Answer:
a1 = 1/4
a2 = 1/2
a3 = 3/4
a4 = 1
Step-by-step explanation:
an = a/n
then when a= 1, 2, 3, 4
a1 = 1/4
a2 = 2/4 = 1/2
a3 = 3/4
a4 = 4/4 = 1
Answer:
The minimum sample needed to provide a margin of error of 3 or less is 52.
Step-by-step explanation:
The confidence interval for population mean (<em>μ</em>) is:
The margin of error is:
<u>Given:</u>
MOE = 3
<em>σ </em>= 11
The critical value for 95% confidence interval is: 
**Use the <em>z</em>-table for critical values.
Compute the sample size (<em>n</em>) as follows:
Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.
Answer: 200 kcal
SOLUTION
Given,
A bottle of drink has four eight-ounce (1-cup) servings per
bottle.
There are 50 kcal per cup
Amount of kcal per bottle = ?
1 bottle = 4 cups
1 cup = 50 kcal
1 bottle = 4 cups = 4 x 50 kcal
1 bottle = 4 cups = 200 kcal
Therefore, there are 200 kcal in the whole bottle
Answer (x,y) (3, -2)
Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we
can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
