...............
................ ​

...............................

Answers

Answer 1

Let the numbers be x and x/7

Now

sum=824x+x/7=8248x/7=8248x=824(7)8x=5768x=721

The numbers are

721 and 721/7=103
Answer 2

Answer:

7x+X=824

8X/8=834/8

x=108

Step-by-step explanation:

hope I helped


Related Questions

Carmen drew this figure to represent the dividend of a division expression.

A number line going from negative 4 to positive 12. An arrow goes from 0 to 9.

What number is represented by the arrow?

Answers

The number represented by the arrow is 9 if each unit is represented by 1 option fourth is correct.

What is a number line?

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a number line shown in the picture.

As we can see each unit is represented by 1.

So after 2 there will be 3 and after 4 there will be 5 and so on.

So after 8, there will be 9 which is represented by the arrow.

Thus, the number represented by the arrow is 9 if each unit is represented by 1 option fourth is correct.

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Answer: 9

Step-by-step explanation:

The number line going from - 4 to + 12 represents the range of possible values for the dividend of the division expression. The arrow going from 0 to 9 indicates the actual value of the dividend. Therefore, the number represented by the arrow is 9.

for the function f(x)=5(x+2) find f (2)

Answers

Answer:

20

Step-by-step explanation:

To calculate f(2), just replace x in the equation of f(x) with 2:

[tex]f(x) = 5(x + 2)\\\\f(2) = 5(2+2)\\\\f(2) = 5(4)\\\\f(2) = 20[/tex]

Johann is 60 and Chad is 34 years younger. How many years
ago was Johann three times as old as Chad?

Answers

Answer: 6 years ago

Step-by-step explanation: Since Chad is 34 years younger than Johann, Chad is currently 26. 60 divided by 3 (since the question says three times) is 20, and 26 (Chad’s current age) minus 20 is 6. So, 6 years is the correct answer.

Answer:

  21 years

Step-by-step explanation:

Let x represent the number of years since Johann was 3 times Chad's age. The given relation can be written as the equation ...

  (60 -x) = 3(34 -x)

__

Solving this, we have ...

  60 -x = 102 -3x . . . . . eliminate parentheses

  2x = 42 . . . . . . . . . add 3x-60

  x = 21 . . . . . . . . .divide by 2

21 years ago, Johann was 3 times as old as Chad.

_____

Additional comments

Their ages then were 39 and 13.

If you recognize the age difference is 60-34 = 26 years, and that J will be 3×C when C's age is half that difference, then you know C was 13 at that time. That was 34-13 = 21 years ago.

If two triangles are congruent, which of the following statements must be true? Check all that apply. A. The corresponding sides of the triangles are congruent. B. The triangles have the same shape and size. C. The corresponding angles of the triangles are congruent. D. The triangles have the same shape, but not the same size. If two triangles are congruent , which of the following statements must be true ? Check all that apply . A. The corresponding sides of the triangles are congruent . B. The triangles have the same shape and size . C. The corresponding angles of the triangles are congruent . D. The triangles have the same shape , but not the same size.​

Answers

Answer:

Step-by-step explanation:

A. Correct

B. Correct

C. Correct

D. False

2.

A. Correct

B. Correct

C. Correct

D. False

Hope I helped!

[tex]3.135x 789[/tex]

Answers

Answer:

Step-by-step explanation:

Please answer this question i really want answers :(

Answers

Step-by-step explanation:

[tex] \sqrt{10} = 3.2 \\ then \: the \: sign \: there \: is \: = \\ \sqrt{10 } = 3.2 \\ \\ \: \sqrt{12} = 3.5 \\then \: the \: sign \: there \: is \: = \\ \: \sqrt{12} = 3.5 \\ \\ 6 \frac{1}{3} = 6.3 \: and \: \sqrt{40 } = 6.3 \\ therefore \: 6 \frac{1}{3} = \sqrt{40} \\ \\ 2 \frac{2}{5} = 2.4 \: and \: \sqrt{5.76} = 2.4 \\ then \: \: 2 \frac{2}{5} = \sqrt{5.76} \\ \\ 5 \frac{1}{6} = 5.16 \: and \: 516 \: \: therefore \: \\ 5 \frac{1}{6} = 5.16 \\ \\ \sqrt{6.2} = 2.5 \\ and \: 2.4 \: therefore \: \\ \sqrt{6.2} > 2.4[/tex]

If 6^(2x)=4 find 36^(6x-2) could anyone help me please?

Answers

Answer:

3.160

Step-by-step explanation:

You can solve for x using logarithm.

Rewrite in logarithm form

[tex]log_{6}4=2x\\\\x=\frac{log_64}{2}\\x=\frac{\frac{log4}{log6}}{2}\\x=\frac{log4}{log6} * \frac{1}{2}\\x=\frac{log4}{log6 * 2}\\x\approx0.386852807\\36^{6(0.386852807)-2} \approx3.160[/tex]

what is the probability that s+d>3 and s.d>3? write your answer as a decimal rounded to hundreth place

Answers

The probability that s+d > 3 and sd > 3 is 0.03.

Solution

Plot the inequalities

The region -5 ≤ s,d ≤ 5 is the square shaded in grey.

The region s + d > 3 is the region Q shaded to the right of the straight line.

The region sd > 3 is the region R shaded to the right of the curve d = 3/s.

Find the intersection of the three regions

From the figure, the region satisfying all the above three inequalities is the region to the left of the curve d = 3/s, bounded by the square region, i.e. the region R.

Probability of region R

The required probability is the Geometric probability of the intersection region R. It is calculated as

P(R) = ar(region R) / ar(square region P).

Calculate the areas of the regions

ar(region R) = area of the rectangle to the right in the first quadrant formed by dropping a vertical from point F - area under the curve d = 3/s in the first quadrant

[tex]\[\Rightarrow \;\; \mathrm{ar(\mathbf{R}) =} \int_{3/5}^5\frac{3}{s}ds = 25-3-3\ln\frac{25}{3} = 15.64.\][/tex]

ar(region P) = 25 × 25 = 625.

Calculate P(R)

The probability of the region R, P(R) = 15.64 / 625 = 0.025.

Rounding it to the hundredth place of decimal, P(R) = 0.03.

The probability that s+d >3 and sd>3, where -5 < s,d < 5, is 0.03.

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Disclaimer: The question was incomplete. Please find the full content below.

Question

What is the probability that s + d > 3 and sd > 3, where -5 ≤ s,d ≤5? Write your answer as a decimal rounded to the hundredth place.

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A game consists of rolling a colored die with three red sides, two green sides, and one blue side. A roll of a red loses. A roll of green pays $2.00. A roll of blue pays $5.00. The charge to play the game is $2.00. What is the expected value of the game?

Answers

The expected value of the game is $2.00.

To Find: The fair price to pay to play the game of rolling a colored die with three red sides, two green sides, and one blue side

Now the question arises how to find the Fair Price

We are told that in the game of rolling the colored die;

A roll of a red loses.

A roll of blue pays 5.00 and A roll of green pays 2.00.

Now, the best game to get the fairest price is to play; RRRGGB  i.e (RED, RED, RED, GREEN, GREEN,BLUE)

Fair price = 2(3/6) + 6(1/6) + 0(2/6)

Fair price = $2

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With the information given, can you prove this quadrilateral is a parallelogram?


Could someone help me with this problem? I'm not sure if those lines are parallel, congruent, or both, because there are two arrows on each line instead of one.

Will give Brainliest for the best answer.

Answers

Answer:

it it a parallelogram

Step-by-step explanation:

it has 2 sets of 2 parallel lines

With the information given, we can not prove this quadrilateral is a parallelogram. Explanation is given.

What is parallelogram?

A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

In order to prove, quadrilateral is a parallelogram:

We can prove either one of these following method;

1. Establish the congruence of the two pairs of opposing sides.

2. Show that the two opposing side pairs are parallel.

3. Show that one pair of opposed sides is parallel and congruent.

Here, we have AB = CD

And we have line AD and BC.

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

AD and BC are at equal distance.

That means, AD II BC.

And to solve further, we do not have any statements.

Therefore, with given information, we can not prove this quadrilateral is a parallelogram.

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what is the value of the rational expression below when is equal to 5?

Answers

Answer:

[tex]\boxed {C. -2}[/tex]

Step-by-step explanation:

[tex]\textsf {Substitute x = 5 in the expression :}[/tex]

[tex]\longrightarrow \mathsf{\frac{15 - x}{x - 10}}[/tex]

[tex]\longrightarrow \mathsf{\frac{15 - 5}{5 - 10}}[/tex]

[tex]\longrightarrow \mathsf{\frac{10}{-5}}[/tex]

[tex]\longrightarrow \mathsf{-2}[/tex]

The inverse of the function f(x) =
f(x) = x + 10 is shown.
h(x) = 2x-0
What is the missing value?
0 1
05
O 10
O 20

Answers

Answer: 20

Step-by-step explanation:

Let [tex]f(y)=x[/tex]

[tex]x=\frac{1}{2}y+10\\\\x-10=\frac{1}{2}y\\\\y=h(x)=2x-\boxed{20}[/tex]

fy= 2x² + 2x + 1
y = 2x + 3
What is the solution to this system of equations?
o (-1, 3) and (0,4)
o (0, 1) and (1,5)
○ (0, 1) only
o (-1, 1) and (1, 5)

Answers

The answer is (-1,1) and (1,5)

find the value of x? thanks ​

Answers

Answer:

x=1

Step-by-step explanation:

20(3x-3/5) = 20(2x-2/4)

12x-12= 10x-10

12x-10x =12-10

x= 1

Answer:

Step-by-step explanation:

Solution

3x - 3       2x - 2

=====  =  ======                       Cross Multiply

5              4

4(3x - 3) = 5(2x - 2)                   Remove the brackets. Distributive Property

12x - 12 = 10x - 10                     Subtract 10 x from both sides

12x-10x - 12 = 10x-10x - 10       Combine

2x - 12 = - 10                             Add 12  to both sides

2x-12+12 = -10 + 12                   Combine  

2x = 2                                       Divide by 2

2x/2 = 2/2                                

Answer

x = 1

If x is 0 what is 1/3 times as large

Answers

Answer:

0

Step-by-step explanation:0 times anything is still 0

144 to the 1/2 power

Answers

Answer:

(144)^1/2

(12^2)^1/2

12 is the answers

Step-by-step explanation:

please mark me as brainlest

Answer:

12

Step-by-step explanation:

Rewrite 144 as 12²

(12²)^1/2

Apply the power rule and multiply exponents, [tex](a^m)^n=a^{mn}[/tex].

12^2(1/2)

Cancel the common factor of 2.

Cancel the common factor.

Rewrite the expression

12^1

Evaluate the exponent.

12

About 10% of the population has a particular genetic mutation. 1000 people are randomly selected.

Find the mean for the number of people with the genetic mutation in such groups of 1000. Round your answer to two decimal places.

Answers

Answer:

The standard deviation for the number of people with the genetic mutation in such groups of 1000 is 9.49.

Step-by-step explanation:

Standard deviation: It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

The given parameters are:

Proportion, p = 10%

Sample size, n = 1000

The standard deviation is calculated as:

σ=[tex]\sqrt{np(1-p}[/tex]

So, we have:

σ=[tex]\sqrt{1000*10%*(1-10%)}[/tex]*(1-10%)

Evaluate:

σ= 9.49

Hence, the standard deviation for the number of people with the genetic mutation in such groups of 1000 is 9.49.

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A parallelogram has an area of 160 square meters and a height of 4 meters. What is the length of the base of the parallelogram?

Answers

The length of the base is 40 meters

How to determine the length of the base?

We have:

Area= 160 square meters

Height = 4 meters

The area is calculated using:

Area = Base * Height

So, we have:

160 = Base * 4

Divide both sides by 4

Base = 40

Hence, the length of the base is 40 meters

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Can someone help me? I’ll give Brainliest to whoever answers correctly first

Answers

Answer:Angle C=68 degrees

Step-by-step explanation:

The solution is in the

How do you write 16/25 as a percentage?

Answers

Answer:

64%

Step-by-step explanation:

Convert 16/25 to Percentage by Converting to Decimal

With this method, we first need to divide the numerator by the denominator:

16 ÷ 25 = 0.64

Once we have the fraction in a decimal format, the answer is then multiplied by 100 to get the correct percentage:

0.64 × 100 = 64%

We can see that this gives us the exact same answer as the first method: 16/25 as a percentage is 64%.

Note, the final percentage is rounded to 2 decimal places to make the answer simple to read and understand.

A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose?

Answers

Answer:

51

Step-by-step explanation:

let's set the starting number as x

1. x times 2 = 2x

2. 2x- 138

3. result = 102

So, 2x-138 = 102

Now lets work backwards to solve for x.

1. 2x = 102

x = 51

So the starting number was 51.

Answer: 120

2x - 138 = 102
+138 +138
(x=the missing number)

2x =240

240\2 = 120

x=120

Ayuda por favor

Sea ABC un triángulo equilátero de la 2a y altura h
como se muestra en la figura. Si se traza una línea
horizontal que divide la altura del triángulo en dos
partes iguales formando 2 figuras geométricas de
igual altura, entonces el cociente entre el área del
triángulo AMN y el cuadrilátero BMNC es:

Answers

A partir de la definición de razón y la teoría de semejanza entre triángulos, la razón del área del triángulo AMN y el área del cuadrilátero BMNC es equivalente a 1/3.

¿Cómo determinar la medida de un lado de un triángulo desconocido?

En este problema tenemos un sistema formado por dos triángulos similares, la semejanza entre los dos triángulos se debe a la colinealidad entre los segmentos de línea AP' (triángulo pequeño) y AP'' (triángulo grande), así como de los lados AM y AB, así como los lados AN y AC, así como los mismos ángulos en la misma distribución. (Semejanza Lado - Ángulo - Lado)

En consecuencia, obtenemos las siguientes proporciones:

AP'/AP'' = MN/BC = 1/2     (1)

Finalmente, la proporción entre el triángulo AMN y el cuadrilátero BMNC es:

[tex]\frac{AMN}{ABC - AMN} = \frac{\frac{1}{2}\cdot a \cdot \left(\frac{1}{2}\cdot h \right)}{\frac{1}{2}\cdot (2\cdot a) \cdot h - \frac{1}{2}\cdot a \cdot \left(\frac{1}{2}\cdot h \right)} = \frac{\frac{1}{4}\cdot a\cdot h }{a\cdot h - \frac{1}{4}\cdot a \cdot h }[/tex]

[tex]\frac{AMN}{ABC - AMN} = \frac{\frac{1}{4} }{\frac{3}{4} } = \frac{1}{3}[/tex]

A partir de la definición de razón y la teoría de semejanza entre triángulos, la razón del área del triángulo AMN y el área del cuadrilátero BMNC es equivalente a 1/3.

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A section of a tessellated plane is shown. Which type of symmetry does the tessellated plane have? translational and rotational rotational and reflectional reflectional and translational glide reflectionalA section of a tessellated plane is shown. Which type of symmetry does the tessellated plane have?

translational and rotational

rotational and reflectional

reflectional and translational

glide reflectional

Answers

Answer:

The given tessellated plane has translational and rotational symmetry. From the given options, we find that option A is correct.

Step-by-step explanation:

Concept: The symmetry has to be decided in such a way that when it applies to a figure, we get exactly the next figure. In the given figure, we have translational and rotational symmetries. We can translate the triangles to the next position and get the same triangle. Or we can rotate the triangle about the point of contact and get the same triangle.

For example, take the top left triangle. If it is translated towards approximately 30° direction, then we will get the triangle present at the top.

Or when we turn that triangle about the point of contact of that and the topmost triangle, then we can get the topmost triangle.

But there is no reflectional symmetry due to the absence of symmetry line.

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The graphs below have the same shape. The equation of the blue graph is F(x) = x^3. What is the equation of the red graph?

Answers

Answer:

g(x) = x³ - 2

(option B)

Step-by-step explanation:

because the shape of the graph has not changed, we know that there was no direct change to x

(this would have looked like 2x³ instead of x³)

and because the graph was not shifted along the x-axis (left or right), we know that the change did not happen inside the parenthesis

(this would have looked like (x³ - 3) instead of (x³) )

we know that the only change that has happened to this graph was a downward shift along the y-axis  which can be expressed as

g(x) = x³ - 2

The equation of the red graph will be g(x) = x³ - 2.Option B is correct.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

We know that there was no immediate change to x since the graph's form has not altered. Instead of , this would have appeared as 2x³.

Thus we can be confident that the change did not occur inside the parenthesis since the graph was not moved down the x-axis.

We may infer that this graph's sole modification was a downward shift along the y-axis, which is written as;

g(x) = x³ - 2

The graph is also attached in the attachment.

The equation of the red graph will be g(x) = x³ - 2.

Hence option B is correct.

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Translate to an equation then solve the equation. Seven times the difference of some number and 2 amounts to the quotient of 196 and 14. (Type the question using x as the variable. Do not simplify.) x= ____

Answers

Create the equation, then solve for x

Answer:

x = 4

Step-by-step explanation:

7 * ( x-2) = 196/14

7x -14 = 14

7x = 28

x = 4

Given the function h(x) = 3(5)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average rate of change of each section. (4 points) Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points) (10 points)

Answers

Answer:

For section A, the average rate of change is 12. For section B, the average rate of change is 300. The average rate of change in Section B is greater than Section A by 25. The rate of change keeps on increasing because the slope of the function is increasing.

Step-by-step explanation:

Concept: For a function f(x), the rate of change is given by [tex]\frac{f(x_{2})-f(x_{1}) }{x_{2}-x_{1} }[/tex]. Given function is h(x) = 3(5∧x).

For x = 0 to x = 1, the value of function would be f(0) = 3 to f(1) = 15.

The rate of change would be (15-3) / (1-0) = 12.

For x = 2 to x = 3, the value of function would be f(2) = 75 to f(3) = 375.

The rate of change would be (375-75) / (3-2) = 300.

The average rate of change in Section B is greater than Section A by

300 / 12 = 25.

Looking at the function, that is h(x) = 3(5∧x), we see that this function is an increasing function. The slope of an increasing function keeps on increasing with the value of x. The rate of increase is also a slope. That is why the rate keeps on increasing.

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Find the radius of this sphere The calculate the volume of the sphere?

Answers

Answer: r = 121.92 cm

              Volume = 4/3 x 3.14 x [tex]121.92^{3}[/tex]

              7587404.65

Step-by-step explanation:

The radius is given. It's the distance from the center of the sphere to the end. The radius is 4 ft. 1 ft is 30.48cm so 4ft is 121.92cm  

(radius) r = 121.92 cm

Volume = 4/3 x 3.14 x [tex]121.92^{3}[/tex]

             = 4/3 x 3.14 x 1812278.18

             = 4/3 x 5690553.49

             = 7587404.65

Which Graph Represents A function ?

NEED ANSWER ASAP !!!!

Answers

Answer:

The very last one is a function

Step-by-step explanation:

The last one is a function because there are no y values that repeat. For example, If the points on one graph are like this; (1, 3) (2, 3); then it cannot be a function, the y values cannot repeat if it is a function.

To make things easier, just try to imagine vertical drawing lines through each point in every graph, if this imaginary vertical line passes more than one point in any graph, then that graph is not a function.

I hope this helps!! :D

Answer:

The last graph represents a function.

Explanation:

A function cannot be one-to-many, i.e., one value of x cannot produce multiple values of y.

In the first graph, when x = 1, y = 3 and y= -2, so it is not a function.

In the second graph, when x = 2, y = 2 and y = -2, so it's not a function.

In the third graph, when x = -3, y = 2 and y = -2, so it's not a function.

∴ In all the graphs except the last, single values of x give multiple values of y on the graph, so they are not functions.

The graphs below have the same shapes. What is the equation for the red graph? g(x)= A g(x) = 2^x + 5 B 2^x - 5 C. g{x} = 2^x+5 D G(x) = 2^x-5

Answers

This isn’t an answer, but if you attached the graph to the question I would be more than happy to help. The question isn’t possible to answer without the graph.

Which of the following best describes the graph below?

Answers

The correct option is option D: This is the graph of one to one function.

Function is a relationship between two sets X and Y where set X is domain and set Y is codomain.

If we draw a vertical line and it crosses the graph only once at all locations, the relation is a function and this relation will be one-one.

by checking all the options

Option A: If we draw a vertical line parallel to y-axis in this at any location then it crosses the graph only once. So it is a function with one-one relation. Therefore option A is incorrect.

Option B: Linear function is a function in which highest degree of variable is 1 and it also describes the straight line. From the graph, it is clear that it is not a straight line. Therefore option B is incorrect.

Option C: If we draw a vertical line parallel to y-axis in this at any location then it crosses the graph only once. So, it is surely a function. Therefore option C is incorrect.

Option D: If we draw a vertical line parallel to y-axis in this at any location then it crosses the graph only once. So, it is surely a one-one function. Therefore option D is correct.

The correct option is option D: This is the graph of one-to-one function.

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Fraudulent financial reporting, misappropriation of assets Misappropriation of assets, fraudulent financial reporting Misdating stock options, misappropriation of assets, Cooking the books, misdating stock options. How will the divided structure of the proposed government prevent this threat from becoming a reality? Please I need help with this question asap On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2). How do the areas of the parallelograms compare? The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2. The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2. The area of parallelogram 1 is equal to the area of parallelogram 2. The area of parallelogram 1 is 2 square units less than the area of parallelogram 2 You just looked at the graph of this system of equations. Why will the lines never intersect? y = x + 5 y = x 3 2. On the snow day, 8 kids from the neighbor-hood gathered to build snowmen. The kidsused two buttons as the eyes on each snowman.7 more kids joined to make snowmen and usedbuttons for the eyes, too. How many buttonswere used to make the snowmen? Briefly describe the early battles of the civil war. What did Nikola Tesla and Marie Curie both have in common? help me out asap!please and thank you Solve (X+8)=9 absolute value equation PLEASE HELP Which of these is an advantage of an MRI over a CT scan a. it is faster b. the images are less expensive c. it uses safer compounds to produce contrast d. it will not cause claustrophobia A Uniform Resource Locator (URL) is an Internet address that performs which task? 1) Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 5 inches.a) What is the probability that an 18-year-old man selected at random is between 70 and 72 inches tall? (Round your answer to four decimal places.)b) If a random sample of twenty-six 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches? (Round your answer to four decimal places.)c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?!) The probability in part (b) is much higher because the mean is larger for the x distribution.!!) The probability in part (b) is much lower because the standard deviation is smaller for the x distribution. !!!) The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.!!!!) The probability in part (b) is much higher because the mean is smaller for the x distribution. !!!!!) The probability in part (b) is much higher because the standard deviation is larger for the x distribution.2) Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean = 66 and estimated standard deviation = 45. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed.a) What is the probability that, on a single test, x < 40? (Round your answer to four decimal places.)b) Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x? Hint: See Theorem 6.1.!) The probability distribution of x is approximately normal with x = 66 and x = 45.!!) The probability distribution of x is approximately normal with x = 66 and x = 22.50. !!!) The probability distribution of x is approximately normal with x = 66 and x = 31.82.!!!!) The probability distribution of x is not normal.c) What is the probability that x < 40? (Round your answer to four decimal places.)d) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.)e) Repeat part (b) for n = 5 tests taken a week apart. (Round your answer to four decimal places.)f) Compare your answers to parts (a), (b), (c), and (d). Did the probabilities decrease as n increased?YesNOg) Explain what this might imply if you were a doctor or a nurse.!) The more tests a patient completes, the weaker is the evidence for lack of insulin.!!) The more tests a patient completes, the stronger is the evidence for lack of insulin. !!!) The more tests a patient completes, the weaker is the evidence for excess insulin.!!!!) The more tests a patient completes, the stronger is the evidence for excess insulin. In your own words:a. Describe at least three factors that contributed to the Industrial Revolution.b. Explain how these factors were important. Sara can travel 23 feet in 11 hours. Please calculate Sara's rate of speed. (round to 2 decimal places)