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3 years ago

NO LINKS!!!!

Mathematics

1 answer:

DedPeter [7]3 years ago

6 0

9514 1404 393

Answer:

3. vertical stretch by a factor of 2; shift right 1 and down 1

4. shift left 4 and up 4 (no stretch or shrink)

Step-by-step explanation:

The vertex form equation is ...

y = a(x -h)^2 +k

It represents a vertical stretch of the parent function by a factor of 'a', a right shift of 'h', and an upward shift of 'k'.

Compare the the given equations to the above form to see the transformations.

3. (a, h, k) = (2, 1, -1) ⇒ vertical stretch by a factor of 2; shift right 1, down 1

4. (a, h, k) = (1, -4, 4) ⇒ no vertical stretch; shift left 4, up 4

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Mice21 [21]

Answer:

Step-by-step explanation:

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2 years ago

Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate

yKpoI14uk [10]

Answer:

a) 0.5588

b) 0.9984

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 24

Standard Deviation, σ = 6.4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(score between 20 and 30)

$P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{6.4} \leq z \leq \displaystyle\frac{30-24}{6.4}) = P(-0.62 \leq z \leq 0.94)\\\\= P(z \leq 0.94) - P(z < -0.62)\\= 0.8264 - 0.2676 = 0.5588 = 55.88\%$

$P(20 \leq x \leq 30) = 55.88\%$

b) Sampling distribution

Sample size, n = 22

The sample will follow a normal distribution with mean 24 and standard deviation,

$s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{6.4}{\sqrt{22}} =1.36$

c) P(mean score of sample is between 20 and 30)

$P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{1.36} \leq z \leq \displaystyle\frac{30-24}{1.36}) = P(-2.94 \leq z \leq 4.41)\\\\= P(z \leq 4.41) - P(z < -2.94)\\= 1 - 0.0016 = 0.9984 = 99.84\%$

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3 years ago

If AD = 5x + 3, TD = x + 27, what is AD?

Eddi Din [679]

The question is incomplete, but if we assume that you mean AD = TD , we have :

AD = TD ===》 5x + 3 = x + 27

===》 4x = 24

===》 x = 6

_________________________________

AD = 5 × ( 6 ) + 3

AD = 30 + 3

AD = 33

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3 years ago

Solve y = x + 6 for x.<br> Ox = y + 6<br> Ox= -y + 6<br> O x = y - 6<br> Ox= -y-6

sveticcg [70]

Answer:

x = y - 6

Step-by-step explanation:

y = x + 6 (Given)

y - 6 = x (Subtracted 6 on both sides)

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3 years ago

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ANTONII [103]

Ok bare with me here.
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3 years ago