Hello!
Here are the steps to find your answer:
8(4 - x) = 7x + 2
32 - 8x = 7x + 2
32 - 2 = 7x + 8x
30 = 15x
2 = x
x = 2
I hope this helps you! Have a lovely day!
- Mal
Answer:
The answer would be 'B' , a reflection.
Step-by-step explanation:
Helena already did the rotation which moves clock wises, so to get both shapes congruent it would have to be reflected vertically therefore the answer would be 'B'.
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:
$21.65
brainliest?
Step-by-step explanation:
1 yard = 3 feet
so 5 feet would = to 1 2/3 yards = 5/3 yards
12.99*5/3
12 99/100=1299/100
1299/100 x 5/3=433/20
433/20 = 21 13/20
13/20 x 5/5= 65/100=0.65
0.65+21
$21.65
hope this helped!
have a good day!
Answer:

Step-by-step explanation: