Calculate the arithmetic mean of the numbers. <br><br> -16, -9, and 4

if the value of x varies directly as the value of y , and x = 16 when y = 3/4 , what is the value of x when y = 3/8 ?

Olin [163]

Answer:

x=8

Step-by-step explanation:

If the value of x varies directly as the value of y we can say they are directly proportional. This implies that when y increases x will increase too, and when y decreases x will also decrease.

If x=16 when y=3/4 we can write their relation as:

x/y = 16/(3/4) = 16*(4/3) = 64/3

So, for every value of y, the ratio x/y must maintain equal to 64/3 because both values are proportional.

Now we can see what happens to x when y varies. If y=3/8:

x/(3/8) = 64/3

Multiply both sides by 3/8 to eliminate the 3/8 in the denominator.

x/(3/8) * (3/8) = (64/3) * (3/8)

See that we have a 3 multiplying and another dividing, we can eliminate them.

x = 64/8

x = 8

So, if y decreases to 3/8 x will decrease to 8. Notice that y is decreasing in a half as 3/8 is the half of 3/4, and x is also decreasing in a half from 16 to 8, what makes sense.

3 0

3 years ago

After many studies, a researcher finds that the probability that a word recognition app correctly interprets a handwritten word

andrey2020 [161]

It is unlikely that the handwritten word will be correctly interpreted. , Option B is the answer

The missing statements are

It is impossible that the handwritten word will be correctly interpreted.

It is unlikely that the handwritten word will be correctly interpreted.

It is likely that the handwritten word will be correctly interpreted.

It is certain that the handwritten word will be correctly interpreted.

<h3>What is Probability ?</h3>

Probability can be defined as the likelihood of an event to occur , It has a range of 0 to 1 , where 0 means uncertain and 1 interprets certainty.

In the given question

A researcher finds that the probability that a word recognition app correctly interprets a handwritten word is 1/6 .

As it can be interpreted from the probability that out of 6 chances the app identified in only 1 chance so

It is unlikely that the handwritten word will be correctly interpreted.

Option B is the answer

To know more about Probability

brainly.com/question/11234923

#SPJ1

6 0

2 years ago

1.In 1863, President Abraham Lincoln gave his famous Gettysburg Address. It starts, “Four score and seven years ago....” Four sc

sertanlavr [38]