the mean is 5.8the variance is 2.4We have to find the standard deviation and round it to one decimal place.
Answers
To calculate the standard deviation given the variance, we just take the square root.
That because the variance is:
\(v=\sigma^2\)And the standard deviation is:
\(\sigma\)So, calculating the standard deviation:
\(\sigma=\sqrt[]{\sigma^2}=\sqrt[]{v}=\sqrt[]{2.4}=1.54919\ldots\approx1.5\)Thus, the standard deviation is 1.5.
Related Questions
find the complete factored form of the polynomial -44a^3 + 20a^6
Answers
Answer:
\(4a^3(5a^3-11)\)
Step-by-step explanation:
→Take out the GCF (Greatest Common Factor). The GCF is \(4a^3\) because both \(-44a^3\) and \(20a^6\) can be divided by it, like so:
\(-44a^3+20a^6\)
\(4a^3(5a^3-11)\)
(05.03 LC)
The equation shows the relationship between x and y:
y = −4x + 9
What is the slope of the equation? (5 points)
Group of answer choices
−9
−4
4
9
Answers
make m the subject of this eequation please help!! asap
Answers
Answer: \(M = \pm\sqrt{\frac{3K}{4(5+7NK)}}\\\\\)
======================================
Work Shown:
\(\frac{5}{K} = \frac{3}{4M^2} - 7N\\\\\frac{5}{K}+7N = \frac{3}{4M^2}\\\\\frac{5}{K}+7N*\frac{K}{K} = \frac{3}{4M^2}\\\\\frac{5}{K}+\frac{7NK}{K} = \frac{3}{4M^2}\\\\\frac{5+7NK}{K} = \frac{3}{4M^2}\\\\4M^2*(5+7NK) = K*3\\\\M^2 = \frac{3K}{4(5+7NK)}\\\\M = \pm\sqrt{\frac{3K}{4(5+7NK)}}\\\\\)
Other forms are possible, but those forms would be equivalent to what is shown above.
to find the result when
6x3 + 15x2 + 17x + 12 is divided by 2x + 3.
I need help with this answer
Answers
Answer:
answer is 51 hope i'm corret
this is the question I need help with
Answers
The Sun's rays hit the Earth most directly close to the equator, whereas near the poles they hit at a sharp angle.
This indicates that the tropics are warmer than the poles and that higher latitudes absorb less solar radiation per square centimeter (or inch) of surface area than lower latitudes do.
The incoming solar energy is more direct (almost perpendicular or closer to a 90° angle) when the sun's rays hit the surface of the Earth close to the equator. Warmer temperatures result from the solar radiation being concentrated over a smaller surface area.
Near the equator, the incoming solar radiation impacts the Earth's surface more directly (nearly perpendicular or closer to a 90° angle). Because the sun radiation is concentrated over a smaller surface area, it leads to warmer temperatures.
Why do areas close to the equator get hotter than those close to the poles?Since less surface area receives sunlight at the equator than at the poles, it warms up more quickly. Less atmosphere needs to be traveled through at the equator than at the poles.
As a result, the Earth's surface receives more solar heat. The variance in solar energy received at various latitudes affects atmospheric circulation.
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Complete Question -
How is the heat energy per area received from sunlight different at the equator than at the poles?
Find the slope of the line that passes through A (3, 7) and B (7, 10).
Answers
Answer:
\(m = \frac{10 - 7}{7 - 3} = \frac{3}{4} \)
We know the points (3, 7 ) and (7, 10 )
Slope formula is y2 - y1 over x2 - x1
Fill in the x and y values from given points
10 - 7 over 7 - 3
3 over 4 = 3/4 slope is your answer
Determine the total surface area and volume of each figure.
Answers
The total surface area of solid is,
S = 220 m²
And, The volume of the prism is, 200 m³
We have to given that;
A solid prism is shown in figure.
Since, The surface area of a prism is,
S = (2 × Base Area) + (Base perimeter × height)
Where, "S" is the surface area of the prism.
Hence, We get;
base area = 5 x 10 = 50 m²
height = 4 m
Base Perimeter = 2 (5 + 10) = 30
Hence, We get;
S = (2 x 50) + (30 x 4)
S = 100 + 120
S = 220 m²
Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;
V = base area × height.
Now, For given figure,
Volume of the prism = base area × height
base area = 5 x 10 = 50 m²
height = 4 m
Hence, Volume = 50 × 4 m³
= 200 m³
Thus, The volume of the prism is, 200 m³
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Slope = -6; passes through (-4, 1) write a linear equation in slope intercept form with the given information
Answers
Answer: The Slope Intercept form is y=-6x-23
The linear equation in slope intercept form will be y = -6x - 23.
What is an equation of a line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line is given as below:-
y = mx + c
Here, m is the slope of the line and c is the intercept of the line.
Given that the slope of the line is -6 and the line passes through the point (-4, 1). The equation of the line will be calculated as below:-
y = -6x + c
1 = ( -6 x -4 ) + c
c = 1 - 24
c = -23
Write the equation now:-
y = mx + c
y = -6x - 23
Therefore, the linear equation in slope intercept form will be y = -6x - 23.
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How are the lizard and the spider part of the same food web??
Answers
Answer: plant → grasshopper → spider → frog → lizard → fox → hawk.
This is just one food chain that shows the sider and the lizard in the same foodchain. The frog eats the spider, and the lizard eats the frog.
Step-by-step explanation:
Can somebody please help me out with this problem?
Answers
Answer:
a. -3
b. 324, -972, and 2,916
Step-by-step explanation:
a. Common ratio:
-108/36 = -3
36/-12 = -3
-12/4 = -3
Therefore, the common ratio = -3
b. To get the next three terms, multiply the each consecutive term by the common ratio.
Thus:
-108 × -3 = 324
324 × -3 = -972
-972 × -3 = 2,916
Therefore, the next three terms of the sequence are:
324, -972, and 2,916
PRECALC./TRIG QUESTION: The shaft on the pedal of a bicycle is 7 inches long and attaches to the bicycle 11 inches off of the ground. If the pedal starts in the standard (3.00) position, and rotates counterclockwise, write an equation that can model the height of the pedal off of the ground based on the number of radians that it has been rotated
Answers
The height of the pedal off the ground can be modeled by a cosine function
\(h(\theta)=\text{ 18 - 7}\cos (\theta+\frac{\pi}{2})\)Let, us try some scenarios, if the pedal is at the 3 oclock position, the angle = 0
h= 18-7cos90 = 18 - 0 = 18 inches.
If the pedal is at 12 oclock, the angle is pi/2 or 90 degrees, and
h= 18 - 7cos180 = 18+7 = 25 inches.
Consider the rectangle.
-
Which points could be the vertices of the image of the rectangle after it is dilated from the origin by a scale factor of 3? Select all that apply.
(0,5)
(0, 12)
(6,9)
(6,0)
(9, 4)
(9, 12)
Answers
Given:
The graph of a rectangle.
The given rectangle is dilated from the origin by a scale factor of 3.
To find:
The vertices of the image of the rectangle after the dilation.
Solution:
From the given graph it is clear that the vertices of the rectangle are A(0,2), B(0,4), C(3,4) and D(3,2).
If a figure is dilated from the origin by a scale factor of 3, then
\((x,y)\to (3x,3y)\)
Using this rule, the vertices of the image are:
\(A(0,2)\to A'(3(0),3(2))\)
\(A(0,2)\to A'(0,6)\)
Similarly,
\(B(0,4)\to B'(3(0),3(4))\)
\(B(0,4)\to B'(0,12)\)
And,
\(C(3,4)\to C'(3(3),3(4))\)
\(C(3,4)\to C'(9,12)\)
And,
\(D(3,2)\to D'(3(3),3(2))\)
\(D(3,2)\to D'(9,6)\)
The vertices of the image after dilation are (0,6), (0,12), (9,12), (9,6).
Therefore, the correct options are B and F.
tìm x biết rằng 2x - 4 = 5
Answers
Answer:
start by adding 4 to the other side. Now you have 2x=9. Now in order to get x by itself you divide and get x=9/2.
Answer:
The answer is \(\frac{9}{2}\)
Step-by-step explanation:
\(2x-4=5\\2x=5+4\\x=\frac{9}{2}\)
simplify [Xn (X'nY)]'.
Answers
Answer:
(X'U'Y) + (XUY')
Step-by-step explanation:
Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:
[Xn(X'nY)]' = (Xn)' + (X'nY)'
Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:
(Xn)' + (X'nY)' = (X'U'Y) + (XUY')
where U represents the logical operator "or".
Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').
16.9 and 1.7 and 0.17 and 2.0 rounded up to the nearest whole number
Answers
Answer:
17, 2, 0, 2
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
16.9 + 1.7 + 0.17 + 2.0 = 20.77 rounded to the nearest whole number is 21.
tolong bantu jawab please, makasih sebelumnya!
Answers
Answer:
2x² - 3x - 2
Explain:
Use the FOIL method: (a +b)(c +d) = ac + ad +bc +bd.
2x² + x - 4x - 2
Collect like terms.
2x² + (x - 4x) - 2
Simplify.
2x² - 3x - 2
At a family reunion, there only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and Grandparents were in attendance?
Applying the Solution to a 3X3 System
Show up all steps please
Answers
our equation now looks like
y = 2z, x=y+50 and xty+z= 400.
× = 190
y= 140
z= 70
Please help me answer this question, thanks!
Answers
The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.
To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.
The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.
The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.
In this case, a = -A and b = 250. Plugging in these values, we get:
x = -250 / (2 * (-A))
= 125 / A
To find the maximum revenue, we substitute this value of x into the revenue equation:
R = -A * (125 / A)^2 + 250 * (125 / A)
= -A * (15625 / A^2) + (31250 / A)
= -15625 / A + 31250 / A
= 15625 / A
The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.
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Select all the correct answers. What are the solutions to this equation? -7+(x^2-19)^3/4=20
Answers
Answer:
\( \huge{x = 10 , x = -10} \)
Step-by-step explanation:
\( - 7 + ({x}^{2} - 19) {}^{ \frac{3}{4} } = 20\)
Adid 7 to both sides
\( - 7 + ({x}^{2} - 19) {}^{ \frac{3}{4} } + 7 = 20 + 7\)
Simplify
\( ({x}^{2} - 19) {}^{ \frac{3}{4} } = 27\)
take both sides of the equation to the power of 4
\( ({x}^{2} - 19) {}^{ 3 } = 531441\)
\( {x}^{2} - 19 = ∛531441 \)
\( {x}^{2} - 19 + 19 = ∛531441 + 19 \)
\( {x}^{2} = 100 \)
x = \( \sqrt{100} \) or x = - \( \sqrt{100} \)
x = 10 or x = -10
1.25 is closer to 1.04 or not ?
plz heelp
Answers
Answer:
Yes it is
Explanation:
If you check the number line youll see
NO LINKS!! URGENT HELP PLEASE!!!
Please help me with Growth rate and Initial Value only
Answers
Answer:
growth rate: 4
y-value: 19
equation: y=4x+19
Step-by-step explanation:
Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.
For the question:
The change in y-values is 11-7=4,
and the change in x-values is +1.
Therefore, the growth rate is 4.
\(\hrulefill\)
Initial Value: The initial value of a linear function is the value of the function when x is 0.
In this case, the initial value is 19.
This can be found by looking at the y-value of the point where x is 0.
In this case, the y-value is 19.
\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Using the table you provided, we can find the slope by using two points on the line.
Let’s use (-3, 7) and (1, 23).
The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4
Now,
Taking 1 point (-3,7) and slope 4.
we can find the equation by using formula:
y-y1=m(x-x1)
y-7=4(x+3)
y=4x+12+7
y=4x+19
Therefore, the equation of the given table is y=4x+19\(\hrulefill\)
Answer:
Growth rate: 4
Initial value: 19
Equation: y = 4x + 19
Step-by-step explanation:
The slope of a linear function represents its growth rate.
Therefore, the growth rate of a linear function can be found using the slope formula.
Substitute two (x, y) points from the table into the slope formula, and solve for m. Substituting points (0, 19) and (1, 23):
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)
Therefore, the growth rate of the linear function is 4.
The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.
From inspection of the given table, y = 19 when x = 0.
Therefore, the initial value of the linear function is 19.
To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.
As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:
\(\boxed{y=4x+19}\)
Based on the density graph below, what is the probability of a value in the
sample space being anywhere from 20 to 25?
A 20%
B. 80%
C. 409
D. 60%
Answers
Answer:
60
uduududixkxjxxxisisidgshedhi
Answer:
20%
Step-by-step explanation:
took the quiz
Felipe rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 86 cents for each mile driven. Felipe had to pay $270.79 when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
421.4 miles
Step-by-step explanation:
Numner of miles= ($270.79-$17.95)/86 cents
= $252.84/$0.60
=421.4 miles
Write y=x^2−6x+4 in vertex form. Then identify the vertex.
Answers
64
Step-by-step explanation:
need help with this
Answers
Answer:
B. {2, 4, 6, 8}
Một người gửi tiết kiệm tại ngân hàng một
số tiền là 150 triệu đồng vào đầu mỗi năm theo thể thức lãi kép kỳ hạn một năm
với lãi suất cố định 8%/ năm.
a) Hỏi sau 5 năm, số tiền gốc cộng lãi mà người đó nhận được là bao nhiêu ?
b) Hỏi sau bao nhiêu năm thì tổng số tiền nhận được lần đầu vượt quá 1,5 tỷ đồng
Answers
Answer:
a)220399212
b)448
Step-by-step explanation:
What are the factors of the mathematical expression 24p-27p²
Answers
Answer:
1expn=3p
2expn=8-9p
3p(8-9p)
Urgent giving Brainliest
Answers
Answer:
Step-by-step explanation:
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I answered it here.
The Oldest rocks on Earth are about 4 x 10^9 years old. For which of these ages could this be an approximation?
A. 3,862,100,000 years
B. 3.849999999x10^9 years
C. 0.000000004 years
D.4,149,000,000 years
E.3.45x10^9 years
Answers
4149000000 is the approximation age of oldest rock. The precise amount is not known with certainty. Similar to proximity or approximately, the word "approximation" is derived from the Latin Proximus, which meaning "nearest."
What is approximation age?The precise amount is not known with certainty. Similar to proximity or approximately, the word "approximation" is derived from the Latin Proximus, which meaning "nearest." The closest estimate you can make without knowing something's exact size or measurement is called an approximation.
Despite the fact that approximation is most usually used in relation to numbers, it is also regularly used in relation to mathematical functions, forms, and physical laws. In science, the term "approximation" can refer to using a less complex method or model when the proper one is challenging to use.
For this, sampling techniques like Markov chain Monte Carlo and significance sampling as well as variationally methods like mean-field approximations and assumed density filtering have been used.
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The median of the data 8, 5, 7, 4, 6 is
Answers
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number. If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.