Answer:
The true statement is <u>Line h has points on planes R, P, and T</u>
Step-by-step explanation:
The rest of the question is the attached figure
According to the graph, we will check which option is true.
a. Line h intersects line f at two points, A and B (<u>Wrong</u>)
<u>Because</u>: h intersects line f at B only.
b. Line h is the intersection of planes R and T (<u>Wrong</u>)
<u>Because</u>: g is the intersection of planes R and T
c. Line h intersects plane P at point C (<u>Wrong</u>)
<u>Because</u>: h intersects plane P at point B
d. Line h has points on planes R, P, and T (<u>True</u>)
<u>Because </u>h has the point B on the plane P, h has the point A on the plane T
and the points of h on the plane R
Answer:
a) 60
b) 0.24
c) 150
Step-by-step explanation:
a) P(green) = ⅕
Expected no. = 300 × ⅕
= 60
b) total = 300
P(purple) = 72/300
= 6/25 = 0.24
c) P(blue) = 45/300
= 3/20 = 0.15
Expected no.: 1000 × 0.15
= 150
Suppose
is the number of possible combinations for a suitcase with a lock consisting of
wheels. If you added one more wheel onto the lock, there would only be 9 allowed possible digits you can use for the new wheel. This means the number of possible combinations for
wheels, or
is given recursively by the formula
starting with
(because you can start the combination with any one of the ten available digits 0 through 9).
For example, if the combination for a 3-wheel lock is 282, then a 4-wheel lock can be any one of 2820, 2821, 2823, ..., 2829 (nine possibilities depending on the second-to-last digit).
By substitution, you have
This means a lock with 55 wheels will have
possible combinations (a number with 53 digits).
Answer: Period: 4. Amplitude: 3
Step-by-step explanation: The period is how long it takes for one cycle of the function (one up and down). In this graph, one cycle ends at 4.
The amplitude is how far away the extremes of the graph are from the midline. This graph is a total of 6 units tall, making the amplitude 3. (I usually find total graph height and divide by 2.)
Answer:
D. 11
Step-by-step explanation:
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