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s2008m [1.1K]
3 years ago
11

Which equation represents a proportional relationship? A) y = 9x B) y = 9x + 1 C) y = 9x + 9 D) y = 9 x

Mathematics
2 answers:
aliya0001 [1]3 years ago
7 0

Hello! I think your answer is A) y= 9x

Advocard [28]3 years ago
4 0

Answer:

A) y = 9x

Step-by-step explanation:

Proportional relationships shows the relationship between two or more variables where their ratios are equivalent in a given expression. It is majorly a direct relation, which implies that as the value of on variable increases, the value of the other variable also increase.

From the expressions given, the first shows a good proportion between the variables given.

So, y = 9x is the answer.

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A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the differen
gavmur [86]

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 8 of each brand, assigned at random to the left and right rear wheels of 8 taxis. The tires are run until they wear out and the distances, in kilometers, are recorded in the accompanying data set. Find a 95% confidence interval for Hx - Hy. Assume that the differences of the distances are approximately normally distributed Data Set Let, Hx be the population mean for brand A and let Hy be the population mean for brand B. The confidence interval is -42- (Round to one decimal place as needed.) Taxi Brand A 37,700 46,800 36,500 40,600 43.600 31,300 37,600 43.800 Brand B 39,800 47,500 37.100 39,200 42,900 36,000 38,700 45,000

Solution:

For brand A,

Mean,x1 = (37700 + 46800 + 36500 + 40600 + 43600 + 31300 + 37600 + 43800)/8 = 39737.5

Standard deviation = √(summation(x - mean)²/n

Summation(x - mean)² = (37700 - 39737.5)^2 + (46800 - 39737.5)^2 + (36500 - 39737.5)^2 + (40600 - 39737.5)^2 + (43600 - 39737.5)^2 + (31300 - 39737.5)^2 + (37600 - 39737.5)^2 + (43800 - 39737.5)^2 = 172438750

Standard deviation = √(172438750/8

s1 = 4642.72

For brand B,

Mean,x2 = (39800 + 47500 + 37100 + 39200 + 42900 + 36000 + 38700 + 45000)/8 = 40775

Standard deviation = √(summation(x - mean)²/n

Summation(x - mean)² = (39800 - 40775)^2 + (47500 - 40775)^2 + (37100 - 40775)^2 + (39200 - 40775)^2 + (42900 - 40775)^2 + (36000 - 40775)^2 + (38700 - 40775)^2 + (45000 - 40775)^2 = 111635000

Standard deviation = √(111635000/8

s2 = 3735.56

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

For a 95% confidence interval, we would determine the z score from the t distribution table because the number of samples are small

Degree of freedom =

(n1 - 1) + (n2 - 1) = (8 - 1) + (8 - 1) = 14

z = 2.145

x1 - x2 = 39737.5 - 40775 = -1037.5

z√(s1²/n1 + s2²/n2) = 2.145√(4642.72²/8 + 3735.56²/8)

= 4519.1

95% Confidence interval = - 1037.5 ± 4519.1

3 0
3 years ago
3/5 x 3/5 is equal to 3/5 , since 3/5 is being multiple by a value equal to 3/5 true or false ?
LenKa [72]
False, because any number multiplied by a number lower than 1 will always be less than the original number
3 0
2 years ago
Find the first, fourth, and eighth terms of the sequence. A(n) = –5 • 3n–1
jeka94

Answer:

<h2>C. -5; -135, -10,935</h2>

Step-by-step explanation:

\text{Substitute}\ n=1,\ n=4\ \text{and}\ n=8\ \text{to}\ A(n)=-5\cdot3^{n-1}:\\\\A(1)=-5\cdot3^{1-1}=-5\cdot3^0=-5\cdot1=-5\\\\A(4)=-5\cdot3^{4-1}=-5\cdot3^3=-5\cdot27=-135\\\\A(8)=-5\cdot3^{8-1}=-5\cdot3^7=-5\cdot2,187=-10,935

6 0
2 years ago
Read 2 more answers
Need help plz very difficult
Oksanka [162]

Answer:

D - 9x^(2)+2x-5

Step-by-step explanation:

6 0
2 years ago
Create an equivalent expression for 13 ^−7 x 13 ^5.
Sveta_85 [38]

13^{-7} \times 13^5=13^{-2}=\boxed{\frac{1}{13^2}}

8 0
1 year ago
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