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aleksklad [387]
3 years ago
13

Evelyn bought some books at the local bookstore. Her total bill was $31.50, which included 5% tax. How much did the books cost b

efore tax?
Mathematics
1 answer:
disa [49]3 years ago
5 0

The books cost $29.925 (or $29.93 rounded). Tax was $1.58

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A2. Find y' and y" for y^2 = x^2<br>+ sinxy
kumpel [21]

Answer:

y'   = (2x + y cosxy)/(2y + x cosxy)

Step-by-step explanation:

Using implicit differentiation:

y^2 = x^2 + sin xy

2y y' = 2x + cos xy  * (xy' + y)

2y y' = 2x + xy' cos xy + y cos xy

2y y' - xy' cosxy = 2x + ycos xy

y'   = (2x + y cosxy)/(2y - x cosxy)

4 0
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Find the slope of the line below using rise/run.<br>​
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While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between
aleksandr82 [10.1K]

Answer:

The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

Step-by-step explanation:

Let the random variable <em>X</em> denote the water depths.

As the variable water depths is continuous variable, the random variable <em>X</em> follows a continuous Uniform distribution with parameters <em>a</em> = 2.00 m and <em>b</em> = 7.00 m.

The probability density function of <em>X</em> is:

f_{X}(x)=\frac{1}{b-a};\ a

Compute the probability that a randomly selected depth is between 2.25 m and 5.00 m as follows:

P(2.25

                               =\frac{1}{5.00}\int\limits^{5.00}_{2.25} {1} \, dx\\\\=0.20\times [x]^{5.00}_{2.25} \\\\=0.20\times (5.00-2.25)\\\\=0.55

Thus, the probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

6 0
3 years ago
Do number 4 a please thank you
brilliants [131]
Answer for 4a. 25(n + 6)

Reason

The product (means to multiply)
Six more than a number (n + 6)
And 25 (other multiplier)

Expression is 25(n+ 6)
3 0
1 year ago
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