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lisabon 2012 [21]
3 years ago
11

Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produc

es parts at a constant rate, how many parts does Machine A produce in 6 minutes?
Mathematics
1 answer:
umka2103 [35]3 years ago
8 0

Answer:

30 parts

Step-by-step explanation:

We are given that machine produces 100 parts twice as  fast as machine B does.

Machine produces 100 parts in 40 minutes.

We have to find number of parts produces by machine A in 6 minutes.

According to question

Machine A  takes time to produce 100 parts =\frac{40}{2}=20 minutes

Machine A and machine B produces parts at constant rate.

Machine A produces parts at the rate=\frac{100}{20}=5 parts /minute

In one minute,Machine A produces =5 parts

In 6 minutes , machine B produces =5\times 6=30 parts

Hence, machine A produce parts in 6 minutes=30

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What is the value of the expression below when y = 5?
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Answer:

56

Step-by-step explanation:

10y+6

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10*5=50

50+6=56

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We measure the diameters for a random sample of 25 oak trees in a neighbourhood. Diameters of oak trees in the neighbourhood fol
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Answer:

The required confidence inteval = 94.9%.

Step-by-step explanation:

Confidence interval: Mean ± Margin of error

Given: A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969).

i.e.  Mean + Margin of error = 42.969               (i)

Mean - Margin of error = 36.191                    (ii)

Adding (i) and (ii), we get

2Mean =79.16\\\\\Rightarrow\ Mean= 39.58

Margin of error = 42.969-39.58             [from (i)]

= 3.389

Margin of error = t^* \dfrac{\sigma}{\sqrt{n}}

here n= 25 , \ \sigma=8.25

i.e.

3.389=t^*\dfrac{8.25}{5}\\\\\Rightarrow\ t^* = \dfrac{3.389}{1.65}\\\\\Rightarrow\ t^* =2.0539 \

Using  excel function 1-TDIST.2T(2.054,24)

The required confidence inteval = 94.9%.

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With a beginning balance of $2500 and no additional charges, there is no grace-period, you will just pay the minimum payment eac
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Answer:

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b = $20.83 per month

c = 249.98 = $249.98 interest charges

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d = 35.35%

e = Answer is in the name; basic payment is a contract which means whilst account remains open charges are requested without fail. Should balance be less or on zero, charges are still applied.

Step-by-step explanation:

2500 x 1.2499 = interest only for start month 13 =3124.75

3124.75/ 100 x 1.08   = 8% of this = 249.98 each year.

We only have to divide each by 12 to work out monthly individual charges and subtract to find out payments.

3124.75 - 249.98 = 2874.77 = Total after charges each year.

249.98/12 = 20.83 = monthly charges.

3124.75- 2500 = 624.75 payments each year

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