Two professors are applying for grants. Professor Jane has a probability of 0.64 of being funded. Professor Joe has probability 0.23 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent. Give your answer to four decimal places. a. What is the probability that both professors get their grants funded

14.72% probability that both professors get their grants funded

Step-by-step explanation:

Independent events:

If two events, A and B are independent, the probability of both happening is:

In this question:

Event A: Professor Jane is funded

Event B: Professor Joe is funded.

Professor Jane has a probability of 0.64 of being funded.

This means that

Professor Joe has probability 0.23 of being funded.

This means that

What is the probability that both professors get their grants funded

14.72% probability that both professors get their grants funded

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1