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diamong [38]
3 years ago
13

15 is 6% of what number?

Mathematics
2 answers:
Lelu [443]3 years ago
8 0

Divide 15 by 6%

15 / 0.06 = 250

15 is 6% of 250

Simora [160]3 years ago
5 0

Answer:40

Step-by-step explanation:

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Answer:

Point of intersections are (0, -7) and (5, -2).

Step-by-step explanation:

From the graph attached,

A straight line is intersecting the circle at the two points (0, 7) and (5, -2).

Now solve algebraically,

Equation of the line → y = x - 7 -------(1)

Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)

By substituting the value of y from equation (1) to equation (2)

(x - 5)² + (x - 7 + 7)² = 25

(x - 5)² + x² = 25

x² - 10x + 25 + x² = 25

2x² - 10x = 0

x² - 5x = 0

x(x - 5) = 0

x = 0, 5

From equation (1),

y = 0 - 7 = -7

y = 5 - 7 = -2

Therefore, point of intersections are (0, -7) and (5, -2).

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The weight of a package of mints is believed to be normally distributed with mean 21.37 grams and standard deviation 0.4, i.e. X
nasty-shy [4]

Answer:

P(21

And using a calculator, excel or the normal standard table we have that:

P(-1.85

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weigths of a population, and for this case we know the distribution for X is given by:

X \sim N(21.37,0.4)  

Where \mu=21.37 and \sigma=0.4

Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

We can find the probability required with the following z score formula:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}


And replacing we got:

P(21

And using a calculator, excel or the normal standard table we have that:

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