Answer:
Step-by-step explanation:
Let X denote the random variable that obeys the normal distribution.
Given that:
<u>For morning flights</u>
Mean = 15
standard deviation = 5
Sample size = 10
The Z - score is calculated as:
Z = 3
<u>For evening flights</u>
Mean = 20
standard deviation = 3
Sample size = 10
Z = 3.33
Hence, from the above z-scores, we will realize that the evening flight is more late than usual.
Lets define the variables
x - burger
y - hotdogs
Now lets write our equation
2x+5y=12.75
3x+2y=12.25
Now we solve by subsitution or elimination.
2x+5y=12.75
0.4x+y=2.55
y=-0.4x+2.55
3x+2(-0.4x+2.55)=12.25
3x-0.8x+5.1=12.25
2.2x=7.15
x=3.25
Plug in X
3(3.25)+2y=12.25
9.75+2y=12.25
2y=2.5
y=1.25
Your final answer is 3.25, 1.25
Plug it in to check!
If <u>quadrilaterals</u> WXYZ and BADC are <u>congruent</u>, then their corresponding <u>sides</u> are congruent.
Given that
you can state that
If AD = 4 cm and AB = 6 cm, then WZ = 4 cm and YZ = 6 cm. Opposite rectangle sides are congruent, then XY = 4 cm and WX = 6 cm.
The perimeter of WXYZ is
P = WX + XY + YZ + WZ = 6 + 4 + 6 + 4 = 20 cm.
Answer: 20 cm
QUESTION 1
The given inequality is
We group like terms to get,
This implies that,
or .
We simplify the inequality to get,
or .
We can write this interval notation to get,
.
QUESTION 2
.
We group like terms to get,
.
We split the absolute value sign to get,
or
This implies that,
or
or
or
We can write this interval notation to get,
.
QUESTION 3
The given inequality is
We split the absolute value sign to obtain,
or
This simplifies to
and
and
and
and
We write this in interval form to get,
QUESTION 4
The given inequality is
We split the absolute value sign to get,
or
This simplifies to,
or
This implies that,
or
or
or
We write this in interval notation to get,