Answer:
The student must score 79.75% to be invited to join the honors program.
Step-by-step explanation:
Let <em>X</em> denote the score of a freshman in the entrance exam.
It is provided that the average test score is 78%, with a standard deviation of 11%.
It is provided that the top 10% being offered admission to the university's honors program.
Let <em>x</em> denote the score eligible for being offered admission to the university's honors program.
Then, P (X ≤ x) = 0.90.
Then P (Z < z) = 0.90.
The corresponding <em>z</em>-score is, 1.28.
*Use a <em>z</em>-table<em>.</em>
Compute the value of <em>x</em> as follows:
Thus, the student must score 79.75% to be invited to join the honors program.
To get the distance of the balloon from the the bottom to the ground we apply the following trigonometric formula:
sin θ=opposite/hypotenuse
θ=35°
opposite=height,h
hypotenuse=75ft
Thus plugging our values in the formula we obtain:
sin 35=h/75
solving for h we get
h=75sin 35
h=43.02~43 ft
Answer:
The smallest whole number length is 12
Step-by-step explanation:
The sum of any two sides of any triangle must be greater than the length of the third side.
In this case, the two smallest sides of the triangle must be greater than the third side to satisfy the statement above.
Let "x" = the length of the third side.
Our two smaller sides are "x" and "4", and their sum must be greater than 15.
x + 4 > 15
x > 15 - 4
x > 11
Answer:
Step-by-step explanation:
THE ANSWER IS C
<h2>Answer = </h2><h2>
</h2>
Step-by-step explanation:
Greetings !
simplify for variable y first
apply exponent rule
Add/subtract the numbers -8+3=5
Apply exponent rule
Thus,
secondly, simplify for the variable x
Apply exponent rule as we made on y
multiply bot the values we get
Hope it helps!
