Answer:
Replace x with y and vice versa
Step-by-step explanation:
You have the same graph instead you write y in place of x. The horizontal one is y axis and vice versa. This is done mostly for reversed functions. like x^2 function and √x
Answer:
B -1/2
Step-by-step explanation:
4x+8y = 11
We need to get the equation in the slope intercept form
y = mx+b where m is the slope and b is the y intercept
Subtract 4x from each side
4x-4x+8y = -4x+11
8y = -4x+11
Divide by 8
8y/8 = -4x/8 +11/8
y = -1/2x +11/8
The slope is -1/2 and the y intercept is 11/8
Answer:

And we can assume a normal distribution and then we can solve the problem with the z score formula given by:

And replacing we got:


We can find the probability of interest using the normal standard table and with the following difference:

Step-by-step explanation:
Let X the random variable who represent the expense and we assume the following parameters:

And for this case we want to find the percent of his expense between 38.6 and 57.8 so we want this probability:

And we can assume a normal distribution and then we can solve the problem with the z score formula given by:

And replacing we got:


We can find the probability of interest using the normal standard table and with the following difference:

Answer:
a) 8*88*10⁻⁶ ( 0.00088 %)
b) 0.2137 (21.37%)
Step-by-step explanation:
if the test contains 25 questions and each questions is independent of the others, then the random variable X= answer "x" questions correctly , has a binomial probability distribution. Then
P(X=x)= n!/((n-x)!*x!)*p^x*(1-p)^(n-x)
where
n= total number of questions= 25
p= probability of getting a question right = 1/4
then
a) P(x=n) = p^n = (1/4)²⁵ = 8*88*10⁻⁶ ( 0.00088 %)
b) P(x<5)= F(5)
where F(x) is the cumulative binomial probability distribution- Then from tables
P(x<5)= F(5)= 0.2137 (21.37%)
i send u a picture of how i solve it. i hope this can help u