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2 years ago

The question is:

Mathematics

1 answer:

Naddik [55]2 years ago

7 0

Answer:

2.5 gallons of the 20% solution must be replaced by the 36% solution.

Step-by-step explanation:

$.12(20 - x) + .36x = 20(.15)$

$2.4 - .12x + .36x = 3$

$2.4 - .24x = 3$

$- .24x = - .6$

$.24x = .6$

$x = 2.5$

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What is the circumference of a circle if the diameter is 6.4

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3 years ago

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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

alexdok [17]

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

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0.039196756 + 0.006948516 = 0.046145272 = 4.6145272%

Rounding to six decimal places: 0.046145 = 4.6145%

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3 years ago

Janeen wants to use the distributive property to find the value of 14⋅26+14⋅53. Which expression can she use?

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14(26+53)

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Find the length of side s to the nearest tenth.

bulgar [2K]

Answer:

10.3

Step-by-step explanation:

The triangle can be solved from one side and two angles by using the angle sum theorem to find the third angle, then using the Law of Sines to find the remaining sides.

The angle at T is ...

180° - 119° -36° = 25°

The law of sines tells us side s will be ...

s/sin(S) = t/sin(T)

s = sin(119°)×5/sin(25°) . . . . multiply by sin(S)

s ≈ 10.34763

s ≈ 10.3

<em>Additional comment</em>

u/sinU = t/sin(T)

u = sin(36°)×5/sin(25°) ≈ 6.95409

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2 years ago