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3 years ago

Estamate the value of y when x = 2.5

Mathematics

1 answer:

Natalija [7]3 years ago

7 0

Answer:

There should be a rule

Step-by-step explanation:

Replace the x values from the question with the rule given and you will get your answer

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The average reading speed of students completing a speed-reading course is 435 words per minute (wpm). If the standard deviation

nekit [7.7K]

Answer:

$Z = -1.58$

Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.

$Z = 0.67$

Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.

$Z = -0.25$

Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.

$Z = 2.92$

Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.

Step-by-step explanation:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations a measure X is above or below the mean.

In this problem, we have that:

$\mu = 435, \sigma = 60$

a. 340 wpm

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{340 - 435}{60}$

$Z = -1.58$

Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.

b. 475 wpm

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{475 - 435}{60}$

$Z = 0.67$

Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.

c. 420wpm

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{420 - 435}{60}$

$Z = -0.25$

Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.

d. 610wpm

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{610 - 435}{60}$

$Z = 2.92$

Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.

6 0

3 years ago

Find dy/dx using implicit differentiation cos x + sin y = 1

777dan777 [17]

Differentiate both sides with respect to x, using the chain rule for the sine term:

$\cos(x) + \sin(y) = 1$

$\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0$

Solve for dy/dx :

$-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}$

8 0

3 years ago

Find two consecutive whole numbers that the square root of 47 lies between.

ella [17]

$\sqrt{47}\approx6.9$

So those two consecutive whole numbers will be 6 and 7.

3 0

3 years ago

Danny is thinking of buying a gym membership. He has two gums available to choose from. Gym A has a $35 initial fee and costs $4

Ivanshal [37]

For this, all you have to do is create equations where all you have to do is change the x value. The equation for gym A would be 35 + 42x, where x is the number of months he has the membership, and the first number is the initial fee. The equation for gym B would be 65 + 36x, following the same rules. Now all you have to do is set both of these equations equal to each other:
65+36x=35+42x
Solving this equation results in x=5, which means that he has to have the memberships for 5 months for them to be equal. Now just plug that in to one side of the equation to get the amount he has to spend:
65+36(5) = $245

6 0

3 years ago

What is the sum of a number n and 4 is no more than 13

posledela

N+4=13
-4 -4
n = 9

the sum of a number(n) and 4 that is no larger than 13 is 9

8 0

3 years ago