A normal probability plot of data from a sample of a population is shown to the right. Assess the normality of the variable under consideration. Choose the correct answer below. A. The relationship is approximately linear, so the variable under consideration is probably normally distributed. B. The relationship is not linear, so the variable under consideration is probably normally distributed. C. The relationship is not linear, so the variable under consideration is probably not normally distributed. D. The relationship is approximately linear, so the variable under consideration is probably not normally distributed.

Answer:

f = 40

Step-by-step explanation:

0.25f = 10

f = 40

Let's check

0.25(40) = 10

10 = 10

So, f = 40 is the correct answer.

ok

Dimensions = 5 ft x 7 ft

Brick = 4 in x 12 in

1.- Convert ft to in

1 ft -------------------- 12 in

5 ft ------------------- x

x = (5 x 12) / 1

x = 60 in

1 ft -------------------- 12 in

7 ft -------------------- x

x = (7 x 12) / 1

x = 84 in

2.- Calculate the area of the wall

Area = 60 x 84

= 5040 in^2

3.- Calculate the area of a brick

Area = 4 x 12 = 48 in^2

4.- Divide the area of the wall by the area of the brick

Number of bricks = 5040 / 48

= 105

There will be 105 brick on the wall.

As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).

In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.

The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.

The third set of data is 24, 25, 25, 25, 26, 26.

The median is the middle value, which is also (25+25)/2 = 25.

The mode is the value that appears most frequently, which is 25.

Therefore, the mode and median are the same, fulfilling Marjane's requirement.

Therefore, the correct option is (c).

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Answer:

Its A. $39. 59

Step-by-step explanation:

Correct on Edge

Answer:

A relation is defined as the collection of inputs and outputs which are related to each other in some way. In case, if each input in relation has accurately one output, then the relation is called a function.

Based on the given relation, we found that it is not a function because it has repeating x-values. Remember, for a relation to be a function, each input (x-value) must correspond to exactly one output (y-value).

To determine if a relation is a function, you need to check if each input (x-value) corresponds to exactly one output (y-value). You can use the following steps:

1. Identify the given relation as a set of ordered pairs, where each ordered pair represents an input-output pair.

2. Check if there are any repeating x-values in the relation. If there are no repeating x-values, move to the next step. If there are repeating x-values, the relation is not a function.

3. For each unique x-value, check if there is only one corresponding y-value. If there is exactly one y-value for each x-value, then the relation is a function. If there is more than one y-value for any x-value, then the relation is not a function.

Let's consider an example relation: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 1: Identify the relation as a set of ordered pairs: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 2: Check for repeating x-values. In our example, we have a repeating x-value of 2. Therefore, the relation is not a function.

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Answer:

x=30

y=120

Step-by-step explanation:

Since the big triangle is equilateral, each angle is 60. There is a 90 degree angle so 90-60 is 30. X is also 30 because it's adjacent side is also congruent.

y is 120 because 180-30-30 is 120

Answer:

4

Step-by-step explanation:

Yep

Answer:

C. All numbers are rational numbers

Step-by-step explanation:

In mathematics, any number that can be stated in fraction form or ratios is said to be a rational number. This simply means that some numbers cannot be written in fraction form and so all numbers are not rational numbers.

Examples of rational numbers include terminating decimals, integers, repeating decimals and the fractions.  

The other non-rational numbers are called irrational numbers, as they cannot be written in fraction form.

Answer:

A. y = –5x – 27

Step-by-step explanation:

You would need a new y-intercept in order for this to be parallel. So you use the points given and the slope and fill it in. 3=-5(-6)+b. 3=30+b. Then subtract 30 from both sides. -27=b. Then just put it all back into slope intercept form. y=-5x-27.

y = –5x + 3

slope of the given line by comparing with y=mx+b is

m= - 5

Concept is that the slope of parallel lines are equal so we need a line with slope same as m=-5

and passes through point (-6,3)

Equation using the point slope equation

y-3 = -5 (x-(-6))

y-3=-5(x+6)

y-3= -5x-30

y= -5x -27

A

Answer:

x=6

Step-by-step explanation:

Combine like terms, 5x and 7x

12x=72

Isolate the variable by dividing by 12

x=6

Answer:

The information we have is:

The boat can hold 170 L of fuel

The boat uses 34L each hour.

With this information, we can find the total amount of time that the boat can be used.

If the boat is used x hours, then it needs:

x*34L of fuel.

And the maximum amount of fuel that the boat can use uis170 L

Then we can solve:

x*34L = 170L

Now we can divide both sides by 34L to isolate x.

x = 170L/34L = 5

This means that the boat can be used for 5 hours.

(1) The area of the trapezoid is 192 square meters.

(2) The area of the circle is A = 144π square cm or A ≈ 452 square cm.

(3) The circumference of the circle is C = 24π cm or C ≈ 75 cm.

(4) The perimeter of the figure is ≈ 110 cm.

(5) The area of the figure is 321 square meters.

The measurement that indicates the size of a region on a plane or curved surface is called the area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

(1)

The height of the trapezoid is 12m and the lengths of the parallel sides are 11m and 21 m.

The area of the trapezoid is:

A = (1/2)(11 + 21)(12)

A = 192 square meters.

(2)

The area of the circle with a radius of 12 cm is:

A = π(12)²

A = 144π

A ≈ 452 square cm.

(3)

The circumference of the circle with a radius of 12 cm is:

C = 2π(12)

C = 24π

C ≈ 75 cm

(4)

To find the perimeter of the figure, first, find the circumference of the semicircle,

The diameter of the semicircle is 30 - 12 = 18.

Therefore, the radius is 18/2 = 9 cm.

Hence, the perimeter of the figure is:

12 + 20 + 30 + 20 + π(9)

≈ 110 cm

(5)

To find the area of the figure, first, find the area of the large horizontal rectangle, then the upper triangular part, and then the lower rectangular part, and add them together.

The area of the large horizontal rectangle is:
(24 + 5) × 8

= 232

The area of the triangular portion is:

(1/2)×(24 + 5 -10 -10)×12

= 54

The area of the small rectangular part is:
5×7

=35

Now, add all the areas together to find the total area of the figure:

232 + 54 + 35

= 321

Hence, the area of the fifth figure is 321 square meters.

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Hi ;-)

Equation 1°

\(2(x+1)=-8x+8(x-2)\\\\2x+2=-8x+8x-16\\\\2x+8x-8x=-16-2\\\\2x=-18 \ \ /:2\\\\\huge\boxed{x=-9}\)

Equation 2°

\(4(7+2x)=-2(x+4)+4x\\\\28+8x=-2x-8+4x\\\\8x+2x-4x=-8-28\\\\6x=-36 \ \ /:6\\\\\huge\boxed{x=-6}\)

Answer: 3/5

Step-by-step explanation: To find reciprocal just flit the numerator and the denominator.

Answer: f(-2) = -7

Explanation: If f(x) = 3x - 1, then f(-2) is 3(-2) - 1 which simplifies to -7.

So the value of the function at -2 is -7.

Answer:

2.25 feet, 45 inches, and 6 yards

Step-by-step explanation:

first, convert all to the same unit of measurement

I will use inches

45 inches = 45 inches

6 yards, 1 yard = 3 feet so 6 yards are equal to 18 feet and 1 foot is equal to 12 inches so 12*18 is 216 inches so 6 yards = 216 inches

Next 1 foot equals 12 inches so 2.25 * 12 = 27 so 2.25 feet = 27 inches.

Now let's look at the complete conversion

45 inches

6 yards = 216 inches

2.25 feet = 27 inches

looking at the inches we can see that 27 is the least then 45 then 216 therefore

2.25 feet < 45 inches <  6 yards so the order is

2.25 feet, 45 inches, and 6 yards

z-value is -1.9599

To find the value z such that the area to the left of z under the standard normal curve is 0.025, you can use the qnorm() function in R as follows:

The output will be the z-value you are looking for. To round your answer to 4 digits after the decimal point, you can use the round() function in R:

The output will be the rounded z-value, which should be approximately -1.9599.

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Answer:

-2 and -73

Step-by-step explanation:

simply divide 146 by any negative integer that can divide it fully

HINT:IT ENDS IN 6 SO TRY MULTIPLES AND FACTORS OF 6

and lastly don't forget that negative times negative equals positive

Answer:

This strange because the vending machine has diffrent foods in the same lane!

Step-by-step explanation:

The fourth choice. For example, (x+2)(x-2)>0 we'll get x>2 or x<-2 because whenever you substitute x>2 for example x = 3, the value will be higher than 0 itself.

If we substitute x = 3 (for x>2)

We'll get (3+2)(3-2)>0

5(1)>0

5>0 The statement is true.

If we substitute x = -3 (for x<-2)

We'll get (-3+2)(-3-2)>0

-1(-5)>0

5>0 The statement is true.

We don't say x>2 AND x<-2, In math, we only say x>2 OR x<-2

Answer:

x >2 and x < -2

Step-by-step explanation:

The line on the right starts on -2 and goes towards -10

So ; x is x < -2

The line on the right starts on 2 and goes towards 10

So ; x is  x >2

Answer:

f = 1

Step-by-step explanation:

-9 + 8f = -6 + 5f

move variables

-9 + 6 = -3

-3 + 8f = 5f

5f - 8f = -3f

-3 = -3f

divide by -3

f = 1

Betty takes 6 hours to paint a house alone, that indicates she can paint 1/6 of the house in 1 hour then Karen working alone will paint a house in 3 hours.

Since Betty takes 6 hours to paint a house alone, that indicates she can paint 1/6 of the house in 1 hour.

Karen can even paint 1/x in 1 hour

Both of them will paint the house in 3/2 hours.

We then add them together which gives:

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

The lowest common multiple is 6x

1x/6x + 6/6x = 9/6x

We then leave out the denominators

1x + 6 = 9

simplifying the above equation, we get

x = 9 - 6

x = 3

Therefore, the value of x = 3.

Karen working alone will paint a house in 3 hours.

The complete question is:

Betty and Karen have been hired to paint the houses in a new development. Working together, the women can paint a house in two-thirds the time that it takes Karen working alone. Betty takes 14 h to paint a house alone. Betty takes 6 h to paint a house alone.

Required:

How long does it take Karen to paint a house working alone?

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The equation - 2y = 4x - 8 in slope intercept is y = - 2x + 4.

Consider the function,

- 2y = 4x - 8

The equation of a line in slope intercept form is y = mx + b where m is the slope and b is the y-intercept.

So,

- 2y = 4x - 8

y = - 2x + 4

Now,

When x = 0

y = - 2(0) + 4 = 4

When x = 1,

y = - 2(1) + 4 = 2

When x = 2,

y = - 2(2) + 4 = 0

When x = - 1,

y = - 2( - 1 ) + 4 = 6

When x = - 2,

y = - 2( - 2 ) + 4 = 8

When x = 3,

y = - 2( 3 ) + 4 = - 2

So, the point on the graph are ( 0, 4 ), ( 1, 2 ), ( 2, 0 ), ( 3, - 2), ( - 1, 6 ), ( - 2, 8 ).

Therefore, the graph of the function is:

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Answer:

5x + 15

Step-by-step explanation:

Let's simplify step-by-step.

17−(−5x+2)

Distribute the Negative Sign:

=17+−1(−5x+2)

=17+−1(−5x)+(−1)(2)

=17+5x+−2

Combine Like Terms:

=17+5x+−2

=(5x)+(17+−2)

=5x+15

Answer:

=5x+15

Answer:

-3

Step-by-step explanation

You would first used distribuve property in the parenthisis.

Because there is a minus sign outside of the parenthisis, it would become (5x-2)

Combine like terms

15+5x=0

Subtract 15 from both sides

5x=-15

Divide 5 to get x

5x(/5)= -15(/5)

x=-3

Answer:

D. y= 200+ 0.1x

Step-by-step explanation:

Given data

Fixed Salary= $200

Commission= 10%

weekly sales = x

Hence the expression for the total amount he earns is given as

y= 200+ 0.1x

The equation of the circle with center (-7, 2) containing the point

(-16,8) is (x + 7)^2 + (y - 2)^2 = 117.

The equation of a circle with center (h, k) and radius r is:

(x - h)^2 + (y - k)^2 = r^2

We are given the center of the circle as (-7, 2) and a point on the circle as (-16, 8).

Using the formula, we can substitute the values into the equation:

(-16 - (-7))^2 + (8 - 2)^2 = r^2

(-16 + 7)^2 + 6^2 = r^2

(-9)^2 + 36 = r^2

81 + 36 = r^2

r^2 = 117

Therefore, the equation of the circle is:

(x - (-7))^2 + (y - 2)^2 = 117

Simplifying:

(x + 7)^2 + (y - 2)^2 = 117

So, the equation of the circle is (x + 7)^2 + (y - 2)^2 = 117.

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The rate of interest for simple compounding if Louis is offered an interest rate of 6.35% for an investment with continuous compounding, is 0.0656 or 6.56%, so option D is correct.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

Louis is offered an interest rate of 6.35% for an investment with continuous compounding,

Here, P will be the same, the amount will be the same and the time period will be the same then,

The amount in simple compounding = The amount in continuous compounding

\(P(1 + r)^t = Pe^{rt}\)

Here, r is the rate of interest for simple compounding,

\(1 + r = e^{0.0635}\)   (All same quantities get canceled)

r = 1.0656 - 1

r = 0.06556

r = 0.0656

r = 6.56%

Thus, the rate of interest for simple compounding is 6.56%.

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A LOD score is the ratio of probabilities that two genes are linked to the probability that they are not linked, expressed as a log10. This measure is commonly used in linkage analysis, a statistical method used to determine whether genes are located on the same chromosome and thus tend to be inherited together.

In linkage analysis, the LOD score is used to determine the likelihood that two genes are linked, based on the observation of familial inheritance patterns. A LOD score of 3 or higher is generally considered to be strong evidence for linkage, indicating that the likelihood of observing the observed inheritance pattern by chance is less than 1 in 1000.

The LOD score is also used to estimate the distance between two linked genes, with higher LOD scores indicating that the two genes are closer together on the chromosome. In general, the LOD score is a useful tool for identifying genetic loci that contribute to complex diseases or traits.

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