Answer:
First one
2x²+x-1
Step-by-step explanation:
3x²-x²=2x²
x
8-9=-1
2x²+x-1
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We have 24 total beads, and we have 6 red ones. This gives us a probability of 6/24, which simplifies to 1/4. However, we do this twice with replacement (we put the bead back, so the probability stays the same), so we multiply that probability twice to find the probability of it happening twice.
1/4×1/4=1/16
Therefore, the probability that both beads are red is 1/16.
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Let
be the length of the rectangle and
be the width. In the problem it is given that
. It is also given that the area
. Substituting in the length in terms of width, we have
. Using the zero product property,
. Solving these we get the width
. However, it doesn't make sense for the width to be negative, so the width must be
. From that we can tell the length
.
Answer: the z score is 1
Step-by-step explanation:
Since the head circumference for boys at birth is normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = head circumference for boys at birth.
µ = mean head circumference
σ = standard deviation
From the information given,
µ = 34.5cm
σ = 1.3 cm
For a boy born with a head circumference of 35.8cm, the z score is
z = (35.8 - 34.5)/1.3
z = 1
Answer:
Option A.
Step-by-step explanation:
We need to find the 500th digit if we write all the whole numbers from 1 to 500 in a row.
Single digit numbers are : 1-9 = 9 number = 9 digits
Double digit numbers are : 10-99 = 90 number = 180 digits
Total digits form 1 to 99 = 9+180 = 189
Now,
It means we have write 311 more digits.
After 99 we have 3 digit number.
311 is not divisible by 3. The number immediate before 311 which is divisible by 3 is 309.
It means the required digit is 2nd digit of 104th number after 99.
104th number after 99 is 203 and second digit of 203 is 0.
Therefore, the correct option is A.