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RideAnS [48]
3 years ago
11

2. Match each set of equations with the move that turned the first

Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0

Answer:

Step-by-step explanation:

1) In the first equation, - 4x was added to both sides of the equation. This is expressed as

6x - 4x + 9 = 4x - 4x - 3

2x + 9 = - 3

2) In the second equation, both sides of the equation was multiplied by - 1/4. This is expressed as

- 4 × - 1/4(5x - 7) = - 18 × - 1/4

5x - 7 = 4.5

3) In the third equation, - 4 was added to both sides of the equation. This is expressed as

8 - 10x = 7 + 5x

8 + (- 4) - 10x = 7 + (-4) + 5x

8 - 4 - 10x = 7 - 4 + 5x

4 - 10x = 5 + 5x

4) In the fourth equation, both sides of the equation was multiplied by - 4. This is expressed as

- 5x/4 × - 4 = 4 × - 4

5x = - 16

5) In the fourth equation, both sides of the equation was multiplied by 1/4x and 1/4. This is expressed as

12x × 1/4x + 4 × 1/4 = 20x × 1/4x + 24 × 1/4

3x + 1 = 5x + 6

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A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th percentile. Ro
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Answer:

16.35

Step-by-step explanation:

Using an inverse normal distribution, we can calculate the z score given the percentile, which can then be used to find our value.

First, we can use an inverse normal distribution calculator to figure out that the z score given the 75th percentile is 0.674.

Next, we know that the z score is (observed value - mean) / standard deviation. We can plug our values in to get

\frac{x-15}{2} = z\\\frac{x-15}{2} = 0.674\\x-15 = 0.674 * 2\\x = 0.674 * 2 + 15\\x=  16.348

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5 0
3 years ago
Find the missing side length
sasho [114]

Answer:

Missing side length = 54

Step-by-step explanation:

If both the triangles given in the picture are similar their corresponding sides will be proportional.

By applying this rule in the given similar triangles,

\frac{35}{30}=\frac{49}{42}=\frac{63}{6x-6}

\frac{7}{6}=\frac{7}{6}= \frac{63}{6x-6}

\frac{7}{6}= \frac{63}{6x-6}

\frac{1}{6}= \frac{9}{6x-6}

\frac{1}{6}= \frac{9}{6(x-1)}

1=\frac{9}{x-1}

x-1=9

x=10

Therefore, missing side length = 6x-6

= 6(x-1)

= 6(10-1)

= 6\times 9

= 54

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