Determine whether quantities vary directly or inversely and find the constant of variation.

1 answer:

7 0

This is a problem in direct variation. For every five minutes that goes by, Liz utters 225 words. The general form of an equation of direct variation is

w = k x, where w is the # of words, k is the constant of proportionality and x is the number of minutes that have elapsed.

Find k by dividing 225 words by 5 minutes, to find the number of words per minute.

Next: How many minutes are there between 10:30 a.m. and 11:15 a.m.? Calculate w=kx, using your constant of proportionality, k, and that number of minutes.

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To estimate the mean score μ μ of those who took the Medical College Admission Test on your campus, you will obtain the scores o

Juliette [100K]

Answer: 0.4667

Step-by-step explanation:

According to 68–95–99.7 rule , About 99.7% of all data values lies with in 3 standard deviations from population mean ( $\mu$ ).

Here , margin of error = 3s , where s is standard deviation.

As per given , we have want our sample mean $\overline{x}$ to estimate μ μ with an error of no more than 1.4 point in either direction.

If 99.7% of all samples give an $\overline{x}$ within 1.4 , it means that

$3s=1.4$

Divide boths ides by 3 , we get

$s=0.466666666667\approx0.4667$

Hence, So $\overline{x}$ must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an $\overline{x}$ within 1.4 point of μ .

6 0

3 years ago

Find the fair share. ⅜, ⅙, ⅙, ⅛, ½, ¼, ½, ⅔, ¼, ¾, ⅜, ¼, ⅜, ¼

Vlada [557]

2/3rds is the answer. Good luck

5 0

2 years ago

Correct answer only plz!!! Thanks

klemol [59]

Answer:

B) 6

Step-by-step explanation:

9 plus 11 is 20

26-20 is 6 so KL has to be 6

4 0

3 years ago

Which intervals show f(x) decreasing? Check all that apply.

wolverine [178]

The intervals which represents those in which case the function, f(x) is reducing are as follows; [–2.5, –2], [–2, –1.5], [1.5, 2], [2, 2.5].

<h3>Which intervals naming the answer choices show the function f(x) decreasing?</h3>

It follows from the complete task content that the x-intervals between which the function value of f(x) is reducing are to be identified from the graph as attached.

On this note, by observation on the graph, it follows that from between the interval; [–2.5, –2], the function f(x) is decreasing.

Also, between the interval; [–2, –1.5], the function f(x) is decreasing.

Also, between the interval; [1.5, 2], the function f(x) is decreasing.

Also, between the interval; [2, 2.5], the function f(x) is decreasing.

Remark: The answer choices are as follows; [–2.5, –2] [–2, –1.5] [–1, 1] [1.5, 2] [2, 2.5) [2.5, 3]