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Marta_Voda [28]
3 years ago
11

Find the distance between the two points.

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0

Answer:

13

Step-by-step explanation:

(4,-5)(-1,7)

If you make a triangle and use the Pythagorean Theorem, the two legs have a distance of 5 and 12. 5^{2}+12{2}=25+144=169. The square root of 169 is 13.

You might be interested in
The lifetime of a certain type of TV tube has a normal distribution with a mean of 61 and a standard deviation of 6 months. What
Ad libitum [116K]

Answer:

P(57

P(-0.67

P(-0.67

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 lifetime for a TV of a population, and for this case we know the distribution for X is given by:

X \sim N(61,6)  

Where \mu=61 and \sigma=6

We are interested on this probability

P(57

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(57

And we can find this probability like this:

P(-0.67

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-0.67

6 0
3 years ago
Find the value of X.
Tju [1.3M]

Answer:

A number

Step-by-step explanation:

it cant be nothing

4 0
3 years ago
there are 112 males and 78 females working at a hospital. what percentage of hospitals workforce is females?
Juli2301 [7.4K]
<span>112+78=total workforce=190
so 78/190=.410526=41.0526%
</span>
6 0
3 years ago
I need help on this and I need to know how to do the steps for it
cestrela7 [59]
I got you, my answer is x<4

5 0
3 years ago
Alicia has been putting her money from work into her savings account. The equation f(x)=13x+100 can be used to represent the inc
labwork [276]

Answer:

f(18)=334

Step-by-step explanation:

  • f(x)=13x+100
  • f(18) = 13(18)+100
  • f(18)=234+100
  • f(18)=334
3 0
2 years ago
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