Answer:
a)0.6192
b)0.7422
c)0.8904
d)at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.
Step-by-step explanation:
Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then
z(p)=
where
- Me is the margin of error from the mean
- s is the standard deviation of the population
a.
z(p)=
≈ 0.8764
by looking z-table corresponding p value is 1-0.3808=0.6192
b.
z(p)=
≈ 1.1314
by looking z-table corresponding p value is 1-0.2578=0.7422
c.
z(p)=
≈ 1.6
by looking z-table corresponding p value is 1-0.1096=0.8904
d.
Minimum required sample size for 0.95 probability is
N≥
where
- z is the corresponding z-score in 95% probability (1.96)
- s is the standard deviation (50)
- ME is the margin of error (8)
then N≥
≈150.6
Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.
Answer:
my answer is in this picture.
To solve for P(QIR) we use the formula:
P(QIR)=[P(Q∩R)]/P(R)
But from the diagram:
P(Q∩R)=3/22
P(R)=7/22
hence
P(QIR)=3/22÷7/22=3/7
So if the image is supposed to be the dishcloth, then the area would be B) 441 cm2
The deck would be 30 * 22 = C) 660 ft2
The angles of the triangle are 39°, 51°, and 90°.
Step-by-step explanation:
Step 1:
The sum of all the angles in any triangle is equal to 180°.
We have two of the three angles in terms of x while the third angle is not given directly. Since it is a right-angled triangle, one of the angles equals 90°.
So the angles of the triangle are
and 
Step 2:
Now, we substitute all the angles to a sum of 180 to determine the value of x.


So x = 13°. The angles are

The angles of the triangle are 39°, 51°, and 90°.