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cluponka [151]
3 years ago
9

In a survey of 225 art students 28% reported that their favorite color is blue. What is the margin of error for the sample?

Mathematics
1 answer:
ipn [44]3 years ago
3 0
Margin of error is important in determining the probability as it gives realistic data for the distribution. The formula to be followed for margin of error is m% = z* sqrt (p*(1-p))/n where p is the % positive outcome, n is the sample size and z* is a constant dependent to % confidence level. Substituting, m% = z* (0.03). Level of confidence is not given but assuming at95% CF, m% = 6%
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Which of the following angle pairs best describes angles 6 and 4 in the graphic below?
andriy [413]
Answer: Choice C) Same-side interior angles

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Angle 4 and angle 6 are on the same side, in this case the right hand side of the transversal line (line t). In addition, they are on the interior of the "train tracks" horizontal  lines (line a and line b). Combine this and this is why the two angles are same-side interior angles

Side note: if line a is parallel to line b, then angle 4 and angle 6 add to 180 degrees. At this point, they are considered supplementary.
8 0
3 years ago
1-2 Cos²25°÷(1-2sin²25)<br>​
shusha [124]

Answer:

have a good one

Step-by-step explanation:

6 0
2 years ago
Which of these four sets of side lengths will form a right triangle? Set 1 4 cm, 5 cm, 6 cm Set 2 8 in., 12 in., 20 in. Set 3 10
Alenkasestr [34]

Answer:  The correct option is (D) SET 4.

Step-by-step explanation:  We are to select the correct set of side lengths that will form a right-angled triangle.

To form a right-angled triangle, we must have the following relation:

<em>Perpendicular² + Base² = Hypotenuse².</em>

<em>Hypotenuse is the length of the largest side; perpendicular and base are the two legs of the triangle.</em>

SET 1 :  14 cm, 5 cm, 6 cm.  

We have

5^2+6^2=25+36=61,\\\\14^2=196.

Therefore,

<em>Perpendicular² + Base² ≠ Hypotenuse².</em>

So, this set will not form a right-angled triangle.

SET 2 :  8 in., 12 in., 20 in.  

We have

8^2+12^2=64+144=208,\\\\20^2=400.

Therefore,

<em>Perpendicular² + Base² ≠ Hypotenuse².</em>

So, this set will not form a right-angled triangle.

SET 3 :  10 mm, 20 mm, 30 mm.  

We have

10^2+20^2=100+400=500,\\\\30^2=900.

Therefore,

<em>Perpendicular² + Base² ≠ Hypotenuse².</em>

So, this set will not form a right-angled triangle.

SET 4 :  12 ft, 16 ft, 20 ft.  

We have

12^2+16^2=144+256=400,\\\\20^2=400.

Therefore,

<em>Perpendicular² + Base² = Hypotenuse².</em>

So, this set will form a right-angled triangle.

Thus, the SET 4 will form a right-angles triangle.

Option (D) is correct.

5 0
3 years ago
Read 2 more answers
e Carlos rented a truck for one day. There was a base fee of $ 20.99 , and there was an additional charge of 88 cents for each m
Sonja [21]
Let Base fee be X and No. of Miles be Y.

According to the question
Total Charge= (X+ 88Y)
251.55=20.99+ 0.88Y
Y= 251.55-20.99/0.88
Y= 262 miles
7 0
3 years ago
Read 2 more answers
A map has the scale 0.5 of an inch equals 180 miles. The distance from Springfield to Glenview is 4 inches. How many actual mile
Amiraneli [1.4K]
180 multiplied by 4 is the answer.
6 0
3 years ago
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