Answer:
50 dozen total
Step-by-step explanation:
8/12 & 10/12.... average 9/12
11/12 - 9/12 =
2/12x = 100
2x = 1200
x = 600/12
50 dozen total
appoint a planning committee with five different members. There are 14 qualified candidates, and officers can also serve on the committee. What is the probability of randomly selecting the committee members and getting the five youngest of the qualified candidates?
Answer:
[tex]Pr = \frac{1}{2002}[/tex]
Step-by-step explanation:
See comment for complete question;
Given
[tex]n = 14[/tex]
[tex]r = 5[/tex] -- committee members
[tex]k = 4[/tex] ---- officers (i.e. president, CEO, COO and CFO)
Required
Probability of selecting 5 youngest qualified members
First, we calculate the number of ways the committee can be appointed;
Any 5 members can be part of the committee; This means that we won't consider the order.
So, the number of ways is:
[tex]^{14}C_5[/tex]
This gives:
[tex]^{14}C_5 = \frac{14!}{9!5!}[/tex]
So, we have:
[tex]^{14}C_5 = \frac{14*13*12*11*10*9!}{9!*5*4*3*2*1}[/tex]
[tex]^{14}C_5 = \frac{14*13*12*11*10}{5*4*3*2*1}[/tex]
[tex]^{14}C_5 = \frac{240240}{120}[/tex]
[tex]^{14}C_5 = 2002[/tex]
There can only be a set of 5 young people. So, the probability is:
[tex]Pr = \frac{1}{2002}[/tex]
2 - (-8) + (-3) =
O A) 12
OB) 7
O C
C) 14
OD 1
Answer:
B)7
Step-by-step explanation:
2-(-8)=10
10+(-3)=7
Find the square root of 1225 by Division method.
Answer:
35
Step-by-step explanation:
square root of 1225 is 35
Answer:
Write 1225 as 5 x 5 x 7 x 7
So, 52 x 72 = 1225
So (5 x 7)2 = 1225
So √1225 = 5 x 7 = 35
a circle has a radius that is 4 centimeters long. if a central angle has a measure of 3 radiants, what is the length of the arc that corresponds to the angle ?
A. 12 centimeters
B. 4 centimeters
C. 3 centimeters
D. 7 centimeters
Answer:
A number is right 12 centimetres
What is the value of x?
2
3
6
7
Geometry B - 5.0 - Extended – 2
Answer:
I think 6.............,..........
find the value of the following 8711×99+8711
Answer:
the value of the following 8711×99+8711 is
Step-by-step explanation:
871100
Answer:
871100
Step-by-step explanation:
use BODMAS
first multiply 8711×99
=862389
Then add 862389+8711
=871100
An RLC series circuit has an applied voltage of 240 volts. R = 48 ohm, XL = 100 ohm, and XC = 36 ohm. What is the circuit impedance (Z)?
9514 1404 393
Answer:
48 +j64 ohms
Step-by-step explanation:
The impedance of a series circuit is the sum ...
R + jXl -jXc
= 48 +j100 -j36
= 48 +j64 . . . . ohms
_____
Additional comment
"j" is the electrical engineer's name for √-1, because "i" is used to represent current.
help i’ll give brainliest
Answer:
c c c c c c c c c c c c c c c c c c c c
Find m angle RQH if m angle HQP=95^ and m angle RQP=152^
Answer:
[tex] \large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]
[tex] \large{ \tt{✽ \: m \: \angle \: RQP = m \: \angle \: RQH + m \: \angle \: HQP}}[/tex]
[tex] \large{ \tt{⇾ \: 152 \degree = \: m \: \angle \: \: RQH + 95 \degree}}[/tex]
[tex] \large{ \tt{⇾ \: 152 \degree - 95 \degree = m \: \angle \: RQH}}[/tex]
[tex] \boxed{ \large{ \tt{⇾ \: 57 \degree = m \: \angle \: RQH}}}[/tex]
Our final answer : 57° . Hope I helped! Let me know if you have any questions regarding my answer! :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
A bank gives you a loan of 1,500,000 Baht to buy a house. The interest rate of the loan is 0.01% per day (Using 1 year = 365 days) How much interest you pay after 10 years
Answer:
547 500
Step-by-step explanation:
Interest for 1 year:
0.01%×365=3.65 a year
3.65×10=36.5% for 10 years
36.5×1,500,000÷100=547 500
The interest paid after 10 years is 547 ,500 Baht.
What is Interest ?Interest is the amount paid or earned when a loan is taken or an investment is done respectively.
It is given that
Principal = 1,500,000 Baht
Rate = 0.01 % per day
Time period = 10 years
Interest = ?
Interest = P *R *T/100
Interest = 1500000 * 0.01 *365* 10 / 100
Interest = 547,500 Baht
Therefore the interest paid after 10 years is 547 ,500 Baht.
To know more about Interest
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Plzz prove this tomorrow is my test plzz help me
Step-by-step explanation:
this is the correct answer for the question
Can someone help me with this problem
9514 1404 393
Answer:
x = 30°
Step-by-step explanation:
The lines will be parallel if and only if the sum of the marked angles is 180°:
4x +2x = 180°
6x = 180° . . . . . collect terms
x = 30° . . . . . . . divide by 6
How many x-intercepts are in the quadratic equation y = 7x2 − 2x − 1
Answer:
There are 2 x intercepts
Today, 11:50
Sawing and cutting. Level
Arjun cut a loaf of bread and made
sandwiches. How many sandwiches did he
make if he made 10 cuts?
Answer:
5 sandwiches he made in bread
Select the correct answer. What is the range of the function shown on the graph above?
A. -8
B.-2y <-7
C. -7 Sy < -2
D. -9
Answer: The answer would be D
Step-by-step explanation:
Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each answer, enter an ordered pair of the form x, y.) x = 1 + sin(t), y = 3 + 2 cos(t), π/2 ≤ t ≤ 2π
Answer:
The motion of the particle describes an ellipse.
Step-by-step explanation:
The characteristics of the motion of the particle is derived by eliminating [tex]t[/tex] in the parametric expressions. Since both expressions are based on trigonometric functions, we proceed to use the following trigonometric identity:
[tex]\cos^{2} t + \sin^{2} t = 1[/tex] (1)
Where:
[tex]\cos t = \frac{y-3}{2}[/tex] (2)
[tex]\sin t = x - 1[/tex] (3)
By (2) and (3) in (1):
[tex]\left(\frac{y-3}{2} \right)^{2} + (x-1)^{2} = 1[/tex]
[tex]\frac{(x-1)^{2}}{1}+\frac{(y-3)^{2}}{4} = 1[/tex] (4)
The motion of the particle describes an ellipse.
express the ratio as a fraction in the lowest terms 100cm:5m
Step-by-step explanation:
we know that 1m=100cm
so 1m:5m(final)
1:5
Answer:
1/5
Step-by-step explanation:
Since 100cm = 1m
then
100cm:5m becomes 1m:5m
which in fraction is 1/5
Need help please.. :(
Answer:
option d is correct one in which value of T lies
Ghgshsvssbdbdbbdbxbxbxbdbdbdbdbdndndjd
So a Quadratic function,A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero
Given the functions below, find f(x)+g(x)
CHECK MY ANSWERS PLEASE
Answer:
It's the last one
Step-by-step explanation:
(3x-1)-(x²+4)
3x-1-x²-4
-x²+3x-5
what number must you add to complete the square x^2+12x=40
Step-by-step explanation:
x²+12x=40
(x+6)²-6²-40=0
(x+6)²-76 = 0
Simplify the expression
Answer: …
Step-by-step explanation: you need an image
Answer:
what expression?
Step-by-step explanation:
For the function, tell whether the graph opens up or opens down, identify the vertex, and tell whether the graph is wider, narrower, or the same width as the graph of y = |x|.
y = 2|x – 1| - 3
opens up, (1, 3), wider
opens up, (1, 3), narrower
opens up, (-1, -3), wider
opens up, (1, -3), narrower
Answer:
The answer is D, the last one.
9514 1404 393
Answer:
(d) opens up, (1, -3), narrower
Step-by-step explanation:
The factor of +2 multiplying the function tells you the graph is expanded vertically by a factor of 2. The parent function opens upward, and the positive sign on this expansion factor does not change that. The expansion means that y-values will be farther from the vertex for the same x-value distance from the vertex. This give the appearance of a narrower graph.
As always, the transformation ...
f(x -h) +k
moves the vertex from (0, 0) to (h, k). Here, you have (h, k) = (1, -3), so that is the location of the vertex of the transformed function.
Which of the following represents the ratio of the hypotenuse to the given
side?
Answer:
D. √2 : 1
Step-by-step explanation:
The hypotenuse = 4√2 (longest side of a right triangle)
The given side = 4
Ratio of the hypotenuse to the given side = 4√2 : 4
Simplify by dividing both numbers by 4
√2 : 1
Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a.
f(x)= 7x e^x, a= 0
Hi there!
[tex]\large\boxed{p(x) = 7x + 7x^2 + \frac{7}{2}x^3 + \frac{7}{6}x^4}[/tex]
Recall a Taylor series centered at x = 0:
[tex]p(x) = f(0) + f'(0)(x) + \frac{f''(0)}{2}x^{2} + \frac{f'''(0)}{3!}x^{3} + ...+ \frac{f^n}{n!}x^n[/tex]
Begin by finding the derivatives and evaluate at x = 0:
f(0) = 7(0)e⁰ = 0
f'(x) = 7eˣ + 7xeˣ f'(0) = 7e⁰ + 7(0)e⁰ = 7
f''(x) = 7eˣ + 7eˣ + 7xeˣ f''(0) = 7(1) + 7(1) + 0 = 14
f'''(x) = 7eˣ + 7eˣ + 7eˣ + 7xeˣ f'''(0) = 21
f⁴(x) = 7eˣ + 7eˣ + 7eˣ + 7eˣ + 7xeˣ f⁴(0) = 28
Now that we calculated 4 non-zero terms, we can write the Taylor series:
[tex]p(x) = 0 + 7x + \frac{14}{2}x^2 + \frac{21}{3!}x^3 + \frac{28}{4!}x^4[/tex]
Simplify:
[tex]p(x) = 7x + 7x^2 + \frac{7}{2}x^3 + \frac{7}{6}x^4[/tex]
3/8-1/4=?
Answer ……..
Step 1: Find the LCD (Least Common Denominator)
The LCD between 4 and 8 is 8. Therefore, if I change all of the fractions to have a denominator of 8, the problem is as such:
3/8 - 2/8 = ?
Step 2: Subtract
3/8 - 2/8 = 1/8
Hope this helps!
Answer:
[tex]\frac{1}{8}[/tex] (1/8)
Step-by-step explanation:
1. The LCD & basics8·1=8
4·2=8
LCD=8
If the denominator is multiplied, the numerator also has to be multipled by the same value.
2. Solving[tex]\frac{3}{8} -\frac{2}{8} =\frac{1}{8}[/tex][tex]\frac{1}{8}[/tex]
Hope this helped! Please mark brainliest :)
what is the solution for 2y=x+2
x-3y=-5
Answer:
x = 4
y = 3
Step-by-step explanation:
Given equations :-
2y = x + 2 x - 3y = -5Second equation can be written as ,
x - 3y = -5 -3y = -x - 5Adding them :-
-3y + 2y = 2 -5 -y = -3 y = 3Put this in (ii) :-
x = 3y - 5 x = 3*3 - 5 x = 9 -5X = 4HELP PLEASE- ASAP
What is the probability that a point selected randomly in will be one of the points inside segment RS? Enter your answer as a decimal numbers
Answer:
0.2
Step-by-step explanation:
The total number of points in PS is a sum of the number of points in :
PQ + QR + RS ;
PQ = 7 ; QR = 13 ; RS = 5
PS = (7 + 13 + 5) = 25
Probability that point selected at random is in RS ;
Required outcome = point in RS
Total possible outcomes = points in PS
Probability = RS / PS = 5 / 25 = 0.2
Sumas y restas w+y=9 3w-y=11
Answer:
w = 5
y = 4
Step-by-step explanation:
w+y=9
3w-y=11
4w = 20
w = 5
y = 4
3/8 + 1/4 + 1/2 - 2/3 =
Answer:
[tex]\frac{11}{24}[/tex]
Step-by-step explanation:
3/8 + 1/4 + 1/2 - 2/3
- > 1/4 = 2/8
3/8 + 2/8 + 1/2 - 2/3
5/8 + 1/2 - 2/3
- > 1/2 = 4/8
5/8 + 4/8 - 2/3
9/8 - 2/3
- > LCM of 8,3: 24
- > 9/8 = 27/24
- > 2/3 = 16/24
27/24 - 16/24
11/24
Hope this helps you.