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Margarita [4]
3 years ago
11

Solve the equation -4x+12=-4 for x .

Mathematics
2 answers:
mihalych1998 [28]3 years ago
4 0
-4x +12 -12 = -4 -12
-4x = -16
x = 4
Daniel [21]3 years ago
3 0
Times both sides by -1
4x-12=4
add 12 to both sides
4x+12-12=4+12
4x+0=16
4x=16
divide both sides by 4
(4x)/4=16/4
(4/4)x=4
1x=4
x=4
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A random two digit number (10-99) is drawn. Find P(odd number)
Mars2501 [29]

Answer:

P(odd number) = 0.5

Step-by-step explanation:

There are 90 members in the set (10, 11, 12, .. , 97, 98, 99)

When we have an even number of consecutive numbers, the number of even numbers equals the number of odd numbers. This means that half of the numbers in this set are even and half of them are odd.

So the probability of P(odd number) = 0.5

8 0
3 years ago
Simplify:<br> 3^2 · 3^4<br> A) 3^6 <br> B) 3^8 <br> C) 3^2 <br> D) 9^6
bonufazy [111]
A. If you're adding numbers with exponents with the same base, keep the same base and add the values of the exponents together.

3^2 * 3^4 = 3^(2+4) = 3^6
8 0
3 years ago
2. P337. 23. A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and
Rashid [163]

Answer:

B is True

A, C. D are false

Step-by-step explanation:

Given :

Sample size, n = 120

Mean diameter, m = 10

Standard deviation, s = 0.24

Confidence level, Zcritical ; Z0.05/2 = Z0.025 = 1.96

The confidence interval represents how the true mean value compares to a set of values around the mean computed from a set of sample drawn from the population.

The population here is N = 10000

To obtain

Confidence interval (C. I) :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 1.96 * 0.24/sqrt(120)

Confidence interval for the 10,000 ball bearing :

10 ± 1.96 * (0.24) / sqrt(120)

Hence. The confidence interval defined as :

10 ± 1.96 * (0.24) / sqrt(120) is the 95% confidence interval for the mean diameter of the 10,000 bearings in the box.

4 0
2 years ago
AA3+2=AAA<br> CC6+6=CBB<br> (AB|C) -&gt;S57-&gt;E73-&gt;S47-&gt;E57-&gt;S43-&gt;W26-&gt;S18-&gt;?
Paladinen [302]
The question asks:
"Mark Atilius was expecting news from his friends with whom he agreed to reveal the great secret pyramids and spent his time at a nearby inn when he caught the attention of the Egyptian sitting beside him. He was even more surprised when he talked to him.
- You're Mark Atilius, are not you? she smiled - My name is Nefertari and I have a message for you from my grandmother. You should go right away if you want to get Pharaoh's belt you've been looking for all this time.
And he passed on the parchment he had just read.

<span> AA3 + 2 = AAA
CC6 + 6 = CBB
(AB | C) -> S57 -> E73-> S47-> E57-> S43-> W26-> S18->? </span>
Task: Find out the coordinates where Mark should come.<span> "

First, you need to solve for the position from which Mark starts. 
You know: 
</span><span>AA3 + 2 = AAA
Since 3 + 2 = 5,
553 + 2 = 555
Therefore A = 5.

Similarly: 
</span><span>CC6 + 6 = CBB 
Since 6+6 = 12, B = 2.
In order from the middle digit to be 2, the original one must have been 1.
Therefore B = 2 and C = 1

Hence, the starting position is: (AB, C) = (52, 1)

The following line gives you how many steps and in what direction Mark should go: S = south (negative vertical motion), N = north (positive vertical motion), E = east (positive horizontal motion), W = west (negative horizontal motion).

(52, 1) 
-> S57 -> (52, -56)</span> 
-> E73 -> (125, -56)
-> S47 -> (125, -103)
-> E57 -> (182, -103)
-> S43 -> (182, -146)
-> W26 -> (156, -146)
-> S18 -> (156, -164)

Hence, the coordinates that Mark should reach are (156, -164)
5 0
3 years ago
A bag contains yellow marbles and blue marbles, 80 in total. The number of yellow marbles is 4 less than 5 times the number of b
Anuta_ua [19.1K]

I believe it's 12 because 5*16=80. So, then you would subtract 4 from 16 and gat 12.

6 0
3 years ago
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