Twice the sum of a number and 9 is 30

Translate the statement into a mathematical equation & solve

Answer:

F(k) = 2k e-2 / k!

Mean =µ = 2 x 3 = 6

f(k) = 6k e-6 / k!

F(2) = 22 e-2 / 2!

        = 0.2707

F(6) = 66 e-6 / 6!

        = 0.1606

f(5) = 45 e-4 / 5!

      = 0.1563

Step-by-step explanation:

Solution:

Given:

Mean = µ = 2 per time period

Poisson probability:

F(k) = µk e-µ / k!

(a) Poisson probability for one time period.

Put µ = 2 in formula, we get:

F(k) = 2k e-2 / k!

(b) Expected number of occurrence in three time period.

Mean of one time period is multiply with number of time period.

Mean =µ = 2 x 3 = 6

(c) Probability of occurrence in three time period.

Put the value of µ = 6 in the given formula, we get:

f(k) = 6k e-6 / k!

(d) Probability of two occurrences in one time period.

Put k = 2 in given formula:

F(2) = 22 e-2 / 2!

        = 0.2707

(e) Probability of six occurrences in three time period.

Put k = 6, in given formula, we get:

F(6) = 66 e-6 / 6!

        = 0.1606

(f) Probability of five occurrences in two time period.  

Mean of one time period is multiply by the number of time periods.

µ = 2 x 2 = 4

put k = 5 and µ = 4 in formula, we get:

f(5) = 45 e-4 / 5!

      = 0.1563

yeah 5 is 5% of 100 i dunno bro

if anything try .25

sorry

Answer:

The first question I got 1056.25

Step-by-step explanation:

The expression to be evaluated:

For,

First step in evaluating an expression is to substitute the given value of variable into the expression. Then you can finish evaluating the expression using arithmetic.

On putting the values of x and y in the given expression:

‎ㅤ‎ㅤ➝ 2x² - y + 3x

‎ㅤ‎ㅤ➝ 2× ( 3 )² - 7 + 3 × 3

‎ㅤ‎ㅤ➝ ( 2 × 9 ) - 7 + 9

‎ㅤ‎ㅤ➝ 18 - 7 + 9

‎ㅤ‎ㅤ➝ 11 + 9

‎ㅤ‎ㅤ➝ 20

Answer:

41/10 or 4.1......

Step-by-step explanation:

Answer:

Option 1, 2, 5 are the correct answer.

Answer:

I think it's 16

Step-by-step explanation:

your adding 4

Hi! I hope you're enjoying your day!

Let's add the following polynomials.

How to add them? Just combine like terms. :)

[tex]\bold{2x^2-10x+1 ~and~x^2+15x-8}[/tex]

[tex]\bold{2x^2+x^2-10x+15x+1-8}[/tex]

Hence, the answer is

[tex]\boxed{\boxed{\bold{3x^2+5x-7}}}[/tex]

[tex]\rule{250}{2}[/tex]

[tex]\bold{2x^3-3x^2+5\;and\;5x^2-3x^3+7}}}\\[/tex]

Combine Like terms:

[tex]\bold{2x^3-3x^3-3x^2+5x^2+5+7}[/tex]

Hence, the answer is

[tex]\boxed{\boxed{\bold{-x^3+2x^2+12}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

Answer:

25%, 50%, 12.5%,12.5%

Step-by-step explanation:

6/24

3/24

12/24

3/24

Answer:

-7/8

Step-by-step explanation:

rate of change is the same as slope so -7/8

Answer:

Step-by-step explanation:

find the rate of change from the equation:

y = -7/8x + 3

use the formula: y = mx + b

where:

y = how far up the line goes

m = slope

x = how far along

b = Y-intercept

so the rate of change is the same as the slope

therefore, the slope = -7/8

Answer: Around 1.2 meters

Step-by-step explanation:

Answer:

The area of this figure is  106 square meters

Step-by-step explanation:

7*4=28

(10*5)

50+28+28= 106 sq meters

Step-by-step explanation:

1. 1/9 of 450

of is multiply

1/9 × 450

= ???

2. 15/60 = decimal number

change number to percentage = ???

I dont know what 3 is

put answers to 1 and 2 in comments i will mark if u don't understand comment

please mark brainiest

Answer:

The smallest number be 6.

Step-by-step explanation:

Let the 4 consecutive numbers be :

n,n+1,n+2,n+3 where n is the smallest number

Adding up the 4 consecutive numbers, we get :

n+n+1+n+2+n+3 = 4n+6

ATQ,

4n+6 = 5n

Taking like terms together,

6=5n-4n

⇒ n = 6

So, the smallest number be 6.

Answer:

6000/1+0.04 power of 5

= 32,269.44

Answer:

12(1+3)

6(3+1)

12(4)

6(4)

48

24

answer = 2

Answer:

Kelsey has 8 plus more entries

8 + x

Scale factor

[tex]\\ \rm\rightarrowtail k=\dfrac{y}{x}[/tex]

[tex]\\ \rm\rightarrowtail k=\dfrac{0.5}{2.5}[/tex]

[tex]\\ \rm\rightarrowtail k=\dfrac{1}{5}[/tex]

Answer:

6

Step-by-step explanation:

it's basically the same equation just different arrangement

Answer:

4[tex]\sqrt{2\\[/tex] or 5.7

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

4[tex]\sqrt{2\\[/tex] or 5.7

Answer:

x = -0.4y

Step-by-step explanation:

Simplifying

15x + 6y = 0

Solving

15x + 6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

15x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0

15x + 0 = 0 + -6y

15x = 0 + -6y

Remove the zero:

15x = -6y

Divide each side by '15'.

x = -0.4y

Answer:

15m2 is the answer my friend.....

Answer:

Step-by-step explanation:

All you would do is multiply the length and the width, so you would multiply 5m by 3m and get 15m as your answer.

Answer:

V = l × b × h

Answer:

D the number 7 to the right of -4 on the number line

Answer:

15.5

Step-by-step explanation:

5+2x5-1+6/4=15.5

using a calculator this answer is correct.

Answer:

Sum of interior angles of a triangle = 180°

Sine rule to find side lengths:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

----------------------------------------------------------------------

Question 1aa

Given: B = 10°, C = 100°, b = 2

10° + 100° + A = 180°

⇒ A = 70°

[tex]\dfrac{a}{\sin 70}=\dfrac{2}{\sin 10}=\dfrac{c}{\sin 100}[/tex]

[tex]\implies a=\sin 70 \cdot \dfrac{2}{\sin 10}=10.82294826...[/tex]

[tex]\implies c=\sin 100\cdot \dfrac{2}{\sin 10}=11.34256364...[/tex]

----------------------------------------------------------------------

Question 2bb

Given: A = 40°, B = 40°, c = 2

40° + 40° + C = 180°

⇒ C = 100°

[tex]\dfrac{a}{\sin 40}=\dfrac{b}{\sin 40}=\dfrac{2}{\sin 100}[/tex]

[tex]\implies a=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]

[tex]\implies b=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]

----------------------------------------------------------------------

Question 1aa

Given: A = 110°, C = 30°, c = 2

110° + 30° + B = 180°

⇒ B = 40°

[tex]\dfrac{a}{\sin 110}=\dfrac{b}{\sin 40}=\dfrac{3}{\sin 30}[/tex]

[tex]\implies a=\sin 110 \cdot \dfrac{3}{\sin 30}=5.638155725...[/tex]

[tex]\implies b=\sin 40\cdot\dfrac{3}{\sin 30}=3.856725658...[/tex]

Using interest equations, it is found that it will take 1.08 year more for Lydia's money to triple than for Lily's.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

It is given by:

[tex]A(t) = Pe^{rt}[/tex]

For Lily, the parameters are as follows: r = 0.065, with continuous compounding. The time to triple is t for which A(t) = 3P, hence:

[tex]A(t) = Pe^{rt}[/tex]

[tex]3P = Pe^{0.065t}[/tex]

[tex]e^{0.065t} = 3[/tex]

[tex]\ln{e^{0.065t}} = \ln{3}[/tex]

[tex]0.065t = \ln{3}[/tex]

[tex]t = \frac{\ln{3}}{0.065}[/tex]

[tex]t = 16.90[/tex].

For Lydia, using compound interest, the parameters are: r = 0.06125, n = 12, hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]3P = P\left(1 + \frac{0.06125}{12}\right)^{12t}[/tex]

[tex](1.00510416667)^{12t} = 3[/tex]

[tex]\log{(1.00510416667)^{12t}} = \log{3}[/tex]

[tex]12t\log{(1.00510416667)} = \log{3}[/tex]

[tex]t = \frac{\log{3}}{12\log{(1.00510416667)}}[/tex]

[tex]t = 17.98[/tex]

17.98 - 16.9 = 1.08, hence, it will take 1.08 year more for Lydia's money to triple than for Lily's.

More can be learned about interest equations at https://brainly.com/question/25781328

b i your answer i know it

Step-by-step explanation:

The 3rd Box-and-Whisker Plot correctly depicts the data given.

We have the Box-and-Whisker Plots for the data -

{22, 24, 24, 25, 26, 26, 27, 28, 28, 30} shown in the image.

We can identify the boxplot by the median calculation easily. We can find the median of the given data set as -

[M] = (26 + 26)/2 = (2 x 26)/2 = 26

Therefore, the 3rd Box-and-Whisker Plot correctly depicts the data given.

To solve more questions on Box-and-Whisker Plots, visit the link below

https://brainly.com/question/26963285

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