Answer:
Find other solutions in explanation
x = 250
y = 1750
Step-by-step explanation:
x = cost per copybook
y = cost per pen
2. Sum of the cost of 4 copy books and 3 pen is equal to 7750
3.)
2x+y=2750 - - (1)
4x + 3y = 7750 - - - (2)
From (1)
y = 2750 - 2x
Substitute y = 2750 - 2x into (2)
4x + 3(2750 - 2x) = 7750
4x + 8250 - 6x = 7750
-2x = - 500
x = 500/2
x = 250
y = 2750 - 2(500)
y = 2750 - 1000
y = 1750
Answer:
g(x) increasing
h(x) decreasing
Step-by-step explanation:
Since the value of y gets larger as the value of x increases over the interval -2 <x<-1 for the function g(x), the function is increasing
Since the value of y gets smaller as the value of x increases over the interval -2 <x<-1 for the function h(x), the function is decreasing
Using the pythagorean identity, we can find the value of sin(A)
cos^2(A) + sin^2(A) = 1
(12/13)^2 + sin^2(A) = 1
144/169 + sin^2(A) = 1
sin^2(A) = 1 - 144/169
sin^2(A) = 169/169 - 144/169
sin^2(A) = (169 - 144)/169
sin^2(A) = 25/169
sin(A) = sqrt(25/169)
sin(A) = 5/13
Which is then used to find tan(A)
tan(A) = sin(A)/cos(A)
tan(A) = (5/13) divided by (12/13)
tan(A) = (5/13)*(13/12)
tan(A) = (5*13)/(13*12)
tan(A) = 5/12
The final answer is 5/12
C, because 7 divided, or over nine, is 7/9
Hope this helps!
You must first normalize this in order to use a Z-score table. To convert what you have into a Z score you must use this formula: (x- mean) /standard deviation. In your case (334-310)/12=2. So now you want the probability that a score is greater than 334, which in turn means you want P(Z>2)=1-P(Z<2)=1-.9772=0.0228=2.28%.
