Answer: the first integer is -6 and the second integer is -4
Step-by-step explanation:
Answer:72,000
Step-by-step explanation:
= 4800 × 15
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: 3 balloons
Step-by-step explanation:
The ratio would be pink balloons to total balloons (aka pink/total), so 5 to 20 (aka 5/20). This simplifies to 1/4. If the new total is 12, and x represents pin balloons, then you can do 1/4=x/12. By cross multiplying, you get 12=4x. Divide both sides by 4 and x would equal 3. Therefore, the party store should expect to sell 3 pink balloons.