Answer:
The parameters of the exponential distribution is 0.0133.
Step-by-step explanation:
Exponential distribution is a continuous probability distribution.
The density function of exponential distribution is,
Here the parameter θ is the reciprocal of the mean of the random variable <em>X</em>.
The random variable <em>X</em> has an average value of 75 seconds.
Compute the parameters of the exponential distribution as follows:
Thus, the parameters of the exponential distribution is 0.0133.
Answer:
Four raised to the one-sixth power
Step-by-step explanation:
We want to simplify:
First, we apply the fractional law of indices to each term.
We then have:
The correct option is B.
Answer:
The inequality to determine the number of days, , Darcie can skip crocheting and still meet her goal is:
Thus, Darcie can skip a maximum of 15 days.
Step-by-step explanation:
Question
Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.
Given:
Darcie has a target to crochet a minimum of 3 blankets.
Rate at which Darcie crochets = of a blanket per day.
Darcie has 60 days to crochet the blankets
To write an inequality to determine the number of days, , Darcie can skip crocheting and still meet her goal.
Solution:
The number of days Darcie can skip crocheting is represented by
So, number of days left for Darcie to crochet =
In 1 day Darcie crochets of a blanket.
So, in days she will crochet =
blankets.
Her aim is to crochet at least 3 blankets.
Thus, the inequality can be given as:
Solving for
Multiplying both sides by 15 to remove fractions.
Subtracting both sides by 60.
Dividing both sides by -1.
[ On dividing by negative number the sign of the inequality is reversed]
∴
Thus, Darcie can skip a maximum of 15 days.