y ≥ 2r-4.

Step-by-step explanation:

To solve for y, we need to isolate y on one side of the inequality. First, we can simplify the left side of the inequality by dividing both sides by 2:

2x - y ≤ 4

Then, we can subtract 2x from both sides to get:

-y ≤ -2x + 4

Finally, we need to isolate y by multiplying both sides by -1 and flipping the direction of the inequality:

y ≥ 2x - 4

Now we can see that the equivalent inequality is option B: y ≥ 2r-4.

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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Step-by-step explanation:

NOT rolling a four means out of six posssible rols you can roll a 1.2.3.5 or 6

 or      5 / 6

We want to find \(x\) such that

\(\mathrm{Pr}(X \le x) = 0.81\)

where \(X\) is the random variable for test scores, and \(X\sim\mathrm{Normal}(63,9.3^2)\).

Transform \(X\) to \(Z\sim\mathrm{Normal}(0,1)\) using the relation

\(X = \mu + \sigma Z \implies Z = \drac{X-63}{9.3}\)

so that

\(\mathrm{Pr}(X \le x) = \mathrm{Pr}\left(\dfrac{X-63}{9.3} \le \dfrac{x-63}{9.3}\right) = \mathrm{Pr}\left(Z \le \dfrac{x-63}{9.3}\right) = 0.81\)

Applying the inverse CDF of \(Z\) (denoted by \(\Phi^{-1}\)), we have

\(\dfrac{x-63}{9.3} = \Phi^{-1}(0.81) \approx 0.8779\)

Solve for \(x\).

\(\dfrac{x-63}{9.3} \approx 0.8779\)

\(x-63 \approx 8.1644\)

\(x \approx 76.1644\)

Then the cutoff test score for the 81% percentile is \(P_{81} \approx \boxed{76}\).

The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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Answer:

I believe this should be it,

Step-by-step explanation:

344.8572

Answer: it says that if two different paths connect the same two points.

Step-by-step explanation:

It says that is two different paths connect the same two points, and a function holomorphic everywhere in between the two paths, then the two path integrals of the functions will be same.

Answer:

B

Step-by-step explanation:

substitution because

if m∠3=m∠7, and m∠7=m∠6 you can substitute

m∠7 to m∠3 and get m∠3=m∠6

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

The area of the shaded region is  104 cm²

First, we need to know that the area of a circle is calculated using the formula;

A = πr²

Such that the parameters of the formula are;

First, let us find the area of the small circle

Area = 3.14 × 4²

Find the square value and multiply, we have;

Area = 50.24cm²

Area of the large circle = 3.14 × 7²

Find the square value and multiply

Area = 153. 86cm²

Area of the shaded region = Area of large circle - area of small circle

= 153.86 - 50.24

= 104 cm²

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