<span>So we want to know what MAD from this set of data is that has the mean value of 4. First we determine the distance d of each number from the set from the mean value: d1=4-3=1, d2=4-4=0, d3=5-4=1, d4=6-4=2. So our set of distances is {1,1,1,1,0,0,0,1,1,2}. Now we can determine MAD: MAD=(1+1+1+1+0+0+0+1+1+2)/10=0.8.</span>
Answer:
36°
Step-by-step explanation:
Please refer to the attached figure.
Triangles ANC, AMB, BCN, CBM are all isosceles by virtue of the given congruences. By symmetry, we also claim that ΔABC is isosceles (AB≅AC).
We aren't sure how their internal angles relate, but we can write a couple of equations.
Let x = m∠BAC, y = m∠BCN.
∠NCA = ∠NAC = ∠MBA = ∠MAB = x
∠BCM = ∠BMC = x +y
∠BMC = ∠MBA +∠MAB = 2x
So, we have ...
∠BMC = x +y = 2x ⇒ y = x
And the sum of angles around ΔABC is ...
x +(2x) +(2x) = 180°
x = 180°/5 = 36°
The measure of angle BAC is 36°.
Answer:
Location of W is - 23, location of X is - 9.
Step-by-step explanation:
location of V = - 16
Points W and X are each 7 units away from Point V.
Let the W is at left of V and X is right of V.
location of W = -16 - 7 = - 23
location of X = - 16 + 7 = - 9
Answer:
Step-by-step explanation:
32 = 2 : 5
32/7 = 4
2 x 4 : 4 x 5
8 : 20
Answer:
7 months
Step-by-step explanation:
He plans on depositing $200 every month into the savings account that already has $600 in it.
We can represent the amount of money he will have after a certain number of months (x) as:
A = 600 + 200x
He needs to save $2000. Therefore, to find the months he needs to save, we need to find x when A is $2000:
2000 = 600 + 200x
200x = 2000 - 600
200x = 1400
x = 1400/200 = 7 months
He needs to save for 7 months.
