Answer:
Mean:
a) 4
b) 2
c) 2
d) 2
Median:
a) 4,2
b) 5,2
c) 5,1
d) 4,1
Mode:
a) 1
b) 1
c) 1
d) 1
Step-by-step explanation:
Mean:
a) 1+4+2+1 = 8/4=4
b)1+5+2+1 = 9/4= 2.25 (round to the nearest whole number = 2)
c) 1+5+1+0 = 7/4 = 1.75 (round to the nearest whole number = 2)
d) 1+4+1+0 = 6/4 = 1.5 (round to the nearest whole number = 2)
Answer:
38.13m²
Step-by-step explanation:
We find the area of ;
Rectangule and semicircle
Area of rectangle :
Length * width
Length = 8m ; width = 3m
Area = 8 * 3 = 24m²
Area of semicircle = 1/2 πr²
Radius, r = 3m
A = 1/2 * 3.14 * 3²
A = 1/2 * 3.14 * 9
A = 14.13 m²
Area of patio :
(24 + 14.13)m²
= 38.13m²
<span><span>2<span>(<span><span>3x</span>−4</span>)</span></span>=<span><span>3x</span>+1
</span></span>Step 1: Simplify both sides of the equation.
<span><span>2<span>(<span><span>3x</span>−4</span>)</span></span>=<span><span>3x</span>+1</span></span><span>Simplify: (Show steps)</span><span><span><span>6x</span>−8</span>=<span><span>3x</span>+1
</span></span>Step 2: Subtract 3x from both sides.
<span><span><span><span>6x</span>−8</span>−<span>3x</span></span>=<span><span><span>3x</span>+1</span>−<span>3x</span></span></span><span><span><span>3x</span>−8</span>=1
</span>Step 3: Add 8 to both sides.
<span><span><span><span>3x</span>−8</span>+8</span>=<span>1+8</span></span><span><span>3x</span>=9
</span>Step 4: Divide both sides by 3.
<span><span><span>3x</span>3</span>=<span>93
</span></span><span> answer : x=<span>3
hope this helps!</span></span>
Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
Answer:
see the explanation
Step-by-step explanation:
we have
This is the equation of a line in point slope form
where
the point is (-2,4)
the slope is m=1/3
Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
so
To graph the line
1. Plot the point (–2,4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points
