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alexandr402 [8]
4 years ago
9

If n is at least 6, which inequality best represents the values of n? (1 point) n ≥ 6 n > 6 n < 6 n ≤ 6

Mathematics
1 answer:
spin [16.1K]4 years ago
3 0

At least means that the number could either equal 6 or be greater than 6.

The inequality would be: n ≥ 6

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The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If th
zlopas [31]

Answer:

P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)  

And we can find this probability with the complement rule:  

P(Z>-1)=1-P(Z  

Step-by-step explanation:

Previous concepts  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem  

Let X the random variable that represent the average homicide rate for the cities of a population, and for this case we know the distribution for X is given by:  

X \sim N(10,2)  

Where \mu=10 and \sigma=2  

We are interested on this probability  

P(X>8)  

And the best way to solve this problem is using the normal standard distribution and the z score given by:  

z=\frac{x-\mu}{\sigma}  

If we apply this formula to our probability we got this:  

P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)  

And we can find this probability with the complement rule:  

P(Z>-1)=1-P(Z  

5 0
3 years ago
Write the Prime factors that 24 and 36 have in common By showing them multiplied together
lakkis [162]

The prime factors that the numbers 24 and 36 have in common are found out to be; 2 × 2 × 3

<h3>How to get prime factors? </h3>

A prime factor of a number is simply factor of that number that is a prime number. This means that any of the prime numbers that can be multiplied to give the original number.

Now, we have;

Prime factors of 36; 2 × 2 × 3 × 3

Prime factors of 24; 2 × 2 × 2 × 3

The prime factors that they have in common will be; 2 × 2 × 3

Read more about Prime factors at; brainly.com/question/1081523

#SPJ1

5 0
3 years ago
The legs of a right triangle are 18 centimeters and 80 centimeters long. What is the length of the hypotenuse
Brilliant_brown [7]
a^2 + b^2 = c^2\\\\18^2 + 80^2 = c^2\\\\6724 = c^2\\\\c = \sqrt{6724}\\\\ c = 82

The hypotenuse is 82 centimeters long.
4 0
3 years ago
Read 2 more answers
X + 3 &lt; 15<br> what is 4
professor190 [17]

Answer:

X = > 12 because 15 - 3 = 12 and if X was more than 12 it would be wrong.

Step-by-step explanation:

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3 years ago
Which is faster a car driving at a rate of 40 kph or a car at driving at a rate of 15 metres a second
LuckyWell [14K]
40 kph is equal to abt 11 mps so that means 40kph is faster
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3 years ago
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