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VMariaS [17]
3 years ago
5

4 times a number less than 6 is 8 more than twice that number. find the number.

Mathematics
1 answer:
Serhud [2]3 years ago
7 0
First, let's break the worded equation up into two parts:

- "<span>4 times a number less than 6'

This is 4 * (6-x)

- "</span><span>8 more than twice that number"

This is 2x+8


Now combine these two expressions:

</span>4 * (6-x) =  2x+8

4 * (6-x) = 2 * (x+4) 

2 * (6-x) = x+4

12-2x = x+4

-3x = -8

x = 8/3


If you have any questions, please leave it in the comment section below.

Hope this helps!
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A university knows from historical data that 25% of students in an introductory statistics class withdraw before completing the
Vikki [24]

Answer:

13.4%

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, n = 16, r = 2, p = 0.25, and q = 0.75.

P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²

P = 120 (0.25)² (0.75)¹⁴

P = 0.134

There is a 13.4% probability that exactly 2 students will withdraw.

8 0
3 years ago
Please help,I need it for tomorrow​
Inga [223]

Answer:

<C=26

<B=48

<D=106

<F=42

Step-by-step explanation:

I labeled all the angles to help this make more sense :)

So first we find <C, which is supplementary to <E so just do 180-154=26

Next, we know that <F and <B are equal because they form corresponding angles.

Angles <C <D and <B form a triangle. The three angles of a triangle always equal 180. Now that we know angles <C and <B, we just do 180-26-48=106.

Lastly, to find angle A, we just take 180-106-48=42.

Hope this helps

7 0
2 years ago
Identify each number as rational or irrational.
emmasim [6.3K]

Answer:

1. Rational

2. Irrational

3. Irrational

4. Rational

5. Irrational

Step-by-step explanation:

Rational numbers are numbers you can identify as the ratio of two integers. Which means they don't go on forever. 1 and 4 are both rational numbers while 2, 3, and 5 are irrational.

4 0
3 years ago
Rate of change from X = 15 to X = 19.
vova2212 [387]

Answer:

26%

Step-by-step explanation:

Subtract the old amt from the new amt, then divide by the old amt:

19-15/15 = 4/15 = 26.6%. Rounded to the nearest tenth it would be 26%.

8 0
3 years ago
The perimeter of a square is 60 feet. Find the length of one side.
Luden [163]

Answer:

15 feet

Step-by-step explanation:

Perimeter = All outside lengths added together

We know that the shape is a square, and squares have 4 sides.

So, divide 60 by 4.

60 / 4 = 15.

The length of one side is 15 feet.

7 0
3 years ago
Read 2 more answers
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