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Serga [27]
3 years ago
14

What is the actual distance of 23cm

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0

Answer:

23 cm = 0.23 m or  9.055118 inches

Step-by-step explanation:

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A 6-ounce bottle of juice costs $.96. An 8-ounce bottle costs $1.12. Which is the better to buy?
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One cost for the first price is $0.16and the second on is 0.14 so the second one is the better deal
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A study shows that 78​% of the population of all calculus students consider calculus an exciting subject. Suppose 20 students ar
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Answer:

0.046145 = 4.6145%

Step-by-step explanation:

We need to find the probability of 19 or 20 (all) students considering calculus to be an exciting subject, so first we find the probability for 19 students, then for 20 students, and we sum these probabilities.

The probability of the student NOT considering calculus to be an exciting subject is 1 - 0.78 = 0.22

For 19 students, we also have to calculate a combination of 20 choose 19, as these 19 students can be in different "position" among the 20 students, so:

C(20,19) = 20!/19! = 20

Probability of 19 students considering calculus to be an exciting subject:

C(20,19) * 0.78^19 * 0.22^1 = 0.039196756

Probability of 20 students considering calculus to be an exciting subject:

C(20,20) * 0.78^20 = 1 * 0.78^20 = 0.006948516

The final probability is:

0.039196756 + 0.006948516 = 0.046145272 = 4.6145272%

Rounding to six decimal places: 0.046145 = 4.6145%

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Give the solution set for the inequality<br> 7x &lt; 7(x - 2) in interval notation.
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<u>ANSWER:</u>

The solution set for the inequality 7x < 7(x - 2) is null set \varnothing

<u>SOLUTION:</u>

Given, inequality expression is 7x < 7 × (x – 2)

We have to give the solution set for above inequality expression in the interval notation form.

Now, let us solve the inequality expression for x.

Then, 7x < 7 × (x – 2)

7x < 7 × x – 2 × 7

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7x – (7x – 14) < 0

7x – 7x + 14 < 0

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14 < 0  

Which is false, so there exists no solution for x which can satisfy the given equation.

So, the interval solution for given inequality will be null set

Hence, the solution set is \varnothing

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