Answer:
x = 7
Step-by-step explanation:
Let's join A & C . If points A ,B & C are collinear , then definitely B point's gonna lie on line segment AC .
So , AC = AB + BC
In the question , length of AC = 3x + 3 , length of AB = 2x - 1 ( or -1 + 2x)
& length of BC = 11.
We know that AC = AB + BC . So putting the given values here :-

Solving this linear eqn. gives

Answer: Expression for the amount raised by Rachel = x
Expression for the amount raised by Francesca = x+10.50
Step-by-step explanation:
Let x = the amount raised by Kayla.
Since Rachel and Kayla each raised the same amount.
then, expression for the amount raised by Rachel = x
Francesca raised $10.50 more than each of them.
Then, expression for the amount raised by Francesca = x+10.50
the answer should be A because the sea level has rised
The probability that a two-digit number selected at random has a tens digit less than its units digit is 0.2667 (4/15).

There are 90 two-digit numbers (99-9). Of these, six numbers are divisible by 15 (15, 30, 45, 60, 75, 90). This is also divisible by 5. Therefore, the preferred case is 30-6 = 24. Therefore, the required probability is 24/90 = 4/15.
The probability of an event can be calculated by simply dividing the number of favorable results by the total number of possible results using a probabilistic expression. Whenever you are uncertain about the outcome of an event, you can talk about the probability of a particular outcome, that is, its potential.
Learn more about probability here: brainly.com/question/24756209
#SPJ4
Answer:
For this case the confidence interval is given by :

Step-by-step explanation:
Data provided
represent the sample mean for the fuel efficiencies
population mean
s=2.51 represent the sample standard deviation
n=601 represent the sample size
Confidence interval
The formula for the confidence interval of the true mean is given by:
(1)
The degrees of freedom for this case is given by:
The Confidence level for this case is 0.95 or 95%, and the significance level
and
and the critical value is given by
Replcing into the formula for the confidence interval is given by:
For this case the confidence interval is given by :
