Standard deviation of the numbers is 16.154.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given observations are
77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86
Average or mean of the data is
x=Sum of n values/ Total number of values
x=1432/20=71.6
The Standard deviation of the data is
[tex]\sigma=\sqrt{\frac{\sum(x-mean)^{2}}{n} }[/tex]
=√5218.8/20
=√260.94
=16.154
Hence, standard deviation of the numbers is 16.154.
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Find the height of the building below by using your knowledge of trigonometry.
Answer:
50[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The figure represents a 30-60-90 special triangle
in this special right triangle the measure of sides lengths is represented by
a, a[tex]\sqrt{3}[/tex], and 2a
The side length that sees angle measure 30 is represented by a and here we see a = 50m
The height of the building, which sees angle measure 60, is equal to
50[tex]\sqrt{3}[/tex]
1 6. ) b) The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its weight on moon? Plzz help me
Answer:
Solution given:
weight of moon=1/6 th of Earth
If weight of Earth is 18/5 kg
weight of moon=?
we have
weight of moon: 1/6 of weight of Earth
=1/6*18/5
=3/5kg
Its weight on moon is 3/5 kg
What is the equation of the line that passes through the point (8,-4) and has a slope of 3?
Answer: The equation of a line that passes through the point (8,-4) and has a slope of 3 is y = 3x - 28.
Explanation:
y = -4, x = 8
By putting above values in equation (i)
-4 = 3 (8) + b
-4 = 24 + b
-28 = b
b = -28
y = 3x - 28
What do I need to know?
I need help on this question please
Answer:
i cant see the Q
Step-by-step explanation:
Haseena bought 1 pencil box, 4 pencils and 4 notebooks from a store. She paid Rs. 95 in all. Some ink fell on the bill that she got from the store. So the price of 1 notebook cannot be seen from the bill.What is the price of the one notebook?
The price of the one notebook will be Rs. 10.6
Let the price of one notebook be x.If Haseena bought 1 pencil box, 4 pencils and 4 notebooks from a store, with a total of Rs. 95 paid in all, then;
1x + 4x + 4x = 95
9x = 95
x = 95/9
x = 10. 6
Hence the price of the one notebook will be Rs. 10.6
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Emily is eating her colored candies in the following pattern: one green, one blue, one red , one orange, one brown, one green, one blue, and so on. If this pattern continues, the 27 candy she eats will be what color?
Answer:
blue
Step-by-step explanation:
a b c d e
1 2 3 4 5
27-25=2
so b, or blue
please help I give you 30 points
Answer:
The last one, 14 3/4
Step-by-step explanation:
I hope this helped :)
a) 9 b) 10 c) 12 d) 15
will give brainliest plz help
[tex]y = \frac{x}{2} [/tex]
[tex]2x + 2y = \sqrt{180} \\ = > 2x + 2( \frac{x}{2} ) = \sqrt{180} \\ = > 2x + x = \sqrt{2 \times 2 \times 3 \times 3 \times 5} \\ = > 3x = 2 \times 3\sqrt{5} \\ = > 3x = 6 \sqrt{5} \\ = > x = \frac{6 \sqrt{5} }{3} \\ = > x = 2 \sqrt{5} [/tex]
[tex]x.y \\ = x \times \frac{x}{2} \\ = \frac{ {x}^{2} }{2} \\ = \frac{ {(2 \sqrt{5} )}^{2} }{2} \\ = \frac{4 \times 5}{2} \\ = \frac{20}{2} \\ = 10[/tex]
Answer:
10
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
b
Step-by-step explanation:
Given
2x + 2y = [tex]\sqrt{180}[/tex] = [tex]\sqrt{36(5)}[/tex] = 6[tex]\sqrt{5}[/tex]
and y = [tex]\frac{x}{2}[/tex] , then
2x + (2 × [tex]\frac{x}{2}[/tex] ) = 6[tex]\sqrt{5}[/tex]
2x + x = 6[tex]\sqrt{5}[/tex]
3x = 6[tex]\sqrt{5}[/tex] ( divide both sides by 3 )
x = 2[tex]\sqrt{5}[/tex]
and y = [tex]\frac{2\sqrt{5} }{2}[/tex] = [tex]\sqrt{5}[/tex]
Then
xy = 2[tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 2 × 5 = 10 → b
Help me solve these
Answer:
hello you need to tell me the equation not the worksheet
Step-by-step explanation:
The cost of 2.25
pounds of grapes is
$6.75. The cost of 5
pounds of grapes is
$15. Find the slope in
dollars per pound.
Answer:
Hope this helps! <3
Step-by-step explanation:
The slope or increase in cost per pound is 3. (1 pound of grapes costs $3)
Could someone help. Please show work
Answer:
x=-2 and y=5
x=-1 and y=4
Step-by-step explanation:
hope tha work
Identify the slope and y-intercept of the function y = –8x + 1. A. The slope is 8. The y-intercept is (0, 1). B. The slope is –8. The y-intercept is (0, 1). C.The slope is 1. The y-intercept is (0, 8). D. The slope is 1. The y-intercept is (0, –8).
Answer:
b
Step-by-step explanation:
-8 Is the slope and yintecept is 0,1
An item is regularly priced at $35. It is now priced at a discount of 55% off the regular price. What is the new price?
I need help with this
Answer:
a and b
Step-by-step explanation:
Simplify the expression:
10v + -5 + 7
Answer:
10v + 2
Step-by-step explanation:
Answer:
10v + 2
Step-by-step explanation:
Ok, so when were adding varibles, whenever theres the same varible, we add them. In this case we have v and numbers. -5+7 is 2 because -5 and positive 5 cancel eachother out so were left with 2 from the 7. now the equation is 10v+2!
Giải phương trình: 2x + x + 12 =0
Answer:
x = - 4
Step-by-step explanation:
Or 3x +12=0
write the ratio as a fraction in simple form 14 boxes:8 boxes
A box has 30 pencils in it.the probability of picking a red pencil is 1/6.How many red pencils are in the box
Answer:
[tex]\huge\boxed{\sf 5\ red\ pencils}[/tex]
Step-by-step explanation:
Total pencils = 30
Probability of picking a red = 1/6
Red pencils in the box = probability × total pencils
= 1/6 × 30
= 5 red pencils
So, there are 5 red pencils in the box.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807What is the length of EF in the right triangle below?
Answer:
A.24
Step-by-step explanation:
EF=√(25)²-(7)²
EF=√625-49
EF=√576=24
Which is the graph of 2x + 3y > -3
Graph: C
(5a^3-2)(5a^3+2) expand and combine like terms
Step-by-step explanation:
(5a³-2)(5a³+2)
5a³×5a³+ 5a³×2 - 2× 5a³+ 5a³×2 5a³+10a³- 10a³ + 10a³5a³+10a³ + 10a³-10a³15a³ AnswerSTUDY
1. Simplify the expression below
5p + 14p
4(x - 2) + 6x
2. Evaluate
Answer:
(11)(B) Simplify numeric and algebraic expressions using the laws of exponents, including integral ... Evaluate the expression for d = -2, d = 0, and d = 1.
Step-by-step explanation:
Answer:
5p + 14p= 19p
4 (x-2)+6x
4x-8+6x
10x-8
school X and school Y had a competition, school X had 8 more points than Y. school X has 3 times as many points as school Y. how many points does each school have?
Answer:
the answer is X=12 Y=4
Step-by-step explanation:
X is 3 times the amount of Y and also 8 more. 4x3=12 and 12 is 8 bigger than 4
an arrow is shot vertically upward from a platform 18ft high at a rate of 184ft/sec. When will the arrow hit the ground? Use the formula: h=−16t2+v0t+h0. (Round your answer to the nearest tenth.)
Answer:
h(t) = -16t2 + 184t + 18
at the ground h = 0
hence; -16t2 + 184t + 18 = 0
solving this quadratic equation using the quadratic formula ; a = -16, b = 184, c = 18 ; x = (-b +-(b2 - 4ac)1/2)/2a
gives t = 11.597 seconds and rounded to the nearest tenth, t = 11.6 (note that the negative root has no practical significance)
Step-by-step explanation:
the graph of the function f is shown above. what is limx→2f(x)
The value of y as x tends to 2 is infinity since the curve progresses to infinity at this point that is [tex]\lim_{x \to 2} f(x) = \infty[/tex]
Find the graph attached. From the graph, we can see that the range of the function is the values along the y-axis and is from the minimum point on the curve (y = -2) to infinity
The range of the given graph in interval notation will be expressed as R = 2≤y<∞ or y ≥ 2. Note that 2 is included since the circle on the value of 2 is shaded.From the graph, we can deduce that the value of y as x tends to 2 is infinity since the curve progresses to infinity at this point.
Therefore we can conclude that [tex]\lim_{x \to 2} f(x) = \infty[/tex]
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$800 at 9% per year for 1 year
Answer:
The answer should be 72.
Step-by-step explanation:
You're finding the interest earned. I = Prt, I for simple interest, P for principal, r for rate, and t for time.
Substitute p for $800, r for 9%, and t for is 1 year.
You would multiply these three numbers together.
$800(0.09)(1) should give you 72.
A restaurant customer left $2.60 as a tip. The tax 6% was and the tip was 20% of the cost including tax.
a. Which information is not needed to compute the bill after tax and tip?
b. What was the total bill?
Based on the tip left and its proportion of the total bill, the following answers are true:
a. The tax rate is not needed to compute the after tax and tip bill b. The total bill is $13.00A tip of $2.60 was left and this is said to be 20% of the bill including the tax.
The total bill is therefore:
Tip = Total bill x 20%
2.60 = Total bill x 20%
Total bill = 2.60 / 20%
= $13.00
We can see that the tax rate was not needed to compute the total bill.
In conclusion, the tax rate was irrelevant and the total bill was $13.00.
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Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below: Rectangles ABCD and A prime B prime C prime and D prime are shown. A is at negative 1, 2. B is at negative 1, 5. C is at negative 3, 5. D is at negative 3, 2. A prime is at 2, 1. B prime is at 5, 1. C prime is at 5, 3. D prime is at 2, 3. What transformation did Kim perform to create rectangle A'B'C'D'? Rotation of 270 degrees counterclockwise about the origin Reflection across the line of symmetry of the figure Reflection across the yâ€axis Rotation of 90 degrees counterclockwise about the origin.
Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin'' and it can be determined by using the rules of transformation.
Given that,Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:
Rectangles ABCD and A prime B prime C prime and D prime are shown.
We have to determine,What transformation did Kim perform to create rectangle A'B'C'D'?
According to the question,Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:
Rectangles ABCD and A prime B prime C prime and D prime are shown.
Transformation involves changing the position of the given shape.
The transformation on rectangle ABCD to A'B'C'D' is (a) rotation of 270 degrees counterclockwise.The coordinates of ABCD are given as:A (1, -2),
B (-1, 5)
C (-3, 5)
D (-3, 2)
The coordinates of A'B'C'D' are given as:A (2, 1),
B (5, 1)
C (5, 3)
D (2, 3)
The transformation from ABCD to A'B'C'D is 270 degrees counterclockwise about the origin.
And the proof is as follows.
The rule of 270 degrees counterclockwise about the origin is:
The given coordinates;
A (2, 1) - (-1, 2)
B (5, 1) - (-1, 5)
C (5, 3) - (-3, 5)
D (2, 3) - (-3, 2)
Hence, Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin''.
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In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)
(solve using substitution method. MUST SHOW WORK)
There are 23 sharks and 7 octopi in the aquarium
Let the number of sharks in the aquarium be xLet the number of octopi in the tank be y
If the total number of animals in the tank is 30, therefore;
x + y = 30 ....................... 1If the total number of legs in the tank is 171 with starfish having 5 legs and Octopus having 8 legs, the required expression will be:
5x + 8y = 171 ................ 2From equation 1, x = 30 - y ................... 3
Substitute equation 3 into 2 to have:
5(30-y) + 8y = 171
150 - 5y + 8y = 171
3y = 171 - 150
3y = 21
y = 7
Recall that x = 30 - y
x = 30 - 7
x = 23
Hence there are 23 sharks and 7 octopi in the aquarium
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Given the graph below, write an equation in slope-intercept form.