Answer:
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
Step-by-step explanation:
A confidence interval for a population proportion is a function of the sample proportion and the margin of error.
The interval has two bounds, a lower bound and an upper bound.
The lower bound is the sample proportion subtracted by the margin of error.
The upper bound is the margin of error added to the sample proportion.
In this problem, we have that:
Sample proportion 0.08
Margin of error 0.01
0.08 - 0.01 = 0.07
0.08 + 0.01 = 0.09
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
He must get a 65 as a minimum grade on his third test to get an average of 70.
Equation is
85 + 60 + x
------------------- greater than or equal to 70
3
Answer:
47 weeks
Step-by-step explanation:
you multiply 20 times 5 because he makes 5 dollars and hour and works 20 hours a week, so then you get 100. so he makes 100 dollars in a week. then you divide 100 by 4650 and get 46.5 which rounded up is 47. so he needs to work 47 weeks.
Answer:
1. 180
2. x = 31
Step-by-step explanation:
1. the sum of the interior angles of every triangle is always 180
2. using what we know from problem 1, we can create an equation:
x + 10 + 2x - 5 + 2x + 20 = 180
add like terms: 5x + 25 = 180
subtract 25 from both sides: 5x = 155
divide both sides by 5: x = 31
The new exponential equations to represent Alison, Cindy, and Javier would be 1/(1+e^-x) representing an s curve showing a lot of growth.
<h3>What is an exponential equation?</h3>
The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}.
Here, he new exponential equations to represent Alison, Cindy, and Javier would be 1/(1+e^-x) representing an s curve showing a lot of growth while Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
