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valentinak56 [21]
3 years ago
13

The figure below shows two pair of congruent triangles.DFE​

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0

Answer:

c) YWX

Step-by-step explanation:

D corresponds with Y, W with F and X with E

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X + y = 8<br> 3x - y = 12
Virty [35]

Answer:

x = 5 and y = 3

Step-by-step explanation

y crosses out so you are left with

4x = 20 (divide by 4)

x = 5

plug x into either equation

5 + y = 8 (subtract 5)

y = 3

7 0
3 years ago
The length of the human pregnancy is not fixed. It is known that it varies according to a distribution which is roughly normal,
fgiga [73]

Answer:

a) Figure attached

b) P(234

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(234

And we can find this probability with this difference:

P(-2

An we know using the graph in part a that this area correspond to 0.95 or 95%

c) P(250

And we can find this probability with this difference:

P(-1

An we know using the graph in part a that this area correspond to 0.95 or 34+34+13.5+2.35%=83.85%

d) P(X

And using the z score we got:

P(X

And that correspond to approximately 0.15%

Step-by-step explanation:

Part a

For this case we can see the figure attached.

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".  

Part b

Let X the random variable that represent the length of human pregnancy of a population, and for this case we know that:

Where \mu=266 and \sigma=16

We are interested on this probability

P(234

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(234

And we can find this probability with this difference:

P(-2

An we know using the graph in part a that this area correspond to 0.95 or 95%

Part c

P(250

And we can find this probability with this difference:

P(-1

An we know using the graph in part a that this area correspond to 0.95 or 34+34+13.5+2.35%=83.85%

Part d

We want this probability:

P(X

And using the z score we got:

P(X

And that correspond to approximately 0.15%

5 0
3 years ago
Find a counterexample to disprove the conjecture.
Shtirlitz [24]
1 * -1 = -1 which is not smaller than -1
3 0
3 years ago
What will the last payment be to pay off a $1,250 computer plus 8% sales tax with monthly payments of $120? $10 $11 $12 $20 $30
d1i1m1o1n [39]
The last payment would be $30. This is computed by solving first the total amount of computer including 8% tax, so 1,250 times 8% is equal to 100, then 100 plus 1,250 is 1,350. Then 1,350 will be divided by 120, which is equal to 11.25. Getting the 0.25, from 11.25, multiply be 120 (0.25 times 120), is equal to $30.
7 0
3 years ago
Write the number in order to least to greatest 0.15, -4/5, -1.25, 1.03, 2 5/6 and 7/20
svetoff [14.1K]

-1.25,-4/5,7/20,1.03,2 5/6

6 0
3 years ago
Read 2 more answers
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