Which number line represents the solution set for the inequality 3x <

Select the converse of "If you saw the movie, then you know how it ends."

Marianna [84]

To form the converse, interchange the hypothesis and the conclusion.

If u know how the movie ends, then u saw the movie.

8 0

4 years ago

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A 125-mL container of amoxicillin contains 600 mg/5 mL. How many milliliters would be used to administer 400 mg of amoxicillin?

Dovator [93]

Answer:

3.33 milliliters.

Step-by-step explanation:

We have been given that a 125-mL container of amoxicillin contains 600 mg/5 mL.

First of all, we will find amount of mg's of amoxicillin per ml as:

$\text{Concentration of amoxicillin per ml}=\frac{\text{600 mg}}{\text{5 ml}}$

$\text{Concentration of amoxicillin per ml}=\frac{\text{120 mg}}{\text{ml}}$

Now, we will use proportions as:

$\frac{\text{1 ml}}{\text{120 mg}}=\frac{x}{\text{400 mg}}$

$\frac{\text{1 ml}}{\text{120 mg}}\times \text{400 mg}=\frac{x}{\text{400 mg}}\times \text{400 mg}$

$\frac{\text{400 ml}}{120 }=x$

$\text{3.33 ml}=x$

Therefore, 3.33 milliliters would be used to administer 400 mg of amoxicillin.

5 0

4 years ago

Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If

valentinak56 [21]

Answer:

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

Step-by-step explanation:

Given monthly income of Ron is $3,142.23

Ron contributes 10% of his monthly income that is $ 314.223

Given : Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.

Total amount he contribute in 40 years paying 5.5% compounded monthly is given by

interest rate(r) = $\frac{0.055}{12}$

time period = 40 years = 480 months

Principal amount = $ 314.223

Future value = $P(\frac{(1+r)^n-1}{r} )$

Substitute , we get,

$=3142.23\cdot\frac{.10\left(\left(1+\frac{.055}{12}\right)^{12\cdot40}-1\right)}{\frac{0.055}{12}}$

Thus, future value is $547074.681009.

After retirement his monthly income when he has $547074.681009 amount.

$P=\dfrac{A\cdot\frac{i}{12} }{1-(1+\frac{i}{12})^{-n}}$

Putting values , we get,

$P=\frac{\left(547074.68\cdot\frac{.055}{12}\right)}{1-\left(1+\frac{0.055}{12}\right)^{-240}}$

P = $3763.25

He will receive a monthly income of $3763.25.

But given he will need a monthly income of $4,123 for 20 years which is not met by Ron.

So,the amount he need to supplement his monthly income when he retires by (4123-3763.25)= $359.74

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

4 0

3 years ago

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Determine the values of the variables in the binomial probability formula for the following statement: What is the probability o

suter [353]

Answer:

k = 5

n = 10

p = 0.5

Step-by-step explanation:

Let X be a discrete random variable. The binomial probability formula is used to calculate the probability of obtaining k-successes in "n" independent trials for an experiment with probability of success p and probability of failure q.

The binomial formula is the following:

$P(X=k) = \frac{n!}{k!(n-k)!}p^kq^{n-k}$

Where:

k = number of successes

n = number of trials

p = probability of success

q = probability of failure.

So, for the given problem

k = 5 Because you want to get the probability of getting 5 "heads"

n = 10 Because the experiment is repeated 10 times

p = 0.5 Because the probability of obtaining a "heads" when flipping a coin is 50%

q = 0.5

4 0

4 years ago

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"A student measures the length of a rectangularposter to the nearest centimeter and finds thatthe length is 75 cm. Another stude

anastassius [24]

Answer:

See below

Step-by-step explanation:

The result of the calculation of area ( L x W ) should have no more significant digits than the lowest factor ....in this case 75 has only TWO significant digits...... the naswer should have the same ...two

75 * 50.3 = ~3800 cm^2

5 0

2 years ago

Which number line represents the solution set for the inequality 3x < –9?