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tamaranim1 [39]
3 years ago
10

Could someone help me please?

Mathematics
1 answer:
fenix001 [56]3 years ago
5 0

Answer:

a. 7.2

b. 6

Step-by-step explanation:

Since the side lengths of similar polygons are proportional to each other, therefore:

\frac{b}{10} = \frac{9}{15} = \frac{a}{12}

Thus, let's find b using:

\frac{b}{10} = \frac{9}{15}

Cross multiply

b*15 = 10*9

15b = 90

Divide both sides by 15

b = 6

Let's find a using:

\frac{9}{15} = \frac{a}{12}

Cross multiply

9*12 = 15*a

108 = 15a

Divide both sides by 15

a = 7.2

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Step-by-step explanation:

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Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2).
egoroff_w [7]
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slope is found by doing
(y1-y2)/(x1-x2)
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(x,y)
x1=6
y1=-1
x2=-3
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subsitute
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5 0
3 years ago
If the distribution is really N ( 5.43 , 0.54 ) , N(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05?
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Answer:

P(X

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

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

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We are interested on this probability

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

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

P(X

And we can find this probability on this way:

P(Z

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

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