X= -292 1/2
the picture should explain, but i can explain further
Step-by-step explanation:
so, we need to find the smallest common multiple of 36 and 42.
that is the smallest number I can divide both by 36 and 42 without remain.
let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1 finished
therefore,
36 = 2×2×3×3
42 / 2 = 21
21 / 3 = 7
7 / 5 does not work
7 / 7 = 1 finished
therefore,
42 = 2×3×7
to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.
and we see 2 times 2, 2 times 3 and 1 time 7.
so, the SCM = 2×2×3×3×7 = 252.
there is no smaller number that can be divided by both 36 and 42 without remain.
so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).
Answer:
1080 °
Step-by-step explanation:
S = (n - 2)×180°
= (8 - 2)×180°
= 6×180°
= 1080 °
n = number of sides
Answer:
P(0) = 0.055
P(1) = 0.16
P(2) = 0.231
P(3) = 0.224
P(4) = 0.162
P(5 or more) = 0.168
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Here λ = 2.90 is the average number of bacteria colonies per field.
This means that 
Compute P(r) for r = 0, 1, 2, 3, 4, and 5 or more.
5 or more:
This is
In which:
So
P(5 or more) = 0.168
Answer:
0.8988
Step-by-step explanation:
the first digit is tenths, then hundredths, then thousandths, then tenthousanths, so you know your end result will have four digits after the decimal. since 9 is greater than 5, you round up the seven before it to an 8. the result is 0.8988
