1/3g -3 = -9 I need help

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

Using the Poisson distribution, it is found that:

a) The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.

b) 0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

In this problem, the mean is of [tex]\mu = 5[/tex].

Item a:

The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.

Item b:

This probability is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-5}(5)^{0}}{(0)!} = 0.0067[/tex]

[tex]P(X = 1) = \frac{e^{-5}(5)^{1}}{(1)!} = 0.0337[/tex]

[tex]P(X = 2) = \frac{e^{-5}(5)^{2}}{(2)!} = 0.0842[/tex]

[tex]P(X = 3) = \frac{e^{-5}(5)^{3}}{(3)!} = 0.1404[/tex]

Then:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0067 + 0.0337 + 0.0842 + 0.1404 = 0.265[/tex]

0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.

A similar problem is given at https://brainly.com/question/16912674

Answer:

17, 56, 41,

Step-by-step explanation:

"third side is 24 more than shortest side"

Let a be the shortest side.

c = a+24

"perimeter is 114"

a+b+c = 114

a+b+(a+24) = 114

2a + b = 90

"one side is 5 more than 3 times the shortest side"

That side must be b; c is an extraneous solution.

b = 3a+5

2a+(3a+5) = 90

a = 17

b = 56

c = 41

(a,b,c) = (17,56,41)

Answer:

x=28 X-7=21. 28-7=21

+7. +7

x=28

Answer:

x=50

y=50

Step-by-step explanation:

its right because sas

Answer:

40 and 40

Step-by-step explanation:

180-100= 80

80/2=40

Answer:

The line with be duchess with shading below.

None of the above

Step-by-step explanation:

The correct inequality expression is;

y < 2x+3

Note that the inequality sign between the expressions is the one that will determine the nature of the line.

Since the sign is not containing the "equal to" sign this means that the line will be broken(duchess).

Since it is "less than", the shading will be below the line.

Considering the given option, None of the option is correct

For the inequalities

[tex]\rm\bold{ y < 2x+3 ......(1)} \\\\\rm \bold{y > 2x +3....(2)}}[/tex]

For Case (1)

Option d will be chosen as correct option

hence " none of these" will be the answer  

For Case (2)

Option b will be chosen as correct option

hence " The line with be duchess with shading above " will be the answer  

Since the sign of the inequality here is not clear let us consider 2 cases that are represented by equation (1) and equation (2)

[tex]\rm y < 2x+3 ......(1) \\y > 2x +3....(2)[/tex]

Considering case 1 as represented by equation (1)

The y values are always less than the expression for the line 2x+3 hence points on the line [tex]\rm y = 2x +3[/tex] will not be included for this inequality hence the line will be duchess with area below the line.

So in this case option d will be chosen as correct option

hence " none of these" will be the answer  

Similarly now considering case 2 as  represented by equation (2)

The y values are always more than the expression for the line 2x+3 hence

points on the line [tex]\rm y = 2x +3[/tex] will not be included for this inequality hence the line will be duchess with area above the line.

So in this case option b will be correct.

Note :

The lines will be solid when  the inequalities in equation (1) and (2) also include equal to sign.

That is for lines to be solid

the inequalities will be of type

[tex]\rm y \leq 2x+3 \\y \geq 2x +3[/tex]

For more information please refer to the link below

https://brainly.com/question/11897796

Answer:

This spyware is detected 66% of the time.

Step-by-step explanation:

We have these following percentages:

70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.

30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.

What percentage of times is this spyware detected

Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So

[tex]0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66[/tex]

This spyware is detected 66% of the time.

Answer:

the 1/15 means the she gets 15.00 for working 1 hour. and the 0,0 means she gets 0 price because she worked 0 hours.

Given:

The vertices of the triangle are (-10,-3), (1,4) and (-1,7).

To find:

The perimeter of the triangle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let the vertices of the triangle are A(-10,-3), B(1,4) and C(-1,7).

Using distance formula, we get

[tex]AB=\sqrt{(1-(-10))^2+(4-(-3))^2}[/tex]

[tex]AB=\sqrt{(1+10)^2+(4+3)^2}[/tex]

[tex]AB=\sqrt{(11)^2+(7)^2}[/tex]

[tex]AB=\sqrt{121+49}[/tex]

[tex]AB=\sqrt{170}[/tex]

Similarly,

[tex]BC=\sqrt{\left(-1-1\right)^2+\left(7-4\right)^2}=\sqrt{13}[/tex]

[tex]AC=\sqrt{\left(-1-\left(-10\right)\right)^2+\left(7-\left(-3\right)\right)^2} =\sqrt{181}[/tex]

Now, the perimeter of the triangle is

[tex]Perimeter=AB+BC+AC[/tex]

[tex]Perimeter=\sqrt{170}+\sqrt{13}+\sqrt{181}[/tex]

[tex]Perimeter\approx 13.038+3.606+13.454[/tex]

[tex]Perimeter=30.098[/tex]

Therefore, the perimeter of the triangle is 30.098 units.

Answer:

A. 92 cm

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

A, 92

Step-by-step explanation:

you can rewrite 16:9 as 16/9

16/9=x/52

x=92cm

Answer:

4.3362962963

Step-by-step explanation:

A=1/2bh

29.7cm^2=1/2 13.5h

You're gonna multiply each side by 2 to cancel out the fraction equaling,

58.54= 13.5h

You're then gonna divide w=each side by 13.5 to get h left alone on one side and a number on the other equaling your answer. 4.3362962963. Round to whatever decimal place you need.

Step-by-step explanation:

[tex]i) \frac{ \sqrt{2} }{ \sqrt{3} } [/tex]

[tex] \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{ 3} } [/tex]

[tex] \frac{ \sqrt{6} }{3} [/tex]

[tex]ii) \frac{5 \sqrt{2} }{2 \sqrt{3} } [/tex]

[tex] \frac{5\sqrt{2} }{ 2\sqrt{3} } [/tex]

[tex] \frac{5 \sqrt{2} }{2 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

[tex] \frac{5 \sqrt{6} }{6} [/tex]

[tex] iii)\frac{15}{ \sqrt{5} } [/tex]

[tex] \frac{15}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } [/tex]

[tex] \frac{15 \sqrt{5} }{5} [/tex]

[tex]3 \sqrt{5} [/tex]

[tex] iv)\frac{ \sqrt{5} }{5 \sqrt{6} } [/tex]

[tex] \frac{ \sqrt{5} }{ 5\sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } [/tex]

[tex] \frac{ \sqrt{30} }{ 30} [/tex]

Answer:

you write the inequality in a hazy way, so i got to solve all the possibilities of it , choose the one u need.

Step-by-step explanation:

[tex]case \: 1 \\ 2x - 15 \leqslant 5 \\ 2x \leqslant 20 \\ x \leqslant 10 \\ case \: 2 \\ 2x - 15 < - 5 \\ 2x < 10 \\ x < 5 \\ [/tex]

[tex]case \: 3 \\ 2x - 5 < 5 \\ 2x < 10 \\ x < 5[/tex]

Answer:

b is the variable in the expression b+12

that doesnt make sense

Answer: 8x+2

explanation:

i just solved it

Answer:

8x - 15

Step-by-step explanation:

(2x + 5)(4x -3)

distribute ur numbers

2x * 4x = 8x

5 * -3 = -15

now ur left with 8x - 15 and that is ur answer

Answer:

x=9

Step-by-step explanation:

13+14=3x

27=3x

27/3=x

9=x

Answer:

m(17n - 5nx + 15x)

Step-by-step explanation:

17mn - 5mnx + 15mx

= m(17n - 5nx + 15x)

Answer: 10%

Step-by-step explanation:

divide 30.80 by 28 and when you get the answer multiply by 100.

After you get the answer to that subtract it by 100.

30.80/28=1.1

1.1 x 100= 110

110-100=10

hope this helps <3

Answer:

10%

Step-by-step explanation:

9 months late gang

Answer:

m > 1

Step-by-step explanation:

Minus 6 from both side

m = 1

Answer:

0.2 is the answer .

Hope it helps..

Answer:

x = 8

Step-by-step explanation:

Let's solve your equation step-by-step.

−6+7x=50

Step 1: Simplify both sides of the equation.

7x−6=50

Step 2: Add 6 to both sides.

7x−6+6=50+6

7x=56

Step 3: Divide both sides by 7.

7x/7 = 56/7

x=8

have a wonderful day

Answer:

245 1/3

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

Answer:

It is not a polynomial. It is a trinomial. Polynomials have 4 or more terms

Answer:

it is a not polynomial.

Step-by-step explanation:

In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables,