Since we are not given any information about the proportion, we will assume the sample proportion to be 0.50
so,
p = 0.50
The Error is 10% percentage point. This means that on either side of the population proportion the error is 5% so E = 0.05
z = 1.645 (Z value for 90% confidence interval)
The margin of error for population proportion is calculated as:
This means 271 students should be included in the sample
Answer:
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Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A number increased by 7 means, 7 was added to the number and the result is 15
Answer:
75.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle. You are given all three sides of the triangle, so you can make use of at least two different trig functions to find the missing angle.
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
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<h3>cosine</h3>
The hypotenuse is 65, and the side adjacent to the unknown angle is 16. That tells you ...
cos(?) = 16/65
The inverse function is used to find the angle value:
? = arccos(16/65) ≈ 75.7°
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<h3>tangent</h3>
The side opposite the angle of interest is 63. Then you have ...
tan(?) = 63/16
The inverse function is used to find the angle value:
? = arctan(63/16) ≈ 75.7°
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<em>Additional comments</em>
When using trig functions on a calculator, you need to make sure the angle mode is set to what you want. Here, we want angles in degrees, so we have set that as the angle mode. The [DEG] icon in the lower left corner of the display confirms this.
We can't tell what you're supposed to round the value to. The attachment gives enough digits for you to be able to round to whatever precision you need.
Let's say 'x' to number of the students in the smaller class. Since the larger one is 6 more than the smaller one, its number would be 'x+6'. So their sum is equal to
and we know total is 50 so:
x is 22 so the larger number 'x+6' is equal to :