Answer:
17.4 kilometers per week
Step-by-step explanation:
we know that
The number of kilometers that Jim drives a week is equal to the number of baseball practice multiplied by its round trip plus the number basketball practice multiplied by its round trip
Remember that

so


Answer:
5/15
Step-by-step explanation:
there are 15 balls altogether, 5 of which are blue meaning there is a 5/15 chance of picking a blue ball which as a percentage is 33.33% chance
Answer:
The conclusion is that the researcher was correct
Step-by-step explanation:
From the question we are told that
The sample size is 
The sample mean is 
The standard deviation is 
The significance level is 
The Null Hypothesis is 
The Alternative Hypothesis is 
The test statistic is mathematically represented as

Substituting values


Now the critical value for
is

This obtained from the critical value table
So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected
The conclusion is that the researcher was correct
Angle on a straight line sums up to 180
so
72+x + x+130 = 180
2x = 180-72-130
2x =-22
x= -11
so Angle on the LHS is 61°
while angle on the RHS is 119°
Using Descartes' Rule of Signs:
The signs are: - + - + - +
There are 5 signs changes in this sequence, so there could be either 5, 3, or 1 positive roots.
If we negate the terms with odd numbers (x^5, x^3), we end up with the signs: - - - - - +
Since there is 1 sign change, there can be only 1 negative root.
This means the positive and negative roots can either be 6, 4, or 2.
Since the total number of roots cannot exceed 6, there are either 0, 2, or 4 complex roots.