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Answer:

a) 0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.

b) [tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.

Step-by-step explanation:

Poisson distribution:

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

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.

Two from the best friend:

Her best friend sends a message once every 10 minutes.

From 6 to 7:30, there is an hour and a half, that is, 90 minutes, so the mean for her best friend is [tex]\mu = \frac{90}{10} = 9[/tex]

Two messages is P(X = 2). So

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

[tex]P(X = 2) = \frac{e^{-9}*9^{2}}{(2)!} = 0.0050[/tex]

Two from the mother:

Message every hour = 60 minutes. So [tex]\mu = \frac{90}{60} = 1.5[/tex]. This is P(X = 2).

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

[tex]P(X = 2) = \frac{e^{-1.5}*1.5^{2}}{(2)!} = 0.2510[/tex]

Two of her best friend and two of her mother:

Independent events, so the probability of both happening is the multiplication of their separate probabilities.

[tex]p = 0.005*0.251 = 0.0013[/tex]

0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.

B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.

In 3 hours, she is expected to receive:

3*60/10 = 18 messages from her best friend.

3*60/60 = 3 messages from her mother.

3*60/30 = 6 messages from her brother.

In total, 27 messages.

75% probability of a typo, so [tex]\mu = 0.75*27 = 20.25[/tex]

This is P(X = 0).

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

[tex]P(X = 0) = \frac{e^{-20.25}*20.25^{0}}{(0)!} = 1.6 \times 10^{-9}[/tex]

[tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.

Answer:

free d ddddddd

yes fast

????

Using equivalent angles, it is found that the coterminal angle is of 270º.

In this problem:

You can learn more about equivalent angles are https://brainly.com/question/21737963

Answer:

37 centimeters

Step-by-step explanation:

First, since the triangles are similar, find out how much larger STR is than HIJ by finding an similar side and dividing the numbers. Since the only similar side that we know both numbers on it ST and HI, so we divide 10 by 4 to get the unit rate, which is 5/2. The missing side on STR is the bottom, so to get it, multiply 6, the bottom of the other triangle, by the unit rate, 5/2, to get the answer of 15. Then, perimeter is all of the sides added up, so 10+12+15=37 cm.

(hope this helps :P)

Answer:

A

Step-by-step explanation:

90 - 12b = - 3b + 63

- 12b + 3b = 63 - 90

- 9b = - 27

- b = - 27/9

-b = -3

b = 3

to find the measure of MQR:

-3*3 + 63 = 54°

to find the measure of LQR:

180 - 54 = 126° + 1 = 127°

====================================================

Work Shown:

Angles MQX and LQR are vertical angles, so they are equal to one another.

angle MQX = angle LQR

-4a+139 = 4a+123

-4a-4a = 123-139

-8a = -16

a = -16/(-8)

a = 2

Use this to find each angle

We get the same value 131 each time, so this confirms we have the correct value for 'a', and it confirms our answer for angle LQR.

Answer:

x = -1

Step-by-step explanation:

x+5-4x=8

-5       -5

x-4x=3

-3x=3

/-3    /-3

x=-1

Answer:

Answer is right!

Step-by-step explanation:

Have a nice day!

Answer:

0.1575 = 15.75% probability that the visitor makes a purchase

Step-by-step explanation:

We have these following probabilities:

55% probability that a visitor selects a day visit, and in this case, 10% probability of making a purchase.

25% probability that a visitor chooses a one-night visit, and in this case, 25% probability of making a purchase.

20% probability that a visitor chooses for a two night visit, and in this case, 20% probability of making a purchase.

What is the probability that the visitor makes a purchase

[tex]p = 0.55*0.1 + 0.25*0.25 + 0.2*0.2 = 0.1575[/tex]

0.1575 = 15.75% probability that the visitor makes a purchase

Answer:

AB = [tex]5\sqrt{3}[/tex]  cm

Step-by-step explanation:

The diagonal of the bottom square is the hypotenuse of two right triangles with legs 5 and 5

So, the length of that diagonal, say x,  of a 45-45-90 triangle where x is the hypotenuse is x = [tex]5\sqrt{2}[/tex]

Now that diagonal is a leg of the right triangle where AB is the hypotenuse and 5 is the length of the other leg.

So, [tex]x^{2} + 5^{2} = AB^{2}[/tex]  =  [tex](5\sqrt{2} )^{2}[/tex] + 25

                                =  50 + 25

                               = 75

Therefore   AB = [tex]\sqrt{75}[/tex] = [tex]5\sqrt{3}[/tex]

Answer:

Step-by-step

Monthly Payment $1,088.41

Total Interest Paid $1,121.77

Total Paid $26,121.77

Mark  brainliest if this answer is correct please

Answer:

A if its wrong im sorry

Step-by-step explanation:

The function is (f ÷ g) (x) is given as [tex](3.6)^{-2x + 1}[/tex]. Then the correct option is A.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The functions are given as

[tex]\rm f(x) = (3.6)^{x + 2}\\\\\\g(x) = (3.6)^{3x + 1}[/tex]

The f(x) is divided by the g(x), we have

[tex]\rm (f \div g ) (x) = \dfrac{f(x)}{g(x)} = \dfrac{(3.6)^{x + 2}}{(3.6)^{3x + 1}}\\\\\\(f \div g ) (x) = (3.6)^{x + 2}*(3.6)^{-(3x + 1)}\\\\\\(f \div g ) (x) = (3.6)^{x + 2- 3x - 1}\\\\\\(f \div g ) (x) = (3.6)^{-2x + 1}[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

f(x)*g(x)  =   [tex]-2x^{3} - 12x^{2} - 27x - 44[/tex]

Step-by-step explanation:

I am assuming that * means multiplication

(f*g)(x) = f(x)*g(x)

So, f(x)*g(x)  =  (-x-4)([tex]2x^{2} + 4x + 11[/tex]) = [tex]-2x^{3} - 4x^{2} - 11x - 8x^{2} - 16x - 44[/tex]

                                                       =  [tex]-2x^{3} - 12x^{2} - 27x - 44[/tex]

Answer:

CD = 10

Step-by-step explanation:

Answer:

CD=10 is the answer to your question

Answer:

173

Step-by-step explanation:

Answer:  173 bagels are left after the first hour.

Step-by-step explanation:  if they had 246 bagels to start with, and they sold 73 in the first hour. 246-73=173.

Answer:

0.4 and 0.2.

Step-by-step explanation:

For the first problem, you divide 5 by 2.

[tex]\frac{2}{5} = 0.4.[/tex]

This gives you 0.4

For the second problem, we simplify the fraction, first.

[tex]\frac{5}{25} = \frac{1}{5} .[/tex]

Then, we divide 1 by 5.

[tex]\frac{1}{5} = 0.2.[/tex]

This gives you 0.2.

Answer:

a and b I think

Step-by-step explanation:

I'm not sure if that is right i haven't learned that in a while

Given :

Diameter of the flask = 25 cm

radius, r = [tex]$\frac{25}{2}$[/tex] cm

Height of the flask, h = 40 cm

We have to find out the volume of the cylinder flask

Volume [tex]$= \pi r^2h$[/tex]

           [tex]$= 3.14 \times (\frac{25}{2})^2 \times 40$[/tex]

          = [tex]$19634.95 \ cm^3$[/tex]

          = [tex]$19635 \ cm^3$[/tex]

Now calculate the volume of the marble

Given :

Diameter = 13 mm

radius, R [tex]$=\frac{13}{2} \ mm$[/tex]

Therefore, volume of the marble [tex]$=\frac{4}{3}\pi R^3$[/tex]

                                                  [tex]$=\frac{4}{3}\times 3.14 \times (\frac{13}{2})^3$[/tex]

                                                   [tex]$= 1150.35 \ mm^3$[/tex]

                                                or  [tex]$= 115.035 \ cm^3$[/tex]

Therefore, the number of the marbles [tex]$=\frac{\text{volume of flask}}{\text{volume of marble}}$[/tex]

                                                          [tex]$=\frac{19635}{115.035}$[/tex]

                                                        = 170.68

Therefore, the number of the marbles used is approximately 170.                  

Answer:

Yes 25% + 30% =55%

Step-by-step explanation:

yes because 25+30 =55

The final cost not be same as 55% discount.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

A toy store offers an additional 25% discount on board games that have already been reduced by 30%.

let the the price of toy be $100.

So, the price after 30% discount

= 100 - 100 x 0.30

= 100 - 30

= $70

and, additional 25% discount

= 70 - 70 x 0.25

= $52.5

Now, if discount is 55% then price would be

= 100 - 100 x 0.55

= $45

Hence, the case is not same.

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ2

Answer:

Utilizing storytelling to transmit educational messages is a traditional pedagogical method practiced by many American Indian tribes. American Indian stories are effective because they present essential ideas and values in a simple, entertaining form. Different story characters show positive and negative behaviors.

Step-by-step explanation:

Answer:

28/x=34

28/34=x

x=0.825is the required answet

Answer:

x = 17/14

Step-by-step explanation:

28 * x = 34

x * 28 = 34

Let's divide by 28 on both sides:

x = 34/28

Let's simplify by dividing both 34 and 28:

x = 17/14

17 is a prime number, so we can't simplify any further.

x = 17/14

Answer:

Since the calculated value of Z= 0.242887  is less than  Z (0.05) = 1.645 and falls in the critical region we  reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.

Step-by-step explanation:

Here

p1= proportion of women who  would rather be poor and thin than rich and fat

p1= 315/500= 0.63

p2= proportion of men who  would rather be poor and thin than rich and fat

p2= 220/400= 0.55

1) Formulate the hypothesis as

H0: p1>p2   against the claim  Ha: p1 ≤ p2

2) Choose the significance level ∝0.05

3) The test Statistic under H0 , is

Z= p1^ - p2^ / sqrt( pc^qc^( 1/n1 + 1/n2))

pc^= an estimate of the common proportion

pc ^ = n1p1^ + n2p2^/ n1+n2

4) The critical region is Z≤ Z (0.05) = 1.645

5)  Calculations

pc^ = 315+ 220/ 500+400=  535/900

pc^= 0.5944

and qc^= 1-0.5944= 0.4055

Thus

Z = 0.63-0.55/ sqrt ( 0.5944*0.4055( 1/500+ 1/400))

Z= 0.08/ sqrt (0.24108 (900/2000))

Z= 0.08/√0.10849

Z= 0.242887

Conclusion :

Since the calculated value of Z= 0.242887  is less than  Z (0.05) = 1.645 and falls in the critical region we  reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.

Answer:

I think ita would be 2/6 as well

Step-by-step explanation:

simplify it down to 1/3 and the blue take up one third and so does the green socks

Answer:

2/6 socks are white.

Step-by-step explanation:

The denominator (6) is the amount of socks you have.

If 2/6 are blue and 2/6 are green. 4/6 are Blue & Green.

To find the remaining amount of socks you would simply subtract 6/6 by 4/6

That would leave you with 2/6 of the socks being WHITE.

Hope this helps you!! <3

Answer:

the answer will be hores collar

Step-by-step explanation:

thank you

Answer:

Horse Collar

Step-by-step explanation: I got it correct :D sorry im a bit late, that being said, this is for people who want an answer

Answer:

1.28

2. -3.5

3.-10.5

Step-by-step explanation:

1.-0.0035 · 12000+70= 28

2. -0.0035 ·21000+70=-3.5

3. -0.0035 ·23000+70=-10.5

I hope this helps