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2 years ago

A quality control officer is randomly checking the weights of pumpkin seed bags being filled by an automatic

Mathematics

1 answer:

Anni [7]2 years ago

7 0

<h2>Answer:</h2>

Option: D is the correct answer.

D. x < 397.9 and x > 402.1

<h2>Step-by-step explanation:</h2>

It is given that:

Each bag is advertised as weighing 400 grams.

Also, a bag must weigh within 2.1 grams in order to be accepted.

Hence, for the bag being accepted the weight must be no less than 2.1 gram from 400 gram and should be no more than 2.1 gram from 400 grams.

i.e. the weight of the bag must be such that:

400-2.1≤ x ≤ 400+2.1

i.e.

397.9 ≤ x ≤ 402.1

Hence, if the weight of the bag is less than 397.9 grams or is more than 402.1 grams then the bag will be rejected.

i.e. The range for the bag being rejected is: x<397.9 grams and x>402.1 grams.

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Alex

Answer:

12.8 is the speed of the boat

Step-by-step explanation:

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3 years ago

Which expression represents the volume, in cubic units, of the shaded part of the sphere? four-thirdsπ(103) four-thirdsπ(43) fou

oee [108]

The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³

<h3>Volume of composite object</h3>

The sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:

V = 4/3πr³

where:

r is the radius of the sphere

<u>For the outer sphere:</u>

V = 4/3π(20)³

<u>For the inner sphere:</u>

V = 4/3π(4)³

The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³

Learn more on volume of sphere here: brainly.com/question/10171109

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6 0

2 years ago

How do you solve this problem? 6 x 2/5 =

Zanzabum

You have to make 2/5 into a whole number , in this case a decimal
2/5 in decimal form = 0.4
To make it easier for you 0.4 by 10 and then it will become 4
So 6x4=24
Then divide by 10 which will become 2.4
The answer is 2.4

8 0

3 years ago

Emily is trying to rewrite 45 - 27 as the product of the GCF of the two numbers and

Karolina [17]

No, it won’t work. The greatest common factor between 45 and 27 is 9, but 45-27=18. So it cannot work.

3 0

3 years ago

Jack has a saving account of value $65,550 at the start. The saving account has an interest rate of 3% that is compounded every

aksik [14]

Given:

Principal value = $65,550

Rate of interest = 3% compounded every six month

To find:

The taken to have $100,000 in Jack's account.

Solution:

The formula for amount is

$A=P(1+\dfrac{r}{n})^{nt}$

where, P is principal, r is rate of interest, n is number of times interest compounded in an year, t is time in number of years.

Interest compounded every six month. It means, interest compounded 2 times in an year.

Substitute A=100000, r=0.03 and n=2 in the above formula.

$100000=65550(1+\dfrac{0.03}{2})^{2t}$

$\dfrac{100000}{65550}=(1+0.015)^{2t}$

$1.525553=(1.015)^{2t}$

Taking log on both sides.

$\log (1.525553)=\log (1.015)^{2t}$

$\log (1.525553)=2t\log (1.015)$

$\dfrac{\log (1.525553)}{2\log (1.015)}=t$

$t=14.1838928$

$t\approx 14.18$

Therefore, after 14.18 year the amount will reach at $100,000 or we can say that in 15th year the amount will reach at $100,000.

3 0

3 years ago