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Semmy [17]
3 years ago
11

Please help for D, E and F

Mathematics
1 answer:
Phantasy [73]3 years ago
6 0
D) 24/65 because it represents the number of players with 1-5 years of experience out of the overall total interviewed.

E) 3/11 because out of the eleven rookies, only three of them were under 200 lbs.

F) out of the 8 that reported to be under 200 pounds, only 3 were rookies, so the probability is 3/8
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Resultado de x/12 = 9/x+2
fomenos
<span><span>x=<span><span>27.874508 or </span>x</span></span>=<span>−<span>3.874508</span></span></span>
7 0
3 years ago
. Write each number in terms of natural logarithms, and then use the properties of logarithms to show that it is a
siniylev [52]

Answer:

The answer is 3/4

Step-by-step explanation:

Hi, we need to change the base of the logarithm, for that we need to use the following formula.

Log_{b} (a)=\frac{Ln(a)}{Ln(b)}

In our case, this is:

Log_{9} (\sqrt{27} )=\frac{Ln(\sqrt{27} )}{Ln(9)}

Which is the same as:

\frac{Ln(27)^{\frac{1}{2} }}{Ln(9)}

Now, let´s solve this using the log properties

\frac{1}{2} (\frac{Ln(27)}{Ln(9)} )

\frac{1}{2} (\frac{Ln(9*3)}{Ln(9)} )

\frac{1}{2} (\frac{Ln(9)+Ln(3)}{Ln(9)} )

\frac{1}{2} (\frac{Ln(9)}{Ln(9)}+\frac{Ln(3)}{Ln(9)}  )\\

We can change 3 for 9^(1/2)

\frac{1}{2} (\frac{Ln(9)}{Ln(9)}+\frac{Ln(9^{\frac{1}{2} } )}{Ln(9)}  )\\

\frac{1}{2} (\frac{Ln(9)}{Ln(9)}+\frac{Ln(9 )}{2*Ln(9)}  )\\

Since Ln(9) / Ln(9) =1, we get.

\frac{1}{2} (1+\frac{1}{2} )

\frac{1}{2} (\frac{3}{2} )=\frac{3}{4}

Best of luck.

4 0
3 years ago
Evaluate 12 sigma n=1 2n+5
True [87]
Problem 1: Evaluate<span> the summation of 3 times negative 2 to the n minus 1 power, ... The one I just posted looks like this: \sum_{</span>n=1}^{12<span>} </span>2n+5<span>.</span>
5 0
3 years ago
Read 2 more answers
In triangle ABC, a=31 , b=22 , c=18. Identify m∠A rounded to the nearest degree.
Veronika [31]

Answer:

101

Step-by-step explanation:

According to the Law of Cosines, for any △ABC with side lengths a, b, and c, a2=b2+c2−2bccosA; b2=a2+c2−2accosB; and c2=a2+b2−2abcosC

.

The Law of Cosines can be used because all three side lentghs are known.

Set up the equation for the Law of Cosines:

a2=b2+c2−2bccosA

Substitute the known values into the Law of Cosines:

312=222+182−2(22)(18)cosA

Square the values and multiply:

961=484+324−792cosA

Add:

961=808−792cosA

Subtract 808

from both sides:

153=−792cosA

Divide both sides by −792

:

153−792=cosA

According to this equation m∠A

is equal to the inverse cosine function of −153792

. Write this:

m∠A=cos−1(−153792)

Calculate the value of the inverse cosine −153792

on a calculator:

m∠A≈101°

Therefore, m∠A≈101°

.

8 0
3 years ago
3 Anthony has
iVinArrow [24]

Answer:

The answer would be letter J

5 0
3 years ago
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