Answer:
(3,11)
Step-by-step explanation:
Turn both equations into linear equations:
y=2x+5
y=5x-4
Then, just graph both equations.
Find the point where the two lines intersect. That point of intersection is the solution. That coordinate is (3,11).
V = 30cm³
H = 3cm
W = 5cm
L = ?
V = H × W × L
therefore:
3 × 5 × L = 30
15L = 30
L = 30 : 15
<u>L = 2 (cm)</u>
9514 1404 393
Answer:
- absolute error: 0.4 kg
- relative error: 6.1%
Step-by-step explanation:
The absolute error is the difference between the estimate and the actual weight:
7.0 kg -6.6 kg = 0.4 kg . . . . absolute error
__
The relative error is the ratio of the absolute error to the actual weight:
(0.4 kg)/(6.6 kg) × 100% = 6.060606...% ≈ 6.1% . . . . relative error
The expected value of the game is the mean value of the game
The expected value of the game is $1
<h3>How to determine the expected value?</h3>
There are 13 spades in a deck of card of 52
So, the probability of selecting a spade is:
P(Spade) = 13/52
Simplify
P(Spade) = 1/4
Winning = $7
The probability of not selecting a spade is:
P(Not spade) = 1 - 1/4
Simplify
P(Not spade) = 3/4
Lose = $1
The expected value of the game is:

This gives

Simplify

Evaluate

Hence, the expected value of the game is $1
Read more about expected values at:
brainly.com/question/15858152