Answer:
They can either decrease the confidence level or increase the sample size, that is, survey more students.
Step-by-step explanation:
The width of a confidence interval is given by:
In which z is the critical value correponding to the confidence level(higher confidence level, higher z is), is the standard deviation of the population and n is the size of the sample.
The students realize that this interval contains a large margin of error. What can they do to make a narrower interval?
Looking at the formula for M, they can either decrease the confidence level or increase the sample size, that is, survey more students.
Answer:
3/5
Step-by-step explanation:
sin theta=opposite/hypotenuse
4/5=opposite/hypotenuse
therefore opposite=4 and hypotenuse=5
for adjacent
using pythagoras theorem
a^2+b^2=c^2
opposite^2 + adjacent^2 =hypotenuse^2
4^2 + adjacent^2 =5^2
16 + adjacent^2 =25
adjacent^2 =25-16
adjacent =
adjacent=3
cos theta=adjacent/hypotenuse
=3/5
therefore the value of cos theta is 3/5
ANSWER
The other zero is
EXPLANATION
The axis of symmetry serves as the midpoint of the two zeroes.
We were given that the axis of symmetry of the quadratic equation is
We were also given that, one of the zeroes of the quadratic equation is
Let the other zero of the quadratic equation be
,then, we apply the midpoint formula to find the value of
Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,
We substitute to obtain,
We multiply through by 2 to get,
This implies that,
Answer:
x =106.5
y = 73.5
Step-by-step explanation:
Angle x is 1/2 arc SPQ
x = 1/2(98+115)
x = 1/2(213)
x =106.5
We know that x+y = 180 since this is an inscribed quadrilateral in a circle
x+y=180
106.5 +y =180
Subtract 106.5 from each side
106.5-106.5 +y =180-106.5
y = 73.5
Here is the answer to the given question above.
In order to correctly simplify the given expression above, we will be multiplying both expressions.
(3x^2 y^3 z^4)(2x^5 y^2 z^3)
Now, multiply the who numbers normally. But <span>when an exponent is multiplied by another exponent, the exponents are added together.
Therefore we get, 6x^7y^5z^7.
Therefore, the correct answer would be option A.
Hope this answer helps. </span>