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2 years ago

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nicole will rent a car for the weekend. she can choose one of two plans the first plan has an initial fee of $53 and cost an add

itional $0.08 per mile driven. the second plan has an initial fee of $48 and costs an additional $0.10 per mile driven.

1 answer:

faltersainse [42]2 years ago

8 0

?

Step-by-step explanation:

what's the question??

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2 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is an a

olya-2409 [2.1K]

Answer:

<h2>The answer is 0.1493.</h2>

Step-by-step explanation:

In a standard deck there are 52 cards in total and there are 4 aces.

Two cards can be drawn from the 52 cards in $^{52}C_2 = \frac{52!}{50!\times2!} = 51\times26$ ways.

There are (52 - 4) = 48 cards rather than the aces.

From these 48 cards 2 cards can be drawn in $^{48}C_2 = \frac{48!}{46!\times2!} = 47\times24$ ways.

The probability of choosing 2 cards without aces is $\frac{47\times24}{51\times26} = \frac{188}{221}$ .

The probability of getting at least one of the cards will be an ace is $1 - \frac{188}{221} = \frac{33}{221} = 0.1493$ .

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3 years ago

Evaluate the line integral using the fundamental theorem of line integrals. use a computer algebra system to verify your results

mario62 [17]

$\dfrac{\partial f}{\partial x}=\cos x\sin y\implies f(x,y)=\sin x\sin y+g(y)$

$\dfrac{\partial f}{\partial y}=\sin x\cos y=\sin x\cos y+\dfrac{\mathrm dg}{\mathrm dy}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C$

$f(x,y)=\sin x\sin y+C$

$\displaystyle\int_{\mathcal C}\cos x\sin y\,\mathrm dx+\sin x\cos y\,\mathrm dy=\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(\frac{3\pi}2,\frac\pi2\right)-f(0,-\pi)=-1$

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3 years ago

Which function does not have a vertical asymptote

Gemiola [76]

Answer:

$y=\frac{5x}{1+2x^2}$

Step-by-step explanation:

$Option ~A ~ does ~ not ~ have ~a ~ vertical~ asymptote$

<u>--------------------------</u>

Hope it helps...

Have a great day!!

8 0

3 years ago

Ella earns 1.5 her normal hourly rate for overtime pay. Last week, Ella earned $72.00 in overtime pay for 4 hours. What is Ella'

mr_godi [17]

Answer:

Ella's normal hourly pay is $12 per hour.

Step-by-step explanation:

Let us assume that the Ella's Normal hourly pay = $x per hour

Over hourly pay = 1.5 times ( Normal pay)

= 1.5 ( x) = $ 1.5 x

⇒Ella earns $1.5x in 1 hour of overtime.

So the amount she earns in 4 hour of overtime = 4 times (per hour pay)

= 4 ( $1.5x) = $ 6 x

The amount Ella earned in 4 hours of over time = $72.00

According to the question:

$ 6 x = $72.00

or, x = 72/6

=12

or , x = $12

Hence, Ella's normal hourly pay is $12 per hour.

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3 years ago

In a triangle , the measures of the angles are x,x + 20 & 2x . What is the value of x ?

Alexus [3.1K]

X+x+20+2x=180
4x+20=180
4x=160
x=40

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3 years ago