Answer: 0.025
Step-by-step explanation:
The probability density function for a random variable that is uniformly distributed on interval [a,b] is given by :-
Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 45.0 and 55.0 minutes.
Let x be the random variable that denotes the lengths of her classes.
Then, the probability density function =
Now, the probability that a given class period runs between 50.25 and 50.5 minutes will be :-
Hence, the required probability =0.025
Answer: 112
Step-by-step explanation:
Hi Selena
3 1/2 + 2/3
Multiply 2 by 3 and add it by 1 (for the first fraction)
6+1 / 2 + 2/3
7/2 + 2/3
Now we have different denominator, so we need to multiply the denominator together. 2* 3 = 6
Now we have 6. You need to divide 6 by 2 and add it by the numerator. do that for the second fraction
21/6 + 4/6
Same denominator just add the numerator
21+4/6
25/6
That's the answer.
I hope that's help:)
Answer:
y = -(x + 2)² + 1
Step-by-step explanation:
Parent function given in the graph is a quadratic function,
f(x) = x²
Since, graph is opening downwards transformed function of the preimage will be,
g(x) = -x²
This transformed function is shifted further by 2 units left horizontally and 1 unit upwards.
Therefore, rule for the transformation will be,
g(x) → h[(x + 2), (y + 1)]
By this rule transformed function will be,
h(x) = -(x + 2)²+ 1
Equation of the curve will be,
y = -(x + 2)² + 1
Solve for X on both equations
2x - 2 < -12
Add two on both sides
2x < -10
Divide by two on both sides
2 < -5
2x + 3 > 7
Subtract three on both sides
2x > 4
Divide by two on both sides
x > 2
A. x < -5 or x > 2