Solution :
Let :
X = number of overtime hours
S = total weekly salary
S = [tex]$12 \times 40 + 18 \times X$[/tex]
S = 480 + 18X
E(S) = [tex]$480 + 18 \times E(X)$[/tex]
[tex]$E(S) = 480 + 18 \times 15$[/tex]
= 750
Mean of S = 750
Var (S) = [tex]$18^2 \times Var(X)$[/tex]
Var(S) = [tex]$18^2 \times 4^2$[/tex]
= 5184
Variance of S = 5184
The standard deviation equals square root of 5184 = 72
what is 2/5 x 5/6
i need the answer in 3 minutes
1/3
...............
.
...........
Answer:
1/3
Step-by-step explanation:
Three boards are placed end to end to make a walkway. The first board is 2 feet 6 inches long, the second board is 3 feet 2 inches long, and the third board is 5
eet 7 inches long. How long is the walkway?
Write your answer in feet and inches. Use a number less than 12 for inches.
Step-by-step explanation:
TALA RHYTHMIC PATTERNS
ACTIVITY 2: LET'S DO TALA
kind of membranophones/percussion instruments found at home for tapping. Record your
Directions: Perform the following tala rhythmic patterns using the given legend. Use any
performance using any recorder and send it to your
INSTRUMENTS AT HOME
MANJIRA
TIN CANS
1 2 3 4 5 6
х
1 2 3 4 5 6 7 8 9 10 11 12
GHATAM
PAL
X
х
0 X
TABLA
1 2 3 4 5 6 7 8 9 10
BOX
x xox
Answer:
11 feet 3 inchesStep-by-step explanation:
1 feet = 12 inches
Add up the lengths:
2 ft 6 in + 3 ft 2 in +5 ft 7 in-------------------
10 ft 15 in = 10 ft + 12 in + 3 in = 10 ft + 1 ft + 3 in = 11 ft 3 in-2x(x+3)-(x+1)(x-2)=
Answer:
[tex]-3x^{2}[/tex] -5x +2
Step-by-step explanation:
Just combine like terms and solve.
-2x^2+-6x - (x+1)(x-2)
Use foil on the second part
-2x^2-6x - x^2-x-2
Now combine like terms and you’d get your final answer
4. Jean and Mark are going to fill a pool with 2 different sized hoses. Jean can fill the pool in 4 hours, while Mark can complete it in 6 hours. Their supervisor thinks that the job will take 5 hours to
complete if they work together. Explain each step in solving this equation, and determine if the supervisor is correct or not.
Answer:
2.4 hours.
Step-by-step explanation:
Remark
The supervisor is not quite correct. The correct answer must be lower than the lowest number, otherwise you are taking out what the person with the narrower hose must be taking out what the other person is putting in.
Equation
Let x = the amount of time needed for him to fill the pool
Let y = the amount of time needed for the second person to fill the pool
Let z = the amount of time needed for both to fill the pool.
1/x + 1/ y = 1/z
1/4 + 1/6 = 1/z The common denominator is 12
3/12 + 2/12 = 1/z
5/12 = 1/z Cross multiply
5z = 12 * 1 Divide by 5
z = 12/5
z = 2 2/5
z = 2.4 hours
Please help with this math question'
Answer:
h = 1296 feet
Step-by-step explanation:
Given that,
The vertical position of the object is :
[tex]h(t)=-16t^2+160t+896[/tex] .....(1)
We need to find the highest height reached by the object. For highest height,
Put dh/dt = 0
[tex]\dfrac{d}{dt}(-16t^2+160t+896)=0\\\\-32t+160\\\\t=\dfrac{160}{32}\\\\t=5\ s[/tex]
Put t = 5 in equation (1).
[tex]h(5)=-16(5)^2+160(5)+896\\\\=1296\ ft[/tex]
So, the height reached by the object is 1296 feet.
what is 3p-5= -44
can anyone answer this
Which statement correctly compares the spreads of the distribution
Answer:
From what I remember A is the answer but im not sure.
Answer:b
Step-by-step explanation:t
help me please anyone here? will mark brainliest of correct but report if nonsense
Step-by-step explanation:
1/(1 - p + p²) - 1/(1 + p + p²) - 2p/(1 - p² + p⁴) =
[ (1 + p + p²)-(1 - p + p²)/(1 - p + p²)(1 + p + p²) ] - 2p/(1 - p² + p⁴) =
2p/(1 + p + p² - p - p² - p³ + p² + p³ + p⁴) - 2p/(1 - p² + p⁴) =
2p/(1 + p² + p⁴) - 2p/(1 - p² + p⁴) =
[ 2p(1 - p² + p⁴) - 2p( 1 + p² + p⁴) ]/(1 + p² + p⁴)(1 - p² + p⁴) =
(2p - 2p³ + 2p⁵ - 2p - 2p³- 2p⁵) / (1 - p² + p⁴ + p² - p⁴ + p⁶ + p⁴ - p⁶ + p⁸) =
-4p³ / (1 + p⁴ + p⁸)
5) What does QRST → Q'R'S'T' mean?
Answer:
QRST becomes Q prime, R prime, S prime, T prime.
Step-by-step explanation:
Any figure that is rotated, translated or reflected on the corrdinate plane is considered a prime (as long as it is congruent (the same as, or equal to) with the original). The apostrophe stands for prime.
Ex. If you reflect triangle ABC across one of the axes, the original triangle will continue being ABC, while the reflection would be A' B' C' (or A prime, B prime, C prime). I hope this helps :)
Name the longest and shortest side in each triangle.
Which shoe size is the mode?
Answer:
6
Step-by-step explanation:
If the circumference of a circle measures 3/2TT cm, what is the area of the circle in terms of TT?
A. 3/4 tt cm2
B. 9/2 tt cm2
C. 9/4 tt cm2
D. 9/16 tt cm2
Answer:
A = pi 9/16 cm^2
Step-by-step explanation:
The circumference is 3/2 pi
The circumference is given by
C = 2 * pi *r
3/2 pi = 2 * pi *r
Divide each side by 2 *pi
3/2 pi / 2 pi = 2 pi r /2pi
3/4 cm = r
Now we can find the area
A = pi r^2
A = pi ( 3/4) ^2
A = pi 9/16 cm^2
Answer:
d) 9/16π cm²
Step-by-step explanation:
Circumference = 3/2π cm
diameter = 3/2 cm
radius = 3/2 ÷ 2 = 3/4 cm
area = π(3/4)² = 9/16 π cm²
A frustum of height 4 is part of a larger pyramid of height 6. What is the ratio of the volume of the frustum to the volume of the pyramid?
Answer:
26 : 27Step-by-step explanation:
The volume of the pyramid with height of 6:
V = 1/3bh = 1/3b*6 = 2b,b is area of the baseThe volume of the smaller pyramid is:
V₁ = 1/3*b₁h₁We know:
h₁ = 6 - 4 = 2h₁/h = 2/6 = 1/3The base sides have same ratio as similar triangles.
b₁ = (1/3)²b= b/9The volume of smaller pyramid:
V₁ = 1/3*2*b/9 = 2b/27The difference of the volumes is the volume of the frustum:
V₂ = V - V₁V₂ = 2b - 2b/27 = 52b/27The ratio of V₂ to V is:
52b/27 ÷ 2b = 26/27Can you simplify five and 26/24
Answer:
6 and 1/2
Step-by-step explanation:
Helppppppppppp AND NO LINKS
OBJECTIVES QUESTIONS
If P = (7, 9, 13) and Q = (1, 7, 13)
Find P Q
A. (1,7, 13) B. (1,9, 13) mos
C. (7, 13) D. 7, 9, 13)
E. (13)
Answer:
A write all the numbers and then plus(+) them and get the answer but plus the separate
What is the equation of the line that passes through the point (8,9) and has a y-intercept of -3?
Answer:
y=3x/2-3
Step-by-step explanation:
y=mx+c
9=m(8)-3
9+3=8m
12=8m
m=12/8
m=3/2
The equation of the line is y=3x/2-3
An _____ is a single outcome or group of outcomes.
a.) event
b.) probability
c.) sample
d.) None of these
Answer:
D
Step-by-step explanation:
The article "an" can only be used with the word "event" so that automatically takes the choices b and c out of the way. An event is something that happens and causes the outcome, it is not the outcome, so it is not A. Thus, the answer is D
f(x) = V22
g(x) = V322
Find (f .g)(x). Assume x2 0.
O A. (f.g)(x) = 8x
B. (f.g)(x) = 8VC
O c. (f.g)(x) = 32x
D. (f.g)(x) = V34x
Answer:
Step-by-step explanation:
g(x) = √(32x) = √(2⁵x) = 4√(2x)
(f∘g)(x) = f(g(x))
= f(4√(2x))
= √(2 ⋅ 4√(2x))
= √(8√(2x))
= √8∜2∜x
= ∜(2⁷x)
= ∜(128x)
which doesn’t match any of the choices. There’s an error in the question.
I believe that the functions were written incorrectly and the x should not be part of the radicands (see attachment). That makes the answer A.
Determine the length of DE.
Plz help
Hhhhhhhheeeeeeeeellllllllllppppppppp
Answer:
Step-by-step explanation:
1kg = 1000g
3000g [divide by 1000 to get answer in kg]
3kg = D
If C is the incenter of ∆AMD, m∠A M C = 3 x + 6 and m∠ DMC= 8 x − 49.
find ∠ M A D , find m∠ADM and find m∠ADC
Answer:
3x+6=8x-49,
-6. -6
__________
3x=8x-55
-8x. -8x
________
-5x=-55
x=11,
3(11)+6=39
8(11)-49=39
Step-by-step explanation:
How many more people studied for 0-30 minutes than people who studied for 121-150 minutes?
Answer:
5 more people studied more in 0-30 minutes than people who studied 121-120 minutes.
Step-by-step explanation:
The scale on a map is 1in. = 2 mi. On the map, Greg’s house is 4in. from Melissa’s house. What is the actual distance from Greg’s house to Melissa’s house?
The distance from Greg's house to Melissa's is 8 mi.
Step-by-step explanation:
Multiply 4 by 2.
The three most commonly used graphs in research are the histogram, the __________, and the cumulative frequency graph (ogive)
Answer:
The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs.
Estimate 45.8 / 4.1 = ? (Must show work)
Find Sin L=
Will mark as brainliest
Answer:
[tex]\Huge\boxed{\frac{3}{5}}[/tex]
Step-by-step explanation:
The trigonometric ratio for sine is
sin = opposite over hypotenuse
the opposite side length of L is 6 and the hypotenuse is 10
so sin L = 6 over 10
then we simplify
6/2 = 3
10/2=5
the answer would be 3/5
Write the decimal .0006 as a fraction
Answer:
6/1000
Step-by-step explanation:
.0006 times 10,000
mrs cofflands social studies class gas 14 boys and 9 girls in it what is the ratio of girls to boys write it 3 different ways
Answer:
1. 14:9
2. 14 to 9
3. 14/9
Step-by-step explanation:
help? :’) on math:
Which equation would you use to solve the following situation?
If everybody on the team scores 6 points, and the team has a total of 42 points, how many people are on the team?
1. 6 p = 42
2. 7 p = 42
3. 6 + p = 42
or 4. 42 - p = 6
what number ??
Answer:
yeppy the answer should be 1. 6p=42 :)