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lions [1.4K]
3 years ago
3

b) Your sister says that the angles ∠DCA and ∠BCA are supplementary angles. Is she correct? Explain your reasoning. (1 point)

Mathematics
2 answers:
Alina [70]3 years ago
8 0

Answer:

She is incorrect.

Step-by-step explanation:

ABCD is a quadrilateral. Angle C measures less than 180 degrees. The sum of the measures of two supplementary angles equals 180 degrees. The sum of the measures of angles DCA and BCA equals the measure of angle C, but angle C measures less than 180 degrees, so the angles are not supplementary.

Lorico [155]3 years ago
8 0

Answer:

incorrect

Step-by-step explanation:

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The number of cigarettes smoked per day by adults forms a normal distribution. The average number of cigarettes smoked per day i
Mariana [72]

Answer:

17.3 cigarettes represent the 35th percentile

Step-by-step explanation:

Problems of normally distributed samples are 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 = 20, \sigma = 7

What number of cigarettes would represent the 35th percentile?

This is the value of X when Z has a pvalue of 0.35. So it is X when Z = -0.385.

So

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

-0.385 = \frac{X - 20}{7}

X - 20 = -0.385*7

X = 17.3

17.3 cigarettes represent the 35th percentile

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3 years ago
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Alika [10]

Answer: it's upside down so i can't see it

Step-by-step explanation:

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Solve this quadratic equation by completing the square <br><br>x^2+8x=10
velikii [3]
X^2+8x=10
X^2+8x-10=0
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Can anybody help me?
Kruka [31]

f(-2) = 2(-2)² - 8(-2) + 6 = 30

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f(0) = 2(0)² - 8(0) + 6 = 6

f(1) = 2(1)² - 8(1) + 6 = 0

f(2) = 2(2)² - 8(2) + 6 = -2

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2 years ago
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Vedmedyk [2.9K]
Distribute the number 2.

2*2x= 4x

-1*2= -2

4x-2 is the most you can simplify this.

I hope this helps!
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