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1 year ago

Please please please

Mathematics

1 answer:

antoniya [11.8K]1 year ago

3 0

The amount of water in each mug is 2 / 5 litres

<h3>How to find the litres of water in each mug?</h3>

The water bottle has 4/5 litres of water.

The litre of water is poured equally in 2 mugs.

Therefore, the amount of water in each mug can be calculated as follows;

amount of water in each mug = 4 / 5 ÷ 2

amount of water in each mug = 4 / 5 × 1 / 2

amount of water in each mug = 4 / 10

amount of water in each mug = 2 / 5 litres

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An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.

MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years, there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is $\frac{21}{3000000}==0.000007$ .

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by $q$ .

$q=7\times 10^{-6}=0.000007$ .

So, the probability of survive, $p=1-q$

$\Rightarrow p=1-7\times 10^{-6}=0.999993.$

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

$=\binom(n,r)p^rq^{n-r}$

$=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}$

$=(0.999993)^{48}=0.999664$ (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total $n$ skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

$0.9=\binom {n }{r} p^rq^{n-r}$

Here, r=n.

$\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}$

$\Rightarrow 0.9=p^n$

$\Rightarrow 0.9=(0.999993)^n$

$\Rightarrow \ln(0.9)=n\ln(0.999993)$ [ taking $\log_e$ both sides]

$\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}$

$\Rightarrow n=15051.45$

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0

3 years ago

your current wardrobe consists of eleven different items: three pairs of shoes, two pairs of pants, and six different shirts. yo

Alex73 [517]

A pair of shoes gives us 48 different outfits.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld: linear

We will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.

If mom buys 1 shirt, then total shirts(A) = 6+1 =7, total pants(B) = 2 and total shoes (C) = 3

By basic counting principle, number of outfits = A*B*C = 7*2*3 = 42 outfits possible

and

If mom buys 1 pair of shoes, then total shirts(A) = 6, total pants(B) = 2 and total shoes (C) = 3+1 = 4

By basic counting principle, number of outfits = A*B*C = 6*2*4 = 48 outfits possible

hence, buying a pair of shoes gives us 48 different outfits.

Learn more about linear equation

brainly.com/question/11897796

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6 0

1 year ago

Hi and hello have a nice day

Inga [223]

Answer:

Hey , stay safe <3

Step-by-step explanation:

Not sure if gif is working

8 0

3 years ago

One side of a square flower bed is 21 feet long. How many plants are needed if they are to be spaced 21 inches apart around the

Lapatulllka [165]

Answer:

48 plants.

Step-by-step explanation:

On one side there would be 21 * 12 inches / 21 inches =- 12 plants.

There are 4 sides so that makes 48 plants.

4 0

3 years ago

The scale on a drawing is 2:in:5yd. If a length on the drawing is 6 inches, what is the actual length.

Svetach [21]

Answer:

15 yards

Step-by-step explanation:

proportion:

2/5:6/X

2x=30

x=15

3 0

3 years ago