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spayn [35]
3 years ago
5

Helppppppppppppppppp

Mathematics
1 answer:
Elan Coil [88]3 years ago
3 0

Answer:

B

Step-by-step explanation:

You can see B has the points kind of clustered around it.

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A contractor is required by a county planning department to submit one, two, three, four, or five forms (depending on the nature
Westkost [7]

Answer:

(a) The value of <em>k</em> is \frac{1}{15}.

(b) The probability that at most three forms are required is 0.40.

(c) The probability that between two and four forms (inclusive) are required is 0.60.

(d)  P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5 is not the pmf of <em>y</em>.

Step-by-step explanation:

The random variable <em>Y</em> is defined as the number of forms required of the next applicant.

The probability mass function is defined as:

P(y) = \left \{ {{ky};\ for \ y=1,2,...5 \atop {0};\ otherwise} \right

(a)

The sum of all probabilities of an event is 1.

Use this law to compute the value of <em>k</em>.

\sum P(y) = 1\\k+2k+3k+4k+5k=1\\15k=1\\k=\frac{1}{15}

Thus, the value of <em>k</em> is \frac{1}{15}.

(b)

Compute the value of P (Y ≤ 3) as follows:

P(Y\leq 3)=P(Y=1)+P(Y=2)+P(Y=3)\\=\frac{1}{15}+\frac{2}{15}+ \frac{3}{15}\\=\frac{1+2+3}{15}\\ =\frac{6}{15} \\=0.40

Thus, the probability that at most three forms are required is 0.40.

(c)

Compute the value of P (2 ≤ Y ≤ 4) as follows:

P(2\leq Y\leq 4)=P(Y=2)+P(Y=3)+P(Y=4)\\=\frac{2}{15}+\frac{3}{15}+\frac{4}{15}\\   =\frac{2+3+4}{15}\\ =\frac{9}{15} \\=0.60

Thus, the probability that between two and four forms (inclusive) are required is 0.60.

(d)

Now, for P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5 to be the pmf of Y it has to satisfy the conditions:

  1. P(y)=\frac{y^{2}}{50}>0;\ for\ all\ values\ of\ y \\
  2. \sum P(y)=1

<u>Check condition 1:</u>

y=1:\ P(y)=\frac{y^{2}}{50}=\frac{1}{50}=0.02>0\\y=2:\ P(y)=\frac{y^{2}}{50}=\frac{4}{50}=0.08>0 \\y=3:\ P(y)=\frac{y^{2}}{50}=\frac{9}{50}=0.18>0\\y=4:\ P(y)=\frac{y^{2}}{50}=\frac{16}{50}=0.32>0 \\y=5:\ P(y)=\frac{y^{2}}{50}=\frac{25}{50}=0.50>0

Condition 1 is fulfilled.

<u>Check condition 2:</u>

\sum P(y)=0.02+0.08+0.18+0.32+0.50=1.1>1

Condition 2 is not satisfied.

Thus, P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5 is not the pmf of <em>y</em>.

7 0
3 years ago
Please help me!!!!!!!!!!i need to finish by tonight!!
Viktor [21]
Number 3.
opens up
vertex (1,2)
idk maybe because it is on the right side. its positive

number 4.
opens up as well
Vertex (-2,0)
no because it is negative and on the left. Idk just a guess for this one
4 0
3 years ago
The population f(x), in millions, of State A of a country after x years is represented by the function shown below:
OverLord2011 [107]

Option 1 is correct. The correct solution about these functions is that The original population of State A was double of the original population of State B.

<h3>How to solve for the solution</h3>

The function in the question is given as

<u>For A:</u>

F(x) = 4*(1.08)^x

<u>For B</u>

g(x) = 2*(1.08)^x

The exponential growth equation that is used to solve this is

h(x) = A(r)^x

such that A is the initial and r is the rate of growth.

f(x) and g(x) are at the same rate but the exponential function is known to grow faster.

Hence the correct option is The original population of State A was double of the original population of State B.

<h3>Complete question:</h3>

Which conclusion is correct about the population of State A and State B? 1. The original population of State A was double of the original population of State B.

2. The original population of State A was half of the original population of State B.

3. The original population of State B was one-fourth of the original population of State A.

4. The original population of State A was one-fourth of the original population of State B.

Read more on this population here:

brainly.com/question/19045853

#SPJ1

8 0
2 years ago
I NEED HELP// Which of the following correctly represents the process for calculating net income?
Andru [333]

Answer:

I believe it should be A

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
F(x) = x^2 What is g(x)?
IrinaK [193]

Answer:

g(x)= (\dfrac{x}{3})^2.

Step-by-step explanation:

3 0
3 years ago
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