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True [87]
2 years ago
6

How do you factorise 12x-3?

Mathematics
2 answers:
dybincka [34]2 years ago
6 0

Answer:

3(4x - 1)

Step-by-step explanation:

Given

12x - 3 ← factor out the common factor of 3 from both terms

= 3(4x - 1)

Lyrx [107]2 years ago
3 0

Answer: 3(4x-1)

Step-by-step explanation:

Find the HCF which is 3

Divide.

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Give a correct interpretation of a 99% confidence level of 0.102 < p < 0.236.
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We are 99% confident that the interval from 0.102 to 0.236 actually does contain the true value of the population proportion <span>p.</span>
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2 years ago
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3 years ago
The security system in a house has two units that set off an alarm when motion is detected. Neither one is entirely reliable, bu
Mariulka [41]

Answer:

Probability that detector B goes off is '0.615'

Step-by-step explanation:

Given that:

1) Probability that detector A goes off and detector B does not go off is 0.25.

2)Probability that detector A does not go off is 0.35.

3)Probability that detector A  goes off is (1-0.35)=0.65

Assuming that

Probability that detector B goes off is 'p' Hence the probability that detector B does not goes off  is (1-p)

Thus the probability that detector A goes off and detector B does not go off is  product of the individual probabilities

P(E)=0.65\times (1-p)\\\\0.65\times (1-p)=0.25\\\\0.65-0.65p=0.25\\\\0.65-0.25=0.65p\\\\\therefore p=\frac{0.40}{0.65}=0.615

Probability that detector B goes off is '0.615'

5 0
3 years ago
1. A teacher asked the students to create a formula for the sequence 5, 8, 11, 14, ...
SCORPION-xisa [38]

Good evening ,

Answer:

Is his formula correct and how do you know : <em>Yes</em>

Is it an explicit or recursive formula : <em>explicit </em>

Step-by-step explanation:

an = a1 + (n-1)r

a1 = 5

r = 8-5 = 3

Then an = 5 + 3(n-1).

:)

5 0
2 years ago
How can you determine whether a given number makes an equation true?​
EastWind [94]

Answer:

By plotting in the number in the equation (aka where all the x’s are variables are) and seeing if it works.

Step-by-step explanation:

For example, let’s use the problem:

3x + 4 = 16

if the given number is 4, we fill it in for x-

3 (4) + 4= 16

solve to see if true:

12 + 4 = 16

16 = 16

hence, the given number 4 makes the equation true!

hopes this helps, have a great day :)

3 0
2 years ago
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