Answer:
The minimum score that an applicant must make on the test to be accepted is 360.
Step-by-step explanation:
Given : A highly selective boarding school will only admit students who place at least 2.5 standard deviations above the mean on a standardized test that has a mean of 300 and a standard deviation of 24.
To find : What is the minimum score that an applicant must make on the test to be accepted?
Solution :
We apply the z formula,
Where, z value= 2.5
is the mean of the population
is the standard deviation
x is the sample mean.
Substituting the values in the formula,
Therefore, The minimum score that an applicant must make on the test to be accepted is 360.
Imagine we drew a line from the centre (2,0) to the point (0,4).
Essentially the line<u> we drew from the centre to that point on the circle is perpendicular to the tangent line slope-wise</u>.
The <u>slope of that line from the centre to the point is -2</u> based on the slope's equation or formula.
slope = 
Therefore the <u>tangent equation's slope is 1/2</u> since any perpendicular line's slope is the negative reciprocal of the original line's slope.
By<u> using the point-slope form, we must have the point on the tangent plane (0,4) and the slope we found which is 1/2</u>.
Hope that helps!
Answer:
18 feet
Step-by-step explanation:
9/12 = 0.75
24 x 0.75 = 18
It would be C because you don’t know how many watches so there is a variable, x. Then the price has to be less then or equal to because the amount is the most she can use so it can’t be greater.
Answer:
110 chairs.
Step-by-step explanation:
(9x6) + (8x7) First multiply 9x6 and 8x7.
(54) + (56) In the first parenthesis, we have 9 tables with 6 chairs each. We are going to add that to the second parenthesis with 7 tables and 8 chairs each.
= 110 There are 110 chairs.
