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) .07 .36 .27 .17 .10 .03 1.00

Answers

Answer 1

Answer:

1.96 ;

1.216

Step-by-step explanation:

Given the data :

x : __0 _ 1 _ 2 _ 3 _4 _5 Total

P(x) .07 .36 .27 .17 .10 .03 1.00

. The mean, also called the expected value is defined as ;

E(X) = Σx*p(x)

E(X) = (0*0.07) + (1*0.36) + (2*0.27) + (3*0.17) + (4*0.10) + (5*0.03) = 1.96

The standard deviation, ; √var(x)

Var(X) = Σx²*p(x) - E(X)²

Var(X) = [(0² * 0.07) + (1² * 0.36) + (2² * 0.27) + (3² * 0.17) + (4² * 0.10) + (5² * 0.03)] - 1.96²

Var(X) = 5.32 - 3.8416

Var(X) =14784

SD(X) = √1. 4784 = 1.216


Related Questions

An airplane travels 3690 kilometers against the wind in 5 hours and 4490 kilometer with the wind in the Sam amount of time what is the rate of the plane
still air and what is the rate of the wind?

Answers

Step-by-step explanation:

Against the wind, the wind works against the speed. With the wind, the wind aids the speed.

4(p - w) = 2416

4(p + w) = 2896

p - w = 604

p + w = 724

2p = 1328

p = 664 mph

664 + w = 724

w = 60 mph

244 Children are on a school trip, there
are 19 seats on a coach. How many
coaches are needed?

Answers

Answer:

Totally number of coaches needed is 12

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Classify the polynomial and determine its degree.



The polynomial –2x2 – x + 2 is a
with a degree of
.

Answers

Answer:

Trinomial, 2

Step-by-step explanation:

Answer:

Trinomial, 2

Step-by-step explanation:

Which expression is equivalent to 2x2x2x2x2

Answers

Answer:

2^5

Step-by-step explanation:

2x2x2x2x2

Count the number of 2's, that is the power

The base is 2

2^5

Answer:

2 to the power of 5

Step-by-step explanation:

there are 5 2's being multiplied by each other and that can be shortened to the power of 5.

What is the value of x?
26°

O
x
= [?]

Answers

Answer: x = 154°

Step-by-step explanation:

In this tangents are formed

So the two unknown opposite angles at the curves will be 90° each.

So using angle sum property of a quadilateral in which all angles adds upto 360°

We get x as

90+90+26+x = 360

206+x = 360

x = 360 - 206

x = 154

please click thanks and mark brainliest if you like :)

If an = 2n - 8, then which one is not a term of the sequence? ( an means nth term)
a) 13
b) 16
c) 204
d) 198

Answers

Answer:

13 is answer

Step-by-step explanation:

hope it helps

A boat travels 160 miles per hour. What is the speed in miles per minute?

Answers

We divide both sides by 160. Therefore, the boat will travel about 0.53 miles in 1 minute.
1hour =60min

Speed in mph=160mph

Now

[tex]\\ \sf\longmapsto 160\times \dfrac{1}{60}[/tex]

[tex]\\ \sf\longmapsto \dfrac{160}{60}[/tex]

[tex]\\ \sf\longmapsto 2.6miles/min[/tex]

Find the arc length of the partial circle.

Answers

Answer:

arc length = 4π units

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{90}{360}[/tex]

     = 2π × 8 × [tex]\frac{1}{4}[/tex]

     = 2π × 2

    = 4π units ← exact answer

Mark Brainliest please

Answer : Arc length (L) = 12.56637

Parallel to the line y=-4x-1 and through the origin.

Answers

Answer:

y=-4x

Step-by-step explanation:

Parallel to the line, slope is - 4. The equation of line is y=-4x

Find the slope of the line that contains (-1, 9) and (9, 9).

Answers

Step-by-step explanation:

using the slope formula, we can see that the slope is 0

help ASAP!!!
bensnsnana

Answers

Answer:

c

Step-by-step explanation:

plug in 6 or -6 into x. square it. get 36 -11 =25

Answer:

c/d(most likely d)

Step explanation:

f(x)=x^2-11

For f(x) to be <25 x^2-11 must be x^2-11 < 25

Number just greater than 25 is 26 so x^2-11<25

x^2-11<25

x^2<36

x<√36

Therefore, for x^2-11<25 x must be between +6 & -6

Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)

use the ratio of a 45-45-90 triangle to solve for the variables​

Answers

Answer:

1:1:√ 2

Step-by-step explanation:

Answer:

u = 14

v = 14

Step-by-step explanation:

since both angles around the 90 degree angle are the same, also the sides need to be of equal length. v = u

so, we can use Pythagoras

(14×sqrt(2))² = u² + u² = 2u²

196×2 = 2u²

196 = u²

u = 14 = v

Calculate : y
y = 20
y = 10
y = 15
y = 144​
choose the only correct answer

Answers

Answer : y = 20 ( Use Pytago’ Theorem )

The volume of this cube is 64 cubic feet. What is the value of a?

Answers

96 square units you are welcome
Answer:

a = 4

Step-by-step explanation:

Volume = l • w • h

Basically a number multiplied by itself 3 times that will give 64 (since the shape is a cube and all sides are equivalent)

a = 4

Find the measure of each angle supplementary angles with measures 2X +3 and 3X +2

Answers

supplementary angles = the sum of those angles will equal to 180 degrees

so,

2x + 3 + 3x + 2 = 180

5x + 5 = 180

5x = 175

x = 35

angle 1 -> 2x + 3 = 70 + 3 = 73

angle 2 -> 3x + 2 = 105 + 2 = 107

if you want to check, 107 + 73 = 180

hope it helps :)

the area of a trapezoid is 21 inches, one of its bases is 8 inches and its height is 3 inches. What is the length of the last base?

Answers

Answer:

6 inches

Step-by-step explanation:

A=b1+b2/2*h

Fill in the equation with what we know

21=8+x/2*3

Isolate x

Quick steps: 21/3=7*2=14-8=6

x=6

The supply station donated 115 notebooks to mrs.Michale to give to her class there are 28 students in her class mrs.Michale gives each student the same number of notebooks how many notebooks does she give each student

Answers

Answer:

4.107

Step-by-step explanation:

115/28=4.107

7.
Find the number of real number solutions for the equation. x2 – 18 = 0

A. cannot be determined
B. 0
C. 1
D. 2

Answers

C. 2

The solutions are sqrt(18) and -sqrt(18)

Two lines, C and D. are represented by the equations given below.
Line C: y = x + 10
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(5, 17), because one of the lines passes through this point
(5. 17), because the point lies between the two axes
(4, 14), because the point does not lie
on any axis
(4, 14), because both lines pass through this point

Answers

The answer is D. (4,14) because both lines pass through this point

Explanation: You can insert (4,14) in either equation and so if you insert it into y= x+10 you get 14=4+10 which shows the x combined with 10 equals the y so it’s correct and if you plotted both lines on the graph both lines would travel through this point because it is a solution for both lines.

29 A student has N425. He bought seven ex-
ercise books and he was given N5 as
change. What is the average cost of one
exercise book?
A N60.71 B N50 C N60
DN50.71 E
N75

Answers

The average cost of one exercise book is N60
He was given N5 change which means he spent a total of N420
Therefore,he used N420 to buy 7 books,the average cost of one book= 420/7=60.Thanks

For the parabola y = (x+14)^2 -4, The value of the y coordinate of the vertex is?

Answers

Answer:

-4

Step-by-step explanation:

y = (x+14)^2 -4

The equation is in vertex form

y = a(x-h)^2 + k  where (h,k) is the vertex

The y coordinate of the vertex is k = -4

Answer:

y - coordinate = - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = (x + 14)² - 4 ← is in vertex form

with vertex = (- 14, - 4 )

The y- coordinate of the vertex = - 4

Solve.
d+e= 2
d-e = 4
Use the substitution method.
O There are an infinite number of solutions.
O There is no solution.
О
The solution is
(3. – 1).
(5, 1)
O The solution is

Answers

Step-by-step explanation:

let d+e=2 be equation 1

let d-e=4 be equation 2

lets make d the subject in equa 1

d = 2-e equation 3

put equation 3 in 2

2-e=4

e=2-4

e=-2

put e=-2 in equa 1

d-2=2

d=4

e is -2 and d is 4

please help you can answer it by saying something like option 3 or option 2 that would be ok ​

Answers

Answer:

maby option 5

Step-by-step explanation:

What is the constant of proportionality in the equation y=2.5x

Answers

Answer:

2.5

Step-by-step explanation:

Trigonometry help needed
help would be appreciated ​

Answers

Answer:

Step-by-step explanation:

Question 5

Part A

if Sin(x) = - 3/5  and tan(x) < 0

you are told 3 things

cos(x) must be plus because there are 4 quads. Everybody is plus in quad 1. Sin and tan are <0 so you must be in quad 4 where cos(x) => 0From sin^2(x) + cos^2(x) = 1, we get that cos(x) = 4/5Tan(x) = sin(x) / cos(x)

tan(x) = Sin(x)/cos(x)

tan(x) = -3/5 // 4/5

Tan(x) = -3/4

Part B

cos(2x) = cos^2(x) - sin^2(x)

cos(2x) = (4/5)^2 - (-3/5)^2

cos(2x) = 16/25 - 9/25

cos(2x) = 7/25

Part B

x + y = 90

sin(x +y) = 1

Sin(x - y) =

Sorry can't do this part. I don't know what this is equal to.

find the matrices of ​

Answers

[tex]\huge{\sf \left[{x-2y\atop 6x-2z}\:\:\:{4y-3\atop 2y-z}\right]=\left[{-3\atop 4}\:\:\:{5\atop 3}\right]}[/tex]

Creating equations

[tex]\\ \sf\longmapsto x-2y=-3\dots(1)[/tex]

[tex]\\ \sf\longmapsto 4y-3=5\dots(2)[/tex]

[tex]\\ \sf\longmapsto 6x-2z=4\dots(3)[/tex]

[tex]\\ \sf\longmapsto 2y-z=3\dots(3)[/tex]

From eq(2)

[tex]\\ \sf\longmapsto 4y-3=5[/tex]

[tex]\\ \sf\longmapsto 4y=5+3[/tex]

[tex]\\ \sf\longmapsto 4y=8[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{8}{4}[/tex]

[tex]\\ \bf\longmapsto y=2[/tex]

Put the value in eq(1)

[tex]\\ \sf\longmapsto x-2y=-3[/tex]

[tex]\\ \sf\longmapsto x=-3+2y[/tex]

[tex]\\ \sf\longmapsto x=-3+2(2)[/tex]

[tex]\\ \sf\longmapsto x=-3+4[/tex]

[tex]\\ \bf\longmapsto x=1[/tex]

Put the value in eq(4)

[tex]\\ \sf\longmapsto 2y-z=3[/tex]

[tex]\\ \sf\longmapsto z=2y-3[/tex]

[tex]\\ \sf\longmapsto z=2(2)-3[/tex]

[tex]\\ \sf\longmapsto z=4-3[/tex]

[tex]\\ \bf\longmapsto z=1[/tex]

A set of points is graphed on the scatter plot.



Is y a function of x on the scatter plot? Why or why not?

A
Yes, because the point (6,0) is located on the x-axis.

B
Yes, because the point (0,7) is located on the y-axis.

C
No, because x=−5 corresponds to both y=1 and y=−3.

D
No, because y=−3 corresponds to x=−5, x=−3, and x=1.

Answers

Answer:

C

No, because x=−5 corresponds to both y=1 and y=−3.

Step-by-step explanation:

This is not a function.  The graph has values of x that correspond to multiple values of t

Which is the graph of y = log4(x+3)?

Answers

Answer:

Step-by-step explanation:

Answer:

Option c points at (-2,0) (-1, 0.5) and (1,1)

Step-by-step explanation:

Can anyone help? It’s due in the morning

Answers

21) Angle 4

Angle 5

Angle GVH

Angle GVI

Angle HVI

22) Area of parallelogram = [tex]bh[/tex]

     A = 9 × 4 = [tex]36mi^2[/tex]

23) Area of a triangle = [tex]\frac{1}{2} bh[/tex]

     A =    [tex]\frac{1}{2} (12)(7.3)[/tex]

     A = [tex]43.8m^2[/tex]

24) Distance between each pair of point:

Distance between two points = [tex]\sqrt{(x_{B}-x_{A} )^2+(y_{B}-y_{A} )}[/tex]

Add the values in the formula & solve:

[tex]=\sqrt{(-2-0)^2+(2--4)^2}[/tex]

[tex]=\sqrt{(-2)^2+6^2}[/tex]

[tex]=\sqrt{4+36}[/tex]

[tex]=\sqrt{40}=6.3246[/tex]

25) Midpoint [tex](x_{M},y_{M} )=(\frac{x_{A} -x_{B} } {2} ,\frac{y_{A}+y_{B} }{2} )[/tex]

                                    [tex]=(\frac{10+0}{2},\frac{6+7}{2} )[/tex]

                                    [tex]=(\frac{10}{2} ,\frac{13}{2} )[/tex]

Midpoint of a line segment [tex](x_{M},y_{M} )=(5,6.5)[/tex]

I hope this helps....

Using the equation y = 30x + 45, if you have a budget of 300 dollars for this job, what are the most full hours the electrician can work? Note: You want the largest number of hours without going over your budget.

Answers

Answer:

8 hours

Step-by-step explanation:

y = 30x + 45

Assuming x is the hours and y is the cost

300 = 30x +45

Subtract 45 from each side

300-45 = 30x+45-45

225 = 30x

Divide by 30

225/30 = 30x/30

17/2 = x

8.5 =x

The largest number of hours without going over means round down

8 hours

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