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2 years ago

13

If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select i

s not a spade

1 answer:

Svet_ta [14]2 years ago

7 0

39/52 a standard deck has 13 spades so 52-13=39 then 39 cards out of the 52 is 39/52

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Graph the following features:<br> • Y-intercept = 2<br> • Slope =1/3<br><br><br><br> PLEASE HELP

Alex Ar [27]

Answer:

Step-by-step explanation:

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2 years ago

(c). It is well known that the rate of flow can be found by measuring the volume of blood that flows past a point in a given tim

aleksklad [387]

(i) Given that

$V(R) = \displaystyle \int_0^R 2\pi K(R^2r-r^3) \, dr$

when R = 0.30 cm and v = (0.30 - 3.33r²) cm/s (which additionally tells us to take K = 1), then

$V(0.30) = \displaystyle \int_0^{0.30} 2\pi \left(0.30-3.33r^2\right)r \, dr \approx \boxed{0.0425}$

and this is a volume so it must be reported with units of cm³.

In Mathematica, you can first define the velocity function with

v[r_] := 0.30 - 3.33r^2

and additionally define the volume function with

V[R_] := Integrate[2 Pi v[r] r, {r, 0, R}]

Then get the desired volume by running V[0.30].

(ii) In full, the volume function is

$\displaystyle \int_0^R 2\pi K(R^2-r^2)r \, dr$

Compute the integral:

$V(R) = \displaystyle \int_0^R 2\pi K(R^2-r^2)r \, dr$

$V(R) = \displaystyle 2\pi K \int_0^R (R^2r-r^3) \, dr$

$V(R) = \displaystyle 2\pi K \left(\frac12 R^2r^2 - \frac14 r^4\right)\bigg_0^R$

$V(R) = \displaystyle 2\pi K \left(\frac{R^4}2- \frac{R^4}4\right)$

$V(R) = \displaystyle \boxed{\frac{\pi KR^4}2}$

In M, redefine the velocity function as

v[r_] := k*(R^2 - r^2)

(you can't use capital K because it's reserved for a built-in function)

Then run

Integrate[2 Pi v[r] r, {r, 0, R}]

This may take a little longer to compute than expected because M tries to generate a result to cover all cases (it doesn't automatically know that R is a real number, for instance). You can make it run faster by including the Assumptions option, as with

Integrate[2 Pi v[r] r, {r, 0, R}, Assumptions -> R > 0]

which ensures that R is positive, and moreover a real number.

5 0

2 years ago

8) plsss helpp meeee!!

konstantin123 [22]

Answer:

$\sqrt[n]{x^a}=x^{a/n}$

Step-by-step explanation:

While the "law"

$\sqrt[n]{x^n}=x$

may seem more applicable, and may seem to be a special case of the law shown in the answer above, it is not true in general. For example, ...

$\sqrt{x^2}=|x|\ne x \quad\text{for x $$

6 0

3 years ago

What ordered pair is closest to a local minimum of the

grin007 [14]

Answer:

(2,1) aka D

Step-by-step explanation:

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2 years ago

Expand.<br>Your answer should be a polynomial in standard form.<br>(79 +3)(-9 – 3) =

enot [183]

Answer:

(79+3)(−9−3)

=82(−9−3)

=(82)(−12)

=−984

8 0

2 years ago