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2 years ago

4log x-1/2log y+3log z

1 answer:

7 0

Following rules of logs, we can do the following:

log x^4 - log y^(1/2) + log z^3

Combine the first and 3rd factors to get log [x^4*z^3]

Seeing that the neg. sign signifies division, write this new term - log y^(1/2) as a quotient:

[x^4*z^3]
log ----------------
y^(1/2)

Next time, please include the instructions when you present your problem.
Thx.

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Complete the table of values for function A

GalinKa [24]

X=2 and y=26 that’s the correct answer I’m not 100% sure

6 0

2 years ago

Julie has a part time job after school she gets paid at a constant rate of dollars per hour.Julie works 12$ per month . Use this

Semenov [28]

Julie would earn $12/h×16h=$192

4 0

2 years ago

A candy dish contains 30 jelly beans and 20 gumdrops. Ten candies are picked at random. What is the probability that 5 of the 10

AveGali [126]

Answer:

The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215

Step-by-step explanation:

A hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws with each draw being a success or failure, without replacement from a finite population size that contains exactly the same objects. The general formula is given as:

$h(x) =\frac{({A}C_{x})({N-A}C_{n-x})}{^{N}C_{n} }$

where:

$^{n}C_{r}=\frac{n!}{(n-r)!r!}$

h(x) is the probability of x successes,

n is the number of attempts,

A is the number of successes

N is the number of elements

For this problem:

A = 30, x = 5, N = 50, n = 10

The probability of drawing 5 gumdrops in 10 picks from the dish P(x=5) is

$P(x=5)=\frac{({30}C_{5})({50-30}C_{10-5})}{^{50}C_{10} }\\P(x=5)=\frac{({30}C_{5})({20}C_{5})}{^{50}C_{10} }$

$P(x=5)=\frac{\frac{30!}{(30-5)!5!}*\frac{20!}{(20-5)!5!} }{\frac{50!}{(50-10)!10!} }\\P(x=5)=\frac{\frac{30!}{25!5!}*\frac{20!}{15!5!} }{\frac{50!}{40!10!} }$

$P(x=5)=\frac{142506*15504}{1.207*10^{10} }=0.215$

P(x=5) = 0.215

The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215

4 0

3 years ago

Find angle measures of 4, 5, and 6

Cloud [144]

Answer:

Step-by-step explanation:

ok so the sum mustbe 36

and as this is a parallelogram that means opposite angle are the same and so one of the is 125that means that the opposite is 125 too, the sum is 250

360-250=110 and as one of the side must sum up to the half of 110 which is 55 and substract (55-22=33)

4=33

so is 5 =33

6=22

3 0

1 year ago

Read 2 more answers

If BC = 61 and AB = 82, what is the length of AC?

Nitella [24]

Answer:

54.8

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2.

Plug the given values in to get 61^2+b^2=82^2

61^2 is 3,721 and 82^2 is 6,724.

6,724-3,721 is 3,003.

The square root of 3,003, rounded to a reasonable value, is 54.8.

The length of AC is 54.8.

4 0

2 years ago