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otez555 [7]
3 years ago
12

Write the equation of the function.

Mathematics
1 answer:
Hoochie [10]3 years ago
4 0

Answer:

f(x)=2sqrt( x + 3)

Step-by-step explanation:

We know it's a square root function because of the shape of the graph and it's moved to the left by 3 unit, so it has a d value of +3. We know it doesn't have a c value because it doesn't have a vertical translation as it's still at 0. For the a value, you can figure it out my substituting the graph points in and the values you know now then isolating and solving for the a value.

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An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2000 individ
Tema [17]

Answer:

a) P=0.558

b) P=0.021

Step-by-step explanation:

We can model this random variable as a Poisson distribution with parameter λ=1/500*2000=4.

The approximate distribution of the number who carry this gene in a sample of 2000 individuals is:

P(x=k)=\frac{\lambda^ke^{-\lambda}}{k!} =\frac{4^ke^{-4}}{k!}

a) We can calculate that the approximate probability that between 4 and 9 (inclusive) as:

P(4\leq x\leq 9)=\sum_{k=4}^9P(k)\\\\\\ P(4)=4^{4} \cdot e^{-4}/4!=256*0.0183/24=0.195\\\\P(5)=4^{5} \cdot e^{-4}/5!=1024*0.0183/120=0.156\\\\P(6)=4^{6} \cdot e^{-4}/6!=4096*0.0183/720=0.104\\\\P(7)=4^{7} \cdot e^{-4}/7!=16384*0.0183/5040=0.06\\\\P(8)=4^{8} \cdot e^{-4}/8!=65536*0.0183/40320=0.03\\\\P(9)=4^{9} \cdot e^{-4}/9!=262144*0.0183/362880=0.013\\\\\\

P(4\leq x\leq 9)=\sum_{k=4}^9P(k)=0.195+0.156+0.104+0.060+0.030+0.013=0.558

b) The approximate probability that at least 9 carry the gene is:

P(x\geq9)=1-P(x\leq 8)\\\\\\

P(0)=4^{0} \cdot e^{-4}/0!=1*0.0183/1=0.018\\\\P(1)=4^{1} \cdot e^{-4}/1!=4*0.0183/1=0.073\\\\P(2)=4^{2} \cdot e^{-4}/2!=16*0.0183/2=0.147\\\\P(3)=4^{3} \cdot e^{-4}/3!=64*0.0183/6=0.195\\\\P(4)=4^{4} \cdot e^{-4}/4!=256*0.0183/24=0.195\\\\P(5)=4^{5} \cdot e^{-4}/5!=1024*0.0183/120=0.156\\\\P(6)=4^{6} \cdot e^{-4}/6!=4096*0.0183/720=0.104\\\\P(7)=4^{7} \cdot e^{-4}/7!=16384*0.0183/5040=0.06\\\\P(8)=4^{8} \cdot e^{-4}/8!=65536*0.0183/40320=0.03\\\\

P(x\geq9)=1-P(x\leq 8)\\\\P(x\geq9)=1-(0.018+0.073+0.147+0.195+0.195+0.156+0.104+0.060+0.030)\\\\P(x\geq9)=1-0.979=0.021

8 0
3 years ago
The general form of an parabola is 3x2+24x−2y+52=0.
DIA [1.3K]

Answer: 12x - y = -29

***If you found my answer helpful, please give me the brainliest. :) ***

6 0
2 years ago
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Michael is 25 years younger than his father. The sum of their ages is 53. What is Michael’s age
ki77a [65]

Answer: 14

Step-by-step explanation:

⇒ Michael's age = x −25

⇒ x − 25 + x = 53

⇒ 2x = 53 + 25

⇒ 2x =78

⇒ x =39

Hence, Michael's age

<h2>= x − 25 = 39 − 25 = 14 </h2>

* Hopefully this helps:) Mark me the brainliest:)!!!

<em>~234483279c20~</em>

5 0
3 years ago
M is the midpoint of the segment. Find the length of XM.
Lelechka [254]

Answer:

x=2 and XM=11

Step-by-step explanation:

because M is the midpoint of the line, you know that both XM and ZM are equal and you know an expression for the lengths of both of these.

set these expressions equal and solve:

4x+3=3x+5 so by subtracting the 3x from the right side, moving it over to the left and subtracting 3 from the left side to move it over to the right, you get:

x=2

then to find XM, plug in this value of x to get XM=11

4(2)+3=11

4 0
2 years ago
What is 2+2+3+3+3+..............
soldi70 [24.7K]

Answer:

Well 2+2=4+3=7+3=10+3=13. 13 should be your final answer.

Step-by-step explanation:

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