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2 years ago

The equation y = 5.5x represents a proportional relationship. What is the constant of proportionality?

Mathematics

1 answer:

lara31 [8.8K]2 years ago

5 0

Y = 5.5x
The constant is 5.5
since no matter what y and x are there will always be a 5.5 difference

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Exams are approaching and Helen is allocating time to studying for exams. She feels that with the appropriate amount of studying

svp [43]

Answer: 0.05

Step-by-step explanation:

Let M = Event of getting an A in Marketing class.

S = Event of getting an A in Spanish class,

i.e. P(M) = 0.80 , P(S) = 0.60 and P(M∩S)=0.45

Required probability = P(neither M nor S)

= P(M'∩S')

= P(M∪S)' [∵P(A'∩B')=P(A∪B)']

=1- P(M∪S) [∵P(A')=1-P(A)]

= 1- (P(M)+P(S)- P(M∩S)) [∵P(A∪B)=P(A)+P(B)-P(A∩B)]

= 1- (0.80+0.60-0.45)

= 1- 0.95

= 0.05

hence, the probability that Helen does not get an A in either class= 0.05

3 0

2 years ago

The weight, y, in pounds, of kittens was tracked for the first 8 weeks after birth where t represents the number of weeks after

marshall27 [118]

Answer:

Step-by-step explanation:

The mentioned relationship for the weight, in pounds, of the kitten with respect to time, in weeks, is

$\hat y =1.7 +1.48t$

Weight of the kitten after 10 weeks

$\hat y =1.7 +1.48\times 10$

$\hat y =16.5$ pounds

This modeled equation is based on the observation of the early age of a kitten where the kitten is in its growth period, but in the early stage the growth rate in the weight of the kitten was the same but the growth of any living beings continues till the adult stage. So, after some time, in real life situation, this weekly change in weight will become zero, So, this model is not suitable to measure the weight of the kitten over the larger time period.

Here, t= 10 weeks is nearby the observed time period, so the linearly modeled equation can be used to predict the weight.

Hence, the weight of the kitten after 10 weeks is 16.5 pounds.

8 0

2 years ago

Part 1: Graph piecewise functions from tables and equations. Isabel sells new and used mystery novels online. Her customers are

Charra [1.4K]

A) How much would it cost to ship a package weighing 3.2 pounds? Explain how you arrived at your answer.
Answer:
Shipping cost of 3.2 package is $4.13.
We can't use the cost assigned to 3 lbs because the package is over 3 lbs but it is not over 4 lbs so we use the cost of 4lbs. (check the attachment for price)

b)What type of graph is needed to represent the Media Mail shipping prices as a function of the weight of the books shipped? Explain your thinking.
Answer:
Line graph is needed to represent the Media Mail shipping prices as a function of the weight of the books shipped.
In line graph, x values represent the weight in pounds and the y values represent the cost.

c)Graph the Media Mail shipping prices as a function of the weight of the books shipped.
Answer;
When we graph the Media Mail shipping prices as a function of the weight of the books shipped, it will be;

f(x) = 2.69 + 0.48(x-1)

7 0

2 years ago

What is the length of leg s of the triangle below?

BaLLatris [955]

Option C is your answer.

a² + b² = c²
4² + s² = (√32)²
16 + s² = 32
s² = 16
s = 4

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2 years ago

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While in college, why did Euler work through advanced math books on his own? His father required it. The quality of education of

icang [17]

The correct answer is "His teacher advised it because he did not have time to tutor Euler privately." I just did the assignment and got it correct.

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2 years ago

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