1. What is 7/4 as a mixed number?
A. 17/4
B. 13/4
C. 3/4
D. 11/4

Using it's definition, the probabilities are given as follows:

The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.

The total number of bulbs in this problem is given as follows:

6 + 9 + 5 = 20.

Six of them are red, hence the probability of a red bulb is:

p = 6/20 = 0.3 = 30%.

Nine of them are blue, hence the probability of a blue bulb is:

p = 9/20 = 0.45 = 45%.

Five of them are green, hence the probability of a green bulb is:

p = 5/20 = 0.25 = 25%.

The probability of a red or blue bulb is:

p = 0.3 + 0.45 = 0.75.

The probability of a blue or green bulb is:

p = 0.45 + 0.25 = 0.6.

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A story that can be represented using the equation y=x+1/5x is "John has an apple and he cut another apple into 5 equal parts and took on part. What's the rural fraction of apple that he has?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, if John has an apple and he cut another apple into 5 equal parts and took on part.

This can be illustrated as:

y = x + 1/5x

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Answer:

you can use a graphing calc

Step-by-step explanation:

Answer:

See the answer below.

Step-by-step explanation:

These two circles are similar objects.

The ratio of a corresponding part is a: b.

The area ratio is a²: b²  and the volume ratio is a³ : b³

Therefore  if AE : CD which is 2:3

The area ratio  4 :9

The volume ratio is 8: 27

The relation between both circles is the area of circles in ratio to the radius and both circles are similar circles.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circle objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

Given two circle

Circle 1 = radius 2

Circle 2 = radius 3

All circles are similar objects so their area ratio is radius ratio.

(Area of circle 1)/(Area of circle 2) = (radius 1)/(radius 2)

(Area of circle 1)/(Area of circle 2) = 4/9 = 2/3

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9514 1404 393

Answer:

  F or J

Step-by-step explanation:

The final two transformations in all choices are ...

If the rotation is clockwise, the translated figure must have a shape like this:

  ┌

Such a shape can be obtained only by reflection across the east-west street. As the first attachment shows, translation east of the reflected figure, then rotation 90° CW will locate Rooftop 2 approximately as shown in the given drawing.

__

If the rotation is counterclockwise, the translated figure must have a shape like this:

  ┘

This shape can only be obtained by reflection across the north-south street. That reflection and subsequent translation will leave the figure north of the east-west street. A 90° CCW rotation about a suitably chosen point can place it south of the east-west street, in the location shown in the given drawing.

__

The first attached figure was obtained by the sequence described in choice F. The second attached figure was obtained by the sequence described in choice J. The sequence of transformations is shown as red after the reflection, purple after the translation east, then blue after the rotation about the indicated point.

Both F and J are appropriate answer choices.

_____

Additional comment

It can be proven algebraically that choices F and J can both produce exactly the same transformation for some combination of translation and center of rotation. It seems likely that one of these answers will be preferred by your computer. You may want to discuss this question with your teacher.

Answer:

It would be C.

Step-by-step explanation:

Dave has 4 times as many figures as Ben. Ben has y action figures, so it would be 4y. Then Jeff has 5 more action figures than Dave which would be addition, all together it would be (4y+5) more action figures) I hope that helps

The word or phrase that describes the chances of Elizabeth winning the mountain bike if she buys all the tickets is likely.

If Elizabeth buys all the tickets, then she will most definitely win the raffle because she will have the winning ticket.

In probability, when an event is certain to happen, it is said that the event is "likely." It is therefore likely that Elizabeth will win the raffle.

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The probability that exactly four of the selected bulbs from the pack of 10 bulbs is defective is 1/120.

For the given question;

Thus, the probability that exactly four of the selected is defective.

P = ⁴C₄  / ¹⁰C₃

P = 1/120

Thus, the probability that exactly four of the selected is defective is 1/120.

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Answer:

reeg

Step-by-step explanation:

Answer:

The answer is approximately 37°

Step-by-step explanation:

let 0 be ß

cosß=4/5

ß=cos-¹(4/5)

ß=36.869

ß≈37°

Answer:

456 drinks

Step-by-step explanation:

just multiply 11.40×40 and you get 456. that's how many drinks you can afford. hope i helped.

Answer:

the ones I will write doles not go with 180

so remove them ok

they are 3 and 9

if wrong correct me plsssssss

Mark me brainliest plsss

I will always help you understanding your assingments

have a great day

#Captainpower:)

(a) The volume V of the box as a function of x is V = 4x^3-60x^2+200x

(b) The domain of V in interval notation is 0<x<5,

(c) The length L , width W, and height H of the resulting box that maximizes the volume is H = 2.113, W = 5.773, L= 15.773

(d) The maximum volume of the box is 192.421 cm^2.

In the given question,

A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.

(a) We have to express the volume V of the box as a function of x.

If we cut out the squares, we'll have a length and width of 10-2x, 20-2x respectively and height of x.

So V = x(10-2x) (20-2x)

V = x(10(20-2x)-2x(20-2x))

V = x(200-20x-40x+4x^2)

V = x ( 200 - 60 x + 4x^2)

V = 4x^3-60x^2+200x

(b) Now we have to give the domain of V in interval notation.

Since the lengths must all be positive,

10-2x > 0 ≥ x < 5 and x> 0

So 0 < x < 5

(c) Now we have to find the length L , width W, and height H of the resulting box that maximizes the volume.

We take the derivative of V:

V'(x) = 12x^2-120x+200

Taking V'(x)=0

0 = 4 (3x^2-30x+50)

3x^2-30x+50=0

Now using the quadratic formula:

x=\(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

From the equationl a=3, b=-30, c=50

Putting the value

x=\(\frac{30\pm\sqrt{(-30)^2-4\times3\times50}}{2\times3}\)

x= \(\frac{30\pm\sqrt{900-600}}{6}\)

x= \(\frac{30\pm\sqrt{300}}{6}\)

x= \(\frac{30\pm17.321}{6}\)

Since x<5,

So x= \(\frac{30-17.321}{6}\)

x= 2.113

So H = 2.113, W = 5.773, L= 15.773.

d) Now we have to find the maximum volume of the box.

V = HWL

V= 2.113*5.773*15.773

V = 192.421 cm^3

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Answer:

12.6 sq. inches.

Step-by-step explanation:

I got this right on a test.

Answer:

12.6

Step-by-step explanation:

I got it right on the test

Using the TI-83 Plus/TI-84 Plus calculator, the probability that the sample mean (x) will be between 25 and 27 is calculated to be approximately 0.7468. The 55th percentile of the population is estimated to be 26.38.

(a) To find the probability that x will be between 25 and 27, we use the Central Limit Theorem and assume that x follows a normal distribution.

With a sample size of 126, the mean of the distribution is still 26 (the same as the population mean), but the standard deviation is now σ/√n = 3/√126 ≈ 0.2673.

Using the calculator's normal distribution function, we find the probability to be approximately 0.7468.

(b) To find the 55th percentile of the population, we want to determine the value below which 55% of the data falls. Using the inverse normal distribution function on the calculator, we input the percentile (55%) and the mean (26) with the standard deviation (3), and obtain an estimated value of 26.38.

This means that approximately 55% of the population has a value below 26.38.

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The correct value of p(x<8) is 1.875.

To determine how probable something is gonna occur, use probability. It is a number between 0 and 1, where 0 denotes the absence of a possibility and 1 denotes the existence of one. By dividing the number of favorable outcomes by the entire number of potential possibilities, the probability of an occurrence is determined.

To find the probability that is greater than 8, we need to integrate this probability density function from 5.5 to 20.5:

P(X < 8) = ∫[5.5,20.5] f(x) dx

= ∫[5.5,20.5] (1/8) dx

= [x/8] from 5.5 to 20.5

= (20.5/8) - (5.5/8)

= 15/8

= 1.875.

Therefore, the correct probability is 1.875.

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Answer:

5^-18

Step-by-step explanation:

here is the answer please mark me as the brainliest

it takes 1.265 minutes for Kylie to complete one full rotation around the Ferris wheel.

Given, the Ferris wheel has a radius of 11 m.

The Angular speed of the Ferris wheel is 5 radians/ minute.

To solve this question, we first need to convert the angular speed and angular distance to linear speed and linear distance.

Angular quantity* radius= Linear quantity

Therefore, linear speed(V)= radius * angular speed

= 11*5 m/sec

=55 m/sec

Angular distance needed to be covered to complete one full rotation= 2π

Therefore, linear distance= radius* angular distance

= 11*2π

=22π

Time taken to complete on rotation= distance/ speed

= \(\frac{22}{55}\)*π minutes

= \(\frac{2}{5}\)*π minutes

= 1.265 min

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Answer:15 i think

Step-by-step explanation:

mode is the number that occurs the most

Answer:

-9

Step-by-step explanation:

I hope this helps!

Answer:

-9

Step-by-step explanation:

Please make me Brainliest

Answer:

12.5

Step-by-step explanation:

So it is 5, 6, 13, 18, 18

Median is 13

average of 5 and 6 is 5.5

average of 18 and 18 is 18

18-5.5=12.5

The effective interest method is used to amortize the bond premium. The carrying value of the bond increases by the effective interest each period, and the premium is amortized over the life of the bond. The journal entry for bond issuance is as follows: Dr. Cash 205,000, Dr. Premium on Bonds Payable 5,000, Cr. Bonds Payable 210,000

The effective interest method is a method of amortizing bond premium or discount that takes into account the time value of money. The effective interest is the interest that would be earned if the bond were purchased at its market value and held to maturity. The carrying value of the bond increases by the effective interest each period, and the premium is amortized over the life of the bond.

The journal entry for bond issuance records the proceeds from the sale of the bonds, the premium on bonds payable, and the bonds payable. The proceeds from the sale of the bonds are equal to the face value of the bonds plus the premium.

The premium on bonds payable is a liability that represents the excess of the issue price of the bonds over their face value. The bonds payable account is a long-term liability that represents the amount that the company owes to the bondholders.

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The equation 3x+2y=14 can be written as in the slope-intercept form is y = (-3/2)x + 7.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation of the line is:

3x + 2y = 14

The slope-intercept form is:

y = mx + c

Here m is the slope of the line and c is the y-intercept.

After arranging:

2y = -3x + 14

y = (-3/2)x + 7

Thus, the equation 3x+2y=14 can be written as in the slope-intercept form is y = (-3/2)x + 7.

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Answer:

In bold.

Step-by-step explanation:

a.  (x+5)^2 – 3x(x+5)     x+5 is common

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

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

b.  (x + 5)(5 - 2x) = 0

x = -5, 2.5.

2a.   Area of the square = (x + 5)^2

Area of triangle AEB

= 1/2 * base * height  

I am assuming that  H is the centre of AB , so

Area = x*x

= x^2.

2b

6x^2 = (x + 5)^2

6x^2 = x^2 + 10x + 25

5x^2 - 10x - 25 = 0

x^2 - 2x - 5 = 0

x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2

x = -1.45, 3.45.

 (we ignore the negative).

Answer:

Arc KL \(=23\)

Arc OM \(=113\)

Step-by-step explanation:

We know that Angle NPM is equal to 90 degrees.

Therefore, Angle KPM is also equal to 90 degrees.

We are told that Arc LM is equal to 67.

Thus, the measure for Arc KL is equal to \(90-67=23\)

We also know that Angle OPN is equal to Angle KPL.

Therefore, the measure of Arc ON\(=23\)

Using that information, we know that Arc OM is equal to \(90+23=113\)

Hope I helped!

π/3 = 60° so we will find the trigonometric function for 60°.

Given that θ = π/3, we need to evaluate each trigonometric function,

π/3 = 60°

The trigonometric functions can be evaluated as follows when is equal to π/3:

Sine: The sine of three is three and a half.

Cosine (cos): 1/2 is the cosine of /3.

Tangent: The tangent of /3 is equal to (3/2) / (1/2), which is written as 3.

Cosecant (csc): The sine's reciprocal, or 2/3, is the cosecant of /3.

Secant (sec): The reciprocal of the cosine, which is 2, is the secant of /3.

Cotangent (cot): The reciprocal of the tangent, which is 1/3 or 3/3, is the cotangent of /3.

These are the values of the trigonometric functions at θ = π/3.

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The pond will lose about 17.89 gallons of water in 17 hours.

Given that the leaking pond loses 20 gallons of water in 19 hours. To find out how many gallons of water it will lose in 17 hours we have to use the unitary method.

We will multiply 17 with the ratio of the number of hours it loses 20 gallons of water. Here's how to solve the problem.Let the number of gallons the pond loses in 17 hours be x gallons.Then, the ratio of gallons of water lost to hours taken is 20:19Therefore, 20 gallons of water are lost in 19 hoursi.e., (20/19) gallons of water are lost in 1 hourThen, the number of gallons of water lost in 17 hours will be:More than 100 words17 hours is less than 19 hours.

Therefore, the number of gallons of water lost in 17 hours will be less than 20 gallons. So, to find out how many gallons of water it will lose in 17 hours, we will multiply 17 with the ratio of the number of hours it loses 20 gallons of water. Here, we know that 20 gallons of water are lost in 19 hours, thus the ratio of gallons of water lost to hours taken is 20:19.

Therefore, (20/19) gallons of water are lost in 1 hour.

Thus, the number of gallons of water lost in 17 hours will be:17 × (20/19) = 17.89 gallons.

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Answer:

(x-12) = x/5

Step-by-step explanation:

Here, we want to write an equation

spending $12 out of the x equals that she has 1/5 of the original x

Mathematically, we have this as;

(x-12) = 1/5(x)

or (x-12) = x/5