What is 3,393 divided by 13

A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from

Kryger [21]

Answer:

The expression would give the probability that one marble is yellow and the other marble is red is,

$P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)$

Step-by-step explanation:

A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. So in total there are 25 marbles.

Hence,

Probability of getting yellow ball = $P(Y)=\dfrac{8}{25}$

Probability of getting red ball = $P(R)=\dfrac{5}{25}$

Probability that one marble is yellow and the other marble is red is,

$P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)=\dfrac{8}{25}\cdot \dfrac{5}{25}+\dfrac{5}{25}\cdot \dfrac{8}{25}=0.128$

8 0

3 years ago

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8x2 − 5 + 7x4 − 9x − x5

Veseljchak [2.6K]

Answer:

$=-\left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)$

Step-by-step explanation:

Factor out comon Term -1

$=-\left(x^5-7x^4-8x^2+9x+5\right)$

Factor $x^5-7x^4-8x^2+9x+5:\quad \left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)$

$x^5-7x^4-8x^2+9x+5$

Use the rational root theorem

$a_0=5,\:\quad a_n=1$

The dividers of $a_{0}$ : 1, 5, The dividers of $a_n$ : 1

Therefore, check the following rational numbers: ± $\frac{1,\:5}{1}$

$\frac{1}{1}$ is a root of the expression, so factor out $x-1$

$=\left(x-1\right)\frac{x^5-7x^4-8x^2+9x+5}{x-1}$

$\frac{x^5-7x^4-8x^2+9x+5}{x-1}=x^4-6x^3-6x^2-14x-5$

$=x^4-6x^3-6x^2-14x-5$

$=-\left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)$

8 0

3 years ago

A time for the 100 meter sprint of 14.9 seconds at a school where the mean time for the 100 meter sprint is 17.6 seconds and the

kirza4 [7]

Answer:

Z-score = -1.285

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 17.6 seconds

Standard Deviation, σ = 2.1 seconds

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

For x = 14.9, we have:

$z_{score} = \displaystyle\frac{14.9-17.6}{2.1} = -1.285$

A z-score to be unusual if its z-score is less than -2.00 or greater than 2.00.

Thus, the z-score is not unusual as it lies in the range [-2.00, 2.00]

6 0

3 years ago

If a scientific team uses special equipment to measures the pressure under water and finds it to be 282 pounds per square foot,

taurus [48]

p=282 pounds per square foot =1 376.8 kg/m2

d- density of water

d≈997 kg/m³

p=d*h

h=p/d

h=1 376.8/997

h=1.38 m (about 4530 feet 105⁄64 inches)

4 0

3 years ago

Do question 40 please i need help show your work please i need help so bad

zimovet [89]

So 15% is out of 100%, and the cab company has sent 30 cabs out of x?(x is the total number of cabs). $\frac{15}{100} = \frac{30}{x}$

So, by setting up that data we already know, we can make this equation to figure out how many cabs total the company actually has:

<span>15x = 100 * 30
</span>
We do the multiplication on the right side

15x = 3000

And divide to isolate the "X" variable

x = 200

So, the cab company has 200 cabs total, and they sent out 30 of them.

3 0

4 years ago

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