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2 years ago

What is the greatest whole number that will divide both 792 and 990 exactly

2 answers:

8 0

Factor the numbers, starting from the smallest:
792=2*3*3*11*4
990=2*3*3*11*5
the greatest whole number that can be divided by both 792 and 990 is 2*3*3*11=198
the smallest whole number that can divide both 792 and 990 exactly is 2*3*3*11*4*5=3960

Not sure which one you are asked to find.

Eduardwww [97]2 years ago

6 0

I believe the answer is 198

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Mathew rolls a number cube labeled with the numbers 1−6. He then flips a fair coin. What is the probability that he rolls a 4 an

kap26 [50]

Answer: 0.083

Step-by-step explanation:

Numbers on cube=6

faces on coin=2

Therefore, the total outcomes= $6\times2=12$

Now, the favorable outcome that he rolls a 4 and flips a head=1

The probability that he rolls a 4 and flips a head= $\frac{\text{favorable outcome}}{\text{total outcome}}$

⇒The probability that he rolls a 4 and flips a head= $\frac{1}{12}$ =0.083333\approx0.83.

Therefore, The probability that he rolls a 4 and flips a head=0.083

3 0

2 years ago

Read 2 more answers

dr.smith prescribes gentamicin for a patient with a serious bacterial infection . if a 750 ml bag contains 300 mg gentamicin and

Alexus [3.1K]

Answer:

120 mg

Step-by-step explanation:

750 ml 300mg

300 ml x mg

750 / 300 = 300 / x

x = (300 x 300) / 750 = 120 mg

3 0

2 years ago

The height h of the equilateral triangle below is given by y= 5 cot theta where theta = 30 degrees

brilliants [131]

To solve this we can take two different approaches:

1. We can substitute theta by 30° and evaluate our expression using a calculator:
$y=5cot( \alpha )$
$y=5cot(30)$
$y=8.7$

2. We can use the unitary circle and the fact that $cot \alpha = \frac{cos( \alpha }{sin( \alpha )}$ , so we can rewrite our expression as follows:
$y=5cot( \alpha )$
$y=5 \frac{cos( \alpha )}{sin( \alpha )}$
$y= \frac{cos(30)}{sin(30)}$
From our unitary circle we can check that $cos(30)= \frac{ \sqrt{3} }{2}$ and $sin(30)= \frac{1}{2}$ .
Lets replace those values in our expression and simplify:
$y= \frac{ 5(\frac{ \sqrt{3} }{2})}{ \frac{1}{2} }$
$y=5 \sqrt{3}$
$y=8.7$

Either way we can conclude that the correct answer is: D)8.7

6 0

1 year ago

Find the solution of this system of equations -2x + 8y = 14 -2x – 2y = -26

Elodia [21]

X cancels out, 8y + 2y is equal to 10y, and 26 + 14 is 40, so y=4

5 0

2 years ago

Read 2 more answers

In a data set with a range of 55.4 to 105.4 and 400 observations, there are 176 observations with values less than 86. Find the

IrinaVladis [17]

<u>ANSWER: </u>

In a data set with a range of 55.4 to 105.4 and 400 observations.86 lies in the 49th percentile.

<u>SOLUTION: </u>

Given, in a data set with a range of 55.4 to 105.4 and 400 observations.

There are 176 observations below the value of 86, and we need to find the percentile for 86.

We know that, percentile formula = $\frac{\text {number of observations below the required number}}{\text {total number of observations}} \times 100$

Percentile of 86 = $\frac{176}{400} \times 100$

Since, we cancelled 400 with 100 we get 4 , hence above expression becomes,

$=\frac{176}{4}$ = 49

So, percentile of 86 = 49

Hence, 86 lies in the 49th percentile.

5 0

2 years ago