<em>There is no specific requirement in the question, but I'm assuming you need to compute the time needed for Alexis reach 1,000,000 Instagram followers</em>
Answer:
Step-by-step explanation:
<u>Exponential Growth
</u>
When the number of observed elements grows as the previous value multiplied by a constant ratio, we have exponential growth. The formula to model such situations is
Where 
is the initial value of f, 1 + r is the constant ratio, and t is the time expressed in half days (12 hours)
The initial value is 100 Instant followers, thus:
We need to know when the number of followers will reach 1,000,000. Setting up the equation
Simplifying by 100
Taking logarithms
Solving for t
periods of 12 hrs
Answer:
C. H0 : p = 0.8 H 1 : p ≠ 0.8
The test is:_____.
c. two-tailed
The test statistic is:______p ± z (base alpha by 2) 
The p-value is:_____. 0.09887
Based on this we:_____.
B. Reject the null hypothesis.
Step-by-step explanation:
We formulate null and alternative hypotheses as proportion of people who own cats is significantly different than 80%.
H0 : p = 0.8 H 1 : p ≠ 0.8
The alternative hypothesis H1 is that the 80% of the proportion is different and null hypothesis is , it is same.
For a two tailed test for significance level = 0.2 we have critical value ± 1.28.
We have alpha equal to 0.2 for a two tailed test . We divided alpha with 2 to get the answer for a two tailed test. When divided by two it gives 0.1 and the corresponding value is ± 1.28
The test statistic is
p ± z (base alpha by 2)
Where p = 0.8 , q = 1-p= 1-0.8= 0.2
n= 200
Putting the values
0.8 ± 1.28 
0.8 ± 0.03620
0.8362, 0.7638
As the calculated value of z lies within the critical region we reject the null hypothesis.
Answer:
16, -16, 14, and -14
Step-by-step explanation:
The easiest way of solving this question is by setting up an equation. Let's use "n" to represent any random possible integer.
n (n + 2) = 224
Simplifying:
x^2 + 2n - 224 = 0
(n + 16)(n - 14) = 0
n = -16, 16 or n = -14, 14
<u>Check:</u>
16 * 14 = 224
-16 * -14 = 224
Thus, answers of 16, -16, 14, and -14 all work correctly.
Answer:
x must be greater than -53/14
(im not 100% sure but i think this is correct)
