PLEASE HURRY
Kevin rides the bus to school each day. He always arrives
at his bus stop on time, but his bus is late 80% of the time.
Kevin runs a simulation to model this using a random
number generator. He assigns these digits to the possible
outcomes for each day of the week:
• Let 0 and 1 = bus is on time
• Let 2, 3, 4, 5, 6, 7, 8, and 9 = bus is late
The table shows the results of the simulation.
Group number 1
2
3
4
5
Random digits 28713 01792 00095 72765 24943
Group number 6
7
8
9
10
Random digits 39638 24697 | 47511
0929771197
What is the estimated probability that Kevin's bus will be late every day next
week?

Answer:

150 beats

Step-by-step explanation:

15 times = 3 secs

y = 30

(cross multiply)

3y /3= 450/3

y= 150

Step-by-step explanation:

3 -> 6

? -> 1

? x 6 = 3 x 1

? = 3 / 6 = 1/2 pound bag of soil

1/2 pound soil will be in each bag

Answer:

We don't even know the answer....

Step-by-step explanation:

Please tell us the answer.

Answer:

Where is tbe question. i need the question

Step-by-step explanation:

E

Answer:

it needs me to type more but answer is

-5,-4

Answer:

S will be at (-5,-4)

Step-by-step explanation:

T is located at (0,-4)

To move to the left, the x coordinate moves.

(0-5, -4)

S will be at (-5,-4)

Answer:

Recognize objects

Answer:

A) $42.674

B) $524,387

Step-by-step explanation:

The amount of the salary that Herbert agreed was $40836 per annum approx approximately. In his first 10 years, he earned approx $524,384

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]

Let the initial salary that Herbert agreed on was 'x' dollars annually.

We can use compound interest formula as there is compounding of some amount at some rate for some time, where interest earned will correspond to the increment in salary.

Then, as the rate of increment is 4.5% per year, and time is of 10 years, so compounding the incremented amount on the base principal amount gives final salary at the 10th year as:

[tex]A = x(1 +\dfrac{4.5}{100})^{10}\\\\63417 = x(1+0.045)^{10}\\\\x \approx \dfrac{63417}{(1.045^{10})} \approx 40836 \: \text{\: (in dollars)}[/tex]

$40836 was his first year's salary.

For Tth year's salary, we just need to replace 10 with T.

Thus, sum of the money he earned in 10 years will be:

[tex]S = \sum A_i = \sum_{i=1}^{10} 40836(1.045)^i\\S \approx 42674 +44594+46601 +48698 +50889+53179 +55572 +58073 +60687 + 63417\\S \approx 524384[/tex]

Thus, the amount of the salary that Herbert agreed was $40836 per annum approx approximately. In his first 10 years, he earned approx $524,384

Learn more about compound interest here:

https://brainly.com/question/11897800

Answer:

The answer is $22.75! (A)

Step-by-step explanation:

All you have to do is subtract $36.50 by $13.75 and get the amount of the 2nd piggy bank.

22.75 + 13.75 = 36.50

Answer:

1 There are 20 marbles in a bag. 0/1 . 4 marbles are green. • 7 marbles are red. 5 marbles are white. • 4 marbles are purple. Based on this information, what is the probability a marble choosen will be green or purple? Show Your Work y Green y Purple u 8 8 20 5 4 니 + 20 marbles You have responded to 11 of 11 questions 1 response does not have any content.​

Step-by-step explanation:

Answer:

Step-by-step explanation:

5P4=5×4×3×2=120

9514 1404 393

Answer:

  85

Step-by-step explanation:

A number will end in 0 if it has a factor of 10. For a number to end in 20 zeros, it must have 20 factors of 10. That means 2^20 and 5^20 must both be factors of the number.

In any group of sequential numbers, the number of them divisible by 2 will exceed the number divisible by 5, so we only need to have 20 factors of 5 in the group.

Every 5th multiple of 5 will have an additional multiple of 5, so 3 groups of 5 multiples of 5 will have 18 factors of 5. That is, the sequential numbers 1 .. 75 will have a total of 18 factors of 5. For two more factors of 5, we need to have two more multiples of 5: 80 and 85.

The sequential numbers 1 .. 85 will have 20 factors of 5 and at least 20 factors of 2. Hence 85! will end in 20 zeros.

Daniel must multiply together 85 sequential counting numbers to have a product ending in 20 zeros. (It will have a total of 129 digits.)

We'll first need to determine what the composite function f(g(x)) is equal to.

Start with the outer function f(x). Then replace every copy of x with g(x). Afterward, plug in g(x) = 3x-2

So we get the following:

[tex]f(x) = \sqrt{x^2-4}\\\\f(g(x)) = \sqrt{(g(x))^2-4}\\\\f(g(x)) = \sqrt{(3x-2)^2-4}\\\\f(g(x)) = \sqrt{9x^2-12x+4-4}\\\\f(g(x)) = \sqrt{9x^2-12x}\\\\[/tex]

Next, we apply the derivative

[tex]f(g(x)) = \sqrt{9x^2-12x}\\\\f(g(x)) = (9x^2-12x)^{1/2}\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*\frac{d}{dx}(9x^2-12x)\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*(18x-12)\\\\f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\[/tex]

Don't forget about the chain rule. The chain rule is applied in step 3 of that block of steps shown above.

The last thing we do is plug in x = 3 and simplify.

[tex]f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\f'(g(3)) = \frac{9*3-6}{\sqrt{9*3^2-12*3}}\\\\f'(g(3)) = \frac{21}{\sqrt{45}}\\\\f'(g(3)) = \frac{21}{\sqrt{9*5}}\\\\f'(g(3)) = \frac{21}{\sqrt{9}*\sqrt{5}}\\\\f'(g(3)) = \frac{21}{3*\sqrt{5}}\\\\f'(g(3)) = \frac{7}{\sqrt{5}}\\\\[/tex]

Side note: if you choose to rationalize the denominator, then you'll multiply both top and bottom by sqrt(5) to end up with [tex]f'(g(3)) = \frac{7\sqrt{5}}{5}\\\\[/tex]; however, your teacher has chosen not to rationalize the denominator.

Answer:

LCD light conducting diode

Answer:

8

Step-by-step explanation:

2 : 4

8 : 16

Answer:

x = 24

Step-by-step explanation:

The angles are supplementary therefor

(5x + 13) + (x + 23) = 180

Combine like terms

6x + 36 = 180

Subtract 36 from both sides

6x = 144

Divde both sides by 6

x = 24

Answer:

5x+13+x+23=180°[exterior corresponding angle is supplementary.

6x=180-36

x=144/6

x=24

Answer: Hii!

Step-by-step explanation:

Answer:

base times height divide by two

26 times 17=442/2=221

the answer is 221

Step-by-step explanation:

Answer:

cc

Step-by-step explanation:

Answer:

14.5cm

Step-by-step explanation:

radius is half of diameter

29 / 2 = 14.5

Step-by-step explanation:

30.......reason(sum of angles in a triangle)

Answer:

30 degrees

Step-by-step explanation:

Since the angles of a triangle are supposed to add up to 180 in total, we can add 65 and 85 together and subtract the answer from 180. This will lead us to our answer.

1) 65 + 85 = 150

2) 180 - 150 = 30

So the answer is 30 degrees, feel free to comment if you need more clarification.

Given:

The expression is:

[tex]\dfrac{1}{2}(\cos (72)+i\sin (72))^5[/tex]

To find:

The [tex]a+bi[/tex] form for the given expression.

Solution:

According to De Moivre's theorem,

[tex](\cos \theta+i\sin \theta)^n=\cos (n\theta )+i\sin (n\theta )[/tex]

We have,

[tex]\dfrac{1}{2}(\cos (72)+i\sin (72))^5[/tex]

Using De Moivre's theorem, we get

[tex]=\dfrac{1}{2}(\cos (72\times 5)+i\sin (72\times 5))[/tex]

[tex]=\dfrac{1}{2}(\cos (360)+i\sin (360))[/tex]

[tex]=\dfrac{1}{2}(1+i(0))[/tex]

[tex]=\dfrac{1}{2}+0i[/tex]

It is the [tex]a+bi[/tex] form of the given expression. Here, [tex]a=\dfrac{1}{2},\ b=0[/tex].

Therefore, the required expression is [tex]\dfrac{1}{2}+0i[/tex].

Answer:

C

Step-by-step explanation:

A rational expression is a fraction where at least one term is a polynomial of the form ax² + bx + c, where a, b and c are constant coefficients. Unlike rational exponents, a rational expression is an entire expression, not just a component.

Answer:

4/4 ?

Step-by-step explanation:

Answer:

4/4

Step-by-step explanation:

Since there are four pieces and none of them is eaten or taken we just do the number of total of pieces as the denominator and the number of pieces taken away on the numerator, since there wasn't any taken away we put it as 4 because there are 4 pieces still there of cake.

Answer:

6.5

Step-by-step explanation:

6.5

Answer:

5 4/7

Step-by-step explanation:

if i read your question right that is the answer

Answer:5/2

Step-by-step explanation:

Answer:

180°, ∠4, ∠5

Step-by-step explanation:

∠1+∠2+∠3 = 180° because, as seen, their sum makes a straight angle. (on the transversal E)

∠2 is equal to ∠4 because of the Alternate Interior Angles theorem

∠1 is equal to ∠5 because of the Corresponding Angles theorem