Answer:
Hours are equal: 7.2
Cost of service are equal: 51.4
Step-by-step explanation:
<u>Happy Paws:</u>
y = 4.5h + 19
<u>Woof Watchers:</u>
y = 5.75h + 10
<u>To solve for the hours are equal:</u>
y = 4.5h + 19
y = 5.75h + 10 (Multiply by -1)
y = 4.5h + 19
-y = -5.75h - 10
0 = -1.25h + 9
-9 = -1.25h
h = 7.2
<u>To solve for when the services are equal:</u>
y = 4.5h + 19
y = 4.5(7.2) + 19
y = 32.4 + 19
y = 51.4
Answer:
it equals 180
Step-by-step explanation:
in Geometry if you want a farewell you need to know the parallel lines they never touch they're always the same distance apart it's as if they don't like each other much and there's only one thing that comes between the line that passes right through each of them called the transversal line it has several angle properties just like these: vertically opposite angles are equal corresponding angles are equal alternate interior angles are equal co-interior angles equal 180* vertically opposite angles are equal corresponding angles are equal alternate interior angles are equal co-interior angles equal 180*
Answer:
Step-by-step explanation:
Answer:
a. μ = $24.57
μ ≠ $24.57
b. 0.12
c. we fail to reject the null hypothesis since p ≈0.12 > 0.05
d. we fail to reject the null hypothesis since z ≈-1.6 > -1.96
Step-by-step explanation:
a)
μ = $24.57
μ ≠ $24.57
b)
To compute p value, we need to calculate z-score of $23.89 per hour. in the distribution assumed under null hypothesis
z-score can be calculated as follows:
where
- X= $23.89
- M is the mean value under null hypothesis ( $24.57)
- s is the sample standard deviation ($2.40)
- N is the sample size (30)
Putting the numbers in the formula we get
≈ −1,5518
The corresponding p-value is <em>two tailed </em>and ≈ 0.12
c)
since p ≈0.12 > 0.05 <em>we fail to reject the null hypothesis.</em>
d)
Critical value for the 0.05 significance level in two tailed test is :
c(z)=-1.96 Since z≈ −1,6 >-1.96, it is not in the critcal region, therefore <em>we fail to reject the null hypothesis. </em>
Let the two numbers be x and x+2
x^2+(x+2)^2=2594
x^2+x^2+4x+4=2594
2x^2+4x=2590
x^2+2x=1295
x^2+2x+1=1296
(x+1)^2=1296
x+1= 36 or -36
x=35 or -37
x+2=37 or -35
the two numbers can be 35, 37
or -37, -35