4, 9, 14, 19, 24, 29.....
A)4+5n;504
B)5n-1; 499
C) 5n; 500
D) 4n+5; 405
Answer:
Option B is correct
; 499
Step-by-step explanation:
The nth term for the arithmetic sequence is given by:
....[1]
where,
is the first term
d is the common difference of two successive terms
n is the number of terms.
As per the statement:
4, 9, 14, 19, 24, 29.....
This is a arithmetic sequence.
Here, and d =5
Since,
9-4 = 5,
14-9 =5,
19-14 = 5 and son on....
Substitute the given values in [1] we have;
⇒
⇒
We have to find the 100th term in the given sequence.
For n= 100
⇒
Therefore, an expression to describe a rule of the sequence is, and the 100th term in the sequence is 499
Answer:
-7 = -3x + b
Step-by-step explanation:
i'm guessing because you have not provided a visual so i can not determine the B.
1. is A
2. is B
3. is C
4. is D
The required whisker plot of the data is given by A . Option A is correct.
A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value. Horizontal lines on both sides of the rectangle show the lower and upper quartiles.
Here,
To create a box and whisker plot, we first need to find the minimum and maximum values, the median, and the first and third quartiles of the data set.
The minimum value is 13, and the maximum value is 27. To find the median, we first need to order the data set from smallest to largest:
13, 13, 20, 21, 21, 22, 24, 27
The median is the middle value, which in this case is the average of the two middle values: (21 + 21) / 2 = 21.
To find the first and third quartiles, we divide the data set into two halves at the median and find the median of each half. The first quartile (Q1) is the median of the lower half, and the third quartile (Q3) is the median of the upper half.
Lower half: 13, 13, 20, 21
Upper half: 21, 22, 24, 27
Q1 = (13 + 20) / 2 = 16.5
Q3 = (22 + 24) / 2 = 23
Thus, from the above calculation, the required whisker plot of the data is given by A . Option A is correct.
Learn more about box plots here:
#SPJ6
Answer:
Equations are
J=j → (1)
L=$2.90+J=$2.90+j → (2)
Jess earn $20j in 20 hours
Step-by-step explanation:
Given that Laura earns $2.90 more per hour than her friend, Jess.
we have to write an equation to show Jess earns per hour.
As j represents hourly rate of Jess i.e
Jess earns $j per hour.
∴ J=j → (1)
As Laura earns $2.90 more per hour than her friend, Jess
⇒ L=$2.90+J=$2.90+j → (2)
Eq (1) and (2) are required equation.
we have to find how much Jess earn in 20 hours
Hours=20
∴ In 1 hr Jess earn $j
In 20 hrs Jess earn $ 20j