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2 years ago

Consider the following 8 numbers, where one labelled x

Mathematics

1 answer:

zvonat [6]2 years ago

5 0

Step-by-step explanation:

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

we see that the visible 7 numbers have a range of 50-17 = 33.

that means that x has to make sure that the range really is 69.

so, we have indeed 2 choices : x can be the lowest value (with a difference of 69 to the highest value, 50), or x can be the highest value (with a difference of 69 to the lowest value, 17).

x as the lowest value :

x = 50 - 69 = -19

x as the highest value :

x = 17 + 69 = 86

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Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability t

erma4kov [3.2K]

To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is

$\dfrac{\dbinom{13}1\cdot\dbinom{39}0}{\dbinom{52}1}=\dfrac{13\cdot1}{52}=\dfrac14$

When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same, $\dfrac14$ . In other words, drawing a spade is independent of having drawn the heart first.

So the probability of drawing a heart, replacing it, then drawing a spade is $\dfrac14\cdot\dfrac14=\dfrac1{16}$ .

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The mean and standard deviation of a normal distribution are 150 and 12 respectively. What percentage of values lie between:

Semenov [28]

Answer:

Step-by-step explanation:

Use a calculator with built-in statistical functions. The function applying here is normcdf(, the "cumulative density function."

(a) The percentage of values lying between 138 and 162 is

norm(138,162, 150, 12), which comes out to 0.683, or 68.3%.

(b) Find norm(126, 174, 150,12): 0.945, or 94.5%

(d) Find norm(162, 174,150,12): 0.136, or 13.6%

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Alex had $750,000 he lost 80% how many dollars did he lose

Stels [109]

Answer:

$600,000

Step-by-step explanation:

GIven;

Alex had $750,000 he lost 80%

To Find;

How many dollars did he lose

Solve;

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