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3 years ago

What is the range of f(x) = x2 - 6x +6, when f () is defined on the domain Osx54?

Mathematics

1 answer:

aleksandrvk [35]3 years ago

4 0

9514 1404 393

Answer:

-3 ≤ f(x) ≤ 6

Step-by-step explanation:

The minimum value of the function on that range is -3; the maximum value is 6.

The range of f(x) on the given domain is [-3, 6].

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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

Select all situations that can be modeled with a linear function. A taxi charges an initial fee of $2.00 and $1.50 for each addi

stiks02 [169]

The taxi, the airplane, and the pizza can be shown as linear functions

3 0

3 years ago

Write the expression as a cube of monomial:<br><br><br> 27x^12

Gnoma [55]

Step-by-step explanation:

ax=axn to rewrite

3√27x12 as (27x12)1/3

to rewrite

3√(3x^4)3

Pull terms out from under the radical, assuming real numbers.

3X^4

3 0

3 years ago

Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept.

HACTEHA [7]

Answer:

y=-7x+47

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=-7(x-8)

y+9=-7(x-8)

y=-7x+56-9

y=-7x+47

Please mark me as Brainliest if you're satisfied with the answer.

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3 years ago

Ricardo's Appliance is having a 35% off sale on

Salsk061 [2.6K]

the answerrrrrrr is

356.85

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3 years ago