Forty of the staff of 85 teachers at a local intermediate school are certified in Cardio-Pulmonary Resuscitation (CPR). In 180 days of school, what would be the expected mean, variance and standard deviation?

Answers

Answer 1

Answer and Step-by-step explanation:

The computation is shown below;

Here we use the binomial distribution

p = 40 ÷ 85 = 0.47

q = 1 -0.47 = 0.53

n = 180

Now  

mean [tex]\mu[/tex]

= np

= 180 × 0.47

= 84.6

The Variance is

= npq

= 180 ×  0.47 × 0.53

= 44.84

And,  Standard deviation

= √npq

= √44.84

= 6.69

We simply applied the above formula so that the correct value could come

And, the same is to be considered  


Related Questions

I need an answer ASAP Thank you!

Answers

Answer: The answer is 25/33

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!

Answers

Bisect means that the angles are split equally.

RTV would be half of RTS

RTV = 1/2(RTS)

16x-6 = 1/2(26x+18)

Simplify:

16x - 6 = 13x +9

Subtract 13x from both sides:

3x - 6 = 9

Add 6 to both sides:

3x = 15

Divide both sides by 3:

x = 5

Now you have x, replace x in the equation for RTV:

RTV = 16x -6 = 16(5) -6 = 80 - 6 = 74

RTV = 74 degrees.

Two eighth-grade classes are selling chocolate bars to raise money for an end-of-year field trip. One class is selling chocolate bars for $3.00 each and has already raised $275.00. The other class is selling chocolate bars for $3.50 each and has already raised $250.00. Which equation can be used to calculate c, the number of additional chocolate bars each class needs to sell, so that the total amount raised is the same for both classes?

Answers

Answer:

Step-by-step explanation:

you add both $275.00 and $250.00 ($525.00) then and $3.00 and $3.50 ($6.50) then divide $525.00 by $6.50 and then you answer would be $88.00

so c = $88.00

Answer:

3.50c + 250.00 = 3.00c + 275.00

Step-by-step explanation:

I need help with how will we find y please someone tell me

Answers

Answer:

as it is a rectangle

[tex]{:}\longrightarrow[/tex][tex]\sf 90+52+y=180[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 142+y=180 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=180-42 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=38°[/tex]

Michael exchange US $1000 for the CROATIAN currency which is called the KUNA the exchange rate was 5.81 Kuna to $1 how many CROATIAN KUNA did Michael get

Answers

USD $1 = 5.81 Kuna
Therefore,
USD $1000 = 5.81 * 1000 Kuna
USD $1000 = 5810 Kuna

Mrs. Delgado said that 21 out of 25 students passed the test. What percent did NOT pass the test?

Answers

Answer:

16% of the students did not pass the test.

Step-by-step explanation:

Since 25 is 1/4 of 100, multiply it by 4 to equal 100.

Now multiply the percentage passed by 4. This equals 84.

84 out of 100 = 84%

So, the rest of the students(the ones who did not pass) is 16% of the class.

What is equivalent expression 1/x3=?

A. (-x)3
B. X 1/3
C. X-3

Answers

Answer:

[tex]C) x^{-3}[/tex]

Step-by-step explanation:

[tex]x^{-3}\\=\frac{1}{x^3}[/tex]


1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?

Answers

Answer:

y=1/4x+5

Step-by-step explanation:

CAN SOMEONE HELP IM SO CUNFUSED

Answers

Answer:

m = 1/3

Step-by-step explanation:

Answer:

Slope can be indentified by looking t how much a point has gone up/down and to the right/left. An example can be a point at 0,0 and a point at 1,1

from 0,0 to 1,1 it goes 1 units up and 1 unit right. Therefore the slope is 1/1 or just 1.

So to find this answer we could graph the points or just find out how  many units it takes from going up/down and right/left to get from (-2, 1) to (7, 4)

From -2 to 7 is 9 units and from 1 to4 is 3 units

The slope is rise/run meaning the distance u moved in height over he distance moved right/left. Therefore the slope is 3/9 which is 1/3

Step-by-step explanation:

can someone please brainlist

Answers

Answer:

yes it is very easy

Step-by-step explanation:

Answer:

Yeah l ready did.

Me and you brainlist friends

Step-by-step explanation:

rearrange 24(x-y)=5x-3 to make y the subject

Answers

Answer:

y = [tex]\frac{19x+3}{24}[/tex]

Step-by-step explanation:

Given

24(x - y) = 5x - 3 ← distribute parenthesis on left side

24x - 24y = 5x - 3 ( subtract 24x from both sides )

- 24y = - 19x - 3 ( multiply through by - 1 to clear the leading negative )

24y = 19x + 3 ( divide both sides by 24 )

y = [tex]\frac{19x+3}{24}[/tex]

Allister, who is 5 feet tall, is standing three feet from a mirror lying on the ground. When he looks into the mirror, he can just see the top of a tree that is 24 feet away from the mirror. Make a sketch of this situation, and use it to calculate the height of the tree

Answers

Answer:

40 feets

Step-by-step explanation:

Given that :

Observer's height = 5 feets

Observer's distance from the mirror = 3 feets

Distance of tree away from the mirror = 24 feets

To obtain the height of tree:

Observer's distance (Od) / tree distance (Td) = Observer's height(Oh) / tree height (Th)

Od / Td = Oh / Th

3 / 24 = 5 / Th

3 * Th = 24 * 5

Th = 120 / 3

Th = 40 feets

Hence, the height of tree is 40 feets

Help please base 20 points

Answers

Answer:

12003612721

Step-by-step explanation:

im pretty sure you multiply it by its self 4 times

Answer:I'm sorry I can't really see what it says but I'm very good at math if you need help with anything else please let me know

Step-by-step explanation: I tried

Number 10.
Toni opened her piggy bank. She found
that she had saved 712 quarters, 633
dimes, 482 nickels and 17,800 pennies.
What is the ratio of quarters to
pennies?

Answers

Answer:

712:17800

Step-by-step explanation:

please help!! lol y=?x+?

Answers

Answer:

y= 4x-9

Step-by-step explanation:

i believe it’s 2 1/4 because the line it’s not passing 2 completely and -9

Mr. Khan and his wife are going to equally share 3 brownies. How many brownies will
they each get?

Answers

Answer:

1 1/2

Step-by-step explanation:

3/2= 1 1/2

Vivek worked 35 hours and earned $385. At this rate, how many hours would it take him to earn $143?
A. 11
B. 13
C. 17
D. 19
HURRY ANSWER IT

Answers

35 divided by 385 is 11. This means Vivek will earn $143 in 11 hours.
Comment if I am wrong.

Answer:

B. 13

Step-by-step explanation:

Time taken to earn $385 = 35 hours

Time taken to earn $1 = [tex] \sf \dfrac{35}{385} [/tex] hours

[tex] \sf = \dfrac{1}{11} \ hours [/tex]

Time taken to earn $143 = [tex] \sf \dfrac{1}{11} \times 143 [/tex] hours

[tex] \sf = 13 \ hours [/tex]

What is the slope of y = -42 - 3?

Answers

I think is -42 the answer

(6.72 (-3.5)

plz help

Answers

Answer:

-23.52

Step-by-step explanation:

Just multiply them man

It is not that hard im just a little lazy <3

whoever answers it right next gets brainliest

Answers

The scale factor would be 5
Because 45/9=5 & 25/5=5

Which of the following sentences could not be used to represent the equation X-5 = -10? D A number subtracted from five is equal to negative ten. A number less five equals negative ten. de Five less than a number is negative ten. ko If a number is decreased by five, the result is negative ten.​

Answers

Answer:

Option A is correct

Step-by-step explanation:

The equation that the first option is talking about would be 5-X=-10

4. Michelle spends $25.49 on
groceries. Round her grocery
bill to the nearest dollar.
Pls helppp

Answers

Answer:

$25

Step-by-step explanation:

If it was $25.59 then we would round up

But it isn't

So the answer is $25

Answer:

$26

Step-by-step explanation:

25.49,

then 9 will turn to plus 1

making 4 turn into 5

ten making 25 turn into 26

15.3614 - 2.0573; hundredths

Answers

13.30. this can literally be done in a calculator in less time than it took you to post this

What is the mDEF? plz help

Answers

Answer:

m∠DEF = 148°

Step-by-step explanation:

The total sum of angles inside a triangle is 180°

m∠FDE + m∠EFD + m∠DEF = 180°

We can also see that because two sides are congruent, their angles are also congruent, so we can solve for x

m∠FDE = m∠EFD

2x + 8 = 3x + 4; subtract 2x from both sides

8 = x + 4; subtract 4 from both sides

x = 4; now we can substitute into equations

m∠FDE = m∠EFD;

2(4) + 8 = 3(4) + 4

8 + 8 = 12 + 4; 16=16; therefore = m∠FDE = m∠EFD = 16

To solve for m∠DEF

m∠FDE + m∠EFD + m∠DEF = 180°

16 + 16 + m∠DEF = 180

m∠DEF = 148°

Could someone please answer b?

Answers

Answer:

b. The total sum of the money was $330

Step-by-step explanation:

#b

∵ A sum of money is divided among John, Paul, and Robert

∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5

→ Multiply the ratio of each share by x

∴ The share of John = 2x

∴ The share of Paul = 4x

∴ The share of Robert = 5x

→ Find their sum

The sum of the money = 2x + 4x + 5x = 11x

∵ The sum of the money is divided equally among them

→ That means dividing the sum by 3 to find the share of every one

∵ The sum of the money = 11x

∴ The share of every one = [tex]\frac{11x}{3}[/tex] = [tex]\frac{11}{3}[/tex]x

The share of John is larger by $50

→ That means the difference between his shares is 50

[tex]\frac{11}{3}[/tex]x - 2x = 50

∴ [tex]\frac{5}{3}[/tex]x = 50

→ Divide both sides by [tex]\frac{5}{3}[/tex]

x = 30

→ Substitute it in the sum of the money to find it

∵ The sum of the money = 11(30)

∴ The sum of the money = $330

The total sum of the money is $330

At the zoo, for every 666 adult camels, there are 555 baby camels. There are a total of 444444 adult and baby camels at the zoo. How many baby camels are at the zoo? baby camels

Answers

Answer:

20

Step-by-step explanation:

15 of the 25 employees at Carlo’s Car Repair wear contact lenses. What percent of the employees wear contact lenses?

Answers

Answer:

60%

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by  100 .

60%Convert the fraction to a decimal, then multiply by  100 .

Is X +3 a factor of 2X squared minus 2X -12

Answers

Answer: No, x+3 is not a factor of 2x^2-2x-12

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

Explanation:

Let p(x) = 2x^2 - 2x - 12

If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).

Compare x+3 = x-(-3) to x-k to find that k = -3.

Plug x = -3 into the function

p(x) = 2x^2 - 2x - 12

p(-3) = 2(-3)^2 - 2(-3) - 12

p(-3) = 12

We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12

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

Let's see what happens when we factor p(x)

2x^2 - 2x - 12

2(x^2 - x - 6)

2(x - 3)(x + 2)

The factors here are 2, x-3 and x+2

Use synthetic division 6. (3x2 – 13x – 10) ÷ (x + 5)

Answers

Answer: 64

Step-by-step explanation:

mrs.cook wants you to send a package to her friend and in spain. it costs 3$ for the packaging and then $0.20 for each ounce if she paid $15.60 how heavy was the package? be sure to define your variable and show your equation

Answers

Answer:

assuming you want the answer in ounces still, its 63 ounces

Step-by-step explanation:

total = $3 + 0.20x

15.60 = 3 + 0.20x

12.60 = 0.20x

63 = x

Answer:

63 ounces

Step-by-step explanation:

0.20x+3= 15.60

         -3     -3    

0.20x= 12.60

0.20     0.20

x= 63

Other Questions
9. Mina is taking a digital design class. She has discovered that she has a lot of artistic skills, but her craft skills are not as good as some of the other people in the class. Which would be the best job for her? 1. film editor 2. 3D modeler 3. project manager 4. audio technician what is the missing length??? help 6th grade math i will give brainliest foolish answers will get reported A fire departments longest ladder is 110 feet long, and the safety regulation states that they can use it for rescues up to 100 feet off the ground. What is the maximum safe angle of elevation for the rescue ladder? A 0.200 H inductor is connected in series with a 88.0 resistor and an ac source. The voltage across the inductor is vL=(12.0V)sin[(487rad/s)t].Required:a. Derive an expression for the voltage vR across the resistor. Express your answer in terms of the variables L, R, VL (amplitude of the voltage across the inductor), , and t .b. What is vR at 2.00 ms? Express your answer with the appropriate units. what is 0.4 repeting as afraction What resource will you find on both the east and west coast of the United States?O FishOilForest what does the wig size say about a colony person GIVING BRAINLIEST FOR WHO ANSWERS FIRST. What is the radius and diameter of the following circle? 13cm True Or False (Explain if False):When shooting a shot trying to "beat the buzzer" (shot clock or game clock at 0 seconds) the ball must either be touching the net, backboard, or rim when the buzzer sounds (the clock says 0 seconds) otherwise the shot will not count. ON BASKETBALL PLZ HELP ME!!!!!! !!QUICK PLEASE!!consider the following table of values: (picture below)write m(x) as a transformation of f(x)a. m(x) = f(x) + 2b. m(x) = f(x + 2)c. f(x) = m(x) - 2d. f(x) = m(x - 2) how can you improve your skill related to physical fitness? Can someone give me a summery of what happened in the middle of the book "harry potter and the sorcerers stone" 5a) According to document 5a how did the colonies apply the ideas of John Locke? Can someone help me on my French I'm in French 3 working on pass composer I have half of each answer right on vhl I'll post the questions in a pic if i can When the particles, such as atoms, molecules, or ions, of a solid phase are arranged in a regular pattern, then the solid is a(n) __________. what is 150mm in meters Create a New Law TemplateSteps:Choose an IdeaName the idea for a new law or policy you selected from the spinning wheel.Explain Your IdeaWhy would this idea make a good law? Use complete sentences to explain.Summarize the DiscussionDiscuss the idea with a trusted adult. Write down some thoughts or details about the idea from your discussion. Use complete sentences.Explain the ProcessFinish filling in the steps your idea would have to go through to become a law at both the federal and state levels of government.Federal State1. Bill Introduction: You write your federal representative or senator about your idea, who introduces the idea as a bill in their chamber of Congress. 1. Bill Introduction: You write your state legislator about your idea, who introduces the idea as a bill in the state legislature.2. 2.3.4. The House Rules Committee sets the rules for debate on the bill in the House. 3. Committees debate and edit the bill.5. 4.6. 5. The state Senate approves the bill.7. 6.8.Think LocalHow is the lawmaking process at a local level different from the state or federal government? Use complete sentences. All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45. Find the discount.