Answer:
+1.12 and -1.12
Step-by-step explanation:
Let the two z scores be
.
Since the two Z-scores that separate the middle 73.72% on the Standard Normal Curve, this can be represented by the equation:

From the z table of the normal distribution, z₁ = 1.12. That is a z score of 1.12 gives 0.8686.
The two z scores are +1.12 and -1.12 = ± 1.12
Answer:
x= 0 ,
, 
Step-by-step explanation:
Given, equation is
+
=
. →→→ (1)
Now, by cubing the equation on both sides, we get
(
+
)³ = (
)³
⇒ (15x-1) + (13x+1) + 3×
×
(
+
) = 64 x.
⇒ 28x + 3×
×
(
) = 64x.
(since from (1),
+
=
)
⇒ 12×
×
(
)= 36x.
⇒ 3x =
.
Now, once again cubing on both sides, we get
(3x)³ = (
)³.
⇒ 27x³ = (15x-1)(13x+1)(x).
⇒ 27x³ = 195x³ + 2x² - x
⇒ 168x³ + 2x² - x = 0
⇒ x(168x² + 2x -1) = 0
⇒ by, solving the equation we get ,
x = 0 ; x =
; x = 
therefore, solution is x= 0 ,
, 
Answer

Step-by-step explanation:

Answer:
75cm
Step-by-step explanation:
Well, I can't see a photo, so I'll have to assume that the description provides enough info.
10cm/2km = x/15km,
where x is the distance on the map (in centimeters) of a real-life distance of 15 kilometers.
10cm/2km = x/15km
10/2 = 5/1
This means we have to multiply 5 by 15 to find x.
x = 5 · 15
x = 75
Let's plug the new value back in...
10cm/2km = x/15km
10cm/2km = (75cm)/15km
<em>(Simplify each side to its simplest form)</em>
10cm/2km = 75cm/15km
5/1 = 5/1
It works! So x = 75cm.
Hope this helps! :)
Answer:
y = 3
Step-by-step explanation:

Combine like terms

Move all terms not containing y to the right side of the equation.

Divide both sides by 2
y = 3
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I hope this helped!!