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Sati [7]
4 years ago
11

Factor completely. 9g^2 + 30g + 25 Write the answer in the form (ag+b)^2 .

Mathematics
1 answer:
Ierofanga [76]4 years ago
6 0
= (3g + 5)^2

It is a perfect square trinomial
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A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t
ehidna [41]

Answer:

The probability that more than a third of the buyers would prefer brown is 0.8491.

Step-by-step explanation:

This is binomial problem with n=15 and p=0.50.

The binomial formula of probaility is:

P(X=x)=\frac{n!}{x!(n-x)!} p^{x} (1-p)^{n-x}

More than a third of the buyers: 15÷3=5

We have to find P(x>5).

P(x>5) = 1 - P(x≤5) = 1 - P(x=0) - P(x=1) - P(x=2) - P(x=3) - P(x=4) - P(x=5)

P(x=0)=\frac{15!}{0!15!} (0.5)^{0} (1-0.5)^{15}=0.00003

P(x=1)=\frac{15!}{1!14!} (0.5)^{1} (1-0.5)^{14}=0.00046

P(x=2)=\frac{15!}{2!13!} (0.5)^{2} (1-0.5)^{13}=0.00320

P(x=3)=\frac{15!}{3!12!} (0.5)^{3} (1-0.5)^{12}=0.01389

P(x=4)=\frac{15!}{4!11!} (0.5)^{4} (1-0.5)^{11}=0.04165

P(x=5)=\frac{15!}{5!10!} (0.5)^{5} (1-0.5)^{10}=0.09164

P(x>5) = 1 - P(x≤5)= 1- 0.00003 - 0.00046 - 0.00320 - 0.01389 - 0.04165 - 0.09164 = 0.8491

4 0
3 years ago
a construction worker has rope 9 m long he needs to cut it in pieces that are each 3 /5 m long how many such pieces can he cut w
lapo4ka [179]

Dividing a whole number and an improper fraction seems tricky, but it just has one or two more steps than the normal process.  First, convert the whole number "9" into a fraction by giving it a denominator of "1".  It should look like 9/1.  Now that both numbers are converted into like formats (improper fractions), you should have 9/1 divided by 5/3.

Second, flip 5/3 over into 3/5 - this is the "reciprocal". Now you have 9/1 divided by 3/5.  It's just a matter of multiplying across the math sentence.  Multiply the numerators (9x3) and the denominators (1 x 5).  Your new fraction should be 27/5.  This is your answer in the improper fraction format.

You can create other formats depending on the expected answer.  For a mixed number, "divide your fraction UP" (27 divided by 5) which gives you 5 and 2/5.  This can be further converted into 5.4 if you need your answer in decimal form.


4 0
4 years ago
A) 2x – 7x +3y if x= 3, y= -4<br> b) y + 3xy if x= 7, y= 5<br> c) 5x3 + 2y2 if x= 2, y =3
MatroZZZ [7]
A) 2(3) - 7(3) + 3(-4)
=6 - 21 + (-12)
=-27
b) (5) + 3(7)(5)
=5 + 105
=110
c) is 3 and 2 an exponent? if so
5(2)^3 + 2(3)^2
=40 + 36
=76
8 0
3 years ago
Add 9/10 + 3/100 and select the correct answer. A)16/30 B)2/10 C)3/100 D)93/100
Sav [38]

it is D: 93/100 i hope this helpss!!!

7 0
3 years ago
Read 2 more answers
a factory produce 1188440 bulbs in one year (365 days) how many bulbs did it produce in the month of August​
vovangra [49]
  • BULBS PRODUCED PER YEAR=1188440

BULBS PRODUCED PER DAY:-

\\ \sf\longmapsto \dfrac{1188440}{365}

\\ \sf\longmapsto 3256

  • Total days in August=31

Total bulbs

\\ \sf\longmapsto 31(3256)

\\ \sf\longmapsto 100936

5 0
3 years ago
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