Answer:
70 kg is 154.3 lbs.
Step-by-step explanation:
There is 0.453592 kilograms per pound. That is just the conversion rate.
To find how many lbs 70 kg is, we do 70/0.453592 which is 154.3236.
The correlation coefficient is a number that indicates the direction
and closeness of points of a line of best of fit.
So it tells us two things.
It tells us the direction of the line of best fit
and it tells us the closeness of the points.
Usually, anything between -0.9 and -0.6 has a moderate negative correlation. If you look at this on a graph, you will notice that the points definitely resemble a line so we say it's moderate.
It will be a negative correlation because the slope is negative.
Using the table, we will see that the function is:
t(l) = 3*l
<h3>
How to write the function?</h3>
Here we only have a table to work with, so we need to use that.
In the table, we can see the pairs:
- t(1) = 3
- t(2) = 6
- t(3) = 9
- t(4) = 12
So, in each new level, we just add 3 more toothpicks. Even more, we can see that the number of toothpicks is 3 times the value of l (the level) for all the cases in the table. So this is a linear function.
From that we can conclude that the function will be:
t(l) = 3*l
If you want to learn more about linear functions, you can read:
brainly.com/question/4025726
One gallon is equivalent to 128 fluid ounces
3 gallons is equivalent to 3*128 fluid ounces
= 384 fluid ounces
One plastic cup can hold 12 guide ounces
So cups needed will be 384/12
32 cups
Answer:
0.762 = 76.2% probability that this shipment is accepted
Step-by-step explanation:
For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
17 randomly selected pens
This means that 
(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)
This is
when
. So






0.762 = 76.2% probability that this shipment is accepted