What is the first step in solving this expression? 28 - 11 + 6 ● 3 + 5

Thanks,

Answer:

Binomial distribution = 0.1026

Normal approximation = 0.1066

Step-by-step explanation:

Given that :

p = 100% - 7% = 0.93

n = 300

1 - p = 0.07

Probability of atleast 285 rooms getting booked :

P(x = x) = nCx * p^x * (1-p)^(n-x)

To obtain P(x ≥ 285) ; we use a binomial probability calculator to save time :

P(x ≥ 285) = 0.1026

Using Normal approximation :

Mean (m) = np = 300 * 0.93 = 279

Standard deviation (s) = sqrt(np(1-p) = sqrt(285*0.07) = 4.419 = 4.42

Using :

Z = (x - m) / s

P(x ≥ 285) ; for normal approximation :P(x ≥ x) x = 285 - 0. 5 = 284.5

Z = (284.5 - 279) / 4.42

= 1.2443

P(Z ≥ 1.2443) = 0.1066 (Z probability calculator)

Answer:

c. 141.7 in

Step-by-step explanation:

multiply the length value by 39.37

Answer:

Y=2x has a slope of 2, y=2 has a slope of 0

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Answer:

r < 35 or r ≥ 43

Step-by-step explanation:

We are told that when the bus driver leaves her first stop by 7:00 a.m., her route will take less than 35 minutes.

Since the time it takes to drive the route is r, then;

r < 35

Also, If she leaves after 7:00 a.M., she estimates that the same route will take no less than 43 minutes. Thus;

r ≥ 43

Thus;

r < 35 or r ≥ 43

Answer:

ok

Step-by-step explanation:

Answer:

1. 17

2. 4

3. 3

4. 9

Step-by-step explanation:

Answer:

10x+9

Step-by-step explanation:

Answer:

y=1/2x+35

Step-by-step explanation:

Find two points: 0,35 and 40,65.

65-35 is 20/40 or 1/2

y=1/2x+b

plug in 0,35

35=b

y=1/2x+35.

Hope this helps!

#Team Rainbows

Answer:

13. 23 boat rides; 22 are full, and the first one has 301 passengers.

12. $11,067.50

Step-by-step explanation:

13,105 people in a day, divided by 582 per ride.

13,105/582 = 22 (with a remainder)

582 x 22 = 12,804

So, the remainder is

13,105 - 12,804 = 301

23 rides, with 22 full and the first one having 301 people.

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

There are 879,575 tickets sold across 755 theatres. Per theatre,

879,755 / 755 = 1,165 tickets per theatre

1,165 x $9.50 = $11,067.50 per theatre.

Answer:

D. 14.

Step-by-step explanation:

As we know, 10 to the second power is 100, to the third power is 1000, and so on. These powers add a zero to the number. Since PEMDAS tells us to do exponents before multiplication, we need to find what power of 10 gives us 100,000,000,000,000. Let's count all the zeros. There are 14 zeroes. This means our answer is D. 14. Let's check, though. 10 to the 14th power is 100,000,000,000,000, and that times 3 is 300,000,000,000,000. That means our answer is correct, it is in fact, D. I hope this helps!

Edit: I changed the answer from 13 to 14 because I realized that 13 is incorrect.

Answer:

2.12

Step-by-step explanation:

Answer:

I think 0.088 altogether I got 63.088 with tax

Step-by-step explanation:

Answer:

5.85987448

Step-by-step explanation:

Pie

Answer:

the answer to your question is 5.85987

Answer:

-2 -20

Step-by-step explanation:

Answer:

48sq^2

Step-by-step explanation:

(12*8)/2

96/2

48

Answer:

%25

Step-by-step explanation:

Answer:

$19.60

Step-by-step explanation:

245 is 100% of the total.

x is 108% of the total.

245/100 = x/108

245(108) = 26460

26460/100 = 264.6

264.6 - 245 = 19.6

A n s w e r :

$ 1 9 . 6 0

E x p l a n a t i o n

T a k e   t h e   a m o u n t   a n d   m u l t i p l y   b y   t h e   t a x   r a t e   t o  

d e t e r m i n e   t h e   s a l e s   t a x

t a x = 2 4 5 * 8 %

C h a n g e   t o   d e c i m a l   f o r m

t a x = 2 4 5 * . 0 8

= 1 9 . 6 0

=========================================================

Explanation:

The point (0,0) means x = 0 and y = 0 pair up together.

Recall that any point is always of the form (x,y).

If we plug x = 0 and y = 0 into the equation, we end up with,

y = 3x

0 = 3*0

0 = 0

We get the same thing on both sides, so we have a true equation.

Since we have a true equation, we've shown that  (0,0) is a solution.

Visually this indicates (0,0) is on the line y = 3x. Put another way, the line y = 3x goes through the origin.

Answer:

rate of 6

Step-by-step explanation:

Answer:

6.45

Step-by-step explanation:

29.95+7.75%=32.27

32.27/5

6.45

Question:

Use the expression to complete the statements.

[tex](0.5)^{10\\[/tex]

________ is the  power .

(0.5) is the  ________

A ______ is another way to write

Answer:

0.5 is the base

10 is the power

[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex] -- another way to write

Step-by-step explanation:

Given

[tex](0.5)^{10\\[/tex]

Required

Fill ion the gaps

[tex](0.5)^{10\\[/tex] is pronounced as; 0.5 raise to the power of 10

From the above statement, we can deduce the following:

0.5 is the base

10 is the power

Lastly, another way to write [tex](0.5)^{10\\[/tex]

Express 0.5 as a fraction

[tex](\frac{5}{10})^{10}[/tex]

Simplify the fraction

[tex](\frac{5/5}{10/5})^{10}[/tex]

[tex](\frac{1}{2})^{10}[/tex]

Hence:

[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex]

Answer:

the function is represented by linear because the units are the same

Answer:

g(1) = -3

Step-by-step explanation:

g(x) = 4x-7

Let x=1

g(1) = 4*1 -7

     = 4 -7

     = -3

Answer:

-3

Step-by-step explanation:

Answer:I dont knwo the answer

Step-by-step explanation:tell em

Answer:

C

Step-by-step explanation:

I got it right

Answer:

Congruent is the answer

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\\\A(3,7)\quad\implies\quad x_A=3\,,\ y_A=7\\\\B(4,2)\quad\implies\quad x_B=4\,,\ y_B=2\\\\d=\sqrt{(4-3)^2+(2-7)^2}= \sqrt{1^2+(-5)^2}= \sqrt{1+25}= \sqrt{26}\approx5.1[/tex]

Answer:

35

Step-by-step explanation:

Answer:

130 a year, so it would be $520 interest for 4 years in the bank.