A)
X/3 -2 = 6
Add 2 to both sides:
X/3 = 8
Multiply both sides by 3:
X = 24
B)
X/5 +1 = 5
Subtract 1 from both sides:
X/5 = 4
Multiply both sides by 5:
X = 20
The given number sentence is simplified as 1 3/5
<u>Step-by-step explanation:</u>
The given number sentence is 2-4/5 x 1/2
- In order to solve this, the operations must be performed based on the BODMAS rule.
- This means that, the operations should be performed in the order of Bracket, Of, Division, Multiplication, Addition and Subtraction.
Here, based on that above rule, the multiplication must be done in the first step and then subtraction should be done in the next step.
⇒ 2 - 4/5 × 1/2
⇒ 2 - 4/10
⇒ 2 - 2/5
Therefore, the given expression is reduced to 2- 2/5
cross multiply the denominator 5
⇒ (10-2) / 5
⇒ 8/5
Now, the expression is reduced to single term 8/5.
To further reduce the term, divide 8 by 5.
- The quotient is 1.
- The remainder is 3.
- The divisor is 5.
The answer is written in the form of 
⇒ 1 3/5
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Answer:
c. 0.1151
Step-by-step explanation:
d) the probability that, on average, fish are larger than 86 centimeters in length.The area under part of a normal probability curve is directly proportional to probability and the value is calculated as
z = (x₁−x) /σ
where z = propability of normal curve
x₁ = variate mean = 86cm
x = mean of 80cm
σ = standard deviation = 5cm
applying the formula,
z= (86-80)/5
z = 6/5 =1.2
Using a table of partial areas beneath the standardized normal curve (see Table of normal curve, a z-value of 1.2 corresponds to an area of 0.3849 between the mean value. but, because the standard curve has 0.5, then will minus 0.3849 from 0.5= 0.5 - 0.3849 = 0.1151
Thus the probability of a fish are larger than 86 centimeters in length is 0.1151
Answer:
Essentially, slope is rise/run. Rise is how many units up the graph, and run is how far to the left or right it goes. Rise will be negative if it's going down, and run will be negative if it's going left. There's two ways to find the slope in this case.
1. Stick to the more visual aspect of it, and count how many units up from one point to the next point. Point (1,2) is 2 units up from point (0,0). Then you count how many units right or left it goes. In this case, it's 1 towards the right. This means the rise/run comes out to be 2/1, which means the slope=2.
2. Look at the equations. y=mx+b is the linear format for these lines. y is the y coordinate, m is the slope, x is the x coordinate, and b is the y intercept (the point where x=0). These two lines have shared slope values, which means the slope for both of them is 2.
(please brainliest?)