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Mice21 [21]
2 years ago
14

2x + y = -4 x + 4y = 12 Solve both for y

Mathematics
1 answer:
geniusboy [140]2 years ago
7 0

Answer: y=−6x

Step-by-step explanation: Add -2x to both sides.

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265-182=83
the answer is b.
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A house worth £80,000 in January 2012 is set to decrease in value by 7% per year.
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The answer would be 59,844 or around that number
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Find the value of x.
OLEGan [10]

Answer:

x=6.09cm

Step-by-step explanation:

Working out AB:

7.5²+4.9²

= √80.26

AB= 8.96cm

To work out x:

AB is the opposite, where BC is the adjacent. This means that we have to use TOA.

x=8.96/Tan(55.8)

x= 6.09cm

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Sales price is 67.50 sales tax is 5% how much is the total amount paid
Zinaida [17]
$70.88

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100x=337.5
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7 0
3 years ago
Assume that the empirical rule is a good model for the time it takes for all passengers to board an airplane. The mean time is 4
slamgirl [31]

Answer:

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be 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 problem, we have that:

\mu = 48, \sigma = 4.

Which interval describes how long it takes for passengers to board the middle 95% of the time?

This is between the 2.5th percentile and the 97.5th percentile.

So this interval is the value of X when Z has a a pvalue of 0.025 and the value of X when Z has a pvalue of 0.975

Lower Limit

Z has a pvalue of 0.025 when Z = -1.96. So

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

-1.96 = \frac{X - 48}{4}

X - 48 = -1.96*4

X = 40.16

Upper Limit

Z has a pvalue of 0.975 when Z = 1.96. So

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

1.96 = \frac{X - 48}{4}

X - 48 = 1.96*4

X = 55.84

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

7 0
3 years ago
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