85)A new car worth $20,000 loses 20% of its value every year. Is the value of the car represented by a linear or exponential
function?
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Find the next three terms of the sequence –8, 24, –72, 216, . . .A 648, –1944, 5832 B 248, –616, 248 C 216, –648, 1944 D –648, 1944, –5832
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PLEASE ANSWER ASAP! ANSWER MUST INCLUDE EXPLANATION IN ORDER TO RECEIVE 10 POINTS AND THE BRAINLIEST ANSWER! THANKS!!!
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Answer:2.2
Step-by-step explanation:100.8-98.6=2.2
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Minus the following
=> 42.45 dollars fica tax
=> 90.33 dollars = income tax
=> 2% state tax which is equals to 15.7 dollars
=> 1% city tax which is equals to = 7.85 dollars
=> 3% retirement fund equals to = 23.55 dollars
Total = 179.88 dollars
=> 785 dollars - 179.88 = 605.12 is his weekly net income.
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Answer:
So then we expect the 99.7% of the finishing times would be between 68.5 s and 83.5 s for the 400 meters race
Step-by-step explanation:
Let X the random variable who represent the finishing times.
From the problem we have the mean and the standard deviation for the random variable X.
So then the parameters are
On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:
The probability of obtain values within one deviation from the mean is 0.68, within two deviations we have 0.95 and within 3 deviations from the mean is 0.997
And from this rule we have 99.7 % of the values within 3 deviations from the mean, so we can find the limits like this:
So then we expect the 99.7% of the finishing times would be between 68.5 s and 83.5 s for the 400 meters race
Final answer:
The middle 99.7% of Tyler's finishing times in the 400 meter race is from 68.5 seconds to 83.5 seconds.
Explanation:
The empirical rule, also known as the 68-95-99.7 rule, states that for data that follows a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
To determine the interval of times that represents the middle 99.7% of Tyler's finishing times, we need to find the range of values that is three standard deviations above and below the mean.
Using the given mean of 76 seconds and standard deviation of 2.5 seconds, we can calculate the interval of times as follows:
Lower Limit: 76 - (3 * 2.5) = 76 - 7.5 = 68.5 seconds
Upper Limit: 76 + (3 * 2.5) = 76 + 7.5 = 83.5 seconds
Therefore, the interval of times that represents the middle 99.7% of Tyler's finishing times is from 68.5 seconds to 83.5 seconds.
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The number of penguins is 15.
What is a ratio?
The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
The ratio of dolphins to penguins = 2:5
This means,
For every 2 dolphins, there are 5 penguins.
Now,
For 6 dolphins,
2 dolphins = 5 penguins
Multiply 3 on both sides.
6 dolphins = 15 penguins
Thus,
There will be 15 penguins.
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The distance d is x times pi times 100. One divides back by pi and by y to get the # of revolutions (that 100 :)) ) and so one gets
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The volume of the container is approximately 502 cubic inches.
What is a cylinder?
A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.
Given information:
A cereal company packs its oatmeal into cylindrical containers.
The height of each container is 10 inches, and the radius of the bottom is 4 inches
The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.
In this case, the radius is 4 inches and the height is 10 inches. Substituting these values into the formula, we get:
V = π(4²)(10)
V = 160π
Using a calculator, we can approximate π to be 3.14 and calculate the volume:
V ≈ 160(3.14)
V ≈ 502.4
Therefore, the volume of the container is approximately 502 cubic inches.
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To find the area of the base (the circle on the top or bottom), we use the formula
A = π r²
A= π 4² = π 16
Now multiply by 10 (the height) and we get 10 x π x 16 or 160π in³
Some teachers allow you to leave the answer in π units. Other want you to multiply it by 3.14
So the answer is 160π in ³ or 502.4 in ³