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3 years ago

Write y=2/3x+7 in standard form using intergers

Mathematics

1 answer:

USPshnik [31]3 years ago

6 0

Answer:

Step-by-step explanation:

y = 2/3 x + 7

3 * y = 3 * (2/3 x + 7)

3y = 2x + 21

2x - 3y = -21

-2x + 3y = 21

Answer: a.

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3 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)

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

$P(20 \leq x \leq 30) =99.84\%$

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4 years ago

Can someone help me with this?

Alex73 [517]

Answer:

A. 6 hours

B. No students studied for 6 hours

C. 4 students

(I’m just using a educated guess for B)

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3 years ago

The function c(x) = 18x -10 represents the cost in dollars. How many tickets can you buy?

Mekhanik [1.2K]

Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 530 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

c(x) = 18x -10

The slope-intercept form of the line equation

We know that the slope-intercept form of the line equation

$y = mx+b$

where m is the slope and b is the y-intercept

c(x) = 18x - 10

comparing with the slope-intercept form of the line equation

rate of change = 18

c(x) or y represents the cost
'x' represents the number of tickets

Assuming the total cost i.e. c(x) = $530

In order to determine the value of x, set c(x) = 530

i.e.

530 = 18x -10

switch sides

18x - 10 = 530

add 10 to both sides

18x - 10 + 10 = 530 + 10

18x = 540

Divide 18 to both sides

18x/18 = 540/18

x = 30

Therefore, if you can buy x = 30 tickets if you pay 530 dollars.

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3 years ago