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Digiron [165]
3 years ago
5

Solve −2x2 − 16x − 44 = 0.

Mathematics
2 answers:
Mashutka [201]3 years ago
5 0

<u>Answer</u>

x = -4 plus or minus "i" times the square root of 6


<u>Explanation</u>

 −2x² − 16x − 44 = 0.

 −2x² − 16x = 44

Dividing by -2

x² + 8x = -22

x² + 8x + 4² = -22 + 4²

(x + 4)² = -22 + 16

(x + 4) ² = -6

(x + 4) = √-6

Remember √(-1) = i

(x + 4) = i√6                    or  (x + 4) = -i√6

x = -4 + i√6                          x = -4 - i√6                      



Mazyrski [523]3 years ago
3 0
I hope this helps you

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The standard normal curve shown below models the population distribution of a random variable. What proportion of the values in
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0.3175

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A study addressed the issue of whether pregnant women can correctly predict the gender of their baby. Among 104 pregnant​ women,
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Answer:

Hence the study seem to be inconclusive since the probability of getting those result by chance are somewhat very high.

Step-by-step explanation:

The result seem to be inconclusive since the probability of getting those result by chance are somewhat very high.

Since the probability of getting such sample result by chance are very high, we cannot assume that the women have the ability to predict the gender of their babies.

Hence the study seem to be inconclusive since the probability of getting those result by chance are somewhat very high

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2 years ago
Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon
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The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}

First we find mean of the given data ,

\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44

Now,

{\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2

=1+1+1+1=4

Now,  standard deviation of the above results will be :-

\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82

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8 0
3 years ago
An item is regularly priced at $85. Tom bought it at a discount of 15% off the regular price
skelet666 [1.2K]

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4 0
2 years ago
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A bag contains yellow marbles and blue marbles, 73 in total. The number of yellow marbles is 7 more than 5 times the number of b
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Answer:

number of yellow marbles=62.

Step-by-step explanation:

It is given that in a bag there are yellow marbles and blue marbles and the total number of marbles=73.

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8 0
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