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3 years ago

10

A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back i

n the deck. The table shows the results after 40 trials.
What is the relative frequency of selecting a club?

17%

20%

25%

30%
Outcome Club Diamond Heart Spade
Number of trials 8 12 11 9

2 answers:

scoundrel [369]3 years ago

6 0

Answer:

30%

Step-by-step explanation:

Gennadij [26K]3 years ago

4 0

Answer:

30%

Step-by-step explanation:

Relative frequency : total number of diamonds / total number of cards drawn = 11/40=0.3

The answer is 30%

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<u>Answer:</u>

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

<u>Solution:</u>

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

$\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1$

We know that, <em>product of slopes of perpendicular lines is -1. </em>

So, 1 $\times$ slope of perpendicular line = -1

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Now let us write point slope form for our required line.

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4 years ago

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vovikov84 [41]

Answer with Step-by-step explanation:

We are given that an equation of curve

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By using implicit differentiation, differentiate w.r.t x

$\frac{2}{3}x^{-\frac{1}{3}}+\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=0$

Using formula : $\frac{dx^n}{dx}=nx^{n-1}$

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Substitute the value x= $-3\sqrt3,y=1$

Then, we get

$\frac{dy}{dx}=-\frac{(-3\sqrt3)^{-\frac{1}{3}}}{1}$

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Substitute the values then we get

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