Answer:
E(X) = 1.28
Var(X) = 0.6016
E(X | Y=2) = 1.6667
Var(X | Y=2) = 0.4272
Step-by-step explanation:
9514 1404 393
Answer:
- Stella bought 16 fl oz
- $0.17 per fl oz is the unit rate
Step-by-step explanation:
1 pint is 2 cups, so is 2×8 fl oz = 16 fl oz
Then the unit rate of Stella's juice is ...
dollars/ounces = $2.72/(16 fl oz) = $0.17 /fl oz
The cost per fluid ounce is $0.17.
The height that a ball reaches at a certain time t is given by the equation,
h = 2 - 15t + 5t²
We are asked to compute for the values of t that would allow the ball to reach a height of 7 meters.
Substitute the 7 to the equation,
7 = 2 - 15t + 5t²
Transposing,
5t² - 15t - 7 + 2 = 0
Simplifying,
5t² - 15t - 5 = 0
Divide the equation by 5,
t² - 3t - 1 = 0
The values of t can be calculated through the quadratic formula,
t = (-b +/- sqrt(b² - 4ac))/2a
Substituting,
t = (3 +/-sqrt (9 - 4(-1)) / 2(1)
t = 3.3 or t = -0.30
Since, we cannot have t as a negative number hence, our final answer is:
<em> t = 3.3 s</em>
Blank 1= must be congruent
Blank2= must not be perpendicular
Also search up a quadrilateral rhombus see what it looks like then search up the definition of congruent and perpendicular and you’d be able to see for yourself
