Which expression is equivalent to

A city council is deciding whether or not to spend additional money to reduce the amount of traffic. The council decides that it

garri49 [273]

Answer:

t = 2.9272 > 1.708 at 25 degrees of freedom

null hypothesis is rejected

The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes

Step-by-step explanation:

Step (i):-

A sample of 26 main roads results in a mean waiting time of 21.1 minutes with a sample standard deviation of 5.4 minutes.

Given sample size 'n' = 26

The mean of the sample 'x⁻ = 21.1 min

Standard deviation of the sample 'S' = 5.4 min

The Population mean 'μ' = 18min

Step(ii):-

Null hypothesis: H₀ : The council decides that it will increase the transportation budget if the amount of waiting time for drivers exceeds 18 minutes.

'μ' > 18min

Alternative hypothesis :H₁:

'μ' <18min

Level of significance : ∝=0.05

Degrees of freedom γ = n-1 = 26-1 =25

The test statistic

$t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }$

$t = \frac{21.1-18}{\frac{5.4}{\sqrt{26} } }$

t = 2.9272

Step(iii):-

The tabulated value t = 1.708 at 25 degrees of freedom

t = 2.9272 > 1.708 at 25 degrees of freedom

Null hypothesis is rejected at 5% significance level of significance

Conclusion:-

The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes

8 0

2 years ago

What fraction is equal to 2/5??? (answer fast pls ill give you a shoutout)

telo118 [61]

Answer:

4/10

Step-by-step explanation:

:)

5 0

2 years ago

Read 2 more answers

The price of Stock A at 9 A.M. was $12.79 Since then, the price has been increasing at the rate of $0.11 each hour. At noon t

gayaneshka [121]

Answer:

2.174 hours

Step-by-step explanation:

Let the number of hours be represented as:

x

The price of Stock A at 9 A.M. was $12.79 Since then, the price has been increasing at the rate of $0.11 each hour.

$12.79 + $0.11 × x

12.79 + 0.11x

At noon the price of Stock B was $13.29 It begins to decrease at the rate of $0.12 each hour.

$13.29 - $0.12× x

13.29 - 0.12x

Equating both equations together

Stock A = Stock B

12.79 + 0.11x = 13.29 - 0.12x

Collecting like terms

0.11x + 0.12x = 13.29 - 12.79

0.23x = 0.5

x = 0.5/0.23

x = 2.1739130435 hours

x = Approximately = 2.174 hours

If the two rates continue, the number of hours that the prices of the two stocks will be the same is 2.174 hours

5 0

3 years ago

Given m || n, find the value of x and y

Anika [276]

Answer:

x = 16 and y = 121

Yes, its a long process.

Step-by-step explanation:

vertical angles are congruent given that: we do this

(4x-5)+(4x-5)+y+y=360

or

2(4x-5)+2y=360

divide both sides by 2

(4x-5)+y=180

distribute (there is an invisible 1 beside the parentheses of 4x-5)

4x-5+y=180

add 5 to both sides

4x+y = 185

subtract y from both sides

4x = 185-y

divide both sides by 4

x = (185-y)/4

note that (4x-5) is also EQUAL to (3x+11)

4x-5=3x+11

subtract 3x from both sides

x-5=11

add 5 to both sides

x = 16

Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360

Our equation was

x = (185-y)/4

16 = (185-y)/4

Multiply both sides by 4

64 = 185-y

Subtract 185 from both sides

-121=-y

multiply both sides by -1

121 = y

7 0

3 years ago

What does this mean?

Mademuasel [1]

Means multiply 2 3/2×6 ok

4 0

2 years ago

Read 2 more answers

Which expression is equivalent to –(3 + 4x)?