How old is that dog if his sister is 12 and he is 3 years older

Answers

Answer 1

The dog is 15 year old in dog years.

In our eyes he's one, however in the eyes of a dog he is 15

small edit! thank you brainliest!!


Related Questions


Determine the total number of roots of each polynomial function using the factored form.
f (x) = (x + 5)^3(x - 9)(x + 1)

Answers

Answer:

  5

Step-by-step explanation:

When the factors are linear, as here, the total number of roots is the sum of the exponents of the factors:

  3 + 1 + 1 = 5 . . . . sum of factor exponents

f(x) has 5 roots.

Before soccer practice, Laura warms up by jogging around the outside of the entire soccer field. The field measures 80 meters by 120 meters.
If Laura wants to know how many meters she jogged in all, which measurement should she find?
Choose 1 answer:
area
length
perimeter

Answers

Answer:

perimeter

Step-by-step explanation:

She would choose perimeter

Because perimeter is the outside of a object and she ran the outside of the soccer field so ya mark be as brainliest plssss

Find the missing value
A) 14
B) 12
C) 10
D) 13

Answers

Answer:

12

Step-by-step explanation:

One part is 1 so 13 minus 1 is 12

What’s the correct answer for this?

Answers

Answer:

x = 7

Step-by-step explanation:

<ACF = 90° (since AB is the diameter and it is perpendicular to EF)

But <ACF = 2(7x-4)

So

2(7x-4) = 90

14x-8 = 90

14x = 90+8

14x = 98

Dividing both sides by 14

x = 7

Classify the triangle based on its angles and sides

Answers

Answer:

Options (c) and (f)

Step-by-step explanation:

In the given triangle,

Measure of one angle is 90°.

Therefore, it's a right angle triangle.

Since two angles of the given triangle are equal, opposite sides of this triangle will be equal.

Therefore, the given right triangle is an isosceles triangle.

Options (c) and (f) will be the answer.

Gabriel started to calculate the area of the triangle. His work is shown.


A =

1

2

bh


=

1

2

(

1

2

) (

3

4

)

Answers

Answer:

Like for black lives

Step-by-step explanation:

black lives matter yeahhhhhh



A card is chosen from a standard deck of cards. The drawer is looking for clubs and face cards.






Club not a club


Face card 3 9


Not a face card 10 13



Find P(Club | Not a Face Card).


Question 13 options:


52/13


3/13


1/4


10/13

Answers

Answer:

[tex](C)\dfrac{1}{4}[/tex]

Step-by-step explanation:

In a standard deck,

Total Number of cards=52Number of face cards=12Number of Clubs =13

The table below gives the distribution of the cards.

[tex]\left|\begin{array}{c|c|c|c}&$Club&$Not a club\\----&----&---&----\\$Face card&3&9&12\\$Not a face card&10&30&40\\----&----&---&----\\$Total&13&39&52\end{array}\right|[/tex]

[tex]P($Club$ | $Not a Face Card)$=\dfrac{10}{40}\\ =\dfrac{1}{4}[/tex]

The correct option is C.

Given tan θ = 2 and sin θ < 0. Find cos(θ +pi/4)

Answers

Answer:

√10 / 10

Step-by-step explanation:

tan θ > 0 and sin θ < 0, so θ is in quadrant III.  That means cos θ < 0.

cos(θ + π/4)

Use angle sum formula.

cos θ cos(π/4) − sin θ sin(π/4)

½√2 cos θ − ½√2 sin θ

Factor.

½√2 cos θ (1 − tan θ)

½√2 cos θ (1 − 2)

-½√2 cos θ

Write in terms of secant.

-½√2 / sec θ

Use Pythagorean identity (remember that cos θ < 0).

-½√2 / -√(1 + tan²θ)

-½√2 / -√(1 + 2²)

½√2 / √5

√10 / 10

A can of pumpkin pie mix contains a mean of 30 ounces and a standard deviation of 2 ounces. The contents of the cans are normally distributed.. Supposed four can of pumpkin pie mix are randomly selected What is the probalility that the average content of cans in sample is between 28.0 ounces and 31.5

Answers

Answer:

[tex]P(28<X<31.5)=P(\frac{28-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{31.5-\mu}{\sigma})=P(\frac{28-30}{2}<Z<\frac{31.5-30}{2})=P(-1<z<0.75)[/tex]

We can find this probability with this difference

[tex]P(-1<z<0.75)=P(z<0.75)-P(z<-1)[/tex]

If we use the normal standard distribution or excel we got:

[tex]P(-1<z<0.75)=P(z<0.75)-P(z<-1)=0.773-0.159=0.614[/tex]

Step-by-step explanation:

Let X the random variable that represent the weights for a can of pumpkin pie, and for this case we know the distribution for X is given by:

[tex]X \sim N(30,2)[/tex]  

Where [tex]\mu=30[/tex] and [tex]\sigma=2[/tex]

We are interested on this probability

[tex]P(28<X<31.5)[/tex]

We can use the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Using this formula we got:

[tex]P(28<X<31.5)=P(\frac{28-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{31.5-\mu}{\sigma})=P(\frac{28-30}{2}<Z<\frac{31.5-30}{2})=P(-1<z<0.75)[/tex]

We can find this probability with this difference

[tex]P(-1<z<0.75)=P(z<0.75)-P(z<-1)[/tex]

If we use the normal standard distribution or excel we got:

[tex]P(-1<z<0.75)=P(z<0.75)-P(z<-1)=0.773-0.159=0.614[/tex]

From 1985 to 2003, the total attendance A (in thousands) at NCAA women’s basketball​ games can be modeled by =−1.95^3​ +70.1x^2​ −188+2150 where x is the number of years since 1985.


a. What is the initial value of this function (the attendance in 1985)?



b. Find the attendance for the year 1998.

Answers

Answer:

21507269

Step-by-step explanation:

We assume your intended attendance equation is ...

  A = -1.95x^3 +70.1x^2 -188x +2150

a. For x=0 (corresponding to 1985), the first three terms are 0, so we have ...

  A = 2150 . . . . the initial value of the function

__

b. For x=13 (corresponding to 1985) we have ...

  A = ((-1.95(13) +70.1)(13) -188)(13) +2150 = (44.75(13) -188)(13) +2150

  = 393.75(13) +2150 = 7268.75

Attendance in the year 1998 is modeled to be about 7269.

You entered a room, of 34 people. A shooter then enters killing 30. How many people are left in the room?

Answers

Answer: 5 people

Step-by-step explanation: I was the killer... lol

7-9. A deli sliced 13.7 kilograms of
roast beef one week and 22.53
kilograms the next. How many total
kilograms of roast beef did the deli
slice in the two weeks?​

Answers

Answer:

36.23 kilograms of roasted beef

Step-by-step explanation:

If deli sliced 13.7 kilograms (kg) of roasted beef one week

He sliced 22.53 kilograms (kg) the next week

Total sliced kilograms of roasted beef=13.7 kg + 22.53 kg

=36.23 kg

The deli sliced a total of 36.23 kilograms of roasted beef in the two weeks.

A box of books weighs 26lb. Convert the weight to kilograms. Round to the nearest tenth.

Answers

Answer:

26 lb is 11.8 kg.

Step-by-step explanation:

A pound (lb) is a unit of mass used in the imperial and US customary systems of measurement.

A kilogram (kg) is the base unit of mass in the International System of Units (SI).

To convert 26 lb to kg.

First, use the conversion factor between pounds and kilograms.

1 kg = 2.2046 lb

Next, write the following equation to find the weight in kg:

weight in kg = weight in lb x (1 kg / 2.2046 lb)

The pounds cancel out, leaving kilograms.

weight in kg = 26 lb x (1 kg / 2.2046 lb)

weight in kg  = 11.7935 kg

Rounding to the nearest tenth.

weight in kg  = 11.8 kg

What is the square root of a triangle

Answers

Answer:

30 60 90

Step-by-step explanation:

Solve the following quadratic equation using the quadratic formula. Separate multiple answers with a comma if necessary.

[tex]−yx^{2} +4y−6=0[/tex]

Answers

Answer:

[tex] y^2 -4y +6=0[/tex]

[tex] y =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

Where [tex] a = 1, b= -4 ,c =6[/tex]

And replacing we got:

[tex] y = \frac{-(-4) \pm \sqrt{4^2 -4(1)(6)}}{2*1}[/tex]

And solving we got:

[tex] y = \frac{4 \pm \sqrt{-8}}{2} =2 \pm 2\sqrt{2} i[/tex]

Where [tex] i =\sqrt{-1}[/tex]

And the possible solutions are:

[tex] y_1=2 + 2\sqrt{2} i , y_2 = 2 - 2\sqrt{2} i [/tex]

Step-by-step explanation:

For this case we use the equation given by the image and we have:

[tex] -y^2 +4y -6=0[/tex]

We can rewrite the last expression like this if we multiply both sides of the equation by -1.

[tex] y^2 -4y +6=0[/tex]

Now we can use the quadratic formula given by:

[tex] y =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

Where [tex] a = 1, b= -4 ,c =6[/tex]

And replacing we got:

[tex] y = \frac{-(-4) \pm \sqrt{4^2 -4(1)(6)}}{2*1}[/tex]

And solving we got:

[tex] y = \frac{4 \pm \sqrt{-8}}{2} =2 \pm 2\sqrt{2} i[/tex]

Where [tex] i =\sqrt{-1}[/tex]

And the possible solutions are:

[tex] y_1=2 + 2\sqrt{2} i , y_2 = 2 - 2\sqrt{2} i [/tex]

What are the advantages of a closed​ question? A. Closed questions allow the respondent to go​ in-depth with their answers. B. It is possible to automate the collection of results for closed questions. C. Closed questions allow for new solutions to be introduced. D. It is easy to quantify and compare the results of surveys with closed questions.

Answers

Answer:

closed questions are questions with fixed answer options

A. Closed questions allow the respondent to go​ in-depth with their answers.

no, it is relevant to open questions

B. It is possible to automate the collection of results for closed questions.

yes

C. Closed questions allow for new solutions to be introduced.

no, it allows to collect statistical data but not good for new solutions, it better works with open questions when new ideas, solutions may appear

D. It is easy to quantify and compare the results of surveys with closed questions.

yes

A ball thrown into the air from a roof 15 feet above the ground with an initial vertical velocity of 30 ft/sec can be modeled by the equation: . How long will the ball be in the air? What is it’s maximum height?

Answers

Answer:

Total time of flight= 6.3 s

Total Max height= 60.87ft

Step-by-step explanation:

Height above ground = 15ft

Velocity=30ft/sec

Angle = 90°

Max height traveled= U²Sin²tita/2g

Max height traveled= ( 30²*1²)/(2*9.81)

Max height traveled= 900/19.62

Max height traveled= 45.87 ft

Total Max height= 15+45.87= 60.87ft

Time travel to Max height

=( usin90)/g

Time travel to initial position

= (30*sin90)/9.81

= 3.1 s

Time to travel to the ground from Max height

H = 1/2gt²

60.87= 1/2 * 9.81*t²

(60.87*2)/9.81= t²

3.5 = t

Total time of flight = 3.5+3.1

Total time of flight= 6.3 s

Here is a quote from a Gallup report: "According to a 2018 Gallup poll, 5% of U.S. adults consider themselves to be vegetarian. Nonwhite Americans (9%) are three times as likely as white Americans (3%) to describe themselves as vegetarian." This statement is based on a random sample of 1033 American adults interviewed in July 2018, in which 270 respondents identified as "nonwhite" and 742 as "white."
The cited value 5% is part of the:___________.
A. Experimental,
B. Conditional,
C. Observational,
D. Anecdotal,
E. Marginal
distribution of the
A. Ethnicity, given diet choice,
B. Diet choice, given ethnicity,
C. Ethnicity,
D. Diet
The cited value 9% is part of the:________.
A. conditional
B. observational
C. anecdotal
D. marginal
E. experimental
distribution of:__________
1. diet choice, given ethnicity
2. ethnicity, given diet choice
3. ethnicity, diet choice.
Which math symbol represents the cited value 5%?

Answers

Answer:

Options C, D

Options E, 1

Step-by-step explanation:

The cited value 5% is part of the observational distribution of the diet

The cited value 9% is part of the experimental distribution of diet choice, given ethnicity

The math symbol that represent the 5% is P- the population proportion.

These two figures are the image and pre-image of a
dilation.
Find the value of x.
4 m
6 m
8 m
9 m​

Answers

Answer:

D.) 9m

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

i just did the question

In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0 respectively. If the coefficient skewness is - 0.38
What is the appropriate value of the third quartile

Answers

Answer:

56.45  

Step-by-step explanation:

Coefficient skewness=(Third quartile+ first quartile)-n*Median/Third quartile-first quartile

Third quartile is the unknown?

First quartile is 30.8

n is the number of steps taken from first quartile to reach third quartile which is 2 steps.

coefficient skewness is -0.38

let p represent third quartile

-0.38=(p+30.8)-2(48.5)/p-30.8

by cross multiplication

-0.38(p-30.8)=(p+30.8)-97

-0.38p+ 11.704  =p+30.8-97

-0.38p-p=30.8-97-11.704

-1.38p=-77.904

p=-77.904 /-1.38= 56.45  

visible light comes from which one of the sun's layers

Answers

Answer:

pHotOsPHerE

Step-by-step explanation:

Answer:

Photosphere

Step-by-step explanation:

In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the iPad Mini showed a mean life of 10.25 hours (The Wall Street Journal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.
a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?c. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

Answers

Answer:

a) 0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less

b) 0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c) 0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours

d) 86 should have a battery life of at least 9 hours.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]

The probability of being higher than x is:

[tex]P(X > x) = \frac{b - x}{b-a}[/tex]

The probability of being between c and d is:

[tex]P(c \leq X \leq d) = \frac{d-c}{b-a}[/tex]

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

This means that [tex]a = 8.5, b = 12[/tex]

a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]

[tex]P(X \leq 10) = \frac{10 - 8.5}{12 - 8.5} = 0.4286[/tex]

0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less.

b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

[tex]P(X > x) = \frac{b - x}{b-a}[/tex]

[tex]P(X > 11) = \frac{12 - 11}{12 - 8.5} = 0.2857[/tex]

0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

[tex]P(c \leq X \leq d) = \frac{d-c}{b-a}[/tex]

[tex]P(9.5 \leq X \leq 11.5) = \frac{11.5 - 9.5}{12 - 8.5} = 0.5714[/tex]

0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours.

d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

Proportion of iPad Minis with a battery life of at least 9 hours.

[tex]P(X > 11) = \frac{12 - 9}{12 - 8.5} = 0.8571[/tex]

Out of 100:

0.8571*100 = 85.71

To the nearest whole number

86 should have a battery life of at least 9 hours.

Which equation represents this number sentence?
Two less than one-fourth of a number is 10.

Answers

Answer:

1/4n-2=10

Step-by-step explanation:

the square root of 20 is between what two whole numbers

Answers

Answer:

4 - 5

Step-by-step explanation:

square root of 20 is 4.472135955 therefore the two whole numbers it is between are 4 and 5.

The range of which function includes -4?
A y=-x-5
B y=√x+5
C y=√x+5
D y=-{X-5

Answers

The correct answer to this would be A for sure !

Range of the given function  y=-x-5 includes -4

What is function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

For the given function,

y = -x-5

Wen we put x = -1

we get y = -4

Also,

The range of this function is (-∞, ∞)

Hence,

The function  y = -x-5 includes the -4.

To learn more about function visit:

https://brainly.com/question/8892191

#SPJ7

Matthew can jog 3 and ⅖ miles in ⅞ of an hour. Find his average speed in miles per hour.

Answers

Answer:

3 [tex]\frac{31}{35}[/tex] mph ≈ 3.8857 mph

Step-by-step explanation:

Speed = distance/time

1) Plug the numbers in.

Speed = 3 ⅖ / ⅞

2) Convert the numbers to decimals.

Speed = 3.4 / 0.875

3) Solve.

Speed ≈ 3.8857 mph = [tex]\frac{136}{35}[/tex] mph = 3 [tex]\frac{31}{35}[/tex] mph

ANOTHER WAY TO SOLVE

Speed = distance/time

1) Plug the numbers in.

Speed = 3 ⅖ / ⅞

2) Convert into improper fractions

Speed = [tex]\frac{17}{5}[/tex] / [tex]\frac{7}{8}[/tex]

3) Multiply by the reciprocal

Speed =  [tex]\frac{17}{5}[/tex] × [tex]\frac{8}{7}[/tex] = [tex]\frac{136}{35}[/tex] mph = 3 [tex]\frac{31}{35}[/tex] mph

Please answer this correctly

Answers

Answer:

12.49 ft²

Step-by-step explanation:

The straight parts of P are both r,

So 2r + 2πr / 4 = 14.28

r (2 + π/2) = 14.28

r = 14.28 / 3.57 = 4

the area will be πr²/4 ≈ 12.56 ft²

Answer: 12.56 ft²

Step-by-step explanation:

Perimeter of a circle is known as the circumference.

C = 2π·r   where r is the radius.

Perimeter of the curve of the quarter circle + both sides

[tex]Perimeter=\dfrac{1}{4}Circumference+2\ sides\\\\\\P = \dfrac{1}{4}2\pi \cdot r+2r\\\\\\14.28=\dfrac{\pi\cdot r}{2}+2r\\\\\\28.56=\pi \cdot r+4r\\\\\\28.56=r(\pi +4)\\\\\\\dfrac{28.56}{\pi +4}=r[/tex]

 

A = π·r²

[tex]\dfrac{1}{4}A=\dfrac{1}{4}\pi \cdot r^2\\\\\\.\quad =\dfrac{1}{4}\pi \bigg(\dfrac{28.56}{\pi +4}\bigg)^2\\\\\\.\quad =\dfrac{1}{4}(3.14)\bigg(\dfrac{28.56}{7.14}\bigg)^2\\\\\\.\quad = \large\boxed{12.56}[/tex]

The data represents the daily rainfall​ (in inches) for one month. Construct a frequency distribution beginning with a lower class limit of 0.00 and use a class width of 0.20.Does the frequency distribution appear to be roughly a normal​distribution?data0.3800.220.06000.2100.530.18000.02000.24000.01001.280.2400.190.53000.240Daily Rainfall​(in inches)Frequency0.00 dash 0.190.00-0.19nothing0.20 dash 0.390.20- 0.39nothing0.40 dash 0.590.40-0.59nothing0.60 dash 0.790.60-0.79nothingDaily Rainfall​(in inches)Frequency0.80 dash 0.990.80-0.99nothing1.00 dash 1.191.00-1.19nothing1.20 dash 1.391.20-1.39nothingDoes the frequency distribution appear to be roughly a normal​distribution?A. ​No, although the distribution is approximately​ symmetric, the frequencies do not start​ low, increase to some maximum​ frequency, then decrease.B. ​No, although the frequencies start​ low, increase to some​maximum, then​ decrease, the distribution is not symmetric.C. ​No, the distribution is not symmetric and the frequencies do not start off low.D. Yes, all of the requirements are met.

Answers

Answer:

C.  ​No, the distribution is not symmetric and the frequencies do not start off low.

Step-by-step explanation:

Hello!

You have the data of daily rainfall for one month (inches)

To arrange a data set in a frequency table you have to determine the number of class intervals you want to make, then you calculate their widths as: "total observations"/"desired number of intervals". Once you have the class width, you can determine the limits of the intervals. For the first interval, you select the minimum value of the sample and add the width to obtain the upper limit. Then you have to use that limit as the lower limit of the next interval and add the width to obtain the next limit. And so on until the last one.

In this example you have a given class width of 0.20 and the lower limit for the first interval is 0.00.

Once you have all intervals determined, you have to arrange the data set from least to greatest and count how many observations correspond to each interval.

The symbol [;) in the intervals indicates that the interval is "closed" on the lower limit and "open" on the upper limit. Meaning, if you have for example the observation "0.20" and the intervals [0.00; 0.20) and [0.20; 0.40), the first interval has a limit equal to 0.20 but is open, meaning that the observation does not belong to it, it belongs to the next interval.

(See table in attachment)

Does the frequency distribution appear to be roughly a normal​ distribution?

A.  ​No, although the distribution is approximately​ symmetric, the frequencies do not start​ low, increase to some maximum​ frequency, then decrease.

B.  ​No, although the frequencies start​ low, increase to some ​maximum, then​ decrease, the distribution is not symmetric.

C.  ​No, the distribution is not symmetric and the frequencies do not start off low.

D.  ​Yes, all the requirements are met.

As you can see not all defined intervals have at least one observed frequency, most of the observations belong to the first and second one. And there is value, 1.28 inches, that shifts the distribution to the right making it strongly skewed. This distribution is far away from being normally distributed.

Hope it helps!

The length of time for one individual to be served at a cafeteria is an exponential random variable with mean of 6 minutes. Assume a person has waited for at least 4 minutes to be served. What is the probability that the person will need to wait at least 9 minutes total

Answers

Answer:

43.46% probability that the person will need to wait at least 9 minutes total

Step-by-step explanation:

To solve this question, we need to understand conditional probability and the exponential distribution.

Conditional probability:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Expontial distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this question:

Event A: Waited at least 4 minutes.

Event B: Waiting at least 9 minutes.

The length of time for one individual to be served at a cafeteria is an exponential random variable with mean of 6 minutes.

This means that [tex]m = 6, \mu = \frac{1}{6}[/tex]

Probability of waiting at least 4 minutes.

[tex]P(A) = P(X \geq 4) = P(X > 4)[/tex]

[tex]P(A) = P(X > 4) = e^{-\frac{4}{6}} = 0.5134[/tex]

Intersection:

The intersection between a waiting time of at least 4 minutes and a waiting time of at list 9 minutes is a waiting time of 9 minutes. So

[tex]P(A \cap B) = P(X > 9) = e^{-\frac{9}{6}} = 0.2231[/tex]

What is the probability that the person will need to wait at least 9 minutes total

[tex]P(B|A) = \frac{0.2231}{0.5134} = 0.4346[/tex]

43.46% probability that the person will need to wait at least 9 minutes total

An athlete eats 85 grams of protein per day while training. How much is this in milligrams ?

Answers

Answer: 85,000 milligrams

1 gram= 1,000 milligrams

85 × 1,000 = 85,000 milligrams
Other Questions
John wants to send a letter to Peter, who lives on TeslaStreet. John doesn't remember the house number.However, he knows that it has 4 digits, it is a multiple of 5and 7 and that the last digit is 0. What is the minimum numberof letters that John has to send to be sure that Peter receives his letter? What human activities have led to an increase in greenhouse gases in the atmosphere? Explain the difference between the columns commonly found on nutrition labels called "As Packaged" and "As Prepared." Example:Qu es lo que tienes en el altillo? (un lbum de fotos)Example answer:Lo que tengo en el altillo es un lbum de fotos.Question 1 Qu es lo que preparas en la cocina? (el almuerzo)Question 2 Qu es lo que buscas en el estante? (mi libro favorito)Question 3 Qu es lo que te gusta hacer en verano? (ir al campo)Question 4 Qu es lo que vas a poner en el balcn? (un sof)Question 5 Qu es lo que tienes en el armario? (mucha ropa)Question 6 Qu es lo que le vas a regalar a tu hermana? (una Please help me with this question please help The following data are taken from the financial statements of Ivanhoe Company. 2017 2016 Accounts receivable (net), end of year $ 581,300 $ 557,500 Net sales on account 4,888,000 4,117,000 Terms for all sales are 1/10, n/45 Collapse question part (a) Compute for each year the accounts receivable turnover. At the end of 2015, accounts receivable was $519,500. (Round answers to 1 decimal place, e.g. 12.5.) car is moving at 75 kilometers per hour what is its speed in metres per minutes? If Jodi eats 2 chocolates she will consume 72 calories how many calories will she consume if she eats 5 chocolates Automobile policies are separated into two groups: low-risk and high-risk. Actuary Rahul examines low-risk policies, connuing unl a policy with a claim is found and then stopping. Actuary Toby follows the same procedure with high-risk policies. Each low-risk policy has a 10% probability of having a claim. Each high-risk policy has a 20% probability of having a claim. The claim statuses of polices are mutually independent. Calculate the probability that Actuary Rahul examines fewer policies than Actuary Toby. What evidence best indicates that sulfuric acid (H2SO4) is a strong acid?a. Sulfuric acid completely dissociates by donating hydrogen ions.b. Sulfuric acid partially dissociates by forming hydroxide ions.c. Sulfuric acid completely dissociates by forming hydroxide ions.d. Sulfuric acid partially dissociates by donating hydrogen ions. A physician conducts a survey among 100 patients suffering from migraine headaches severity among his patients. What kind of data analysis would he apply to interpret the results obtained from this survey? Which of the following causes ozone depletion?A. coal burning power plants releasing large amounts of sulfurB. foaming agents or plastics releasing chloroflourocarbonsC. excessive carbon dioxide blanketing the earthD. overuse of nitrogen-containing materials polluting bodies of water Please answer CORRECTLY !!!!!!!! Will mark BRAINLIEST !!!!!!!!! How many 3-digit multiples of 13 are there? You have just won the lottery and will receive $560,000 in one year. You will receive payments for 26 years, and the payments will increase 4 percent per year. If the appropriate discount rate is 11 percent, what is the present value of your winnings If you put $6.24 into a savings account that earns 5%, how much interest will you receive at the end of four years You are sitting on a merry-go-round at a distance of 2m from its center. It spins 15 times in 3 min. What distance do you move as you make one revolution? What is your angular speed in RPM? What is your linear speed in meters per SECOND? Which two countries proved to be self-sufficient but were still plagued by highunemployment?A.Austria and PolandB.Germany and RussiaC.great Britain and Spain D. France and Portugal The Magna Carta was important in English history because it: A) Centralized power B) affirmed the divine right of monarchs C) Granted the Nobles the right to approve taxes D) established elections For government officials throughout England Nelson decides to invest $1,000,000 in a period annuity that earns 4.8% APRcompounded monthly for a period of 15 years. How many years will it takeNelson to earn back his initial investment?