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3 years ago

Determine the amplitude of the following graph.

Mathematics

1 answer:

kodGreya [7K]3 years ago

5 0

Answer:

amplitude = 3

Step-by-step explanation:

the amplitude is the vertical distance from center of the wave to the crest or the trough

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A circle has a radius of 6 cm. How can I find the diameter of the same circle?

Sedbober [7]

Multiply 6 by 2 and add 6cm. the radius is half of the diameter so just multiply by two and add the number.

6 0

3 years ago

The scores of individual students on the American College Testing (ACT) Program College Entrance Exam have a normal distribution

tekilochka [14]

Answer:

The probability that the average of the scores of all 400 students exceeds 19.0 is larger than the probability that a single student has a score exceeding 19.0

Step-by-step explanation:

Xi~N(18.6, 6.0), n=400, Yi~Ber(p); Z~N(0, 1);

$P(0\leq X\leq 19.0)=P(\frac{0-\mu}{\sigma} \leq \frac{X-\mu}{\sigma}\leq \frac{19-\mu}{\sigma}), Z= \frac{X-\mu}{\sigma}, \mu=18.6, \sigma=6.0$

$P(-3.1\leq Z\leq 0.0667)=\Phi(0.0667)-\Phi (-3.1)=\Phi(0.0667)-(1-\Phi (3.1))=0.52790+0.99903-1=0.52693$

P(Xi≥19.0)=0.473

$\{Yi=0, Xi< 19\\Yi=1, Xi\geq 19\}$

p=0.473

Yi~Ber(0.473)

$P(\frac{1}{n}\displaystyle\sum_{i=1}^{n}X_i\geq 19)=P(\displaystyle\sum_{i=1}^{400}X_i\geq 7600)$

Based on the Central Limit Theorem:

$\displaystyle\sum_{i=1}^{n}X_i\~{}N(n\mu, \sqrt{n}\sigma),\displaystyle\sum_{i=1}^{400}X_i\~{}N(7440, 372)$

Then:

$P(\displaystyle\sum_{i=1}^{400}X_i\geq 7600)=1-P(0$

$P(\displaystyle\sum_{i=1}^{n}Y_i=1)=P(\displaystyle\sum_{i=1}^{400}Y_i=1)$

Based on the Central Limit Theorem:

$\displaystyle\sum_{i=1}^{400}Y_i\~{}N(400\times 0.473, \sqrt{400}\times 0.499)=\displaystyle\sum_{i=1}^{400}Y_i\~{}N(189.2; 9.98)$

$P(\displaystyle\sum_{i=1}^{400}Y_i=1)\~{=}P(0.5$

Then:

the probability that the average of the scores of all 400 students exceeds 19.0 is larger than the probability that a single student has a score exceeding 19.0

7 0

3 years ago

How many tens are in the number 212

Veseljchak [2.6K]

How many tens are in 212?

Lets break it up.

200 has 20 tens

and 12 has 1 ten.

20 + 1 = 21

Answer: 21 tens.

5 0

3 years ago

Please HELPPPP ILL MAKE BRAINLIEST

lutik1710 [3]

Answer:

36 feet

Step-by-step explanation:

3ft is 1 yard so you would multiply the 12 yards by 3 making 36.

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3 years ago

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Zanzabum

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3 years ago

Determine the amplitude of the following graph.​

Determine the amplitude of the following graph.