area of rectangle = l×b
So, area of drawing = l×b = 8cm×4cm = 32cm²
Let’s arrange the fist equation
x+y=12
2x+3y=29
Multiply equation 1 by 2
So it will be
2x+2y=24
Subtract eq 1 from eq 2
2x+3y=29
2x+2y=24
—————-
Y =5
Put value of y in eq 1
2x+2y=24
2x +10= 24
2x= 24-10
2x= 14
x=14/2
x=7
S.S= (7,5)
1 quarter note=2 eighth notes
1 eight note=2 sixteenth notes
so
1 quarter note=4 sixteenth note
so
times 3 both sides
3 quarter notes=12 sixteenth notes
Answer:
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Step-by-step explanation:
Complete question
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
Solution :
The null hypothesis is basically the problem statement that needs to be tested.
Alternate hypothesis is opposite of that of null hypothesis
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Answer:
y=4
Step-by-step explanation:
From the graph we can see that-
when, x=-3 , y=4
That is , the graph passes through (-3 , 4)
So,
for x=-3 ,
we get y=4
So, the answer is y=4
