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.
Answer:
90degrees
Step-by-step explanation:
To get the measure of angle C, we will use the cosine rule as shown;
AB² = AC²+ BC² - 2(AC)(BC)cos C
85² = 13²+ 84² - 2(13)(84)cos C
7225 = 169 + 7056 - 2184cosC
7225 - 7225 = -2184cosC
0 = -2184cosC
cosC = -0/2184
cosC = 0
C = arccos0
C = 90degrees
Hence the measure of angle C is 90degrees
Answer:
Yes
Step-by-step explanation:
Unless the line is vertical, the graph of any straight line is the graph of a function.
___
A vertical line does not map x to one single y-value, so it does not represent a function. Any other line does map each x to a single y-value, so does represent a function.
R = 12/2 = 6 π = 3.14
Circumference of a circle: C = 2πr
2*3.14*6
6.28*6 = 37.68 or 37.69
The last options seems reasonable
Hope that helps!
Answer:
Her mother will donate $24
Step-by-step explanation:
In order to find this, first find the unit rate. To do so, divide the amount by the number of miles it takes to get that amount.
$0.40/0.25 miles = $1.60 per mile
Now we multiply that by the total number of miles.
$1.60 per mile * 15 miles = $24