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3 years ago

What is the common factor of 49 and 50?

Mathematics

2 answers:

Zinaida [17]3 years ago

6 0

The factors of 49 are: 1, 7 and 49.
The factors of 50 are: 1, 2, 5, 10, 25 and 50.

The common factor is 1.

Reika [66]3 years ago

6 0

$49|7\\ 7 \ |7 \\ 1 \\ \\ 49=7^2 \\ \\ 50|2\\25|5\\5\ |5 \\1\\\\50=2*5^2 \\ \\ G.C.F(49;50)=2450$

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Radioactive isotopes are commonly used to estimate artifact ages. Let X be the time in years for a Carbon-14 atom to decay to Ni

Alexeev081 [22]

Answer:

a) 1 / years

b) P ( 5000 < X < 6000) = 0.06222

c) 8267 years

d) T_1/2 = 5730.25 years

Step-by-step explanation:

Given:

- The decay constant λ = 1 / 8267

- X is an exponential random Variable

Find:

a. What are the units of What are the units of λ?

b. What is the probability the decay time is between 5000 and 6000 years?

c. Compute SD(X).

d. Compute the median decay time. The result is called the half-life of Carbon-14?

Solution:

- The decay constant λ means the rate at which the C-14 atoms decays into N-14 atom. The rate is expressed in units of 1 / year.

- The random variable X follows an exponential distribution which has a probability mass function and cumulative density functions as follows:

P ( X = t ) = λ*e^(-λ*t)

P ( X = t ) = e^(-t/8267) / 8267

P ( X < t ) = 1 - e^(-λ*t) = 1 - e^(-t/8267)

- The probability of the decay time between years 5000 and 6000 years is:

P ( 5000 < X < 6000) = 1 - e^(-6000/8267) - 1 + e^(-5000/8267)

P ( 5000 < X < 6000) = 0.06222

- The standard deviation of the exponential distribution is given by:

SD(X) = 1 / λ = 8267 years

- The median decay time for an exponential distribution is given by:

T_1/2 = Ln(2) / λ = Ln(2)*8267

T_1/2 = 5730.25 years

3 0

3 years ago

Read 2 more answers

The mean percent of childhood asthma prevalence in 43 cities is 2.16%. A random sample of 31 of these cities is selected. What i

IceJOKER [234]

Probability that the mean childhood asthma prevalence for the sample is greater than 2.6% is 0.0357 or 3.57 %.

What is Probability ?

Probability is the measure of likelihood of an event.

For a Normal Distribution ,

the z-score formula is given by

$\rm Z = \dfrac{X - \mu }{\sigma}$

Here $\rm \mu\\$ is the mean and $\rm \sigma\\$ is the standard deviation .

It is the measure of the deviation of the data from its central tendency.

Each z-score has a probability value.

It is given in the question that

Mean of 2.16% = $\rm \mu\\$ = 2.16

Standard deviation of 1.36% means that $\rm \sigma\\$ = 1.36

For Sample of 31 the value of standard deviation is $\rm s = \dfrac{\sigma}{\sqrt{n}}$

s = 1.36/√31

s = 0.2442

Substituting the values

Z = (2.6 -2.16)/0.2442

Z =1.8

the p value from the graph of z and p , 0.9643

To determine value of probability more than X is 1 - 0.9643= 0.0357

the

Probability that the mean childhood asthma prevalence for the sample is greater than 2.6% is 0.0357.

To know more about Probability

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#SPJ1

6 0

2 years ago

Question 1 (1 point)

bearhunter [10]

It’s is b why u covering your camera lol

4 0

3 years ago

Perimeter: 30 in X 13 in 5 in

Julli [10]

Perimeter is adding up all the dues together
if it’s 30
13+5=18
30-18=12
x is 12

4 0

3 years ago

9-3*1/3*98= 6-*87/8+85647-552= 254+968*8

sp2606 [1]

Answer:

don't you have a calculator? just use that

6 0

2 years ago