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Mark draws a card 50 times from a standard deck of 52 cards and gets a Heart 8 times. What is the experimental probability that

Inessa [10]

<span>Experimental probability is defined as the ratio of the number of times an event occurs to the total number of trials the activity is performed

In this case the number that the event occurred is 8 and the number of trials is 50, so the ratio is 8/50 = 4/25.

Then the answer is option B: 4/25
</span>

4 0

3 years ago

Read 2 more answers

Divide using synthetic division, and write a summary statement in fraction form. 2x^4-x^3-15x^2+3x/x+3

aev [14]

So... first off, we sort the dividend, the numerator, in descending order... so, looking at the exponents in this one, is already sorted in descending order, from 4 down to 1, so that's done.

then the divisor, we have x+3, that means x + 3 = 0, x = -3,
so, we'll be using -3 for the synthetic division then.

$\bf \cfrac{2x^4-x^3-15x^2+3x}{x+3}\\\\
-------------------------------\\\\

\begin{array}{r|rrrrrrrrrl}
-3&&2&-1&-15&3\\
&&&-6&21&-18\\
--&&-&--&--&--\\
&&2&-7&6&\boxed{-15}&\leftarrow remainder
\end{array}$

and now, we'll use those coefficients, dropping the exponents of the polynomial by one, and the remainder, remains as a fraction with the divisior of x+3.

$\bf 2x^3-7x^2+6x-\frac{15}{x+3}$

6 0

3 years ago

Make r the subject of the formula <br>v = \pi \: h {}^{2}(r - \frac{h}{3})v=πh2(r−3h) <br>

mel-nik [20]

Answer:

$\boxed{r = \frac{h}{3} + \frac{v}{\pi {h}^{2} } }$

Step-by-step explanation:

$Solve \: for \: r: \\ = > v= \pi {h}^{2}(r - \frac{h}{3} ) \\ \\ v=\pi {h}^{2}(r - \frac{h}{3} )is \: equivalent \: to \: {h}^{2}\pi(r - \frac{h}{3} ) = v: \\ = > {h}^{2}\pi(r - \frac{h}{3} ) = v \\ \\ Divide \: both \: sides \: by \: \pi {h}^{2} : \\ = > r - \frac{h}{3} = \frac{v}{\pi {h}^{2} } \\ \\ Add \: \frac{h}{3} \: to \: both \: sides: \\ = > r = \frac{h}{3} + \frac{v}{\pi {h}^{2} }$

7 0

3 years ago

Which is an equation of the line that has a slope of and passes through (-1,3)?

zavuch27 [327]

Answer:

the second one is the right answer (2)

4 0

3 years ago

Suppose that from the past experience a professor knows that the test score of a student taking his final examination is a rando

DENIUS [597]

Answer:

$n=13.167^2 =173.369$ and if we round up to the nearest integer we got n =174

Step-by-step explanation:

Previous concepts

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Let X the random variable who represents the test score of a student taking his final examination. We know from the problem that the distribution for the random variable X is given by:

$X\sim N(\mu =73,\sigma =10.5)$