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allsm [11]
3 years ago
13

Factor: 4x^2-12x+9=0

Mathematics
2 answers:
Andreas93 [3]3 years ago
6 0
Use formula a^2-2ab+b^2=(a-b)^2

4x^2-12x+9
\\(2x)^2-2(2x)(3)+3^2
\\(2x-3)^2
avanturin [10]3 years ago
5 0
Tricky Trinomial
4x^2-12x=9
(4x^2-6x)(-6x+9)
2x(2x-3)-3(2x-3)
= (2x-3)^2
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. A medical center o
viktelen [127]

Answer:

1) 0.1504

2) 0.432

Step-by-step explanation:

1) The given information are;

The proportion of the morning appointments that are with elderly patients = 60%

The number of patients in the appointments  = 10 patients

The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%

The binomial probability distribution is given as follows;

P(X = r) = \dbinom{n}{r}p^{r}\left (1-p  \right )^{n-r}

P(X = 0) = \dbinom{10}{0}0.6^{0}\left (1-0.6  \right )^{10} = 0.000105

P(X = 1) = \dbinom{10}{1}0.6^{1}\left (1-0.6  \right )^{9} = 0.0016

P(X = 2) = \dbinom{10}{2}0.6^{2}\left (1-0.6  \right )^{8}= 0.01062

P(X = 3) = \dbinom{10}{3}0.6^{3}\left (1-0.6  \right )^{7}= 0.0425

The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504

2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows

P(X = 2) = \dbinom{3}{2}0.6^{2}\left (1-0.6  \right )^{1}= 0.432

8 0
3 years ago
What is step two in the problem solving process
miskamm [114]
Hey there,
It would be devising a plan

Hope this helps :))

<em>~Top♥</em>
6 0
2 years ago
Write an equation in slope-intercept form for the line with slope 5 and y-intercept-3.
exis [7]

Answer: y = 5x-3

Step-by-step explanation: Using y = mx+b, where m is the slope, and b is the y intercept, you just plug in 5 and -3.

5 0
2 years ago
There are 16 girls and 20 boys what is the ratio of girls to boys
kvasek [131]
  The ratio is 4:5 girls to boys
3 0
3 years ago
The table shows the number of tennis balls that can fit into a given number of cans each can holds the same number of balls fill
Pepsi [2]

Step-by-step explanation:

i could have answer it if you have given the table too!

that's it ....

8 0
2 years ago
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