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4 years ago

Write the slope- intercept from of an equation for a line with y-intercept -5 and slope 2

Mathematics

1 answer:

aalyn [17]4 years ago

3 0

Answer: y = 2x -5

Step-by-step explanation:

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a DLT earns $14 an hour when she works days and $18 an hour when she works nights. One month shr works six 4 hour days, 3 eight

mina [271]

I think the answer is $1,092?

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4 years ago

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leonid [27]

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Step-by-step explanation:

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3 years ago

I need this answer as soon as possible

wel

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3 years ago

The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$

c) P(completing the exam in more than 90 minutes)

P(x > 90)

$P( x > 90) = P( z > \displaystyle\frac{90 -80}{10}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 90) = 1 - 0.8413 = 0.1587 = 15.87\%$

15.87% of children of class will require more than 90 minutes to complete the test.

Number of children =

$\dfrac{15.87}{100}\times 60 = 9.52\approx 10$

Approximately, 10 students of class will require more than 90 minutes to complete the test.

4 0

4 years ago

Simplify the expression to standard form -1/2(8x - 4) + (-5 + 3x)

Hitman42 [59]

Answer:

$- x - 3$

Step-by-step explanation:

1) regroup term.

$- \frac{1}{2} (8x - 4) + 3x - 5$

2) Simplify 1/2 ( 8x - 4 ) to 8x - 4/2.

$- \frac{8x - 4}{2} + 3x - 5$

3) Factor out the common term 4.

$- \frac{4(2x - 1)}{2} + 3x - 5$

4) Simplify 4( 2x - 1 ) / 2 to 2( 2x - 1).

$- 2(2x - 1) + 3x - 5$

5) Expand by distributing terms.

$- (4x - 2) + 3x - 5$

6) Remove parentheses.

$- 4x + 2 + 3x - 5$

6) Collect like terms.

$( - 4x + 3x) + (2 - 5)$

8) Simplify.

$- x - 3$

Therefor, the answer is -x - 3.

6 0

3 years ago