What is the common difference of 24, 14, 4,...
2 answers:
<h3>Answer:</h3>
-10
<h3>Step-by-step explanation:</h3>In the question, it is asking you to find the common difference between the numbers 24, 14, 4,...
In order to find the common difference between the numbers, we would nee to find the change between them.
In other words, we need to find out how much it's changing by between each number.
When you look at the sequence 24, 14, 4, you would know that it is decreasing each time. This means that the common difference would be a negative number.
Now, we need to figure out how much it is decreasing by.
When you subtract 24 and 14, , you would get 10. When you subtract 24 by 10, you would get 14. So we know that the difference would be -10.
We can also check the next number. When you subtract 14 by 4, , you would get 10. Then, when you subtract 14 by 10, you would get 4.
This means that the <u>common difference</u> of the sequence is -10
<h3>I hope this helps you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>You might be interested in
Ok
y=-0.04x^2+8.3x+4.3
when the rocket reaches the ground (when height=0, ie when y=0), then the rocket will land, find the x coordinate
set y=0
0=-0.04x^2+8.3x+4.3
use quadratic formula
if you have ax^2+bx+c=0, then
x=
a=-0.04
b=8.3
c=4.3
x=
x=208.017 or -0.516785
xrepresents horizontal distance
you cannot have a negative horizontal distance unless you fired and theh wind blew it backwards
therefor x=280.017 is the answer
208.02 m
y=-0.04x^2+8.3x+4.3
when the rocket reaches the ground (when height=0, ie when y=0), then the rocket will land, find the x coordinate
set y=0
0=-0.04x^2+8.3x+4.3
use quadratic formula
if you have ax^2+bx+c=0, then
x=
a=-0.04
b=8.3
c=4.3
x=
x=208.017 or -0.516785
xrepresents horizontal distance
you cannot have a negative horizontal distance unless you fired and theh wind blew it backwards
therefor x=280.017 is the answer
208.02 m
Answer:
0.3968 = 39.68% probability this shipment passes inspection.
Step-by-step explanation:
The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
50 parts means that
4 defective means that
10 are chosen, which means that
What is the probability this shipment passes inspection?
Probability that none is defective, so:
0.3968 = 39.68% probability this shipment passes inspection.