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VikaD [51]
2 years ago
10

Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown

in the table.
Part A: Who runs faster?

Part B: If Becca and Kimberly are 5 hours into a marathon, how far has each run?

Mathematics
1 answer:
Georgia [21]2 years ago
5 0

Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

y = 4.5*5 = 22.5 miles

For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x

Thus:

y = 5*5 = 25 miles

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Montano1993 [528]

Answer:

There is no difference in the number of sales between The Florida salespeople and Washington salespeople

Sp^2 = 39

Step-by-step explanation:

Given data :

Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54

Washington: 42, 43, 56, 50, 49, 52, 53, 56

number of sales persons in Florida = 9

number of sales persons in Washington = 8

variance = constant

a)Determine if there is difference between the Florida salespeople and Washington salespeople

we will carry out a two tailed test based on the given data

H0 : u1 = u2  

H1 : u1 ≠ u2

x ( mean ) = 46.77,  y ( mean ) = 50.13 ,

s1^2 = 39.69,  s2^2 = 28.41,   n1 = 9 ,   n2 = 8

therefore :

Sp^2 = \frac{n1s1^2 + n2s2^2}{n1 + n2-2} =  38.96  ≈ 39

performing test statistic

t = \frac{x- y }{sp\sqrt{\frac{1}{n1} +\frac{1}{n2} } }    = \frac{-3.36}{3.0330} = -1.1078

critical value is at t = 0.05 and for a two tailed test it is at 2.13  therefore e accept H0 at 5% .    This shows that there is no difference in sales

5 0
3 years ago
Which equation(s) represents a proportional relationship? A) y = 5+x B) y = 4x C) y = 7x? D) y = 2-x
andreyandreev [35.5K]

Answer:

B & C

Step-by-step explanation:

A proportional relationship has a proportionality constant (constant rate of change) and and must cross through the origin (or begin at (0,0). This means it's y-intercept is 0. Each of the options is a linear function. All of the functions have a constant rate of change. Only one as b=0 or 0 as the y-intercept.

B) y=4x has a constant of 4 and passes through the origin.

C) y=7x has a constant of 7 and passes through the origin.


6 0
3 years ago
HELP FIND X AND Y PLS
S_A_V [24]

Answer:

X=56 Y=56

Step-by-step explanation:

6 0
2 years ago
HELP HELP HELP I WILL GIVE BRAINLIEST YALL BETTER NOT GIVE ME A NOT SMART ANSWERS IF YOU DO ILL REPORT THE QUESTION :/
monitta

Answer:

C

Step-by-step explanation:

Multiply ben (y) by 4 since dave has 4x more and add % since jeff has 5 more than Daves total

Hope this helps ^_^

5 0
2 years ago
Could someone help me for 96 points
frutty [35]
A is .5
B is 8
C is 16
D is 8,800
Check to see if my answers are right. I hope this helps!
5 0
3 years ago
Read 2 more answers
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