PLEASE HELP WILL MARK BRAINLIEST (if possible).......................Braden bought 18 pencils for $4.50. Let x represent the num
ber of pencils purchased, and let y represent the total cost. Graph the line that represents the proportional relationship.
2 answers:
We are given x represent the number of pencils purchased, and let y represent the total cost.
We also given 18 pencils for $4.50.
Therefore, cost of each pencil = 4.50/18 = $0.25
Total cost (y) = cost of each pencil × number of pencils.
Therefore, equation would be
<h3>y = 0.25x.</h3>In order to graph it, let us find some points for graph using table.
Plugging x=4, we get
y = 0.25(4) = 1.
Plugging x=8, we get
y = 0.25(8) = 2.
<h3>We got two coordinates, (4,1) and (8,2).</h3>Plotting those points on the graph and joining the points.
We can see that graph represents the proportional relationship.
You might be interested in
<u>Complete Question</u>
The usher at a wedding asked each of the 80 guests whether they were a friend of the bride or of the groom. The results are: 59 for Bride, 50 for Groom, 30 for both. Find the probability that a randomly selected person from this sample was a friend of the bride OR of the groom.
Answer:
0.9875
Step-by-step explanation:
Total Number of Guests which forms the Sample Space, n(S)=80
Let the Event (a friend of the bride) =A
Let the Event (a friend of the groom) =B
n(A) =59
n(B)=50
Friends of both bride and groom,
Therefore:
The number of Guests who was a friend of the bride OR of the groom = 79
Therefore:
The probability that a randomly selected person from this sample was a friend of the bride OR of the groom.
Answer:
a
The point estimate of the population mean is
b
The 80% confidence level is
c
There is 80% confidence that the true population mean lies within the confidence interval.
Step-by-step explanation:
From the question we are told that
The sample size is n = 18
The standard deviation is
The sample mean is
Generally the point estimate of the population mean is equivalent to the sample mean whose value is
Given that the confidence interval is 80% then the level of significance is mathematically represented as
Next we obtain the critical value of from the normal distribution table
The value is
Generally the margin of error is mathematically evaluated as
=>
=>
Generally the 80% confidence interval is mathematically represented as
=>
=>
The interpretation is that there is 80% confidence that the true population mean lies within the limit
Given :
P(x 3), Q(7, -1) and PQ= 5 .
To Find :
The possible value of x.
Solution :
We know, distance between two points in coordinate plane is given by :
Therefore, the possible value of x are 10 and 4.
we have
where
c---------> is the total cost of going to the carnival
t---------> is the number of tickets purchased
we know that
<u>the domain of the function is the interva</u>l---------------> [0,∞)
Because the number of tickets can not be negative
<u>The range of the function is the interval</u>-------------> [10,∞)
Because the total cost can not be negative
using a graph tool
see the attached figure
The answer in the attached figure
