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3 years ago

HELP PLEASEEE ASAP ! THANK YOU :)

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

6 0

Answer:

f(x) = 2x³ - 6x² - 48x + 24

relative minimum: (4,-136)

relative maximum: (-2,80)

answer is the second option

monitta3 years ago

6 0

Hey there! :)

Answer:

2nd option: (4, -136) is a relative minimum, (-2, 80) is a relative maximum.

Step-by-step explanation:

To begin, we can graph this equation (pictured on bottom of answer)

Relative minimums/maximums are the minimums and maximums of turning points of the graph. Observing the graph, we can see that:

(-2, 80) is a relative maximum because this is the maximum value at a turning point.

(4, -136) is a relative minimum because this is the minimum value at a turning point.

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The length of human pregnancies from conception to birth follows a distribution with mean 266 days and standard deviation 15 day

Katena32 [7]

Answer:

a) 81.5%

b) 95%

c) 75%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 266 days

Standard Deviation, σ = 15 days

We are given that the distribution of length of human pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P(between 236 and 281 days)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{281-266}{15})\\\\= P(-2 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -2)\\= 0.838 - 0.023 = 0.815 = 81.5\%$

b) a) P(last between 236 and 296)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{296-266}{15})\\\\= P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.973 - 0.023 = 0.95 = 95\%$

c) If the data is not normally distributed.

Then, according to Chebyshev's theorem, at least $1-\dfrac{1}{k^2}$ data lies within k standard deviation of mean.

For k = 2

$1-\dfrac{1}{(2)^2} = 75\%$

Atleast 75% of data lies within two standard deviation for a non normal data.

Thus, atleast 75% of pregnancies last between 236 and 296 days approximately.

7 0

3 years ago

Y-1=5/6(x-4) in standard form

scoray [572]

   y - 1 = ⁵/₆(x - 4)
   y - 1 = ⁵/₆(x) - ⁵/₆(4)
   y - 1 = ⁵/₆x - 3¹/₃
   + 1    + 1
             y = ⁵/₆x - 2¹/₃
      ⁻⁵/₆x + y = ⁵/₆x - ⁵/₆x - 2¹/₃
   -6(⁻⁵/₆x + y) = -6(-2¹/₃)
-6(⁻⁵/₆x) - 6(y) = 14
         5x - 6y = 14

8 0

3 years ago

Read 2 more answers

A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9

o-na [289]

Answer: $12.74 ft^2/s$