Answer:
Z score with a confidence level of 95% is 1.96
Step-by-step explanation:
The computation of the z score with the confidence level of 95% is shown below:
While determining the margin of error for the normally distributed population from the sample, the z score of the confidence level of 95% is 1.96
The same is to be considered
Therefore the third option is correct
A)
Two sides are 8 x 2 = 16 x 2 = 32 sq. in.
Two sides are 11 x 2 = 22 x 2 = 44 sq. in.
Top is 8 x 11 = 88 sq. in.
Total surface area: 32 + 44 + 88 = 164 square inches.
B) Area of a circle = PI x r^2
Area = 63.585
63.585 = PI x r^2
Using 3.14 for PI:
63.585 = 3.14 x r^2
Divide both sides by 3.14:
r^2 = 63.585 / 3.14
r^2 = 20.25
r = √20.25
radius = 4.5 inches.
C)
Diameter = radius x 2
Diameter = 4.5 x 2 = 9 inches.
Answer:
The total members in the Spanish Club = 50
Step-by-step explanation:
Let the total members in the Spanish Club = x
Now, number of girls in the club = 30
Three-fifths of the members are girls.
⇒ 
of total members x = 30
or, 
Now, solving for x, we get:
or, x = 50
Hence,the total members in the Spanish Club = 50
Answer:
Option D, AP
Step-by-step explanation:
<u>The two sides that are connected by the right angle are called the sides. The longest one that is not connect with a right angle is called the hypotenuse.</u>
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In this case, the sides are AZ and PZ. <em>The hypotenuse is AP</em>
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Answer: Option D, AP
