Answers
Answer:
Step-by-step explanation:
We can use:
\(\frac{12}{sin35} = \frac{16}{sinB}\)
Solve for sinB
\(sinB=\frac{16(sin35)}{12}\)
The answer we get from that is: 0.76
With that answer, we can do:
\(B=sinx^{-1}(0.76)\)
So, since the calculator did NOT put out an error, there is 2 such triangles.
Only 1 triangle can be formed by angle m∡A = 35°, a = 12, b = 16.
How many triangles are created in the following situation:m∡A = 35°, a = 12, b = 16. is to be determined.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°.
Here, the data given is m∡A = 35°, a = 12, b = 16,
Since one angle m∡A = 35° is given between the two sides a = 12, b = 16,.
There is only one triangle that can be made through the given data.
because when we plot the measures only one side can be added without calculation in order to complete the triangle.
Thus, only 1 triangle can be formed by m∡A = 35°, a = 12, b = 16.
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Related Questions
which integer conversion specifier would display the hexadecimal digit a? a) H b) h c) Xd) x
Answers
The integer conversion specifier that would display the hexadecimal digit "a" is "x".
d) x
To display the hexadecimal digit "a" using an integer conversion specifier.
The "x" specifier is used for displaying an integer value in hexadecimal format with lowercase letters (i.e., a, b, c, etc.), while "X" would display the value in uppercase letters (i.e., A, B, C, etc.).
Options "H" and "h" are not standard integer conversion specifiers for displaying hexadecimal values.
Hence d) x is correct.
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which number sentence is true
4.05=0.45
4.05<0.45
0.45>0.5
0.45<0.5
Answers
Answer:
0.45<0.5
Step-by-step explanation:
T/F?The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.
Answers
This statement is False as the probability of intersection of two events is always less than the probability of union.
This assertion is untrue. Contrary to popular belief, the likelihood of two occurrences coming together is always higher than or on pair with the likelihood of them colliding.
The chance of two events A and B occurring together can be calculated using the following formula to see why:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)According to this equation, the probability of A and B joining together is equal to the total of their individual probabilities less the likelihood of their colliding.
When we rewrite this calculation and focus only on the likelihood of the intersection, we obtain:
P(A ∩ B) = P(A) + P(B) - P(A ∪ B)Now it is clear that the probability of the intersection is determined by subtracting the probability of their union from the sum of the probabilities of A and B.
P(A) and P(B) are both less than or equal to P(A B), since probabilities can never be negative. P(A + B) is therefore less than or equal to twice P(A + B) when they are added together. Thus, it follows:
P(A) + P(B) - P(A ∪ B) ≤ P(A ∪ B)This indicates that, contrary to what the original statement implied, the probability of the intersection is not greater than or equal to the probability of the union.
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Ina Crespo rowed 20 miles down the Habashabee River in 2 hours, but the return trip took her 5 hours. Find the rate Ina rows in still water and the rate of the current Let x represent the rate Ina can row in still water and let y represent the rate of the current.
Answers
The rate Ina rolled in still water is 7 miles/ hour and the rate he rolled in the current is 3 miles/hour
Word problems leading to the addition of vectorsWord problems are encountered in our daily lives and with the use of appropriate mathematical knowledge, we can approach them rightly and get the desired solution we needed.
Word problems can be interpreted by the use of variables, the coefficient of the variables, integers, and their arithmetic operations.
In this question, we will be solving word problems that require the addition of vectors. The question talks about Ina Crespo who rolled the canoe down the river in the same direction, as such we can interpret the expression as:
\((v_x + v_y) = \dfrac{d}{2}\)
When he rolled up, i.e. in the reverse direction(negative direction), we have:
\((v_x -v_y) = \dfrac{d}{5}\)
Now, adding the two equations together, we have:
\(2v_x = \dfrac{d}{2}+\dfrac{d}{5}\)
\(2v_x = \dfrac{20}{2}+\dfrac{20}{5}\)
\(v_x = 7\)
Replacing the value of v_x into \((v_x + v_y) = \dfrac{d}{2}\)
\((7+ v_y) = \dfrac{20}{2}\)
\(v_y = 3\)
Therefore, we can conclude that the rate Ina rolled in still water is 7 miles/ hour and the rate he rolled in the current is 3 miles/hour.
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Could someone please help me if you don’t mind?
Answers
Answer:
v = lhw
Step-by-step explanation:
\(\frac{v}{lh} = w\)
v = lhw
find the missing side lengths answers are in simplest radical form with the denominator rationalized
Answers
Explanation:
For any 30-60-90 triangle, the short leg is half of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
So this means n = 10/2 = 5
Because n = 5, there's only one answer choice that fits and it's choice C.
Determine whether the value is a parameter or statistic.
In a weight loss research study the sample of 50 women lost an average of 2.5 pounds.
Answers
It determines statistic.
Since the researcher is studying a sample of 50 women who have lost weight of pounds so since it is a sample and of a definite size so it means it is a sample so they determines statistic.
A statistic (singular) or sample statistic is any quantity calculated from values in a sample that is considered for statistical purposes. Statistical purposes include estimating a population parameter, describing a sample, or evaluating a hypothesis. The mean (or average) of the sample values is a statistic. The term statistic is used both for a function and for the value of the function on a given sample. When a statistic is used for a specific purpose, it may be labeled with a name indicating its purpose.
When a statistic is used to estimate a population parameter, the statistic is called an estimator. A population parameter is any characteristic of the population under study, but when it is not possible to directly measure the value of the population parameter, statistical methods are used to derive the probable value of the parameter based on statistics calculated from the sample. drawn from the population. For example, the sample mean is an unbiased estimate of the population mean. This means that the expected value of the sample mean is equal to the true population mean
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The cost(c)of chicken varies directly as its weigth(w)equation
Answers
Answer:
\(c = kw\)
Step-by-step explanation:
Given
c varies directly as w
Required
Write the equation
c varies directly as w.
Mathematically, this is represented as:
\(c\ \alpha\ w\)
Convert to equation.
\(c = kw\)
Where k is the constant of variation
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answers
I think its a is one of them, im not completely sure tho
Step-by-step explanation:
Please do a explanation:’)
Answers
Answer:
3x-3xy-2xy-5x+6. ( multiply the number that were outside the bracket)
By BODMAS rule...
= 3x-5x-3xy-2xy+6
= -2x-5xy+6
hope you understood...
Answer and Step-by-step explanation:
We are given an expression to simplify. According to PEMDAS
(Parenthesis, Exponents, Multiplication, Division, Addition, and Subtract [in that order]), we need to start with the parentheses first.
With what we are given, we need to multiply the value outside of the parenthesis to the values inside the parenthesis.
Start with the first set of terms in the expression.
3(x - xy)
We need to multiply 3 to the x and negative xy.
3x - 3xy
Now we go to the next set of terms in the expression.
-x(2y + 5)
Distribute the x (multiply) to the 2y and 5.
-2xy - 5x
Now, we combine like terms within the entire expression.
Combining like terms is essentially saying to combine the terms that have similar properties/values. We have values that have an x with it, and xy with it, and no variables with it. We can combine only the values with the x variable together, and the values with the xy variable can only be combined together. The values without the variables (if you have more than one), will combine only with each other.
3x - 3xy - 2xy - 5x + 6
____________________________________________
-5xy - 2x + 6 <- This is the final answer; the simplified version of the expression.
#teamtrees #PAW (Plant And Water)
1. Domain is all real numbers except ____
2. Range is all real numbers except ____
3. Interval of decrease is all real numbers except ____
4. Horizontal asymptote: ____
5. Vertical asymptote: ____
6. Hole at x = ____
Answers
2. The range is all real numbers except y = 4, since the function can take any other real value.
3. The function is continuous and decreasing on the intervals (-∞, 3) and (3, ∞), so the interval of decrease is all real numbers except x = 3.
4. The horizontal asymptote is y = 0, since as x approaches positive or negative infinity, the function approaches zero.
5. The vertical asymptote is x = 3, since the denominator becomes zero at x = 3, and the function becomes undefined.
6. There is a hole in the graph at x = 3, since the function is undefined at this point. However, the hole can be "filled" by simplifying the function to (2x - 6)/(x - 3) and noting that the factor (x - 3) cancels out, leaving the function equal to 2 for all x not equal to 3.
Question 2 Multiple Choice Worth 1 points)
(03. 08 MC)
Timothy has a greenhouse and is growing sunflowers. The table shows the average number of sunflowers that bloomed over a period of four months:
Month
1
2
3
4
Sunflowers 15 17. 2 19. 4 21. 6
Did the number of sunflowers increase linearly or exponentially?
Linearly, because the table shows a constant percentage increase in orchids each month
Exponentially, because the table shows that the sunflowers increased by the same amount each month
Exponentially, because the table shows a constant percentage increase in sunflowers each month
Linearly, because the table shows that the sunflowers increased by the same amount each month
Answers
For average number of sunflowers that bloomed over a period ( in months) in Timothy's greenhouse, the number of sunflowers increase linearly because the increasing rate is same for each month. So, option (d) is right one.
We have Timothy's greenhouse where he is growing sunflowers. The table represents the average number of sunflowers that bloomed over a period of four months. We have to check number of sunflowers increase linearly or exponentially. See the table carefully, the number of sunflowers increase with increase of number of months. That is first month number of sunflowers are 15 then 17.2 in next month.
The increasing rate of number of flowers per month = 17.2 - 15 = 2.2 or 19.4 - 17.2 = 2.2 or 21.6 - 19.4 = 2.2
So, the answer is Linearly, because the table shows that the sunflowers increased by the same amount each month. Another way to check is graphical method, if we draw the graph for table data it results a linear graph. Hence, the number of sunflowers increase Linearly.
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Complete question:
Question 2 Multiple Choice Worth 1 points) (03. 08 MC)
Timothy has a greenhouse and is growing sunflowers. The attached table shows the average number of sunflowers that bloomed over a period of four months. Did the number of sunflowers increase linearly or exponentially?
a)Linearly, because the table shows a constant percentage increase in orchids each month
b)Exponentially, because the table shows that the sunflowers increased by the same amount each month
c)Exponentially, because the table shows a constant percentage increase in sunflowers each month
d)Linearly, because the table shows that the sunflowers increased by the same amount each month
a researcher selects a sample and administers a treatment to the individuals in the sample. if the sample is used for a hypothesis test, what does the alternative hypothesis (h1) say about the treatment?
Answers
The alternative hypothesis(h1) says that the treatment causes a change in the scores.
What is a hypothesis test?
In statistics, hypothesis testing involves putting an analyst's presumption about a population parameter to the test. The data type used and the study's purpose will determine the methodology the analyst uses.
Using sample data, hypothesis testing determines whether a claim is plausible. These data could originate from a broader population or a process that creates data.
Hence, the alternative hypothesis(h1) says that the treatment causes a change in the scores
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Verify Property 2 of the definition of a probability density function over the given interval f()-486*, I-33 What is Property 2 of the definition of a probability density function? A. The area under the graph off over the interval [a,b] is b O B. The area under the graph of f over the interval [a,b] is a. O C. The area under the graph of f over the interval [a,b] is 1
Answers
The Property 2 of the definition of a probability density function holds for the given probability density function over the interval [I-33].The answer is C. The area under the graph of f over the interval [a,b] is 1.
The definition of a probability density function is a function that describes the likelihood of obtaining a particular value from a random variable. Property 2 of the definition of a probability density function is "the area under the graph of f over the interval [a, b] is 1".It is essential to verify that this property holds for a given probability density function. To verify Property 2 of the definition of a probability density function over the interval f(x)
=486x, [I-33], we need to find the value of the integral of f(x) over the interval [I-33].We know that the integral of f(x) over the interval [I-33] is the area under the graph of f(x) over the interval [I-33].We can find the integral of f(x) over the interval [I-33] by integrating f(x) with respect to x as follows:∫f(x)dx
=∫486xdx
=243x²∣I-33
=243(I²-33²)Now, we need to evaluate this expression at I
=33 and I
=-33:243(I²-33²)∣I
=-33
=243((-33)²-33²)
=243(1089-1089)
=0and243(I²-33²)∣I
=33
=243((33)²-33²)
=243(1089-1089)
=0So, the value of the integral of f(x) over the interval [I-33] is zero. The Property 2 of the definition of a probability density function holds for the given probability density function over the interval [I-33].The answer is C. The area under the graph of f over the interval [a,b] is 1.
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Help me on this pls.
Answers
Answer:
h.
Step-by-step explanation:
11 / 232 = 0.047
0.047 x 100% = 4.7%
What number is 75 percent of 64? Please help!
Answers
Answer:
The answer is 48.
60% of 15 is what answer
Answers
Answer:9
Step-by-step explanation:
Think of it this way:
If 15=100%
then x= 60%
So what you do is you multply 60 times 15 and divide it by 100 to give you the answer of 9. To me this is the simplest way to do it, I believe it’s called butterfly multiplying. You cross multiply and then you divide.
1. Triangle ABC has an angle of ABC = 60°, AB = 3 √3 cm and BC = 4 √3 cm. Determine the length of AC.
Answers
Answer:
see below
Step-by-step explanation:
you can use cosine law
(3 sqrt3)^2 + (4 sqrt3)^2 - 2(3 sqrt3)(4sqrt3)cos60 = AC^2
AC = sqrt39
The maths class has 9 girls and 14 boys. What is the ratio to boys to girls
Answers
It’s asked for boys first, so the amount of boys goes first
(Btw, If it asked for girls first, it would be 9:14)
Please solve below:
(1) Convert the equation of the line 10x + 5y = -20 into the format y = mx + c. (2) Give the gradient of this line. Explain how you used the format y=mx+c to find it. (3) Give the y-intercept of this
Answers
The equation can be converted to y = -2x - 4, indicating a gradient of -2 and a y-intercept of -4.
How can the equation 10x + 5y = -20 be converted to the format y = mx + c, and what is the gradient and y-intercept of the resulting line?(1) To convert the equation of the line 10x + 5y = -20 into the format y = mx + c:
We need to isolate the y-term on one side of the equation. First, subtract 10x from both sides:
5y = -10x - 20
Next, divide both sides by 5 to isolate y:
y = -2x - 4
So, the equation of the line in the format y = mx + c is y = -2x - 4.
(2) The gradient of this line is -2. We can determine the gradient (m) by observing the coefficient of x in the equation y = mx + c. In this case, the coefficient of x is -2, which represents the slope of the line.
The negative sign indicates that the line slopes downward from left to right.
(3) The y-intercept of this line is -4. In the format y = mx + c, the y-intercept (c) is the value of y when x is zero. In the given equation y = -2x - 4, the constant term -4 represents the y-intercept, which is the point where the line intersects the y-axis.
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a 17 feet ladder is placed against a building. the bottom of the ladder is sliding away from the building at a rate of 5 feet per second. find the rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building.
Answers
The rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building is -75/8 feet per second
The length of the ladder = 17
Consider the length of the base as x and the height is h
The rate at which the ladder is sliding = 5 feet per second
dx/dt = 5
Apply the Pythagorean theorem
x^2 + h^2 = 17^2
h^2 = 289 - x^2
h = \(\sqrt{289-x^2}\)
The rate of change of height with respect to x is
dh/dx = - x / (289 - x^2)^(1/2)
dh/dt = dh/dx × dx/dt
Substitute the values in the equation
= - 15 / (289 - 15^2)^(1/2) × 5
= -15/8 × 5
= -75/8 feet per second
Therefore, the rate of change of height when x = 15 is -75/8 feet per second
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solve for x please help asap! will give brainlest
Answers
Answer:
80+60+3x+4=180
140+3x+4=180
144+3x=180
3x=180-144
3x=36
x=12
Answer:
x = 12
Step-by-step explanation:
All triangles equal to 180 degrees so, we can set up this expression:
180 = (3x + 4) + 80 + 60
All we have to do is solve:
180 = (3x + 4) + 80 + 60
180 = 3x + 4 + 140
180 = 3x + 144
-144 -144
36 = 3x
/3 /3
12 = x
Write an equivalent integral with the given order of integration ∫20∫4−x2√0∫4−x2√0F(x,y,z)dzdydx=∫ba∫g(z)f(z)∫k(x,z)h(x,z)F(x,y,z)dydxdz a= b= f(z)= g(z)= h(x,z)= k(x,z)=
Answers
To convert the given order of integration to the desired order, we start by writing down the limits of integration for each variable in the new order. We have:
a = 0, b = 2
g(z) = 0, f(z) = √(4 - z^2)
k(x,z) = -√(4 - z^2) , h(x,z) = √(4 - x^2 - z^2)
Now, we can write the equivalent integral in the new order of integration:
∫ba∫g(z)f(z)∫k(x,z)h(x,z)F(x,y,z)dydxdz = ∫0^2 ∫0^√(4-z^2) ∫-√(4-z^2)^(√(4-x^2-z^2)) F(x,y,z) dydxdz
Note that the integrand F(x,y,z) is not dependent on y, so we can simplify the integral with respect to y to get:
∫ba∫g(z)f(z)∫k(x,z)h(x,z)F(x,y,z)dydxdz = ∫0^2 ∫0^√(4-z^2) ∫-√(4-z^2)^√(4-x^2-z^2) F(x,z) dxdz
This is the equivalent integral with the desired order of integration.
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Can someone help me with these two questions?PLS
Answers
because all u need to do is to just move x to one side and the numbers to the other side
Answer:
One
Step-by-step explanation:
3x-5=-3 add 5 to each side.
3x-5+5=-3+5 simplify.
3x=2 divide each side by three.
3x/3=2/3 simplify
x=2/3
Enter an algebraic expression to model the given context. give your answer in simplest form. the price s of a pair of shoes plus 2% sales tax.
Answers
An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.
What is price?Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).
What is an algebraic expression?An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
Let s represent the price of a pair of shoes.
Therefore, an algebraic expression which models the given context would be written as follows:
s + 0.02s = 1.05s.
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if a data set produces sst = 2000 and sse = 800, then the coefficient of determination is
Answers
The coefficient of determination is 0.6 or 60%.
The coefficient of determination, denoted as R-squared, is a measure of the proportion of variability in the dependent variable that is explained by the independent variable(s). It is given by:
R^2 = 1 - SSE/SST
where SSE is the sum of squares of residuals and SST is the total sum of squares.
In this case, we are given that SST = 2000 and SSE = 800. Substituting these values, we get:
R^2 = 1 - SSE/SST
= 1 - 800/2000
= 0.6
Therefore, the coefficient of determination is 0.6 or 60%.
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Given the following two ordered pairs calculate the rate of the function.
(−9, −4) and (−3, −16)
Enter your answer in the box.
M=
Given the linear function equation state the function rate.
y=−7x+1
Enter your answer in the box.
M=
Given the linear function table state the y-intercept.
x= -2, -1, 0, 1, 2
y=-6, 0, 6, 12, 18
Enter your answer in the box.
b=
Given the linear function Table state the function rate.
x= -2, -1, 0, 1, 2
y=-6, 0, 6, 12, 18
Enter your answer in the box.
m=
Select the linear function equation for the table.
x= -4, -3, -2, -1, 0
y= 7, 4, 1, -2, -5
y=−5x−3
y=3x+5
y=5x+3
y=−3x−5
Answers
Linear functions are functions that have uniform and constant rates.
(a) Ordered pairs
The ordered pair is given as (-9,-4) and (-3,-16).
The slope (m) is calculated as:
\(m = \frac{y_2 -y_1}{x_2 -x_1}\)
So, we have:
\(m = \frac{-16 --4}{-3--9}\)
\(m = \frac{-12}{6}\)
\(m = -2\)
Hence, the slope (m) is 2
(b) The rate of y = -7x + 1
The function is given as \(y = -7x + 1\)
A linear function is represented as:
\(y = mx + b\)
Where m represents the slope/rate
By comparison
\(m = -7\)
Hence, the rate (m) is -7
(c) The y-intercept of a linear function
The y-intercept of a linear function is where the x-value is 0
From the table,
y = 6 when x = 0
Hence, the y-intercept (b) is 6
(d) Rate of a linear function
From the table, we have the following ordered pairs
(2,18) and (0,6).
The slope (m) is calculated as:
\(m = \frac{y_2 -y_1}{x_2 -x_1}\)
So, we have:
\(m = \frac{6 -18}{0-2}\)
\(m = \frac{-12}{-2}\)
\(m = 6\)
Hence, the slope (m) is 6
(e) Equation of a linear function
From the table, we have the following ordered pairs
(0,-5) and (-3,4).
The slope (m) is calculated as:
\(m = \frac{y_2 -y_1}{x_2 -x_1}\)
So, we have:
\(m = \frac{4 --5}{-3-0}\)
\(m = \frac{9}{-3}\)
\(m = -3\)
The equation is then calculated as:
\(y = m(x - x_1) + y_1\)
So, we have:
\(y = -3(x - 0) -5\)
\(y = -3x -5\)
Hence, the linear equation is \(y = -3x -5\)
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Which set of angle measures could be the measures of the interior angles of a triangle? 90°, 42°, and 58° 60°, 60°, and 60° 100°, 48°, and 42° 31°, 75°, and 70°
Answers
Answer:
60°, 60°, and 60° is the set of interior angles of triangle.
Step-by-step explanation:
Given:
Set of interior angles
90°, 42°, and 58° 60°, 60°, and 60° 100°, 48°, and 42° 31°, 75°, and 70°Find:
Set of interior angles of triangle
Computation:
We know that, sum of interior angles of triangle is 180°
So,
90° + 42° + 58° = 190°
60° + 60° + 60° = 180°
100° + 48° + 42° = 190°
31° + 75° + 70° = 176°
So,
60°, 60°, and 60° is the set of interior angles of triangle.
Answer:
60°, 60°, and 60°
Step-by-step explanation: I took the quiz
Round 7996.33774627 to the nearest ten ?
Answers
The given decimal number rounded to the nearest tenth is 7996.34.
The given decimal number is 7996.33774627.
We need to find round 7996.33774627 to the nearest tenth.
How to round the decimal number to the nearest tenth?To round a number to the nearest tenth, we need to look to the right of the tenth place, which is the hundredth place. If the digit in the hundredth place is 5 or greater than 5, we need to add one to the digit in the tenth place. If it is 4 or less than 4, the tenth place digit remains the same. All the digits to the right of the tenth place should be changed to 0. That means, while rounding off a number to the nearest tenth, we will stop the rounding at the tenth place.
Now, the decimal number 7996.33774627 rounded to the nearest tenth.
In the decimal number 7996.33774627, the digit in the hundredth place is 7 which is greater than 5.
So, the decimal number is rounded to 7996.34.
Therefore, the given decimal number rounded to the nearest tenth is 7996.34.
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0 0.3 1 0.25 2 0.3 3 0.15 find the expected value of the probability distribution. round to two decimal places. find the standard deviation of the probability distribution. round to two decimal places.
Answers
To find the expected value of the probability distribution, we need to multiply each value by its corresponding probability, then add up the results. So, we have:
0 * 0.3 + 1 * 0.25 + 2 * 0.3 + 3 * 0.15 = 0 + 0.25 + 0.6 + 0.45 = 1.3
Therefore, the expected value of the probability distribution is 1.3.
To find the standard deviation of the probability distribution, we need to use the formula:
σ = sqrt(∑(x-μ)²p)
Where σ is the standard deviation, μ is the expected value, x is each value, and p is its corresponding probability.
So, we have:
σ = sqrt((0-1.3)² * 0.3 + (1-1.3)² * 0.25 + (2-1.3)² * 0.3 + (3-1.3)² * 0.15)
σ = sqrt(0.69 * 0.3 + 0.09 * 0.25 + 0.49 * 0.3 + 1.69 * 0.15)
σ = sqrt(0.207 + 0.0225 + 0.147 + 0.2535)
σ = sqrt(0.63)
σ = 0.79
Therefore, the standard deviation of the probability distribution is 0.79.
the expected value of the probability distribution is 1.3 and the standard deviation is 0.79.
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