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Colt1911 [192]
3 years ago
5

Which statement describes the first step to solve the equation by completing the square?

Mathematics
2 answers:
neonofarm [45]3 years ago
7 0
The first step I would take is
.. Multiply both sides of the equation by 1/4.

_____
You could start by adding 16 to both sides of the equation, to make the left side the square (2x +4)^2.
Viefleur [7K]3 years ago
3 0

Answer:


Step-by-step explanation:


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A group of students are randomly placed in either a traditional AP Stat class or an online-only AP Stat class. Both classes take
BaLLatris [955]

Answer:

Mean or Expected Value:

μ

=

∑

x

i

n

X

x

P

(

x

)

Standard Deviation:

σ

=

√

∑

x

i

n

X

(

x

−

μ

)

2

P

(

x

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Step-by-step explanation:

8 0
3 years ago
A sample of size 126 will be drawn from a population with mean 26 and standard deviation 3. Use the TI-84 calculator.
GenaCL600 [577]

Answer:

1. The probability that x will be more than 25 is 0.6305.

2. The 55th percentile is 26.38.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean 26 and standard deviation 3.

This means that \mu = 26, \sigma = 3

1 Find the probability that x will be more than 25.

This is 1 subtracted by the p-value of Z when X = 25. So

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

Z = \frac{25 - 26}{3}

Z = -0.333

Z = -0.333 has a p-value of 0.3695.

1 - 0.3695 = 0.6305.

The probability that x will be more than 25 is 0.6305.

2 Find the 55th percentile of x.

This is X when Z has a p-value of 0.55, so X when Z = 0.125.

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

0.125 = \frac{X - 26}{3}

X - 26 = 0.125*3

Z = 26.38

The 55th percentile is 26.38.

7 0
3 years ago
Find the lateral area for the prism. L.A. =<br> Find the total area for the prism. T.A. =
Ksivusya [100]
The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2

The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2

6 0
3 years ago
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Conjectures and Postulates are accepted as true without formally proving they are true.
zlopas [31]
The answer is false, it is only true for postulates, not conjectures.
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3 years ago
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You joined an online coupon club. You earned 100 bonus points just by signing up. Each month you use the site, you earn another
oksano4ka [1.4K]

Answer:

C. Total Points = 10 • Months + 100

4 0
3 years ago
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