Answer:
Expression of the statement = 18 - 2x
Answer:
18 - 2x
Step-by-step explanation:
need help with these 2 questions
Answer:
I worked really hard on this problem, I had to manually edit with my editing tool for 15 minutes lol.
A package delivery company experiences high variability in daily customer demand, which in turn results in high variability in the daily workload at the central sorting facility. The company relies on its sorting facility employees working overtime to provide on-time delivery when the workload demand is very high. A sorting facility employee receives a salary of $12/hour for a 40 hour week, and the employee receives $18/hour for every hour worked overtime, that is, for every hour worked over 40 hours in a given week. The number of overtime hours that an employee works in any given week is a random variable, with a mean of 15 hours and a standard deviation of 4 hours.
Required:
What are the mean, the standard deviation, and the variance of an employee's total weekly salary?
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
PLEASE HELP 20 POINTS!
which model shows 1/4 ÷ 3?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A
Can y’all help me on question eight?!
Answer:
50
Step-by-step explanation:
PEMDAS
3(2)+24/2+2(3+7)
Pemdas
3(2)+24/2+2(10)
PeMDas
6+24/2+20
6+12+20
PemdAs
38
María trajo de su viaje seis paquetes con seis cajas cada uno. Si cada caja tiene seis bolsas, y cada bolsa, dos caramelos ¿cuántos caramelos trajo María de su viaje?
Answer:
72 candies
Step-by-step explanation:
she had 6 boxes with 6 bags each so that equals 36 and each bag has 2 candies so 36 times 2 equals 72
hope this helped plz give brainliest
ella tenía 6 cajas con 6 bolsas cada una, por lo que es igual a 36 y cada bolsa tiene 2 caramelos, por lo que 36 por 2 es igual a 72
Espero que esto haya ayudado por favor a dar lo más inteligente
5
Convert 1101 two to base 5
the answer is 23...........
Sue has taken four exams so far in her History course. Her scores are 84.0, 78.2, 93, and 87.5. What is the average of these scores?
Answer: 85.7
Step-by-step explanation:
Find the perimeter of the trapezoid.
16
7
5
4
20
Plz plz help
Answer:
48
Step-by-step explanation:
7+16+5+20=48
RU is the midsegment of the trapezoid PQST.
If PQ = 17 and RU = 27, what is ST?
Answer:
7
Step-by-step explanation:
27-17=10
17-10=7
What is the common denominator of 3 5 and 4 10
Answer:
3 and 5, 15; 4 and 10, 20
Step-by-step explanation:
The lowest number divided by 3 and 5 is 15. Same for 4 and 10. The lowest number they can both be divided by is 20.
HELP PLSSSS I BEG UUUU PLSSS
Answer: Thursday
Step-by-step explanation:
I hope this helps
Answer: Thursday
Step-by-step explanation:
It's Thursday because any number below 0 is a negative number but, as Thursday is 3° above 0, it is positive.
Hope this helps :)
What is the value of the underlined digit? Write your answer as a fraction. 0.812? 2 is underline number?
9514 1404 393
Answer:
1/500
Step-by-step explanation:
The value of the digit is found by setting the other digits to zero:
0.002
This is 2 thousandths, or 2/1000. The fraction can be reduced to 1/500.
Answer:
the answer is 1/500
Step-by-step explanation:
:)))
hey i need helpppppol
Answer:
Option : C
Step-by-step explanation:
Hope it helps you!
Dionne can fold 175 packing boxes in 50 minutes.
Elias can fold 120 packing boxes in 40 minutes.
Use unit rates to find how much time it will take each person to fold 210 packing boxes.
Drag the numbers to explain and show your answer. Numbers may be used once or not at all.
370803.54.550604
Dionne can fold
boxes in 1 minute and Elias can fold
boxes in 1 minute.
Dionne will fold 210 boxes in
minutes and Elias will fold 210 boxes in
minutes.
REFER THE ATTACHMENT ABOVE ☝☝☝☝
Answer:
[tex] \frac{176}{50m} = \frac{3.5}{1} [/tex]
RESULT
Use ratio and proportion.
Let x be the time it takes Dionne to fold 210 packing boxes:
[tex] \frac{175}{50} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 175x = 50(210) \\ \\ x = \frac{50(210)}{175} \\ \\ x = \frac{50(210)}{175} \\ \\ x = 60[/tex]
So, it will take Dionne 60 minutes to fold 210 packing boxes.
Let y be the time it takes Elias to fold 210 packing boxes:
[tex] \frac{120}{40} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 120x = 40(210) \\ \\ x = \frac{40(210)}{120} \\ \\ \\ x = 70[/tex]
So, it will take Elias 70 minutes to fold 210 packing boxes.
2. The size of garage after a 12% decrease is 150 square feet. What was the original
size of the garage? Round to the nearest whole feet.
Answer:
168ft^2
Step-by-step explanation:
150 · 0.12 = 18.
150 + 18= 168
A submarine was 20 feet below sea level. If it ascends (goes up) 30 feet,
what is its new position?
50 feet above sea level
O 10 feet below sea level
O 50 feet below sea level
O 10 feet above sea level
Answer:
10 ft above sea level
Step-by-step explanation:
20 below goes up by 30 then it would be -20 -10 0 10
Need help with this, the answer is 61 but I need the work for it.
Answer:
61
Step-by-step explanation:
Arc AC = 180
Arc DC = 58
Arc AC = Arc AD + Arc DC
180 = Arc AD + 58
122 = Arc DC
Tangent Chord Angle = 1/2Intercepted Arc
Angle DBA = 1/2 Arc DC
Angle DBA = 1/2 (122)
Angle DBA = 61
need help ASAP plz and I've got more if anyone wants to help
Answer:
1/4+1/4+1/4+1/4+1/4+1/4= 1.5
3/10x2/3= 0.2
2/4x2/3= 0.33333333333 (just put 0.3 with a line on top of the 3)
6 divided by 1/2 = 12/1 or 12
9 divided by 1/3 = 27/1 or 27
2/5 divided by 3/4 = 8/15
1/2 divided by 2/3 = 3/4
Solve m + 7 = 11.
The solution is?
Answer:
m=4
Step-by-step explanation:
Answer:
4, subtract 7 from both sides m = 4
major arc BRA is 3/2 the length of minor arc BSA. the length of major arc BRA is 6pi centimeters. what is the radius of the circle?
9514 1404 393
Answer:
5 cm
Step-by-step explanation:
The given arcs have the ratio ...
BRA : BSA = (3/2) : 1 = 3 : 2
Then BRA is 3/(3+2) = 0.6 of the total circumference of the circle.
0.6(2πr) = 6π . . . . . BRA is 6π long
r = 6π/(1.2π) . . . . . . divide by the coefficient of r
r = 5 . . . . centimeters
PLEASE HELP WILL GIVE BRAINLEIST!!! What type of angles are ∠4 and ∠8?
Answer:
Corresponding Angles
Step-by-step explanation:
They are both in the same positions but just on different lines meaning they are corresponding :)
The angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
As we can see in the figure, the line b and line c are parallel to each other and intersected by a line a.
The angles 1, 2, 3, 4, 5, 6, 7, and 8 formed.
The angles 1 and 4, angle 2 and 3 are vertically opposite angles.
Similarly, 5&8 and 6&7 are vertically opposite angles.
The angle 4 and angle 8 are corresponding angles.
Thus, the angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.
Learn more about the angle here:
brainly.com/question/7116550
#SPJ2
Find the volume of the given solid. Bounded by the cylinder y2 + z2 = 16 and the planes x = 2y, x = 0, z = 0 in the first octant
Answer:
[tex]\mathbf{ \dfrac{128}{3}}[/tex]
Step-by-step explanation:
Given that:
[tex]y^2 + z^2 = 16; \\ \\ where; \ x = 2y , x =0, z= 0[/tex]
[tex]Replace \ z = 0 \ \text{in the given equation ;} y^2+z^2=16[/tex]
[tex]Then;[/tex]
[tex]y^2 = 16 \\ \\ y = \sqrt{16} \\ \\ y = \pm 4[/tex]
[tex]\text{So; in 1st octant \ limits of y }= 0 \to 4 \ \text{and for x }= 0 \to 2y[/tex]
∴
[tex]\text{Volume of solid: (V) = }\int ^{4}_{y=0} \int ^{2y}_{x=0} \sqrt{16-y^2} \ dxdy \\ \\ = \int^4_{y=0} \sqrt{16 -y^2} \ (x)^{2y} _o \ dy \\ \\ = \int^4_{y=0}\sqrt{16 -y^2} (2y -0) \ dy \\ \\ V = \int^{4}_{y=0} \ 2y \sqrt{16 - y^2} \ dy[/tex]
[tex]Now, let:\\\\ 16 - y^2 = u \\ \\ -2ydy = du \\ \\ 2ydy = -du \\ \\ Hence, when \ y = 0; u = 16 \\ \\ and \\ \\ when \ y = 4 \ then \ u = 0[/tex]
∴
[tex]V = \int ^4 _{y=0} \ 2y \sqrt{16 -y^2 } \ dy \\ \\ = \int ^0_{16} - \sqrt{u}\ du \\ \\ = - \int^0_{16} \ u^{^{\dfrac{1}{2}}} \ du \\ \\ = \Bigg [\dfrac{u^{^{\dfrac{1}{2}+1}}}{\dfrac{1}{2}+1 } \Bigg]^0_{16} \\ \\ =\Bigg[ -\dfrac{u^{\dfrac{3}{2}}}{\dfrac{3}{2}}^0_{16} \Bigg] \\ \\[/tex]
[tex]= - \dfrac{2}{3}\Big( u^{\dfrac{3}{2}}\Big)^0_{16} \\ \\ = - \dfrac{2}{3} \Big(0^{^\dfrac{3}{2}}}- 16^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(0 - (4^2)^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(-(4)^{3}}\Big )[/tex]
[tex]= - \dfrac{2}{3} \Big(64\Big )[/tex]
∴
[tex]\mathbf{V = \dfrac{128}{3}}[/tex]
the of two numbers from a set of ten numbers is 4.5 . if one of the numbers is 6, find the number
Answer:
Step-by-step explanation:
The average of two numbers?
6+x = 4.5*2 = 9
x = 3
Find the missing side of this right triangle. [Pythagorean Theorem]
Answer: 12 x 7 = 72
Step-by-step explanation:
Answer:
Square root of 193
Step-by-step explanation:
7^2+12^2=x^2
Switch sides: x^2=7^2+12^2
After everything is squared: x^2=49+144
x^2=193 OR x=\sqrt{193}
Find the missing lengths leave your answers as radicals in simplest form
Step-by-step explanation:
w = 4
y = 4√2
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
Find the surface area of the figure
a. 150 square cm
b. 228.4 square cm
c. 78.4 square cm
d. 210 square cm
Answer:
c
Step-by-step explanation:
2 Each Saturday Mr. Franklin teaches 3 piano lessons at his music school and 4 piano lessons in students' homes. For each lesson at his music school, he charges $15. • For each lesson in a student's home, he charges $20. Which set of equations can be used to find m, the amount of money in dollars Mr. Franklin earns from piano lessons each Saturday? F 15 x 4= 60 20 X 3 = 60 60 + 60 = m G 15 = 3 = 5 20:4= 5 5 + 5 = m H 15 x 3 = 45 20 x 4 = 80 80-45 = m J 15 x 3 = 45 20 x 4 = 80 45 + 80 = m
Answer:I Don't Know
Step-by-step explanation:
the figure below shows a semicircular arch tunnel
Answer:
312.5
Step-by-step explanation:
8. What must be the mass of a model rocket engine be in grams to develop an
acceleration of 520 m/s2 when subjected to a force of 11.2 N? Please include the equation, it would really help me out, thanks so much!
Answer:
20 grams
Step-by-step explanation:
I did this, but I'm not sure if I'm 100% correct. Here is my answer though:
m=F/a
m=11.2/520
m=0.02kg
0.02kg=20 grams
Answer:
0.02kg
Step-by-step explanation:
Examples of application of factoring in your work environment.
Answer:
dividing something into equal pieces, exchanging money, comparing prices, understanding time and making calculations during travel
Step-by-step explanation: