Answer:
53
Step-by-step explanation:
The planet Mars has a radius of 3400 km. What is the volume of Mars?
Write your answer in scientific notation to three decimal places.
Answer:
1.646×10¹¹ km³.
Step-by-step explanation:
From the question given, we obtained the following information:
Radius (r) = 3400 km
Volume (V) =.?
The shape of a planet is spherical in nature. Thus, we shall apply the formula for calculating the volume of a sphere to obtain the volume of Planet Mar as illustrated below:
Radius (r) = 3400 km
Pi (π) = 3.14
Volume (V) =.?
Volume of a sphere = 4/3 πr³
V = 4/3 × 3.14 × (3400)³
V = 4/3 × 3.14 × 3.9304×10¹⁰
V = 1.646×10¹¹ km³
From the calculations made above, the volume of Planet Mar is 1.646×10¹¹ km³
Suppose you work for a company that manufactures electronics. The development analysts estimate that 5% of their flagship product will fail within 2 years of the purchase date, with a replacement cost of $ 1200. A newly hired associate at the company proposes to charge $ 50 for a 2-year warranty. 1. Compute the expected value of this proposal. Let X be the amount profited or lost (by the company) on the warranties and P(X) is the probability. 2. Interpret the expected value in complete sentences.
The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.
Interpretation of the expected value:
The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses.
To compute the expected value of the proposal, we need to calculate the amount profited or lost (X) by the company on the warranties and the probability (P(X)) of each outcome.
Now, we have,
The product doesn't fail within 2 years, and the company earns $50 from the warranty.
The product fails within 2 years, and the company incurs a replacement cost of $1200 but keeps the $50 warranty fee.
The probability of the product not failing within 2 years is 1 - 0.05 = 0.95,
and the probability of the product failing within 2 years is 0.05.
Now, we have to find the expected value (E(X)):
[tex]E(X) = P(X_1) * X_1 + P(X_2) * X_2[/tex]
Where:
[tex]P(X_1)[/tex] = Probability of the product not failing within 2 years = 0.95
[tex]X_1[/tex] = Amount profited when the product doesn't fail within 2 years = $50
[tex]P(X_2)[/tex] = Probability of the product failing within 2 years = 0.05
[tex]X_2[/tex] = Amount lost when the product fails within 2 years = -$1150 (Replacement cost of $1200 - $50 warranty fee)
E(X) = 0.95 * $50 + 0.05 * (-$1150)
E(X) = $47.50 - $57.50
E(X) = -$10
The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.
Interpretation of the expected value:
The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses. As a result, the company might want to reconsider the pricing of the warranty or look for other ways to reduce the potential costs associated with the product failures.
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MO bisects LMN mLMN = 8x-23 and mLMO= 2x+37 solve for x and find LMN
Answer:
see explanation
Step-by-step explanation:
Since MO bisects ∠ LMN then
∠ LMO and ∠ NM0 are congruent, thus
∠ LMN = ∠ LMO + ∠ NMO , substitute values
8x - 23 = 2x + 37 + 2x + 37 = 4x + 74 ( subtract 4x from both sides )
4x - 23 = 74 ( add 23 to both sides )
4x = 97 ( divide both sides by 4 )
x = 24.25
Thus
∠ LMN = 8x - 23 = 8(24.25) - 23 = 194 - 23 = 171°
Rochelle knows that the music on her computer is stored in the form of numbers. Which hardware component processes these numbers into a form that her speakers can play as music?
control unit
random access memory
monitor
ALU
Answer:
ALU: arithmetic logic unit
Step-by-step explanation:
ALU is the part of a computer processor (CPU) that carries out arithmetic and logic operations on the operands in computer instruction words
1
This angle pair makes a straight line, so they are supplementary
130
50
A True
B False
Answer:
True
Step-by-step explanation:
Supplementary angles always equal to 180 degrees, and the sum of 130 and 50=180 degrees.
Pls help pls ASAP 1,2,3,4
Answer:
3
Step-by-step explanation:
Answer: the third on i think
Step-by-step explanation:
Which angles are right?
Check all that apply.
A. GFE
B. MLK
C. EFH
D. KLJ
Answer:
<MLK
<EFH
<KLJ
Step-by-step explanation:
Each Is At A Right Angle, I Just Answered This On My Quiz.
Eight less than four times a number is less than 56. What are the possible values of that number?
X>12
X<12
X<16
X>16
Answer:
4x-8<56
4x<64
x<16
Answer:
hu
Step-by-step explanation:
j
Rey is considering buying shares of TWA stock. The stock currently sells for $50 per share. The stock changes in value at 9:00 am each day, either increasing in value by $11 or decreasing in value by $13. The stock will increase in value with 40% probability, and decrease in value with 60% probability. The stock follows a random walk. In two days, what is the probability that the TWA stock is greater than $30
Answer: 64%
Step-by-step explanation:
Given the following :
Current price of stock = $50
Probability of increase per day = 40% = 0.4
Probability of decrease = 60% = 0.6
Value of increase = $11
Value of decrease = $13
Probability that stock is greater than $30 in two days :
For stock to be greater than $30 in two days ;
It either increases in both days or increases in a day and falls the other
Hence, probability that stock is greater than $30
P(increase and increase) OR P(increase and decrease) OR P(decrease and increase)
(0.4 × 0.4) + (0.4 × 0.6) + (0.6 × 0.4)
0.16 + 0.24 + 0.24 = 0.64
0.64 × 100 = 64%
Add a taco truck, Jeffrey ordered 3 pork tacos and 2 steak tacos. If p represents the cost of a pork taco, and s represents the cost of a steak taco, write an expression that represents the total cost of the order.
Answer:
3p + 2s = c
Step-by-step explanation:
He ordered 3 pork tacos so it would be 3 times p and he ordered 2 steak tacos so it would be s times 2
Answer:5 is the answer
Step-by-step explanation:
3p+2s+5
7. Chantel Monroe charges $3.75 per page for typing rough drafts and an
additional $0.50 per page for changes and deletions. A manuscript had
212 pages, of which 147 pages had changes and deletions. What was
the total cost of typing the manustript?
answer
212 - 147 = () times 3.75
147 × 4.25 =
add them together and that's the total amount
can somebody help me !
Answer:
angle 1
Step-by-step explanation:
all others are congruent
In a sample fruit basket, there are 2 apples for every 3 oranges.
To make a large fruit basket with the same ratio using 20 apples, how many oranges are needed?
Help me please?!
Answer:
B 32
Step-by-step explanation:
30 oranges would be required to maintain the same ratio with 20 apples.
Solving linear equation.In the example fruit basket, there are 2 apples for every 3 oranges, based on the provided ratio.
We must establish a proportion in order to determine how many oranges are required to keep the same ratio with 20 apples.
Let "x" stand for the required quantity of oranges.
The ratio can be configured as follows:
20 apples/x oranges = 2 apples/3 oranges.
Cross-multiplication allows us to find the value of "x":
3(20) = 2x
2x = 60
x = 30
As a result, 30 oranges would be required to maintain the same ratio with 20 apples.
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6.204 = 6 + 0.2+ ? What is it?
Answer:
0.004
Step-by-step explanation:
6.204 = 6 + 0.2 + 0.044.
The answer is 0.004.
Simplify the ratio 24/36
Answer:
2:3
Step-by-step explanation:
24:36
24÷12=2
36÷12=3
Answer=2:3
Answer:
2 : 3
Step-by-step explanation:
24/36 ?
[tex] \frac{24}{36} \div \frac{12}{12} \\ = \frac{24 \div 12}{36 \div 12} \\ = \frac{2}{3} [/tex]
2/3 = 2 : 3
Can somebody explain to me how to solve this problem? I'm confused
Step-by-step explanation:
g(x) = f(2x), so g(x) is f(x) compressed by a factor of 2.
So if the domain of f(x) is [1, 5], then the domain of g(x) is [1/2, 5/2].
a 2-pack of frozen burritos costs 2.32.what is the unit price ?
The ground temperature at Brigham Airport is 17 °C. The temperature decreases by 4.9 °C for every increase of 1 kilometer above the ground. What is the
temperature outside a plane flying at an altitude of 5 kilometers?
Answer:
should be -7.5
Step-by-step explanation:
4.9×5=24.5
17-24.5=-7.5
The baker fits 26 rolls onto a pan that measures 1 5/ 8 ft.² how many square feet does the Baker use for each roll? Show your work.
Answer:
1/16ft²
Step-by-step explanation:
If 26 rolls fits into 1 5/8 ft² pan, then for us to get the number of square feet for each roll, we will fillw the steps;
26rolls = 1 5/8ft²
1 roll = xft²
26 rolls = 13/8 ft²
1roll = xft²
Cross multiply
26×x = 1×13/8
26x = 13/8
Ceoaa multiply
26x×8 = 13
208x = 13
x =13/208
x = 1/16 ft²
Hence the baker uses 1/16ft² for each roll
A cupcake shop earns $950 a day. The total amount of earning varies directly with the number of days. Find the total earnings the cupcake shop earns in 5 days.
The correct answer is $4750
Explanation:
If the money earned varies directly with the number of days, this means one factor makes increase the other. In other others, the more days, the higher the earnings. Moreover, the total earnings can be calculated by multiplying the amount earned in one day ($950) by the total days (5). The process is shown below.
Total earnings = Amount earned by day x days
Total earnings= 950 ×5
Total earnings= $4750
What is the value of n?
Answer: 3 cm
Step-by-step explanation:
Set up a proportion to find the value of n. 4/8 = n/6Cross multiply. 8x = 24Divide 8 on both sides. x = 3On the teacher’s desk there were r boxes of pencils, 20 pencils in each. If 23 students got p pencils each, how many pencils are still on the teacher’s desk?
Answer:
20r-23p
Step-by-step explanation:
Find the midpoint of the line segment with the given endpoints (-3,1 -2,8) (-4.92,-3.3)
Answer: (4.01, -3.05)
Step-by-step explanation:
Use the midpoint formula (x1+x2/2,y1+y2/2)
-3.1 + -4.92 /2 =4.01
-2.8 + -3.3 /2 = -3.05
(4.01, -3.05)
18/42=X/14 solve the proportion
Answer:
x = 6
Step-by-step explanation:
Each side of a regular pentagon is m+10 inches. The formula for finding the perimeter of the pentagon is shown below.
Answer:
5m+50
Step-by-step explanation:
since it's regular all sides are equal
it's have 5 sides of m+10
[tex]P=5(m+10)\\\\P=5m+50[/tex]
Evaluate
5 + 3x for x = -3
I need help on this
[tex]\text{Hello! :)}[/tex]
[tex]\large\boxed{-4}[/tex]
[tex]\text{Substitute in -3 for "x" in the equation:}[/tex]
[tex]5 + 3(-3) = \\\\5 + (-9) = \\\\5 - 9 = -4[/tex]
Is this statement true or false?
The period before we have written records is called prehistory
true
false
It's history
PLZ Help
This is due by 2:20
Answer:
The answer is 60 degrees.
Step-by-step explanation:
The three angles in any triangle add up to 180 degrees.
You know by the box at the bottom right that it's a right triangle and therefore that angle is 90 degrees. They also give you the 30 degree angle at the bottom left. So:
90 degrees + 30 degrees = 120 degrees.
180 degrees (total) - 120 degrees (first 2 angles) = 60 degrees (missing angle)
Hope this helps!
HELP!!! Need Some Homework Help!
Answer:
( -4, 7 )
Step-by-step explanation:
The difference between (2,3) and (-1,5) is (-3,2)
Because (-3,2) is the length of half the line we need to add that figure to M to get point S
(-1,5) plus (-3,2) is (-4,7)
The water level in a pool drops 8 iches in a day so what is the average level drop in each hour
Answer:
0
Step-by-step explanation:
becuse 8 is in a day and the only thing could be 0 becuse in a hour you might not get much in an hour cuz an day is 24 hours but there might be a chance to be 1 but its mostly 0.