The margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.
<h3>What is the margin of error?</h3>
The margin of error can be defined as the amount of random sampling error in the results of a survey. It is given by the formula,
= margin of error
= confidence level
= quantile
σ = standard deviation
n = sample size
As it is given that the sample size of the survey is 324, while the standard deviation of the survey is 1.6.
We know that the value of the z for 95% confidence interval is 1.96. Therefore, using the formula of the standard of error we can write it as,
Hence, the margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.
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Answer:
a = 70°, b = 140°
Step-by-step explanation:
use alternate interior angles
The interior angles of a straight line are 180°
a = 180°-110° = 70°
b = 180°-40° = 140°
//I'm sorry, but I'm not very fluent in English.
Supply is the amount of product a seller is able to make
To figure this out, we need to use fractional proportions.
Currently, we have $120, the amount earned, and 2 days, the current rate.
Our fraction for this is: 120 / 2 = x / 6, x being the amount earned in 6 days.
Let's use a little technique to help us answer faster.
With our current money earned, 120, and our current days, 2, we can divide 120 by 2 to find out how many we earned in 1 day.
120 / 2 = 60.
We earned $60 per day.
With this formula, 60d, d being the amount of days, we can solve quicker.
We are solving for 6 days, so multiply $60 by 6 days.
60 x 6 = 360
Your proportion is :
120/2 : 360/6
I hope this helps!
Answer:
x = -10
Step-by-step explanation:
expand
simplify 36 - 4.5x + 36 to -4.5x + 72
simplify 102 - 7.5x - 60 to -7.5x + 42
add 7.5x to both sides
simplify -4.5x + 72 + 7.5x to 3x + 72
subtract 72 from both sides
simplify 42 - 72 to -30
divide both sides by 3
simplify 30/3 to 10
Answer: x = -10
