Answer:
240 cents
Step-by-step explanation:
Given that,
cost of one lollipop = 65 cents
total amount Josie need to paid = 65 * 4 cents = 260 cents
amount Josie gave = $5
As we know
$1 = 100 cents
$5 = 100 * 5 cents
= 500 cents
number of cents Josie will get back
500 - 260
240 cents or $2.40
So, Josie will get 240 cents back
If "a" and "b" are two values of x-coordinate, and "m" is the midpoint between them, it means the distance from one end to the midpoint is the same as the distance from the midpoint to the other end
... a-m = m-b
When we add m+b to this equation, we get
... a+b = 2m
Solving for m gives
... m = (a+b)/2
This applies to y-coordinates as well. So ...
... The midpoint between (x1, y1) and (x2, y2) is ((x1+x2)/2, (y1+y2)/2)
_____
Jennifer had (x1, y1) = (-4, 10) and (x2, y2) = (-2, 6). So her calculation would be
... midpoint = ((-4-2)/2, (10+6)/2) = (-6/2, 16/2) = (-3, 8)
Brandon had (x1, y1) = (9, -4) and (x2, y2) = (-12, 8). So his calculation would be
... midpoint = ((9-12)/2, (-4+8)/2) = (-3/2, 4/2) = (-1.5, 2)
Answer:
21.759
Step-by-step explanation:
Given that :
Mean (m) = 25
Standard deviation (s) = 12.5
Sample size (n) = 40
α = 90%
The confidence interval is obtained using the relation:
Mean ± Zcritical * s/sqrt(n)
Zcritical at 90% confidence interval = 1.64
25 ± 1.64 * (12.5/sqrt(40))
Lower boundary : 25 - 1.64(1.9764235) = 21.75866546
Upper boundary : 25 + 1.64(1.9764235) = 28.24133454
(21.759, 28.241)
Hence, lower bound of confidence interval is : 21.759
Answer:
See below.
Step-by-step explanation:
There is an infinite n umber of systems of equations that has (1, 4) as its solution. Are you given choices? Try x = 1 and y = 4 in each equation of the choices. The set of two equations that are true when those values of x and y are used is the answer.
Answer:
x = 16
Step-by-step explanation:
Since the numbers are in ascending order, x is the number with the highest value here.
From the arrangement, we can see that the median (the middle number) is the third number which is 9
The mean is the sum of the numbers divided by their count. So we set up the mean and equate to the median
We have this as;
(1 + 9 + 9 + 10 + x)/5 = 9
29 + x = 5(9)
29 + x = 45
x = 45-29
x = 16
