Part 1)<span>There are 100 cm in 1 m and 1000 m in 1 km. You need a curtain for a window that is 156 cm wide.
Part (a) If you wanted to convert the width to kilometers, what conversion factor should you use? Show your work.
we know that
100 cm------> 1 m
1000 m-----> 1 km
step 1
convert cm to m
156 cm---------> 156*(1/100)-----> 1.56 m
step 2
convert m to km
1.56 m------> 1.56*(1/1000)----> 0.00156 km
step 3
find the factor
156 cm---------> 156*(1/100)*(1/1000)---> 156*[1/100000]=0.00156 km
the answer part 1a) isthe conversion factor is (1/100000)Part </span><span>(b) What is the width in kilometers?
</span><span>
the answer Part 1b) is 1.56 kmPart 2)</span><span> The driver of a taxi charges $2 every minute plus a pickup fee of $3.
Part (a) Write an expression for the total cost of a taxi ride.
</span>
let
x-----> quantity of minutes of a taxi ride
y----> total cost of a taxi ride
we know that
y=2x+3
the answer Part) 2a isAn <span>
expression for the total cost of a taxi ride is </span>
y=2x+3Part <span>b) How much does an 18-min drive cost?
y=2x+3
for x=18 minutes
y=2*18+3-----> y=$39
the answer Part 2b) is$39Part 3)</span><span> Draw a net for each of the following shapes:
(a) Rectangular prism
(b) Triangular prism
(c) Pyramid
see the attached figures</span>
Answer:
H0 : ρ = 0
H1 : ρ ≠ 0
Test statistic = 1.197
Pvalue = 0.2335
There is no correlation between the two variables
Step-by-step explanation:
The null and alternative hypothesis :
H0 : No correlation exist,
H1 : Correlation exist
H0 : ρ = 0
H1 : ρ ≠ 0
Test statistic, T = r / √(1 - r²) / (n - 2)
T = 0.067 / √(1 - 0.067²) / (320 - 2)
T = 0.067 / √(0.995511 / 318)
T = 0.067 / 0.0559512
T = 1.197
The Pvalue obtained from the Rscore, at df = 320 - 2 = 318 is 0.2335
α = 5% = 0.05
The Pvalue > α ; we fail to reject the null and conclude that, there is no correlation between the two variables.
3.0? pretty sure that’s the answer
Based on the definition of supplementary angles, the measure of both angles are: 80° and 100°.
<h3>What are Supplementary Angles?</h3>
The sum of angles that are supplementary to each other equals 180 degrees.
Let the measure of the supplementary angle be x.
The other angle will be: x + 20.
(x + 20) + x = 180
x + 20 + x = 180
2x + 20 = 180
2x = 180 - 20
2x = 160
x = 160/2
x = 80°
The other angle will be x + 20 = 80 + 20 = 100°.
The measure of the angles are: 80° and 100°.
Learn more about supplementary angles on:
brainly.com/question/8992900
#SPJ1
Answer:x=17 y=10
Step-by-step explanation: