Worldwide, the proportion of babies who are boys is about 0.51 . Let the random variable X represent the number of boys in five children. Find the mean and standard deviation of this random variable.

Answers

Answer 1

Answer:

mean = 2.55

Standard deviation = 1.118

Step-by-step explanation:

Probability of babies who are boys

P = 0.51

Then we have q = 1-p

= 1-0.51

= 0.49

We have n = 5

We calculate the mean as:

np

= 0.51x5

= 2.55

Therefore mean = 2.55

The standard deviation

= √variance

= √npq

= √0.51x5x0.49

=√1.2495

= 1.118


Related Questions

evaluate the expression when n=-4

n^2+5n+7

Answers

Answer:

3

Step-by-step explanation:

When n= -4 we replace in the given formula and evaluate the answer as shown below:

(-4)^2 + 5 (-4) + 7 = 16 - 20 + 7 = 3


You have a plate of 40 cookies. Ten have chocolate chips and 15 have pecans. Of the cookies mentioned in the preceding
sentence, four have both chocolate chips and pecans. You select a cookie at random. What is the probability that your cookie has
chocolate chips or pecans?
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
probability your cookie has chocolate chips or pecans:

Answers

Using Venn probabilities, there is a 0.525 = 52.5% probability that your cookie has chocolate chips or pecans.

What is a Venn probability?

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

For this problem, the events are given as follows:

Event A: Chocolate chips.Event B: Pecans.

From the text, the probabilities are given as follows:

[tex]P(A) = \frac{10}{40}[/tex].[tex]P(B) = \frac{15}{40}[/tex][tex]P(A \cap B) = \frac{4}{40}[/tex]

Hence the "or probability" is given by:

[tex]P(A \cup B) = \frac{10}{40} + \frac{15}{40} - \frac{4}{40} = \frac{21}{40} = 0.525[/tex]

0.525 = 52.5% probability that your cookie has chocolate chips or pecans.

More can be learned about Venn probabilities at https://brainly.com/question/25698611

#SPJ1

Mitzi received some gourmet brownies as a gift. The wrapper said each brownie was 420 calories, and had 113 calories of fat. What percent of the total calories in each brownie comes from fat?

Answers

The percent of the total calories in each brownie that comes from fat is 26.9%

What percent of the total calories in each brownie comes from fat?

We know that the total amount of calories in each brownie is 420 calories, so that number represents our 100%, then we can write the relation:

420 cal = 100%

Now, the fat has 113 calories, this is a percentage X that we want to find, so we can write:

113 cal = X

We have the two relations:

113 cal = X

420 cal = 100%

If we take the quotient we get:

(113 cal/420 cal) = X/100%

Solving for X.

(113 cal/420 cal)*100% = X = 26.9%

So, the percent of the total calories in each brownie that comes from fat is 26.9%.

If you want to learn more about percentages:

https://brainly.com/question/843074

#SPJ1

Maggie and her friends played an online trivia game. Their scores at the end of the game were −1, 3, 0, −2, 1, −3, and 4 points. a. List the scores in order from greatest to least. b. Write an inequality to show the relationship between the largest and the smallest value. c. Write a statement that interprets the inequality you wrote as a statement about the relative position of those numbers on a number line.

Answers

The scores in order from the greatest to the least is 4, 3, 1, 0, -1, -2, -3.

The inequality that shows the relationship between the greatest and least number is 4 > -3.

On the number line, four is greater than -3.

What is the number listed from greatest to least?

Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero. Examples from integers are 0, -1 and 1.

The farther a positive number is from zero on the number line, the greater the positive number. The closer a negative number is to zero on the number line, the greater the negative number.

For example, 10 is greater than 4 because 4 is closer to 0 when compared to 10. -4 is greater than -10 because -4 is closer to 0 than -10 on the number line.

Here are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The sign that would be used to show the relationship between the greatest and the least number is the greater than sign (>)

4 > -3

To learn more about integers, please check: https://brainly.com/question/21493341

#SPJ1

could you explain how to find this?​

Answers

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h. i hoped this helped sorry if it didnt

Amber is saving money to buy a bicycle She saves $60 her
grandfather gave her, and plans to save an additional $5 each
week. How much will Amber save after w weeks?
Total savings
Use a bar diagram to represent the amount
Amber will save after w weeks.
$60
Amber will save 60 + 5w dollars
after w weeks
Money from grandfather
Weekly
savings
Reggie drives 10 miles from the airport to the highway. Once on the highway, he drives at
a speed of 55 miles per hour. What is Reggie's total distance from the airport h hours after
reaching the highway?
1. Complete the bar diagram.
Total distance
55 miles per hour
Distance
traveled to
highway
Hourly distance on highway

Answers

Answer:

Reggie travels a speed of 55 miles an hour

Step-by-step explanation:

which ordered pair is the solution of the system of equations shown?
y= -x + 5
y= 5x-6

Answers

Answer(1.833,3.167)

Step-by-step explanation:

Which is an equation for the line that passes through the points (-3, 13)
and (2,-2)?

Answers

Answer:

y=-3x+4

Step-by-step explanation:

Find the value of x.
m2 = x + 67

Answers

Answer:

x=m2-67

Step-by-step explanation:

Answer:

x=m2-67

is the actual answer I

The sum of two linear functions yields a new linear function. Find the sum of f(x) and g(x) given that f(x) = 3x-7 and g(x) =-10x + 1. Call this new function h(x). Write the equation for h(x) below.

Answers

Answer:

Step-by-step explanation:

in simple language h(x) = f(x)+ g(x)

=f(x) +g(x)

h(x)=(3x-7)+(-10x+1)

h(x)= 3x-10x-7+1

h(x)=-7x-6 is yournew derived function

Francis walked 450 feet.Trey walked 6 yards less than Francis.How many yards did Trey walk

Answers

Answer:

432

Step-by-step explanation:

1 yard=3 feet

6 x 3=18

450 - 18=432

Please:

Please give me brainliest.

What does the transformation f(x)↦f(x)+3 do to the graph of f(x)?

Answers

Answer:

It moves the line up 3 units

Step-by-step explanation:

Please help me and don’t look on the internet

Answers

Question 1

[tex]\left(\frac{-5+2}{2}, \frac{5-5}{2} \right)=\boxed{\left(-\frac{3}{2}, 0 \right)}[/tex]

Question 2

Let the coordinates of the other endpoint be (x,y).

[tex]\left(\frac{x + 4}{2}, \frac{y+8}{2} \right)=( - 6,4) \\ \\ \implies \frac{x + 4}{2}=6 \implies x= - 16\\ \\ \frac{y+8}{2}=4 \implies y=0[/tex]

So, the coordinates of the other endpoint are (-16,0).

Please help I dont understand..​

Answers

Answer:

2. A

3. H

4. D

5. C

6. G

7. E

8. F

Order the orange juice mixtures so that the strongest tasting one is listed first.
Claire mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate.
Han mixes 1 2/3 cups of water with 1/4 cup of orange juice concentrate.

GUYS PLEASE HELP DUE TODAY :( .

Answers

Answer:

Han's mixture, Claire's mixture

Step-by-step explanation:

I figured out the percentage of orange juice for each person's mixture:

For Claire:

2 1/2 + 1/3 = 2 5/6

2 5/6 as a decimal: about 2.8

Now find what percent of Claire's total mixture was orange juice:

100 * 1/3 / 2.8 = about 11.9%

For Han:

1 2/3 + 1/4 = 1 11/12

1 11/12 as a decimal: about 1.9

Now find what percent of Han's total mixture was orange juice:

100 * 1/4 / 1.9 = 13.2%

So, Han's mixture is stronger, since his has the higher percentage of orange juice concentrate

40% of N is 80. Find N

Answers

Answer:

i think N=32

Step-by-step explanation:

Can somebody explain this?

Answers

Answer:

  (xy+5)/(xy+3)

Step-by-step explanation:

Given a ratio of rational expressions, you want the simplified version.

Simplifying

The colon separating the two expressions is one of the ways a ratio is written. In this context, it can be replaced by "divided by" (÷). Of course, the division is carried out in the usual way: multiplying by the inverse of the denominator.

The product is simplified by cancelling common factors. This requires each of the polynomials be factored.

  [tex]\dfrac{x^2y^2-4}{x^2y^2+xy-2}\div\dfrac{x^2y^2+xy-6}{x^2y^2+4xy-5}=\dfrac{x^2y^2-4}{x^2y^2+xy-2}\times\dfrac{x^2y^2+4xy-5}{x^2y^2+xy-6}\\\\=\dfrac{(x^2y^2-4)(x^2y^2+4xy-5)}{(x^2y^2+xy-2)(x^2y^2+xy-6)}=\dfrac{(xy-2)(xy+2)(xy-1)(xy+5)}{(xy-1)(xy+2)(xy-2)(xy+3)}\\\\=\boxed{\dfrac{xy+5}{xy+3}}[/tex]

What is the solution to this equation?
3x - 6 = 6
O A. x = 3
O B. x = 11
O C. x = 2
O D. x = 4
please someone help

Answers

Answer:

x = 4 or D

Step-by-step explanation:

3x - 6 = 6

Solve for x

3x = 12

x = 4

A restaurant mixes homemade barbecue sauce with their smoked pulled pork using a ratio of two cups of sauce for every four pounds of shredded pulled pork. Write two rates to represent this relationship.

Answers

The two rates that can be used to represent this relationship are:

2 cups : 4 pounds, and 1 cup : 2 pounds

What is a ratio?

A ratio is a comparison between two numbers that can be separated with (:) sign or can be represented as a fraction. This comparison deals with the same units.

However,

A rate of a ratio deals with the comparison between different units.

From the parameters given:

The ratio rates occur between the homemade barbecue and smoked pulled pork

For every 2 cups of barbecue sauce, 4 pounds of pulled pork is used.

Therefore, we can conclude that the two rates that can be used to represent this relationship are:

2 cups : 4 pounds, and 1 cup : 2 pounds

Learn more about ratio here:

https://brainly.com/question/2914376

ab and bc length and midpoint

Answers

Is there a picture of the figure?

How are circumference and area the same? How are they different?

Answers

In geometry, the circumference (from Latin circumferences, meaning "carrying around") of a circle is the (linear) distance around it. That is, the circumference would be the length of the circle The area of a circle is pi (approximately 3.14) times the radius of the circle squared.


PLZ HELP ME BRAINLIEST IF CORRECT

Answers

Answer:

Izi. (1,2)

Step-by-step explanation:

Just look at the graph and see where the x and y meets together when the line is being crossed

you rent an apartment that costs $1600 per month during the first year ,but the rent is set to go up 11.5% per year.what would be rent of the apartment during the 10th year of living in the apartment? round to the nearest tenth (if necessary ).​

Answers

Answer:

$4,750.

Step-by-step explanation:

To determine the rental value of the apartment in the tenth year, knowing that it is worth 1,600 during the first year but that it will be adjusted annually to 11.5%, the following calculation must be made:

X = 1,600 x (1 + 0.115) ^ 10

X = 4,751.91

Thus, at ten years, rounded to the nearest tenth, the rental value will be $ 4,750.

The rent of the apartment during the 10th year of living in the apartment is 4,751.9.

Rent of the apartment:

Let x represent the rent  of the apartment

Hence:

x= 1,600(1 + 0.115)^10

x=1,600(1.115)^10

x=4,751.9

Inconclusion the rent of the apartment during the 10th year of living in the apartment is 4,751.9.

Learn more about rent here:https://brainly.com/question/2281972

HALP PLAS NEED HALP PLESAAA

Answers

Answer:

the answer is 32

Step-by-step explanation:

ywwwww

Answer:

the answer is 32..... 32

A 97% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A preliminary sample standard deviation is 1.4. The smallest sample size n that provides the desired accuracy is

Answers

Answer:

The sample size will be "[tex]102.5494 \sim 102[/tex]". A further explanation is given below.

Step-by-step explanation:

Let the sample size will be:

= n

The given values are:

Standard deviation,

= 1.4

ME,

= 0.3

As we know,

⇒ [tex]n=(Z \frac{a}{2}\times \frac{SD}{E})^2[/tex]

On putting the estimated values, we get

⇒    [tex]=(2.17\times \frac{1.4}{0 .3})^2[/tex]

⇒    [tex]=(\frac{3.038}{0.3})^2[/tex]

⇒    [tex]=102.5494 \sim 102[/tex]

HELP ILL GIVE BRAINLIEST AND THANKS
I think my teacher is sleep deprived
I have actually no idea how to do this- none of the answer choices seem to be correct or maybe i'm just... anyways help me!!!

Question: -4pv+ 9= -5
a.3.5
b. -14
c. -45

Answers

Answer:

B. -14

Step-by-step explanation:

sana maka tulong ako sayo

at ano ba ang grade nyo

How do you solve this??

Answers

Answer:

0.51

Step-by-step explanation:

Considering the residents aged 50 or over, there are:

507 high school only2652 some college1958 bachelor's1392 master's

This means that there are a total of 3350 people out of the 6509 that meet the required conditions, and thus the answer is 3350/6509, which is about 0.51.

. Two rectangles have a ratio of similarity of 4/7. If one side of the small rectangle is 12m long, how long is the same side of the larger rectangle?​

Answers

Answer:

For two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the two longer sides should equal the ratio of the two shorter sides.

Step-by-step explanation:

HELP MEEEE (and dont steal its just wrong) i really need help tho.

Answers

Answer: 3) two angles are opposite angles

Step-by-step explanation:

Answer:

Angles opposite to congruent sides are congruent.

Step-by-step explanation:

According to a particular theorem:

1) Sides opposite to equal angles are congruent.

2) Angles opposite to equal sides are congruent.

Here, We have been given that LO ≅ PO

So, The angles opposite to these sides will also be equal.

Such that:

∠MOL ≅ ∠NOP

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Patrick graphed a square with the area of 50 square units on a coordinate plane. one of the verticles of the square is located at (5,10). which could the other three vertice of the square

Answers

Answer:

The other 3 vertices would be (10,5) , (5,0) , and (0,5)

Step-by-step explanation:

Other Questions
Michael drove from point A to point B at 15 milesper hour and immediately returned by the sameroute at 30 miles per hour. What was his averagespeed, in miles per hour, for the entire trip?E. 20F. 22.5G. 24H.25 Forensics:roshni, a forensic scientist, has ruled out several different drugs when testing a substance found in a car. She suspects that the substance is cocsine, what should roshni do next?1-Perform a confirmatory test2-Put the substance in a bag, label it, and send it to a DEA office3-Confer with a colleague about her suspicions.4-Collect a blood sample and see if it also contains the same substance Emmett made sand art bottles to sell at his school's craft fair. He wanted to use 9 different colors of sand. So, he bought 1 pound of each color. Then, he filled as many 6-ounce bottles as he could. How many sand art bottles did Emmett make? (Scientific Notation LC)WILL MARK BRAINLEIST ONLY IF CORECCT! !Rewrite 2,290,000 in scientific notation. 2.29 x 106 2.29 x 104 2.29 x 104 2.29 x 106 What does the word pacing suggest about Holmes in paragraph 1 what is the equation of the line that passes through the points (-8,1) and (7,1) please answer ill give brainliest what sounds good to you?? pizza hut, mcdonalds, taco bell or sonic How might the Great Awakening have contributed to the British colonists decision to revolt against British rule? according to the video on genesis 1 and the early church, which christian held to an allegorical interpretation of genesis 1? Express 55 mph in kilometers per hour. Round to the nearest hundredth. joe to go offers donuts with its simple cup of black coffee that customers serve themselves. in doing so, the company has determined its , which satisfies the needs that dad has as a customer. Read the following excerpt from "Even Heroes Need a Hand" by Luke See. After reading, select the part of the plot that the excerpt most likely represents."Superio stood alone. He stood alone against the crime that threatened the city and the many villains that sought to defeat him. He was the only superhero that protected Metroville. During the day, however, he was just another face in the crowd. His name was Kurt Wallace, and he worked at a finance firm in Saturn Tower."A: climaxB: rising actionC: expositionD: resolution An ion rocket engine produces 1 newton of thrust. What acceleration can it give to a space probe with a mass of 1000kg?. An air-conditioning unit is fastened to a roof that slopes at an angle of = 39 above the horizontal (Figure 1). Its weight is a force F on the air conditioner that is directed vertically downward. In order that the unit not crush the roof tiles, the component of the units weight perpendicular to the roof cannot exceed 435 N. (One newton, or 1 N, is the SI unit of force. It is equal to 0.2248 lb.) (a) What is the maximum allowed weight of the unit? (b) If the fasteners fail, the unit slides L = 1.30 m along the roof before it comes to a halt against a ledge. How much work does the weight force do on the unit during its slide if the unit has the weight calculated in part (a)? The work done by a force F on an object that undergoes a displacement s is W=F s . How would this graph look please help Which is an example of the associative property?5 + 7 = 7 + (5)(18 + 3) = 18 + (3)(8 + 10) + 4 = 8 + (10 + 4)17 + 0 = 17 The part of the zygote that ultimately grows into the embryo, rather than the support structures. Biodiversity is important for the sustainability of ecosystems. However, many of the human actions that are aimed at growing communities are decreasing the biodiversity of these areas, leaving populations and ecosystems vulnerable. As human populations grow, the terrestrial and aquatic ecosystems they use may be transformed by the efforts of human beings and biodiversity losses typically accompany these processes. Which of these actions decrease biodiversity and threaten sustainability? Select ALL that apply.A Regulated hunting seasons artificially decrease hunted populations, often leading to extinctions.B Decreased use of pesticides and fertilizers can allow for increased damage to plant life.C Invasive (non-native) species may outcompete native species for food and habitat.D Habitat destruction reduces or eliminates the food resources and living space for most species.E Pollution from building and commercialization can create health problems in exposed organisms. what is the smallest alkyne What is most likely one of Krakauer's purposes in writing Into the Wild?A. to convince parents to give their children more respectB. to provide a cautionary tale for idealistic young peopleC. to criticize McCandless's choices in lifeD. to show respect for the life McCandless was trying to live