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3 years ago

In an ore, 9.8% of its total weight is metal. How many pounds of metal are in 1,950 lb of ore?

Mathematics

1 answer:

Fudgin [204]3 years ago

5 0

Answer

Find out the how many pounds of metal are in 1,950 lb of ore .

To proof

let us assume that the pounds of metal are in 1,950 lb of ore be x .

As given

In an ore, 9.8% of its total weight is metal.

ore weight = 1,950 lb

9.8% is written in the decimal form

$= \frac{9.8}{100}$

= 0.098

Than the equation becomes

x = 0.098 × 1950

x = 191.1 pounds

Therefore the 191.1 pounds of metal are in 1,950 lb of ore .

Hence proved

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A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5

Elodia [21]

Answer:

7.3% percentage of the bearings produced will not be acceptable.

Step-by-step explanation:

Consider the provided information.

Average diameter of the bearings it produces is .500 inches. A bearing is acceptable if its diameter is within .004 inches of this target value.

Let X is the normal random variable which represents the diameter of bearing.

Thus, 0.500-0.004<X<0.500+0.004

0.496<X<0.504

The bearings have normally distributed diameters with mean value .499 inches and standard deviation .002 inches.

Use the Z score formula: $\frac{X-\mu}{\sigma}$

Therefore

$\frac{0.496-0.499}{0.002}\leq z\leq \frac{0.504-0.499}{0.002}$

$\frac{-0.003}{0.002}\leq z\leq \frac{0.005}{0.002}$

$-1.5\leq z\leq 2.5$

Now use the standard normal table and determine the probability of that a ball bearing will be acceptable.

$P(-1.5\leq z\leq 2.5)=0.9938-0.0668=0.9270$

We need to find the percentage of the bearings produced will not be acceptable.

So subtract it from 1 as shown.

1-0.9270=0.073

Hence, 7.3% percentage of the bearings produced will not be acceptable.

3 0

3 years ago

Substitution !! Check your solution<br><br>y - x = 3x + 2<br>2x + 2y = 14 - y (by Substitution)<br>

GaryK [48]

Answer:

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Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

Rhea is writing a paper, and she notices that she can write 1.25 pages every 2 hours.

Ymorist [56]

Answer:

Rhea's estimation is unreasonable.

Step-by-step explanation:

Identify what you know:

1) Rhea calculates that she can write 1.25 pages every 2 hours

2) Rhea is calculating how long it would take her to write 6 pages.

Using Rhea's initial calculation, we can figure out roughly, how long it would take her to finish 6 pages.

First we need to divide 6 by 1.25, to figure out how many "2 hour" periods it would take Rhea.

6/1.25 = 4.8

4.8 x 2 = 9.6

It would take Rhea roughly 9.6 hours to finish 6 pages, which is 3.6 hours more than her original estimation. Thus, her estimate is unreasonable.

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3 years ago

A tree casts a shadow 72 feet long. at the same time, a man who is 6 feet tall casts a shadow 8 feet long. what is the height of

gtnhenbr [62]

The tree's height is 54 ft.

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3 years ago

Kim worked these hours last week: Monday 8, Tuesday 7.5, Wednesday 6.5, Thursday 3, and Friday 9 hours. She is paid $20.25 per h

nevsk [136]

A)Total hours she worked =8+7.5+6.5+3+9= 34 hours
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She was paid $688.50

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3 years ago