Answer:
x = - 3
y = 4
Step-by-step explanation:
x + y = 1 | (-3)
x + 3y = 9
- 3x - 3y = - 3
x + 3y = 9
_____________
- 3x + x = 9 - 3
- 2x = 6
2x = - 6
x = - 3
- 3 + y = 1
y = 1 + 3
y = 4
Answer:
A, (1, 3+1/2)
Step-by-step explanation:
Midpoint formula for reference: m= {(x1 + x2)/2, (y1 + y2)/2}
Plugging in the points we get: m= {(8 - 6)/2, (5 + 2)/2}
Now we simplify using PEMDAS. First step is parentheses.
m= {2/2, 7/2}
Simplifying again (and making 7/2 a mixed number), it becomes
m= {1, 3+1/2}
Hope this helps!
Answer:
Step-by-step explanation:
The mass of a bag of sugar, m = 1 kg = 0.001 g
Length of bag, l = 9.2 cm
Width of bag, b = 6 cm
Height of the bag, h = 14.1 cm
We need to find the density of the sugar bag.
Density = mass/volume
So,
So, the density of the bag is 
.
Let X be a discrete binomial random variable.
Let p = 0.267 be the probability that a person does not cover his mouth when sneezing.
Let n = 18 be the number of independent tests.
Let x be the number of successes.
So, the probability that the 18 individuals, 8 do not cover their mouth after sneezing will be:
a) P (X = 8) = 18! / (8! * 10!) * ((0.267) ^ 8) * ((1-0.267) ^ (18-8)).
P (X = 8) = 0.0506.
b) The probability that between 18 individuals observed at random less than 6 does not cover their mouth is:
P (X = 5) + P (X = 4) + P (X = 3) + P (X = 2) + P (X = 1) + P (X = 0) = 0.6571.
c) If it was surprising, according to the previous calculation, the probability that less than 6 people out of 18 do not cover their mouths is 66%. Which means it's less likely that more than half of people will not cover their mouths when they sneeze.
Answer:
5-8 is +3
8-14 is +3*2
14-26 is 3*4
26-50 is 3*8
which means 50 to the next number is 3*16, which is 48
48+50 is 98
Step-by-step explanation:
