Answer:
x = 2
y =7
Step-by-step explanation:
the system of linear equation will be solve using substitution method,
let
Y=3x+1.............................................. equation 1
Y=2x+3.............................................. equation 2
substitute equation 1 into equation 2
3x + 1 = 2x + 3
combine the like terms
3x+1 -2x = 3
x = 3 -1
x = 2
put the value of x=2 in either equation 1 or 2
Y=2x+3.............................................. equation 2
y = 2(2) + 3
y = 4 + 3
y = 7
Answer:
Step-by-step explanation:
Given that Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard deviation of 6 inches.
If X is height then X is N(55,6)
Z score would be 
b) 
c) Tallest 10% z = 1.28
X score = 
inches
d)
i.e. 16.37% cannot go on this ride.
Answer:
48.67
Step-by-step explanation:
31 divided by 2 = 15.5 which is the radius
15.5 times by 3.14(pi) = 48.67
A)We have been given →
Hieght of trough = 5m
length of trough = 6m
Breadth of trough = 4m
so , As the top is opened for feeding animals.
Area of base = length× Breadth
= (6×4) m²
= 24 m²
Area of Front and back face = Hieght × length
= (5×6) m²
= 30m²
Area of side faces = hieght × Breadth
= (5×4) m²
= 20 m²
____________________________________
B)Total Surface area of trough will be given by formula - 2(lb+bh+hl)
= 2{(6×4)+(4×5)+(5×6)}
= 2{24+20+30}
= 2×74
= 148 m²
As we have been told top is open , so we will deduct top from Total surface Area to obtain Surface area →
(148-24) m²
(Area of top will be same as base area , that is 24m² as we have solved in A)
= 124m²
Answer→ Surface area of trough is 124m²
___________________________________
Answer:
960
Step-by-step explanation:
<u>Given:</u>
- Stan's cookie recipe makes 24 cookies.
- It needs exactly 384 sprinkles.
<u>To Find:</u>
- Number of sprinkles needed for 60 cookies
<h2><u>Solution:</u></h2>
<u>Find the number of sprinkles needed for 1 cookie:</u>
- 24 cookies = 384 sprinkles
- 1 cookie = 384 ÷ 24
- 1 cookie = 16 sprinkles
<u>Find the number of sprinkles needed for 60 cookies:</u>
- 1 cookie = 16 sprinkles
- 60 cookies = 16 x 60
- 60 cookies = 960 sprinkles
Answer: Stan will need 960 sprinkles for 60 cookies.
