Answer:
3.78541
Step-by-step explanation:
but if not technical it is 4
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Answer:
Step-by-step explanation:
This is a test of 2 population proportions. Let 1 and 2 be the subscript for the men and women who own cats respectively. The population proportion of men and women who own cats would be p1 and p2 respectively.
p1 - p2 = difference in the proportion of men and women who own cats.
The null hypothesis is
H0 : p1 = p2
p1 - p2 = 0
The alternative hypothesis is
Ha : p1 ≠ p2
p1 - p2 ≠ 0
it is a two tailed test
Sample proportion = x/n
Where
x represents number of success
n represents number of samples
For men
n1 = 80
p1 = 55/100 = 0.55
x1 = p1n1 = 0.55 × 80 = 44
For women,
n2 = 100
p2 = 30/100 = 0.3
x2 = p2n2 = 0.3 × 100 = 30
The pooled proportion, pc is
pc = (x1 + x2)/(n1 + n2)
pc = (44 + 30)/(80 + 100) = 0.41
1 - pc = 1 - 0.41 = 0.59
z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)
z = (0.55 - 0.3)/√(0.41)(0.59)(1/80 + 1/100) = 3.39
Test statistic = 3.39
Answer:1. The measure of angle P is 53. 2. The value of x is 25.
3. The length of each side of the triangle is 30 cm.
Step-by-step explanation:
1. (3x +2) + (3x + 2 ) + (5x -11) =180 Angle Q and P have the same measures because it is an isosceles triangle that is why you have three expressions.
So x =17 and 3(17)+ 2 =53
2. (2x +10) + (2x+10) + (2x + 10)= 180 this is because the second triangle is an equilateral triangle which means all it have the same measures.
solve for x. and x is 25.
3.The third triangle is also an equilateral triangle so you will make the expressions equal each other and solve for y .
1/10y + 11= 3/5y -4
y= 30
