To convert grams per cubic centimeter to pounds-mass per cubic foot, you can use the conversion factors. By applying the conversion factors of 1 lb = 454 g and 1 ft³ = (30.5 cm)³, you can calculate that 40 grams per cubic centimeter is equal to 500 pounds-mass per cubic foot.
Explanation:To convert grams per cubic centimeter to pounds-mass per cubic foot, we need to use conversion factors. Firstly, we need to convert grams to pounds by using the conversion factor 1 lb = 454 g. Then, we convert cubic centimeters to cubic feet by using the conversion factor 1 ft³ = (30.5 cm)³. Finally, we combine the two conversion factors to find the desired unit: pounds-mass per cubic foot.
Given:
40 grams per cubic centimeterConversion factor:
1 lb = 454 g1 ft³ = (30.5 cm)³Calculation:
40 g/cm³ * (1 lb/454 g) * [(30.5 cm)³/1 ft³] = 40 * 1/(454 * (30.5)³) lb/ft³Simplifying the calculation gives:
40/(454 * (30.5)³) lb/ft³ = 500 lbm/ft³Therefore, 40 grams per cubic centimeter is equal to 500 pounds-mass per cubic foot.
how can you use compensation to find 8 x 903?
Cases are normally sold full. There were three partially full cases that could be combined to make full cases. The cases were 11/16, 5/16 and 7/16 full.
A 24-ounce mocha beverage with whipped cream has 25% of the calories allowed on a 2,000-calorie-per-day diet. What percentage of a 2,500-calorie-per-day diet would this same drink constitute?
Answer:
c
Step-by-step explanation:
Ratio equivalents to 1:2
(b) what is the probability that more than eleven loads occur during a 4-year period
In a 4-year period, expect around 2 loads (Poisson model). Over 11 loads is likely (80% chance). No loads for 5.8 years or more guarantees under 30% chance.
In a Poisson process with a mean time between occurrences of λ = 0.4 years, we can answer your questions as follows:
**(a) Expected number of loads in 4 years:**
The expected number of events in a Poisson process is the product of the mean occurrence rate (λ) and the time interval (t). Therefore, in a 4-year period, you can expect:
Expected loads = λ * t = 0.4 years/load * 4 years ≈ 1.6 loads
However, since the Poisson process deals with discrete events, the expected value doesn't necessarily translate to an exact number of occurrences. It represents the average number of loads you would expect to see over many repetitions of the same 4-year period.
**(b) Probability of more than 11 loads in 4 years:**
To calculate the probability of more than 11 loads, we need to find the probability of 12 or more loads. In a Poisson process, the probability of k events occurring in a time interval t is given by:
P(k events) = (e^(-λt) * (λt)^k) / k!
For k = 12 and λt = 4 * 0.4 = 1.6:
P(more than 11 loads) = 1 - P(0 loads) - P(1 load) - ... - P(11 loads)
≈ 1 - (e^(-1.6) * 1.6^0) / 0! - (e^(-1.6) * 1.6^1) / 1! - ... - (e^(-1.6) * 1.6^11) / 11!
≈ 1 - 0.1995 ≈ 0.8005
Therefore, the probability of having more than 11 loads in a 4-year period is approximately 0.801 (rounded to three decimal places).
**(c) Time period for at most 0.3 probability of no loads:**
We want to find the time period (t) where the probability of no loads (P(0 loads)) is at most 0.3. In other words, we need to solve:
P(0 loads) = e^(-λt) ≤ 0.3
Taking the natural logarithm of both sides and rearranging:
t ≥ -ln(0.3) / λ ≈ 2.303 / 0.4 ≈ 5.76 years
Therefore, the time period must be at least 5.76 years (rounded to four decimal places) for the probability of no loads to be at most 0.3.
The probable question may be:
An article suggests that a Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.4 year.
(a) How many loads can be expected to occur during a 4-year period?
(b) What is the probability that more than eleven loads occur during a 4-year period? (Round your answer to three decimal places.)
(c) How long must a time period be so that the probability of no loads occurring during that period is at most 0.3? (Round your answer to four decimal places.)
the diameter of a circle is 40 m find the area of the circle in term of pie?
40
Answer: The required area of the given circle is [tex]400\pi~\textup{m^2}.[/tex]
Step-by-step explanation: We are given that the diameter of a circle i 40 m.
We are to find the area of the circle in terms of pie.
We know that
the AREA of a circle with radius of length r units is given by
[tex]A=\p r^2.[/tex]
Since the diameter of the given circle is 40 m, so the length of the radius is given by
[tex]r=\dfrac{40}{2}=20~\textup{m}.[/tex]
Therefore, the AREA of the circle is given by
[tex]A=\pi r^2=\pi\times 20^2=400\pi~\textup{m}^2.[/tex]
Thus, the required area of the given circle is [tex]400\pi~\textup{m}^2.[/tex]
Helen rented a kayak at the lake. There is a charge of $6 as an initial fee and then $3 an hour for every hour that she uses the kayak. If the total charge is $21, how many hours did she kayak?
Evaluate xe^(x^2+y^2+z^2) where e is the portion of the unit ball x^2+y^2+z^2 < 1 that lies in the firat octant
Convert this improper fraction to a mixed number. 56/5 11 r 1 11 1/5 11.2 5/56
solve for f. f²-121=h²+22h
How would you Evaluate. 5⋅ 4 0
Determine whether each of these functions from {a, b, c, d} to itself is one-to-one.
a.f(a)=b,f(b)=a,f(c)=c,f(d)=d
b.f(a)=b,f(b)=b,f(c)=d,f(d)=c
c.f(a)=d,f(b)=b,f(c)=c,f(d)=d
What is the volume in cubic yards of a greenhouse that is 35 feet long, 10 feet wide, and 10 feet high?
Final answer:
To determine the volume of a greenhouse, multiply its length, width, and height to find its volume in cubic feet, then convert to cubic yards using the conversion factor of 1 cubic yard being equivalent to 27 cubic feet. The volume for the given dimensions is approximately 129.63 cubic yards.
Explanation:
The volume of a structure, including a greenhouse, is calculated by multiplying its length by its width by its height. The first step is to calculate the volume in cubic feet, then convert cubic feet to cubic yards knowing that 1 cubic yard equals 27 cubic feet. Here's how to calculate the volume of the given greenhouse:
Multiply the length, width, and height in feet to get the volume in cubic feet: 35 ft x 10 ft x 10 ft = 3500 cubic feet.Convert cubic feet to cubic yards using the conversion factor (1 cubic yard = 27 cubic feet): 3500 cubic feetTherefore, the volume of the greenhouse is 129.63 cubic yards.
Abby did 121 sit ups in 8 minutes .estimate the number of sit-ups she did in 1 minute.
What is 121,356 rounded to the nearest 10,000? Is it 120,000?
Sarah bought a shirt on sale for $35 the original price of the shirt was 3 times that amount sarah also bought a pair of shoes on sale for $28 the original price of the shoes was 5 times that amount together how much money did the shirt and shoes cost before they went on sale
What is the volume of a rectangular prism that has the height of 3 in in base of 14 square inches
identify the property that is being applied at each step to simplify the expression.
PLEEEAAASSSSEEEE HEEEELLLPPPPP
WOULD BE GGRRRREEEAAAATTTTLLLLYYYY APPRECIATED!!!!!!!!!!!!!!!!!
4^-5 *(4*9)^5*9^-3=4^-5*(4^5*9^5)*9^-3
=(4^-5*4^5)*(9^5*9^-3
=4^0*9^2
=1*9^2
=9^2
=81
The expression simplifies using multiple properties of exponents, including the power of a product, properties of exponents for multiplication and division, the zero exponent property, and squaring.
Explanation:The expression you're asking about applies multiple properties of exponents to simplify the given expression. To start, applying the power of a product property, it simplifies [tex](4*9)^5[/tex] to [tex]4^5*9^5[/tex]. Following that, the property of exponents for division is used to combine [tex]4^{-5[/tex] and [tex]4^5[/tex], leading to [tex]4^0[/tex], as well as [tex]9^5[/tex] and [tex]9^{-3[/tex], resulting in [tex]9^2[/tex]. The zero exponent property translates [tex]4^0[/tex]into 1. Lastly, the square of 9 gives the end result of 81.
In summary, these are the properties applied: power of a product, properties of exponents for multiplication and division, zero exponent property, and squaring.
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if the coefficient of determination for a data set is 0.25 and the SSE for the data set is 24, what is the SST for the data set?
Answer: SST for the data set is 32.
Step-by-step explanation:
Since we have given that
Coefficient of determination = R² = 0.25
Value of SSE = 24
We need to find SST.
As we know the formula for "Coefficient of determination":
[tex]R^2=1-\dfrac{SSE}{SST}[/tex]
We will put the above mentioned value:
[tex]0.25=1-\dfrac{24}{SST}\\\\0.25-1=-\dfrac{24}{SST}\\\\-0.75=-\dfrac{24}{SST}\\\\SST=\dfrac{24}{0.75}\\\\SST=32[/tex]
Hence, SST for the data set is 32.
Una piscina completamente llena se puede vaciar por un desagüe en 10 horas, y por otro, en 15 horas. Si se abren ambos de desagüe simultáneamente. en cuanto tiempo variarán la piscina?
The model represents an equation. What value of x makes the equation true?
A)
2
B)
4
7
C)
−2
D)
−
4
7
Kai picked 11 times as many blueberries as Nico. Together, they picked 936 blueberries. how many blueberries did each boy pick?
Answer: Number of blueberries picked by Nico =78
Number of blueberries picked by Kai =858
Step-by-step explanation:
Given : Kai picked 11 times as many blueberries as Nico.
Let , Number of blueberries picked by Nico =x
Then, Number of blueberries picked by Kai = 11x
Together, they picked 936 blueberries.
[tex]\Rightarrow\ x+11x=936\\\\\Rightarrow\ 12x=936\\\\\Rightarrow\ x=\dfrac{936}{12}=78[/tex]
Now, Number of blueberries picked by Nico =78
Then, Number of blueberries picked by Kai = 11(78) =858
the tree in Debra backyard is 7.5m high. how high is it in centimeters
piano and pipe organs contain keyboard a portion of which is shown Express the ratio of Black Keys to white keys in the picture above three different ways to simplify if possible Final Solution in a complete sentence
Black keys 6
white keys 8
The ratio should be 3:4
Given that,
Black keys 6 and white keys 8Based on the above information, the calculation is as follows:
= 6:8
= 3:4
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The number of surface flaws in plastic panels used in the interior of automobiles has a poisson distribution with a mean of 0.05 flaw per square foot of plastic panel. assume an automobile interior contains 10 square feet of plastic panel. (a) what is the probability that there are no surface flaws in an auto's interior? (b) if 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws? (c) if 10 cars are sold to a rental company, what is the probability that at most one car has any surface flaws?
The ling family wants to purchase a television that costs $449. The store that sells the television has multiple locations in different counties. The sales tax for each county is shown. Complete the table below by arranging the counties from least to greatest sales tax rate. Write each sale tax as a percent
Write words to match the expression, 3 + (4 × 12)
calculate gas mileage of car that drives 283 miles on 12.3 gallons of gas andround to nearest tenth of a mpg
The gas mileage of a car that drives 283 miles on 12.3 gallons of gas is approximately 23.0 miles per gallon, when rounded to the nearest tenth.
Explanation:Gas mileage is determined by dividing the total miles driven by the gallons of gas consumed. In this scenario, 283 miles were covered using 12.3 gallons of gas. The calculation yields approximately 22.97 miles per gallon (mpg), but rounding to the nearest tenth results in 23.0 mpg. This figure represents the efficiency of the vehicle in terms of fuel consumption, offering a quick and easy measure for assessing its economic and environmental impact. Monitoring gas mileage is crucial for budgeting and understanding the ecological footprint of transportation choices, promoting conscientious and efficient use of fuel resources.
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Find p((5 on green die and 3 on red die) or (3 on green die and 5 on red die)). (enter your answer as a fraction.)
The probability of rolling a 5 on the green die and a 3 on the red die, or a 3 on the green die and a 5 on the red die is calculated by summing their individual probabilities, leading to a final probability of 1/18.
To solve this probability question, we will use the fundamental counting principle and basic probability rules. We have two six-sided dice, one green and one red. The question specifies two separate events:
The green die shows a 5 and the red die shows a 3.
The green die shows a 3 and the red die shows a 5.
Since each face on a fair six-sided die has an equal chance of appearing, the probability of getting any specific number is 1/6. When we roll two dice, the probability of any specific outcome is (1/6) x (1/6), which simplifies to 1/36.
Since there are two independent events that satisfy the question, we can add the probabilities of each event occurring:
Probability of a 5 on green die and 3 on red die = 1/36
Probability of a 3 on green die and 5 on red die = 1/36
Adding them up, we get 1/36 + 1/36 = 2/36, which simplifies to 1/18. Therefore, the probability of getting either a (5 on the green die and 3 on the red die) or (3 on the green die and 5 on the red die) is 1/18.
Last question please that I need