Answer:
3
Step-by-step explanation:
the question requires us to solve for the degree of freedom of this test.
we have this information below to answer this question
number on time = 90 95 85 60
sample size = 100 120 100 10
from this we can see that we have two rows, each row contains four piece of data, which gives us 4 columns
the formula for the degree of freedom:
df = (c-1)(r-1)
c = 4
r = 2
= 4-1 * 2-1
= 3 * 1
= 3
thank you!
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1100. The law firm assigned a total of 10 lawyers to the case and was able to charge the client $8000 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.
There were ____associates assigned to the case and ____
partners assigned to the case.
Answer: x = 7
Thus 7 associates and 10 partners were assigned
Step-by-step explanation:
7 associates and 10 partners were assigned
Let "x" be the number of associates assigned to
case
Let "y" be the number of partners assigned to the case
The law firm assigned a total of 17 lawyers to the case
Therefore,
x + y = 17
x = 17 - y --------- eqn 1
daily rate charged to the client for each associate is $800
daily rate for each partner is $1800
They was able to charge the client $23600 per day for these lawyers' services
Therefore,
800x + 1800y = 23600 ------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
800(17 - y) + 1800y = 23600
13600 - 800y + 1800y = 23600
1000y = 23600 - 13600
1000y = 10000
Divide both sides by 1000
y = 10
Substitute y = 10 in eqn 1
x = 17 - 10
x = 7
Thus 7 associates and 10 partners were assigned
4 ft
5 ft
7.5 ft
The surface area is
6
square feet.
Answer:
30
Step-by-step explanation:
length x width = surface area
7.5 x 4 = 30
Over the last three evenings, Elsa received a total of 110 phone calls at the call center. The first evening, she received 10 fewer calls than the third
evening. The second evening, she received 4 times as many calls as the third evening. How many phone calls did she receive each evening?
Answer:
first evening, 10 calls, second evening 80 calls, third evening, 20 calls.
Step-by-step explanation:
if the number of calls received during the first evening is X, then the number of calls received during the third evening is X+10 as the third evening received 10 more calls than first evening. The second evening received 4 times of third so 4X+10. Add them up together and put them equal to 110.
X+10+X+4X+40=110
6X+50=110
6X=110-50
6X=60
X=10
First evening, 10 calls,
second evening 80 calls; 4X+40, 4(10)+40=80
third evening 20 calls; X+10, (10)+10=20
26,720 inches are equal to _______ miles.
Answer: 0.42171717 miles
Step-by-step explanation:
for inches to mile conversion divide by 63350
so got 0.421717
Arnold Landis made a deposit of $720 to open a savings account that pays interest at an annual rate of 5%, compounded quarterly.
a. If he keeps his original deposit in the saving account and is paid interest for four quarters, how much interest will he earn in the first year?
Answer:
Hope It Help
Step-by-step explanation:
Brainliest please
(12x)
B
(2x + 5)
с
E
x= Answer
MAD -
Answer
BC
Answer
MDC
Answer
mDBC
Answer
D
(17x-14)
Answer:
x = 9
m(AD) = 108°
m(BC) = 23°
m(DC) = 139°
m(DBC) = 162°
Step-by-step explanation:
AD = 12x°
BC = (2x + 5)°
DC = (17x - 14)°
m<AEB = right angle = 90°
AB = m<AEB = 90° (central angle theorem)
90 + 12x + (2x + 5) + (17x - 14) = 360 (full circle)
✔️Solve for x
90 + 12x + 2x + 5 + 17x - 14 = 360
Add like terms
81 + 31x = 360
31x = 360 - 81
31x = 279
x = 279/31
x = 9
✔️Find m(AD)
m(AD) = 12x
Plug in the value of x
m(AD) = 12(9) = 108°
✔️Find m(BC):
m(BC) = (2x + 5) = 2(9) + 5
m(BC) = 23°
✔️Find m(DC) = (17x - 14)° = 17(9) - 14
m(DC) = 139°
✔️Find m(DBC) = m(DC) + m(BC) = 139° + 23° = 162°
Can you guys help me?
Answer:
Step-by-step explanation:
The right angle means that you are working with a right angle triangle. Therefore one of the 3 basic trig functions must be used to define x.
Sin(x) = opposite / hypotenuse.
opposite = 15
hypotenuse = 17
Sin(x) = 15/17
Sin(x) = 0.8824
But that's not what you are asked for. You are asked for an angle. That means you must use the inverse of the sine function.
x = sin-1(0.8824)
x = 61.93
That's about as brief as I can make it.
If anyone can help i would appreciate it. Ill give brainiest to anyone who answers with out a link
Answer:
im pretty sure what u have ther is right
40
55
23
26
HELP ASAP PLS
Answer:
26
Step-by-step explanation:
180-63-78 = 39
180 - 39- 59 =82
180-82-72=26
(Will give 50 points!) The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games. What is the difference between the medians?
A) 2 points
B) 12 points
C) 16 points
D) 4 points
Answer:
C) 16 points
Step-by-step explanation:
Which missing piece of information would allow the triangles in the figure to be proven congruent by AAS?
The missing piece of information is ∠C ≅ ∠C′
How to determine the missing piece?From the figure, we have:
AB ≅ A'B'
<B ≅ <B'
The above means that:
Sides AB and A'B' are congruentAngles B and B' are congruentThe congruence theorem is given as:
AAS --- Angle Angle Theorem
i.e.
Two corresponding angles and one corresponding side are congruent
Since a congruent side and a congruent angle have been given;
We need a congruent angle to complete the piece
In this case, we have:
∠C ≅ ∠C′
Hence, the missing piece of information is ∠C ≅ ∠C′
Read more about congruent triangles at:
https://brainly.com/question/1675117
#SPJ1
Find the area of a triangle whose base is 23 inches and whose height is 28. write your answer as a decimal
Answer:
[tex]Area = 322.0in^2[/tex]
Step-by-step explanation:
Given
[tex]Base = 23in[/tex]
[tex]Height = 28in[/tex]
Required
Determine the area
The area is calculated as:
[tex]Area = 0.5 * Base* height[/tex]
[tex]Area = 0.5 * 23in * 28in[/tex]
[tex]Area = 322.0in^2[/tex]
Select following series as artithmetic, geometric or neither. 1+2 +3+4+...+10
Which of these is a safe practice when working with horses?
A . use a firm, loud voice
B . stay in the horse’s blind spot use quick-release knots for easy escape
C . if unattended, leave the horse tied up
Answer:
i think the awnser is c . if unattended, leave the horse tire up
What is the first step in solving the following system of equations?
3 x + y = 23. 8 x + 2 y = 23.
Substitute the value of y from one equation into the other equation.
Solve the first equation for y.
Subtract the second equation from the first equation.
Substitute the value of x from one equation into the other equati
Answer:
Solve the 1st equation for y and then you substitute the answer of the y value to the other equation to get the x value
combine like terms
z{2} + z + 4z{3} + 4z{2}
What is the length of de
Answer:
B. 37 units
Step-by-step explanation:
DE = 4x + 1
AB = 11x - 25
DE is a midsegment of the ∆ABC
Therefore:
DE = ½(AB) => Triangle Midsegment Theorem
4x + 1 = ½(11x - 25)
2(4x + 1) = 11x - 25
8x + 2 = 11x - 25
Collect like terms
8x - 11x = -2 - 25
-3x = -27
-3x/-3 = -27/-3
x = 9
✔️DE = 4x + 1
Plug in the value of x
DE = 4(9) + 1 = 36 + 1
DE = 37
HELP ME ITS DUE TODAY AND I NEED HELP PLS IM BEGGING
In a lab experiment, 310 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 30 hours. How long would it be, to
the nearest tenth of an hour, until there are 440 bacteria present?
The answer:
15.157059248=15.2(When rounded to the nearest tenth)
PLEASE I NEED HELP WITH THE BOTTOM QUESTION
Answer:
6/25
Step-by-step explanation:
The total cost (in dollars) of producing x college textbooks is .
(a) What are the fixed costs?
(b) What is the marginal cost per book?
(c) What is the total cost of producing books? books?
(d) What is the average cost when books are produced? when books are produced?
chicken wing chicken wing
Answer:
hot dog and baloney :>
Step-by-step explanation:
yeet
Answer:
Hot dog and baloney
Chicken and macaroni
Chilling with my homies
I heard it so many times :)
A cone has a diameter of 20cm and a height of 12cm, what is the volume of the cone?
Answer:
The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3
Make sure to round your answer to the nearest significant figure that you're asked.
Step-by-step explanation:
The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3
what is 5 cm in mm. NEED HELP ASAP !!!!!!!
Draw a pair of supplementary angle where the value of A is half the value of B . label your angle.
Find the magnitude and direction of the vector r=(-4 6)
Step-by-step explanation:
The given vector is :
r = (-4,6)
We can write in the form of vector as follows :
r = -4i+6j
The magnitude of vector r is :
[tex]|r|=\sqrt{-4^2+6^2} \\\\=\sqrt{16+36} \\\\=7.21[/tex]
For direction,
[tex]\tan\theta=\dfrac{y}{x}\\\\\theta=\tan^{-1}(\dfrac{y}{x})\\\\=\tan^{-1}(\dfrac{6}{-4})\\\\=-56.3^{\circ}[/tex]
So, the magnitude is 7.21 and the direction is [tex]-56.3^{\circ}[/tex]
Answer:
A. |r|=2√13, 56.3° N of W
Step-by-step explanation:
got it on edge :)
You have recently signed up for a new job and noticed this policy for retirement savings. Invest $200 and the employer does 70% matching for 35 years at an interest rate of 4.8%.
Find the total amount that the employer contributes each month.
What amount will you have after 35 years?
How much money have you deposited into the account yourself?
How much more money is in the account than what you have deposited?
Answer:
Amount per month contributed by employer $ = 200*0.70 = 140
Total amount employer contributes $ = 140*420 = 58800
Total amount employee contributes $ = 200*420 = 84000
Total amount after 35 years with interest calculated AT 4.8% (Employer + employee + interest) $ = 371024.67
Interest amount for 35 years accumulated $ = 228224.67
Amount deposited by employee $ = 84000
Excess amount in the account over the employee contribution
Including employer contribution $ = 287024.67
Excluding employer contribution $ = 228224.67
Step-by-step explanation:
LOOK AT THE PICTURE FOR STEPS
pLS WILL GIVE BRAINLIEST for correct answer pls
Answer:
1/6
Step-by-step explanation:
Determine the quadrant (s) in which each statement is true. csc(theta)greater than 0
Answer: The answer is 1st quadrant.
Step-by-step explanation:
WILL MARK BRAINLIEST! TY!
[Ignore the one that I selected its probably wrong]
Answer:
Ok so the answer is the first option