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3 years ago

Is a/6-4 a algebraic expression

Mathematics

1 answer:

Alenkinab [10]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

Techinally, it would be a/2 and that would turn into .5a so that would be an algebraic expression.

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Density is calculated by dividing the mass by volume. A student measures the mass of an 8 cm3 object as 12.9g. What is the densi

andrew11 [14]

Answer: D

Density= mass/volume

12.9g/8cm3= 1.6 g/cm3

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3 years ago

−7y−4x=1 7y−2x=53 Solve the system of equations

Reptile [31]

-7y-4x=17y-2x=53
-4x=24y-2x=53
-2x=24y=53
24y+2x=53

You would have to solve one at a time.
y=53/24
y=2.21
x=53/2
x=26.5

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4 years ago

A wood stove burns 4 logs in 2 hours how many logs burn in 9 hours ?

ziro4ka [17]

Answer:

18 logs.

Step-by-step explanation:

Since a stove burns 4 logs per 2 hours, then the stove will burn 2 logs in one hour. There fore in 9 hours the stove will burn 2*9 which is 18 logs.

4:2= 2 logs per hour

2*9=18 logs per 9 hours.

8 0

4 years ago

Read 2 more answers

Clark wants to figure how many pens to order for the office. There are 48 workers, and he needs to order one pen for each worker

Nikitich [7]

If theres only two colors, red and blue and for every six people who prefer red, there are six people who prefer blue then divide 48 in half and he should order 24 red pens and 24 blue pens.

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4 years ago

Five individuals from an animal population thought to be near extinction in a certain region have been caught, tagged, and relea

Talja [164]

Answer:

a) For this case the random variable X follows a hypergometric distribution.

b) $E(X)= n\frac{M}{N}=10 \frac{5}{25}=2$

$Var(X)=n \frac{M}{N}\frac{N-M}{N}\frac{N-n}{N-1}=10\frac{5}{25}\frac{25-5}{25}\frac{25-10}{25-1}=1$

c) $P(X=0)= \frac{(5C0)(25-5 C 10-0)}{25C10}=\frac{1*184756}{3268760}=0.0565$

d) $P(X=5)= \frac{(5C5)(25-5 C 10-5)}{25C10}=\frac{1*15504}{3268760}=0.00474$

Step-by-step explanation:

The hypergometric distribution is a discrete probability distribution that its useful when we have more than two distinguishable groups in a sample and the probability mass function is given by:

$P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}$

Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes

The expected value and variance for this distribution are given by:

$E(X)= n\frac{M}{N}$

$Var(X)=n \frac{M}{N}\frac{N-M}{N}\frac{N-n}{N-1}$

a. What is the distribution of X?

For this case the random variable X follows a hypergometric distribution.

b. Compute the values for E(X) and Var(X)

For this case n=10, M=5, N=25, so then we can replace into the formulas like this:

$E(X)= n\frac{M}{N}=10 \frac{5}{25}=2$

$Var(X)=n \frac{M}{N}\frac{N-M}{N}\frac{N-n}{N-1}=10\frac{5}{25}\frac{25-5}{25}\frac{25-10}{25-1}=1$

c. What is the probability that none of the animals in the second sample are tagged?

So for this case we want this probability:

$P(X=0)= \frac{(5C0)(25-5 C 10-0)}{25C10}=\frac{1*184756}{3268760}=0.0565$

d. What is the probability that all of the animals in the second sample are tagged?

So for this case we want this probability:

$P(X=5)= \frac{(5C5)(25-5 C 10-5)}{25C10}=\frac{1*15504}{3268760}=0.00474$

4 0

3 years ago

Is a/6-4 a algebraic expression ​

Is a/6-4 a algebraic expression