There is not enough information to answer the question. To answer it, you need to know how much gas is in her gas tank and how far she needs to travel.
Answer:
0.006369
Step-by-step explanation:
Given that a test consists of 10 multiple choice questions, each with five possible answers, one of which is correct.
By mere guessing p = probability for a right answer = 1/5 =0.20
There are two outcomes and each question is independent of the other.
X no of questions right is Bin (10,0.20)
the probability that the student will pass the test
= prob of getting more than 60%
=![P(X\geq 6)](https://tex.z-dn.net/?f=P%28X%5Cgeq%206%29)
=0.006369
Answer:
As many as 7 apples or as few as 4 apples could be green.
Step-by-step explanation:
Laura picks 7 apples.Some apples are red and some are green. Fewer than 4 of the apples are red. How many of laura's apples could be green?
x = total number of red apples
y = total number of green apples
Fewer than 4 of the apples are red.
x<4
That means that 3 or less of the apples are red
So, 7 - 3 = 4
That means that 4 or more apples are green.
7≥y≥4
That means that as many as 7 apples or as few as 4 apples could be green.
Answer:
Function: ![x+y=9](https://tex.z-dn.net/?f=x%2By%3D9)
Not Function:
and ![x=y^2](https://tex.z-dn.net/?f=x%3Dy%5E2)
Step-by-step explanation:
Given
![x+y=9](https://tex.z-dn.net/?f=x%2By%3D9)
![x^2+y^2=1](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3D1)
![x=y^2](https://tex.z-dn.net/?f=x%3Dy%5E2)
Required
Determine if
is a function of ![x](https://tex.z-dn.net/?f=x)
Solving x+y=9
![x+y=9](https://tex.z-dn.net/?f=x%2By%3D9)
Make y the subject of formula
![y = 9 - x](https://tex.z-dn.net/?f=y%20%3D%209%20-%20x)
<em>Hence; y is a function of x</em>
Solving ![x^2+y^2=1](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3D1)
![x^2+y^2=1](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3D1)
Subtract x² from both sides
![y^2=1 - x^2](https://tex.z-dn.net/?f=y%5E2%3D1%20-%20x%5E2)
Square root of both sides
![y =\± \sqrt{1 - x^2}](https://tex.z-dn.net/?f=y%20%3D%5C%C2%B1%20%5Csqrt%7B1%20-%20x%5E2%7D)
This implies that
or ![y =-\sqrt{1 - x^2}](https://tex.z-dn.net/?f=y%20%3D-%5Csqrt%7B1%20-%20x%5E2%7D)
<em>Because </em>
<em> can be any of those two expressions, it is not a function.</em>
Solving ![x=y^2](https://tex.z-dn.net/?f=x%3Dy%5E2)
![x=y^2](https://tex.z-dn.net/?f=x%3Dy%5E2)
Reorder
![y^2 = x](https://tex.z-dn.net/?f=y%5E2%20%3D%20x)
Take square roots
![y = \±\sqrt{x}](https://tex.z-dn.net/?f=y%20%3D%20%5C%C2%B1%5Csqrt%7Bx%7D)
This implies that
or ![y = -\sqrt{x}](https://tex.z-dn.net/?f=y%20%3D%20-%5Csqrt%7Bx%7D)
<em>Because </em>
<em> can be any of those two expressions, it is not a function.</em>