Answer:

Step-by-step explanation:
Let p be the number of identical packages.
We have been given that each package has a mass of 37.4 kg, so weight of p packages will be 37.4p.
The total mass of Renna and her load of identical packages is 620 kg.
We have been given that the mass limit for the elevator is 450 kg. This means that Renna can remove p packages from 620 kg such that 620 minus weight of p packages will be less than or equal to 450 kg.
We can represent this information in an inequality as:

Therefore, the inequality
can be used to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement.
Answer:
the required probability of is 0.1886
the approximate probability is 0.2052
Step-by-step explanation:
The farmer estimates that there's a a 9 9% chance of a cow grazing on some of the flavorful weeds
i.e P = 9.9% = 0.099
Let assume that X is a description of how the cows are grazing on some of the flavorful weeds.
The probability density function of the binomial distribution is :

a)
To calculate that the probability that none of the 16 animals in this herd ate the tasty weeds.

= 
= 0.1886
Thus; the required probability of is 0.1886
b) To calculate the probability that no animal ate the weed.
By using Poisson approximation model:




= 
Hence; the approximate probability is 0.2052
Answer:
There is no convincing evidence at α = 0.10 level that the average vertical jump of students at this school differs from 15 inches.
Step-by-step explanation:
We have to make a hypothesis test to prove the claim that the average vertical jump of students differs from 15 inches.
The null and alternative hypothesis are:

The significance level is 0.10.
The sample mean is 17 and the sample standard deviation is 5.37.
The degrees of freedom are df=(20-1)=19.
The t-statistic is:

The two-sided P-value for t=1.67 is P=0.11132.
This P-value is bigger than the significance level, so the effect is not significant. The null hypothesis can not be rejected.
There is no convincing evidence at α = 0.10 level that the average vertical jump of students at this school differs from 15 inches.
Answer:
Step-by-step explanation:
Given that Darcie wants to donate minimum 3 blankets to donate to a homeless shelter. No of days left =60
No of days to complete one blanket = 1/(1/15) = 15 days
Hence in 60 days she has to complete ≥3 blankets
No of days she has to utilize for this will be ≥3(15)=45
No of days she can skip crocheting ≤15
Let x be the no of days crocheted and y no of days skipped
Then x+y≤60
See the graph attached as x axis for days crocheted and y for days skipped
No of blankets can be either 3 or 4.
<span>There were two main things which negatively impacted the growth of Spanish colonies. The first issue involved the Spanish settlers experiencing difficult relations with the Indians who lived there first. The second problem centered on miner's inability to find either gold or silver deposits that would lure other people to settle there.</span>