Answer:
first option
Step-by-step explanation:
Given
area = 15x - 9 ← factor out 3 from each term
= 3(5x - 3)
Thus the dimensions are 3 by (5x - 3)
Answer:
1 mile = 1,609 meters is the key to converting the rates of the two swimmers
Step-by-step explanation:
there are 60 seconds in a minute and 60 minutes in an hour
so 1.8 meters/sec x 60 sec/min x 60 min/hr = 6480 meters/hr
now we convert meters to miles
6480 meters/1 hr x 1 mile/1609 meters = roughly 4 miles/hr (4.027)
or we can convert the other rate to meters/sec
2.5 mi/hr x 1hr/60 min x 1min/60 sec = 0.00069444 mi/sec
then convert miles to meters
0.00069444 mi/sec x 1609meters/ 1mi = roughly 1.1 meters/sec (1.117)
Answer:
y = -2x + 8
Step-by-step explanation:
The point slope form of an equation is written as
y = mx + c ...............(i)
Where m is the slope and c is the constant
Now we Know that the equation is
y + 2 = -2(x-5)
and the given points are
m= -2
x = 5
and y= -2
Putting these values in equation (i) to find the value of c
y = mx + c
it becomes
-2 = -2(5) + c
-2 = -10 + c
Adding 10 on both sides
-2 + 10 = -10 + 10 + c
8 = c
or c=8
Now we have the values of m and c
where m= -2 and c = 8
Point slope form of an equation is
y = mx + c
putting the values of m and c to get equation in slope intercept form is
y = (-2)x + 8
or
y = -2x + 8
Other method:
The given point slope form is
y + 2 = -2(x-5)
We have to change it in y= mx + c form
so solving it
y + 2 = -2x + 10
Subtracting 2 from both sides
y + 2 -2 = -2x + 10 -2
y = -2x + 8
which is same is
y=mx + c
so the required equation is
y = -2x + 8
Answer:
The 90% confidence interval is (0.1897, 0.2285).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
Z is the zscore that has a pvalue of 
For this problem, we have that:
From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-cigarette) in the past week. This means that 
Construct a 90% confidence interval to estimate the population proportion of Americans age 18-29 who vaped in the past week.
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval is (0.1897, 0.2285).
Answer:
yes I see also csk CRICKET . CSK TEAM IS OP