What is the equation of the graphed line written in
standard form?
O x=-3
O y=-3
O x + y = -3
O x-y=-3

Answer:

0.56652

Step-by-step explanation:

Given that :

1 job takes 15 seconds

x jobs will take 60 seconds

15x = 60

x = 4

4 jobs take 60 seconds

μ = 4

Job is 4th in line :

Find the probability of ;

P(x ≥ 4) = 1 - [P(x ≥ 4) = 1 - [P(x < 3 ) + P(x < 2) + P(x < 1) + p(x < 0)]

P(μ, x) = [(e^-μ) * (μ^x)] ÷ x!

Using the poisson distribution calculator :

P(x< 3) = 0.19537

P(x< 2) = 0.14653

P(x< 1) = 0.07326

P(x< 0) = 0.01832

Hence,

P(x ≥ 4) = 1 - [P(x < 3 ) + P(x < 2) + P(x < 1) + p(x < 0)

= 1 - (0.19537 + 0.14653 + 0.07326 + 0.01832)

= 1 - 0.43348

= 0.56652

Answer:

B. 21

E. 400

Step-by-step explanation:

Partial product of two digits number is the multiplication of the sum of place values of digits.

43 × 17

= (40 + 3) × (10 + 7)

To remove the parenthesis

= 40 × 10 + 40 × 7 + 3 × 10 + 3 × 7

Multiplying each pair separately

40 × 10 = 400

40 ×7 = 280

3 × 10 = 30

3 × 7 = 21

The partial product of 43 × 17 is

400 + 280 + 30 + 21 = 731

43 × 17 = 731

The answer is

B. 21

E. 400

Answer:

Step-by-step explanation:

e.400

Answer:

r = 5

Step-by-step explanation:

-12r + 24 = -36

-12r = -36 - 24

12r = 60

r = 5

Hope this helps!

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Answer:

x=-3

Step-by-step explanation:

Given, f(x) = 10^-3 and f(x)=10^x

Compare the equations

10^-3=10^x

So, x=-3

Answer:

The probability that the man arrives first is 0.50.

Step-by-step explanation:

Let X denote the arrival time of the man and Y denote the arrival time of the woman.

It is provided that:

[tex]X\sim U[15,45]\\\\Y\sim U[0,60][/tex]

The pdf of X an Y are:

[tex]f_{X}(x)=\frac{1}{45-15}=\frac{1}{30};\ 15<X<45\\\\f_{Y}(y)=\frac{1}{60-0}=\frac{1}{60};\ 0<Y<60[/tex]

It is provided that X and Y are independent of each other.

Then the joint pdf of X and Y is:

[tex]f_{XY}(x,y)=f_{X}(x)\times f_{Y}(y)\\\\\Rightarrow f_{XY}(x,y)=\frac{1}{30}\times \frac{1}{60}\\\\\Rightarrow f_{XY}(x,y)=\frac{1}{1800};\ 15<X<45,\ 0<Y<60[/tex]

Compute the probability that the man arrives first as follows:

[tex]P(X<Y)=\int\limits^{45}_{15} {\int\limits^{60}_{x} {\frac{1}{1800}} \, dy } \,dx[/tex]

                 [tex]=\frac{1}{1800}\times \int\limits^{45}_{15} y|^{60}_{x} \,dx\\\\=\frac{1}{1800}\times \int\limits^{45}_{15} {60-x} \,dx\\\\=\frac{1}{1800}\times |60x-\frac{x^{2}}{2}|^{45}_{15}\\\\=\frac{(1687.5-787.5)}{1800}\\\\=\frac{900}{1800}\\\\=\frac{1}{2}\\\\=0.50[/tex]

Thus, the probability that the man arrives first is 0.50.

Answer:

B is The correct answer

Answer:

Sin A = 8/10 or 4/5

Cos A = 6/10 or 3/5

Tan A = 8/6 or 4/3

Answer:

Step-by-step explanation:[tex]8000000^{9090}[/tex] +98989898989

(If you don't think this is legit, just search up Chinese math question)

If a ship had 26 sheep and 10 goats onboard, how old is the ship's captain?

To answer this question correctly would truly be an accomplishment.

Hope this helps, if not, comment down below please!!!

(cast your answer down below pls)

:L

Answer:

Negative 4.16 will be the answer

Answer:

1/2

Step-by-step explanation:

12÷24 = 0.5 = 1/2

0.1998 is the probability that no more than 4 of the entry forms will include an order.

Given the following information:

Treat subscription order with an entry form as a success.

P(subscription order with an entry form) = 0.4

Then the number subscription order with an entry form follows a binomial distribution, where

[tex]P(X = x) = nC_xp^x(1-p)^{n-x}[/tex]

where n is the total number of observations, x is the number of success, p is the probability of success.

Here, n = 16

[tex]P (x \leq 4) = P(x = 0) + P (x = 1) + P(x = 2) + P(x = 3)[/tex]

= [tex]16C_00.4^0(1-0.4)^{16} + 16C_10.4^1(1-0.4)^{15} + 16C_20.4^2(1-0.4)^{14}+ 16C_30.4^3(1-0.4)^{13}[/tex]

= 0.00028 + 0.0030 + 0.150 + 0.0468

= 0.1998

0.1998 is the probability that no more than 4 of the entry forms will include an order.

Know more about binomial distribution,

https://brainly.com/question/14524588

#SPJ4

Answer:

20+n=120

Step-by-step explanation:

Answer:

90mph

Step-by-step explanation:

15 times 6, will u answer my question on my page

Complete Question

The scores on a psychology exam were normally distributed with a mean of 59 and a standard deviation of 6. About what percentage of sores were less than 53. The percentage of scores that were less than 53 was %. (Type an integer or a decimal.

Answer:

The value is [tex]P(X < 53) = 0.15866[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 59[/tex]

    The standard deviation is [tex]\sigma = 6[/tex]

Generally the percentage that were less than 53 is mathematically represented as

       [tex]P(X < 53) = P(\frac{X - \mu }{\sigma } < \frac{ 53 - 59 }{ 6 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>    [tex]P(X < 53) = P(Z < -1 )[/tex]

Generally the probability of (Z <  -1  ) is  

         [tex]P(Z < -1 ) = 0.15866[/tex]

=>        [tex]P(X < 53) = 0.15866[/tex]

Answer:

nnnvvg

Step-by-step explanation: mm

ITS B! i did the test and it was right

Step-by-step explanation:

Answer: 87

Step-by-step explanation:

3,132/9 = 348

348x1.5 = 522

522-435 = 87

i think?

[tex]range=524.[/tex]

Step-by-step explanation:

[tex]range \: is : max - min \\ the \: range \: is \: : 529 - 5 = 524. \\ regards \\ ♨Rage♨[/tex]

The range of the given data set comes to be 524.

The given data set is: 52, 24, 5, 72, 49, 529

The range of a data set is the difference between the maximum and minimum value of that data set.

The maximum value of the given data set = 529

The minimum value of the given data set = 5

The difference between the maximum and minimum value of that data set=529-5 =524

So, the range of the data set =524

Therefore, the range of the given data set comes to be 524.

To get more about range visit:

https://brainly.com/question/8486248

Answer: 0.9772

Step-by-step explanation:

Let X be a random variable that represents the transport time .

We assume X is normally distributed with a mean [tex]\mu=28\text{ minutes}[/tex] and a standard deviation [tex]\sigma=5\text{ minutes}[/tex].

Sample size : n= 100

The probability that the average transport time was bigger than 27 minutes:

[tex]P(\overline{X}>27)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{27-28}{\dfrac{5}{\sqrt{100}}})\\\\=P(Z>\dfrac{-1}{\dfrac{5}{10}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>-2)=P(Z<2)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.9772\ \ \ [\text{By p-value table}][/tex]

Hence, the required probability =0.9772

Answer:

X=28 and <EBC= 62º

Step-by-step explanation:

2x+6+x=90

3x+6=90

3x+6-6=90-6

3x=90

3x/3=90/3

x=28

90-28=62

or

2(28)+6

56+6

<EBC= 62

Answer: 18.9 or 18 9/10

4/5 + 3/5 = 7/5

3.5 x 5 = 17.5

7/5 + 17.5

18.9 = 18 9/10

Answer:

decimal form: 18.9       Fraction Form: 18 9/10

Step-by-step explanation:

(4/5+3/5)+3.5 x 5=18.9

Add Parenthesis= 4/5 + 3/5 = 7/5

Put the numbers back together= 7/5 + 3.5 x 5

Turn the fraction into a decimal form: 7/5=1.4

Put the number back together= 1.4+3.5 x 5

Now you have to do PEMDAS: meaning you have to multiply first

3.5 x 5 = 17.5

Put the problems back together= 17.5+1.4=18.9

*The 9 has a number 10 on the bottom because it is the denominator.

Examples*1/10    10/100

Answer:

x=3 or -3

Step-by-step explanation:

hope it helps

Answer:

line d.

Step-by-step explanation:

Answer:

C) line d

Step-by-step explanation:

just took the quiz on edge 2020

Answer:

12 feet and 14 feet

Step-by-step explanation:

Let a and b be the length and width of a rectangle

a and b are consecutive even integers

a=x, b=x+2

perimeter=52

2*(a+b)=52

2*(x+x+2)=52

2x+2=26

2x=24

x=12

a=12

b=x+2=14

Answer:

dimensions of the rectangle are 12 ft by 14 ft

Step-by-step explanation:

Let's name our unknowns :

width = x and therefore, the length according to the information given will be of size x + 2 (consecutive even integer).

Then the perimeter (addition of all four sides of the rectangle) will be the sum:

x + (x + 2) + x + (x + 2) = 52

combining like terms:

4 x + 4 = 52

subtracting 4 on both sides

4 x  = 52 - 4

4 x = 48

x = 48 / 4

x = 12

so the width is 12 feet and the length must be 2 feet larger, that is: 14 feet

Then the dimensions of the rectangle are 12 ft by 14 ft.