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Black_prince [1.1K]
3 years ago
12

Three quarter of the students running a 100-yard race finished with an average time of 16 seconds. The remaining 25% of students

finished with an average time of 12 seconds. What was the average time overall?
Mathematics
1 answer:
iren [92.7K]3 years ago
5 0

Answer:

15 seconds

Step-by-step explanation:

Because the split id 25% and 75%, we could create another average pretending that there are four kids, one who ran in 12 seconds, and three who ran in 16.

Equation for averages: (a₁ + a₂ + a₃ + ... a_{n})/ n

Plug in:<em> (12 + 16 + 16 + 16)/4</em>

Add: 60/4

Divide: 15 seconds

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3 years ago
Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle
mario62 [17]

The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

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In Δ XYZ

∵ ∠ YXZ is a right angle

∴ The hypotenuse is YZ

∵ The adjacent side to ∠XYZ is XY

∵ The opposite side to ∠XYZ is XZ

∵ YX = 12 units

∵ XZ = 10 units

- Use tan ratio to find the measure of the angle because you

   have the adjacent and opposite sides of the angle XYZ

∵ m∠XYZ is x

∵ tan(x)=\frac{XZ}{XY}

∴ tan(x)=\frac{10}{12}

- To find x use the inverse of tan(x)

∵ x=tan^{-1}(\frac{10}{12})

∴ x = 39.8°

∴ m∠XYZ = 39.81°

The best approximation for the measure of angle XYZ is 39.8°

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
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$2,500 • 7.5% (or 0.075) = $187.50 (for one year).

For two years, the interested added onto the original price is $375 because $187.50 • 2 (years) = $375.

$2,500 + $375 = $2,875

The total of the cost of the surgery and the interest is $2,875.

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3 0
3 years ago
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Elis [28]

Answer:

Answer in the explanation section

Step-by-step explanation:

Even numbers create symmetry, but odd numbers create interest. An odd number of details is more effective at capturing your gaze. Odd numbers force your eyes to move around the grouping and by extension, the room. That forced movement is the heart of visual interest.

An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have (we know the number 5,917,624 is even because it ends in a 4!). Odd numbers end in 1, 3, 5, 7, 9.

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if this is wrong i'm sorry

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Start by y-k=m(x-h)
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3 0
3 years ago
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