Answer:
Option b
Step-by-step explanation:
Given that the time that a skier takes on a downhill course has a normal distribution with a mean of 12.3 minutes and standard deviation of 0.4 minutes.
If X is the time that the skier takes then
X is N(12.3,0.4)
To convert this to Z score we can use the following
The probability that on a random run the skier takes between 12.1 and 12.5 minutes
=
=0.383
Option b is right.
Answer:
SM = 13
Step-by-step explanation:
M is the midpoint of ST, then
SM = MT , that is
2x + 3 = 4x - 7 ( subtract 4x from both sides )
- 2x + 3 = - 7 ( subtract 3 from both sides )
- 2x = - 10 ( divide both sides by - 2 )
x = 5
Then
SM = 2x + 3 = 2(5) + 3 = 10 + 3 = 13
The equation of a line in slope-intercept form is equal to
y=mx+b
where
m is the slope
b is the y-intercept
we have
m=-5/2
point (4,-3)
substitute in the expression above
-3=-(5/2)(4)+b
solve for b
-3=-10+b
b=10-3
b=7
therefore
the equation of the line is
<h2>y=-(5/2)x+7</h2>
Part A)
we know that
<span>scale ----------> inch/4 feet=0.25 in/ft
</span>[scale]=[scale drawing]/[actual]
[actual]=[scale drawing]/[scale]
for <span>length --------> 4 1/2 in ---------> 4.5 in (</span>scale drawing)
[actual]=[4.5]/[0.25]=18 ft
for <span>width ---------> 3 3/8 in</span> ---> (3*8+3)/8 ---> 27/8 in (scale drawing)
[actual]=[27/8]/[0.25]=13.5 ft
the answer part A is
length actual <span>kitchen floor is 18 ft
</span>width actual kitchen floor is 13.5 ft
Part B)
the area of one square in the actual=(1/2)*(1/2)=0.25 ft²
total area gray tiles=0.25*14=3.5 ft²
total area white tiles=0.25*10=2.5 ft²
find <span>how many tiles 2 in by 2 in of each color will he need
1ft</span>²-------------> 144 in²
gray tiles
3.5 ft²---------------> 3.5*144=504 in²
[tiles 2 in by 2 in gray]=504/(2*2)=126 gray tiles
white tiles
2.5 ft²---------------> 2.5*144=360 in²
[tiles 2 in by 2 in white]=360/(2*2)=90 white tiles
the answer Part B) is
126 gray tiles
90 white tiles