Answer:
The 4th term of the linear sequence = 3
Step-by-step explanation:
First term, a = -9
Common difference, d = -5 - (-9)
= -5 + 9
= 4
d = 4
The 4th term of the linear sequence = a + (n - 1)d
where,
n = 4
a + (n - 1)d
= -9 + (4 - 1)4
= -9 + (3)4
= -9 + 12
= 3
The 4th term of the linear sequence = 3
The formula is
R=I/pt
R interest rate?
I interest earned 150
P principle 2000
T time 3 years
R=150÷(2,000×3)
R=0.025 × 100
R=2.5%
Hope it helps!
Answer:
And we can find this probability on this way:
We expect around 68.27% between the two scores provided.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability on this way:
We expect around 68.27% between the two scores provided.
Answer:
Base = 1.5 ft
Step-by-step explanation:
Area = ½ × base × height
9/16 = ½ × base × 3/4
9/16 = 3/8 × base
base = 9/16 × 8/3
base = 3/2
base = 1½ ft
Sold 2/5 in the morning.....leaving 3/5
he sold 3/4 of 3/5 in the afternoon......3/4 * 3/5 = 9/20
2/5 = 8/20
9/20 - 8/20 = 1/20...so he sold 1/20 more in the afternoon.
so if 1/20 = 24, then 20/20 = 24*20 = 480
so he started with 480 cartons