9514 1404 393
Answer:
14 minutes
Step-by-step explanation:
Let t represent the time it took Suki to pick out her pumpkin. The given relation is ...
10t -13 = 127 . . . . . equation for minutes to carve
10t = 140 . . . . . . . . add 13
t = 14 . . . . . . . . . . divide by 10
It took Suki 14 minutes to pick out her pumpkin.
Answer:
Expected revenue from the single trip is $ 13.14
Step-by-step explanation:
y
p(x,y) 0 1 2 g(x)
x 0 0.025 0.015 0.010 0.05
1 0.050 0.030 0.020 0.1
2 0.115 0.075 0.050 0.24
3 0.150 0.090 0.060 0.3
<u>4 0.100 0.060 0.040 0.2 </u>
h(y) 0.325 0.27 0.18
E (x+Y) = E(X) +E(Y)
E(X)= ∑ xi g(x)i
= ( 0*0.05) + (1*0.1) + (2* 0.24) + (3*0.3) + (4*0.2)
= 0 + 0.1+ 0.48 + 0.9+0.8
=2.28
E(Y)= ∑yi h(y)
= (0* 0.325) + (1*0.27) + (2*0.18)
= 0 +0.27+ 0.36
= 0.63
E (x+Y) = E(X) +E(Y)
= 2.28 + 0.63
= 2.91
But the equation is 3x+ 10y
E(3x+ 10y)= 3E(x) + 10 E(y)
= 3(2.28) + 10 (0.63)
= 6.84 +6.3
= 13.14
Expected revenue from the single trip is $ 13.14
The year in which the two quantities will be equal is 2133.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Here we have the following data.
y=0.221x-368.264 For men
y=0.168x-255.196 for women
So when we will equate these two equation we will get the year in which two quantities will be same.
0.221x-368.264=0.168x-255.196
0.221x-0.168x=368.264-255.196
0.053x = 1123.068
x= 2133 year
Hence the year in which the two quantities will be equal is 2133.
To know more about equations follow
brainly.com/question/2972832
#SPJ1
Step-by-step explanation:
x=2y-5 - equation 1
4x+3y=-9 -equation 2
Replace equation 1 in equation 2
4(2y-5)+3y=-9
8y-20+3y=-9
11y=-9+20
11y=11
y=11/11
y=1
If y=1, therefore x=2(1)-5=-3
x=-3,y=1
This is a conversion problem..
<span>1 cm = 0.01 m
</span>
so 150 cm would be 1,50
So it's D.<span>1.50 m</span>³
