Answer:
<h2>13</h2>
Step-by-step explanation:
3z + 5 = 4z - 8
⇌ 5 + 8 = 4z - 3z
⇌ 13 = z
First, we translate the information that the question gives us:20+x is "twenty added to a certain number"(20+x)/5 is "the sum divided by five"1+12x is "one more than twelve times the original number"Putting it all together, we get the following equation:(x+20)/5 = 1 + 12xSolve for x:x+20=5(1+12x)x+20=5+60x20-5=60x-x15=59x15/59 = xTherefore, the original number was 15/59
Answer:
<u>Options 3, 4 and 5</u>
Step-by-step explanation:
Given:
F(x) = x³ + 3x² - 25x - 75
Factor the given function:
F(x) = x³ + 3x² - 25x - 75
⇒ take x² a common from (x³ + 3x²) and (-25) a common from (- 25x - 75)
F(x) = x²(x+3) - 25 (x+3)
⇒ take (x+3) as a common
F(x) = (x+3) (x² - 25)
(x² - 25) = (x-5) (x+5)
∴ F(x) = (x+3) (x-5) (x+5)
<u>The answer are options 3, 4 and 5</u>
Answer:
The surface area is 78 unit square.
Step-by-step explanation:
Given : The surface area for a rectangular prism with a square base is
.
To find : What is the surface area if s=3 and h=5?
Solution :
The surface area for a rectangular prism with a square base is 
Substitute, s=3 and h=5




Therefore, The surface area is 78 unit square.
Using the mean <u>formula and it's interpretation</u>, it is found that:
1. The mean is 7.52.
2. If we were to give this quiz to more and more students, the mean score for these students would approach 7.52.
The mean of a discrete distribution is given by the <u>sum of each outcome divided by it's respective probability</u>.
Hence, in this problem, according to the <u>distribution given</u>, the mean is:

The mean is 7.52.
The <em>interpretation </em>is that over many trials, the mean would approach 7.52.
A similar problem is given at brainly.com/question/24855677