The table of the number of dolphins is used to illustrate probability
The probability that a dolphin group is partaking in travel is 0.2063
<h3>How to determine the probability</h3>
From the table, we have:
- The total number of dolphin group = 189
- The total number of dolphin group that partake in travel = 39
So, the probability that a dolphin group is partaking in travel is calculated as:
p = 39/189
Divide
p = 0.2063
Hence, the probability that a dolphin group is partaking in travel is 0.2063
Read more about probability at:
brainly.com/question/25870256
<h2>
Answer with explanation:</h2>
Let
be the average weight of chocolate chips in each bag.
As per given , we have

Since
is left-tailed , so we perform a left-tailed test.
Also, the population standard deviation is known
.
So we use z-test.
Test statistic : 
Substitute given value ,

Significance level = 0.05
Decision rule : Reject
when p-value < 0.05.
By z-table , P- value for left-tailed test = P(z<-1.96)= 1- P(z<1.96)
[∵ P(Z<-z)=1-P(Z<z)]
= 1- 0.9750
=0.025
Since , P-value(0.025) < 0.05 , so we reject the null hypothesis.
We support the claim that the machine is underfilling the bags at 0.05 significance level .
So (x + 5)*3 - 15 = 42
so the answer is
42 + 15 = 15 + 3x
so solving for x:
x = 14
Answer:

Step-by-step explanation:
Given


Required
Show that these two lines have no point of intersection
The general equation of a line is

Where m represents slope
In 

Similarly; in 

Since the slope of both lines are equal;

<em>This implies that the lines are parallel and parallel lines have no point of intersection</em>
<em></em>
<em>See Attachment for Graph</em>
Step One: 7560 ÷ 4 = 1890 Stacks Of Quarters
Step Two: 58 * 1890 = 109,620 Quarters
The Arch is 109,620 quarters high.