Answer:
The probability that the sample proportion will be greater than 13% is 0.99693.
Step-by-step explanation:
We are given that a large shipment of laser printers contained 18% defectives. A sample of size 340 is selected.
Let
= <u><em>the sample proportion of defectives</em></u>.
The z-score probability distribution for the sample proportion is given by;
Z =
~ N(0,1)
where, p = population proportion of defective laser printers = 18%
n = sample size = 340
Now, the probability that the sample proportion will be greater than 13% is given by = P(
> 0.13)
P(
> 0.13) = P(
>
) = P(Z > -2.74) = P(Z < 2.74)
= <u>0.99693</u>
The above probability is calculated by looking at the value of x = 2.74 in the table which has an area of 0.99693.
Using the problem, create an equation to find the number (x).
Three less than (so x minus 3) 6 times a number (6 times x) equals 39.
6x-3=39, solve for x.
x = 7
Answer: (5.15, -7.05)
Since it is a reflection across the x-axis, you would need to flip it to the other side of the x-axis to determine the new point
49.491 millimeters of acid is present
<em><u>Solution:</u></em>
Given that, chemist is using 351 milliliters of a solution of acid and water
14.1% of the solution is acid
To find: Milliliters of acid present
From given statement,
Solution of acid and water = 351 ml
14.1% of the solution is acid, which means that 14.1 % of 351 ml is acid
Therefore,
Milliliters of acid present = 14.1 % of 351 ml
Here "of" means multiplication
Therefore,


Thus 49.491 millimeters of acid is present