A textbook has 428 pages numbered in order starting with 1. You flip to a random page in the book in a way that it is equally likely to stop at any of the pages. What is the sample space for this experiment?

Answer:

This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.

Step-by-step explanation:

What we are asked here is imply to state how long in terms of distance would be Arielle position after 15 minutes

Now, 55 ft will take her 234 minutes

x ft will take her 15 minutes

x * 234 = 55 * 15

234x = 3825

x = 3825/234

x = 16.35 ft

This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.

After 15 minutes, Ariele would be 3.5 feet away from the rim.

Speed is the ratio of distance travelled to total time taken. It is given by:

Speed = distance / time

Ariele is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 234 minutes. Hence;

Ariele speed = 55 feet / 234 minutes

In 15 minutes, the distance covered is:

Distance = (55 feet / 234 minutes) * 15 minutes = 3.5 feet

After 15 minutes, Ariele would be 3.5 feet away from the rim.

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Answer:

1st answer

Step-by-step explanation:

Another way to say 2 coats is

to paint the fence twice

Also, that is the same as painting

2 identical fences

---------------

Tom's rate is:

+1%2F8+ = ( 1 fence ) / ( 8 hrs )

Huck's rate is:

+1%2F5+ = ( 1 fence ) / ( 5 hrs )

---------------------------

Let +t+ = the time in hrs for them

to paint 2 fences

+2%2Ft+ = ( 2 fences ) / ( t hrs )

---------------------------

+1%2F8+%2B+1%2F5+=+2%2Ft+

Multiply both sides by +40t+

+5t+%2B+8t+=+80+

+13t+=+80+

+t+=+6.154+

It will take them 6.154 hrs

2) They together will take 10.9 hrs or 120/11

3) josh will take 21/11 hrs or 1.9 hrs

4) Together they will take 36/13 or 2.8 hrs

2) Tom takes = 12 hrs

    Huck takes= 10hrs

We can aaply unitary method

together they will take= 1/12+1/10=2/t

11t=120;

t=120/11 or 10.9 hrs

3) Together kim and josh can clean the house together in = 3 hrs

   Kim takes = 7hrs

   Josh will take= 1/7+1/x=2/3

3x+21=14x

21=11x

x=21/11 or 1.9 hrs

4)  Jack makes baseball grounds in= 2 hrs

     Mike takes= 3 hrs

    Chris takes= 4 hrs

 Together they will take= 1/2+1/3+1/4=3/x

13x=36

x=36/13 or 2.8 hrs

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Answer:

$ 1360.37

Step-by-step explanation:

Suppose we call the original price of the lawnmower x.

That means, to get a discount, the equation would be,

x * 1 -  x * 6% = 1278.75

= (94/100) * x = 1278.75

= (47/50) * x = 1278.75

x = 1278.75 * 47 / 50

= 1360.37

Answer:

Y-intercept: 59

Step-by-step explanation:

Y=mx+b, in which b stands for y intercept

Answer:

59

Step-by-step explanation:

Question - Find the y-intercept of the following equation. Simplify your answer.

We write graphical equation as:

y = mx + b

where:

y: point on y axis

m: gradient/ slope (RISE/RUN)

x: point on x axis

b: y intercept (point where the line touches the y axis)

Now in:

y  =  –6 7  x  +  5 9

y-intercept = 59

Answer:

Probability = 0.2603

Step-by-step explanation:

Consider the steps below;

[tex]Probability of Experiment Involving Cats - 5 / 7,\\Probability That 4 Chosen Experiments Are All Involving Cats - ( 5 / 7 )^4,\\\\5 / 7 * 5 / 7 * 5 / 7 * 5 / 7 =\\\\Conclusion; Probability - 625 / 2401[/tex]

Solution; Probability = ( About ) 0.2603

Answer:

[tex]5[/tex]

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Answer:

124

Step-by-step explanation:

A circle is a curve sketched out by a point moving in a plane. The measure of the arc mFD is 124°.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

As we know that the angle made at the center of the circle is 360°. And it is mentioned that the measure of mFE is 146°, while mED is 90°. Therefore, the sum of all angles can be written as,

[tex]\angle FOE + \angle EOD + \angle FOD = 360^o\\\\146^o + 90^o + \angle FOD = 360^o\\\\236^o +\angle FOD =360^o\\\\\angle FOD = 124^o[/tex]

Thus, the measure of the arc mFD is 124°.

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Answer:

When we have a translation T(a, b) and we apply it to a ordered pair (x, y), the translated pair will be (x + a, y + b)

Here whe have the translation T(-2, 5)

a) if our pair is (2, 5) then:

T(-2, 5) applied to (2, 5) = (2 + (-2), 5 + 5) = (0, 10)

b) if our pair is (-1, 7)

T(-2, 5) applied to (-1, 7) = (-1 + (-2), 7 + 5) = (-3, 12)

Answer:

14^2/15

Step-by-step explanation:

70/15 simplifies to 14/3

14/3 X 14/5

= 14^2/15

Answer:

[tex]\frac{13}{4}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} +\bigg(\frac{1}{3}\div\frac{1}{6}\bigg)-\bigg(-\frac{1}{2}\bigg)\\=\frac{3}{4} + \bigg(\frac{1}{3}\times\frac{6}{1}\bigg)+\frac{1}{2}\\=\frac{3}{4} +2 + \frac{1}{2}\\=\frac{3}{4} +\frac{8}{4} + \frac{2}{4}\\=\frac{3+8+2}{4} \\=\frac{13}{4} \\= 3.25[/tex]

Answer:

a. 9

Step-by-step explanation:

[tex]k = \frac{9}{-3} = -3\\y = -3x\\-27 = -3x\\\frac{-27}{-3} = \frac{-3x}{-3} \\9 = x[/tex]

Answer:

a. 9

Step-by-step explanation:

because the orginal number was 9 and the newer one is -27 we can determine that y was multiplied by -3 so you would apply the same rule to -3 or x and you would get a product of 9 because two negatives equals a postive

Answer:

x+2y=4

Hope this helped

Answer:

1000000/8025 = 40000/321 (simplified)

1000/9596

Step-by-step explanation:

Hi there,

There is an alternative way to do this....

First it is important to understand what a reciprocal is. The reciprocal of any number x is the number 1/x. The reciprocal of a number is also its multiplicative inverse, which means that the number times its reciprocal must equal 1. For a number such as 2, the reciprocal would be 1/2. For a fraction such as 2/5, the reciprocal would be 5/2.

Finding the reciprocal of a decimal can be done in a number of ways.

Change the decimal to a fraction first.

Ex. 0.25 is 25/100 and is equivalent to the fraction 1/4. Therefore Its reciprocal would be 4/1 or 4.

Keep the decimal and form the fraction 1/?? which can then be or converted to a decimal.

Ex. 0.75 The reciprocal is 1/0.75. Using a calculator, the decimal form can be found by performing the operation: 1 divided by 0.75. The decimal reciprocal in this case is a repeating decimal, 1.33333....

After finding a reciprocal of a number, perform a quick check by multiplying your original number and the reciprocal to determine that the product is 1:

(0.25)(4) = 1.00

(0.75)(1.33....) = 1 but it is easier to see for sure with repeating decimals if you use the fractions instead of the decimals.

(3/4)(4/3) = 12/12 = 1

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Answer:

[tex]\fbox{\begin{minipage}{5em}13. 0.830\\14. 0.800\\15. 0.391\\16. 0.750\end{minipage}}[/tex]

Step-by-step explanation:

A right triangle with 3 sides: adjacent side, opposite side and hypotenuse (as shown in attached picture)

According to the trigonometric properties:

[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]

[tex]cos(theta) = \frac{adjacent}{hypotenuse}[/tex]

[tex]tan(theta) = \frac{opposite}{adjacent}[/tex]

[tex](adjacent)^{2} + (opposite)^{2} = (hypotenuse)^{2}[/tex]

[tex](adjacent)^{2} = (hypotenuse)^{2} - (opposite)^{2}[/tex]

[tex](opposite)^{2} = (hypotenuse)^{2} - (adjacent)^{2}[/tex]

Use the above formulas with corresponding sides:

[tex]13) cos(theta) = \frac{9}{3\sqrt{13} } = 0.83[/tex]

[tex]14) sin(theta) = \frac{\sqrt{5^{2}-3^{2} } }{5} = \frac{4}{5} = 0.8[/tex]

[tex]15) sin(theta) = \frac{9}{\sqrt{(8\sqrt{7}) ^{2} + 9^{2} } } = 0.391[/tex]

[tex]16) tan(theta) = \frac{3}{4} = 0.75[/tex]

Hope this helps!

:)

Answer:

4 is a

Step-by-step explanation:

Answer: T = time remaining + time elapsed.

Step-by-step explanation:

Time elapsed means the time that he has been listening to the song (the minutes passed since he hits the play button)

Time remaining is the time left to finish the song.

Then the total duration of the song will be:

T = time remaining + time elapsed.

"Time Elapsed" simply refers to the time which has been spent listening to the music track. The "time remaining" on the other hand is the time left on for the song to come to an end. Song duration is the addition of both.

Please note that the information from the question required to give a well-rounded answer is incomplete. Hence the general answer.

To calculate the time duration of the song (which is the total length of the song in terms of time) the Time Elapsed must be added to the Time Remaining.

That is:

Total Duration = Time Elapsed + Time Remaining.

See the link below for more about Song Duration:

https://brainly.com/question/14701526

Answer: 17.9

Step-by-step explanation:

Using Heron's formula:

Area of a triangle is given by:

√s(s-a)(s-b)(s-c)

Where a, b and c ara sides of the triangle and

S = (a+b+c) / 2

In the question above sides are :

XY=XZ= 20 and YZ=18

S = (20 + 20 + 18) / 2 = 58/2 = 29

Area = √29(29-20)(29-20)(29-18)

Area = √29(9)(9)(11)

Area = √25839

Area = 160.74513

Altitude = height(h)

Area = 0.5 × base × height

Base = yz = 18

160.74513 = 0.5 × 18 × h

160.74513 = 9 × h

h = 160.74513 / 9

h = 17.9 (3 s.f)

Answer:

Box 1 is F and Box 2 is -62.1

Answer:

5/9( F -32) = -62.1

Step-by-step explanation:

5/9( F -32) = C

We have the Celsius temperature and want to find the Fahrenheit temperature

5/9( F -32) = -62.1

Answer:

if its 8 to 5 then 16 is 10

answer: 10 miles

Answer:

10 miles

Step-by-step explanation:

8 km = 5 miles

So, Let's use the unitary method

1 km = [tex]\frac{5}{8}[/tex] miles

Multiplying both sides by 16, we get

16 km = [tex]\frac{5}{8} * 16[/tex] miles

16 km = 5 × 2 miles

16 km = 10 miles

Answer:

[tex]4 {e}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{12 {e}^{5} }{3 {e}^{3} } \\ 12 \div 3 \times {e}^{5 - 3} \\ = 4 {e}^{2} [/tex]

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Answer:

0

Step-by-step explanation:

Substitute x for 2

-3(2)^2 + 6(2)

Order of operations says that exponents are next, so square the 2

-3(4) + 6(2)

multiply

-12 + 12

add

0

Answer:

The correct answer is 0

Hope it helps

Step-by-step explanation:

F(x) is given

So to find f2 we substitute all the variables (x) with the number 2 so it becomes..

f(2)=

-3(2)^2 + 6(2)

= -3(4)+ 6(2)

= -12+12

= 0

Answer: 24 m^3

Step-by-step explanation:

Given that you have a base with an area of 6 square meters, it has already calculated the product of length and width. In the Volume Formula Length x Width x Height, you're pretty much multiplying that given area by a height of 4, since you already have that length and width in the form of 6 square meters. The result you'll have is 24 Meters Cubed.

Answer:

78.4% probability at least one does not have a job

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a job, or they do not have a job. The probability of a student having a job is independent of other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

60% of the students at a large university have a job

This means that [tex]p = 0.6[/tex]

Three of these students are randomly selected

This means that [tex]n = 3[/tex]

What is the probability at least one does not have a job?

Either all of them have a job, or at least one does not. The sum of the probabilities of these events is decimal 1. So

[tex]P(X < 3) + P(X = 3) = 1[/tex]

We want P(X < 3). Then

[tex]P(X < 3) = 1 - P(X = 3)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216[/tex]

[tex]P(X < 3) = 1 - P(X = 3) = 1 - 0.216 = 0.784[/tex]

78.4% probability at least one does not have a job

Answer:  24

Step-by-step explanation:

You have 4 balloons to choose from.  

Once you have chosen a balloon, there are 3 remaining to choose from.  When you choose another balloon, there are only 2 remaining.

First pick   and    Second pick    and   Third pick

     4           x        3 remaining      x       2 remaining      =  24

Answer:

w=12 ft

l= 20 ft

A.

P= 2(12+20)= 64 ft

A= 12*20= 240 ft²

B.

P=2(12*1.2+20*1.2)= 76.8 ft

A= 12*1.2*20*1.2= 345.6 ft²

C.

(76.8-64)/64*100%= 20%

(345.6- 240)/240*100%= 44%

D.

perimeter increase is linear function of one dimension increase

area increase is function of 2 dimensions increase

Answer:

30°=15° 52°=26° 172°=86° 171'30°=85.75°

Step-by-step explanation:

okay so re-reading over the question, and analyzing what the question wants us to answer, you will then realize that the way to get the answer is to divide x by 2.

our x examples, in this case, would be 30°,52°,172°, and 171'30°.

and that's how you find the answer to this type of question. :)))

Answer:

Step-by-step explanation:

Part A

[tex]V=\pi r^2h=\pi *2.5^2*7.5=147.26\\=147in^3\\[/tex]

Part B

[tex]r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{75}{\pi *6} } \\=1.99\\=2in[/tex]

Answer:

24

Step-by-step explanation:

8x3

6x4

Answer:

24

Step-by-step explanation:

LCM is the Lowest Common Multiple

To find the LCM of 2 numbers, first list a few of the first multiples of each number:

8 = 8,16,24,32,40

6 = 6,12,18,24,30

Here, we notice that 24 is the first multiple that is common in both times tables. Thus, 24 is the LCM

hope this helps

It should be B children

Bye giggity giggity gamers! nyah :3

Answer:

b & e

Step-by-step explanation:

The statements that are true of the given function are f(0)=3/2 and f(4)=7/2. This can be obtained by finding the function and checking the values of given in the question.

Given, f(-1/2)= -2

f(0)= 3/2

f(1)= -1

f(2)= 1

f(4)= 7/2

The function is of the form, f(x)= mx +b

where m is the slope of the line and b is the cutting point with the y axis.

For x=0, the value of the function is f(0)=3/2

⇒b=3/2   and m=1/2

∴ The function is f(x) = (1/2)x + 3/2

f(-1/2) = (1/2)(-1/2) + 3/2 =5/4

f(0) = (1/2)(0) + 3/2 = 3/2

f(1) = (1/2)(1) + 3/2 = 2

f(2) = (1/2)(2) + 3/2 = 5/2

f(4) = (1/2)(4) + 3/2 = 7/2

Hence the statements that are true of the given function are f(0)=3/2 and f(4)=7/2.

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