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2 years ago

Please help asap Ty! :)))))))

Mathematics

1 answer:

Rom4ik [11]2 years ago

3 0

Answer:

2nd and 4th options

Step-by-step explanation:

4/5x - 1/5x + 3 = 3/5x + 3

1 + 3/5x + 2 = 3/5x + 3

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Which of the following ordered pairs represents an output of 5 and an input of -8?

m_a_m_a [10]

Answer:

(-8,5)

Step-by-step explanation:

The output corresponds to the y-value of an ordered pair while the input corresponds to the x-value of an order pair.

An ordered pair is written like this (x,y)

6 0

3 years ago

What adds up to 3 and multiplies to 10

vovangra [49]

1 i think? sry if im wrong

5 0

3 years ago

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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

Stephen borrows $10,000 from his uncle at a simple interest rate of 2%. He repays the loan in full after 3 years. How much money

ohaa [14]

The total amount of money that Stephen would pay his uncle is equal to $10,600.

<h3>How to calculate simple interest.</h3>

Mathematically, simple interest is calculated by using this formula:

I = PRT

<u>Where:</u>

I is the simple interest.

P is the principal.

R is the interest rate.

T is the time measured in years.

<u>Given the following data:</u>

Interest rate = 2% = 0.02.

Principal = $10,000.

Time = 3 years.

Substituting the given parameters into the formula, we have;

I = 10000 × 0.02 × 3

I = $600.

Amount of balance;

A = I + P

A = 600 + 10,000

A = $10,600.

Read more on simple interest here: brainly.com/question/24341207

7 0

2 years ago

Can someone help me please

I am Lyosha [343]

Answer:

i believe it is Translation

Step-by-step explanation:

it cant be and dilation because in shapes that just means changing size and it cant be a reflection because they would face different directions

7 0

3 years ago

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