Answer:
1. equation
2. equation
3. expression
4. expression
explanation is that an equation has an equal sign and an expression doesnt .
5. equation
Step-by-step explanation:
Plan 1 because she spends 435.88 more if she goes with plan 2
Answer:
Step-by-step explanation:
Let's label this triangle as triangle ABC. Side AB is 18, side BC is 20 and side CA is 25 and the angle we are looking for is angle C. Use the Law of Cosines to find the missing angle. You have to use the Law of Cosines because in order to use the Law of Sines you have to have an angle given and we don't so we have no other options. In our case,
which for us looks like this:
and
and
and
and

Use the 2nd button and the cos button to find the missing angle.
Angle C = 45.4 which is, rounded to the nearest degree, 45°
Answer:
There is sufficient evidence that fuel economy goal has been attained.
Step-by-step explanation:
The hypothesis :
H0 : μ < 30.2
H1 : μ ≥ 30.2
The test statistic :
(xbar - μ) ÷ (s/√(n))
xbar = 32.12 ; s = 4.83 ; n = 50
Test statistic :
(32.12 - 30.2) ÷ (4.83/√(50))
1.92 ÷ 0.6830651
T = 2.811
Using the Pvalue from test statistic calculator :
Since we used the sample standard deviation, we use the T distribution
df = n - 1 = 50 - 1 = 49
Pvalue(2.811, 49) ; one tailed = 0.00354
At α = 0.05
Pvalue < α ; then we reject the null and conclude that there is sufficient evidence that fuel economy goal has been attained
Answer:
f(x) = 2x+1
Step-by-step explanation:
Equation in slope intercept form y = mx + b where m = slope b = y-intercept
To find slope ,
m = (y2-y1)/(x2 - x1)
m = (3 - 1) / (1 - 0)
m = 32/1
m = 2
y-intercept b = 1
In this case y = 2x + 1 or f(x) = 2x+1