Given that ux=$6 calculate o x •round your answer to two decimal places
Answers
Answer:
\(\sigma_x = 0.57\)
Step-by-step explanation:
Given
\(\mu_x = 6\)
See attachment
Required
Calculate \(\sigma_x\)
This is calculated as:
\(\sigma_x = \sqrt{Var(x)}\)
Where
\(Var(x) =\sum (x - \mu_x)^2 * P(x)\)
So, we have:
\(Var(x) =(0 - 0.4)^2 * 0.64 + (1 - 0.4)^2 * 0.32 + (2 - 0.4)^2 * 0.04\)
Using a calculator
\(Var(x) =0.32\)
\(\sigma_x = \sqrt{Var(x)\)
\(\sigma_x = \sqrt{0.32\)
\(\sigma_x = 0.57\) --- approximated
Related Questions
Which unit would you use to measure the weight of a car?
mg
kg
g
km
Answers
Answer:
kg
Step-by-step explanation:
5 gallon bucket of paint for $97.45 or a 1 gallon bucket of paint for $21.95 which is cheaper
Answers
Answer:
the 5 gallon one
Step-by-step explanation:
Answer: it is 5 gallons because if you multiply 21.95 by 5 you will get 109.75 which is higher than 5 gallons
Step-by-step explanation:
Find x (circle)
(Btw I don’t know if 5.6 is correct so just ignore that)
Answers
Answer:
A. 11.2
Step-by-step explanation:
But this has nothing to do with 5.6 × 2. Erase that! Lol.
You have a right triangle here. The only thing to do with the circle is that there are two radii (plural of radius) shown. So they have to be the same measure.
The unmarked "bottom" of the triangle, the short leg, is a radius, so it too, is 8.4.
The hypotenuse of the right triangle, the side on the right, the longest side is 5.6 + 8.4.
The hypotenuse is 14.
Let's do some Pythagorean Theorem.
Leg^2+ leg^2=hypotenuse^2
you know,
a^2 + b^2 = c^2
fill in what we know.
8.4^2 + b^2 = 14^2
simplify.
70.56 + b^2 = 196
subtract 70.56
b^2 = 125.44
squareroot both sides
b = 11.2
Use the technique of linear regression to find the line of best fit for the given points. Round any intermediate calculations to no less than six decimal places, and round the coefficients to two decimal places.
(1,9)
, (2,9)
, (3,4)
, (4,2)
, (5,4)
, (6,2)
, (7,3)
Answers
The line of best fit for this set of points is y = -1.00x + 9.00.
What is coefficient?Coefficient is a value that is used to indicate the degree or amount of a certain property or characteristic. It is usually used in mathematics and physics, and is a numerical measure of how two variables are related. For example, the coefficient of friction is a number that indicates how much resistance there is between two surfaces when one is sliding over the other. In economics, the coefficient of elasticity is used to measure how much of a change in one variable affects a change in another.
Linear regression is a technique used to find the line of best fit for a given set of points. To use linear regression, we must first calculate the mean of all the x and y coordinates. The mean of the x coordinates is 4, and the mean of the y coordinates is 4.5.
We then calculate the sum of the squared differences between the x and y coordinates and their respective means. This sum is 36.5.
Next, we calculate the sum of the products of the differences between the x and y coordinates and their respective means. This sum is -25.
Using the formula for linear regression, we can calculate the slope of the line of best fit. The slope is -1.00.
To calculate the y-intercept of the line of best fit, we use the slope and the mean of the x and y coordinates. The y-intercept is 9.00.
The line of best fit for this set of points is y = -1.00x + 9.00.
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The ratio of qualified teachers to unqualified teachers is 1;2. Use the given ratio and determine how many qualified teachers there are if there are 540 unqualified teachers. show your calculations
Answers
Answer:
270
Step-by-step explanation:
by using the proportion rule:
let X be the number of qualified teachers then
1:2=X=540 i.e.
1/2 = X/540
by cross multiplication,
540x1=2xX
540=2X i.e.
X=540/2
X=270
There are 270 qualified teachers.
To solve this, we would apply the knowledge of proportion.
It is simply a way of stating that two ratios are of equal measure.
For example, \(a:b = x:y\) or \(\frac{a}{b} = \frac{x}{y}\)
Applying the following proportion rule given that:
Ratio of qualified teachers to unqualified teachers is 1:2.
Number of unqualified teachers = 540
Let number of qualified teachers be represented by x.
Therefore:
\(\frac{1}{2} = \frac{x}{540}\)
Cross multiply
\(2x = 540(1)\)
Divide both sides by 2
\(\frac{2x}{2} = \frac{540}{2} \\x = 270\)
Therefore, the number of qualified teachers is 270.
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Rewrite using a single positive exponent.
5^7/5^4
Answers
Answer:
5³
Step-by-step explanation:
5^7 : 5^4
5^(7-4)
5^3
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answers
Answer:
I think its C
Step-by-step explanation:
Using the segment addition postulate, find the value of x.
AB = 3x + 8
BC = 4x + 6
AC = 28
1) 2
2) 7
3) 28
4) 14
Answers
Answer:
its 2
Step-by-step explanation:
According to segment addition prostulate,
AB+BC=AC
or,3x+8+4x+6=28
or, 7x+14=28
or 7x=28-14
or, 7x=14
or,x=14÷7
or,x=2
Therefore, the value of x is 2.
Which equation does NOT represent a linear function? A. y = 5 B. 4 y = 2 x − 8 C. y = x + 2 x 2 D. y = − 2 3 x − 1
Answers
A, B, and D are all linear
Please I really need help with this
Answers
Answer:
(-20x -25)/(x^2-x-30)
Step-by-step explanation:
You want to simplify the rational expression (3x²)/(x²-x-30) -(3x+5)/(x-6).
Use a common denominatorUsually these problems are constructed so that the higher-degree polynomial denominator has the lower degree denominator as a factor. That is the case here.
\(\dfrac{3x^2}{x^2-x-30}-\dfrac{3x+5}{x-6}=\dfrac{3x^2}{(x+5)(x-6)}-\dfrac{(x+5)(3x+5)}{(x+5)(x-6)}\\\\=\dfrac{3x^2-(3x^2+20x+25)}{x^2-x-30}\)
Simplify\(=\boxed{\dfrac{-20x-25}{x^2-x-30}}\)
Write the following inequality in interval notation: -8 ≤ x < 7
Answers
The inequality in interval notation is [-8, 7)
How to write the inequality in interval notation?The inequality is given as:
-8 ≤ x < 7
In inequalities,
<= and >= are represented with [ and ]
< and > are represented with ( and )
Using the above as a guide, we have:
-8 ≤ x < 7 to be [-8, 7)
Hence, the inequality in interval notation is [-8, 7)
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Steve has a 20-sided die with numbers from 1 to 20. What is the probability that Steve rolls a number that is 5 or below?
Answers
We have that the probability per side is 1/20
we have that the numbers are 5 or below 5 so it can be 5,4,3,2,1
\(P=\frac{1}{20}+\frac{1}{20}+\frac{1}{20}+\frac{1}{20}+\frac{1}{20}\)then we sum
\(P=\frac{5}{20}=\frac{1}{4}\)the probability is 1/4
In two or more complete sentences, describe how to graph the following equation. In your description, include the slope and both the x- and y-intercepts of the line. x-y=4
Answers
The graph of the equation can be sketched by using the x- and y-intercepts. The graph of the equation is shown below
From the question, we are to determine how to graph the given equation.
The given equation is x - y = 4
To graph the line,
First, we will determine the x-intercept and the y-intercept. We will then graph the line by using the intercepts.
x-intercept is the point when y = 0 on the graph and the y-intercept is the point where x = 0 on the graph.
Determine the x-intercept
x - y = 4
x - 0 = 4
x = 4
The x-intercept is (4, 0)
Determine the y-intercept
x - y = 4
0 - y = 4
-y = 4
y = -4
The y-intercept is (0, -4)
Using the x- and y-intercepts, the graph of the line is shown below
The graph of the equation is given below
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HegartyMaths: Factorise 8f *2 + 7f
Answers
30f is Factorised form of the expression 8f × 2 + 7f × 2.
What is Factorise?Factoring is the opposite of expanding brackets, so an example would be to change 2x2 + x - 3 to (2x + 3). (x - 1). This approach to solving quadratic equations is crucial.
The first step in factorising an expression is to "take out" any shared factors that the terms have. In order to factorise x2 + x, you would therefore write x(x + 1) because x appears in both terms.
8f × 2 + 7f × 2
= 2(8f + 7f)
= 2(15f)
= 30f
30f is Factorised form of the expression 8f × 2 + 7f × 2.
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HELP MATHS ASAPPPP!!
Can I Dm the qs to you please???
Answers
Solve the given equation for x.
2x-B = 10
Answers
Answer:
x=5+b/2
Step-by-step explanation:
move all terms that dont contain x to the right, and solve
Answer:
2 times 6-2+10
Step-by-step explanation:
The volume V, of a cylinder is V=pie times radius to the power of 2 h, where r is the radius of the cylinder and h is the height. Using rounding to the nearest whole number, which of the following is an estimate of the volume of a cylinder with a radius of 3.75 inches and height of 6.21 inches
Answers
Answer:
\(274\,\text{in}^3\)
Step-by-step explanation:
\(V=\pi r^2h=\pi(3.75)^2(6.21)\approx274\,\text{in}^3\)
I’ve done the first part. I just need help on the second part
Its worth 35 points
I’m am timed.
Thanks
Answers
Answer:
Step-by-step explanation:
Check the picture I hav attached, hope it helps
Is ther function linear or quadratic?
f(x)=x2-3x+2
A. linear
B. quadratic
Answers
Answer:
it is quadratic because quadratic describes something that pertains to squares and this equations has the term 'x2'
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
did the math
1.
(03.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 11(1.01)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)
Answers
Answer:
sept one
Step-by-step explanation:
A plane flying with a constant speed of 360 km/h passes over a ground radar station at an altitude of 1 km and climbs at an angle of 30°. At what rate (in km/h) is the distance from the plane to the radar station increasing a minute later? (Round your answer to the nearest whole number.)
Answers
The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).
To solve this problem, we can use the concepts of trigonometry and related rates.
Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.
Given:
The plane is flying with a constant speed of 360 km/h.
The plane passes over the radar station at an altitude of 1 km.
The plane is climbing at an angle of 30°.
We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.
We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:
sin(30°) = 1/D.
To find dD/dt, we can differentiate both sides of this equation with respect to time:
cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.
Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:
cos(30°) * 0 = -1/D^2 * dD/dt.
We can substitute the known values:
cos(30°) = √3/2,
D = 1 km.
Therefore, we have:
√3/2 * 0 = -1/(1^2) * dD/dt.
Simplifying further:
0 = -1 * dD/dt.
This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.
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The equation y=123.1(1.065)ˣ models the number of college students (in thousands) who studied abroad each year from 1998 through 2013. In this equation, y is the number of students from a certain country studying abroad (in thousands) and x represents the number of years after 1998. a. Estimate the number of students studying abroad in 2005. b. Assuming this equation continues to be valid in the future, use this equation to predict the number of students studying abroad in 2018.
a. The number of students studying abroad in 2005 is thousand.
(Round to the nearest tenth as needed.)
Answers
By evaluating the exponential equation we can see that:
in 2005 there are 191.3 thousands of students studying abroad.In 2018 there are 433.8 thousands of students studying abroad.Estimate the number of students studying abroad in 2005?The equation that models the number of college students who studied abroad each year from 1998 through 2013 is the exponential:
y=123.1(1.065)ˣ
x is the number of years after 1998.
2005 is 7 years after, then we need to replace x by 7 in the exponential, we will get:
y=123.1(1.065)⁷ = 191.3
On 2005 there are 191.3 thousands of students studying abroad.
B) and on 2018?
2018 is 20 years after 1998, so we need to use x = 20, we will get:
y=123.1(1.065)²⁰ = 433.8
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yes or no
if yes pls tell me what the unit rate is
I WILL MARK U BRAINLIEST
(attachment)
Answers
Answer:
Yes, and the unit rate is 1:48
Step-by-step explanation:
If you start by dividing 204 by 4.25, you will see you get an answer of 48. Now if you move on to the next row, and divide 252 by 5.25, you also get 48. If you do the same with the last two rows, you get 48 for both. This shows that the unit rate is 1:48.
In Japan. traditionally it was believed that if you folded 1,000 origami cranes, your wish would come true. For a party, Emika is making origami cranes by folding square pieces of paper. The area of each piece of paper she uses is 35 in.^2.
What is the exact perimeter of the paper Emika uses? ______
Answers
Answer:
Step-by-step explanation:
Remark
Interesting detail.
Origami Paper is square -- perfectly.
So the properties listed will be related to a square.
Givens
Area = 35 in^2
Formulas
Area = s^2 where s is the length of 1 side.
Perimeter = 4s
Solution
Area = s^2 = 35
s^2 = 35 Take the square root of both sides.
√s^2 = √35
s = 5.91
Perimeter = 4s
s = 5.91
Perimeter = 4*5.91
Perimeter = 23.66
The way the question is worded, the answer you should submit is
Perimeter = 4 * √35
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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y = -5x+1 linear or nonlinear
Answers
Write an equation of the line in slope-intercept form(0,1)(2,-3)
Answers
Answer:
y=-2x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-1)/(2-0)
m=-4/2
m=-2
y-y1=m(x-x1)
y-1=-2(x-0)
y=-2(x)+1
y=-2x+1
Charles can type 675 words in 9 minutes. How many words can he type per minute?
Group of answer choices
6075 words per minute
75 words per minute
86 words per minute
75 minutes per word
Answers
Answer:
675 devided bye 9 = 75
Step-by-step explanation:
Answer: 75 words per minute
Step-by-step explanation:
We can set this problem up similar to a ratio
675:9
Knowing that this is for 9 minutes, dividing by 9 will give you the amount per one minute
675/9 9/9
75:1 or 75 words per minute
PLEASE HELP!!!!
What mixed number do these squares model?
19/5=?
Enter your answer
Answers
Answer:
19/5= 3 4/5.
Step-by-step explanation:
19 divided by 5 equals 3 with a left over of 4. So 3 and 4/5 should be the answer. hope this helps! have a good day!
Somebody help me pls ♀️
Answers
1. The trigonometric ratios are given as follows:
Sine = opposite/hypotenuse.Cosine = adjacent/hypotenuse.Tangent = opposite/adjacent.2. The equation to solve for x is given as follows: sin(52º) = x/13.
3. Two equations to solve for m are given as follows:
n² + m² = l².m = square root (l² - n²).4. The length of the hypotenuse of the triangle is given as follows: 7.9 inches.
5. The lengths are given as follows:
BD = 4.3 cm.BC = 11.5 cm.What are the trigonometric ratios?The three trigonometric ratios are given as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.In the second problem, we have that the side x is opposite to the angle of 52º, while the hypotenuse is of 13, hence the equation to solve for x is given as follows:
sin(52º) = x/13.
In item 3, the Pythagorean Theorem is used to solve for m, as follows:
n² + m² = l².
m² = l² - n²
m = square root (l² - n²).
In item 4, we have that the angle opposite to the leg of length 7 inches is of 62º, hence the hypotenuse is given as follows:
sin(62º) = 7/h
h = 7/sin(62º)
h = 7.9 inches.
The length BD in item 5 is obtained as follows:
cos(30º) = BD/5
BD = 5 x cos (30º)
BD = 4.3 cm.
Then the length BC is calculated as follows:
sin(22º) = 4.3/BC
BC = 4.3/sin(22º)
BC = 11.5 cm.
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