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murzikaleks [220]
4 years ago
8

How do you factorize this equation : x2 +9x+20

Mathematics
1 answer:
____ [38]4 years ago
8 0

Answer:(x+4)(x+5)

Step-by-step explanation:

X^2+9x+20

x^2+5x+4x+20

(x^2+5x)+(4x+20)

x(x+5)+4(x+5)

(x+4)(x+5)

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The answer to the problem is 12. 2 times 3 is 6. 18 divided by 6 is 3 and 3 times 4 is 12.
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Solve:<br>4c + 22 = 66<br>C = ​
Amanda [17]
Answer:

C= 11

Explanation:
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3 years ago
Harrison Water Sports has two retail outlets: Seattle and Portland. The Seattle store does 60 percent of the total sales in a ye
Anna11 [10]

Answer: P = 0.75

Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}

We have also the set of sales of boat accesories S_b, the colored one in the image.

We are given the data:

P(S_s) = 0.6\\P(S_b | S_s) = \frac{P(S_b\bigcap S_s)}{P(S_s)}=0.4\\P(S_b|S_p) =\frac{P(S_b\bigcap S_p)}{P(S_p)}=0.2

From these relations you can compute the probabilities of the intersections colored in the image:

pink\;set:\;P(S_b \bigcap S_s) =0.6*0.4=0.24\\blue\;set\;:P(S_b \bigcap S_p)=(1-0.6)*0.2 =0.08

You are asked about the conditional probability:

P(S_s|S_b) = \frac{P(S_s \bigcap S_b)}{P(S_b)}

To calculate this, you need  P(S_b) . In the image you can see that the set S_b is the union of the two disjoint pink and blue sets. Then:

P(S_b)=P((S_b \bigcap S_s)\bigcup(S_b \bigcap S_p)) = 0.24 + 0.08 = 0.32

Finally:

P(S_s|S_b) = \frac{0.24}{0.32}=0.75

4 0
4 years ago
How many 2-letter combinations can be created from the distinct letters in the word "mathematician"? Assume that the
Rzqust [24]

Answer:

Option A.

Step-by-step explanation:

The given word is "mathematician".

Here, total number of letter is 13 and  

Number of distinct letters = 8

We need to select 2 distinct letters from word "mathematician".

It means we need to select 2 letters from 8 distinct letters.

Total ways =^8C_2

=\dfrac{8!}{2!(8-2)!}

=\dfrac{8\times 7\times 6!}{2\times 6!}

=28

Therefore, the correct option is A.

4 0
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