To find the measure of the s angle que are going use the cosine law because we know all the sides of the triangule:
s² = r² + t² - 2*r*t * cos(S)
Then solve the equation
s² -r² - t² = -2*r*t * cos(S)
arccos ((s² -r² - t² /-2*r*t)) = S
arccos (((250)² -(850 cm)²-(940 cm)² /(-2* 850 cm*940 cm) = S
14.9 = S
round to the nearest 10th of a degree
15º = S
Answer:
The options B and D both are whole numbers
explanation:
a number without fractions; and decimals is called a whole number
hope this helps!
Answer:
20%
Step-by-step explanation:
14/70x100=20%
This expression has three terms: the variables x, y, and z. We say that the first term is x, that the second term is y, and so on. This expression also has three terms: the number 7, the function f(x), and the variable a.
<span>n = 5
The formula for the confidence interval (CI) is
CI = m ± z*d/sqrt(n)
where
CI = confidence interval
m = mean
z = z value in standard normal table for desired confidence
n = number of samples
Since we want a 95% confidence interval, we need to divide that in half to get
95/2 = 47.5
Looking up 0.475 in a standard normal table gives us a z value of 1.96
Since we want the margin of error to be ± 0.0001, we want the expression ± z*d/sqrt(n) to also be ± 0.0001. And to simplify things, we can omit the ± and use the formula
0.0001 = z*d/sqrt(n)
Substitute the value z that we looked up, and get
0.0001 = 1.96*d/sqrt(n)
Substitute the standard deviation that we were given and
0.0001 = 1.96*0.001/sqrt(n)
0.0001 = 0.00196/sqrt(n)
Solve for n
0.0001*sqrt(n) = 0.00196
sqrt(n) = 19.6
n = 4.427188724
Since you can't have a fractional value for n, then n should be at least 5 for a 95% confidence interval that the measured mean is within 0.0001 grams of the correct mass.</span>
