When Milo got promoted at work he received a 20% pay raise. He now earns $72,000 a year. What was his annual salary before the raise?
Chen is checking a division problem by doing the following:
152
× 4
______
+ 2
______
What problem is Chen checking?
What is the volume of a rectangular prism that has the height of 3 in in base of 14 square inches
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
soymeal is 14 percent protein cornmeal is 7 percent protein how many pounds of each should be mixed together in order to get 280-lb mixture that is 9 percent protein
Can you help me please.........................
area of shaded figure = l x w = 24 *18 = 432
area of white square = 12*12 = 144
area of shaded part = 432-144 = 288 m^2
Answer is A
point slope for (3,21) and (6,12)
can 0.91919191 be written as a fraction?
Final answer:
Yes, 0.91919191 can be written as a fraction. The fraction form is 91919191/9999999.
Explanation:
Yes, 0.91919191 can be written as a fraction. To convert a repeating decimal to a fraction, we can use the following steps:
Let x be the repeating decimal.Multiply both sides of the equation x = 0.91919191... by a power of 10 that moves the decimal point to the right of the repeating part (8 digits in this case): 10000000x = 91919191.91919191...Subtract the original equation (x) from the new equation (10000000x) to eliminate the repeating part: 10000000x - x = 91919191.91919191... - 0.91919191...Simplify the equation: 9999999x = 91919191Divide both sides of the equation by 9999999 to solve for x: x = 91919191/9999999Therefore, 0.91919191 can be written as the fraction 91919191/9999999.
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 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?
What's the answer to find y when x=9 if y varies directly as the square of x ,and y =100 when x= 5
Ratio equivalents to 1:2
On a survey mission,a pilot flew out to a parcel of land and back in 7h. The rate flying out was 120mph. The rate flying back was 90mph.how far away was the parcel of
To find the distance, multiply the speed by the time for each leg of the trip and add them together to get the total distance of 735 miles.
Explanation:To find the distance to the parcel of land, we can use the formula Distance = Speed x Time. Since the pilot flew out and back, we can calculate the distance for each leg of the trip and then add them together.
Distance going out = Speed x Time = 120 mph x (7/2) hours = 420 miles
Distance coming back = Speed x Time = 90 mph x (7/2) hours = 315 miles
Total distance = Distance going out + Distance coming back = 420 miles + 315 miles = 735 miles
There is 1/4 ounce of yeast in every 2 1/4 teaspoons of yeast. A recipe for bread calls for 2 teaspoons of yeast. How many ounces of yeast are needed for this ecipe
(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.)
Abby did 121 sit ups in 8 minutes .estimate the number of sit-ups she did in 1 minute.
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.
Learn more about Gas Mileage here:https://brainly.com/question/33812030
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What is 121,356 rounded to the nearest 10,000? Is it 120,000?
Last question please that I need
The model represents an equation. What value of x makes the equation true?
A)
2
B)
4
7
C)
−2
D)
−
4
7
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.
Which ordered pair comes from the table?
X Y
2 1
3 4
4 4
5 2
A. (1,2)
B. (4,3)
C. (2,1)
D. (2,5)
Answer:
Option C is correct
(2, 1) ordered pair comes from the table
Step-by-step explanation:
Ordered pair states that an ordered pair contains the coordinate of points in the coordinate plane in the form of (x, y)
Given the table:
X Y
2 1
3 4
4 4
5 2
Ordered pairs for this table are:
From the definition, we have;
(2, 1), (3, 4), (4, 4) and (5, 2)
Therefore, the only ordered pairs comes from the table is, (2, 1)
write the numerical expression in words then solve (98-78)×11
Solve for w . =−40−w6 Simplify your answer as much as possible.
Let x be the number of successes throughout n independent repetitions of a random experiment having probability of success p=1/4. determine the smallest value of n so that p(1<=x)>=0.7
To answer problems like this you have to use binomial:
P (x > 1) = 1 – p (0 < x < 1) > .7
So:
1 – p (0) – p (1) > .7
1 – (3/ 4) ^n – (3/ 4) ^n (n – 1 ) (1/ 4) > .7
Therefore n > 5.185, and the smallest value of n so that we can satisfy the given condition is 6 (rounded up)
The least squares method is a mathematical procedure used to identify the linear equation that best fits a set of ordered pairs.
a. True
b. False
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
the tree in Debra backyard is 7.5m high. how high is it in centimeters
choose the ratio that you would use to convert 5.5 pounds to ounces
Answer:
A. 16 ounces/1 pound
Step-by-step explanation:
Remember that: 1 pound (lb) is equal to 16 Ounces (oz).
Then you have to find a ratio to convert 5.5 pounds to ounces.
If you write: 5.5 pounds, you have to find a ratio that eliminates pounds in order to get ounces:
5.5 pounds*16 ounces/1 pound
In this way pounds in the numerator is eliminated with pounds from the denominator and the result you get is in units of ounces.
5.5 pounds*16 ounces/1 pound=88 ounces
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?