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blondinia [14]
3 years ago
5

A tree farming company is testing how many items customers purchase during their visits. Based on many results, the (partial) pr

obability distribution below was determined for the discrete random variable X = number of pieces of information remembered (during a fixed time period). What is the missing probability P(X=6)? Note that the missing probability should be reported to the second decimal place.
Mathematics
1 answer:
kkurt [141]3 years ago
4 0

Answer:

X probability = 0.02

Cumulative frequency at x ( 6 ) = 1

Step-by-step explanation:

X       P ( X )            Cf ( X )

1        0.58                0.58

2        0.18                0.58 + 0.18 = 0.76

3        0.10                0.76 + 0.10 = 0.86

4        0.07                0.86 + 0.07 = 0.93

5        0.05                0.93 + 0.05 = 0.98

6        0.02                0.98 + 0.02 = 1

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Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.
Mice21 [21]

Answer:

<em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

Step-by-step explanation:

Making factors of 8y^{6}+ 144y^{5}+ 640y^{4}

Taking 8y^{4} common:

\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)

Using <em>factorization</em> method:

\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times  4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)

Now, Making factors of 2y^{4} + 40y^{3} + 200y^{2}

Taking 2y^{2} common:

\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)

Using <em>factorization</em> method:

\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10)        ............ (2)

The underlined parts show the Highest Common Factor(HCF).

i.e. <em>HCF</em> is 2y^{2} (y+ 10).

We know the relation between <em>LCM, HCF</em> of the two numbers <em>'p' , 'q'</em> and the <em>numbers</em> themselves as:

HCF \times LCM = p \times q

Using equations <em>(1)</em> and <em>(2)</em>: \Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)

Hence, <em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

5 0
3 years ago
Pls answer ASAP neeeddd
Anna007 [38]

Answer:

The answer is Tangent.

Step-by-step explanation:

Given that Tangent Rule is tanθ = opposite/adjacent. In this question, opposite is 11, adjacent is x and θ is 21°.

So using this formula, you are able to find the value of x.

7 0
3 years ago
Simplify.
MakcuM [25]

Answer:

you just need to simplify all the answers so 9 and 4 - 6 + 2 + 3 you need to keep like adding all the answers together and whatever one gets you to what it's telling you then that's the answer

Step-by-step explanation:

I'm sorry if this doesn't make sense but I hope it helps

8 0
2 years ago
Read 2 more answers
12 x -13 - 8 x -13<br> pls help
svet-max [94.6K]

12×-13-8×-13

the answer is 2132

8 0
3 years ago
Which of the following is closest to 149/1502?<br> a) 0.012<br> b) 0.77<br> c) 0.103<br> d) 0.151
irinina [24]
149/1502≈0.1, which is C. Hope it help!
3 0
4 years ago
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