A
X -2
y
C
4
-1
1
−2
10. Construct an exponential equation for the data presented in the table.
y = 2 (1)x
y = 1. (2)x
y = 2.(x) ¹
y = 1. (x)²
B
0
1
D
1
2
2
4

The amounts of time it takes for a student to complete a statistics quiz uniformly distributed between 30 and 60 minutes. One student is selected at random. Find the probability of the following events.

a) the student requires more than 55 minutes to complete quiz

b) the student completes the quiz in a time between 30 and 40 minutes

c) the student completes the quiz in exactly 37.23 minutes

A student to complete a statistics quiz uniformly distributed between 30 and 60 minutes The probability of the events are a) 1/6, b )1/3 c) 0

Given, X similar U( a = 30, b = 60)

f(x) =1/60-30, 30 ≤ X ≤60

f(x) = 1/30, 30  ≤ X  ≤60

a) the student requires more than 55 minutes to complete quiz

P(X > 55) = ∫_55^60▒f(x)dx = ∫_55^60▒〖1/30dx〗 = 1/30[x]6055 = 1/6

b) the student completes the quiz in a time between 30 and 40 minutes P (30 < X < 40) = ∫_30^40▒f(x)dx == ∫_30^40▒〖1/30dx〗 = 1/30[x]4030 = 1/3

C) the student completes the quiz in exactly 37.23 minutes P(X = 37.23) = ∫_37.23^37.23▒f(x)dx=∫_37.23^37.23▒〖1/30dx〗 = 0

A student to complete a statistics quiz uniformly distributed between 30 and 60 minutes The probability of the events are a) 1/6, b )1/3 c) 0

for more about probability and events https://brainly.com/question/13502327

#SPJ4

Answer:

Step-by-step explanation:

-5/9* -4 = 20/9

Answer=20/9

When you multiply them, there is nothing to simplify in any of them. So when you multiply, the negatives become a positive because -*- is + so the answer is 20/9.

Answer:

x=(-3-√17)/4

x=(-3+√17)/4

Step-by-step explanation:

2x^2+3x-1=0

it can rewrite as,

x^2+3x/2-1/2=0

now adding and subtracting (3/4)^2 , in R.H.S,

x^2+3x/2+9/16-9/16-1/2=0

(x+3/4)^2-17/16=0

(x+3/4)^2-((√17)/4)^2=0

(x+3/4+√17/4)(x+3/4-√17/4)=0

x=(-3-√17)/4

x=(-3+√17)/4

Answer:

If, he got 94 marks for his sixth quiz, then, he will be able to maintain his required grade for his scholarship.

Step-by-step explanation:

given-

Joven's scores in five of his quizzes in mathematics are 85, 88, 95, 86, and 92.

let, the x score he gets for his sixth quiz.

then, he will be able to maintain his required grade for his scholarship.

he needs an average quiz grade of 90 to maintain his required grade for his scholarship.

according to the question--

using the formula of average=>

(85+88+95+86+92+x)/6=90

=>x=540-446

=>x=94

if, he got 94 marks for his sixth quiz, then, he will be able to maintain his required grade for his scholarship.

link-https://brainly.com/question/1438042

#SPJ4

Answer:

1,3,5,9,15,45

Step-by-step explanation:

All factors of 45 to get a whole number

Answer:

90, 135, 180, 225, 270... ∞

Step-by-step explanation:

All multiples of 45 are divisible by n

Hope this helps and feel free to mark this as brainliest :)

The calculation shown in the number line is -4/10 + ( -7/10) = - 1 1/10

This is a sequential arrangement of numbers in a straight line. The scale of number line is shown to suit the problem at hand.

The number line in the question here has a scale of 1. This means that every number represent a unit. However in between the numbers are 10 strokes.

The value of each stroke is gotten from division of one by ten which is

1 ÷ 10 = 1/10

So every line in the number line represent 1/10. The positive side is 1/10 while the negative side is -1/10

The calculation done here is counting from 0 in the negative direction to get -4/10. Then adding -7/10 units to arrive at the point which  is -1 1/10

Read more on number line here: https://brainly.com/question/12399107

#SPJ1

Answer:

11 lawns

Step-by-step explanation:

$65 × 10 = $650

$695 - $650 = $45

So Mark will need to mow at least 11 lawns.

Answer:

A. the line is parallel to the x axis

Step-by-step explanation:

B is incorrect because it will be intersecting the y axis therefore not being parallel

C is incorrect because It doesn't pass through the origin (origin is (0, 0) btw) it actually passes thru the point (0, 8) so this choice is wrong

D is incorrect because It doesn't give us enough info that the slope is 8 so we can't tell. Also if y = 8 it will just be a straight line so the slope will actually be 0 im pretty sure

A is correct because it is parallel if y = 8 and x axis kept going in a straight line they will never touch so that means it it parallel

In case whereby the the Roman Empire began in 31 B.C. and fell to the Goths in A.D. 476,the Roman civilization lasted for 445 years.

The Roman Empire  can be described as the post-Republican period that can be associated with the ancient Rome , it can be described as the empire that came into the lime light around the 8th century BC , and actually came to an end around  5th century AD and the period it laste can be calculated below as :

In this case as regards to the question, we can calculate how long the Roman civilization lasted as [476+(-31)]

=445 years.

Learn more about Roman Empire at:

https://brainly.com/question/15579379

#SPJ1

Answer:

gay

Step-by-step explanation:

gay gay gay gay gay gay

Answer: i am

Step-by-step explanation:Black parents

Answer: f(1)=0

Step-by-step explanation:

f(x)=1-x

f(1)=1-1

f(1)=0

Two separate maps exist for North Carolina. The first map has a scale of 1 cm to 2 km. Durham and Cary are separated by 15 cm. The second map has a scale of 1 cm to 5 km. On the second map, the separation between Durham and Cary is 18 cm.

The measurement of the distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common language can refer to physical length or an assumption based on other factors (e.g. the "two counties over"). Given that spatial thinking is rich source of conceptual metaphors in human thought, the term is also frequently used metaphorically to denote a measure of the degree of separation or statistical distance between two similar objects (such as edit distance between strings of text or probability distributions) (as exemplified by distance between people in a social network). A metric space is mathematical concept that is used to define the majority of these conceptions of distance, both literal and figurative.

In social sciences, distance can refer to a qualitative measurement of separation, such as social distance or psychological distance.

if

1cm to 2km map= 15cm distance

1cm to 5km map= 15+3cm distance

                           = 18cm

To know more about distance visit: https://brainly.com/question/15172156

#SPJ9

Answer:

according to the image, it looks like you would move 6 more points to the right, but i might be wrong.

Step-by-step explanation:

If the point that you are dilating is directly above the point of dilation and you are dilating by 3, you take the distance from the point of dilation and the point you are dilating and you multiply it by 3.

By using the rotation formula, the image of the point (- 6, 4) after rotating 180° counterclockwise about the origin is equal to point (6, - 4).

In this problem we find the coordinates of the image, which is the result of rotating a point 180° counterclockwise (+ 180°) about the origin. Let be P(x, y) = (x, y) the coordinates of the point set on Cartesian plane, then the coordinates of the image are defined by the following expression:

P'(x, y) = (x · cos θ - y · sin θ, x · sin θ + y · cos θ)

Where θ is the angle of rotation, in degrees.

If we know that P(x, y) = (- 6, 4) and θ = 180°, then the coordinates of the image are, respectively:

P'(x, y) = (- 6 · cos 180° - 4 · sin 180°, - 6 · sin 180° + 4 · cos 180°)

P'(x, y) = (6, - 4)

To learn more on rotations: https://brainly.com/question/1571997

#SPJ1

The two consecutive whole numbers that √72 lies between are 8 and 9.

As per the question statement, we are supposed to find two consecutive whole numbers that √72 lies between.

We know,

8 squared is 64 and 9 squared is 81

since 72 lies in between 64 and 81, then the square root must lie between 8 and 9 which are also whole numbers and consecutive too.

Hence we accept out answer to be 8 and 9.

Hence the two consecutive whole numbers that √72 lies between are 8 and 9.

To learn more about whole numbers, click on the link given below:

https://brainly.com/question/19161857

#SPJ1

Answer:

t = 10b + 10c

Step-by-step explanation:

As stated in the problem, 1 bag holds 10 doughnuts so that give us 10b since we don't know how many bags were bought/sold but we do know how many comes in each. Same goes for cartons.

Were asked to write a formula for t, and since we don't know how many bags(b) or cartons(c) were sold, our t remains t.

The total cost that Jose will pay for the photocopies is $102.50.

From the information, the following can be deduced:

Number of letter size photocopies = 10

Amount for each color photocopies = 2.75

Number of black and white photocopies = 100

Amount for each = 0.75

Therefore, the total cost will be:

= Cost of colored + Cost of black and white

= (10 × 2.75) + (100 × 0.75)

= 27.5 + 75

= $102.50

Learn more about money on:

brainly.com/question/24373500

#SPJ1

Jose went to a stationery store and took out 10 letter size color photocopies at 2.75 each and 100 letter size black and white photocopies at 0.75 each. How much did he pay in total for all the photocopies?

Answer:70.409

Step-by-step explanation:73.261-2.852

Answer:

Yes, you would cancel them out.

Step-by-step explanation:

You cannot have negatives on the sides of a shape for perimeter.

From the function table and verbal description of the two functions, we can say that; Function 2 has a greater y-intercept

The y -intercept of a graph is the point where the graph crosses the y -axis. Now, due to the fact that a function must pass the vertical line test , it means that a function can have at most one y -intercept .

The y -intercept is often referred to with just the y -value.

Now, we are told given table representing function1 which is an exponential function and we can see the x and y-values. Now, the y-intercept occurs when x = 0 and in this case, at x = 0, y = 20. Thus, the y-intercept of function 1 is 20.

Now, for the second function, we are told that it has 15 pitches but that it crosses the vertical axis at y = 22. Thus, from, y-intercept definition, we can say that the y-intercept of function 1 is 22.

Read more about y-intercept at; https://brainly.com/question/26249361

#SPJ1

The proportional linear equation relationship has a unit rate of 1.6

From the question, we have the statement to be:

The above means that

5 * t = 8* d

Evaluate the products

So, we have the following equation

5t = 8d

Divide both sides of the equation by 5

So, we have the following equation

t = 1.6d

Next, we plot the graph of the equation

See attachment for the graph of the equation t = 1.6d

Also, we have

t = 1.6d

The above equation is a proportional linear equation

A proportional linear equation is represented as

t = md

Where m represents the unit rate

So, we have

m =1.6

Hence, the unit rate of the relationship is 1.6

Read more about linear equation at

https://brainly.com/question/14323743

#SPJ1

The value of the hypotheses of the right angled triangle is found as √130.

For the given right angled triangle,

The two side legs are given as 7 and 9.

By the Pythagorean theorem;

H² = P² + B²

Put the values;

H² = 7² + 9²

Simplifying;

H² = 49 + 81

H² = 130

Taking square root both sides.

H = √130

Thus, the value of the hypotheses of the right angled triangle is found as √130.

To know more about the right angled triangle, here

https://brainly.com/question/64787

#SPJ13

first function: y = ([tex]\frac{3}{4}[/tex])x

Second function: y=[tex]\frac{12}{x}[/tex]

Third function y = 30 + 2x.

A) In the first function, y directly depends on x.

first formula: y = ([tex]\frac{3}{4}[/tex])x

2) Graph: It has a slope of ([tex]\frac{3}{4}[/tex]) and is a straight line that goes through the origin. According to the slope, the function changes at a rate of 3 units for every 4 units of x-value growth, or 0.75 units for every additional unit of x-value growth.

3) Use a real-world example

According to a cake recipe, 3 cups of sugar should be combined with every 4 cups of flour. Therefore, if you have 12 cups of sugar, how much flour do you need?

Y = ([tex]\frac{3}{4}[/tex])x, so if x = 3, y =([tex]\frac{3}{4}[/tex])×12= 9.

Given that : the variation is direct, you must multiply the number of cups of sugar by the constant rate, which is ([tex]\frac{3}{4}[/tex])x, to determine how many cups of flour correspond to the specified amount of sugar.

B) The second equation has an inverse relationship between y and x.

Inverse variation causes either y = constant / x or y*x = constant.

In other words, if x increases, y will decrease by the same amount as x increases.

1) formula: y=[tex]\frac{12}{x}[/tex]

2) Graph: The hyperbola, a diminishing line extending from left to right, is the shape of this graph. Both the x-axis and the y-axis asymptote to zero. This implies that neither x nor y can be zero.

As the x-value gets closer to 0, the y-value gets closer to positive or negative infinity; conversely, as the y-value gets closer to 0, the x-value gets closer to positive or negative infinity.

The graph is a declining curve in the first quadrant if you pick the positive numbers (x and y are positive).

The graph has a declining slope in the third quadrant if you pick the negative values (x and y are negative)

3) An actual world instance.

a uniform motion's relationship between time and velocity.

If an object runs a constant distance, time slows down proportionately as velocity rises.

Give the distance between cities A and B as 100 kilometers.

How long will it take to get from point A to point B traveling at 50 km/h or 25 km/h?

100 kilometers = speed * time

at 50 km/h: t = [100 km] / [50 km/h] = 2 hours 100 km = 50 km/h * t

at 25 km/h: t = [100 km] / [25 km/h] = 4 hours; 100 kg = 25 km/h * t.

C) In the third scenario, x and y should not have an inverse variation or a direct variation.

There are infinite types of functions that are neither inverse variations nor direct variations, including trigonometric sine, exponential, logarithmic, exponential, linear (that do not pass through the origin), and exponential, quadratic, and exponential.

1) A function illustration is y = 30 + 2x.

2) Graph: The line has a slope of 2 and a y-intercept of 30.

3) A case in point

In order to create chairs, it costs 30 dollars to rent the facility plus 2 dollars for each chair, for a total cost of 30 + 2x.

To learn more about function visit :

brainly.com/question/8482199

#SPJ13

The probability of getting all 5 cards hearts 13C₅/ 52C₅.

The probability of an event occurring is defined by probability.

There are many instances in real life where we may need to make predictions about how something will turn out.

The outcome of an event may be known to us or unknown to us.

When this happens, we say that there is a chance that the event will happen or not.

Given : A five card poker card

To find : the probability of all hearts

Let E be the events of getting all 5 cards of hearts

therefore n(E)= [tex]13C[/tex]₅

As we know that probability is defined as total number of favourable outcomes divided by total number of possible outcomes.

Thus the required probability is 13C₅/ 52C₅

To know more about probability visit:

https://brainly.com/question/16484393

#SPJ13

The shaded angles in the given diagram can be named as:

1. ∠ABC; ∠1; and ∠B.

2. ∠JKM; ∠2; ∠K.

3. ∠CBJ ≅ ∠DHG

4. ∠FJH ≅ ∠AJB

5. m∠JAB = 75°.

6. m∠JBC = 130°.

We can name a given angle by:

1. The three angles can be named as:

Angle ABC or ∠ABC

Angle 1 or ∠1

Angle ∠B or ∠B.

2. The shaded angle can be named as:

Angle JKM or ∠JKM

Angle 2 or ∠2

Angle ∠K or ∠K.

Two angles with the same marks on a diagram are congruent to each other. Therefore:

3. ∠CBJ ≅ ∠DHG

4. ∠FJH ≅ ∠AJB

Angles that are congruent to each other have the equal angle measure, therefore:

5. ∠EFD ≅ ∠JAB

Therefore, If m∠EFD = 75°, then m∠JAB = 75°.

6.  ∠GHF ≅ ∠JBC

Therefore, If m∠GHF = 130°, then m∠JBC = 130°.

Learn more about angles on:

https://brainly.com/question/6752750

#SPJ1

[tex]\angle TIG \cong \angle AIN[/tex] by vertical angles, so [tex]\triangle TIG \cong \triangle NIA[/tex] by SAS.

The solution that will be eliminated when a quarterback throws an incomplete pass is –0.2 s can be eliminated because time cannot be a negative value

This is the equation used to trace the path made by a parabola. It is another name for quadratic equation.

We can say that the football traced a parabolic path represented by the equation h(t) = –16t2 + 40t + 7.

Parabolic equation will always produce two solutions then depending on the applicability of the solution the best option will be picked.

In this case time, which cannot be a negative value  hence option A is the correct answer

Read more on parabolic equations here: https://brainly.com/question/2956567

#SPJ1

Answer:

The function whose value at any number x is the smallest integer greater than of equal to x is called the least integer function.

Step-by-step explanation:

It is denoted by ⌈x⌉ It is also known as ceiling of x. For example ⌈3.578⌉ = 4 , ⌈0.78⌉ = 1 , ⌈-4.64⌉ = - 4.

The time it take for the plane to travel at 280 miles is 0.8 hours.

The plane flew at a constant speed between Boston and Philadelphia.

An equation relating the distance travelled in miles, d, to the number of hours flying, t, is d = 350t.

Therefore,

d = 350t

where

Therefore, let's find the time it will take to travel for 280 miles

d = 350t

d = 350 × t

280  = 350t

divide both sides by 350

t = 280 / 350

t = 0.8 hours

Therefore,

the time it will take to travel = 0.8 hours

learn more on distance and time here: https://brainly.com/question/6245812

#SPJ1

Answer:

1 + 3 < 1 · 2

Step-by-step explanation: