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snow_tiger [21]
3 years ago
15

5. When y varies directly with x, the value of y = -2 when x = 4. What is the value of y when x = 8?

Mathematics
1 answer:
zmey [24]3 years ago
7 0

Answer:

-4

Step-by-step explanation:

if y = -2 then x = 4

what is y when x = 8

\frac{ - 2}{x}  =  \frac{4}{8}  \\  - 16 = 4x \\ x =  - 4

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Factor the trinomial below.<br> x2 + 14x + 48
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1. find two number that multiplied to 48 and adds to 14, which are 6 and 8.

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3. factor out the x and the 8 to get x(x+6)+8(x+6).

4. x = -6, x = -8

IF IT DOES NOT EQUAL 0
then (x+6)*(x+8) is your answer.
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3 years ago
A large concrete block is used for the cornerstone
marin [14]

Answer:

The volume of the concrete needed to make the block is 5054 ft³

Step-by-step explanation:

The question relate to the calculation of the volume of a shape

The dimensions of the block are;

The depth of the block, d = 19 ft.

The width of the block, w = 19 ft.

The length of the block, l = 14 ft.

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Therefore, the volume, 'V' of a cubic block is given as follows;

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3 0
3 years ago
The mean yearly rainfall in Sydney, Australia, is about 134 mm and the standard deviation is about 66 mm ("Annual maximums of,"
svetlana [45]

Answer:

At least 202.44 mm in the top 15%.

Step-by-step explanation:

When the distribution is normal, we use 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 = 134, \sigma = 66

How many yearly mm of rainfall would there be in the top 15%?

At least X mm.

X is the 100-15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.

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At least 202.44 mm in the top 15%.

5 0
3 years ago
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