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

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

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.....

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

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:

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.

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

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

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!

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.

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.

HELPPP

What is the surface area of the pyramid shown?

Answers

Answer:

320ft ^2 (squared)

Step-by-step explanation:

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

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

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:

5th grade math. correct answer will be marked brainliest

Answers

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

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

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 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

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

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

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

writing a two column proof (edge)

Answers

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

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:

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

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

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

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

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.

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