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Ronch [10]
3 years ago
5

Complete the inequality. 11 gal ___ 28 qt > < =

Mathematics
1 answer:
Sveta_85 [38]3 years ago
7 0
11 gal is more than (>) 28qt
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Kylie is comparing the cost of two housekeeping companies, DoItRight and CleanIt. The table describes the costs for DoItRight.
abruzzese [7]

Answer:

<u>First, find the cost function of DoItRight Housekeeping:</u>

  • Slope(m) = cost per hour = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{44-26}{3-1.5}=\frac{18}{1.5}=12

<em>The y-intercept(b), representing the initial cost, can be calculated by substituting in values to the function:</em>

f(x)=12x+b\\26=12(1.5)+b\\b=26-18=8

<u>Therefore, the function for two companies are:</u>

  • The function for DoItRight is f(x)=12x+8
  • The function for CleanIt is g(x)=10x+16

When comparing the two functions, it's shown how CleanIt has a greater y-intercept than DoltRight, meaning that CleanIt has a greater initial cost than DotRight. The y-intercept is when the graph intercepts the y-axis, therefore, the coordinates there would be (0, y-value), which, in this case for CleanIt company, will be (0, 16). While CleanIt has a greater y-intercept(initial cost), DoItRight has a greater slope, meaning they cost more per hour.

7 0
3 years ago
A basketball player has made 6060​% of his foul shots during the season. Assume the shots are independent. ​
motikmotik

Answer:

a) 2.5 shots

b) 59.4 shots

c) 4.87 shots

Step-by-step explanation:

Probability of making the shot = 0.6

Probability of missing the shot = 0.4

a) The expected number of shots until the player misses is given by:

E(X) = \frac{1}{P(X)}=\frac{1}{0.4}  \\E(X) = 2.5\ shots

The expected number of shots until the first miss is 2.5

b) The expected number of shots made in 99 attempts is:

E=99*0.6\\E=59.4\ shots

He is expected to make 59.4 shots

c) Let "p" be the proportion shots that the player make, the standard deviation for n = 99 shots is:

s=\sqrt{n*p*(1-p)}\\ s= 4.87\ shots

The standard deviation is 4.87 shots.

7 0
2 years ago
15(x-3) over 5 = 3(2x-3) <br> What is X?
fgiga [73]

Answer:

x=0

Step-by-step explanation:

5 0
2 years ago
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I will mark you as most Brillance if you help me get this right!
Dovator [93]
5=10x-3-6x=4x-3
8/4=x
8 0
2 years ago
Need help asap pls !
matrenka [14]

Answer:

L={∅}

Step-by-step explanation:

8 0
2 years ago
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