PLEASE HELP I ADDED A PIC TOO!

Mathematics

1 answer:

Klio2033 [76]3 years ago

7 0

Answer:

C. $| v -21 | \leq 0.15$

Step-by-step explanation:

Because the volume is either 0.15 more or 0.15 less than 21 ounces. $| v - 21 |$ indicate the difference between the volume and 21 and it has to be less than 0.15. Therefore answer C.

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The following are questions from a self-quiz.According to some study, the height for Northern European adult males is normally d

lara [203]

Answer:

a) 0.064

b) 0.109

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 181 centimeter

Standard Deviation, σ = 7.3 centimeter

We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P(person is between 160 and 170 centimeters)

$P(160 \leq x \leq 170) = P(\displaystyle\frac{160 - 181}{7.3} \leq z \leq \displaystyle\frac{170-181}{7.3}) = P(-2.8767 \leq z \leq -1.506)\\\\= P(z \leq -1.506) - P(z < -2.8767)\\= 0.066 -0.002 = 0.064 = 6.4\%$