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Dmitrij [34]
3 years ago
6

A bowl of flower seeds contains 5 petunia seeds and 15 begonia seeds. Riley calculated the probability that a randomly selected

seed is a petunia seed as 1/3. Describe and correct Riley's error.
Mathematics
1 answer:
Aloiza [94]3 years ago
8 0
Since there are 20 seeds total (5+15-=20)/ 5/20 = 1/4 is the actual chance of getting a petunia seed
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How do I solve these problems? ln(x) = 5.6 + ln(7.5) and log(x) = 5.6 - log(7.5)
SOVA2 [1]

Use the rules of logarithms and the rules of exponents.

... ln(ab) = ln(a) + ln(b)

... e^ln(a) = a

... (a^b)·(a^c) = a^(b+c)

_____

1) Use the second rule and take the antilog.

... e^ln(x) = x = e^(5.6 + ln(7.5))

... x = (e^5.6)·(e^ln(7.5)) . . . . . . use the rule of exponents

... x = 7.5·e^5.6 . . . . . . . . . . . . use the second rule of logarithms

... x ≈ 2028.2 . . . . . . . . . . . . . use your calculator (could do this after the 1st step)

2) Similar to the previous problem, except base-10 logs are involved.

... x = 10^(5.6 -log(7.5)) . . . . . take the antilog. Could evaluate now.

... = (1/7.5)·10^5.6 . . . . . . . . . . of course, 10^(-log(7.5)) = 7.5^-1 = 1/7.5

... x ≈ 53,080.96

8 0
3 years ago
A. Sin40=6/x<br> B. Sin40= x/6<br> C. Cos40= x/6<br> D. Cos40=6/x
STatiana [176]
The answer is A. sin40=6/x
7 0
4 years ago
If r(X)=2-x^2 and w(X)=X-2, what is the range of (w*r)(X)
slega [8]
The given function are
r(x) = 2 - x²    and     w(x) = x - 2
<span>(w*r)(x) can be obtained by multiplying the both function together
</span>
So, <span>(w*r)(x) = w(x) * r(x) = (x-2)*(2-x²)</span>
<span>(w*r)(x) = x (2-x²) - 2(2-x²)</span>
            = 2x - x³ - 4 + 2x²

∴ <span>(w*r)(x) = -x³ + 2x² + 2x - 4
</span>

<span>It is a polynomial function with a domain equal to R
</span>
The range of <span>(w*r)(x) can be obtained by graphing the function
</span>
To graph (w*r)(x), we need to make a table between x and (w*r)(x)

See the attached figure which represents the table and the graph of <span>(w*r)(x)
</span>

As shown in the graph the range of <span>(w*r)(x) is (-∞,∞)
</span>

8 0
3 years ago
Read 2 more answers
State the postulate or theorem that allows you to conclude that a II b.<br><br> (This is geometry)
scZoUnD [109]
Converse Perpendicular Transversal Theorem.
If two lines are perpendicular to the same line, then the lines are parallel.
7 0
3 years ago
Micah invested $3450 in an account paying simple interest. At the end of 6 years, the value of
tatuchka [14]
Answer: 2.5%

3967.50 - 3450 = 517. 50

i = prt/100

i = 517.50, p = 3450, t = 6

517.50 = 3450 x r x 6/ 100

517.50 = 20700r/100

517.50 = 20700r

517.50/20700 = r

r = 0.025 = 2.5%
8 0
3 years ago
Read 2 more answers
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