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oksian1 [2.3K]
3 years ago
9

At a book fair, a tote bag costs $5 and any book b costs $3.50 each. Maria got a tote bag and some books, spending a total of $1

9.
Write an equation for this situation, and solve for the number of books b that she bought.
O $5 + $3.50b = $19, b = 4 books
O 5b + $3.50 = $19, b = 3.1 books
O $5 + $3.50b = $19, b = $4
O $3.50b - $5 = $19, b = $6.86
Mathematics
1 answer:
lyudmila [28]3 years ago
5 0
It’s $5 + $3.50b = $19, b= 4 books
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The number of years a radio functions is exponentially distributed with parameter λ = 1 8 . If Jones buys a used radio, what is
blsea [12.9K]

Answer:

P(X>8)=e^{-1}

Step-by-step explanation:

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

P(X=x)=\lambda e^{-\lambda x}, x>0

And 0 for other case. Let X the random variable that represent "The number of years a radio functions" and we know that the distribution is given by:

X \sim Exp(\lambda=\frac{1}{8})

We can assume that the random variable t represent the number of years that the radio is already here. So the interest is find this probability:

P(X>8|X>t)

We have an important property on the exponential distribution called "Memoryless" property and says this:

P(X>a+t| X>t)=P(X>a)

Where a represent a shift and t the time of interest.

On this case then P(X>8|X>t)=P(X>8+t|X>t)=P(X>8)

We can use the definition of the density function and find this probability:

P(X>8)=\int_{8}^{\infty} \frac{1}{8}e^{-\frac{1}{8}x}dx

=\frac{1}{8} \int_{8}^{\infty} e^{-\frac{1}{8}x}dx

=[lim_{x\to\infty} (-e^{-\frac{1}{8}x})+e^{-1}]=0+e^{-1}=e^{-1}

8 0
3 years ago
For what value of the variable will<br> b<br> the value of 3−5c be 1 less than the value of 1−c?
Crank

Answer:

c = 3/4

Step-by-step explanation:

Lets set up an equation.

You can get

3-5c + 1 = 1-c to show that it is one less.

now we can solve it.

So by combining like terms, we get:

4-5c = 1-c

that then becomes:

3-5c = -c

--> 3 = 4c

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7 0
3 years ago
Please help with this AP Calculus question !
melomori [17]

Answer:

C.  \displaystyle \frac{cos(x)}{x} - ln(x)sin(x)

General Formulas and Concepts:

<u>Calculus</u>

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Derivative Rule [Product Rule]:                                                                             \displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)

Trig Derivatives

Logarithmic Derivatives

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = ln(x)cos(x)

<u>Step 2: Differentiate</u>

  1. Derivative Rule [Product Rule]:                                                                     \displaystyle f'(x) = \frac{d}{dx}[ln(x)]cos(x) + ln(x)\frac{d}{dx}[cos(x)]
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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Book: College Calculus 10e

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mr_godi [17]

Answer:

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11(5) - 11(4) I really need helpon this
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Hello There!

The answer is....

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