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3 years ago

6

The volume of the cushion is 646 in^3. What’s is it’s width

1 answer:

FrozenT [24]3 years ago

5 0

Answer:

should be 17

Step-by-step explanation:

You might be interested in

Past records indicate that the probability of online retail orders

Tcecarenko [31]

Answer:

a) Mean = 1.6, standard deviation = 1.21

b) 18.87% probability that zero online retail orders will turn out to be fraudulent.

c) 32.82% probability that one online retail order will turn out to be fraudulent.

d) 48.31% probability that two or more online retail orders will turn out to be fraudulent.

Step-by-step explanation:

Binomial probability distribution

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

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The mean of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that:

$p = 0.08, n = 20$

a. What are the mean and standard deviation of the number of online retail orders that turn out to be fraudulent?

Mean

$E(X) = np = 20*0.08 = 1.6$

Standard deviation

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.08*0.92} = 1.21$

b. What is the probability that zero online retail orders will turn out to be fraudulent?

This is P(X = 0).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{20,0}.(0.08)^{0}.(0.92)^{20} = 0.1887$

18.87% probability that zero online retail orders will turn out to be fraudulent.

c. What is the probability that one online retail order will turn out to be fraudulent?

This is P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{20,1}.(0.08)^{1}.(0.92)^{19} = 0.3282$

32.82% probability that one online retail order will turn out to be fraudulent.

d. What is the probability that two or more online retail orders will turn out to be fraudulent?

Either one or less is fraudulent, or two or more are. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 1) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

So

$P(X \geq 2) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

From itens b and c

$P(X \leq 1) = 0.1887 + 0.3282 = 0.5169$

$P(X \geq 2) = 1 - P(X \leq 1) = 1 - 0.5169 = 0.4831$

48.31% probability that two or more online retail orders will turn out to be fraudulent.

4 0

3 years ago

Find tan0, cos0, and csc0, where 0 is the angle shown in the figure. Give exact values, not decimal approximations. BRANLIEST!!

Setler [38]

Answer:

see explanation

Step-by-step explanation:

We require to find the third side of the triangle.

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x represent the third side, then

x² + 15² = 17², that is

x² + 225 = 289 ( subtract 225 from both sides )

x² = 64 ( take the square root of both sides )

x = $\sqrt{64}$ = 8

Thus

tanΘ = $\frac{opposite}{adjacent}$ = $\frac{15}{8}$

cosΘ = $\frac{adjacent}{hypotenuse}$ = $\frac{8}{17}$

sinΘ = $\frac{opposite}{hypotenuse}$ = $\frac{15}{17}$

cscΘ = $\frac{1}{sin0}$ = $\frac{1}{\frac{15}{17} }$ = $\frac{17}{15}$

7 0

3 years ago

Helppppppppppppp!!!!!!!!!

Pavlova-9 [17]

Answer:

6^2 * pi = 113.04 ft^2

side note: you really need to start using your brain

7 0

2 years ago

Help. Please. It’s due today.

kipiarov [429]

Answer:

P = 31.6

Step-by-step explanation:

distance of AB and CD is 5 units each (used Distance Formula)

distance of BC and AD is $\sqrt{117}$ units each (used Distance Formula); which is

6 $\sqrt{13}$

2(6 $\sqrt{13}$ ) + 10 = 31.6

7 0

3 years ago

Express 10cm as percentage of 50cm

tino4ka555 [31]

I think that 10 is 20% of 50

4 0

2 years ago

Read 2 more answers