9514 1404 393
Answer:
-2018
Step-by-step explanation:
The n-th term is ...
an = a1 +d(n -1)
So, the given terms are ...
-53 = a1 +12d
-128 = a1 +37d
Subtracting the first from the second gives ...
(a1 +37d) -(a1 +12d) = (-128) -(-53)
25d = -75
d = -3
The 668th term will be ...
a668 = a1 +d(668 -1) = a1 +667d = (a1 +37d) +630d
a668 = -128 +630(-3) = -128 -1890 . . . . substitute for a38
a668 = -2018
Answer:
Fruit smoothie: $3.4
Protein bar: $2.5
Step-by-step explanation:
Let x represent cost of fruit smoothie and y represent cost of protein bar.
We have been given that Jake buys a fruit smoothie and a protein bar for $5.90. We can represent this information in an equation as:
We are also told that Kobe buys 2 fruit smoothies and 4 protein bars. He pays $16.80. We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, each protein bar costs $2.5.
Upon substituting 
in equation (1), we will get:
Therefore, each fruit smoothie costs $3.4.
Answer:
The equation is: y y = 5/4 * x - 13
Step-by-step explanation:
The slope-intercept y = mx + c form of a straight line is In this case we have a point, (x, y) and the slope, m so all we need is a value for c. Substitute into y = mx + c - 3 = 5/4 * (8) + c - 3 = 10 + c c = - 13 y = 5/4 * x - 13 The equation is: y the formula for the situation have a point, (x 1 ,y 1 ) and the slope, Or you can use where you (m) y-y 1 =m(x-x 1 ) y - (- 3) = 5/4 * (x - 8) y + 3 = 5/4 * x - 10 y = 5/4 * x - 13 Answer link < II
Part 1:
The pattern for the first sequence goes by the multiples of 12 and you can show your work by adding 12 to the following number. Example:
12 + 12 = 24
24 + 12 = 36
36 + 12 = 48
and go on...
The pattern for the second is one is that you have to multiply by 2. Example:
3 × 2 = 6
6 × 2 = 12
12 × 2 = 24
Part 2:
You would do the same steps shown above. Add twelve to the following number which is 60. So, 60 + 12 = 72.
You would also need to multiply 2 and 96 since its the given number. 96 × 2 =192.
Part 3:
The first sequence is an arithmetic sequence because the number 12 is constantly being added.
The second sequence is a geometric sequence because 2 is constantly being multiplied.
I hope this helps!
Answer:
Value of test statistics = 2.30
Step-by-step explanation:
We are given that for a sample of 35 items from a population for which the standard deviation is 20.5, the sample mean is 458.
Also, Null Hypothesis, 
: 
= 450
Alternate Hypothesis, 
: 
450
The test statistics that will be used here is One sample t-test statistics;
T.S. = 
~ 
where, 
= sample mean = 458
s = sample standard deviation = 20.5
n = sample of items = 35
So, test statistics = 
~ 
= 2.30
Therefore, the value of test statistics is 2.30 .
