Answer:
Step-by-step explanation:
First find the airithmatic mean
(-3-5+8+11+13)/5= 4.8
[tex]\frac{(-3-4.8)^2+(-5-4.8)^2+(8-4.8)^2+(11-4.8)^2+(13-4.8)^2}{5}= 54.56[/tex]
The variance of this population data set is 69.45.
How to find the variance of the set of data?To find the variance of the set of data we first need to calculate the mean of the set.
mean = sum of each element / number of elements
mean = (-3 -5 + 8 + 11 + 13)/5 = 3.8
Now, using the formula for variance
s² = (X - mean)²/ (n- 1)
s² = (-3 - 3.8)² + (-5 - 3.8)² + (8 - 3.8)² + (11 - 3.8)² + (13 - 3.8)² / (5- 1)
s² = 46.24 + 77.44 + 17.64 + 51.84 + 84.64 / 4
s² = 277.8/4
s² = 69.45
Hence, the variance of the data is 69.45.
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the mark obtained by six boys in a test are 20,25,15,30,28 and 16. Find the mean mark.
Answer:
22.3333333
Step-by-step explanation:
Mean = the sum of all of the numbers divided by the amount of numbers given. The sum (134) was divided by the number of numbers (6) to get 22.3333333. This is not 22 and 3 repeating, since my calculator would've rounded the last digit to 4.
Safe Combination. The author owns a safe in which he stores all of his great ideas for the
next edition of this book. The safe combination consists of four numbers between 0 and 99. If
another author breaks in and tries to steal these ideas, what is the probability that he or she will
get the correct combination on the first attempt? Assume that the numbers are randomly
selected. Given the number of possibilities, does it seem feasible to try opening the safe by
making random guesses for the combination?
Answer: 1/96059601
Don't break in
Step-by-step explanation:
First we need to find how many combinations there are.
We can find that by multiplying the four different number of options which in this case are all 99.
99 * 99 * 99 * 99
= 96059601
There are 96059601 different combinations and one correct combination.
So, the chance of them getting it is 1/96059601
It is definitely not a nice number so probably don't try and break in.
The governor of state A earns $51,615 more than the governor of state B. If the total of their salaries is $291,335, find the salaries of each.
Answer:
A = $171,475, B = $119,860
Step-by-step explanation:
A represents the salary of the governor of state A.
B represents the salary of the governor of state B.
A is $51615 larger than B, so you get the equation:
A = B + 51615
The total of the two salaries is $291335, so you can the second equation:
A + B = 291335
Using the first equation, substitute the quantity (B + 51615) for A in the second equation.
(B + 51615) + B = 291335
2B + 51615 = 291335
2B = 239720
B = 119860
Plug this value of B back into either of the equations.
A = B + 51615 = 119860 + 51615 = 171475
What is the range of the relation graphed below?
Answer:
a
Step-by-step explanation:
what is the slop of the line that passes through the points (-2,3) and (-14,-5)? write your answer in simplest form.
Answer:
2 / 3
Step-by-step explanation:
( x1, y1 ) = ( - 2, 3 )
Here,
x1 = - 2
y1 = 3
( x2, y2 ) = ( - 14, - 5 )
Here,
x2 = - 14
y2 = - 5
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope = ( - 5 - 3 ) / ( - 14 - ( - 2 ) )
= - 8 / ( - 14 + 2 )
= - 8 / - 12
Slope = 2 / 3
Please look at the picture for question.
Answer:
Step 1
Step-by-step explanation:
h/0.5 = 7
In step 1, he need to multiply 0.5 on both sides.
Instead, he divided 0.5 to 7 ( i.e ) 7/0.5, This is the mistake.
The correct solution,
Step 1 :
h/0.5 • 0.5 = 7 • 0.5
Step 2 :
h = 14
please help!!!
Graph the system of equations to find the solution. y = x - 2 y = 4 - x .
Find the surface area of the following cylinder.
Round your answer to the nearest square centimeter.
The surface area, to the nearest square centimeter, of the given cylinder is: 182 cm²
Recall:
Surface area of a cylinder = 2πrh + 2πr²From the diagram given, we have:
radius (r) = half of diameter = 10/2 = 5 cmheight (h) = 0.8 cmSubstitute each value into the surface area formula for a cylinder.
Thus:Surface area = 2(π)(5)(0.8) + 2(π)(5²)
Surface area = 182.212
Therefore, the surface area, to the nearest square centimeter, of the given cylinder is: 182 cm²
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How are congruent angles and congruent segments similar?
The width of a rectangle is 10 centimeters and the length of the rectangle is 17 centimeters. Which measurement is closest to the length of the diagonal of this rectangle in centimeters?
The measurement which is closest to the length of the diagonal of this rectangle in centimeters is; 20 centimetres.
The diagonal of the rectangle is the line which divides the rectangle into 2 right angled triangles.
In essence, the diagonal of the rectangle is the hypothenus of either of the triangles and can be evaluated as follows;
By Pythagoras;
Diagonal, D² = 17² + 10²D² = 289 + 100D² = 389D = √389D = 19.72 centimeters.D is approximately 20 centimetres.
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Johnny's home is m miles from school. Johnny runs to school at a speed of 8 mph and then walks home from school at half that speed. Suppose it take johnny 15 longer to walk to home than to run to school. Write an equation that shows this relationship.
Answer:
first we know the speed from home to school is 8mph and from school to home is half that speed so 4 miles per hour
now,
from home to school it takes: m/8 hours
and from school to home m/4 hours
we can pass it to minutes multiplying by 60
so:
from home to school it takes: m*7.5 minutes
and from school to home m*15 minutes
and now the relations between these two amount of minutes is that takes 15 more from school to home so:
7.5m+17
Step-by-step explanation:
PLEASE HELP IT IS DUE RIGHT NOW!!!
WILL MARK BRAINLIEST!!!!!
Answer:
(1,9)
Step-by-step explanation:
rhdufbfoehfjigvjf
I need help ASAP!! if you help me you will get 10 pts, and if you can please help explain!
Answer:
(a) 55
(b) 63
(c) 45
Step-by-step explanation:
All four angles in a rectangle are right angles, so ∠PMN is 90∘.
∠PMN+35∘=90∘
which is the same as saying
∠PMN=90∘−35∘.
Thus, ∠PMN=55∘.
and (b) is the same so:
∠STU is 90°
∠STU = 90° − 27°
∠STU = 63°
and for (c) each angle of a square measure 90°
∠DAB= 90° − 45°
∠DAB = 45°
the total cost for 6 mangoes and four apples is $46. Which equation represent this information?
Answer:
3x + 2y = 23
Step-by-step explanation:
mangoe = x
apple = y
6x + 4y = 46
divide them by 2
3x + 2y = 23
Choose ALL answers that describe the
quadrilateral EFGH if
mLE
=m/F
mLG
mLH, diagonal
EG bisects LE and LG, and diagonal FH
bisects LF and LH.
PLEASE HELP MEEEE!!!!!!!!!
Answer:
a) 1,144 rad/min
b) 182.1 rev/min
Step-by-step explanation:
d= 24 inches
radius = 24/2 or 12 inches
speed = 13mi/h
need to convert speed to inches/min
v = Θ * r
1 mile = 63360 inches, and 1 hour = 60 min
13 mi * (63360 in / mi)
= 823680 in / (1 hr * 60 min / hr)
=13728 in/min
Now go back to the equation
13728 in / min = ω * 12 in
13728 /12 = Θ
1,144 rad/min
b) 1 revolution = 2π
w= Θ/2π
w= 1,144rad/ min/2pi rad
w= 182.1 rev/min
Four pounds of apples cost $3.88. What is the price per pound?
Answer:
97 cents per pound
Step-by-step explanation:
3 dollars÷4=75 cents
88÷4 =22
75+22=97
How do you do this math
Answer: y = -3x - 6
Step-by-step explanation:
One way to write a linear equation is with slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope, and b is the y-intercept.
Thus, the equation is y = -3x - 6
Hope it helps :) and let me know if you are confused anywhere.
Answer:
y = -3x - 6
Step-by-step explanation:
Insert the information into the slope-intercept form equation:
y = mx + b
m = slopeb = y-intercept valueIn this instance, the slope is -3 and the y-intercept value is -6. Therefore, the equation of the line is y = -3x - 6
what would the answer be for:
2 −5−24.
with full steps.
An advertising agency increased their fees to an $80 setup fee plus $4 for every advertisement. Write a rule for the new fee. Write ordered pairs for the fees for 10, 20, 30, and 40 advertisements.
a. y = 80 + 4 + x
(120, 10), (160, 20), (200, 30), (240, 40)
b. y = 80 + 4x
(10, 120), (20, 160), (30, 200), (40, 240)
c. y = 80 + 4x
(120, 10), (160, 20), (200, 30), (240, 40)
d. y = 80 + 4 + x
(10, 120), (20, 160), (30, 200), (40, 240)
please help !!!!
Answer:
b.
Step-by-step explanation:
As it says there is already a set up fee of $80 and it is $4 FOR EVERY advertisement, the equation would be y = 80 + 4x. Obviously, y should be greater than x since you are calculating the cost and not anything else, so b should be your answer. Even without logically guessing, the equation proves that b is correct.
Hope this helped!
The table shows the heights of Sonya's siblings. Who is taller, Frieda or Julio?
Compare their heights using the symbol >. QUICK! LOOK AT PHOTO TO SEE THEIR HEIGHTS!
Answer:
Julio is taller
Step-by-step explanation:
5 5/6 > 5 1/4
Answer:
Julio
Step-by-step explanation:
Julio is taller because when you compare the fractions 5/6 is above 1/2 and 1/4 is not.
Solve the inequality 4x -2 ≥ 3x -2/5
Answer:
x ≥ [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
(If you need step-by-step please request)
What is the value of cosx/tanx ....
Answer:
Step-by-step explanation:
Hyp = √(3² + 4²) = 5
cosx = adj/hyp = 3/5
tanx = opp/adj = 4/3
3/5 / 4/3 = 3/5•3/4 = (3•3)/(5•4) = 9/20
Which values of k are solutions to the inequality?
k>12
Select each correct answer.
k = 11.9
k = 12.1
k = 13.0
k = 19.9
k = 10.2Which values of k are solutions to the inequality?
k>12
Select each correct answer.
k = 11.9
k = 12.1
k = 13.0
k = 19.9
k = 10.2
Answer: B. k = 12.1.
C. k = 13.0.
D. k = 19.9.
Step-by-step explanation: Which values of k are solutions to the inequality k>12 are B. k = 12.1 , C. k = 13.0 , and D. k = 19.9 because it literally says k>12 so every value of k that's solutions to the inequality k>12 have to be greater than 12. Due to this B. k = 12.1, C. k = 13.0, and D. k = 19.9 are the correct answer choices that you should choose and the incorrect answer choices that you shouldn't choose are A. k = 11.9, and E. k = 10.2 .
Answer:k + 13.0
Step-by-step explanation:
what is the important variable in the problem?
Gary had a pizza party for his friends 14 people showed up, and they had 50 pieces of pizza. How many pieces of pizza did each person have?
Answer:
3
Step-by-step explanation:
each friend would have 3 pizzas
Select all the correct locations on the number line.
Steve paid 10% tax on a purchase of $40. Select the dollar amount of the tax and the total dollar amount Steve paid on the number line.
Answer:
tax - $4
amount paid - $44
Step-by-step explanation:
tax = percent*original price
tax = 0.1*40
tax = 4
tax+original price = total amount paid
4+40=44
What is 2x123 divided by 2
Answer:
123
hope this helps!
mark brainliest please
Step-by-step explanation:
6 cups of cereal a serving size is 4/5 cup how many full servings can you make? How many is left over?
Answer:
i believe i have to multiply and i got 4 4/5
so 4 FULL servings and 4/5 cereal servings left over
PLEASE HELP 20 POINTS
What is the value of the expression 5(6/12-1/4) + 0.5
Answer:
5/8
Step-by-step explanation:
First you need to reduce the fractions then you choose a common denominator to calculate:6/12=1/2 then you see the you see 1/4 can be a common denominator so you equal 1/2 to the denominator by 4, which means multiplying 2 by both the numerator and denominator, we get 2/4 after that you add and subtract in parentheses and you will get 1/4 then you multiply by 5 to get 5/4 the finally you have to plus 0,5 you will get 7/4 done.
A pattern has 32 blue squares for every 35 purple squares. What is the ratio of blue squares to purple squares?
Answer:
32:35 is the ratio to your question.
Blue squares : Purple squares = 32 : 35
What is Ratio?Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
A pattern has 32 blue squares for every 35 purple squares.
∵ 32 Blue squares : 35 Purple squares
∴ Blue squares : Purple squares = 32 : 35
The ratio of blue squares to purple squares = 32 : 35
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