Answer:
n = 225
Step-by-step explanation:
Multiply 15 by 15
Rectangle definitely not a parallelogram
<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>
<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>:</em><em>)</em>
Answer: x=−2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(8−x)−32=98−5(3x+24)
Step 1: Simplify both sides of the equation.
4(8−x)−32=98−5(3x+24)
(4)(8)+(4)(−x)+−32=98+(−5)(3x)+(−5)(24)(Distribute)
32+−4x+−32=98+−15x+−120
(−4x)+(32+−32)=(−15x)+(98+−120)(Combine Like Terms)
−4x=−15x+−22
−4x=−15x−22
Step 2: Add 15x to both sides.
−4x+15x=−15x−22+15x
11x=−22
Step 3: Divide both sides by 11.
11x
/11
=
−22
/11
x=−2
