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lapo4ka [179]
4 years ago
14

Clare wants to mail a package that weighs 4 1/2 ponds what could be its volume in liters

Mathematics
1 answer:
Sati [7]4 years ago
7 0

Answer:

The volume in liters is 2.041165665 liter.

Step-by-step explanation:

Given : Clare wants to mail a package that weighs 4\frac{1}{2} pounds.

To find : What could be its volume in liters ?

Solution :

We know that,

Pound (lb) is a unit of Weight used in Standard system.

Liter (l) is a unit of Volume used in Metric system.

To convert 1 pound into liter is

1 pound (lb) = 0.45359237 liter (l)

4\frac{1}{2} pounds in simpler fraction is \frac{9}{2}

Converting into liter,

\frac{9}{2} pound (lb)=\frac{9}{2}\times 0.45359237 liter (l)

\frac{9}{2} pound (lb) = 2.041165665 liter (l).

Therefore, the volume in liters is 2.041165665 liter.

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Factor completely.<br> - 2x² + 20x – 48 =<br><br> What is the missing factor?
Lemur [1.5K]

Answer:

- 2(x - 6)(x - 4)

Step-by-step explanation:

Given

- 2x² + 20x - 48 ← factor out - 2 from each term

= - 2 (x² - 10x + 24) ← factor the quadratic

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 6 and - 4, since

- 6 × - 4 = + 24 and - 6 - 4 = - 10, thus

x² - 10x + 24 = (x - 6)x - 4) and

- 2x² + 20x - 48 = - 2 (x - 6)(x - 4) ← in factored form

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3 years ago
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Solution for 20=v+9-16 equation
gulaghasi [49]

Answer:

If you are solving for v, v= 27    cause 27+9=36 then you subtract 16 from 36 and it equals 20.

Step-by-step explanation:

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My dad was painting our living room. He started with 5/9 of a can of paint.
SpyIntel [72]

Answer:

0.2 rounded up or 1/5 (also rounded up)

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3 years ago
Solve the elimination method
vlada-n [284]

Answer:

C)No Solution

Step-by-step explanation:

Given  2 equations

  • 4x-2y=1
  • 2x-y=2

Mentioned to solve using eliminations method

4x-2y=1

2x-y=2

Multiply second equation with 2

⇒second equation is 4x-2y=4

Now subtract second equation from 1st equation

4x-2y-(4x-2y)=1-4

4x-4x-2y+2y=-3

0+0=3

0=3

But 0≠3

Therefore there exists no solutions for the given pair of equations

Both equations are Parallel lines as they have the same slope

7 0
3 years ago
A psychology professor assigns letter grades on a test according to the following scheme. A: Top 7% of scores B: Scores below th
NISA [10]

Answer:

The minimum score required for an A grade is 89.8.

Step-by-step explanation:

We are given that a psychology professor assigns letter grades on a test according to the following scheme. A : Top 7% of scores. B : Scores below the top 7% and above the bottom 64%. C : Scores below the top 36% and above the bottom 25%. D : Scores below the top 75% and above the bottom 6%. F : Bottom 6% of scores.

Scores on the test are normally distributed with a mean of 78.4 and a standard deviation of 7.6.

<u><em>Let X = Scores on the test</em></u>

SO, X ~ Normal(\mu=78.4,\sigma^{2} =7.6^{2})

The z-score probability distribution for normal distribution is given by;

                              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 78.4

            \sigma = standard deviation = 7.6

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, the minimum score required for an A grade so that it represents Top 7% of scores is given by;

      P(X \geq x) = 0.07   {where x is the required minimum score

      P( \frac{X-\mu}{\sigma} \geq \frac{x-78.4}{7.6} ) = 0.07

       P(Z \geq \frac{x-78.4}{7.6} ) = 0.07

<em>So, the critical value of x in the z table which represents the top 7% of the area is given as 1.4996, that is;</em>

                        \frac{x-78.4}{7.6} =1.4996

                        {x-78.4}{} =1.4996\times 7.6

                        x  = 78.4 + 11.39696 = <u>89.8 or 90</u>

Hence, the minimum score required for an A grade is 89.8.

8 0
3 years ago
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