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Mathematics

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insens350 [35]3 years ago

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In this fulcrum, for the weights to be balance, what do the distances d1 and d2 have to be if the overall length is 12 feet?

mel-nik [20]

For the fulcrum to balance, the product of weight and distance on both sides of the fulcrum must be the same.

Let d1= x. since total distance is 12, we can write d2 = 12 - x

for the fulcrum to balance:

60x = 50(12 - x)

60x = 600 - 50x

110x = 600

x = 5.45

Thus, d1= 5.45
and
d2= 12 - d1 = 12 - 5.45 = 6.55

d1 = 5.45
d2 = 6.55

5 0

3 years ago

Read 2 more answers

Suppose the number of gallons of gasoline per day used by a car is normally distributed with a mean of 2.2 gallons and a standar

const2013 [10]

The difference in gallons per day used is 3.6.

The formula to calculate a z-score is:
$z=\frac{X-\mu}{\sigma}$ ,

where X is the value used to calculate the score, μ is the mean and σ is the standard deviation. We have the z-scores so we must work backward:

$3=\frac{X-2.2}{1.2}\text{ and }0=\frac{X-2.2}{1.2}$

For both equations, we will cancel the 1.2 by multiplying both sides:
$3\times1.2=(\frac{X-2.2}{1.2})\times1.2\text{ and }0\times1.2=(\frac{X-2.2}{1.2})\times1.2
\\
\\3.6=X-2.2\text{ and }0=X-2.2$

Now we will cancel 2.2 from both equations by adding it to both sides:

3.6+2.2=X-2.2+2.2 and 0+2.2=X-2.2+2.2
5.8=X and 2.2=X

The difference in gas used per day would be given by
5.8-2.2 = 3.6.

5 0

3 years ago

Your first assignment at El Smello Perfume Co. is to determine the proper setting for filling the bottles. The company wishes to

SCORPION-xisa [38]

Answer:

The answer is "96.864 ml".

Step-by-step explanation:

In this question, the formula of $\bold{CI = X \pm t \times s}$ .

( where X is the mean, t is the coefficient, and s is the mean difference error)

As a result, only 2.5% of containers might include less than 100 ml of volume, its trust coefficient could indeed be used in accordance with 95%, which is $t=1.96$ .