Answer:
-7.90
Step-by-step explanation:
Let's write the null hypothesis (H0) and alternative hypothesis (Ha) from the claim statement
P = population proportion of adults who would erase all of their personal information online if they could
H_{0}:P=0.5
H1 P< 0.5
Let's write the given information:
n = sample size = 480
sample proportion = 
formula of z test statistic for one sample proportion test is as follows:
plug the above values in the above formula we get
So that the test statistic value is -7.90 (Rounded up to two decimal places)
So a general harmonic equation is Asin(2πt/T). Little t is just a variable. 6 inches is the height of one maximum and one minimum from equilibrium, so that is the amplitude A. T is the period, or the time of one cycle (or wavelength), which is 2 seconds.
The equation is therefore (in terms of seconds and inches), 6*sin(2πt/2), or 6*sin(πt).
3 x (2)³ is an expression that's equal to 24 .
Answer:
The probability is 1/9
Step-by-step explanation:
The probability of rolling a 5 the first time is 1/6
The probability of rolling a number greater than 2
Numbers greater than 2 are 3, 4, 5, 6
So the probability of rolling a number out of these four is 4/6
So the probability of rolling a five for the first time and the probability of rolling a number greater than 2 the second time will be
1/6 * 4/6 = 4/36 = 1/9
Answer:
y - x = - 2 b
Step-by-step explanation:
Given-
3 x + 2 y = 5 a + b...................(i)
4 x - 3 y = a + 7 b.....................(ii)
<em><u>Multiply by 3 and 2 in equation (i) & (ii) respectively-</u></em>
<em><u>Add equation (iii) & (iv)-</u></em>
9 x + 6 y = 15 a + 3 a...................(iii)
<u>8 x - 6 y = 2 a + 14 b</u> ...................(iv)
17 x = 17 a + 17 b
<u>x = a + b</u>
Put x = a + b in equation (i)-
<em>2 y = 5 a + b - 3 a - 3 b</em>
<em>2 y = 2 a - 2 b</em>
<u>y = a - b </u>
<em>∴ y - x = a - b - ( a + b )</em>
<em>y - x = a - b - a - b</em>
y - x = - 2 b
