The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of and a standard deviation of . ​(All units are 1000 ​cells/​L.) Using the empirical​ rule, find each approximate percentage below.
a. What is the approximate percentage of women with platelet counts within standard of the​ mean, or between and ​?
b. What is the approximate percentage of women with platelet counts between and ​?

The equation that has a constant rate of change of 25 is

25x = y

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

A)

x + 25 = y

When x = 1, y = 26

When x = 2, y = 27

The constant rate of change.

= (27 - 26)/(2 - 1) = 1/1 = 1

B)

25x = y

When x = 1, y = 25

When x = 2, y = 50

The constant rate of change.

= (50 - 25)/(2 - 1) = 25/1 = 25

C)

x - y = 25

When x = 1, y = -24

When x = 2, y = -23

The constant rate of change.

= (-23 + 24)/(2 - 1) = 1/1 = 1

D)

5x = y

When x = 1, y = 5

When x = 2, y = 10

The constant rate of change.

= (10 - 5)/(2 - 1) = 5/1 = 5

Thus,

25x = y has a constant rate of change of 25.

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Complete Question

The complete question is shown on the first uploaded image

Answer:

Using 2SD Method

The confidence interval is

     The interval notation :  [tex](0.108 ,  0.212 )[/tex]

     The interval notation and the sample proportion ± the margin of error

     notation:[tex]0.16 \pm  0.052[/tex]

 The  interpretation

    There is  95% confidence that the true proportion of those that dislike  cilantro lie within the upper(0.212) and the lower(0.108) limit of the calculate confidence interval

Using theory-based method      

      The 95% confidence interval is

            The interval notation :   [tex](0.109 ,  0.211 )[/tex]

     The interval notation and the sample proportion ± the margin of error

     notation:[tex]0.16 \pm  0.051[/tex]

 The  interpretation

      There is  95% confidence that the true proportion of those that dislike  cilantro lie within the upper(0.211) and the lower(0.109) limit of the calculate confidence interval

Using theory-based method  

 The 88% confidence interval is  

         The interval notation :   [tex](0.120 ,  0.200 )[/tex]

          The interval notation and the sample proportion ± the margin of

           error notation:   [tex]0.16 \pm 0.040[/tex]

The interpretation is

  There is  88% confidence that the true proportion of those that dislike  cilantro lie within the upper(0.200 ) and the lower(0.120) limit of the calculate confidence interval.

Step-by-step explanation:

From the question we are told that

The number sample size is n = 200

The number of people that dislike cilantro is k = 32

Generally the sample proportion is mathematically represented as

[tex]\r p = \frac{k}{N}[/tex]

=> [tex]\r p = \frac{32}{200}[/tex]

=> [tex]\r p = 0.16[/tex]

Generally 2SD confidence interval is mathematically represented as

[tex]\r p \pm 2\sqrt{\frac{\r p(1 - \r p)}{n} }[/tex]

substituting value

[tex]0.16 \pm 2\sqrt{\frac{0.16(1 - 0.16)}{200} }[/tex]

=> [tex]0.16 \pm 0.052[/tex]

This can also be represented as

[tex](0.16 - 0.052 , 0.06 + 0.052)[/tex]

=> [tex](0.108 , 0.212 )[/tex]

Generally this confidence interval can be interpreted as

There is 95% confidence that the true proportion of those that dislike cilantro lie within the upper and the lower limit of the calculate confidence interval

Using theory-based method estimate 95% confidence interval

Generally from the question the confidence level is 95% hence the level of significance is calculated as

[tex]\alpha = (100 - 95)\%[/tex]

=> [tex]\alpha = 0.05[/tex]

The critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table is

[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

Generally the confidence level using theory base method is

[tex]0.16 \pm 1.96 \sqrt{\frac{0.16 (1- 0.16)}{200} }[/tex]

=>     [tex]0.16 \pm 0.051[/tex]

This can also be represented as

[tex](0.16 - 0.051 , 0.06 + 0.051)[/tex]

=> [tex](0.109 , 0.211 )[/tex]

Generally this confidence interval can be interpreted as

There is 95% confidence that the true proportion of those that dislike cilantro lie within the upper(0.211) and the lower(0.109) limit of the calculate confidence interval

Using theory-based method estimate 88% confidence interval

Generally from the question the confidence level is 95% hence the level of significance is calculated as

[tex]\alpha = (100 - 88)\%[/tex]

=> [tex]\alpha = 0.12[/tex]

The critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table is

[tex]Z_{\frac{\alpha }{2} } =Z_{\frac{0.12 }{2} } = 1.55[/tex]

Generally the confidence level using theory base method is

[tex]0.16 \pm 1.55 \sqrt{\frac{0.16 (1- 0.16)}{200} }[/tex]

=>     [tex]0.16 \pm 0.040[/tex]

This can also be represented as

[tex](0.16 - 0.040 , 0.06 + 0.040)[/tex]

=> [tex](0.120 , 0.200 )[/tex]

Generally this confidence interval can be interpreted as

There is 88% confidence that the true proportion of those that dislike cilantro lie within the upper(0.200 ) and the lower(0.120) limit of the calculate confidence interval

Answer:

Step-by-step explanation:

Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.

15 inches by 11 inches

6 inches by 3 inches

18

6 inches by 2 inches

12

16 inches by 8 inches

10 inches by 5 inches

15 inches by 7.5 inches

10 inches by 6 inches

Answer:

-5/9x+47/9=y

Step-by-step explanation:

Answer:

39.85

Step-by-step explanation:

40 3/5 - 3/4

Find a LCF first:

5*4 = 20

4*5 = 20

The LCF is 20.

40 12/20 - 15/20

812/20 - 15/20

797/20

39.85

Hey there!☺

[tex]Answer:\boxed{39\frac{17}{20}}[/tex]

[tex]Explanation:[/tex]

[tex]40\frac{3}{5}-\frac{3}{4}[/tex]

Evaluate the expression:

[tex]40\frac{3}{5}-\frac{3}{4}=\frac{797}{20}[/tex]

We're not complete because we need to simplify the fraction 797/20:

[tex]\frac{797}{20}=39\frac{17}{20}[/tex]

Hope this helps!☺

Step-by-step explanation:

6n+n=56. (combine like terms)

7n = 56

÷7. ÷7. (divide both sides, isolate variable)

n. = 8 (rabbit weight)

56-8. =48 (dog weight) or 8x6=48 (6 x rabbit weight)

Answer:

9/10 or 90/100

Step-by-step explanation:

The well done burgers were out of 100 and the percentage is 90

Answer: MAD= 3

Step-by-step explanation:

Find the mean of the data set

31+24+32+28+29+36/6= 30

subtract EACH data by the mean, find the absolute value of the answer

31-30= 1 (absolute value)

24-30= 6 (absolute value)

32-30= 2 (absolute value)

28-30= 2 (absolute value)

29-30= 1 (absolute value)

36-30= 6 (absolute value)

Now find the mean of the values

1+6+2+2+1+6/6=3

MAD=3

Answer:

parallel lines have the same slopes

Answer:

I really don't know lol

Step-by-step explanation:

Can you mark me brainliest please :p

Answer:

So that they can get points lol haha

Step-by-step explanation:

Because I know hahaha.

Answer:

1 is your remainder

Step-by-step explanation:

I just the test

Answer:

1

Step-by-step explanation:

i took the test :)

Answer:

[tex]a = 40600(1 + \frac{0.009}{1} ) {}^{10} = 40600 \times 1.0937 = 44405.6[/tex]

Answer:

7,009

Step-by-step explanation:

x = 20

Hi there !

we have opposite angles =>

2 + 3x = 62

3x = 62 - 2

3x = 60

x = 60 : 3

x = 20

Good luck !

Answer:

1, 2, 3, 6

Step-by-step explanation:

1*6=6 and 2*3=6

Answer:

The factors of 6 are...1,2,3, and 6

Answer:

7p - 3

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

55-59 > 4(7-9)

Simplify 55-59: -4

Simplify again for 4(7-9): -8

Therefore,

-4> -8 The solution is true.  

Answer:

is 2 because 4 plus 3 equals 7 and c equals 3

The mathematical expression of the give algebraic expression is,

⇒ (c - 7) / 4

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

'' The quotient of 7 subtracted from a number, c, and 4''.

Now,

Here, The algebraic expression is,

'' The quotient of 7 subtracted from a number, c, and 4''.

So, We can formulate;

''7 subtracted from a number c'' means that;

= c - 7

So, 'The quotient of 7 subtracted from a number, c, and 4' is written as;

⇒ (c - 7) / 4

Thus, The mathematical expression of the give algebraic expression is,

⇒ (c - 7) / 4

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Answer: 7 x 3 = 21

Step-by-step explanation:

The solution for the given equation is x=5.

The given equation is 7x - 14 = 21.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here,

7x - 14 = 21

⇒ 7x=35

⇒ x=35/7

⇒ x=5

Therefore, the solution for the given equation is x=5.

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Answer:

yes

Step-by-step explanation:

you didn't provide a question

Answer:

it is 0.5

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

quick maths

Step-by-step explanation:

-17x = -32 - x

Collect like terms

-17x + x= -32

-16x = -32

Divide both sides by -16

X = 2

Answer:

Step-by-step explanation:

[tex] \frac{32}{ \sqrt[8]{16} } \\ [/tex]

Simplify

[tex] \frac{32}{1.414213562} \\ \\ = 22.627417[/tex]

Method 2 :

By rationalizing the denominator

Answer:

(about) 11.18034

Step-by-step explanation:

Use the distance formula to find the distance:

d = sqr (x2 - x1) + (y2 - y1)

Fill in the variables with what you know:

d = sqr ((6 - (-4)) + (2 - (-3)))

(Honestly it doesn't matter what order you put the x and y, as long as x2 and y2 make up the coordinates of one point and x1 and y1 make up the coordinates of the other)

 = sqr ((6 + 4)^2 + (2 +3)^2)

 = sqr ((10)^2 + (5)^2)

 = sqr (100 + 25)

 = sqr (125)

 = (about) 11.1803

Answer:

it's false; dilating a triangle won't change the angles

Step-by-step explanation:

Answer:

The points that are 10 units from P(-17,-2) are (-23,6) and (-11,6)

Step-by-step explanation:

Distance Between Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]

It can be also expressed as:

[tex]d^2=(z-y)^2+(w-x)^2[/tex]

Substituting the values of both points, and knowing the distance is 10:

[tex]10^2=(6-(-2))^2+(x+17)^2[/tex]

[tex]100=8^2+(x+17)^2[/tex]

Swapping both sides:

[tex]64+(x+17)^2=100[/tex]

Moving the constants to the right side:

[tex](x+17)^2=100-64=36[/tex]

Taking the square root:

[tex]x+17=\pm 6[/tex]

We get two possible answers:

[tex]x=-17-6=-23[/tex]

[tex]x=-17+6=-11[/tex]

Thus the points that are 10 units from the point P(-17,-2) are (-23,6) and (-11,6)

The final parametric equations describing the plane's motion are:

x(t) = 0 + (425 km - 0) * t = 425t

y(t) = 0 + (736.6 km - 0) * t = 736.6t

z(t) = 1650 meters

where t varies from 0 to 1.36 hours.

Let's set up a coordinate system with the origin at sea level beneath Denver.

We'll use the x-axis to point east, the y-axis to point north, and the z-axis to point upward.

The plane starts directly above Denver at an altitude of 1650 meters.

We can represent this as the initial point P₀(0, 0, 1650).

The plane then flies to Bismark, which is about 850 km in the direction 60° north of east from Denver.

Let's represent the position of Bismark as the point P₁(x, y, z), where x and y are the horizontal displacements (east and north, respectively), and z is the altitude above sea level.

Since the plane flies at a constant height of 7500 meters above the line joining Denver and Bismark, the altitude z remains constant at 7500 meters.

Let's calculate the horizontal displacements x and y:

The eastward displacement x can be found using the cosine of the angle (60°) and the distance to Bismark (850 km):

x = 850 km * cos(60°) ≈ 425 km

The northward displacement y can be found using the sine of the angle (60°) and the distance to Bismark (850 km):

y = 850 km * sin(60°) ≈ 736.6 km

Now, we can write the parametric equations for the plane's motion:

x(t) = x₀ + (x₁ - x₀) * t

y(t) = y₀ + (y₁ - y₀) * t

z(t) = z

where:

x₀ = 0 (initial x-coordinate at Denver)

y₀ = 0 (initial y-coordinate at Denver)

z = 1650 meters (altitude above sea level at Denver)

x₁ = 425 km (x-coordinate at Bismark)

y₁ = 736.6 km (y-coordinate at Bismark)

The parameter t represents the time in hours.

The plane's motion is constant, so t will vary from 0 to the time it takes to travel from Denver to Bismark at a speed of 625 km/hour.

To find the time it takes, we can use the distance formula:

Distance = Speed * Time

850 km = 625 km/hour * Time

Time = 850 km / 625 km/hour ≈ 1.36 hours

A plane directly above Denver, Colorado, (altitude 1650 meters) flies to Bismark, North Dakota (altitude 550 meters).

It travels at 625 km/hour at a constant height of 7500 meters above the line joining Denver and Bismark. Bismark is about 850 km in the direction 60∘ north of east from Denver.

Assume the origin is at sea level beneath Denver, that the x-axis points east and the y-axis points north, and that the earth is flat. Measure distances in kilometers and time in hours.

So, the time it takes for the plane to travel from Denver to Bismark is approximately 1.36 hours.

The final parametric equations describing the plane's motion are:

x(t) = 0 + (425 km - 0) * t = 425t

y(t) = 0 + (736.6 km - 0) * t = 736.6t

z(t) = 1650 meters

where t varies from 0 to 1.36 hours.

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