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ArbitrLikvidat [17]
4 years ago
10

A deck of cards is shuffled and three cards are delt. find the chance the second card is spade and the third card is heart

Mathematics
1 answer:
Sedbober [7]4 years ago
7 0
I think i whould be a ace of spades

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HELP PLEASE <br> I DONT UNDERSTAND THIS AT ALL <br> slope =
Elanso [62]

Answer:

look at the picture i have sent

5 0
3 years ago
If f(x) = square root of x+3, what is the equation for f–1(x)? f–1(x) = x2 - 3 f–1(x) = x2 + 3 f–1(x) = (x - 3) 2 f–1(x) = (x +
cupoosta [38]

Answer:

\Large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }

Step-by-step explanation:

Hello,

\text{For }x+3\geq 0\\\\f(x)=\sqrt{x+3}\\\\x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{f^{-1}(x)+3}\\\\\text{*** take the square ***}\\\\f^{-1}(x)+3=x^2\\\\\text{*** subtract 3 from both sides ***}\\\\\large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }\\

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0
3 years ago
Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. if lucas been ab
coldgirl [10]

The total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

<h3>What is simple interest?</h3>

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

I=\dfrac{Prt}{100}

Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).

Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. The amount save in a year (12 months) is,

P=83.42\times12\\P=1001.04

The interest earned on this principal amount with earning 1.8% simple interest, after 3 years is,

I=\dfrac{1001.04\times1.83}{100}\\I=54.06

The total total amount in his bank account after 3 years is,

A=P+I\\A=1001.04+54.06\\A=1055.10

Hence, the total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

Learn more about the simple interest here;

brainly.com/question/2294792

7 0
2 years ago
Find the derivative of the function at P 0 in the direction of A. ​f(x,y,z) = 3 e^x cos(yz)​, P0 (0, 0, 0), A = - i + 2 j + 3k
Alik [6]

The derivative of f(x,y,z) at a point p_0=(x_0,y_0,z_0) in the direction of a vector \vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k is

\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}

We have

f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k

and

\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}

Then the derivative at p_0 in the direction of \vec a is

3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}

3 0
4 years ago
A die is thrown once. What is the probability that the outcome is a factor of 6? *
diamong [38]

Answer:

The answer would be 1/6.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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