Answer:
a.y'=-1
b.y'=-1
c.Yes
Step-by-step explanation:
We are given that consider a function
Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable
Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.
a.
Differentiate w.r.t x then we get
b.
Differentiate w.r.t x then we get
When we substituting the value of y obtained from part b into a solution of part a then we get
Hence, solutions are consistent.
Answer:
P(2.5≤X≤4) = 0,3125
Step-by-step explanation:
We know that the area under the curve of ANY probability distribution should not be greater than 1.
In this case, we now that 4P = 1, therefore, P=1/4. Where 'P' represents the height of the rectangle that represents the probability distribution.
The probability of P(2.5≤X≤4) will be given by the area of the following rectangle:
(4 - 2.5) × 1,5 = 0,3125
Therefore, P(2.5≤X≤4) = 0,3125
Answer:
meghan has 30 stickers
Step-by-step explanation:
5x3=15 double is 30
Answer:
z= 3.63
z for significance level = 0.05 is ± 1.645
Step-by-step explanation:
Here p = 42% = 0.42
n= 500
We formulate our null and alternative hypotheses as
H0: p= 0.42 against Ha : p> 0.42 One tailed test
From this we can find q which is equal to 1-p= 1-0.42 = 0.58
Taking p`= 0.5
Now using the z test
z= p`- p/ √p(1-p)/n
Putting the values
z= 0.5- 0.42/ √0.42*0.58/500
z= 0.5- 0.42/ 0.0220
z= 3.63
For one tailed test the value of z for significance level = 0.05 is ± 1.645
Since the calculated value does not fall in the critical region we reject our null hypothesis and accept the alternative hypothesis that more than 42% people owned cats.
Answer: Yes, 2.125 is a rational number.
Step-by-step explanation:
