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saveliy_v [14]
3 years ago
11

7.

Mathematics
2 answers:
natka813 [3]3 years ago
8 0
The correct answer is an enlargement of 2 
Wittaler [7]3 years ago
5 0

Answer:  The answer is (B) an enlargement with scale factor 2.

Step-by-step explanation:  The quadrilateral K'L'M'N' is the dilation image of the quadrilateral KLMN. We are to select the correct description of the dilation from given four options.

We can record from the given graph that in quadrilateral KLMN, the length of one side is

KN = 1.5 units,

and in quadrilateral K'L'M'N', the length of the corresponding side is

K'N' = 3 units.

Therefore, the scale factor will be

S=\dfrac{K'N'}{KN}=\dfrac{3}{1.5}=2>0.

So, there will be an enlargement with a scale factor 2.

Thus, (B) is the correct option.

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3/4

Step-by-step explanation:

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9 marbles are not blue

P(not blue) = marbles that are not blue / total marbles

                   = 9/12 = 3/4

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Determine the intercepts of the line.
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write the slope intercept equation for the line that passes through (-8,11) and is perpendicular t 2x -7y=14
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The pH of randomly selected swimming pools follows a normal distribution with mean 7.4 and standard deviation 0.22. A pool shoul
skad [1K]

Answer:

78.383%

Step-by-step explanation:

The pH of randomly selected swimming pools follows a normal distribution with mean 7.4 and standard deviation 0.22. A pool should have a pH between 7.2 and 7.8 so that chlorine treatment is effective.

Using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = 7.2

z = 7.2 - 7.4/0.22

z = -0.90909

Probability value from Z-Table:

P(x = 7.2) = 0.18165

For x = 7.8

z = 7.8 - 7.4/0.22

z = 1.81818

Probability alue from Z-Table:

P(x = 7.8) = 0.96548

The probability of pools having an acceptable pH level(7.2 and 7.8)

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Converting to percentage

0.78383 × 100

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The percentage of pools having an acceptable pH level is 78.383%

3 0
2 years ago
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