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Zinaida [17]
2 years ago
7

What is the constant of proportionality between y and x in the graph?

Mathematics
1 answer:
Sav [38]2 years ago
4 0

Answer: 4/3 or 2/1.5

Step-by-step explanation:

       The constant of proportionality is also known as the slope. This can be found with change in y over change x.

       Since we have a graph with distinct points, we can use rise over run. For this graph, we will count 3 units up from (0, 0) and 4 units right to (4, 3). This becomes 4/3 or 2/1.5. This is the constant of proportionality.

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Barry orders a wallet for $12.99, a sweater for $20.99, and a watch for $66.49 from a mail-order catalog. He adds $12.06 for tax
PSYCHO15rus [73]
Hi!

To answer this, simply add all of the values together to get the final answer. 

12.99 + 20.99 + 66.49 + 12.06 = 112.53

The answer is 112.53

Hope this helps! :)
5 0
3 years ago
1<br> The measure of Z1 =
ollegr [7]

Answer:

∠1 = 90°

Step-by-step explanation:

The angle inscribed in a semicircle is always 90°

∠1 = 90°

3 0
3 years ago
A small plane flew 808 miles in 4 hours with the wind. Then on the return trip flying against the wind it travels only 488 miles
Blababa [14]

Answer:

Step-by-step explanation:

let wind velocity=x

speed of plane=y

(x+y)*4=808

x+y=808/4=202   ...(1)

(y-x)*4=488

y-x=122 ...(2)

add (1) and (2)

2y=202+122=324

y=324/2=162

from (1)

x+162=202

x=202-162=40

wind velocity=40 m/hr

speed of plane=162 m/hr

8 0
2 years ago
A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas
WITCHER [35]

Answer:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

P(A) = 0.8, P(B) = 0.2

We are assuming that the two events are independent so then we have the following propert:

P(A \cap B ) = P(A) * P(B)

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

P(B' \cup A')

And using the De Morgan laws we know that:

(A \cap B)' = A' \cup B'

So then we can write the probability like this:

P(B' \cup A') = P((A \cap B)')

And using the complement rule we can do this:

P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)

Since A and B are independent we have:

P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32

And then our final answer would be:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

5 0
3 years ago
A window in the shape of a parallelogram has the dimensions given.
devlian [24]

Answer:

A. 20ft

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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