Answer:0.1446
Step-by-step explanation:
Let p be the population proportion of adults say that cloning of humans should be allowed.
As per given , the appropriate set of hypothesis would be :-

Since
is left-tailed and sample size is large(n=1012) , so we perform left-tailed z-test.
Given : The test statistic for this test is -1.06.
P-value for left tailed test,
P(z<-1.06)=1-P(z<1.06) [∵P(Z<-z)=1-P(Z<z]
=
(Using z-value table.)
Hence, the p-value for this test statistic= 0.1446
Answer: It would be y=2x.
Since the second angle + first angle is 90 degrees, the third angle must be 90 degrees to complete the 180 degrees in a circle.
Hope this helps!
Answer:
Option C is correct.
Step-by-step explanation:
y = x^2-x-3 eq(1)
y = -3x + 5 eq(2)
We can solve by substituting the value of y in eq(2) in the eq(1)
-3x+5 = x^2-x-3
x^2-x+3x-3-5=0
x^2+2x-8=0
Now factorizing the above equation
x^2+4x-2x-8=0
x(x+4)-2(x+4)=0
(x-2)(x+4)=0
(x-2)=0 and (x+4)=0
x=2 and x=-4
Now finding the value of y by placing value of x in the above eq(2)
put x =2
y = -3x + 5
y = -3(2) + 5
y = -6+5
y = -1
Now, put x = -4
y = -3x + 5
y = -3(-4) + 5
y = 12+5
y =17
so, when x=2, y =-1 and x=-4 y=17
(2,-1) and (-4,17) is the solution.
So, Option C is correct.