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1 year ago

Estimate 8978 x 38 by first rounding each number so that it has only 1 nonzero digit.

Mathematics

1 answer:

Afina-wow [57]1 year ago

6 0

Answer:

9,000 x 40 = 360,000

Step-by-step explanation:

9,000 x 40 = 360,000

A one nonzero digit is a number that has only one number that's not 0. For example, 300 has only one nonzero digit.

Hope this helps!

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A markup of 75% on cost is equivalent to a 75% markup on selling price.

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Answer:

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2 years ago

An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelec

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Answer:

The probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.

Step-by-step explanation:

Given:

The probability of getting a microprocessor from firm A is, $P(A)=45\%=0.45$

The probability of getting a microprocessor from firm B is, $P(B)=30\%=0.30$

The probability of getting a microprocessor from firm C is, $P(C)=25\%=0.25$

Now, let event D be having a defective microprocessor at random.

So, as per the question,

Probability of producing a defective microprocessor from firm A is, $P(D/A)=6\%=0.06$

Probability of producing a defective microprocessor from firm B is, $P(D/B)=7\%=0.07$

Probability of producing a defective microprocessor from firm C is, $P(D/C)=5.5\%=0.055$

Now, probability of having a defective microprocessor when selected at random is given as:

$P(D)=P(A)\cdot P(D/A)+P(B)\cdot P(D/B)+P(C)\cdot P(D/C)\\P(D)=(0.45\times 0.06)+(0.30\times 0.07)+(0.25\times 0.055)\\P(D)=0.027+0.021+0.01375\\P(D)=0.06175\ or\ P(D)=0.06175\times 100\approx 6.2\%$

Therefore, the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.

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2 years ago

Beakers X and Y contain some water. If 50 ml of water is transferred from Beaker X

eduard

Answer:

140 ml

Step-by-step explanation:

Let x be the amount of water in Beaker X and y be the amount of water in Beaker Y.

Then we get following equations:

First part

x - 50 = 3/7(y + 50)
7x -350 = 3y + 150
7x = 3y + 500

Second part

x + 100 = 4(y - 100)
x + 100 = 4y - 400
x = 4y - 500

Substitute x in first equation:

7(4y - 500) = 3y + 500
28y - 3500 = 3y + 500
28y - 3y = 500 + 3500
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y = 4000/25
y = 160 ml

Then finding x:

x = 4*160 - 500
x = 640 - 500
x = 140 ml

Initial amount of water in Beaker X is 140 ml, in Beaker Y is 160 ml

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2 years ago

Find the volume and surface area of the earth if its circumference is 40 000 km

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Answer:

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2 years ago

Find two numbers that have a sum of 13 and a product of -14

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Answer:

Step-by-step explanation:

Because 6+7= 13 and 7 times -7 = -14

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1 year ago

Read 2 more answers

Estimate 8978 x 38 by first rounding each number so that it has only 1 nonzero digit.​

Estimate 8978 x 38 by first rounding each number so that it has only 1 nonzero digit.