On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. x 0 1 2 3 4 5 Total P(x) .02 .31 .25 .19 .13 .10 1.00 (a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.) Mean Standard deviation (b) Describe the shape of this distribution. multiple choice Skewed to the right Skewed to the left Symmetric

Answers

Answer 1

Answer:

Mean = 2.40

Standard deviation = 1.356

Step-by-step explanation:

Given the data:

X :___ 0 __1 ___ 2 ___ 3 __ 4 __ 5 __Total

P(x)_0.02_0.31_0.25_0.19_0.13 _0.10_ 1.00

The mean [E(X)]

Σx*p(x)

(0*0.02)+(1*0.31)+(2*0.25)+(3*0.19)+(4*0.13)+(5*0.10) = 2.4

The standard deviation :

Std(x) = sqrt[VAR(x)]

Var(x) = ((0^2 * 0.02)+(1^2 * 0.31)+(2^2 * 0.25)+(3^2 * 0.19)+(4^2 * 0.13)+(5^2 * 0.10)) - 2.4^2

Var(X) = 7.6 - 5.76 = 1.84

Std(X) = sqrt(1.84) = 1.356 (3 decimal places)


Related Questions

which statement is most likely true about the place modeled I the diagrams? ​

Answers

Is this the question or what

Answer:

The answer is below. I hope this is the answer your looking for.

Step-by-step explanation:

Please help me with this
−3+5+6g=11−3g
-Aster

Answers

Answer:

g=1

Step-by-step explanation:

6g+3g=-3g+9+3g, add 3g to both sides and you get closer to the answer

Answer:

g=1

Step-by-step explanation:

solved and got the same answer

A rectangular cornfield has a length of 7 kilometers and an area of 63 square kilometers.
What is the width of the cornfield?
What will be the area if the length and width are doubled?

Answers

Answer:

The width is 9

Step-by-step explanation

Area formula is Length time width

9x7=63

If they are doubled, 18x14=252

Answer:

9 is the width of the cornfield. the area if both L and W doubled would be 252

Step-by-step explanation:

all you gotta do is divide 63 by 7 and you will get the width, 9.

formula: A/L=W

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

the area would be 252 if doubled both length and width because its multiplying 2 by 7 and 9, equaling to 14 and 18, which you multiply that together.

5th grade math. correct answer will be marked brainliest

Answers

9 is what you put in the first box and 1 in the other

Mitchell went apple picking with the students in his art club. The line plot below shows the number of apples each student collected. Each X represents one student. Which statement about the data is true?

A

Most of the students collected 12 apples.


B

The median number of apples collected was 11.


C

The mean number of apples collected was 11.33.


D

The interquartile range of the number of apples collected was 2.5.

Answers

Answer:

A. Most of the students collected 12 apples.

Step-by-step explanation:

The line plotted on the graph is demonstrating the 12 apples picked from the club. The students are on the y-axis since they are independent and apples are placed on the x axis. The line is intersecting the points on x-axis. There is average collection of 12 apples by each student.

Sara and Atil ate the same number of cookies for lunch. However, Sara ate half of all

the cookies that her mom gave her, and Atil ate one-third of all the cookies that his

mom gave him. If til's mom gave him 2 more cookies than Sara's mom gave to Sara,

how many cookies did each of the kids eat?

Answers

Answer:

Sarah ate 2, atil ate 2

Step-by-step explanation:

The total number of cookie Sara got = y

Atill got 2 more than Sara so his total cookies is = 2+y

Sarah ate half if hers = y/2

Atil ate 1/3 of his = 2+y/3

We have

Y/2 = 2+y/3

Then we cross multiply

3y = 2(2+y)

3y = 4 + 2y

3y - 2y = 4

Y = 4

Since y = 4,

Sara ate 4/2 cookies = 2

Then atil ate 2+4/3 = 6/3 = 2 cookies

HELPPP

What is the surface area of the pyramid shown?

Answers

Answer:

320ft ^2 (squared)

Step-by-step explanation:

writing a two column proof (edge)

Answers

It is d Ik Bc Ik don’t ask why just know it’s d

A tumor is injected with 0.52 grams of Iodine-125. After 1 day, the amount of Iodine-125 has decreased by 1.15%.
Write an exponential decay model with A(t) representing the amount of Iodine-125 remaining in the tumor after t days. Enclose arguments of the function in parentheses and include a multiplication sign between terms. For example, c*ln(t).
Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.

Answers

Answer:

The equation is [tex]A(t) = 0.52*(0.9885)^{(t)}[/tex].

0.4713 grams would remain in the tumor after 8.5 days.

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance that decays, after t days, is given by:

[tex]A(t) = A(0)*(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A tumor is injected with 0.52 grams of Iodine-125.

This means that [tex]A(0) = 0.52[/tex]

After 1 day, the amount of Iodine-125 has decreased by 1.15%.

This means that [tex]r = 0.0115[/tex]

So

[tex]A(t) = A(0)*(1-r)^t[/tex]

[tex]A(t) = 0.52*(1-0.0115)^t[/tex]

[tex]A(t) = 0.52*(0.9885)^t[/tex]

Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.

This is A(8.5).

[tex]A(t) = 0.52*(0.9885)^t[/tex]

[tex]A(8.5) = 0.52*(0.9885)^{8.5} = 0.4713[/tex]

0.4713 grams would remain in the tumor after 8.5 days.

please help me with all i will give 40 extra points if you answer all of the question for me and brainliest plus 5 stars if the answer you put is absurd i will repo you thanks

Answers

Answer:

This one ?

Step-by-step explanation:

Can someone help me pls

Answers

Answer:

AB is not a tangent

Step-by-step explanation:

yOA^2=OB^2+AB

AB y a tangent

19^2=361,15^2=225, 8^2+64=289

So here the tangent isn't a tangent.

Hope it helps.....

does the graph represent a function

Answers

Answer:

no this is not a function

Step-by-step explanation:

because if you do the line test it touches both of the lines its kinda hard to explain but yeah

Solve. Write or draw to explain. Amy has 12 stickers. Jen has 9 stickers. They place 7 stickers on each page of a book. How many pages are in the book? Math Spot thpicks​

Answers

Answer:

There's 3 pages in the book

Step-by-step explanation:

You add both of the amounts of stickers (12+9=21), then you divide by the amount on each page (21÷7=3)

Hope this helped!

If f(x)=3-x^2,find f(-2)

Answers

Answer:-1

Step-by-step explanation:f(x)=3-x2

This is also...

f(x)=3+[(-1)(x2)]

We will execute the exponential. Then, we will multiply the result by the coefficient of -1.

f(-2)=3-(-2)2

f(-2)=3-(+4)

f(-2)=3-4

f(-2)=-1

Find the value 0.5 x 0.5 x 0.5=

Answers

Answer:

0.125

Step-by-step explanation:

0.5 x 0.5 x 0.5 = 0.125

9)
The delivery van uses 33 litres of diesel to travel 264 miles.
How far would the van travel using 40 litres of diesel?​

Answers

Answer:

find how much the truck travels in,a litre

The 8 in 429.86 has ___________ the value of the 8 in 321.58

Answers

Answer:

more than

Step-by-step explanation:

The 8 in 429.86 is nearest because is 80/100 while the 8 in 321.58 is  8/100

Answer right and you get brainliest

What is the area

Answers

I believe 150 in
Area of triangle= 1/2 b x h
12 x 25=300/2 =150

The cost of one pen when pens are priced at 5 for p dollars

I really need help on this

Answers

5 dollar for one pen

Answer:

$1

Step-by-step explanation:

If 5 pens = $p, then 1 pen = $p/5.

But because 5 pens = $p, it would be the same thing as 5 = p because you just take off the labels.

So p = 5 and one pen would be:

$p/5 = 1

5/5 = 1

1 = 1

Please help me with this question if you can

Answers

Answer:

exterior angle = the sum of two remote interior angles

14x + 1 = 89 + 5x - 7

=> 9x = 81

=> x = 9

substitute x = 9 into angle H (5x - 7)

=> 5(9) - 7 = 45 - 7 = 38

Use the formula speed distance/time to calculate each speed A train travels 120miles in 2hours speed= Mph

Answers

Answer:

60

Step-by-step explanation:

120 miles divided by 2 hours equals 60 mph

PLEASE HELP ME PLEASE!

Answers

Answer:

-4 and d

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

Please give brainliest, I really want to rank up, thank you!

Answer:

x = d

x = -4

Step-by-step explanation:

not sure i tried

Complete the​ table, for the following​ investments, which shows the performance​ (interest and​ balance) over a​ 5-year period.
Suzanne deposits ​$4000 in an account that earns simple interest at an annual rate of 2​%. Derek deposits ​$4000 in an account that earns compound interest at an annual rate of 2​% and is compounded annually.​

Answers

Answer:

After 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in his account.

Step-by-step explanation:

Since Suzanne deposits $ 4000 in an account that earns simple interest at an annual rate of 2%, and Derek deposits $ 4000 in an account that earns compound interest at an annual rate of 2% and is compounded annually., Both for a period of 5 years, to determine how much money each one will have in their account after 5 years, the following calculation must be made:

Suzanne:

((4,000 x 0.02) x 5) + 4,000 = X

(80 x 5) + 4,000 = X

400 + 4,000 = X

4,400 = X

Derek:

4,000 x (1 + 0.02 / 1) ^ 5x1 = X

4,000 x 1.02 ^ 5 = X

4,416.32 = X

Thus, after 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in her account.

what are the real solutions to the equation 5x2 + 29x + 20 = 0?

Answers

Answer:Solutions are: x = -5, x = -4/5.

Step-by-step explanation:

Answer: -30/29

Step-by-step explanation: Let's solve your equation step-by-step.

(5)(2)+29x+20=0

Step 1: Simplify both sides of the equation.

(5)(2)+29x+20=0

10+29x+20=0

(29x)+(10+20)=0(Combine Like Terms)

29x+30=0

29x+30=0

Step 2: Subtract 30 from both sides.

29x+30−30=0−30

29x=−30

Step 3: Divide both sides by 29.

29x/29=-30/29

answer please ill give brainlist and ten points

Answers

Answer:

The answer is 32.

Step-by-step explanation:

7 * A =

7 * 4 = 28

b^2 =

6^2 = 36

28 + 36 ÷ 9 = 32

So, the answer is 32.

Hope this helps! :)

WILL MARK BRAINLIST!!
simplify: 3/4 × 2x/5​

Answers

Answer:

(3/10)x or if you didn’t undertsand that

[tex]\frac{3}{10}x\\[/tex]

Step-by-step explanation:

So multiplynormally, if theres an x in the numerator or denominator , it doesn’t matter since the variable is going to end up in the middle. Multiply it normally, simplify and then you would have (3/10)x

i need help with this!

Answers

Answer:

the square root of 23 is 4.8 or if you need the longer one it's 4.79583152331

Answer:

z=529

Step-by-step explanation:

Let's solve your equation step-by-step.

√z=23

Solve Square Root.

√z=23

z=232(Square both sides)

z=529

Check answers. (Plug them in to make sure they work.)

z=529(Works in original equation)

The area of the shape below is
84 square centimeters.
a
10 cm
6 cm
12 cm
What is the length of a?

Answers

Answer:

Its D. 3cm

____________

Answer:

D=3

Step-by-step explanation:

Split this figure into 2 parts. Now you have 2 rectangles. One with sides 6 and 12. Other with sides (10 - 6) =4, and a.

Area of one rectangle is 12 × 6 = 72

Area of 2nd rectangle is 4 × a = 4a.

Since we know the total area of figure is 84

that means

72 + 4a = 84

4a = 84 - 72

4a = 12

a = 12 ÷ 4 = 3

a=3

Is 7 a factor of 18y + 27z?

Answers

Answer:

no

Step-by-step explanation:

Answer:

No, it can't be factored

Step-by-step explanation:

pls answer fast this is my last assignments is giving 30 points and make the brainiest

Answers

Answer:

obama your mama she looks like joe mama

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