A random sample of 49 people are selected from a population and it is found that 12 people in the sample are over six feet tall. what is the best point estimate of the proportion of people in the population who are over 6 feet tall? write your answer as a decimal using the appropriate rounding rule.

The two ways to generate fractions equivalent to a given fraction include:

A Multiply the numerator by a nonzero number or divide the denominator by a nonzero number.

B..Multiply or divide the numerator and denominator by the same nonzero number.

It should be noted that equivalent fractions simply means the fractions that are the same when reduced to their lowest terms.

It should be noted that multiplying the numerator by a nonzero number or divide the denominator by a nonzero number as.also.doung the same for the numerator and denominator by the same nonzero number will given an equivalent fraction.

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Answer:

c = (y + bd) / b

Step-by-step explanation:

Use the distributive property to open the parentheses.

b(c - d) = y

bc - bd = y

Move the bd to the other side

bc = y + bd

Move the b to the other side

c = (y + bd) / b

Hope this helped! Have a great day!

ln e³ = 3, by definition and properties of logarithm.

Now,

As seen by the definition of logarithms, [tex]log_b(a)=x[/tex]

In case of natural logarithm, b = e, i.e., [tex]log_e(a)[/tex] = ln (a) = x

In the question, ln (e)³, a = e

By property of logarithms, [tex]log_b(a^m) = m(log_b(a))[/tex] ,

=> 3 (ln (e)) = 3 [tex]log_e(e)[/tex]

Since, [tex]log_e(e)[/tex] = 1, ln (e)³ = 3 (1) = 3.

Hence, ln e³ = 3, by definition and properties of logarithm.

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Based on the triangle midsegment theorem, the length of HI is: 8 units.

Every triangle has three midsegments. A midsegment of a triangle can be described as the segment that intersects two sides of a triangle at their midpoint.

For example, in the diagram given, the midsegments in triangle GHI are segments JL, KL, and JK.

According to the triangle midsegment theorem:

JL = 1/2(HI)

KL = 1/2(HG)

JK = 1/2(GI)

Given that, JL = 4 units, applying the triangle midsegment theorem, we would have:

JL = 1/2(HI)

4 = 1/2(HI)

Multiply both sides by 2

2(4) = 1/2(HI)(2) [multiplication property]

8 = HI

HI = 8 units

In conclusion, based on the triangle midsegment theorem, the length of HI is: 8 units.

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The value of real root 4√1/160,000 is 1.5625e-6.

By considering the given value

4√1/160,000

=(6.25e-6)^1/4

=1.5625e-6

The values of x where the function's graph actually crosses the x-axis are known as real roots. Any roots without a I term are real roots. Imaginary roots are x-values that set the function to zero but do not actually cause the graph to cross the x-axis.

If there are no stationary points on the curve, then f has a single real root. If stationary points are found, you could demonstrate using the geometry of the curve that the curve can only intersect the x axis once due to the configuration of the stationary points.

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Answer:   x = 8

The diagram is shown below.

==================================================

Explanation:

Use the SAS triangle area formula to get the following equation.

area = 0.5*side1*side2*sin( angle between those sides)

area = 0.5*AB*AC*sin( angle BAC )

area = 0.5*(x+1)*x*sin(30)

area = 0.5x(x+1)*0.5

area = 0.25x^2+0.25x

Set this equal to the stated area of 18 square cm and solve for x.

0.25x^2+0.25x = 18

4*(0.25x^2+0.25x) = 4*18

x^2+x = 72

x^2+x-72 = 0

(x-8)(x+9) = 0

x-8 = 0 or x+9 = 0

x = 8 or x = -9

Ignore the negative value since we cannot have a negative side length.

The only possible outcome is that x = 8 which leads to x+1 = 8+1 = 9.

The diagram is below.

CONVERSE = 2

INVERSE= 1

CONTAPOSITIVE=3

The coordinates of midpoint M is (3,-4)

It is given that AB is a line segment whose end points A ( 4,6) and B (2.-14) and M is the midpoint

We need to find out the coordinates of midpoint  M which can be found out using the mid point formula  which is (x1 + x2/2 , y1 +y2/2)

the x coordinate of the midpoint M of line segment AB = 4 + 2/2

                                                                                               = 6/2

                                                                                                = 3

the y coordinate of the midpoint M of line segment AB = 6+ (-14) /2

                                                                                               = -8/2

                                                                                               = -4

Hence the coordinates of the midpoint M of line segment AB is (3,-4)

In geometry, the midpoint is the center point of a line section. it's far equidistant from each endpoints, and it's far the centroid each of the segment and of the endpoints. It bisects the section.

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The complete terms and growth factors are as follows

Given data

a. __,5, 25, __625

-1,__,-36, 216,__

c. 10, 5, __, __0.625

d.__ ,__,36,-108,__

e.__,12,18,27,__

The terms of a geometric sequence is gotten by

a * r = T2

a is the first term

r is the growth factor

T2 is the second term

a. __,5, 25, __625

5 * r = 52

r = 5

growth factor is 5

the complete terms include

1, 5, 25, 125, 625

b. -1,__,-36, 216,__

-36 * r = 216

r = 216 / -36 = -6

r = -6

growth factor is -6

the complete terms include

-1, 6, -36, 216, -1296

c. 10, 5, __, __0.625

10 * r = 5

r = 5 / 10 = 0.5

r = 0.5

growth factor is 0.5

the complete terms include

10, 5, 2.5, 1.25, 0.625

d.__ ,__,36,-108,__

36 * r = -108

r = -108 / 36 = -3

r = -3

growth factor is -3

the complete terms include

6, -18, 36,-108, 324

e.__,12,18,27,__

12 * r = 18

r = 18 / 12 = 1.5

r = 1.5

growth factor is 1.5

the complete terms include

8, 12, 18, 27, 40.5

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Based on the annual gross income to John, the FICA amount that is deducted and the salary withheld for 23%, John's monthly take-home pay is $5,537.67

First, find the cost of the per-year health insurance plan that John pays:

= (1 - 60%) x 2,500

= 40% x 2,500

= $1,000

The annual take home pay is:
= 87,600 - 1,000 - (87,600 * 23%)

= 87,600 - 1,000 - 20,148

= $66,452

The monthly take-home pay is:

= 66,452 / 12

= $5,537.67

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Explanation:

Each pencil has a profit of Rs 1.25 since [tex]\text{revenue} - \text{cost} = 5.75 - 4.50 = 1.25[/tex]

Multiply that result with 20 to get the final answer shown above in bold.

The actual area of the space for Joseph's new grill in square inches is 1280cm².

It should be noted that Joseph uses a scale of 2 cm for every 5 inches.

It should be noted that the drawing is 80inches by 100 inches.. Therefore, the original shape will be:

= 80 × 2/5 = 32

= 100 × 2/5 = 40

Therefore, the area will be:

= Length × Width

= 32 × 40

= 1280cm².

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Jospwh has a drawing of 80 inches by 10 inches. After making several scale drawings,Joseph decides on the best placement for a new grill on his desks.He uses a scale of 2 cm for every 5 in. what is the actual area of the space for Joseph's new grill in square inches?

According to the scale model, the bus has a real length of 252 inches (21 feet).

Scales are ratio between two lengths, scales are an useful resource to represent systems in affordable dimensions (i.e. The Empire State Building in a piece of paper). In this case, scales are defined by the following formula:

r = l' / l

Where:

If we know that r = 1 / 21 and l' = 12 in, then the real length of the bus is:

l = l' / r

l = 12 in / (1 / 21)

l = 252 in

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The scale factor from shape B to shape A is 4.

Step 1: To determine the scale factor, we need to know the dimensions of the shape before scaling and its dimensions after scaling. From the given diagram, figure A has a base length of 36 units and another base of length  28 units. Figure B has a base length of 9 units and another base length is 7 units.

Step 2: To find the scale factor, we divide a particular dimension from figure B with the same dimension in figure A.

The base length of figure B /the base length of figure A = 36 / 9 = 4

Similarly, the length of another base of figure B / another base of figure A = 28 / 7 = 4

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The dimensions of the rectangular figure is width of 34.5 meters and length of 141 meters.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represents the width (in meters) of the figure, and y represents the length (in meters). Hence:

y = 4x + 3

4x - y = -3    (1)

Also:

2x + 2y = 351    (2)

From both equations:

x = 34.5, y = 141

The dimensions of the rectangular figure is width of 34.5 meters and length of 141 meters.

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After solving the equation ln x-1/2=4, the value of x is equal to  [tex]e^{4.5}[/tex]

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

We have been asked to find x in ln x-1/2=4

⇒ ln x-1/2=4

⇒ ln x = 4 + 1/2

⇒ ln x = 4.5

⇒ x = [tex]e^{4.5}[/tex]

Thus x = [tex]e^{4.5}[/tex], in the equation ln x-1/2=4

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Answer:

I'm pretty sure the answer is A

Step-by-step explanation:

Hope this helps:).......if not then sorry for wasting your time and may God bless you<3

Answer:

(-2, 3)

Step-by-step explanation:

When rotating the preimage 90° counterclockwise about the origin (x, y) becomes (-y, x).

x=3 and y=2

So (3, 2) becomes (-2, 3)

The image of the point (-2,3) after a rotation of 90° counterclockwise about the origin will be (3, 2).

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The point (-2, 3) is in the second quadrant. After a rotation of 90° counterclockwise about the origin, the point will be in the first quadrant.

After the rotation, the coordinate of the points will get swapped and in the first quadrant, the value of the coordinate will be positive.

The image of the point (-2,3) after a rotation of 90° counterclockwise about the origin will be (3, 2).

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The volume of the shred is 777.6 cubic feet

The volume of a shape is the amount of space inside the shape.

For most regular shapes, the formula of the volume is the product of the base area and the height

The given parameters are

Length = 20.25 ft

Width = 12 ft

Height = 3 1/5 feet

The volume of the shred is calculated using the following volume formula i.e. the volume of a cuboid or rectangular prism

Volume = Length x Width x Height

Substitute the known values in the above equation

So, we have

Volume = 20.25 x 12 x 3 1/5

Evaluate the product in the above equation

So, we have

Volume = 777.6 cubic feet

So, the required volume of the shred is 777.6 cubic feet

Hence, the volume of the shred is 777.6 cubic feet

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Since 8>3

[tex]f(8) = 7[/tex]

The component form of the resultant vector is  X1 = -5 and Y1 = -3

The course of vector rotation is counterclockwise if θ is positive (e.g., 90°) and clockwise if θ is bad (e.g., 90°). Consequently, the clockwise rotation matrix is located as

Let's say we have got a factor (x1, y1). The point also defines the vector (x1, y1).

The vector (x1, y1) has a length of L.

We rotate this vector anticlockwise around the starting place by using β Degree.

The turned-around vector has coordinates (x2, y2)

The turned-around vector also has to have period L.

Theorem

x2=cosβx1−sinβy1

y2=sinβx1+cosβy1

By using the above information, we can say that X1 = -3 and Y1 = 5

So now we have the rotate the vector by 270 Degree

After Rotation New coordinates are X1 = -5 and Y1 = -3

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Answer:

figurative

Step-by-step explanation:

this is because its using something else to paint a picture as to HOW something is, for ex. HOW bright the moon is.

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Hello! Explanation below!

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Ideally, we should break apart the number for this problem. So, here goes nothing. :)

500 / 8 = 62.5

20 / 8 = 2.5

8 / 8 = 1

Now, add your products.

62.5 + 2.5 + 1 = 66

- - - - - - - - - - - - - - - - - - - - - - - -

Good luck!

~pinetreee

The coordinates of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)

The complete question is added as an attachment

The coordinates of the triangle are given as

R = (-4, 1)

S = (-4, 4)

T = (-2, 1)

The sequence of transformations is given as

The rules of the above sequence of transformations are

When the above transformations are combined, we have

(x, y) = (-x - 1, y - 5)

So, we have

R' = (4 - 1, 1 - 5) = (3, -4)

S' = (4 - 1, 4 - 5) = (3, -1)

T = (2 - 1, 1 - 5) = (1, -4)

Hence, the image of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)

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Answer:

if your asking how to get 29 then here is how

Step-by-step explanation:

Evaluate

3x+16=5x−42

Move the variable to the left side

3x+16−5x=−42

Subtract the terms

−2x+16=−42

Move the constant to the right side

−2x=−42−16

Subtract the terms

−2x=−58

Divide both sides

2x divided by -2

-58 divided by 2

Solution

x=29

Answer:

[tex]162 \pi[/tex]

Step-by-step explanation:

Volume of a cone is
[tex]V = \dfrac{1}{3}\pi r^2h[/tex]

where r = radius, h = height

So

[tex]v = \dfrac{1}{3} \pi \times 9^2 \times 6\\\\= \dfrac{1}{3} \pi \times 81 \times 6\\\\= 162 \pi[/tex]

Answer:

Step-by-step explanation:

ANSWER:  

about 2.085

The nearest whole number 83.92 - 47.23=37(rounding off)

Given,

83.92 - 47.23=36.69

The whole number is 0,1,2,3...

Rounding a number refers to the act of simplifying a number such that its value remains near to what it was. The outcome of rounding off a number is less precise but more convenient to utilize. We consider the place value of digits in a number when rounding it.

Let us look at an example to better grasp the notion of rounding. Susan walked 2.05 miles, which she estimated to be around 2 miles.

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