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NeTakaya
3 years ago
6

When you Divide a whole number by a fraction with a numerator of one explain how you can find the quotient

Mathematics
1 answer:
kumpel [21]3 years ago
6 0
Well for example: 10/1 divided by 1/2
What you will do you would flip 1/2 it would now become 2/1
Then you change the sign to multiplication so your equation will look like 10/1*2/1 then just multiply from there on out.
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The triangles are similar. what is the value of x ?
jonny [76]

\dfrac{32}{4x+12}=\dfrac{8}{15}\\\\ \dfrac{8}{x+3}=\dfrac{8}{15}\\\\ x+3=15\\\\ x=12

6 0
3 years ago
Helppp me please !!!!!!!
Vinil7 [7]

Answer:

12.6

Step-by-step explanation:

To find the area of a cylinder, you find the area of the circular base and multiply it by the height. Remember that the area of a circle is pi*r^2. R, the radius, is 2. Putting this into a calculator and rounding to the nearest tenth, you get 12.6. Now that we have the circle, we multiply by the height. Since the height is 1, we have our answer of 12.6.

8 0
3 years ago
Read 2 more answers
Police use a radar unit is used to measure speeds of cars on a freeway. The speeds are normally distributed with a mean of 90 km
vagabundo [1.1K]

Answer:

A. P(x≥100)=0.1587

B. P(x≤0)≈0

Step-by-step explanation:

A. Cause we know the distribution of the data, the method used to solve it is called "Normalization" and we need to have the Mean and the Standard deviation of the data. The method consist in the following equation

P(x≤a)=P( z=((x-μ)/σ) ≤ b=((a-μ)/σ) )

Considering <u>μ as the Mean</u> and <u>σ as the Standard deviation</u>. At first, we had a probability in the normal distribution with Mean=90 and STD=10 but <u>that kind of exercises is not meant to find that probability directly but by using this process</u>.

After we normalize the probability, now <u>we have a probability in a specific normal distribution that has Mean=0 and STD=1 and the difference with what we had before is that now we are able to use tools to find probabilities in a normal standard distribution</u>. My favorite of them is a chart that show the approximate values of a lot of probabilities (i attached it to this answer). I´m going to explain point A as an example:

We look for the probability that P(x≥100), but we don´t have an easy method to use there, so we normalize:

P(x≥100)=P( (x-μ)/σ ≥ (100-μ)/σ )

P(x≥100)=P( z ≥ (100-90)/10 )

P(x≥100)=P( z ≥ 1 )

And now we are able to use the chart, let me explain: First, the chart only works with P(z ≤ b), so we have to change it with properties of probabilities before using the table.

P(z≥1)=1-P(z≤1)

And finally we use the chart:

<u>the value of P(z≤1) is in the table, we look for the row with +1 and the column with the decimal part (in this case 0) and with coordinates (1,0) there´s the value</u>:

P(z≤1)=0.8413

But we need P(z≥1) so we use the previous equality

P(z≥1)=1-P(z≤1)

P(z≥1)=1-0.8413

P(z≥1)=0.1587

Because P(x≥100)=P(z≥1), our final answer is 0.1587

B. We use the same process to try to understand what the probability of P(x≤0) represents.

P(x≤0)=P(z≤ (0-90)/10)

P(x≤0)=P( z ≤ -9 )

But when we try to look for its value in the chart It isn´t even there, what could it mean?

<u>A normal distribution function is always increasing</u>, that means that "a≤b if and only if P(x≤a) ≤ P(x≤b)". so we conclude:

P(z≤-9) ≤ P(z≤-3) (The lowest probability in the chart)

P(z≤-9) ≤ 0.0013

P(z≤-9) is way lower than 0.0013 (they aren´t even close) but we know that probability is always positive,  and because of that:

P(x≤0)=P(z≤-9)≈0

5 0
2 years ago
a record store is having a sale during which all items will be sold at 25% less then marked prices. How much will a CD marked $1
BARSIC [14]

Answer:

$12

Step-by-step explanation:

If you're taking off 25% of the regular cost, "taking off" means subtracting.  So if we subtract 25% OF 16, the word "of" means to multiply here.  So our expression then becomes:

16 - .25(16)

16 - 4 = 12

So the CD will sell for $12.

4 0
3 years ago
Starting at sea level, a submarine descended at a constant rate to a depth of − 4/5 mile relative to sea level in 3 minutes.
Jobisdone [24]
If it were 4 then it would be 1 1/3 for one minute
5 0
3 years ago
Read 2 more answers
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