Answer:
length = 22
width = 13
Step-by-step explanation:
Perimeter of a rectangle is given by the formula
P =2(l+w)
we know the length is x
width is x-9
P =70
Substituting this into the equation
70 = 2(x+x-9)
Combining like terms
70=2(2x-9)
Distributing the 2
70 = 4x-18
Adding 18 to each side
70+18 = 4x-18+18
88 = 4x
Divide by 4
88/4 = 4x/4
22= x
we know the length is x
length = 22
width is x-9
width = 22-9= 13
Answer:
Mean = 3.4
Variance = 1.088
Standard deviation = 1.0431
Step-by-step explanation:

The mean of a binomial distribution with parameters N (the number of trials) and p (the probability of success for each trial) is 
Thus,

The variance of the binomial distribution is
, where
is the variance of the binomial distribution, so

The standard deviation
is the square root of the variance
so

Answer:
y= 3/5x + 1
Step-by-step explanation:
Slope intercept form is modeled by the equation y=mx+b.
M = slope, while B = y-intercept.
The y-intercept in this scenario equals (0, 1) or just simply 1.
The slope equals 3/5. This can be found with rise/run or y/x.
Answer:
test statistic is ≈ -0.36
p-value is ≈ 0.64
There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.
Step-by-step explanation:
a hypothesis test where H_0: mu = 235 and H_1:mu > 235
test statistic can be calculated as follows:
z=
where
- sample mean driving distance (233.8 yards)
- M is the average expected distance that the average golfer can hit the ball under null hypothesis. (235 yards)
- s is the standard deviation (46.6 yards)
- N is the sample size (192)
Then test statistic is z=
=-0.3568
p-value is 0.64 >0.05
There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.
Answer:
1.75 liters for each car.
Step-by-step explanation:
Divide:
*7 / 4 = 1.75.
Check:
*1.75 x 4 = 7.