Answer:
<u>4y = x + 13</u>
Step-by-step explanation:
The general equation of the line y = mx + c
where m is the slope and c is constant represent y-intercept
The line shown in the graph pass through the points (3,4) , (-1,3)
The slope of the line = (y₂-y₁)/(x₂-x₁) = (3-4)/(-1-3) = -1/-4 = 1/4
∴ y = (1/4) x + c
Substitute with the point (3,4) to find c
∴ 4 = (1/4) 3 + c
∴ c = 4 - 3/4 = 13/4
∴ y = (1/4) x + 13/4 ⇒ multiply both sides by 4
∴ 4y = x + 13
So, The equation of the line in the graph: 4y = x + 13
The equation can be written as <u>y = (1/4) x + 13/4 OR 4y - x = 13</u>
Andrew has saved 36 number of R5 coins, 90 number of R2 coins and 126 number of R1 coins.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
The coins are in the ratio 2:5:7 respectively. If he has a R90 in R2 coins. If x represent the total coins, hence:
(5/14) * x = 90
x = 252
Number of R5 coins = (2/14) * 252 = 36
Number of R1 coins = (7/14) * 252 = 126
Andrew has saved 36 number of R5 coins, 90 number of R2 coins and 126 number of R1 coins,
find out more on equation at: brainly.com/question/2972832
The Neolithic Revolution allowed people to live in permanent settlements.
<u>Explanation:</u>
The Neolithic Revolution is the phase of transition in which many of the human cultures in the world shifted their lifestyle to permanent settlement and agriculture from hunting and gathering.
This era is also named as First Agricultural Revolution or Neolithic Demographic Transition. The agricultural practices led the cultures to develop the knowledge of domestication of animals and they began to observe and experiment with the plants (to learn or know how they grow and develop).
Neolithic period is named as revolution because this period changed the way of life of most of the communities. This first occurred in so-called "Fertile Crescent" or Mesopotamia (modern Iraq).
Answer:
0.006 is the probability that the record will be broken in next year.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 62 seconds
Standard Deviation, σ = 0.8 seconds
We are given that the distribution of face time is a bell shaped distribution that is a normal distribution.
Formula:
The record will be broken if the time is less than 60 seconds.
P(time is less than 60 seconds)
P(x < 60)
Calculation the value from standard normal z table, we have,
Thus, 0.006 is the probability that the record will be broken in next year.
Answer:
x = +5
Step-by-step explanation:
The triangles ADB and BDC are similar. Thus it is possible to write an equation of ratios and solve it for x:
x 10
----- = -------
10 4x
Cross-multipying, we get:
4x^2 = 100, which yields x = +5
