Answer:
Mean = 10
Variance = 30.89
Standard Deviation = 5.56
Step-by-step explanation:
Find the Mean, Variance and Standard deviation
6, 14, 8, 2, 11, 7, 12, 4, 18, 18
Step 1
We rearrange the data and find the Mean
2, 4, 6, 7, 8, 11, 12, 14, 18, 18
Mean = Sum of values/Number of values
= 2 + 4+ 6+ 7+ 8 + 11 + 12 + 14 + 18 +18/10
= 100/10
= 10
Step 2
We find the variance of this sample days ma
Variance = (x - Mean)²/n - 1
n = 10
Hence,
=( (2 - 10)² +(4 - 10)²+ (6 - 10)²+ (7 - 10)² + (8 - 10)² + (11 - 10)² + (12 - 10)² + (14 - 10)² + (18 - 10)² +(18 - 10)²) /10 -1
= ( 64 + 36 + 16 + 9 + 4 + 1 + 4 + 16 + 64 +64)/9
= 278/9
= 30.88888889
Approximately = 30.89
Step 3
Standard Deviation = √Variance
= √30.89
= 5.5578772926
Approximately = 5.56
The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn’s orbital period is 29.5 years, what is its distance from the sun?
Answer:
9.54731702 astronomical units
Step-by-step explanation:
[tex]P=a^{\frac{3}{2} }[/tex]
Substitute this value in the equation above:
[tex]29.5=a^{\frac{3}{2} }[/tex]
⇒ [tex](29.5)^{\frac{3}{2} } =a[/tex]
⇒ [tex]a=9.54731702[/tex] [tex]astronomical[/tex] [tex]units[/tex]
Hence, its distance from the sun is 9.54731702 astronomical units.
Answer:
its a
Step-by-step explanation:
on edge 2022
The histogram shows the results of a survey asking students how many windows are in their homes. How many students have less than 10 windows in their homes. Enter your answer in the box. Help ASAP I will mark brainlest
Answer:.
Step-by-step explanation:
Answer:
10<10
Step-by-step explanation:
Based on the given conditions, formulate:10<10
Zara bought 2.4 pounds of grapes and a watermelon what cost $5.28. The total cost of the fruit was 7.32. Which describes a way to determine x, the price per pound for the grapes?
Answer:
The answer is B.
Step-by-step explanation:
7) y is inversely proportional to the square root of (x + 1).
When x = 8, y = 2. Find y when x= 99.
Someone please help!!!
9514 1404 393
Answer:
√26
Step-by-step explanation:
The distance formula can help you here.
[tex]\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(4-(-1))^2+(2-3)^2}=\sqrt{5^2+(-1)^2}=\sqrt{25+1}\\\\d=\sqrt{\boxed{26}}[/tex]
Please helppp!! I don't know how to do this
Answer:
(-2, -4)
Step-by-step explanation:
Start at point O which has coordinates (0, 0). Go 2 units left. Go 4 units down. Now you are at point I.
Answer: (-2, -4)
Convert r=8cosθ+2sinθ to rectangular equation
Answer:
Convert
r
=
8
cos
θ
−
2
sin
θ
to Cartesian form
#x^2 + y^2 - 8 x +2 y = 0, using
r
=
√
x
2
+
y
2
≥
0
and
(
x
,
y
)
=
r
(
cos
θ
,
sin
θ
)
.
The Socratic graph of this circle,
with center at
(
4
,
−
1
)
and radius
√
17
.
is immediate.
graph{(x^2+y^2-8x+2y)((x-4)^2+(y+1)^2-0.04)=0[-1 23 -6 6] }
On a math test, a group of children scored 25, 17, 21, 25, 23, 21, 27, 21, and 18 out of a total of 30. Find their median.
Answer:
21
Step-by-step explanation:
Place the values in ascending order like this:
17,18,21,21,21,23,25,25,27
Find the middle value:
21
So 21 is the median
Solve for x. Enter the solutions from least to greatest. 3x^2 – 33x + 54 = 0
lesser x =? greater x=?
Answer:
Step-by-step explanation:
3x² - 33x + 54 = 0
Divide the whole equation by 3
x²- 11x + 18 = 0
Sum = -11
Product = 18
Factors = -9 , -2 { - 9 + (-2) = -11 ; (-9) *(-2) = 18}
x² - 2x - 9x + -9 * -2 = 0
x(x - 2) - 9(x - 2) = 0
(x-2)(x-9) = 0
x - 2 = 0 ; x - 9 = 0
x = 2 ;x = 9
Lesser x = 2
greater x = 9
Answer:
lesser x = 2
greater x = 9
Step-by-step explanation:
3x² - 33x + 54 = 0
Divide both side of the equation by 3
x² - 11 x + 18 = 0
x² - 2x - 9x + 18 = 0
x ( x - 2 ) - 9 ( x - 2 ) = 0
( x - 9 ) ( x - 2) = 0
x - 2= 0 ; x - 9 = 0
solve for x
x = 2 ; x = 9
lesser x = 2
greater x = 9
Find the values of x,y, and z and the perimeter
Karl is making a pot of chili. The recipe calls for StartFraction 3 Over 8 EndFraction cup of chili powder, but Karl only wants to use half as much so it won’t be so spicy. How much chili powder should Karl use?
Answer:
3/16 or 3 over 16
Step-by-step explanation:
Find half of 3/8:
1/2x3/8 = 3/16
In a group of 20 students there are 12 boys and 8 girls 4 of the boys play on foot ball team what is the probability of choosing 1 student at random from the group who is not on football team
Answer:
There is a 1 in 5 chance. (1/5)
Express Cos K as a fraction in the simplest terms.
The correct value of Cos K is 5/23
Step-by-step explanation:
In a right angle triangle, there are 3 side
1. Hypothenus (this is the longest)
2. Adjacent
3. Opposite
However, we can only determine the adjacent and opposite if an angle is marked in the triangle.
Now, we shall determine the value of Cos K. This can be obtaineasobtain as followed:
From the question given above, the following data were obtained:
Hypothenus = 23
Adjacent = 5
Cos K =? C
The value of Cos K can be obtained by using the cosine ratio as as illustrated below:
[tex]Cos K =\frac{Adjacent}{Hypothenus}\\\\Cos K = \frac{5}{23}[/tex]
Therefore, the value of Cos K is 5/23
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Question 15 of 44
Which of the following arcs are congruent in the circle below
Use abc to find the trigonometric ratios. Enter your answer as fractions
Answer:
Tan <A = 4/3
Cos <A = 3/5
Sin <A = 4/5
Step-by-step explanation:
From the diagram given
Hypotenuse AB = 10
Adjacent = 6
Opposite = 8 (side facingc<A)
According to SOH CAH TOA
Tan <A = Opposite/adjacent
Tan <A = BC/AC
Tan <A = 8/6
Tan <A = 4/3
For Cos <A;
Cos <A = adj/hyp
Cos <A = 6/10
Cos <A = 3/5
For sin<A:
Sin <A = opp/hyp
Sin <A = 8/10
Sin <A = 4/5
Value of x? Complementary angles, easy.
Answer:
14 = x
Hope that this helps!
Question 4 of 12
Write a point-slope equation for the line that passes through the point (1, 22)
and is parallel to the line given by y = 14x-3. Do not use parenthesis on the y
side.
Answer:
y - 22 = 14(x - 1)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 14x - 3 ← is in slope- intercept form
with slope m = 14
Parallel lines have equal slopes
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 14 and (a, b) = (1, 22) , then
y - 22 = 14(x - 1)
The lateral area of a cylinder is 3,620 square inches. The radius is 9 inches. Describe the height of the cylinder in terms of inches.
Answer:
64.05 in
Step-by-step explanation:
Lateral surface area of a cylinder = 2πrh
π= 3.14
r = radius = 9
h = height
3620 = 2 x 3.14 x 9 x h
3620 = 56.52h
h = 3620 / 56.52
h = 64.05 in
Someone tell me what this question is
Answer:
Orange juice that is 3 dollars per 1 jug
Step-by-step explanation:
A unit rate is per 1 of an item
The only 1 that is per 1 of an item is
Orange juice that is 3 dollars per 1 jug
Answer:
❍ The cost of orange juice is $ 3 per 1 jug.
Step-by-step explanation:
Unit rate means second quantity is 1.For example :- 20 per 1 litre. where, first quantity is 20 and second quantity is 1 .So, The cost of orange juice is $ 3 per 1 jug is represent the unit rate.
Check whether the number 465798 is divisible by 9. Write the steps.
Answer:
No, the answer would be 51755.3 (repeating), so no.
Step-by-step explanation:
Find the value of x
please help
Answer:
It's 4+33-37 so that's the answer
1/8 pens are in a bag and is to be shared between 3 people . What fraction of pen should each person get?
Answer:
1/24
Step-by-step explanation:
1/8 divided 3/1
1/8 x 1/3=1/24
Sarah's gross income last month was £1260. She pays 20% tax on her gross income. How much tax did Sarah pay last month?
Answer:
£252
Step-by-step explanation:
20% of £1260 = £252
The surface area of a cube is S(x) = 6x?, where x is the length of the side of each edge of a cube, Restrict the domain to create a one-to-one
function. Find and describe the inverse function.
Answer:
Restrict values of x to . Then the surface area function is one-to-one and has an inverse.
Write y instead of S(x). Interchange x and y, then solve for y.
This function could be used to find the edge of a cube with a given surface area. For example, if the area is x = 54, then the edge is
Step-by-step explanation:
Suppose that many large samples were taken from a population and the sample proportion centered around 0.25 which of the following is most likely the population parameter
0.25
0.45
0.35
0.15
Answer:
0.25
Step-by-step explanation:
Hope it helps, sense it’s centered around 0.25 then the parameter would be 0.25
To It’s centered around 0.25 then the parameter would be 0.25.
We have given,
Suppose that many large samples were taken from a population and the sample proportion centered around 0.25
We have to determine which of the given is most likely the population parameter.
What is the center parameter in the large sample?
A sample means from any distribution. We could have a left-skewed or a right-skewed distribution.
To It’s centered around 0.25 then the parameter would be 0.25
Therefore option A(0.25) is correct
To It’s centered around 0.25 then the parameter would be 0.25.
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The number of lawns l that a volunteer can mow in a day varies inversely with the number of
shrubs s that need to be pruned that day. If the volunteer can prune 6 shrubs and mow 8
lawns in one day, then how many lawns can be mowed if there are only 3 shrubs to be
pruned?
Answer:
12
Step-by-step explanation:
divide 8 by 6
=1.333333333333
1.333333333333 times 9
=12
edsedsedsedsedseds HELP PLZ FAST
Answer:
12x + 300 = 450
Step-by-step explanation:
Overtime payment = $12/hWeekly income = $300Overtime hours = x
Equation:
12x + 300 = 450Which is a solution for the following system of inequalities?pls help :3
(0,5)
(0,-2)
(1,-1)
(0,0)
what is psychology?
Answer:
the scientific study of the human mind and its functions, especially those affecting behaviour in a given context.
Answer:
the scientific study of the human mind and its functions, especially those affecting behaviour in a given context.
Step-by-step explanation:
The equation of the graphed line is 2x – 3y = 12.
What is the x-intercept of the graph?
14
7
6
6-
5
4.
02
o 0를
31
N
6
1
5-4-3-2-14
1 2 3 4 6 1 x
-2 -3 5
Answer: 6
Step-by-step explanation:
The x-intercept of the given graph is 6.
What is x-intercept?The x intercept for any curve is the value of the x coordinate of the point where the graph cuts the x-axis.
The x-intercept is the point at which the graph of an equation crosses the x-axis.
The intercept of a line is the point on a graph where the line crosses an axis
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. Thinking about intercepts helps us graph linear equations.
Given is an equation of a line, 2x-3y = 12, we need to find x-intercept of the graph,
To find the x-intercept of the graph, just put y = 0 in the equation given,
2x-3y = 12, when y = 0
2x = 12
x = 6
Hence, the x-intercept of the given graph is 6.
Learn more about x-intercept click;
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