Answer:
Step-by-step explanation:
Let x be the random variable representing the time (in minutes) taken for a dose of a certain drug to be effective as a sedative on lab animals. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 1
σ = √variance = √0.01 = 0.1
the probability that the time taken for a randomly selected animal is between 1 and 1.1 minutes is expressed as
P(1 ≤ x ≤ 1.1)
For x = 1,
z = (1 - 1)/0.1 = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
For x = 1.1
z = (1.1 - 1)/0.1 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
Therefore,
P(1 ≤ x ≤ 1.1) = 0.84 - 0.5 = 0.34
The the proportion of animals for which the time taken is between 1 and 1.1 minutes is 0.34
Answer:
A
Step-by-step explanation:
an=a1+(n-1)d
A(10)=15+(n-1)-2
It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram. A rhombus is defined as a parallelogram with four equal sides.
Answer:
x= 12 y=2
Step-by-step explanation:
Answer:
x = √6 - 2 , -√6-2
Step-by-step explanation:
We have ,
=> y = x² + 4x - 2
=> x² + 4x - 2 = 0
=> x² + 2(2)(x) - 2 = 0
=> x² + 2(2)(x) +2² - 2² -2 = 0
=> x² + 2(2)(x) + 2² -4-2 = 0
=> ( x + 2 )² -6 = 0
=> ( x +2)² = 6
=> ( x + 2) = √6
=> x + 2 = ±√6
=> x = √6 - 2 , -√6-2
