Answer: P(x ≥ 47) = 0.25
Step-by-step explanation:
Since the distribution of the life expectancies of a certain protozoan is normal, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancies of the certain protozoan.
µ = mean
σ = standard deviation
n = number of samples
From the information given,
µ = 46 days
σ = 10.5 days
n = 49
The probability that a simple random sample of 49 protozoa will have a mean life expectancy of 47 or more days is expressed as
P(x ≥ 47) = 1 - P(x < 47)
For x = 47
z = (47 - 46)/(10.5/√49) = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.0.75
P(x ≥ 47) = 1 - 0.75 = 0.25
Answer:
Dilation
Step-by-step explanation:
A dilation can make a shape larger or smaller hence changing the length of the sides and the area of said shape.
37. Volume: l×w×h
38. Volume: (pi)r^2×h
39. Volume: (1/2b×h)×l
37. l=4
w=4
h=6
4×4×6
16×6= 96ft^3
38. (pi)=3.14
r=5
h=12
(3.14×5^2)×12
(3.14×25)×12
78.5×12= 942in^3
38. b=4
h=3
l=8
(1/2×3×4)×8
(1/2×12)×8
6×8= 48
9514 1404 393
Answer:
- tan(A) = 7/24
- sin(A) = 7/25
- cos(A) = 24/25
Step-by-step explanation:
The mnemonic SOH CAH TOA can help you remember the trig ratios:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...
tan(A) = 7/24
sin(A) = 7/25
cos(A) = 24/25
