The converse of any statement, true or false, is never always true. The only guaranteed true statement is a contrapositive of a true statement. A contrapositive is a statement where the hypothesis and conclusion are switched, and both sides are negated.
Final Answer: no
Binomial distribution formula: P(x) = (n k) p^k * (1 - p)^n - k
a) Probability that four parts are defective = 0.01374
P(4 defective) = (25 4) (0.04)^4 * (0.96)^21
P(4 defective) = 0.01374
b) Probability that at least one part is defective = 0.6396
Find the probability that 0 parts are defective and subtract that probability from 1.
P(0 defective) = (25 0) (0.04)^0 * (0.96)^25
P(0 defective) = 0.3604
1 - 0.3604 = 0.6396
c) Probability that 25 parts are defective = approximately 0
P(25 defective) = (25 25) (0.04)^25 * (0.96)^0
P(25 defective) = approximately 0
d) Probability that at most 1 part is defective = 0.7358
Find the probability that 0 and 1 parts are defective and add them together.
P(0 defective) = 0.3604 (from above)
P(1 defective) = (25 1) (0.04)^1 * (0.96)^24
P(1 defective) = 0.3754
P(at most 1 defective) = 0.3604 + 0.3754 = 0.7358
e) Mean = 1 | Standard Deviation = 0.9798
mean = n * p
mean = 25 * 0.04 = 1
stdev = 
stdev =
= 0.9798
Hope this helps!! :)
Answer:
208 ⅓ ft²
Step-by-step explanation:
1⅞ = 15/8 inches ÷ 12
= 5/32 feet on map
Actual = 5/32 × 80
= 25/2 feet
2½ = 5/2 inches ÷ 12
= 5/24 feet on map
Actual = 5/24 × 80 = 50/3
Actual area:
25/2 × 50/3
= 625/3 ft²
= 208 ⅓ ft²
Solution:
we are given that
The magnitudes of the moon and Sirius are -12.5 and -1.44 respectively.
we have been asked to find approximately how many times is the moon brighter than Sirius?
The word magnitude is used by the scientist to describe the brightness of moon/star/object etc.
So we can find the brightness by dividing the given values. so we get

Hence we can say
The moon is 8.68 times brighter than Sirius.
Answer:
C.
Step-by-step explanation:
The line that is a perpendicular bisector of the segment connecting the two points.