Find the image of P(-5,2) after two transformations; first reflection over the y axis and then
1 answer:
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Answer:
x = 2
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² + 9² = 11²
x² + 81 = 121 ( subtract 81 from both sides )
x² = 40 ( take square root of both sides )
x = =
=
×
= 2
≈ 6.32 ( to 2 dec. places )
Answer:
46.08 students said that chicken is their favorite food.
Step-by-step explanation:
Let <em>X </em>denote the number of students who liked chicken.
The proportion of students who liked chicken is, <em>p</em> = 0.08.
About <em>n</em> = 576 students were surveyed about their favorite food.
Every student's answer was independent of the others.
Thus, the random variable <em>X</em> follows a binomial distribution with parameters <em>n</em> = 576 and <em>p</em> = 0.08.
The probability mass function of <em>X</em> is:
Then expected number of students who said that chicken is their favorite food is:
Thus, 46.08 students said that chicken is their favorite food.
Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ - 10, 10 ], thus
f(b) = f(10) = 10² + 9(10) + 18 = 100 + 90 + 18 = 208
f(a) = f(- 10) = (- 10)² + 9(- 10) + 18 = 100 - 90 + 18 = 28, thus
average rate of change = =
= 9