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3 years ago

Three consecutive odd integers have a sum of 27. Find the integers

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

4 0

You cant have consecutive odd integers it alternates beween odd and even? Ie. 1(odd), 2 (even), 3 (odd).

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In an agricultural study, the average amount of corn yield is normally distributed with a mean of 185.2 bushels of corn per acre

RideAnS [48]

Answer: B. 461 acres

Step-by-step explanation:

Given : In an agricultural study, the average amount of corn yield is normally distributed with a mean of 185.2 bushels of corn per acre, with a standard deviation of 23.5 bushels of corn.

i.e. $\mu=185.2\ \ , \ \sigma=23.5$

Let x denotes the amount of corn yield.

Now, the probability that the amount of corn yield is more than 190 bushels of corn per acre.

$P(x>190)=P(\dfrac{x-\mu}{\sigma}>\dfrac{190-185.2}{23.5})$

[Formula : $z=\dfrac{x-\mu}{\sigma}$ ]

$=P(z>0.2043)=1-P(z$ [∵ P(Z>z)=1-P(Z<z)]

$1-0.5809405$ [using z-value calculator or table]

$=0.4190595$

Now, If a study included 1100 acres then the expected number to yield more than 190 bushels of corn per acre :-

$0.4190595\times1100=460.96545\approx461\text{ acres}$

hence, the correct answer is B. 461 acres .

8 0

3 years ago

The mean weight of 15 members of a company is 58kg. One more member whose weight is 74kg joins the company.Find the new mean wei

zloy xaker [14]

Answer:

59kg

Step-by-step explanation:

58kg * 15 members=870

870+74kg=944

944/16 total people =59kg

5 0

2 years ago

Which is a valid prediction about the continuous function f(x)?

Bumek [7]

Without seeing the graph, it's impossible to tell. The same can be said if we don't know the function rule. However, we can rule out three non-answers.

Choice B is false because the interval [1,3] has f(x) below zero but the rest of the interval to the right of x = 3 has f(x) not below zero.

Choice C is false. The value x = -1 leads to f(x) = 0 which is not greater than 0

Choice D is false because the values 8 and 4 are positive

After eliminating B, C, & D, we are left with choice A as the answer.

8 0

3 years ago

Read 2 more answers

Help! will appreciate

Lera25 [3.4K]

Sorry I've got on idea

4 0

3 years ago

One more time!

CaHeK987 [17]

Since q(x) is inside p(x), find the x-value that results in q(x) = 1/4

$\frac{1}{4} = 5 - x^2\ \Rightarrow\ x^2 = 5 - \frac{1}{4}\ \Rightarrow\ x^2 = \frac{19}{4}\ \Rightarrow \\
x = \frac{\sqrt{19} }{2}$

so we conclude that
$q(\frac{\sqrt{19} }{2} ) = 1/4$

therefore

$p(1/4) = p\left( q\left(\frac{ \sqrt{19} }{2} \right) \right)$

plug $x=\sqrt{19}/2$ into p( q(x) ) to get answer

$p(1/4) = p\left( q\left( \frac{ \sqrt{19} }{2} \right) \right)\ \Rightarrow\ \dfrac{4 - \left( \frac{\sqrt{19} }{2}\right)^2 }{ \left( \frac{\sqrt{19} }{2}\right)^3 } \Rightarrow \\ \\ \dfrac{4 - \frac{19}{4} }{ \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{8\left(4 - \frac{19}{4}\right) }{ 8 \cdot \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{32 - 38}{19\sqrt{19}} \Rightarrow \dfrac{-6}{19\sqrt{19}} \cdot \frac{\sqrt{19}}{\sqrt{19}}\Rightarrow$

$\dfrac{-6\sqrt{19} }{19 \cdot 19} \\ \\ \Rightarrow -\dfrac{6\sqrt{19} }{361}$

$p(1/4) = -\dfrac{6\sqrt{19} }{361}$

3 0

3 years ago