Answer: A and D
Step-by-step explanation:
Dependent events mean that one event depends on the outcome of the previous event.
A) If the first roll is a 3, and we want to sum more than 7 with the second roll, then the possible outcomes 5 and 6. Now if the first roll is 4, then the possible outcomes for the second event will be 4, 5 and 6. So you can see how the outcome space of the second event changes depending on the first event, so the events are dependent.
B) Here we do not have dependence, each event only depends on it's own outcome.
C) Again, both events only depend on it's own outcome, so the events are not dependent.
D) This is similar as the case for A, these events are dependent because is not the same if the outcome of the first event is 3, than if the outcome is 5 (the outcome needed for the second roll changes depending on the outcome of the first event)
E) Same as B and C, the events are independent.
Answer:
+1, -1, +11, -11
probably written with a +- symbol:
+-1, +-11
Maybe (silly) written like fractions:
+- 1/1, +- 11/1
Step-by-step explanation:
First list the factors of the leading coefficient. Here its 1. So we're going to use positive and negatives of the factors of 1, which is just +/- 1 . These numbers are going to go on the bottom of a fraction.
Next look for the factors of the constant, here it's 11
So that gives us
+/- 1, +/- 11 . These will go on the top of a fraction. (A fraction is a rational expression, that's why the name)
Then make all the combinations of
factors of constant
OVER
factors of leadingcoeff
So, we find
+/- 1, +/- 11
6x60=360. 4 quarts is equal to 1 gallon so multiply 360 by 4 and you’d get 1440. So the answer should be 1440.
Answer:
1/3x +4
is the inverse of f(x) = 3x + 4.
Check:
The purpose of the inverse property of multiplication is to get a product of one. So the inverse multiplied with the original number (or equation) should give us the product of one.
1 / (3x + 4) * 3x + 4 = 3x+4 / 3x+ 4 = 1
The exponential function that passes through (0,2) and (3,54) is a growth function
The exponetial function is y = 2 * 3^x
<h3>How to construct the exponential function?</h3>
The points are given as:
(x,y) = (0,2) and (3,54)
An exponential function is represented as:
y = ab^x
Substitute the points in the equation
2 = ab^0 and 54 = ab^3
Solve 2 = ab^0
a = 2
Substitute 2 for a in 54 = ab^3
54 = 2b^3
Divide by 2
27 = b^3
Take the cube roots of both sides
b = 3
So, we have:
y = ab^x
This becomes
y = 2 * 3^x
Hence, the exponetial function is y = 2 * 3^x
Read more about exponential functions at:
brainly.com/question/24077767
