Set up a system of equations first
W: number of women
M: number of men
50=w+m
3m-2=w
Solve in by plugging in one equation into the other
50=(3m-2)+m
50=4m-2
52=4m
m=13
So if m=13 plug it bag into one of the two equations at the beginning
50=13+w
W=37 women
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

well then, so since this equation has that slope therefore

so we're really looking for the equation of a line whose slope is 8/5 and runs through (10,10)

Answer:
a square has 4 sides each of those sides is 19in long perimeter is all around the square so you would add 19+19+19+19=79in
Answer:
Answer down below!
Step-by-step explanation:
1) 10
2) 4
3) 6
----------------
1 ) we know that perimeter = all the sides combined.
- (44 is the given perim.; so therefore if 12x2+10x2=44, 20 is the missing width.
2 ) we know that area = lw.
- 44 is the given area, so therefore if 10x4=40, 4 is the base.
3 ) we know that area = lw.
we need to find the area of the square. 3 x 2 = 6. 6 is the area of the missing square or the part that needs to be covered.
Answer:
a) Alternative hypothesis should be one sided. Because Null and Alternative hypotheses are:
: μ=2.66 dyne-cm.
: μ<2.66 dyne-cm.
b) the hypothesis that mean adhesion is at least 2.66 dyne-cm is true
Step-by-step explanation:
Let μ be the mean adhesion in dyne-cm.
a)
Null and alternative hypotheses are:
: μ=2.66 dyne-cm.
: μ<2.66 dyne-cm.
b)
First we need to calculate test statistic and then the p-value of it.
test statistic of sample mean can be calculated as follows:
t=
where
- M is the mean adhesion assumed under null hypothesis (2.66 dyne-cm)
- s is the standard deviation known (0.7 dyne-cm_2)
Sample mean is the average of 2.69, 5.76, 2.67, 1.62 and 4.12 dyne-cm, that is
≈ 3.37
using the numbers we get
t=
≈ 2.27
The p-value is ≈ 0.043. Taking significance level as 0.05, we can conlude that sample proportion is significantly higher than 2.66 dyne-cm.
Thus, according to the sample the hypothesis that mean adhesion is at least 2.66 dyne-cm is true