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mash [69]
3 years ago
8

How do I solve this equation? I need a refresher on Algebra.

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0
These equations seem tricky, but aren't as hard as you think. Just solve it like you are regularly adding fractions.

Your common denominator is 9x + 9, so

1/(9x+9)  =  36/(9x + 9)   -    (5x + 5)/9

1 - 36 + 5x + 5 / 9x - 9
30x - 30/9x - 9
10x-10/3x - 3
10(x-1)/3(x-1)
10/3

Hope this helped!
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a set of average city temperatures in december are normally distributed with a mean of 16.3°C and a standard deviation of 2°C. w
koban [17]

Answer:

19.74% of temperatures are between 12.9°C and 14.9°C

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 16.3, \sigma = 2

What proportion of temperatures are between 12.9°C and 14.9°C?

This is the pvalue of Z when X = 14.9 subtracted by the pvalue of Z when X = 12.9.

X = 14.9

Z = \frac{X - \mu}{\sigma}

Z = \frac{14.9 - 16.3}{2}

Z = -0.7

Z = -0.7 has a pvalue of 0.2420

X = 12.9

Z = \frac{X - \mu}{\sigma}

Z = \frac{12.9 - 16.3}{2}

Z = -1.7

Z = -1.7 has a pvalue of 0.0446

0.2420 - 0.0446 = 0.1974

19.74% of temperatures are between 12.9°C and 14.9°C

3 0
3 years ago
Question 7 of 33
astraxan [27]

Answer:

90°.

Step-by-step explanation:

When two straight lines intersects obliquely then there will be two angle of intersection, one angle is acute and the other one is obtuse.

But, here the two straight lines AB and xy intersects perpendicularly and AB bisects xy.

Therefore, the two angle of intersection are 90° each.

Hence, the angle of intersection in our case will be equal to 90°. (Answer)

7 0
4 years ago
The equation of the graphed line is x+2y=5. What is the x-intercept of the graph?
Monica [59]

Answer:

5 is the answer. hhhjjh y fl jj g gshwhwjqjajajw

5 0
3 years ago
What does (x)(y) represent in math ​
Delicious77 [7]

Answer:

They represent a number that you don't know or need to work out.

Step-by-step explanation:

If you need further explanation, let me know!

5 0
3 years ago
Read 2 more answers
Write the quadratic equation in standard form for the following equations <br> (7,4);(-2,1);(1,9)
ladessa [460]

Answer:

y=-\frac{7}{18}x^2+\frac{41}{18}x+\frac{64}{9}

Step-by-step explanation:

We need to write a quadratic equation so we can use standard quadratic equation:

y=ax^2+bx+c

Plug the given points to get three equations.

for (7,4), we plug x=7 and y=4

4=a(7)^2+b(7)+c

4=49a+7b+c ...(i)

similarly using other two points, we get:

1=4a-2b+c ...(ii)

9=a+b+c ...(iii)

Now we solve those three equations by any method like substitution, or matrices or by any method and get:

a=-\frac{7}{18},\ b=\frac{41}{18},\ c=\frac{64}{9}

Now plug these values into y=ax^2+bx+c, we get final equation as:

y=-\frac{7}{18}x^2+\frac{41}{18}x+\frac{64}{9}

7 0
4 years ago
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