Answer:
i. Mean = 11.2
ii. Variance = 14.17
iii. Standard deviation = 3.76
Step-by-step explanation:
i. Mean, m = [tex]\frac{sum of the values}{number of the values}[/tex]
= [tex]\frac{4+11+12+12+13+15}{6}[/tex]
= [tex]\frac{67}{6}[/tex]
= 11.2
The mean of the given data is 11.2
ii. Variance = [tex]\frac{sum(x_{i} - m)^{2}}{n-1}[/tex]
where: [tex]x_{i}[/tex] is the value of the one observation, m is the sample mean and n is the number of data given.
= [tex]\frac{[(4-11.2)^{2}+(11-11.2)^{2} + (12-11.2)^{2} + (12-11.2)^{2} + (13-11.2)^{2} + (15-11.2)^{2}] }{6-1}[/tex]
= [tex]\frac{[51.84+0.04+0.64+0.64+3.24+14.44]}{5}[/tex]
= [tex]\frac{70.84}{5}[/tex]
= 14.168
Variance = 14.17
iii. Standard deviation = [tex]\sqrt{Variance}[/tex]
= [tex]\sqrt{14.17}[/tex]
= 3.76
simplify within parenthesis
Answer:
First Space: 49
Second Space: 33
Third Space:-99
Fourth Space: -99
Fifth Space: 10
Sixth Space: -89
Step-by-step explanation:
First Space: for the first space you would do -7 times -7 because it is squared so you would get 49 because a negative and a negative and a negative make a positive.
Second Space: For the second space you have to do 49-16 because you already found the first space and the answer would be 33.
Third Space: For the third space you would do the answer you got from the second space which is 33 and multiply by -3 because -3 is outside the brackets. The answer would be -99.
Fourth Space: You would just put the same thing as the third space and put -99.
Fifth space: To find the fifth space you have to do 4 ÷ 2/5. To find this part you have to do 4 times the reciprocal (when you flip the fraction) and you would get 4 times 5/2. Then you can cross the denominator (bottom of the fraction) and make the 4 a 2 because 4 ÷ 2=2. Next you do 2 times 5 and get 10 as a answer.
Sixth Space: For the final answer you would use the fourth and fifth space. You would do -99+10 which is -89.
Hopefully this helps :)
Matteo spends a total of 38 min exercising. He walks for 6 min to warm up and then runs at a constant rate of 8 min per mile for the rest of the time. Matteo says that he ran 4.75 mi. Is he correct?
Answer:
No, he not correct because he only ran 4 mi
Step-by-step explanation:
If he walks for 6 min out of the 38 min, then he ran for 32 min.
d = rt 1 mi = 8r
r = 1/8 = 1 mi/8 min Since he ran 32 min we have
d = 1/8(32) = 4 mi.
No, he not correct because he only ran 4 mi
Can you help me pls ¿?
Answer:
Step-by-step explanation:
can someone help me with geometry
whats the question then?
The radius of a circle is 13 feet. What is the circle's area?
Use 3.14 for pi.pleeeaaase heelpp!!
Answer:
answer is 530.66 hope this helps!
13×13=169
169×3.14=530.66
Answer:
I don't know if this is the answer but I got 530.66
Step-by-step explanation: the formula is A=pi r squared
you multiply 13 twice because in the formula you have to square the radius then you have to multiply what you get in this case 169 then you multiply it by pi which is 3.14 by 169 and you get 530.66 hopefully it is right let me know and if so brainliest please:)
A cylinder has a radius of 40ft and height of 17ft. What is the exact surface area of the cylinder?
A. 1360ft^2
B. 3200ft^2
C. 4560ft^2
D. 680ft^2
$22.00+$14.00=
answer this
Answer:
$36
Step-by-step explanation:
22+14=36
(x2+3x+2)+(3x2–x+1) Use algebra to find the sum
Answer: -2x²+2x+3
Step-by-step explanation:
Factoring -2x2+2x+3
The first term is, -2x2 its coefficient is -2 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is +3
Step-1 : Multiply the coefficient of the first term by the constant -2 • 3 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is 2 .
-6 + 1 = -5
-3 + 2 = -1
-2 + 3 = 1
-1 + 6 = 5
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
help me please fast i’m in need
Answer:
es la
A
Step-by-step explanation:
-5c-15=-35 all I really want is what -5c equals to and what c equals too
Answer: c=4
Step-by-step explanation:
Add 15 on each side to get rid of the -15 on the left side.That results in getting: -5c=-20. That would be the answer for what -5c equals.To find what c equals, we must divide by -5 on each side. Thus, c=4.If we plug it in, it works, so we know the answer is correct.In the diagram, DEC is a
of ABC across line m.
A. rotation
B. glide reflection
C. translation
D. reflection
Step-by-step explanation:
This is a reflection. A reflection is a transformation involving two shapes looking the same by "bouncing it off a line without coming back.( meaning a reflection goes some where else not to it original poistion.)
Others reason why Why?
Line m is perpendicular to Line c.
B and E are equidistant from c that BC=CE.
Why the others are wrong.
While you could rotate this triangle 180 degrees, the transformation occurs about a line not a point. So using a rotation is wrong.
A translation doesnt occur about a line.
A guide reflection doesnt work since the transformations are already mapped correctly if you do the reflection. It doesnt need a translation.
help fast please k it dued today
Answer:
1. -72
2. -66
Step-by-step explanation:
Hope this helps you :)
The rectangle has a length of 3x + 4 and a width of 5x - 6. What is the area of the rectangle.
Use the form ax2 + bx + c to enter your answer.
Denine sees a 2.8-kilo block of cheese.
If there are 2.2 pounds in 1 kilogram (kilo), what is the weight of the block of cheese in pounds?
Answer:
1.27
Step-by-step explanation:
2\times 3x\times y\times 4z\times 2x\times y\times z
Step-by-step explanation:
48{x}^{2} {y}^{2} {z}^{2}
Answer:
[tex]48x^2y^2z^2[/tex]
Step-by-step explanation:
[tex]2 \times 3x \times y \times 4z \times 2x \times y \times z[/tex]
[tex]=> 2 \times (3x \times 2x) \times (y \times y) \times (4z \times z)[/tex]
[tex]=> 2 \times 6x^2 \times y^2 \times 4z^2[/tex]
[tex]=> 48x^2y^2z^2[/tex]
The ordered pair(2,-3) is a solution to which of the following inequalities?
a. y-2x>-5
b. y ≥-2x+2
c. 4y+2x≤-1
d. y<3x-9
Answer:
pretty sure it is 4y+2x<_-1
Answer:
C
Step-by-step explanation:
y-2x>-5 : (2,-3) is not a solution to this equation
y> -2x+2 : (2,-3) is not a solution to this equation
4y+2x< -1 : (2,-3) is a solution to this equation
Sofia rides her bike at a constant speed.
Sofia plots points on the coordinate plane below to show amounts of time it takes her to bike certain distances.
Which of the following ordered pairs could Sofia add to the graph?
Answer:
Its up then to the left power is 13 so (98-=) is the 4
Step-by-step explanation:
It works because if you use the electron theory by leonard jefford then it will be 98-74wis the 4 to the 13
Answer:
Step-by-step explanation:
its c
(6,60)
Determine whether a triangle with the given side lengths is a right triangle: 8 cm, 10 cm, 12 cm
When you draw the shape out you dont get a triangle
Yogurt cups have a regular selling price of $0.55 each. The grocery store is
having a sale and all yogurt cups are 3 for $1. What is the markdown on a
single cup if you take advantage of the sale?
Answer:0.65$
Step-by-step explanation:
If there was no discount, the yogurt would be 1.65$
PLEASE HELP ME! I AM STUCK AND THIS IS DUE IN 5 MINUTES! I WILL MARK BRAINIEST!!
5. Michel wants to buy his mother handmade chocolates for Mother’s Day. He has $15.00 to spend. The price of each type of chocolate is given below.
Fudge centres: $0.60 Nut clusters: $0.75 Truffles: $0.80
Michel has $15.00. How many of each type of chocolate can he buy if buys only one type? Show your work. *Hint: create an equation for each type*
Fudge centres: Nut clusters: Truffles:
Michel decides to buy all three types of chocolates, instead of choosing just one type. If Michel buys the same number of all three types, how many can he buy and stay within his budget? Show your work
Answer:
25 fudge centres, 20 nut clusters, 18 truffles, 6 of each type of chocolate
Step-by-step explanation:
Michel has a total of $15.00
So, if he only has to buy one type, we just divide the total amount by the price, like this:
[tex]\frac{15.00}{0.60}[/tex] = 25 fudge centres
[tex]\frac{15.00}{0.75}[/tex] = 20 nut clusters
[tex]\frac{15.00}{0.80}[/tex] = 18.75, so we round down = 18 truffles
If he buys the same of number of each type, we know that:
0.60x + 0.75x + 0.80x ≤ $15.00
2.15x ≤ 15.00
x ≤ 6.977...
This means that Michel can only buy 6 of each type of chocolate.
Answer:
If he buys only one type, he can buy 25 fudge centers OR 20 nut clusters OR 18 truffles.
The equations you can write to solve those are:
0.6f = 15
0.75n = 15
0.8t = 15
If he buys an equal number of each then
0.6f + 0.75n + 0.8t = 15
and
f = n = t
He can buy 6 of each without going over his budget.
PLSSSS HELP MEEEE I NEED TO TURN THIS IN BY THE END OF CLASS PLSSS SOMEONE HELP ME WITH THIS!!!!!!
Answer:
1) 10
2) 22
3) 28
4) 17.5
5) 22
6) 13.5
7) 19.5
8) 11
9) 7.5
A number cube is tossed and the spinner below is spun. Find P(3 and C).
Answer:
[tex]P(3\ and\ C) = \frac{1}{24}[/tex]
Step-by-step explanation:
Given
Cube and Spinner (See attachment for spinner)
Required
Find P(3 and C)
In the attached spinner, there are 8 partitions and C = 2
So:
[tex]P(C) = \frac{2}{8}[/tex]
[tex]P(C) = \frac{1}{4}[/tex]
In a number cube, there are 6 faces and 1 side is 3.
So:
[tex]P(3) = \frac{1}{6}[/tex]
P(3 and C) is calculated as:
[tex]P(3\ and\ C) = P(3) * P(C)[/tex]
[tex]P(3\ and\ C) = \frac{1}{6} * \frac{1}{4}[/tex]
[tex]P(3\ and\ C) = \frac{1}{24}[/tex]
how to graph the absolute value of 2x-6 is less than 4 on a number line
Answer:
can u help me on my question please pleasee
30 POINTS!!! PLEASE ANSWER!
In the figure, lines a, b, and c are parallel and m∠4=48°.
Drag and drop the correct angle measure for each angle.
42 degrees, 48 degrees, 132 degrees, 312 degrees
m∠1= ?
m∠2= ?
m∠3= ?
m∠5= ?
Lines a b and c are parallel and cut by a transversal. Angles 1 to 5 are labeled. Angle 1 is above line a to the left of the transversal. Angle 2 is below line a to the left of the transversal. Angle 3 is above line b to the right of the transversal. Angle 4 is below line b to the right of the transversal. Angle 5 is below line c to the right of the transversal.
m∠4=48°
m<1 = m∠4=48°
m<2 = 180 - 44 = 132
m<3 = m<2 = 132
m<5 = m∠4=48°
Find the measure of.. (Image included)
I'll take all the help I can get please :)
Answer:
[tex]\sf\Huge\boxed{C.40}[/tex]
Step-by-step explanation:
Hello There!
Remember: sum of interior angles of a triangle = 180
so to find x we use this equation
180 = 90 + 7x + 5 + 9x + 5 ( the little square in the triangle indicates that the angle is a right angle. right angles have a measure of 90 so that's where the 90 came from.)
now we solve for x
step 1 combine like terms
90 + 5 + 5 = 100
7x + 9x = 16x
now we have 180 = 16x + 100
step 2 subtract 100 from each side
180 - 100 = 80
100 - 100 cancels out
now we have 80 = 16x
step 3 divide each side by 16
80/16 = 5
16x/16=x
we're left with x = 5
Finally we plug in 5 into x for angle a
7(5)+5
7*5=35
35+5=40
so we can conclude that the measure of angle A is 40 degrees
The Martinez Family has driven 240 miles so far. Their total trip is 300 miles. What percentage of the trip have they already driven?
2) A circle has an area of 121 ñ cm. Find its circumference. (Round your answer to the
nearest tenth.).
Answer:
If the area is 121 cm the answer is 38.99 if its 12 cm then the answer is 12.28
Step-by-step explanation:
Im not sure if correct but i tried
Which beak is for tough,large,hard seeds plsssss help me
Landon used a semicircle, a rectangle and a right triangle to form the figure shown.
6 cm
4 cm
Which is the best estimate of the area of the figure in square centimeters?
10 cm
А.
. 44 cm²
B.
26 cm?
с
38 cm
D
52 cm
The side lengths 7, 10, 16 will form a triangle?
True or False
Answer:
true that you pretty but, dont date me bc i have a gf
Step-by-step explanation:
Answer:
true( I'm sowwie if this is wrong):(