Answer:
The mean of the random variable is 0.
The variance of the random variable is [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
We are given the following probability distribution:
[tex]P(X = -2) = \frac{1}{8}[/tex]
[tex]P(X = -1) = \frac{2}{8}[/tex]
[tex]P(X = 0) = \frac{2}{8}[/tex]
[tex]P(X = 1) = \frac{2}{8}[/tex]
[tex]P(X = 2) = \frac{1}{8}[/tex]
Mean:
Sum of each value multiplied by its probabilities. So
[tex]E(X) = -2\frac{1}{8} -1\frac{2}{8} + 0\frac{2}{8} + 1\frac{2}{8} + 2\frac{1}{8} = \frac{-2 -1 0 + 1 + 2}{8} = \frac{0}{8} = 0[/tex]
The mean of the random variable is 0.
Variance:
Sum of the difference squared between each value and the mean, multiplied by its probabilities. So
[tex]V(X) = \frac{1}{8}(-2-0)^2 +\frac{2}{8}(-1-0)^2 + \frac{2}{8}(0-0)^2 + \frac{2}{8}(1-0)^2 + \frac{1}{8}(2-0)^2 = \frac{4 + 2 + 0 + 2 + 4} = \frac{12}{8} = \frac{3}{2}[/tex]
The variance of the random variable is [tex]\frac{3}{2}[/tex]
A tree is 8 feet and 11 inches tall.
How tall is the tree in meters?
Round to 2 decimal places if necessary.
Round to 2 decimals if necessary.
Answer:
2.72 meters
Hope that this helps!
a stick is x meters long. a string is 4 times as long as the stick.
Express the length of the string in terms of x
Answer:
Step-by-step explanation:
Length of stick = x meters
Length of string = 4 * length of stick
= 4 * x
= 4x
Answer:
4x
Step-by-step explanation:
Since x is the length of the stick and the string is 4 times as long as the stick, the length with be 4 times x or 4x.
If post are space 5 feet apart and how many posts are needed for 60 feet of straight line fence
Answer:
12 posts are needed
Step-by-step explanation:
60 divided by 5 is 12
Find the equation for the line that passes through the points ( 7 , 2 ) and ( 10 , − 6 ) . Give your answer in slope intercept form
Answer:
y = [tex]\frac{-8}{3}[/tex]x + [tex]\frac{62}{3}[/tex]
Step-by-step explanation:
Use slope formula.
then substitute slope for m in y = mx + b
pick a set of coordinates and substitute them in for x and y.
Solve for b
Answer:
[tex]y=-\frac{8}{3}x+\frac{62}{3}[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the points (7,2) and (10,-6)
[tex]m=\frac{2-(-6)}{7-10}\\m=\frac{2+6}{7-10}\\m=\frac{8}{-3}[/tex]
Therefore, the slope of the line is [tex]-\frac{8}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{8}{3}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{8}{3}x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=-\frac{8}{3}(7)+b\\2=-\frac{56}{3}+b[/tex]
Add [tex]\frac{56}{3}[/tex] to both sides to isolate b
[tex]2+\frac{56}{3}=-\frac{56}{3}+b+\frac{56}{3}\\\frac{62}{3}=b[/tex]
Therefore, the y-intercept is [tex]\frac{62}{3}[/tex]. Plug this back into [tex]y=-\frac{8}{3}x+b[/tex]:
[tex]y=-\frac{8}{3}x+\frac{62}{3}[/tex]
I hope this helps!
Can someone help me with this
9514 1404 393
Answer:
314 square inches
Step-by-step explanation:
The radius is half the diameter. If the diameter is 20 inches, the radius is 20/2 = 10 inches. The area is given by the formula ...
A = πr²
Filling in the given values, we get ...
A = 3.14×(10 in)² = 314 in² . . . . area of the circle
What is the answer
The width of a rectangle is 5 ft less than the length. The area of the rectangle is 234f * t ^ 2 Find the length Land width W of the rectangle: L = W =
Answer:18x13
Step-by-step explanation:
6x1=6 7x2=14 keep going up staying 5 less than or more than it doesn't matter cause its the same when dealing with just two exponents. When you get to 18x13 you get 234.
Can someone pls help me solve this .
A two-factor study with 3 levels of factor A and 3 levels of factor B uses a separate sample of 10 participants in each treatment condition. How many participants are needed for the entire study
Answer:
[tex]P=60[/tex]
Step-by-step explanation:
From the question we are told that:
Number of Factor study [tex]N=2[/tex]
Level [tex]L=3[/tex]
Sample size [tex]n=10[/tex]
Generally the umber of participants needed for the study is mathematically given as
[tex]P=N*L*n[/tex]
[tex]P=2*3*10[/tex]
[tex]P=60[/tex]
Sixty percent of all children in a school do not have cavities. The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities is:
Answer:
Probability[Number of 6 random sample do not have cavities] = 0.8
Step-by-step explanation:
Given:
Number of student do not have cavities = 60%
Number of random sample = 9 children
Find:
Probability[Number of 6 random sample do not have cavities]
Computation:
n = 9
p = 60% = 0.6
P(At least 6)
Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than 6)
Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than or equal to 6)
Probability[Number of 6 random sample do not have cavities] = 0.8
The probability of 9 children selected from this school, at least 6 do not have cavities is 0.80.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Sixty percent of all children in a school do not have cavities.
The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities will be
n = 9
p = 0.60
Then we have
[tex]\rm P = 1 - P(less \ than \ or \ equal \ 6)\\\\P = 0.8[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
What is the slope-intercept equation of the line below?
5
-5
5
6
y-intercept= (0, -4)
slope = 3
Answer:
Step-by-step explanation:
Y-intercept of line is 14
slope of line = (0 - 14)/(10 - 0) = -14/10 = -7/5
Required equation is y = -7/5 x + 14
Answer:
y=3x-4
Step-by-step explanation:
The slope-intercept form of the equation of a line is written in y=mx+b
where m is the slope and b is the y-intercept
So in that form
y=mx+b becomes
y=3x-4 using your slope of 3 and y-intercept of -4
Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
Answer:
96.25
Step-by-step explanation:
A ztable gives us values for P(X<x) and we're looking for P(X>x) so by the rule a symmetry we must make the value negative
Go to a ztable and find the value closest to .6 (I get .25), make this negative and let's set up our equation
-.25=(x-100)/15
solve for x
-3.75=x-100
x=96.25
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Find the measure of the arc or angle indicated.
9514 1404 393
Answer:
arc AC = 63°
Step-by-step explanation:
Arc BC is twice the measure of inscribed angle BAC, so is ...
arc AC = 2×89° = 178°
The remaining arc of the circle is the difference between 360° and the sum of the other two.
arc AC = 360° -119° -178°
arc AC = 63°
What fraction of shape is pink ?
Answer:
1/3
Step-by-step explanation:
1/3 of the shape is pink because the circle is divided equally in three parts. Only one of the three parts is colored pink, therefore the fraction of the pink shade is 1/3.
Pleaseeeeee Helppp meee!
Answer:
20!
Step-by-step explanation:
1. 20 = 10 + 10
2. 20 = 40 - 20
3. 20 = 2 × 10
4. 20 = 40 ÷ 2
5. 20 = 10 + 6 + 4
6. 20 = 5 × 4
7. 20 = ?
8. 20 = 60 ÷ 3
ohh someone already answered
1. 20 = 15 (square) + 5 (circle)
2. 20 = 26 (square) - 6 (circle)
3. 20 = 5 (square) × 4 (circle)
4. 20 = 17 (square) + 3 (circle)
5. 20 = 8 (square) + 8 (square) + 4
6. 20 = 5 (square) × 4
7. 20 = 2 × 20 (square) - 20 (square)
8. 20 = 60 ÷ 3 (circle)
9. 8 × 6 = 39 + 9 (circle)
10. 7 × 6 = 49 (square) - 7 (circle)
11. The problems with 2 of the same shape,
#5 and #7and problems with only one shape,
#6, #8 and #9.The problems with two alike shapes means that, since they have to be
the same number, there is no room for modification, or increasing the
value of one shape and subtracting the same transformation from the
other.
With problems #6, #8 and #9, the singular shapes work as a variable in
an expression, with usually only one making the identity true.
12.
1. 20 = 7 (square) + 13 (circle)2. 20 = 1000 (square) - 980 (circle)3. 20 = 20 (square) × 1 (circle)4. 20 = 2 (square) + 18 (circle)10. 7 × 6 = 4901 (square) - 4859 (circle)Alex flips a fair coin four times. What is the probability that he flips heads four times in a row?
1/16
the probability of flipping head on the first flip is 1/2
the probability of flipping head on the second flip is 1/2 of that, or 1/4
the probability of flipping head on the third flip is 1/2 of that, or 1/8
the probability of flipping head on the fourth flip is 1/2 of that, or 1/16
Which two statements are both true?
Answer:
The second choice is the correct choice
An urn contains three white and four red chips. Each time we draw a chip, we look at its color. If it is red, we replace it along with two new red chips, and if it is white, we replace it along with three new white chips. What is the probability that, in successive drawing of chips, the colors of the rst four chips alternate?
Answer:
The probability that, in successive drawing of chips, the colors of the first four chips alternate = 0.0751
Step-by-step explanation:
Step 1:
The probability that, in successive drawing of chips, the colors of the first four chips alternate, can occur in two ways: RED-WHITE-RED-WHITE (RWRW) or WHITE-RED-WHITE-RED (WRWR).
Step 2:
Given that an urn contains three white and four red chips and that each time we draw a chip, we look at its color. If it is red, we replace it along with two new red chips, and if it is white, we replace it along with three new white chips.
Probability of RWRW is given as follows:
Probabilty of the first being a red = 4/7
Probability of the next being a white = 3/9 = 1/3
Probability of the next being a red = 6/12 = 1/2
Probability of the next being a white = 6/14 = 3/7
Thus, probability of RWRW = 4/7 × 1/3 × 1/2 × 3/7 = 0.0408
Probability of WRWR is given as follows:
Probabilty of the first being a white = 3/7
Probability of the next being a white = 4/10 =2/5
Probability of the next being a red = 6/12 = 1/2
Probability of the next being a white = 6/15 = 2/5
Thus, probability of WRWR = 3/7 × 2/5 × 1/2 × 2/5 = 0.0343
Step 3:
Probability of RWRW or WRWR = 0.0408 + 0.0343 = 0.0751
Therefore, the probability that, in successive drawing of chips, the colors of the first four chips alternate = 0.0751
what type of number is the square root of -36 natural, whole, real or imaginary
Answer:
Imaginary
Step-by-step explanation:
after calculating the square root of 36, and "i" came after it indicating it was an imaginary number.
The measure of an angle is 104 . What is the measure of its supplementary angle?
The answer is 180
Hope that helps
Answer:
76°
Step-by-step explanation:
The sum of supplementary angles = 180° , then
supplementary angle = 180° - 104° = 76°
Determine the scale factor.
NEED HELP ASAP
Answer:
3
Step-by-step explanation:
so you can see it more boldly
explained in the comment thing.
best answer get brainly
Answer:
Step-by-step explanation:
Cost price for 1 shirt = $5.83
Cost price for 200 shirt = $1166
Sold 200 shirts for $1834
[tex]therefore \ \% \ increase = \frac{1166}{1834} \times 100 = 63.58\%[/tex]
The table of values shows the number of touchdown passes that a quarterback threw in each of his first five football games of the season.
Game vs. Touchdown Passes
Game
Touchdown passes
1
3
2
1
3
3
4
2
5
3
Which would be a point on the scatterplot that represents touchdown passes based on these games played?
(1, 2)
(2, 4)
(3, 1)
(5, 3)
Answer:
D
Step-by-step explanation:
If x is the game number, and y is the amount of touchdown passes for that specific game number, then (5,3) represents the idea that the quarter back threw y = 3 touchdown passes for game number x = 5
So the answer is choice D. This is the only ordered pair that comes from the given table. Something like (2,4) isn't true because the quarterback threw 1 touchdown pass (not 4) in game two.
Answer:D
Step-by-step explanation:
Zach wants to represent x^6 y^4 as a square. Which expression should he use?
A. (x^2y)^2
B. (x^3y)^2
C. (x^3y^2)^2
D. (x^4y^2) ^2
Answer:
C. ( x ³ y² ) ²
Step-by-step explanation:
➛ x ⁶ y⁴
➛ ( x ³ y² ) ²
Which two steps could be taken to simplify the expression y/3 + 2 = 11?
Answer:
y = 27
Step-by-step explanation:
y/3 + 2 = 11
First subtract 2 from each side
y/3 + 2-2 = 11-2
y/3 = 9
Then multiply each side by 3
y/3 *3 = 9*3
y = 27
Answer:
Answer is below :)
Step-by-step explanation:
y/3 + 2 = 11 is the Expression
Only two steps:
step 1 = subtract 2 from both the sides
y/3 = 9
Step 2 = multiply 3 from both sides
y = 27
I hope this solved your question.
Hank is running sprints on a football field and likes to challenge himself, so instead of running straight down the field, he runs on the diagonal. Of the field is 50 yards wide and 100 yards long, how far does he run on the diagonal? Round your answer to the nearest yard.
Answer:
112 yards
Step-by-step explanation:
Applying Pythagoras theorem,
Pythagoras theorem states that, in a right angle triangle, the square of the hypotenuse is equal to the sum of the square of the two other sides.
Mathematically, it is expressed as
a² = b²+c²................. Equation 1
Where a = Length of the diagonal, b and c = lenght of the two other sides
From the question,
Given: b = 50 yards, c = 100 yards.
Substitute these values into equation 1
a² = 50²+100²
a² = 2500+10000
a² = 12500
a = √12500
a = 111.8
a = 112 yards
Passes through
(-6, 13) and (3, 1).
Answer:
what passes through those points and what do yoy need to know about them?
Before it can be used, an 18-ounce container of liquid fertilizer must be mixed with 36 ounces of water. What fraction of fertilizer is in the final mixture? (type a simplified fraction)
Answer:
1/3
Step-by-step explanation:
18 oz fertilizer to 36 oz water will make 18+36 = 54 oz of liquid
18/54 , simplify by 2
9/27, simplify by 9
1/3
Find the area of Circle H
Answer:
The h and v represent the center of the circle at point (h, v), and r names the radius. Specifically, h represents the horizontal displacement — how far to the left or to the right the center of the circle falls from the y-axis.
Step-by-step explanation: