Answer:
a. 
b. 
c. 
d. 
e. As p approaches 1 , the standard deviation increases (that is, it approaches 0).
Step-by-step explanation:
Solving (a):
Find Mean
Mean is calculated as thus:
Convert percentage to decimal
Solving (b):
Calculate Standard Deviation (SD)
Standard deviation is calculated as thus:
Convert percentage to decimal
Solving (c):
Calculate Standard Deviation if p = 0.7
Using same formula used in (b) above
Solving (d):
Calculate Standard Deviation if p = 0.8
Using same formula used in (b) & (c) above
Solving (e):
What does the working show
In (b)
When p = 0.5
SD = 3.7125
In (c)
When p = 0.7
SD = 3.15
In (d)
When p = 0.8
SD = 2.4
Notice that as the value of p increases, the standard deviation gets closer to 0.
Answer:
3.85 hours
Step-by-step explanation:
We have that the model equation in this case would be of the following type, being "and" the concentration of bacteria:
y = a * e ^ (b * t)
where a and b are constants and t is time.
We know that when the time is 0, we know that there are 100,000 bacteria, therefore:
100000 = a * e ^ (b * 0)
100000 = a * 1
a = 100000
they tell us that when the time is 2 hours, the amount doubles, that is:
200000 = a * e ^ (b * 2)
already knowing that a equals 100,000
e ^ (b * 2) = 2
b * 2 = ln 2
b = (ln 2) / 2
b = 0.3465
Having the value of the constants, we will calculate the value of the time when there are 380000, that is:
380000 = 100000 * (e ^ 0.3465 * t)
3.8 = e ^ 0.3465 * t
ln 3.8 = 0.3465 * t
t = 1.335 / 0.3465
t = 3.85
That is to say that in order to reach this concentration 3.85 hours must pass
Answer:
C. 11 is the correct answer
Step-by-step explanation:
The table representing the probabilities of player's batting average is,
Left-Handed pitchers Right-Handed pitchers
Bats Left 0.285 0.175
Bats Right 0.215 0.250
So, when the players bats left 100 times,
The probability of hits he gets when faced by left-handed pitchers = 0.285 × 100 = 28.5
The probability of hits he gets when faced by right-handed pitchers = 0.175 × 100 = 17.5
Thus, the difference in the hits = 28.5 - 17.5 = 11
Hence, the player will get 11 more hits t when he faces left-handed pitchers as opposed to right-handed pitchers.
Answer:
Amoeba is a single celled eukaryotic organism, found in the water body. These organisms have a false feet called as pseudopodium. It helps in the locomotion and captures food from the external environment. The organism does not exhibit a well defined shape. It has organelles like nucleus and vacuoles surrounded by cytoplasm. The food being captured by psuedopodium is engulfed inside a vacuole. It reproduces by the process of asexual reproduction called as binary fission. The genetic material replicates by the mitotic division, then the cell divides into two equal daughter cells. The amoeba obtains energy from food, and it uses this energy to move, capture food and reproduce.
A clock is a non-living thing. That displays time. It has three needles or hands, the bigger hand displays hour, the small one displays minutes and the thin needle displays seconds. These hands or needles uses energy from a cell or battery.
Characteristics features of amoeba are as follows:
Uses energy
Has internal organization
Characteristics features of clock are as follows:
Uses energy
Contains cells
Lacks genetic material reproduces
Has a defined boundary
Has internal organization
Step-by-step explanation:
Answer:
Options (3) and (6)
Step-by-step explanation:
ΔABC is a dilated using a scale factor of 
to produce image triangle ΔA'B'C'.
Since, dilation is a rigid transformation,
Angles of both the triangles will be unchanged or congruent.
m∠A = m∠A' and m∠B = m∠B'
Since, sides of ΔA'B'C' = of the sides of ΔABC
Area of ΔA'B'C' = 
Area of ΔABC > Area of ΔA'B'C'
Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.
ΔABC ~ ΔA'B'C'
Therefore, Option (3) and Option (6) are the correct options.
