which of the following is an example of systematic sampling? a) using a random number table, people are chosen and then only the people with even numbers are selected. b) in a population of 500, the first and last 100 for a total of 200 people are chosen. c) in a population of 1000 at a school, every 64th person is chosen. d) a government official uses a list of all the people that have returned tax forms and uses those people that h

Answer:

48

Step-by-step explanation:

a² - 16                        a = 8

8² - 16

= 64 - 16

= 48

Considering the diagram, the correct option is

B. the bisector of angle PRQ

An angle bisector is a line or a ray that divides an angle into two congruent angles

It is the line or ray that splits an angle into two equal angles with the vertex of the angle being the common endpoint of the two angles

Since the bisector of the angle splits it into two equal parts then we refer to it as the locus of the point

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Answer:

A: 1.7

B: 1.3

C: -0.2

D: -0.8

E: -1.7

Step-by-step explanation:

L = k/f, where k is the variational constant, is the formula for the inverse variation.

A mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.

Using the variables length of violin 'l' and frequency of vibration 'f'

If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:

l α 1/f

l = k/f

Hence the formula for the inverse variation is l = k/f where k is the constant of variation.

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Answer:

13 4/5 = 10 + 3 4/5

Step-by-step explanation:

The height of the statue is given by the similar triangles and x = 2.667 m

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the triangles be represented as ABC and CDE

Now , the triangles ABC and CDE are similar

Let the height of the statue be = measure of AB = x

Now , the height of Patty = measure of CE = 1.6 m

Let the distance between Patty and mirror be CE = 2.4 m

Let the distance between mirror and base of statue BC = 4 m

And , corresponding sides of similar triangles are in the same ratio

Substituting the values , we get

AB / CE = BC / CE

x / 1.6 = 4 / 2.4

Multiply by 1.6 on both sides , we get

x = ( 4 x 1.6 ) / 2.4

x = 4 ( 2/3 )

x = 2.6667 m

Hence , the height of the statue is 2.6667 m

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Answer:

|5| = |-5|

|-4| > -6

-5 < |-9|

|-4| < 7

Step-by-step explanation:

In absolute value the negative signs don't matter and you have to think of them as just the number.

EXAMPLE

|-4| = 4

|5| = 5

NON EXAMPLE

|-4| = -4

Answer:

D. 9/4

Step-by-step explanation:

Answer: D

Step-by-step explanation:

-1 1/4 + -3 2/4

Cross out the negative sign because we're working with negatives in this equation. Due to taking away the negative sign, we would subtract.

3 2/4 - 1 1/4 = 9/4

Have a good day :D

Fix(2.5) is equal to 1. The expected value of X (E(X)) is equal to 13/36. P(X > 0.3 and X < 0.6) is equal to 0.432.

A continuous random variable X has a probability density function (pdf) given by:

fix (x) = {x² + 4/3 x if 0 < x < 1

0 otherwise. Let's solve the questions step-by-step: To find the cumulative distribution function (CDF) Fix(t) of X, we integrate the pdf from 0 to t. To find Fix(-3), we integrate the pdf from 0 to -3, which is not possible since -3 is outside the valid range of x (0 < x < 1). Therefore, Fix(-3) does not exist. To find Fix(0.6), we integrate the pdf from 0 to 0.6:

∫(0 to 0.6) (x² + 4/3 x) dx = [1/3 x³ + 2/3 x²] (0 to 0.6)

= (1/3 × 0.6³ + 2/3 × 0.6²)

= 0.432.

Therefore, Fix(0.6) is equal to 0.432. To find Fix(2.5), we integrate the pdf from 0 to 1 (since the valid range of x is 0 < x < 1):

∫(0 to 1) (x² + 4/3 x) dx = [1/3 x³ + 2/3 x²] (0 to 1)

(1/3 × 1³ + 2/3 × 1²) = 1.

Therefore, Fix(2.5) is equal to 1. To find the expected value of X (E(X)), we need to integrate x times the pdf from 0 to 1:

E(X) = ∫(0 to 1) x × (x² + 4/3 x) dx.

Simplifying the integral:

E(X) = ∫(0 to 1) (x³ + 4/3 xv) dx

= [1/4 x⁴ + 4/9 x³] (0 to 1)

= (1/4 × 1³ + 4/9 × 1³)

= 13/36.

Therefore, the expected value of X (E(X)) is equal to 13/36. To find P(X > 0.3 and X < 0.6), we need to use the definition of conditional probability:

P(X > 0.3 and X < 0.6) = P(X < 0.6) - P(X < 0.3).

Using the CDF we obtained earlier, we have:

P(X > 0.3 and X < 0.6) = Fix(0.6) - Fix(0.3)

= 0.432 - 0

= 0.432.

Therefore, P(X > 0.3 and X < 0.6) is equal to 0.432.

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Answer:

- 23/13

Step-by-step explanation:

first, we do the FOIL multiplication (First, Outer, Inner, Last)

(2x+3)(x- 8)= 3+2(x- 5)(x + 5)

2x(x-8) + 3(x-8) = 3 + 2(x(x+5) - 5(x+5))

2x² - 16x + 3x - 24 = 3 + 2(x² + 5x - 5x -25)

2x² - 16x + 3x - 24 = 3 + 2(x² - 25)

2x² - 16x + 3x - 24 = 3 + 2x² - 50

2x² - 13x - 24 = 3 + 2x² - 50

after that move all component which have x to the left

2x² - 2x² - 13x = 3 - 50 + 24

-13x = 23

x = - 23/13

Answer:

x^3= 11/-7

Step-by-step explanation:

(2x+3)(x- 8)= 3+2(x- 5)(x + 5)=

2x^2-16x+3x-24= 3+2x-10+x+5

-11x-24= -2+3x

-11x^2 -24 = -2+3x

-11x^2-3x = -2+24

-14x^3 = 22

x^3 = 22/ -14

x^3 = 11/-7

Answer:

87 Percent

Step-by-step explanation:

The charge for each hour is $39.50. Therefore, option D is the correct answer.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The given equation is y=39.50x+75.

The standard form of the slope intercept form is y=mx+c.

Where, m is slope or rate of change.

In the equation y=39.50x+75

The total charge is y, x is number of hours, $75 is base fee and $39.50 is charge per hour.

Therefore, option D is the correct answer.

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The domain of a function is the set of numbers that can go into a given function.

The set of input values (x) for which a function generates an output value is known as the domain of the function (y).

we can write \(y = f(x).\)

domain is the full set of x-values that can be plugged into a function to produce a y-value.

The most effective approach to finding a domain will depend on the type of function.

The domain is expressed using an open bracket or parenthesis, the domain's two endpoints separated by a comma, and then a closed bracket or parenthesis.

To find domain of function we should know the property of that function like what the function can take inside it.

Like if we consider square root function \(\sqrt{x}\) so inside root negative numbers are not allowed so value of x should be positive means x>=0

So domain of square root function [0, ∞).

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Answer:

y=x+2

Step-by-step explanation:

slope-intercept form-----> y=mx+b where m=slope and b=y-intercept

4x-4y=-8

4y=4x-(-8)

4y=4x+8

y=4/4x+8/4

y=x+2

The value of P((A ∩ B) ∪ (C ∪ D ∩ E))' is approximately 0.1571. the probability that component A is not working given that the system works is approximately 0.001.

To calculate the values in Part 1 and Part 2, we'll use basic probability rules and formulas.

Given: P(A) = P(B) = 0.77, P(C) = P(D) = P(E) = 0.85

Part 1: We want to find the probability of the complement of the event (A ∩ B) ∪ (C ∪ D ∩ E), denoted as P((A ∩ B) ∪ (C ∪ D ∩ E))'.

Using De Morgan's law, the complement of a union is the intersection of complements:

P((A ∩ B) ∪ (C ∪ D ∩ E))' = P((A ∩ B)') ∩ (C ∪ D ∩ E)'

The complement of an intersection is the union of complements:

P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (P(A') ∪ P(B')) ∩ (P(C') ∩ P(D') ∩ P(E'))

Substituting the given probabilities:

P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (1 - P(A)) ∪ (1 - P(B)) ∩ (1 - P(C)) ∩ (1 - P(D)) ∩ (1 - P(E))

Calculating the values:

P(A') = 1 - P(A) = 1 - 0.77 = 0.23

P(B') = 1 - P(B) = 1 - 0.77 = 0.23

P(C') = 1 - P(C) = 1 - 0.85 = 0.15

P(D') = 1 - P(D) = 1 - 0.85 = 0.15

P(E') = 1 - P(E) = 1 - 0.85 = 0.15

Now, we calculate the final probability:

P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (0.23 ∪ 0.23) ∩ (0.15 ∩ 0.15 ∩ 0.15)

                          = 0.23 ∩ 0.15 = 0.1571 (rounded to 4 decimal places)

Therefore, the value of P((A ∩ B) ∪ (C ∪ D ∩ E))' is approximately 0.1571.

Part 2: We want to find the probability that component A is not working given that the system works, denoted as P(A' | System Works).

Using the conditional probability formula:

P(A' | System Works) = P(A' ∩ System Works) / P(System Works)

To calculate the numerator:

P(A' ∩ System Works) = P(A' ∩ B' ∩ C' ∩ D' ∩ E')

                    = P(A') ∩ P(B') ∩ P(C') ∩ P(D') ∩ P(E')

                    = 0.23 ∩ 0.23 ∩ 0.15 ∩ 0.15 ∩ 0.15  = 0.0002634 (rounded to 7 decimal places)

To calculate the denominator:

P(System Works) = 1 - P(A' ∪ B' ∪ C' ∪ D' ∪ E')

= 1 - (P(A') ∪ P(B') ∪ P(C') ∪ P(D') ∪ P(E')) = 1 - (0.23 ∪ 0.23 ∪ 0.15 ∪ 0.15 ∪ 0.15) = 1 - 0.66 = 0.34

Now, we calculate the final probability:

P(A' | System Works) = P(A' ∩ System Works) / P(System Works)

= 0.0002634 / 0.34 = 0.0007735 (rounded to 7 decimal places)

Therefore, the probability that component A is not working given that the system works is approximately 0.001.

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The complete question is:<The reliability (probability of working) of each component is specified as follows and the components work or fail independently. P(A) = P(B) = 0.77 P(C) = P(D) = P(E) = 0.85 A B с DHE Part 1 What is the value of P((ANB) U(CODn E))' (Enter your answer with 3 decimal digits.) 0.1571 100% Part 2 What is the probability that the component A is not working given that the system works? (Enter your answer with 3 decimal digits.) Hint: Think of a conditional probability definition.>

Answer:

\(to \: know \: \: the \: solution\)

\(refer \: to \: the \: attatchment\)

Check the picture below.

Make sure your calculator is in Degree mode.

\(\tan(\alpha )=\cfrac{\stackrel{opposite}{5}}{\underset{adjacent}{4}}\implies \alpha=\tan^{-1}\left( \cfrac{5}{4} \right)\implies \alpha \approx 51.3^o\)

The team go skirt pop pop pop pop pop pop...

So, we know that the internal angles of a triangle add up to 180 degrees, yes?  

60 degrees plus 50 degrees equals 110 degrees, and subtract 110 from 180, and you get 70 degrees for angle y.

Now, if the triangles are congruent (identical) and the shape you are describing is like an hourglass, then because of the vertical angles theorem, angle x should be 70 degrees too!  

Hope I helped!!  :)

Answer: Y = -12.25

Step-by-step explanation:

Answer:

-4.75

Step-by-step explanation:

5(-3) - 4y = 34

-15 - 4y = 34

-4y = 19

y = -4.75

Answer: y = -x - 9

Step-by-step explanation:

slope intercept is y = mx + b, we can find the slope using the given points

m or slope = (y2 - y1) / (x2 - x1)

lets make (3,-12) be (x1 , y1) and (-9 , 0) be(x2,y2)

m = 0- - 12 / -9 - 3

= 12/-12

m = -1

now y = -1x + b plug in one of the points lets do (-9,0) into this

0 = -1(-9) + b

0 = 9 + b subtract 9 on both sides to find b

-9 = b

so y = -x - 9

Answer:

Algebraic identities

Step-by-step explanation:

Here, we want to choose the correct method to factorize the given expression

That will be;

Algebraic identities

This is because, the terms which have an algebraic term in common have already been grouped and thus what we have to apply next is algebraic identities

Answer: A = 55* or 55 degrees

Step-by-step explanation:

The interior angles of a triangle always have a sum of 180 degrees.

75 + 50 + x = 180

Solve for x

FInal answer: 55 degrees

hope i explained it :)

The integer that represents Andrews depth in ¼ of an hour is 60 feet.

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation e.g. calculation of length and depth.

If Andrew descends at a rate of 4 feet per minute and we want to find his depth in ¼ of an hour.

1/4 of an hour = (1/4 * 60) minutes = 15 minutes

Thus, the integer that represents Andrews depth in ¼ of an hour will be:

(4 feet per minute) * (15 minutes) = 60 feet

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The juniors skiers can have the lengths of 120 to 140 as we can see the skiers lengths can touch the length of 120 and 140 that is why in the inequality we will use less than or equal to and in the number line we will see a filled circle in 120 and 140.

Therefore the solution is

The range values for the domain of the functions are as follows

x   y

-2  7

0   3

1     1

3    -3

The domain are the input values of the graph the output values are solved using the given functions

The given function 2x-y=3

rearranging gives

y = 3 - 2x

solving for the range values using the domain values: (-2,0,1,3)

= 3 - 2x = 3 - 2 * -2 = 7

= 3 - 2 * 0 = 3

= 3 - 2 * 1 = 1

= 3 - 2 * 3 = -3

The graph is attached

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Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by \(h(t) = -16\cdot t^{2}+12\cdot t +10\), where \(h(t)\) is the height in feet and \(t\), the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

\(-16\cdot t^{2}+12\cdot t +10 = 10\)

\(-16\cdot t^{2}+12\cdot t = 0\)

Then, we simplify the expression by algebraic means:

\(-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0\)

Roots of the polynomial are, respectively:

\(t = 0\,s\,\lor \,t = 0.75\,s\)

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

Answer:

Inequalities are used to demonstrate relationships between numbers or expressions. An inequality describes a relationship between two different values.

The notation  

a

<

b

means that  

a

is strictly smaller in size than  

b

, while the notation  

a

>

b

means that  

a

is strictly greater than  

b

.

The notion  

a

≤

b

means that  

a

is less than or equal to  

b

, while the notation  

a

≥

b

means that  

a

is greater than or equal to  

b

.

Inequalities are particularly useful for solving problems involving minimum or maximum possible values.

Step-by-step explanation:

Answer:

672

Step-by-step explanation:

V=LWH

V=12*7*8

V=672

Answer:

672 ft cubed

Step-by-step explanation:

L x W x H = Area of a Rectangular Prism

12 x 7 x 8 = 672 ft cubed

Step-by-step explanation:

buffet or tells about the beliefs values behaviour and material object that constitute a people's way of life

Answer:

In sociology, traditional society refers to a society characterized by an orientation to the past, not the future, with a predominant role for custom and habit. Such societies are marked by a lack of distinction between family and business, with the division of labor influenced primarily by age, gender, and status.

Step-by-step explanation:

Hope it is helpful.....