<span>seventy two hundredths</span> = 0.72.
Decrease = Subtraction.
Two Tenths = 0.2
So:
0.72 - 0.2
0.72 - 0.2 = 0.52
So, This Expression Is Equal To 0.52
The first car consumed 40 gallons of gas and second car consumed 30 gallons of gas
<em><u>Solution:</u></em>
Let x = gallons consumed by car 1
Let y = gallons consumed by car 2
Fuel efficiency of car 1 = 15 miles per gallon
Distance covered in 1 gallon of gas = 15 miles
Fuel efficiency of car 2 = 25 miles per gallon
Distance covered in 1 gallon of gas = 25 miles
<em><u>Given a total gas consumption of 70 gallons</u></em>
Therefore,
gallons consumed by car 1 + gallons consumed by car 2 = 70
x + y = 70 ------ eqn 1
<em><u>The two cars went a combined total of 1350 miles</u></em>
Therefore,
gallons consumed by car 1 x distance covered in 1 gallon of gas of car 1 + gallons consumed by car 2 x distance covered in 1 gallon of gas of car 2 = 1350
15x + 25y = 1350 ----- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 1,
x = 70 - y ------- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
15(70 - y) + 25y = 1350
1050 - 15y + 25y = 1350
10y = 1350 - 1050
10y = 300
y = 30
<em><u>Substitute y = 30 in eqn 3</u></em>
x = 70 - 30
x = 40
Thus first car consumed 40 gallons of gas and second car consumed 30 gallons of gas
Answer:
A = 21 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = 
h (b₁ + b₂ )
where h is the height between bases and b₁, b₂ are the parallel bases
Here h = 3, b₁ = 9, b₂ = 5 , then
A = × 3 × (9 + 5) = 1.5 × 14 = 21 cm²
Answer:
a) H₀= The mean guest bill for a weekend is $600 or less.
Hₐ= The mean guest bill for a weekend is more than $600.
b) We can conclude that the manager's claim is wrong.
c) We cannot conclude that the manager's claim is wrong. On the contrary, it is right.
Step-by-step explanation:
a) We have to state the null hypothesis and the alternate hypothesis.
The null hypothesis is the hypothesis we plan to discredit or to prove it's false. On the other hand, the alternative hypothesis is what we expect or hope to be true.
In this case, the accountant wants to prove the manager's claim that the total charges for guests have been increasing, so the mean guest bill for a weekend would be more than $600. What the accountant needs to discredit is that the mean guest bill for the weekend is $600 or less.
Considering what we just stated in the previous paragraph we would have:
- The null hypothesis <u>H₀= The mean guest bill for a weekend is $600 or less.</u>
- The alternative hypothesis<u> Hₐ= The mean guest bill for a weekend is more than $600.</u>
b) When H₀ cannot be rejected, then there's no evidence supporting the manager's claim, meaning that the guest bills have not been increasing in recent month. So the manager's claim is likely wrong
c) If H₀ is rejected, then we can conclude that the manager's claim is likely right and the total charges for guest bills have been increasing.
D, A, B, A, B, C
You're on your own for eleven, buddy.
