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fiasKO [112]
3 years ago
15

8x + 6y = 10 5x - 3y = 2.2 Which statement about the system of equations is true?

Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0
The answer would be C. When you isolate X you get 4/5 turn that into a decimal you have 0.8. Then you isolate Y you get 3/5 Turn that into a decimal and you get 0.6. Therefore the solution has 1 answer.

Hope this helps
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The sides of a triangle have lengths 3, 25, and 27. What kind of triangle is it ?
Andrew [12]

Answer:

Step-by-step explanation:

it's obtuse the sides are to wide

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The line y=2/5x +7 is dilated by a scale factor of 4 centered at the point (5,9). What equation represents the image of the lone
Serjik [45]

Answer:

Step-by-step explanation:

I don’t understand

7 0
3 years ago
Which of the following ratios is equivalent to 24:36?
Ksju [112]

Answer:

D, 20:30

Step-by-step explanation:

At first glance, this does not seem like the correct ratio. But I'll spare you a long intro and get into it:

20:30: Divide both of them by 10

=2:3

2 x 12:3 x 12

24:36

Hope this helps!

4 0
3 years ago
The sum of two numbers is 64 and the difference is 6. What are the numbers?
Ne4ueva [31]

Answer:

29 and 35

Step-by-step explanation:

x+y=64

x-y=6

Solve by substitution.

x=6+y

6+y+y=64

6+2y=64

y=29

Then plug in 29 for y.

x+29=64 ......35

7 0
3 years ago
The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resista
baherus [9]

Answer:

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

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.

10% of all resistors having a resistance exceeding 10.634 ohms

This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.

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

1.28 = \frac{10.634 - \mu}{\sigma}

10.634 - \mu = 1.28\sigma

\mu = 10.634 - 1.28\sigma

5% having a resistance smaller than 9.7565 ohms.

This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.

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

-1.96 = \frac{9.7565 - \mu}{\sigma}

9.7565 - \mu = -1.96\sigma

\mu = 9.7565 + 1.96\sigma

We also have that:

\mu = 10.634 - 1.28\sigma

So

10.634 - 1.28\sigma = 9.7565 + 1.96\sigma

1.96\sigma + 1.28\sigma = 10.645 - 9.7565

3.24\sigma = 0.8885

\sigma = \frac{0.8885}{3.24}

\sigma = 0.2742

The mean is

\mu = 10.634 - 1.28\sigma = 10 - 1.28*0.2742 = 9.65

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

8 0
3 years ago
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