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3 years ago

A line passes through (3, –2) and (6, 2).

1 answer:

3 0

A. Slope of the line = (-2 - 2) / (3 - 6) = -4 / -3 = 4/3

the equation required is y - 2 = 4/3(x - 6)

b. convert this to standard form:-

y - 2 = 4/3(x - 6) Multiply through by 3:-
3y - 6 = 4(x - 6)
3y - 6 = 4x - 24

4x - 3y = 18 is the answer

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A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer

OLEGan [10]

Answer:

The probability is $P( p < 0.9207) = 0.0012556$

Step-by-step explanation:

From the question we are told

The population proportion is $p = 0.96$

The sample size is $n = 227$

The number of graduate who had job is k = 209

Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is

$\mu_x = p = 0.96$

Generally the standard deviation of this sampling distribution is

$\sigma = \sqrt{\frac{p (1 - p )}{n} }$

=> $\sigma = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }$

=> $\sigma = 0.0130$

Generally the sample proportion is mathematically represented as

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{209}{227}$

=> $\^ p = 0.9207$

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

$P( p < 0.9207) = P( \frac{\^ p - p }{\sigma } < \frac{0.9207 - 0.96}{0.0130 } )$

$\frac{\^ p - p}{\sigma } = Z (The \ standardized \ value\ of \ \^ p )$

$P( p < 0.9207) = P(Z< -3.022 )$

From the z table the area under the normal curve to the left corresponding to -3.022 is

$P(Z< -3.022 ) = 0.0012556$

=> $P( p < 0.9207) = 0.0012556$

6 0

3 years ago

Seven increased by the<br> product of two numbers

Kobotan [32]

Answer: x ≥ 5

Step-by-step explanation:

7 is increased by the product of a number and 3: 7 + 3x

Is at least 22: ≥ 22

Your equation is: 7 + 3x ≥ 22

subtract 7 from both sides

3x ≥ 15

divide both sides by 3

x ≥ 5

8 0

3 years ago

Which expression is equivalent to −19y+13 ?

Vikki [24]

The first thing you should do in this case is to write the expression correctly:
- (1/9) y + (1/3)
Now, we take out common factor (1/9) obtaining:
1/9 (-y + 3)
Let's check:
1/9 (-y + 3)
-1/9y + 3/9
-1/9y + 1/3
OK
Answer:
An expression equivalent is:
1/9 (-y + 3)

4 0

3 years ago

Read 2 more answers

Now suppose that you have 2 individual and identical oranges. give a generating function for selecting from the oranges.

sweet-ann [11.9K]

12 is the correct answer

6 0

3 years ago

In one year, a government collected about $6250 per person in taxes. If the population was 270,000,000, how much did the governm

Firlakuza [10]

Answer:

1,687,500,000,000

Step-by-step explanation:

1) 270,000,000 x 6250

5 0

3 years ago