The pooled variance of the samples estimates the weighted variance of the samples
The pooled variance is 2952
How to calculate the pooled variance?The given parameters are:
Sample 1:n = 7
ss = 60
Sample 2:n = 7
ss = 48
The pooled variance is calculated using:
Sp = [SS1^2 *(n1 - 1) + SS2^2 *(n2 - 1)]/[(n1 - 1) + (n2 - 1)]
So, we have:
Sp = [60^2 *(7 - 1) + 48^2 *(7 - 1)]/[(7 - 1) + (7 - 1)]
Evaluate the expression
Sp = 2952
Hence, the pooled variance is 2952
Read more about pooled variance at:
https://brainly.com/question/24249795
A farmer needs to construct a square fence with an area of 121 square feet to hold farm animals. how long does each side of the fence have to be to fulfill his 121 square foot requirement?
Answer:
The side length of the square is 11 feet.
Step-by-step explanation:
Let S = side length
Let A = area
[tex]A = S^{2}\\121 = S^{2}\\\sqrt{121} =\sqrt{S^{2} } \\S = 11[/tex]
The speed of light is 299,792.458 .
Which of the following would be a reasonable estimate for the speed of light?
A.
B.
C.
D.
Answer:
a
when you round the number up it becomes 300,000.00
In which quadrant is the point (4, -5)? II I IV III
Answer:
Quadrant IV
Step-by-step explanation:
You can easily find in which quadrant a point lies using this key :
Quadrant I = (+ , +)Quadrant II = (- , +)Quadrant III = (-, -)Quadrant IV = (+, -)We have the coordinate (4, -5)
x-coordinate is positivey-coordinate is negativeIt lies in Quadrant IVAnswer:
Quadrant IV
Step-by-step explanation:
The Cartesian plane is divided into 4 quadrants.
Quadrant I is the top right quadrant, where x and y are positive.
We then move in a counterclockwise direction for quadrants II, III and IV.
Therefore:
Quadrant I: (x, y)Quadrant II: (-x, y)Quadrant III: (-x, -y)Quadrant IV: (x, -y)As point (4, -5) has a positive x-value and a negative y-value, it will lie in Quadrant IV
Alaska, Hawaii and Washington have active volcanoes. Alaska has 43, Hawaii has 5 and Washington has v. If they have 52 active volcanoes in all, how many volcanoes does Washington have?
Answer:
five
Step-by-step explanation:
A. 113 cm²
B. 133 cm²
C. 133.14 cm²
D. 113.13 cm²
Step-by-step explanation:
Surface area of cone = πr ( l + r)
= 22/7 × 4 (5+4
= 88/7 × 9
= 792/7
= 113.14 cm²
Answer:
D. 113.13 cm^2.
Step-by-step explanation:
I am assumming you want the surface area of this cone.
This = area of base + area of the curved side
= π r^2 + π r L
= 4^2 π + 4*5 π
= 113.13 cm^2.
Is 5 + 3(1 - x) equivalent to 8 - 8x?
Answer:
No, 5 + 3(1 - x) is NOT equivalent to 8 - 8x.
Step-by-step explanation:
To see if they are equivalent to each other, we first need to simplify the first expression:
5 + 3(1 - x)
Distribute the 3 into the parenthesis:
5 + 3 -3x
Combine like terms:
8 - 3x
No, 5 + 3(1 - x) is NOT equivalent to 8 - 8x.
(show ur work) You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
answer choices
$8 per pound
$35 per pound
$5 per pound
$0.125 per pound
Answer:
8 dollars per pound
Step-by-step explanation:
40 divided by 5 will give you the $/lb
40/5=8 so its $8/lb
Malini answered 68 problems on a test correctly and received a grade of 80%. How many problems were given on the test, if all problems carried the same number of marks?
Answer:
Below in bold.
Step-by-step explanation:
80% is equivalen to 68 correct answers
1% .. .. .. 68/80 ..
100% ,, ,, ,, (68/80) * 100 = 85 questions.
Which graph represents the solution to 7x < 21 or 6x – 9 > 21?
3
4
5
6
8
+
6
3
-2
-1
0
1
2
3
4
3
7
8
de
7
6
-5
4
3
-2
0
1
2
4
5
6
7
8
2
-1
0
1
2
6
Answer:
3 and 2 is the right answer and others are rongh
what are the perimeter and area of a triangle with a length of 20 in. and a width of 15 in?
Answer:
Area- 150 Perimeter- 60
Hope This Helps! :) Please Give Brainliest if this helped you!
please help asap tysm <3
Answer:
9:20 AM
Step-by-step explanation:
they spend 4 hours in total doing activities
We get this value by adding up all the time spent
1:30pm - 4 hours =
9:20 AM
question in pic below ;))))
Answer:
The first table
Step-by-step explanation:
If you create a fraction x/y, you will see all of the answers reduce down to -1/4. The other tables don't reduce to the same values.
Pat was in fishing competition at lake Pisces
Answer:
Hello! Your Question seems to be Incomplete but if you didn't mean to make it that way. I will be Happy to answer it If you repost It. Thanks !
Step-by-step explanation:
Have a good day!
The dimensions of a rectangular prism are given in the net shown. 7 in. x4 . 3 in. 5 in. 3 in.x 4 5 in. What is the total surface area of the rectangular prism in square inches? 71 in 2
The total surface area of any given net of a rectangular prism = area of each rectangular face.
What is the Total Surface Area of a Rectangular Prism?If we are given the net of a rectangular prism, the total surface area of the rectangular prism is the area of each rectangular face all summed together.
The image of the net of the rectangular prism is missing, however, let's assume the image attached below is the net of the prism.
Therefore, the total surface area of the rectangular prism = area of each rectangular face = 20 + 8 + 40 + 8 + 20 + 40 = 96 cm².
Learn more about the rectangular prism on:
https://brainly.com/question/1015291
What is the equation of the line that has a slope of -2 and passes through the point (1,2)
I can buy a box of cereal for $3.50 that comes with 35 half-cup servings.
Find the volume of the cone.
Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Volume of cone :
[tex]\qquad \sf \dashrightarrow \: \frac{1}{3} \pi{r}^{2} h[/tex]
Now, let's plug in the values as per the diagram ~
[tex]\qquad \sf \dashrightarrow \: \frac{1}{3} \times 3.14 \times {(18)}^{2} \times 10[/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{1}{3} \times 31.4 \times 324[/tex]
[tex]\qquad \sf \dashrightarrow \: 31.4 \times108[/tex]
[tex]\qquad \sf \dashrightarrow \:3391.2 \: \: ft {}^{3} [/tex]
The trial balance of pacilio security services, incorporated as of january 1, year 7
A trial balance is a bookkeeping worksheet where the balance of all ledgers are being compiled into the debit and credit column.
What is a trial balance?It should be noted that a trial balance simply means a list of the general ledgers account that are contained in the business ledger.
The rule for the preparation of a trial balance is that the total debit entries must be equal to the total credit entries.
Learn more about trial balance on:
https://brainly.com/question/24696035
Consider the following Polynomial -2a^3b^z+5ab^5+7b^4+8
a. Find the degree of the polynomial
1.5
2.6
3.15
b. Find the leading coefficient of the polynomial
1.-2
2.5
3.7
4.8
c. Find the constant term of the polynomial
1.-2
2.5
3.7
4.8
d. Find the leading term of the polynomial
1.-2a^3 b^2
2.5ab^5
3.7b^4
4.8
#a
Degree is the highest power
here it's 5#b
Leading coefficient is 7
#c
Constant term is 8 (which doesn't contain variables)
#d
Leading term is term with highest power
5ab⁵The sum of two numbers is 3. Their difference is 13. Find the numbers.
Answer:
The numbers are
5
and
8
Step-by-step explanation:
We know:
m
−
n
=
3
And we know:
m
+
n
=
13
Next, solve the first equation for
m
:
m
−
n
+
n
=
3
+
n
m
−
0
=
3
+
n
m
=
3
+
n
Then, substitute
3
+
n
for
m
in the second equation and solve for
n
:
m
+
n
=
13
becomes:
(
3
+
n
)
+
n
=
13
3
+
2
n
=
13
−
3
+
3
+
2
n
=
−
3
+
13
0
+
2
n
=
10
2
n
=
10
2
n
2
=
10
2
2
n
2
=
5
n
=
5
Now, substitute
5
for
n
in the solution to the first equation and calculate
m
:
m
=
3
+
n
becomes:
m
=
3
+
5
m
=
8
The solution is:
n
=
5
and
m
=
8
[tex]\text{Let the two numbers be x and y}\\\\x+y=3~~~.....(i)\\\\x-y=13~~~.....(ii)\\\\\text{(i)+(ii):}\\\\x+y+x-y = 3+13\\\\\implies 2x = 16 \\\\\implies x = \dfrac{16}2 = 8\\\\\text{(ii)-(i):}\\\\x-y-x-y=13-3\\\\\implies -2y=10\\\\\implies y= -5\\\\\text{Hence the numbers are }~8~\text{and}~ -5[/tex]
In meteorology the term virga refers to falling raindrops or ice particles that evaporate before they reach the ground. assume that a typical raindrop is spherical. starting at some time, which we can designate as t = 0, the raindrop of radius r0 falls from rest from a cloud and begins to evaporate.
the quotient of 40 and 5
Answer:
8
Step-by-step explanation:
Taking the quotient of two numbers means you are dividing one by the other. In this case, 40 is the dividend, and 5 is the divisor. This gets you 40/5=8 as the quotient.
If you multiply the quotient with the divisor, you get the dividend, as 8*5=40
7 ft
8 ft
8 ft
5 ft
5 ft
Find the total surface area of the prism
Answer:
look up surface area calculator
Step-by-step explanation:
The surface area of the triangular prism is 161 square feet. Then the correct option is A.
What is the surface area of a triangular prism?Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and W be the width of the rectangle. Then the surface area of the triangular prism will be given as,
Surface area = 2 Area of triangle + 3 Area of rectangle
Surface area = (h x b) + (L₁ + L₂ + L₃) x W
The surface area is calculated as,
SA = (5 x 5) + (5 + 5 + 7) x 8
SA = 25 + 17 x 8
SA = 25 + 136
SA = 161 square feet
Thus, the correct option is A which is top left.
More about the surface area of a triangular prism link is given below.
https://brainly.com/question/16765719
#SPJ2
Christina is 11 years older than caden. the sum of their ages is 35. how old is christina? how old is caden?
Answer:
Caden is 11 and Christina is 24.
Step-by-step explanation: IF we know the sum of their ages is 35, then we can do the math. 35 - 11 = 24
So this means we know two ages 11 and 24.
The only thing left to do is to figure out who's age is who's. We know that Christina is older so she has to be 24 year old and Caden would be younger.
I hope this helps!
Find the angle which is vertical to angle 5 and write your result in the empty box.
Answer:
< 2.
Step-by-step explanation:
< 2 is vertical to < 5.
In the UK we say they are opposite angles, which, to me, makes more sense.
Find the surface area of the above solId above
Please help
Answer:
I am not sure but it may be 48 cm².
Lin’s family needs to travel 325 miles to reach her grandmother’s house. At 26 miles, what percentage of the trip’s distance have they completed?
Group of answer choices
Can someone help me on this question
Answer:
D
Step-by-step explanation:
as shown, the angles are equal. You can assume that x also follows that rule.
HELP ASAP PLS the area of the circle is 64 pi square cm what is the radius of the circle in cm
Answer:
8cm
explanation:
let radius of circle be r
area of circle = 64π cm^2
π×r^2=64π
r^2=64 (cancel out π from both side)
r=√64 ( square root both side to remove the power from r)
r=8 cm
Please help!
Complete the statements to compare the areas of the two figures and find the area of the base of the cylinder.
Select the correct answer from each drop-down menu.
When the sectors of the circle are rearranged, they are close to forming a _____(rectangle/square/trapezoid) with a length of___ (2*pi*r/pi*r/r) units and a width of r units.
The area of the rearranged figure is_____ (equal/greater than/less than) to that of the circle. So, the area of the circular base_____(pi*r/pi*r*r/2*pi*r/2*pi*r) square units.
When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.
What is the area of the rearranged figure?The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.
What is a Trapezoid?A trapezoid is a two-dimensional geometric shape that has four sides with only two being parallel.
Learn more about Trapezoid at:
https://brainly.com/question/1410008
Answer:
When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.
What is the area of the rearranged figure?
The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.
Step-by-step explanation:
I got it right on Edmentum
