Answer:
2/9
Step-by-step explanation:
We have 3 video games
I will assume that pirates have a water theme, so 2 have a water theme
That leaves 1 game with no water theme
P (no water theme) = games with no water theme/ total
=1/3
The games are 6 7 and 9 dollars
2 games are at least 7 dollars
P( at least 7 dollars) = games at least 7/ total
=2/3
P ( no water theme at least 7 dollars) = P (no water theme) * P( at least 7 dollars)
= 1/3*2/3
= 2/9
It is 0.0623 hope it helps
Answer:
8) The y coordinate of the solution: 4
9) Average of change from x = 2 to x = 4: 11
Step-by-step explanation:
8)
y = 2x + 2
y = x^2 + 3
So
x^2 + 3 = 2x + 2
x^2 - 2x + 3 - 2 = 0
x^2 - 2x + 1 = 0
(x - 1)^2 = 0
x - 1 = 0
x = 1
Plug in x = 1 into either those 2 equations to find y
y = 2(1) + 2 = 4
or
y = (1)^2 + 3 = 1 + 3 = 4
Answer:
The y coordinate of the solution is 4
9)
p(x) = x^2 + 5x - 2
p(2) = 2^2 + 5(2) - 2 = 4 + 10 - 2 = 12
p(4) = 4^2 + 5(4) - 2 = 16 + 20 - 2 = 34
Average of change from x = 2 to x = 4:
[p(4) - p(2)]/[(x(4) - x(2)] = (34 - 12)/(4-2) = 22 /2 = 11
Answer:
Average of change from x = 2 to x = 4 :11
Answer:
Step-by-step explanation:
Answer:
b. about 63.9 units and 41.0 units
Step-by-step explanation:
In question ∠a= 29° and Side of a= 15 and b= 20
Using sine rule of congruence of triangle.
⇒ 
⇒ 
Using value of sin 29°
⇒ 
Cross multiplying both side.
⇒ Sin B= 
∴ B= 41°
Now, we have the degree for ∠B= 41°.
Next, lets find the ∠C
∵ we know the sum total of angle of triangle is 180°
∴∠A+∠B+∠C= 180°
⇒ 
subtracting both side by 70°
∴∠C= 110°
Now, again using the sine rule to find the side of c.
⇒
Using the value of sine and cross multiplying both side.
⇒ C= 
∴ Side C= 28.92.
Now, finding perimeter of angle of triangle
Perimeter of triangle= a+b+c
Perimeter of triangle= 
∴ Perimeter of triangle= 63.9 units
