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2 years ago

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Which expression represents "10 subtracted from the quotient of 3 and a number"? a. 3n-10 b. 3/n - 10 (the / is a fraction bar)

c. 10 - 3n d. 10 - 3/n (the / is a fraction bar)

1 answer:

kiruha [24]2 years ago

4 0

B. because it is 10 being subtracted from the fraction.

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Prove the following using a proof by contradiction:The average of four real numbers is greater than or equal to at least one of

skelet666 [1.2K]

Answer:

By contradiction it can be proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

Step-by-step explanation:

Method of contradiction means we assume opposite to the facts to be proved and then we contradict our assumption.

As a result, we prove the fact.

Here, let the four number be:

$p, q, r, s$

The average will be Sum of all numbers divided by count of numbers.

$\dfrac{p+ q+ r+ s}4$

Now, let us assume the opposite that the average is less than all the numbers.

i.e.

$\dfrac{p+ q+ r+ s}4$

$\dfrac{p+ q+ r+ s}4$

Now, let us add all of them:

$\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 < p+q+r+s\\\Rightarrow \dfrac{4(p+q+r+s)}4$

Which can never be possible hence, our assumption is contradicted.

our assumption is wrong.

Therefore, by contradiction it is proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

8 0

2 years ago

15. A jar contains 6 aqua beads and 4 black beads. If two beads are selected

Alex17521 [72]

Answer:

9/25

Step-by-step explanation:

(6/10)(6/10)

= (3/5)(3/5)

=9/25

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2 years ago

Which product is positive?

Virty [35]

Answer:

(Negative two-fifths) (Negative StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction)

Step-by-step explanation:

(Negative two-fifths) (Negative StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction) = (-2/5)(-8/9)(1/3)(2/7)

Let's take the fraction and eliminate the negative sign because negative multiply negative= positive

(-2/5)(-8/9)(1/3)(2/7)= 32/945

4 0

2 years ago

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Consider a sample with a mean of 500 and a standard deviation of 100. What are the z-scores for the following data values: 560,

julsineya [31]

Answer:

z-score for value 560 = 0.6

z-score for value 650 = 1.5

z-score for value 500 = 0

z-score for value 450 = -0.5

z-score for value 300 = -2

Step-by-step explanation:

We are given a sample with a mean of 500 and a standard deviation of 100.

i.e., $\mu$ = 500 and $\sigma$ = 100

The z score distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where X represents the data values;

So, z score for value 560 is;

z score = $\frac{560-500}{100}$ = 0.6

So, z score for value 650 is;

z score = $\frac{650-500}{100}$ = 1.5

So, z score for value 500 is;

z score = $\frac{500-500}{100}$ = 0

So, z score for value 450 is;

z score = $\frac{450-500}{100}$ = -0.5

So, z score for value 300 is;

z score = $\frac{300-500}{100}$ = -2

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2 years ago

A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise

marissa [1.9K]

100 total people......35 exercise in the morning....45 in the afternoon...and 20 at night

Jim is correct.....
35/100 is the ratio of people who exercise in the morning to total people.
45/100 is the ratio of afternoon exercisers to total people
20/100 is the ratio of night exercisers to total people

7 0

2 years ago

Read 2 more answers