Answer:
y = -2x + 16.
Step-by-step explanation:
We are given the slope and a point on the line, so
we use the point-slope form of a straight line:
y - y1 = m(x - x1)
Here gradient m = -2, x1 = 4 and y1 = 8 , so we have:
y - 8 = -2(x - 4)
y - 8 = -2x + 8
y = -2x + 16.
From the given graph, we can tell kl=lm
therefore,
3x + 2 = 5x - 10
3x+2-2=5x-10-2
subtract 2 from both sides.
3x+ 0 =5x-12
3x=5x-12
3x-5x=5x-5x-12
subtract 5x from both sides.
-2x=0-12
-2x=-12
(-2x)/-2=-12/-2
divide both sides by -2.
1x= 6 -12/-2=6
and of course the -2 and -2 cancel on left side leaving 1x.
x=6
KL = 3x+2 = 20 units
Given:

To find:
The value of
.
Solution:
We know that,
...(i)
Where n is an integer.
We have,

Using (i), it can be written as


It is given that
.


Therefore, the value of the given function expression is
.
Answer:
Step-by-step explanation:
Given that in an investigation of pregnancy-induced hypertension, one group of women with this disorder was treated with low-dose aspirin, and a second group was given a placebo. A sample consisting of 50 women who received aspirin has mean arterial blood pressure 120mmHg and standard deviation 10mmHg; a sample of 42 women who were given the placebo has mean blood pressure 115mmHg and standard deviation 12mmHg.
Population variances are equal

(two tailed test at 5% significance level)
Here x denotes group I and Y group II
N Mean StDev SE Mean
Sample 1 50 120 10 1.4142
Sample 2 42 115 12 1.8516
Pooled std deviation = 10.9565
df=80
Mean difference= 5
Test statistic t = mean diff/std error =
=2.1803
p value = 0.0318
since p <0.05 we reject H0
b) We find p >0.01 hence at 1% significance level we accept H0
This implies that 99% confidence interval contains mean difference =0