Answer:
5.13
Step-by-step explanation:
Number of sampled workers= n= 1000
Percentage of residents favouring construction= p' = 60% = 60/100= 0.6.
Testing the claim that the percentage of people favouring the construction is more than 56%= p= 56/100 = 0.56.
To calculate the test statistics we use the formula below;
Test statistics= √n (p' - p)/ √[p×(1-p)] -----------(1).
Substituting the value into equation (1) above, we have;
Test statistics= √1000 (0.6-0.56) / √[0.56×(1-0.56)]
Test statistics= (31.62)(0.04) / √0.5(0.44) = 1.2648/ 0.2464
Test statistics= 5.13312
= 5.13 (to 2 decimal places)
Roger is going to invite 12 girls and only 4 boys
Since 16 is divided by four, we can take three groups of four to represent the girls
And one group of four to represent the boys.
175m^2
I got the by multiplying 1/2, by the base (14), by the height (25).
1/2 * 14 * 25
From what I imagine in the problem description, the toy is located on the ground. Then, Belkis is pulling on the string to keep the toy moving just like how you put a leash on a dog. My illustration is shown in the picture. The F arrow is where Belkis pulls it. Its component vectors are Fx and Fy, as shown.
From the figure, we can see that it forms a right triangle. So, it makes it easy because the pythagorean theorems are applicable and we can easily use trigonometric functions. First, let's determine Fy which is located opposite to the angle. Since we know the hypotenuse F to be 1.5 N, so we use the sine function:
sin 52° = Fy/F = Fy/1.5
Fy = 1.182 NFor the horizontal component, Fx is parallel to the adjacent side with respect to the angle. Thus, we use the cosine function.
cos 52° = Fx/F = Fx/1.5
Fx = 0.923 N