X is t shirt is $8
Y is sweatshirt $11
2x+2y=38
3x+1y=35
We will be using the elimination process so you want even them out same value
2x+2y=38
-6x-2y=-70 ( want get rid of the y-value by increasing to other by when both add or subtract it will equal 0)
-4x=-32
Divide both -4
X=8 So 8 dollars a t-shirt so now will fill x with 8
2(8)+2y=38
16+2y=38
-16
2y=22
Divid by 2
Y = 11 so a sweatshirt is 11 dollars
You can check by fill each by the variable
Answer:
Step-by-step explanation:
If the ratio of triangle = 3:5:7
Total ratio = 3+5+7 = 15
The sum of angle in a triangle is 180°
1st angle= 3/15× 180 = 3 × 12 = 36°
2nd angle= 5/15 × 180 = 5 × 12 = 60°
3rd angle= 7/15 × 180 = 7 × 12 = 84°
The answer is -2x so two black rectangles
Answer:
Step-by-step explanation:
p = 0.05 ( or 5%)
n = 12
Part b)
Expected value = n X p
expected value = 12 X 0.05
Expected value = 0.60
Part c)
Batch will be accepted if the number of defectives is less than 2
P(accepted) = P( x = 0) + P (x = 1)
where x = number of defectives
From binomial formula;
P(X=x) = nCx X p^x X (1-p)^(n-x)
we got n = 12, p = 0.05
P(x=0) = 12C0 X 0.05^0 X (0.95)^12
P(x=0) = 0.54036
P(x=1) = 12C1 X (0.05)61 X (0.95)^11
P(x=1) = 0.34128
P(accepted) = 0.54036 + 0.34128
P(accepted) = 0.88164
Part d)
Standard deviation = √(0.05 X 0.95/12) = 0.062915
One third (or 1/3 ) is the correct answer