The biood plateiet counts of a group of women have a bel-shaped distribution with a mean of 250.5 and a standard deviation of 65.3. (Al units are 1000 ceelsfil. ) Using the empinical nule, find each appraimate percentage below a. What is the approximate percentage of women with platelet counts within 3 standard deviationa of the mean, or between 54.6 and 446.4 ? b. What is the appraximate percentage of women with platelet counss between 119.9 and 381.1 ? a. Approximatsiy 4 of wornen in this group have plaselat counts within 3 standard beviations of the mean, or between 54.6 and 446.4. (Type an integer of a decimal. Do not round)

To solve inequalities with fractions and variables in the denominator, multiply both sides of the inequality by the least common multiple (LCM) of the denominators and solve the resulting equation.

To solve inequalities with fractions and variables in the denominator, follow these steps:

1. Clear the denominator: Multiply both sides of the inequality by the least common multiple (LCM) of the denominators to eliminate the fractions. This step helps in simplifying the inequality.

2. Simplify and combine terms: Distribute and simplify any terms resulting from multiplying through by the LCM. Combine like terms if necessary.

3. Solve as a regular inequality: Treat the resulting inequality as a regular inequality without fractions. Use algebraic techniques to isolate the variable on one side of the inequality sign.

4. Determine the direction of the inequality: Determine the direction of the inequality by considering the signs of any coefficients or variables in the simplified inequality. If the coefficient of the variable is positive, the direction of the inequality remains the same. If the coefficient is negative, the direction of the inequality is reversed.

5. Express the solution: Write the solution as an inequality or as an interval, depending on the context of the problem.

It's important to note that when multiplying both sides of an inequality by a negative number, the direction of the inequality needs to be reversed.

Example: Solve the inequality (3/x) - (2/5) ≥ 1

1. Clear the denominator: Multiply both sides by 5x, which is the LCM of the denominators:

5x * [(3/x) - (2/5)] ≥ 5x * 1

Simplifying, we get:

15 - (2x) ≥ 5x

2. Simplify and combine terms:

15 - 2x ≥ 5x

3. Solve as a regular inequality:

Add 2x to both sides to isolate the variable:

15 ≥ 7x

4. Determine the direction of the inequality:

Since the coefficient of x is positive (7), the direction remains the same.

5. Express the solution:

Divide both sides by 7 to solve for x:

15/7 ≥ x

The solution is x ≤ 15/7.

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Answer:4673

Step-by-step explanation:

Answer:

slope= ( 5,1 ) Y-intercept= ( 0,-7 )

Step-by-step explanation:

The equation of exponential regression that fits the data is given as follows:

y = 1.5(2.5)^x.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

To obtain the equation of exponential regression, we must insert the points of the data-set into a calculator.

The points are given as follows:

(1, 3.75), (4, 9.375), (3, 23.438), (4, 58.594), (5, 146.484).

Inserting these points into a calculator, the equation is given as follows:

y = 1.5(2.5)^x.

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Answer:

the answer is 101 !!!

There's isn't nothing strange your just over thinking it!

Answer:lol

Step-by-step explanation: get trolled

Answer:

519,750

Step-by-step explanation:

I think that's the answer, if it's wrong please let me know

Answer:

YES

Step-by-step explanation:

A² = B² + C²

34²= 16²+30²

:. it's a right angle triangle since it obey Pythagorean theorem

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Answer:

y = 20 degrees.

Step-by-step explanation:

Both base angles are 25 degrees so 5x = 25 giving x = 5.

3y + 70 = 180 - 2(25) = 130

3y = 130 - 70 = 60

y = 60/3 = 20.

Answer:

theres only 1 acute angle the fgl

Step-by-step explanation:

No, there is no commutative property of subtraction for rational numbers. The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers.

The commutative property states that the order of the operands does not affect the result of an operation. For addition and multiplication, the commutative property holds true. However, for subtraction, the order of the operands does matter, and thus, the commutative property does not apply.

Let's consider an example to demonstrate this:

Take the rational numbers 3/4 and 1/2.

If we subtract 3/4 from 1/2, we have: 1/2 - 3/4 = (2/4) - (3/4)

= -1/4.

If we subtract 1/2 from 3/4, we have: 3/4 - 1/2 = (3/4) - (2/4)

= 1/4.

As you can see, the results are different when the order of subtraction is changed, indicating that subtraction does not follow the commutative property for rational numbers.

The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers. Changing the order of subtraction changes the result, making subtraction non-commutative for rational numbers.

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The commutative property does not apply to the operation of subtraction with rational numbers. This is because changing the order of the numbers in a subtraction operation will give a different result.

In mathematics, the commutative property refers to the idea that the order in which numbers are used in an operation does not change the result of that operation. This property holds true for addition and multiplication but, unfortunately, it does not hold true for subtraction and division. For example, in subtraction, if we take two rational numbers such as 5 and 3, 5 - 3 is equal to 2, but 3 - 5 equals to -2. As you can see, changing the order of the numbers gives us different results, demonstrating that there is no commutative property of subtraction for rational numbers.

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what is trigonometry

trigonometry is a very common branch of mathematics the word trigonometry means measurement of side of a triangle this branch of mathematics can be used to find the angle of a triangle knowing its side or to find the ratio of side of triangle knowing its angle

fact

Answer:

Circle and Semi-circle are 2D but not polygons.

Picture to shwo answer:

Answer:

The car will be worth £14,430.27 in 4 years.

Step-by-step explanation:

Average annual value lost: £1,186.37

First year depreciation: £489.00

Total depreciation: £1,869.73

Total depreciation percentage: 11.47%

Value of vehicle at end of ownership period: £14,430.27

HOPE THIS HELPS!!!

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

In statistics, a hypothesis is an assumption about a population parameter. A research question is a question that a research study intends to answer. In research studies, hypotheses and research questions are used to guide the research process and help researchers to focus their attention on specific topics.

The following are examples of potential hypotheses or research questions to relate variables in each of the following examples.
Example 1:
Variables: Gender and job satisfaction
Research Question: Does gender have an impact on job satisfaction?
Hypothesis: Job satisfaction is not dependent on gender.

Example 2:
Variables: Education and income
Research Question: Is there a relationship between education and income?
Hypothesis: There is a positive relationship between education and income.

Example 3:
Variables: Exercise and mental health
Research Question: Does exercise have a positive effect on mental health?
Hypothesis: Exercise is associated with improved mental health.

Example 4:
Variables: Age and technology use
Research Question: Is there a relationship between age and technology use?
Hypothesis: Younger people use technology more than older people.

Example 5:
Variables: Stress and sleep
Research Question: Does stress affect sleep quality?
Hypothesis: Higher levels of stress lead to poorer sleep quality.
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Answer:

two out of 30

30 x 6 = 180

2 x 6 = 12

if 2 out of 30 are defective, and there are 180 total, 12 should be expected to be defective

Step-by-step explanation:

The x-coordinate of the given endpoint will be "\(x = 4 \pm 2\sqrt{29}\)".

According to the question,

The end points are:

Distance,

As we know,

The distance formula,

→ \(Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

By substituting the values, we get

→         \(6\sqrt{6} = \sqrt{(x-4)^2+(9+1)^2}\)

→          \(216= (x-4)^2+100\)

→   \((x-4)^2 = 116\)

→       \(x-4 = \pm \sqrt{116}\)

→       \(x-4=\pm 2\sqrt{29}\)

→             \(x = 4 \pm 2\sqrt{29}\)                

Thus the above answer is right.  

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Answer:

4+2\/29 and 4-2\/29

Step-by-step explanation:

I took the test.

Using the distance formula, the area of the rectangle is: 16 units².

Area of a rectangle = (length)(width).

Given the vertices:

Area = (AB)(BC)

Apply the distance formula, \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\), to find AB and BC:

AB = √[(1−(−3))² + (3−(−1))²]

AB = √[(4)² + (4)²]

AB = √32

BC = √[(1−3)² + (3−1)²]

BC = √[(−2)² + (2)²]

BC = √8

Area = (√32)(√8) = √256

Area = 16 units²

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Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:

Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep

4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3

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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.

To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:

Calculate the circumference of the wheel:

The circumference of a circle is given by the formula

C = 2πr

where r is the radius of the wheel.

In this case, the radius is 30 inches, so the circumference is

C = 2π(30)

   = 60π inches.

Calculate the distance traveled in one revolution:

Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.

Calculate the distance traveled in one minute:

Multiply the distance traveled in one revolution by the number of revolutions per minute.

In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.

Convert the distance to miles per hour:

There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.

Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.

The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.

Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.

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Answer:

Discrete

Step-by-step explanation:

Given the function:

f(x) = 100x + 300

Where ;

x = number of attendees

At least 4 students but no more than 9 students will attend the fieldtrip due to transportation and chaperone restrictions

Range of attendees :

4 ≤ x ≤ 9

Is this a discrete or continuous situation?

It is a discrete because the number of students who will attend the science weekend are finite and countable.

The number of attendees range from:

4, 5, 6, 7, 8 and 9.

The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.

How to find the volume of a rectangular prism and pyramid?

The formula for the volume of a rectangular prism is:

Volume = Length * Width * Height

The formula for the volume of a pyramid is:

Volume = (Base Area * Height) / 3

The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.

This is because the volume of a rectangular prism is calculated by multiplying its three dimensions together, whereas the volume of a pyramid is calculated by multiplying the base area by the height and dividing the result by 3.

Hence, the volume of the rectangular prism is greater than the volume of the pyramid with the same height and base. This is because the rectangular prism has additional volume in the form of its width, which the pyramid does not have.

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A line is said to be flat when it has a small slope, while a line is said to be steep when it has a large slope.

Let's find the slope of both lines.

Apply the slope formula:

• Slope of line A

Take the points:

(x1, y1) ==> (-1, 1)

(x2, y2) ==> (-2, 4)

• Slope of line B

Take the points:

(x1, y1) ==> (4, -1)

(x2, y2) ==> (0, -1)

The slope of line A is -3( negative slope)

The slope of line B is 0

The greater the slope, the steeper the line.

• Since line B has a greater slope than line A, we can say it is steeper.

• Also since Line B is a horizontal line, it is flatter than line A

• The slope of a horizontal line is greater than the slope of a line with a neagtive slope, we can say that line B shifted upward

Thus, we can say:

Line B is flatter, horizontal and shifted upward

ANSWER:

Line B is flatter, horizontal, and shifted upward

Answer:

k=14

Step-by-step explanation:

Answer:

-0.04ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

1/-25

Step-by-step explanation:

First we plug it in

-(-5)^-2

Then since the exponent is negative, we take the equation and put it under one which makes it a positive.

1/-(-5)^2

Then we solve the exponent

1/-(25)

Since it's a negative outside the parenthesis we treat it as multiplying it by -1 in which case we'd get

1/-25

The commission of the agent is 196000

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

Commission percentage = 7%

Earnings = 2.8 million

Using the above as a guide, we have the following:

Commission = 7% * Earnings

Substitute the known values in the above equation, so, we have the following representation

Commission = 7% * 2.8 million

Evaluate

Commission = 196000

Hence, the commission is $196000

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Answer:

-4

Step-by-step explanation:

think of it like this -6+2

Answer:

b =✓45

Step-by-step explanation:

9^2-6^2

√45

b= ✓45

The function does not have a local maximum and the function does not have a local minimum.

Given function:

\($$f(x)=4xe^{2x}-1$$\\\\$First, we'll take the first derivative of the function:$ \\\\$$f(x)=4xe^{2x}-1$$ $$f'(x)=\frac{d}{dx}\left(4xe^{2x}-1\right)$$ $$f'(x)=4e^{2x}+8xe^{2x}$$Now, we'll solve for $f'(x)=0$. $$4e^{2x}+8xe^{2x}=0$$ $$e^{2x}(4+8x)=0$$\)

The expression \($4+8x$\) will never be zero, thus, we have only one critical point when \($e^{2x}=0$\), which is not possible. Therefore, there are no critical points and the function does not have any local maxima or minima.

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Applying the, Intersecting Chords Theorem, the value of x is calculated as: x = 16.

The Intersecting Chords Theorem is a geometric principle that states that when two chords intersect within a circle, the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

Thus, we would apply this theorem to find the value of x in the image given as explained below:

(x - 6)(8) = (x)(5)

8x - 48 = 5x

8x - 5x = 48

3x = 48

Divide both sides by 3

3x/3 = 48/3

x = 16

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The two cubed numbers are 64 and 27

3 x 3 x 3 = 27

4 x 4 x 4 = 64

you take these two numbers and subtract them, making the difference 37

Answer:

a) 48

b) 37

Step-by-step explanation:

a)

okay so the difference between the two square numbers present here

the two square numbers present are -

(multiply 8 twice you'll get 64, same for 16)

so calculating their difference would be easy

= 64 - 16

= 48

b)

now, the difference between two cube numbers

the only cube numbers that exist in this series are 27 and 64 (once again)

(multiply 4 thrice you'll get 64)

now, calculating their difference

= 64 - 27

= 37