Answer: C you pay fee fewer upfront cost
Step-by-step explanation:
Answer:
Thus, when both S-jams and C-tunes have 20 songs downloaded in a month , the cost will be same.
an expression for the cost of S-Jams $0.99n + $16
Step-by-step explanation:
For
S-Jams
cost of 1 song = $1.29
let there be n songs downloaded in a month
then
cost of n songs = n*cost of 1 song = $1.29n
monthly fee = $10
Total cost of S-Jams = $1.29n+$10
________________________________________
For
C-Tunes
cost of 1 song = $0.99
let there be n songs downloaded in a month
then
cost of n songs = n*cost of 1 song = $0.99n
monthly fee = $16
Total cost for C-Tunes= $0.99n + $16
we have to find When will the company’s plans cost the same.
Total cost of S-Jams = Total cost of C- Tunes
1.29n+10 = 0.99n + 16
=> 1.29n - 0.99n = 16-10
=> 0.30n = 6
=> n = 6/0.3 = 20
Thus, when both S-jams and C-tunes have 20 songs downloaded in a month , the cost will be same.
an expression for the cost of S-Jams $0.99n + $16
Prove: m∠BAC=m∠BCA
Statement
Reason
1. Let ΔABC be an isosceles triangle with
AB = BC.
given
2. Create point D on side AC¯¯¯¯¯ so BD¯¯¯¯¯ bisects
∠ABC.
constructing an angle bisector
3. m∠ABD=m∠CBD
definition of angle bisector
4. BD = BD
Reflexive Property of Equality
5. ΔABD≅ΔCBD
6. m∠BAC=m∠BCA
Corresponding angles of congruent triangles have equal measures.
A. ASA
B. SSS
C. AAS
D. SAS
You are comparing side AB, angle ABD, and side BD in one triangle to side CB, angle CBD, and side BD in the other triangle. That is, you are comparing a Side, Angle, and Side in each triangle. The SAS postulate is the reason the triangles are congruent.
Answer:
The correct option is D) SAS
Step-by-step explanation:
Consider the provided statement.
SAS Similarity Theorem: If two sides of a triangle are proportional to the two sides of another triangle and the included angle in both are congruent, then the two triangles are similar.
Statement 1: Let ΔABC be an isosceles triangle where AB = BC.
Reason 1: Given
Statement 2: Create point D on so that bisects ∠ABC as shown.
Reason 2: Constructing an angle bisector.
Statement 3: m∠ABD = m∠DBC
Reason 3: Definition of angle bisector
Statement 4: BD = BD
Reason 4: Reflexive Property of Equality
Statement 5: ΔABD ≅ ΔCBD
Reason 5: SAS
Statement 6: m∠BAC = m∠BCA
Reason 6: Corresponding angles of congruent triangles are equal.
From Reflexive Property of Equality we know BD=BD, m∠ABD = m∠DBC definition of angle bisector and AB = BC, which follows the Side angle side (SAS) similarity.
Because either way you still get an answer that defines whether it has infinitely many solutions, or if it has no solution.
For a vending machine having Service time is 20 seconds per cup and customers arrive at a mean rate of 64 per hour, then average number of customers waiting in a line is 0.10
Number of customer in a queue means those who are waiting for a server.
Given the following information:
Mean arrival rate of customer, μ=64 customers per hour
Service time is 20 seconds per cup that is 1 customer per 20 seconds
λ=180 customers per hour
Average number of customers waiting in a line,
On substituting the values,
Thus, average number of customers waiting in a line is 0.10
Learn more about queuing theory, here:
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Complete question:
A vending machine dispenses hot chocolate or coffee. Service time is 20 seconds per cup and is constant. Customers arrive at a mean rate of 64 per hour, and this rate is Poisson-distributed. Determine the average number of customers waiting in line.
This problem engages queueing theory in mathematics, specifically it involves a vending machine with constant service time and Poisson-distributed customer arrival rate. The system is analyzed to be stable as the service rate surpasses the arrival rate.
This problem is a classic case of queueing theory in mathematics, particularly relevant in Probability and Statistics. Our case involves a vending machine that has a constant service time of 20 seconds per cup of hot chocolate or coffee. The mean customer arrival rate is presented as 64 per hour, described as being Poisson-distributed.
To start, consider the service rate. With the service time being a constant 20 seconds per cup, this translates to 3 cups being served per minute or 180 cups per hour. This value becomes our service rate µ. For the arrival rate or lambda (λ), the rate was given as 64 customers per hour.
In this particular queuing system, the service rate is higher than the arrival rate. This means that the system is stable, and queues are not expected to be overly long because customers are being served at a faster rate than they are arriving.
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Graphs that represent functions have one input corresponding to one output. Examples include straight lines, parabolas, and sine waves.
Graphs that represent functions are those in which every input has exactly one output. In other words, there can only be one value of y for each value of x. For example, a straight line, a parabola, or a sine wave are graphs that represent functions.
On the other hand, graphs that do not represent functions may have one input value mapping to multiple output values or no output values at all. Examples of such graphs include circles, ellipses, or a graph with one vertical line intersecting it at multiple points.
It's important to note that in a function, the vertical line test can be used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, then the graph does not represent a function.
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