Answer:
Yes the table shows a probability distribution
The mean is [tex]E(X) = 1.636 [/tex]
The standard deviation is [tex]\sigma = 0.845 [/tex]
Step-by-step explanation:
From the question we are told that
The data given is
x 0 1 2 3
P(x) 0.087 0.344 0.415 0.154
Generally we can evaluate [tex]P(x) * x[/tex] as
[tex]P(x) * x[/tex] 0 (1 * 0.344 ) (2 * 0.415) (3 * 0.154 )
=> [tex]P(x) * x[/tex] 0 0.344 0.830 0.462
Generally we can evaluate [tex]P(x) * x^2 [/tex] as
[tex]P(x) * x^2 [/tex] 0 [tex ](1^2 * 0.344 )[/tex] [tex ](2^2 * 0.415)[/tex] [tex ](3^2 * 0.154 )[/tex]
=> [tex]P(x) * x^2 [/tex] 0 [tex] 0.344 [/tex] [tex ]1.66 [/tex] [tex]1.386[/tex]
Generally the mean is mathematically represented as
[tex]E(X) = \sum [x* P(x)][/tex]
[tex]E(X) = 0 + 0.344+ 0.830+0.462 [/tex]
[tex]E(X) = 1.636 [/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{V(X)}[/tex]
Here [tex]V(X)[/tex] is the variance which is mathematically represented as
[tex]V(X) = [E(X^2) ]- [E(X)]^2[/tex]
Here
[tex]E(X^2) = \sum [x^2 * P(x)][/tex]
[tex]E(X) =0 +0.344+1.66+1.386 [/tex]
[tex]E(X) = 3.3900 [/tex]
So
[tex]V(X) = 3.3900 - [1.636]^2[/tex]
[tex]V(X) = 3.3900 - 2.6764[/tex]
[tex]V(X) = 0.7136[/tex]
So
[tex]\sigma = \sqrt{0.7136}[/tex]
[tex]\sigma = 0.845 [/tex]
-2 is the _____________ of 2
Answer:
Opposite?
Step-by-step explanation:
How many boys are there in a group of 27 students if there are four-fifths as many girls as there are boys?
Answer:
15 boys
Step-by-step explanation:
There are 27 students. The number of girls is only 4/5 of the number of boys. I started by splitting the class. 14 boys and 13 girls doesn't work, so I changed it to 12 and 15. If it was 12 girls and 15 boys, the girls would have 4/5 of the boys, so it must be 12 girls and 15 boys.
Use f(x) = 1
2
x and f -1(x) = 2x to solve the problems.
f(2) =
f−1(1) =
f−1(f(2)) =
Answer: f-1x(fx2) answer = -f
f(2)= 2 answer 2f
f-1x1 answer f-1
4р + Зp - 27 +р*
help
Answer:
The Simplified equation is 8p - 27
Step-by-step explanation:
1st we can combine like terms which are 4p, 3p , and p
together we get 8p all we haev left is -27 since we can combine it the answer is 8p - 27
High Hopes^^
Barry-
what is 18 X 19 i cants figure it out
Answer:
342
Step-by-step explanation:
Answer:
342
Step-by-step explanation:
If you were asking what 18 times 19 was thats the answer.
Write an expression equivalent to 5x−2(x+4), in simplest form
Answer:
3x-8
Step-by-step explanation:
I searched the answer on a expression calculator. I hope this helps you
Answer:
3x-8
Have A Good Day!!!!
:)
EASY 10 POINTS QUESTION 6 PLEASEEEE HELP
Answer:
x = -2
Step-by-step explanation:
identify the range of the function shown in the graph
Answer:
i think its D. i dont think im right. hope this helps:) pls add me as brainliest
Step-by-step explanation:
If a slice of pizza cost 1.50 and you paid 10.50 how many slices do you get
Answer:
7 slices.
Step-by-step explanation:
This is an easy division problem. If you remove the decimal places, and use long division accordingly, the answer would be 7 slices.
Ccffdndmsbsmsvsnsbsdndn
Answer:
what is this tell me it is for asking ansee
Order the decimals from least to greatest.
0.0453, 0.4753, 0.4792, 0.1082, 0.3047
Plz help quick! :)))))
Answer:
a = 60
60°, 60°, 120°, and 120°
Step-by-step explanation:
So we know that the sum of the angle measures of the quadrilateral is 360° and that the four angle measures are a, 2a, a, and 2a. This means that the sum of a, 2a, a, and 2a should equal 360.
a + 2a + a + 2a = 360
Combine like terms.
6a = 360
Divide both sides by 6.
a = 60
So the value of a would be 60.
Now to find the angle measures from least to greatest, we would have to find the values of a, 2a, a, and 2a.
a = 60
2a = 120
a = 60
2a = 120
So the angle measures from least to greatest is 60°, 60°, 120°, and 120°.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
a=60 degrees
Step-by-step explanation:
Total angle measurements=360 so
2a+2a+a+a=360
2(60)+2(60)=240
240+60+60=360
----------------------------
So a=60
3. Simplify:
(x-2/3+y-1/2)6
Answer:
Hello
Step-by-step explanation:
[tex](x - \frac{2}{3} + y - \frac{1}{2} ) \times 6 = 6 \times x - \frac{2}{3} \times 6 + 6 \times y - \frac{1}{2} \times 6 = 6x - 4 + 6y - 3 = 6x - ( - 7) = 6x + 7[/tex]
Use calculator to find the values of the following,correct to 3decimal places:
1. Cot 61,4
No such thing as cot (61,4). I think you meant to say cot (61.4°). See the difference?
So, cot (61.4°) is approximately -0.139844.
Rounded to 3 decimal places we get -0.140.
Find the volume of a cube if each side is 3.3 inches long. Do not round your answer.
35.937 inches cubed
To find volume: length x width x height
If the answer is right please consider marking branliest
Multiply 4 2/7⋅2 1/5
Answer: 9.4285
Step-by-step explanation: just used a calc
Answer: 9 3/7
4 2/7 ⋅ 2 1/5 = 9 3/7
Evaluate and simplify the
expression when a=2 and b=4.
4a + 2b2 - 2(a – 3b) = [?]
Answer:
92
Step-by-step explanation:
let's start off by plugging 2 for every a in the equation and 4 for every b.
4a+2b^2-2(a-3b)=?
4(2)+2(4)^2-2(2-3(4))=?
8+8^2-2(2-12)=?
8+64-2(-10)=?
8+64+20=?
?=92
Hello there!:)
60is the answer!
Correct for Acellus! I know because I had it and it was correct!
4a+2b²-2(a-3b)
4a+2b^2-2a+6b
4a-2a+2b^2+6b
2a+2b^a+6b
2(2)+2(4)2+6(4)
4+32+24
60
Hope this helps!! :)
In the figure, PQ is parallel to RS. The length of RP is 5 cm; the length of PT is 30 cm; the length of QT is 60 cm. what is the length of SQ?
A. 10 cm
B. 2 cm
C. 6 cm
D. 20 cm
thank you!
Answer:
10 cm
Step-by-step explanation:
because RT = 35 and RS = 75 so ST = 70
The length of SQ is 10 cm.
Option A is the correct answer.
We have,
Two similar triangles.
ΔTPQ and ΔTRS
So,
TR/TP = TS/TQ
TR = (TP +PR)
TS = (TQ + QS)
Substituting.
TR/TP = TS/TQ
(TP + PR)/TP = (TQ + QS)/TQ
(30 + 5) / 30 = (60 + QS) / 60
35/30 = (60 + QS) / 60
7/6 = (60 + QS) / 60
7 = (60 + QS) / 10
70 = 60 + QS
QS = 70 - 60
QS = 10
Thus,
The length of SQ is 10.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ1
50 POINTS
Help me plzz i need help with this it is due tomorrow
Answer:
5 cups
Step-by-step explanation:
hi! to find the sum of the soup mix, we have to add all the fractions together.
7/4 + 1/2 + 5/3 + 1/3 +1/4 + 1/2
we have to find a common denominator for each, which is the LCM of the denominators. this would be 12. let's change the fractions so we can add them up.
21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12
add the numerators and keep the denominators the same.
(21+6+20+4+3+6)/12
60/12
this simplifies to 5.
the total amount of soup mix is 5 cups.
Answer:
5 cups of soup mix
Step-by-step explanation:
Make all the denominators equal. The lowest common denominator is 12 so multiple the denominators with 4 by 3, 2 by 6, and 3 by 4.
[tex]\frac{7}{4} *3=\frac{21}{12}[/tex]
[tex]\frac{1}{2} *6=\frac{6}{12}[/tex]
[tex]\frac{5}{3} *4=\frac{20}{12}[/tex]
[tex]\frac{1}{3} *4=\frac{4}{12}[/tex]
[tex]\frac{1}{4} *3=\frac{3}{12}[/tex]
[tex]\frac{1}{2} *6=\frac{6}{12}[/tex]
Now that all the fractions have the same denominator you can add them all together.
[tex]\frac{21}{12} +\frac{6}{12} +\frac{20}{12} +\frac{4}{12} +\frac{3}{12} +\frac{6}{12}=\frac{60}{12}[/tex]
Then simplify the fraction to find out how many total cups of soup mix you have.
[tex]\frac{60}{12} =5[/tex]
5 cups of soup mix
7. The map shows the location between town A and town B. On the map, 1 inch represents 20 miles. The actual distance between town A and town B is 70 miles. How far apart, in inches, are town A and town B on the map?
find y when x=7 if y=3 when x=2
Please help
whats the property for x ⋅ 4y = 4x ⋅ y
If a person run 1.3 miles in 10 minutes, how far can he run in 2.5 hours?
Answer:
23.4m
Step-by-step explanation:
1 hour = 60 min
2.5 hours = 180 min
180 ÷ 10 =18
18 × 1.3 = 23.4
What is the square root of 30 to two decimal places
Answer:
30.0
Step-by-step explanation:
I need to figure this out
Answer:
plug in the missing numbers and you have the answers
Step-by-step explanation:
6×5=232+4×3=4427×3-(16+3×5)=507×5÷3+2=13.62×7-4×3=2Given A(-1,4), B(2,-5), and C(3, 4), which coordinate pair will make AB perpendicular to CD ?
Answer:
The coordinate pair of the point D that will make AB perpendicular to CD is the D(6, 3)
Step-by-step explanation:
The slope of the given line AB can be presented as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m =\dfrac{-5-4}{2-(-1)} = \dfrac{-9}{3} =-3[/tex]
The slope of a perpendicular line to a given line is equal to the negative reciprocal of the slope of the given line
Therefore, the slope of the perpendicular to a line that has a slope of m is -1/m
The slope of the perpendicular to the line AB is therefore [tex]-\dfrac{1}{3}[/tex]
From which we get the equation of the perpendicular to the line AB given as follows;
y - 4 = -1/3 × (x - 3)
y - 4 = -x/3 + 1
y = -x/3 + 1 + 4
y = -x/3 + 5
When x = 6, y = -6/3 + 5 = 3
Therefore, the coordinate pair of the point D that will make AB perpendicular to CD is the D(6, 3).
Using the slope concept, it is found that the coordinate pair is:
[tex]D\left(x, \frac{x}{3}+9\right)[/tex]
The slope of a coordinate pair [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the change in y divided by the change in x, that is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
If two segments are perpendicular, the multiplication of their slopes is -1.
For segment AB, the slope is:
[tex]m = \frac{-5 - 4}{2 - (-1)} = -\frac{9}{3} = -3[/tex]
At segment CD, we want that:
[tex]-3m = -1[/tex]
[tex]m = \frac{1}{3}[/tex]
Considering D(x,y), we have that:
[tex]\frac{y - 4}{x - 3} = \frac{1}{3}[/tex]
Writing y as a function of x:
[tex]x - 3 = 3(y - 4)[/tex]
[tex]3y - 12 = x - 3[/tex]
[tex]3y = x + 9[/tex]
[tex]y = \frac{x}{3} + 9[/tex]
Thus, the coordinate pair is:
[tex]D\left(x, \frac{x}{3}+9\right)[/tex]
A similar problem is given at https://brainly.com/question/24144915
in our solar system, 6 of the 8 planets have moons. what percentage of the planets have moons?
Answer:
75%
Step-by-step explanation:
= 6/8 X 100
= 3/4 X 100
= 3 X 25
= 75%
A parent purchased a dictionary for $13.50 and a pack of printer paper for $4.50. The sales tax rate was 4%. What was the total bill, including the sales tax?
Answer:
C $18.72
Step-by-step explanation:
1. $13.50+$4.50= $18.00
2. $18.00* 4%=$0.72 sale tax
3. $18.00+$0.72= $18.72 your answer
Answer:
its c!
Step-by-step explanation:
$18.72
Pls help me fast! Thank you!
Answer:
-2.5
Step-by-step explanation:
Slope is y over x, so in this case -15/6. Do -15/6 to get -2.6
Answer:
Step-by-step explanation:
HELP ME ASAP ITS DUE TODAY
Step-by-step explanation:
2+8=10
-2-6=8
-4+7=2
6-9=-3
-5-5=-10
7-7=0
Part b.)
Yes. 8° with a rise of negative 7 would look like this 8+-7= 1.
I'm not familiar with the iniger game but here's my best take on the questions
1) no because a positive plus a positive is positive
2) yes, positive plus negative can be negative if the negative is bigger than the positive ex.(5-15=-10
3) yes, negative plus negative is negative
sorry if this took too long but tried my best to hurry
OKOKOKOKOKOKOKOK
When the table says that there has been a RISE, that means that you should ADD. When the table says there has been a FALL, that means you should SUBTRACT.
The second row and the second column is saying a RISE, meaning that you should ADD 8 and 2. 8 + 2 = 10. So the answer for that one would be 10 degrees celcius (third column, second row.) The numbers in bold are your equation for the second row and fourth column.
Here are the rest: AT MEANS AFTERNOON TEMPERATURE :)
3rd row: AT = -8 [degrees celcius] EQUATION: -2 - 6 = -8
4th row: AT = 3 [degrees celcius] EQUATION: -4 + 7 = 3
5th row: AT = -3 [degrees celcius] EQUATION: 6 - 9 = -3
6th row: AT = -10 [degrees celcius] EQUATION: -5 - 5 = -10
7th row: AT = 0 [degrees celcius] EQUATION: 7 - 7 = 0
Woohoo! We're done with that part now.
(b) So, as I said before, a RISE means you must ADD. If you have a rise in -7 degrees celcius, how would you write that mathematically? You would write it like this: + ( - 7 ). You are ADDING NEGATIVE SEVEN. I know it sounds weird, but it is what it is. NOW. Adding negative 7 IS THE EQUIVALENT of saying subtract seven. Here's an example:
10 + ( - 7 ) = 3 (this is true)
10 - 7 = 3 (this is also true)
Therefore, for b you would say that you agree because +(-7) is the equivalent of say 'minus 7'.
Hopefully, you can use what I explained to help you with number 2. If you need more help you can just comment on this post and I'll help you. :))
