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Evgesh-ka [11]
3 years ago
12

The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other

in opposite directions. The Serenity travels at 14 mph and the Mystic travels at 18 mph. How far apart will they be in 3 hours?
Mathematics
1 answer:
slavikrds [6]3 years ago
5 0

what you do is you take one of them and multiply their speed by however many hours

in this case

14 \times 3

18 \times 3

then add the product giving you the distance apart

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Which of the following stocks had the highest trading price at the end of the day A.eBay. B.Netflix. C.Google. D.Apple
Tresset [83]

Answer: eBay

Step-by-step explanation: APEX

4 0
4 years ago
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Use the parabola tool to graph the quadratic function f(x)=x2−12x+27. Graph the parabola by first plotting its vertex and then p
alina1380 [7]

Answer:

vertex is (6 , -9)

points are (9,0) and (3,0)

Step-by-step explanation:

Given quadratic function f(x)=x^2-12x+27

We have to plot the given quadratic function.

Consider the Given quadratic function f(x)=x^2-12x+27

The general form of quadratic function  is given f(x)=a(x-h)^2+k

Where, (h, k)  is vertex , given  h =\frac{-b}{2a} and k = f(h)  

Thus, for given quadratic function f(x)=x^2-12x+27

a = 1 , b= -12 , c = 27

Thus,

h =\frac{-b}{2a}=\frac{12}{2}=6

k = f(h) that is f(12) = (6)^2 - 12× 6 +27 = 36 - 72 + 27 = - 9

Thus, given  quadratic function f(x)=x^2-12x+27 in standard form is f(x)=(x-6)^2-9  

Thus, vertex is (6 , -9)

For second point put f(x)=0  , we get,

f(x)=(x-6)^2-9=0  

\Rightarrow (x-6)^2-9=0  

\Rightarrow (x-6)^2=9  

\Rightarrow (x-6)=\pm 3  

\Rightarrow x= 6\pm 3  

Thus, \Rightarrow x=6+3=9 and \Rightarrow x=6-3=3  

thus, points are (9,0) and (3,0)

Graph is attached below.

5 0
4 years ago
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vichka [17]

Answer:

Step-by-step explanation:

8 0
3 years ago
Emergency rooms have reason to suspect that visits increase on the weekends. A recent report indicates that Monday through Thurs
Rasek [7]

Answer:

No the facility dose not have the same pattern as the recent report at the 10% level

Step-by-step explanation:

To determine if the Facility have the same pattern ; Perform Chi squared test for Goodness of fit

state the hypothesis

H0 : μ = same pattern

Ha : μ ≠ same pattern

expected frequency ( E )  = proportion * summation of frequency

summation of frequency = 1000

degree of freedom = 7 - 1 = 6

<u>Next : Calculate the expected frequency (E) , (O-E)²/E.  given that the observed frequency  and expected proportion is given </u>

<u>For Monday</u>

expected frequency = proportion * frequency = 0.1 * 1000 = 100

(O-E)²/E.  = ( 120 - 100 )^2 / 100 = 4.0.

observed frequency ( O ) ,  expected frequency  ( E )

<u>For Tuesday </u>

E = 0.1 * 1000 = 100

(O-E)²/E  = ( 130 - 100 )^2 / 100 = 9.0

<em>Repeat same calculations for Wednesday through Sunday </em>

Then perform Chi-squared test

X² = Σ(O-E)²/E  = 63.642    

∝ = 0.1

df = 6

hence P-value = 0.000 ( =chisq.dist.rt(test-stat,df)

since P-value < ∝ ; we will fail to reject Ha  hence we reject H0

7 0
3 years ago
What is 9.6+5.42-3.2 squared​
Aleonysh [2.5K]

Answer:

139.7124

Step-by-step explanation:

9.6+5.42-3.2 (^2)

11.82^2

= 139.7124

7 0
3 years ago
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