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dedylja [7]
3 years ago
5

Kayla walked 4 kilometers due east before turning left and walking 2.5 kilometers due north. She turned again and returned to he

r starting point by walking a straight path. What was the angle of the last turn? Round to the nearest degree.
Mathematics
1 answer:
tatiyna3 years ago
8 0
<span>Kayla walks a path with a triangle shape with three corners, starting point A, point where turns north, B, and point where head towards start, C. The question is calculate the angle in the point C, knowing that A-B distance is 4 km and B-C is 2.5 To do this calculation we are going to use the trigonometry function tangent: tangent C = opposite/adjacent = 4/2.5 = 1.6 Then C angles is: C = arctan (1.6) = 57.99Âş So the solution is round to 58Âş</span>
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In a proportionate stratified sample of 120, there are 72 Whites, 24 Latinos, 18 Blacks and 6  others.

Proportionate Stratified Sample

A proportionate stratified sample is one in which the size of the strata in the sample is proportional to the size of the strata in the population; in other words, the chance of selecting a unit from a stratum depends on the relative size of that stratum in the population.

Calculating the Proportionate Stratified Sample

The given percentage of -

Whites = 60%

Latinos = 20%

Blacks = 5%

Strength of the sample = 120

⇒ Number of Whites = 60% of 120

= 0.6 × 120

=72

Number of Latinos = 20% of 120

= 0.2 × 120

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Proportionate Stratified Sample of Blacks and Others

Count of Blacks = 15 % of 120

= 0.15 × 120

= 18

Count of others = 5% of 120

= 0.05 × 120

6

Thus, in a Proportionate Stratified Sample of 120, 72 are Whites, 24 are Latinos, 18 are Blacks, and 6 are others.

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6 0
1 year ago
A group of friends were working on a student film that had a budget of $500. They used $25 of their budget on props. What percen
Dmitriy789 [7]

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3 years ago
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Step-by-step explanation: hope it helps

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3 years ago
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