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3 years ago

There are 270 cows on a farm.

Mathematics

2 answers:

vladimir2022 [97]3 years ago

8 0

Answer:

140

Step-by-step explanation:

sergejj [24]3 years ago

3 0

Put the cows into groups of 30.
There are 9 groups so there must be 9 bulls.

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How many types of triangles are there?

Mariulka [41]

Answer:

there are 6 type of tryingle hope it helps

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3 years ago

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Please Help

patriot [66]

5 steps;
1) choose one of 6 colors
2) with or without conditioning
3) with or without automatic transmission
4) with or without power windows
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3 years ago

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The function f(x)=-(x+5)(x+1) is shown. What is the range of the function?

Vesna [10]

Answer:

(- ∞, 4 ]

Step-by-step explanation:

To determine the range we require the coordinates of the vertex

The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.

To obtain the zeros, equate f(x) to zero, that is

-(x + 5)(x + 1) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x + 1 = 0 ⇒ x = - 1

$x_{vertex}$ = $\frac{-5-1}{2}$ = $\frac{-6}{2}$ = - 3

Substitute x = - 3 into f(x) for corresponding value of y

f(- 3) = - (- 3 + 5)(- 3 + 1) = - (2)(- 2) = 4

Vertex = (- 3, 4)

Since a = - 1 then vertex is a maximum, hence

range is (- ∞, 4 ]

4 0

3 years ago

A Department of Transportation survey showed that 60% of U.S. residents over 65 years of age oppose use of cell phones in flight

Shalnov [3]

Answer:

a) $P(X=12)=(25C12)(0.6)^{12} (1-0.6)^{25-12}=0.0760$

b) $P(X>17) = P(X=18) +....+P(X=25)$

And we can use the following excel code: "=1-BINOM.DIST(17;25,0.6,TRUE)"

And we got:

$P(X>17) = P(X=18) +....+P(X=25)= 0.154$

c) $P(X$

And using the following excel code we got: "=BINOM.DIST(7,25,0.6,TRUE)"

And we got:

$P(X$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

Part a

$P(X=12)=(25C12)(0.6)^{12} (1-0.6)^{25-12}=0.0760$

Part b

For this case we want this probability:

$P(X>17) = P(X=18) +....+P(X=25)$

And we can use the following excel code: "=1-BINOM.DIST(17,25,0.6,TRUE)"

And we got:

$P(X>17) = P(X=18) +....+P(X=25)= 0.154$

Part c

For this case we want this probability:

$P(X$

And using the following excel code we got: "=BINOM.DIST(7,25,0.6,TRUE)"

And we got:

$P(X$

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%7Cx-%5Cfrac%7B1%7D%7B2%7D%7C%3D3%5Cfrac%7B2%7D%7B3%7D" id="TexFormula1" title="|x-\frac{1}{2}

Bogdan [553]

Answer:

x= 4 1/6, -3 1/6

Step-by-step explanation:

Hope this helps

8 0

3 years ago

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