All categories

2 years ago

Weekly wages at a certain factory are

Mathematics

1 answer:

bagirrra123 [75]2 years ago

4 0

Answer:

The probability that a worker makes between $400 and $450 is .3413 using the calculator and .34 using the empirical rule.

Step-by-step explanation:

There are two ways to approach this problem.

The first way is to find the z-score corresponding to $400 and $450 weekly wage and find the p-value in between these values.

$\displaystyle \frac{400-400}{50} < z < \frac{450-400}{50}$
$\displaystyle 0 < z < 1$

If you use the normalcdf function on your calculator and put 0 and 1 as the lower and upper bounds, respectively, you will get an area of .3413.

Another way of looking at this problem is to recognize that the weekly wages given are the mean and one standard deviation above the mean.

We can use the Empirical Rule, 68-95-99.7, in order to see that going one standard deviation above the mean would be an area of 68/2 = .34.

I've attached an image that shows you what the normal curve looks like.

You might be interested in

Differentiate 1/√x^2-1

xz_007 [3.2K]

The function is $f(x)= \frac{1}{ \sqrt{ x^{2} -1}}$

write f again as $f(x)= (x^{2} -1)^{- \frac{1}{2} }$

(the power -1 takes the expression to the denominator, and the power 1/2 is square root)

writing rational expressions as power expressions, generally makes differentiation more practical.

In $f(x)= (x^{2} -1)^{- \frac{1}{2} }$ we notice 2 functions:

the outer function $u^{ -\frac{1}{2} }$ , where $u=x^{2} -1$ , and the inner, u itself , which is a function of x.

So we differentiate by using the chain rule:

$f'(x)= -\frac{1}{2}u^{- \frac{1}{2}-1 }*u'= -\frac{1}{2}u^{- \frac{3}{2} }*(2x)=- \frac{x}{ \sqrt{ u^{3} } } =- \frac{x}{ \sqrt{ (x^{2} -1)^{3} } }$

Answer: $- \frac{x}{ \sqrt{ (x^{2} -1)^{3} } }$

3 0

3 years ago

Given A = {1, 2, 3), B = {2, 4, 6) and C = {1, 2, 3, 4, 5, 6), then An (Bn C) = _

sammy [17]

Answer:

{2}

Step-by-step explanation:

A ∩ (B ∩ C) = {1, 2, 3} ∩ ({2, 4, 6} ∩ {1, 2, 3, 4, 5, 6})

= {1, 2, 3} ∩ {2, 4, 6}

= {2}

A ∩ (B ∩ C) = {2}

_____

The intersection of sets is the list of elements common to those sets.

3 0

3 years ago

PLEASE HELP I AM STRUGGLING

ArbitrLikvidat [17]

Answer:

y=-2x+2

Step-by-step explanation:

the slope intercept form is y=mx+b

slope - to find the slope from 2 point you do (y2-y1)/(x2-x1) so it would be

(14-2)/(-6-0). which out simplify to -2.

y-intercept - the y-intercept is given in one of the points (0,2).

5 0

3 years ago

A pole, 90 cm long, is painted green, white, and black in the ration 3:4:2. What length of the pole is painted black?

ollegr [7]

3u + 4u + 2u = 9u
9u = 90
1u = 90/9 = 10

since black is 2u ( from the ratio given)
2u = 10 x 2 = 20

Answer : 20cm of the pole is painted black.

The bar diagram is in the picture :)

3 0

4 years ago

What are the values of the digits in 8,040,930?

kkurt [141]

Answer:

the second option

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers