Answer: 95% confidence interval would be (0.555,0.745).
Step-by-step explanation:
Since we have given that
n = 97
x = 63
So, we get that
At 95% confidence interval , z = 1.96
so, Margin of error would be
So, interval would be
Hence, 95% confidence interval would be (0.555,0.745).
Tip, the teachers are lazy, they probably copied it from online search it up, and see if the answer key is there.
Answer:
Step-by-step explanation:
we are given two <u>coincident</u><u> points</u>
since they are coincident points
By order pair we obtain:
now we end up with a simultaneous equation as we have two variables
to figure out the simultaneous equation we can consider using <u>substitution</u><u> method</u>
to do so, make a the subject of the equation.therefore from the second equation we acquire:
now substitute:
distribute:
collect like terms:
rearrange:
by <em>Pythagorean</em><em> theorem</em> we obtain:
cancel 4 from both sides:
move right hand side expression to left hand side and change its sign:
factor out sin:
factor out 2:
group:
factor out -1:
divide both sides by -1:
by <em>Zero</em><em> product</em><em> </em><em>property</em> we acquire:
cancel 2 from the first equation and add 1 to the second equation since -1≤sinθ≤1 the first equation is false for any value of theta
divide both sides by 2:
by unit circle we get:
so when θ is 60° a is:
recall unit circle:
simplify which yields:
when θ is 300°
remember unit circle:
simplify which yields:
and we are done!
disclaimer: also refer the attachment I did it first before answering the question
The answer is D to the next step
Answer:
7x^2 −12x−10
Step-by-step explanation:
((5x2 - 8x) + 1) + (2x2 - 4x - 11)
Factoring 7x2-12x-10
The first term is, 7x2 its coefficient is 7 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 7 • -10 = -70
Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term, which is -12 .
-70 + 1 = -69
-35 + 2 = -33
-14 + 5 = -9
-10 + 7 = -3
-7 + 10 = 3
-5 + 14 = 9
-2 + 35 = 33
-1 + 70 = 69
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored