A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 12 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 10 insects will die

Answers

Answer 1

Answer:

The probability that exactly 10 insects will die

                     P( X = 10 ) = 0.06385        

Step-by-step explanation:

Step(i):-

Given a certain insecticide kills 60% of all insects in laboratory experiments

Given proportion  p = 0.60

                           q = 1 - 0.60 = 0.40

Given sample size 'n' = 12

Step(ii):-

Let "X' be the random variable of binomial distribution

                              [tex]P(X=r) = n_{C_{r} } p^{r} q^{n-r}[/tex]

The probability that exactly 10 insects will die

                              [tex]P(X=10) = 12_{C_{10} } (0.60)^{10} (0.40)^{12-10}[/tex]

                           

                          [tex]n_{C_{r} } = \frac{n!}{(n-r)!r!} = \frac{12!}{(12-10)!10!} = 66[/tex]

                          [tex]P(X=10) = 66 X (0.60)^{10} (0.40)^{2} = 0.06385[/tex]

Final answer:-

The probability that exactly 10 insects will die

                     P( X = 10 ) = 0.06385        


Related Questions

Brainliest Question Of The Day:

Chen is making some bread, his brother, sister, little brother ate some bread. they ate 15 bread altogether. there was 7 loafs left. how many bread did Chen made?


Hint: 1 loaf has 12 pieces of bread


Correct answer for brainliest:)

Answers

Answer:

9?

Step-by-step explanation:

They ate 15 bread..

so if 1 loaf = 12 pc of bread,

they ate 1 loaf and 3 peace’s of another loaf.

their was still 7loafs left so he made

9 loafs if their was 7 whole lofs left, becasue they cut them into peace’s of bread?

i need help pls help me

Answers

Answer:

8

Step-by-step explanation:

Howard is picking out some movies to rent, and he has narrowed down his selections to 4 children's movies, 7 comedies, 7 mysteries, and 5 horror films. How many different combinations of 9 movies can he rent if he wants all 4 children's movies

Answers

Answer:

6188

Step-by-step explanation:

Number of children's movies = 4

Number of comedy movies = 7

Number of mystery movies = 7

Number of horror movies = 5

Total number of movies to be rented = 9 out of which 4 are fixed to be children's movies

To find:

Number of different combinations to rent 9 movies out of which 4 are children's movies

Solution:

Number of movies left to be rented = 9 - 4 = 5

Number of movies left out of which these 5 are to be rented = 7 + 7 + 5 = 17

Now, there are a total of 17 movies out of which 5 are to be selected.

Therefore, we can use:

[tex]_nC_r = \dfrac{n! }{r!(n-r)!}[/tex]

where, [tex]n = 17[/tex]

[tex]r = 5[/tex]

[tex]_{17}C_5 = \dfrac{17! }{5!(12)!}\\\Rightarrow \dfrac{17.16.15.14.13}{5.4.3.2.1} = \bold{6188}[/tex]

solve the question below 33

Answers

Answer:

The value of x(perpendicular) is 17.80

Step-by-step explanation:

Given triangle is a right angled triangle as one of the angles is 90°

Also according to the reference angle 54°,

Hypotenuse = H = 22

Perpendicular = P = x

We can use the trigonometric ratio of sine as it involves both known value perpendicular and hypotenuse.

So,

[tex]sin\ 54 = \frac{P}{H}\\sin\ 54 = \frac{x}{22}\\0.8090 = \frac{x}{22}\\x = 0.8090*22\\x = 17.798[/tex]

Rounding off to nearest hundredth

x = 17.80

Hence,

The value of x(perpendicular) is 17.80

Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Irene​'s car had 6.2 gallons in the 15​-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost ​$3.50 per gallon. How much did Irene spend on​ gas? Please answer correctly

Answers

Answer

$21.70

Step-by-step explanation:

An online shopping club has 11,200 members when it charges $7 per month for membership. For each $1 monthly
increase in membership fee, the club loses approximately 400 of its existing members. Write and simplify a function R
to represent the monthly revenue received by the club when x represents the price increase.
Hint: Monthly revenue = # members. monthly fee.

Answers

Answer:

Monthly revenue = R(x) = (11,200 - 400x) * (7 + x)

Step-by-step explanation:

Monthly revenue = Number of members * Monthly fee ......... (1)

Where;

Number of members = 11,200

Monthly fee = $7

For each $1 monthly increase in membership fee, we have

For 1 month, one dollar the decrease = 400 * 1 = 400

For 2 months, 2 dollar increase will lead to decrease of 400* 2 = 800 members

Therefore, for x months

Innrease in membeship fee or price increase = 7 + x

Decrease in the numbers of members = 400x

Substitute the values into equation (1), we have:

Monthly revenue = R(x) = (11,200 - 400x) * (7 + x)


Write this sentence as an equation?

Six less than 4 times a number gives 18

Answers

Answer:

6-4 times x=18

btw x=9

Answer:

4x - 6 =15

Step-by-step explanation:

I will use "x" as our variable to represent the number we are trying to find.  

Let's take the problem piece by piece.

Six less than four times a number.

If we are using x to represent our number, we know that when we do four times that number we are multiplying x times 4, which is the same as writing "4x."

Next we know that we are taking six less than 4x. Six less than means we will be subtracting 6 from our 4x, which is the same as writing 4x - 6.

Finally, we know that six less than 4x (4x - 6) equals 15. Now we have a full equation:

4x - 6 =15

I need number 7 and 8 answered

Answers

The first one is the second option and the second one is the second option

i will mark brainlyest plss helpp
Which table has a constant of proportionality between yyy and xxx of 0.30.30, point, 3?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

xxx yyy

666 222

121212 444

303030 101010


(Choice B)

B

xxx yyy

333 1.81.81, point, 8

777 4.24.24, point, 2

999 5.45.45, point, 4


(Choice C, Checked)

C

xxx yyy

444 1.21.21, point, 2

888 2.42.42, point, 4

131313 3.93.9

Answers

Answer:

The answer is C

Step-by-step explanation:

i also use khan

Answer:

table C

Step-by-step explanation:

each one is multiplied by .30

:)

Andre purchased 1 quart of lemonade
from a concession stand for $1.50.
Which shows the rate for 6 quarts of
lemonade?

Answers

Answer:

7

Step-by-step explanation:

What is the area of this figure? *
15 m
5 m
8 m
8 m

Answers

Answer:

Where is the picture of the figure ?

Answer:

where’s pic

Step-by-step explanation:

?

1
1 point
Write the fraction as an equivalent decimal.
273
100
type your answer...

Answers

Yes xrixtiurzrurzyyjgxrueuRs

Answer:

2.75 is this correct I don't understand the question very much

Find the value of a/b/c if a=1/3, b=1/2, c=1/6

Answers

Answer: The answer is 0.1111111111111

Step-by-step explanation:

2.S.3 In a behavioral study of the fruitfly Drosophila melanogaster, a biologist measured, for individual flies, the total time spent preening during a 6-minute observation period. The following are the preening times (sec) for 20 flies:54 34 24 10 16 52 76 33 31 46 24 18 26 57 32 25 48 22 48 29 19 (a) Determine the mode (s). (b) Calculate the range. (c) Construct a dotplot of the data

Answers

Answer:

Step-by-step explanation:

The raw data given can be properly expressed by a frequency table. The frequency table formed from the data given is attached to this answer.

From the frequency table,

(a) The modes of the data are 24 and 48. Thus, the data is said to be bimodal.

(b) Range = height value - least value

                = 76 - 10

                = 66

    Range = 66

(c) A dot plot is a pictorial graph of the plot of the given data. The plot of the given data is attached to this answer.

Question
-2(8)=
I really need help please! I will pay u back with good things! :)

Answers

Answer:

-2(8)=16

Step-by-step explanation:

-2(8) is equal to -2 times 8/ -2 x 8

So 2 times 8 is 16, but since it's negative 2 it takes the negative sing

need help with box and whiskers plot pls ill give brainliest (answer all 4 questions if can)

Answers

1. 10
2. 25
3. 40
4. 30

The next Collection we will begin working on will be Collection 5, "Decisions That Matter." This Collection begins on page 251 in your textbook. Before you turn to that page, take a moment to consider the title of the Collection. What types of passages might you expect to find in this Collection? What are decisions that matter? Have you made decisions that matter? If so, what are some examples?

Turn to page 251 in your textbook. You will see an image and a quotation. How do the Collection opening image and quotation work together to make a connection? What do they have in common? What message do they send when presented together?

In this discussion board, you should complete two posts:

Original Post
Minimum of two paragraphs (4-6 sentences each) responding to the questions posed above (underlined).
Explain your thinking/reasoning.
Consider adding real life examples.
Reply to a classmate
Minimum of one paragraph (4-6 sentences) in which you elaborate on a classmates ideas, provide relatable examples or real life experience, share your opinion, or respectfully present a differing opinion.
Replies such as, "I agree," will not receive credit.

Answers

Answer:

Hope this helps ^w^

Step-by-step explanation:

Jews  or Jewish people are an ethnoreligious group and Hebrews of historical Israel and Judah. Jewish ethnicity, nationhood, and religion are strongly interrelated, as Judaism is the ethnic religion of the Jewish people, while its observance varies from strict observance to complete nonobservance. This is amazing religion, how everything is in place in a neat way. the worldwide Jewish population reached a peak of 16.7 million, representing around 0.7 percent of the world population at that time, which is a ton. defines itself as a Jewish and democratic state in the Basic Laws, Human Dignity and Liberty in particular, which is based on the Declaration of Independence. Israel's Law of Return grants the right of citizenship to Jews who have expressed their desire to settle in Israel. Despite their  percentage of the world's population, Jews have significantly influenced and contributed to human progress in many fields, both historically and in modern times, including philosophy, ethics, literature, politics, and cinema, medicine, and science and technology, founded Early Christianity and had a profound influence on Islam. Jews have also played a significant role in the development of Western Civilization. If you thought that was crazy watch until you hear the English word "Jew" continues Middle English '. These terms were loaned via the Old French ', which itself. In my opinion, I enjoy learning about different parts of the world. And as myself, I feel like we all should be equal no matter what race are are.

TELL ME IF YOU NEED MORE

slope of 2,11 and 5,2

Answers

Answer:

Step-by-step explanation:

you are probably asking what is the slope of these two points..

P1=(x1,y1) = (2,11)

P2=(x2,y2) =(5,2)

I answer sooooooooooooo many of these.. it's almost sad.. nobody seems to teach these well?????? anyway....

slope m = y2-y1 / x2- x1

m= 2-11 / 5-2

m = -9 / 3

m = -3

:)  that's all to do ...... for now

You will need to set the table and make your bed today. This is not always the case
because you set the table every 3 days and you make your bed every other day. When is
the next time you will have to do both activities on the same day?

Answers

Answer:

after 6 days

Step-by-step explanation:

What is the largest integer n such that (n^2-38) / (n +1) is an integer?

a. 36
b. 38
c. 72
d. 76
e. None of these

Answers

Answer:

a. 36

Step-by-step explanation:

for (n^2-38)/(n+1) to be an integer, n+1 must completely divide, n^2-38.

we check with the options

option a n=36 sutisfies the above condition.

(36^2-38)/36+1 = 1258/37= 34 , which is an integer. Therefore, largest integer would be 36

If A = (1, 3, 5) and B = (1, 2, 3, 4, 5, 6) then A U B

Answers

Answer:

AUB

Step-by-step explanation:

(1,2,3,4,5,6)

this is answer

Find the missing side round to the nearest tenth if needed

Answers

[tex]15^{2}+b^{2}=25^{2}\\225+b^{2}=625\\b^{2}=625-225\\b^{2}=400\\b=20[/tex]

or

[tex]3k - 4k- 5k\\k=5\\[/tex]

You're given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you
construct using these measurements?
A. 0
B. 1
C. 2
D. Infinitely many

Answers

Answer:

B. 1 triangle only!

Step-by-step explanation:

Since the angle and the sides are fixed!

WILL GIVE BRAINLIEST PLS HELP
Chantal is planning to hike with some friends in the mountains. The trail map below shows the actual distance of their route from the beginning of the Blue Trail to the junction with the Red Trail, and from there to the top of Peak 1.
Chantal determined that the length of their route on the map measured 4 1/2 inches. Based on that length, what is the scale on the map?
Blue trail: 2.4 miles, Red trail: 1.6, Green trail: 1.8
A. 1 inch : 1 1/4 miles
B. 1 mile : 1 1/8 inches
C. 1 mile : 8/9 inch
D. 1 inch : 8/9 mile

Answers

Answer:

the answer is C

Step-by-step explanation:

convert 5/4 into a decimal

Answers

Answer:

Step-by-step explanation:

The answer is 1.25

What is the measure of an interior angle of a regular 10-gon?

Answers

Answer:

Step-by-step explanation:

the table shows information about the number of tires needed for a number of cars. complete the table. write the rule of the table
I need this ASPA

Answers

Answer:SAMEEEEEEEEEEE UHHHHHHHHH

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answer:

kjhvg

.

Step-by-step explanation:

l

(8+6) -2 x 2 - 3^2 help

Answers

Answer:

Step-by-step explanation: ans is 1

Answer:

1

Step-by-step explanation:

14-2×2-9

14-4-9

10-9

1

What fraction is shown on the number line?

Answers

the answer should be 7/10!

Answer:

7/10

Step-by-step explanation:

2010
can
Regina had 30 meters of ribbon. She gave 2.7 meters of the ribbon to each
of her four friends and used the rest to tie some presents for her birthday
party. Each present required 75 centimeters of ribbon to tie. Find the
maximum number of presents Regina could tie.

Answers

Answer:

25 presents.

Step-by-step explanation:

First subtract 2.7(4) from 30.

30 - 2.7(4) = 19.2 meters

Now, convert 19.2 into centimeters.

There's 100cm in 1m, so 19.2 meters can be found by doing:

19.2 x 100 = 1920 cm.

Now, do 1920 divided by 75:

1920/75 = 25.6

Since you can't tie 0.6 of a present, you disregard that. So, she can tie 25 presents.

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