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ryzh [129]
2 years ago
9

Find the area of 11 by 2

Mathematics
2 answers:
Airida [17]2 years ago
7 0
I belive te area is 22
Svetradugi [14.3K]2 years ago
5 0
I believe the area is 22

11cm x 2cm = 22
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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
Write your answer as a fraction or whole number.
RideAnS [48]

Answer:

3/6 which reduces to 1/3

Step-by-step explanation:

you have three chances of getting a braclet our of 6 total chances of prize

7 0
2 years ago
How do I create a model to prove answer what is 15% of 60? I know the answer is 9 but very confused on how to show model.
yan [13]
You could draw a pie graph, I'm assuming you know how to draw one but I'll tell you anyways. draw a circle with sixty slices, like pizza. shade in 15 percent, or nine sclices. that's my favorite way to model percentages.
6 0
3 years ago
Please help in math!! Solution needed
Marysya12 [62]
This is the same as any math problem you may have solved before.

First, start by isolating the x on one side. I will choose to keep the coefficient positive, so I will add x to both sides.

6>2x+2

Subtract 2

4>2x

Divide by 2

2>x

Or

x<2
5 0
2 years ago
Read 2 more answers
Can someone answer this for me? I don’t understand how to solve it!
ch4aika [34]

Answer:

X=67

Step-by-step explanation:

x-22+135=180 (180 because that line is a straight line that was intersected and a straight line has a degree of 180)

x-22+135=180

x+113=180 (combine like terms)

x=67 (combine like terms again)

4 0
3 years ago
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