Going to the right or left when doing translation effects the x coordinate. In this case, the x coordinate is 14. Since we are moving 6 units to the left, we must subtract 6 from 14. Moving to the left is negative and moving to the right is positive.
14 - 6 = 8
The answer is (8,-12)
Answer:
0.205 ; 0.117 ; 0.999
Step-by-step explanation:
Using binomial probability distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability of success, p = 0.5
P(x = 4) = 10C4 * 0.5^4 * 0.5^6
P(X = 4) = 0.205078125
B.) 3 heads and 7 tails
P(X = 7) = 10C7 * 0.5^7 * 0.5^3
P(X = 7) = 120 * 0.0009765625
P(X = 7) = 0.117
P(atleast one head)
P(x greater than equal to 1) = p(x =1) +... P(x = 10)
Using a binomial probability calculator :
P(x greater than equal to 1) = 0.999
Because the two angles add up to equal 90, you would make an equation set to equal 90. On the other end you add the measures of your angles together because they are adding up to equal 90. This would look like 2x+5+35=90 and you solve from here. Add like terms making it 2x+40=90 then you subtract 40 from both sides making it 2x=50 and then divide by 2 on both sides which leaves you with x=25.
6.
A)each foot equals 12 inches
B)12x
C)252=12x divide each side by 12 then x=21
7)2.54x multiply by 12 and then the answer is 30.48
Answer:
x +(2x + 3) = 33
Step-by-step explanation:
two equations can be derived from the question
c = 3 + 2x equation 1
c + x = 33 equation 2
where :
c = cappuccinos
x = lattes
make c the subject of the formula in equation 2
c = 33 - x equation 3
equate 3 and 1
x +(2x + 3) = 33
