The angle of elevation to a nearby tree from a point on the ground is measured to be

The owner of Paul's Pizza Place recorded how many pizzas the restaurant sold each day for a

sergejj [24]

Answer:

75

Step-by-step explanation:

6 0

2 years ago

Because gambling is a big business, calculating the odds of a gambler winning or losing in every game is crucial to the financi

IRISSAK [1]

Answer:

a) 0.1165

b) 0.0983

c) 0.000455

d) 0.787

e) 0.767

Step-by-step explanation:

5 bars, 4 lemons, 3 cherries, and a bell

Total = 5+4+3+1 = 13

The probability of getting a bar on a slot, P(Ba) = 5/13 = 0.385

A lemon, P(L) = 4/13 = 0.308

A cherry, P(C) = 3/13 = 0.231

A bell, P(Be) = 1/13 = 0.0769

a) Probability of getting 3 lemons = (4/13) × (4/13) × (4/13) = 256/2197 = 0.1165

b) Probability of getting no fruit symbol

On each slot, there are 4+3 = 7 fruit symbols.

Probability of getting a fruit symbol On a slot = 7/13

Probability of not getting a fruit symbol = 1 - (7/13) = 6/13 = 0.462

Probability of not getting a fruit symbol On the three slots = 0.462 × 0.462 × 0.462 = 0.0983

c) Probability of getting 3 bells, the jackpot = (1/13) × (1/13) × (1/13) = 1/2197 = 0.000455

d) Probability of not getting a bell on the 3 slots

Probability of not getting a bell on one slot = 1 - (1/13) = 12/13 = 0.923

Probability of not getting a bell on the 3 slots = (12/13) × (12/13) × (12/13) = 1728/2197 = 0.787

e) Probability of at least one bar is a sum of probabilities

Note that Probability of getting a bar = 5/13 and probability of not getting a bar = 8/13

1) Probability of getting 1 bar and other stuff on the 2 other slots (this can happen in 3 different orders) = 3 × (5/13)×(8/13)×(8/13) = 960/2197 = 0.437

2) Probability of getting 2 bars and other stuff on the remaining slot (this can also occur in 3 different orders) = 3 × (5/13)×(5/13)×(8/13) = 600/2197 = 0.273

3) Probability of getting 3 bars on the slots machine = (5/13) × (5/13) × (5/13) = 125/2197 = 0.0569

Probability of at least one bar = 0.437 + 0.273 + 0.0569 = 0.7669 = 0.767

5 0

3 years ago

ASAP The ratio of the width to the length of a ratio is1:3 which of the following ratio represents a rectangle with an equivalen

Soloha48 [4]

Take whatever side lengths you have and divide that number by 1/3 in your calculator and what number is shown after doing this is the answer

4 0

3 years ago

The following graph represents the distance a commercial airplane travels over time, at cruising speed and an altitude of 35,000

ANEK [815]

Answer:

see the explanation

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the time in hours

y ----> the distance in miles

Find the value of k

For the point (4,2268)

$k=\frac{2,268}{4}=567\ mph$

The slope represent the speed of the airplane

so

The linear equation is

$y=567x$

Part 1 :

The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.

Part 2 :

The point (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours

3 0

3 years ago

The value of a second-hand car is £8000. Each year it loses 20% of its value at the start of this year. work out its value in 5

Elodia [21]

Answer:

the value in the five years is £2,621.44

Step-by-step explanation:

The computation of the value in the five years is given below:

= The value of the second car × (1 - losses percentage)^number of years

= £8,000 × (1 - 0.20)^5

= £8,000 × 0.80^5

= £8,000 × 0.32768

= £2,621.44

Hence, the value in the five years is £2,621.44

We simply applied the above formula so that the correct value could come

And, the same is to be considered

7 0

2 years ago