Answer: it never changes.
Step-by-step explanation: have a nice day
Answer:
Step-by-step explanation:
Hello!
The study variable is:
X: number of customers that recognize a new product out of 120.
There are two possible recordable outcomes for this variable, the customer can either "recognize the new product" or " don't recognize the new product". The number of trials is fixed, assuming that each customer is independent of the others and the probability of success is the same for all customers, p= 0.6, then we can say this variable has a binomial distribution.
The sample proportion obtained is:
p'= 54/120= 0.45
Considering that the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample proportion to normal: p' ≈ N(p;)
The other conditions for this approximation are also met: (n*p)≥5 and (n*q)≥5
The probability of getting the calculated sample proportion, or lower is:
P(X≤0.45)= P(Z≤)= P(Z≤-3.35)= 0.000
This type of problem is for the sample proportion.
I hope this helps!
The linear equation that has a slope of -7 and crosses the x-axis at (3, 0) is:
y = -7x + 21
<h3>
How to find the linear equation?</h3>
A general linear equation is:
y = a*x +b
Where a is the slope and b is the y-intercept.
The slope must be equal to the limit found in part a, and you say that it is equal to -7, so the slope is -7. And for how is written the problem, I understand that it crosses the x-axis at x = 3.
Then we will have:
y = -7*x + b
Such that, when x = 3, y = 0, then:
0 = -7*3 + b
21 = b
Then the linear equation is y = -7x + 21
If you want to learn more about linear equations:
brainly.com/question/1884491
#SPJ1
Answer:
40000
Step-by-step explanation:
4×10^4 = 4×10000 = 40000
The labor fee is $13.55 and each quart of oil is $2.25
Step-by-step explanation:
Let,
x be the amount of each quart of oil
y be the amount of labor fee
According to given statement;
5x+y=24.80 Eqn 1
7x+y=29.30 Eqn 2
Subtracting Eqn 1 from Eqn 2
Dividing both sides by 2
Putting x=2.25 in Eqn 1
The labor fee is $13.55 and each quart of oil is $2.25
Keywords: linear equation, subtraction
Learn more about subtraction at:
#LearnwithBrainly