Answer:
C. P- value < 0.04 0.05
Step-by-step explanation:
hello,
we were given the sample size, n = 200
also the probability that the psychic correctly identifies the symbol on the 200 card is

using the large sample Z- statistic, we have

= 
= 1.7678
thus the P - value for the hypothesis test is P(Z > 1.7678) = 0.039.
from the above, we conclude that the P- value < 0.04, 0.05
Answer:

Step-by-step explanation:
Let
x ----> the measure of one angle of the triangle
y ---> the measure of the second angle
z ----> the measure of the third angle
we know that
The sum of the measure of the interior angles in any triangle must be equal to 180 degrees
-----> equation A
One angle of a triangle measures 10 degrees more than the second
----> equation B
The measure of the third angle is twice the sum of the first two angles
---> equation C
substitute equation B in equation C

----> equation D
substitute equation D and equation B in equation A

solve for y

Find the value of x

Find the value of z

therefore

Answer: 2/3 feet per minute
Step-by-step explanation:
From the question, we are informed that a caterpillar moves across the grass at a rate of 4 2/3 feet every 7 minutes.
The rate at which the caterpillar move in feet per minute will be:
= 4 2/3 ÷ 7
= 14/3 ÷ 7
= 14/3 × 1/7
= 14/21
= 2/3 feet per minute
Answer:
(-5/2,-4)
Step-by-step explanation:
Answer:
the volume is 

Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder.
Given data
Volume v = ?
Radius r = r in
Height h= 2r in
We are expected to solve for the volume of a cylinder, given the above data we can substitute it in the formula for volume of a cylinder to obtain our result
we know that the expression for the volume of a cylinder is


Hence the volume in terms of the radius is 