Below is the number of years that each of the nine Omar's Omelette Operation locations have been open.

Katy had two choices of routes to get her to work. She wanted to choose the route that would get her to work fastest, on average

zmey [24]

Answer:

D. There is not enough evidence at the 5% significance level to indicate that one route gets Katy to work faster, on average, since 0 falls within the bounds of the confidence interval.

Step-by-step explanation:

At 5% confidence level, Katy found difference in mean commuting times (Route 1-Route 2) in minutes as (-1,9).

Since no difference in means (0 min) falls within the confidence level (-1,9), we can not reject the hypothesis that there is no difference in mean commuting times when using Route1 or Route2.

A <em>higher</em> significance level(10% etc) may lead a <em>shorter</em> confidence interval leaving 0 outside and may reach a conclusion that Route1 takes longer than Route2

4 0

2 years ago

Triangle XYZ is rotated to create the image triangle X'Y'Z'.

Solnce55 [7]

Answer:

The correct option is;

R0, 180°

Step-by-step explanation:

The coordinates of ΔXYZ are given as follows;

X(-2, 2), Y(1, 2), Z(0, 4)

The coordinates of ΔX'Y'Z' are given as follows;

X'(2, -2), Y'(-1, -1), Z'(0, -4)

Whereby, the coordinates of the point Y' is (-1, -2), we have the rule that describe the transformation of ΔXYZ to ΔX'Y'Z', given as follows

Coordinates of the preimage = (x, y)

Coordinates of the image = (-x, -y)

Which is in accordance with the transformation by rotation 180° about the origin.

7 0

2 years ago

Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed. Did they run at the

Goshia [24]

Answer:

speed of Jada = 6km per hour which is not equal to

speed of Andre = 8km per hour

They did not run at same speed

Step-by-step explanation:

formula of speed = distance covered/ time taken

For Andre

Distance = 2 KM

time = 15 mins

60 mins = 1 hour

15 mins = 1/60 * 15 hour = 0.25 hours

thus,

speed = 2km/0.25 hour = 8 km per hour

Similarly for Jada

Distance = 3 KM

time = 20 mins

60 mins = 1 hour

20 mins = 1/60 * 20 hour = 1/3 hours

thus,

speed = 2km/(1/3)hour = 6 km per hour

Now we have

speed of Jada = 6km per hour which is not equal to

speed of Andre = 8km per hour

6 0

2 years ago

In mathematics, the Nth harmonic number is defined to be 1 + 1/2 + 1/3 + 1/4 + ... + 1/N. So, the first harmonic number is 1, th

Andreyy89

Answer:

cl + 1/(N+1)

Step-by-step explanation:

If we assume that the Nth harmonic number is cl. Then we are assuming that 1+1/2+1/3+1/4+...+1/N=cl

And we know that the (N+1)th harmonic number can be found by doing

1+1/2+1/3+1/4+...+1/N+1/(N+1)

=cl + 1/(N+1)

The (N+1)th harmonic number is cl + 1/(N+1) given that the Nth term is cl

Other way to see the answers:

Maybe you want to write it as a single fraction so you have

[cl(N+1)+1]/(N+1)=[cl*N+cl+1]/(N+1)

3 0

2 years ago

an ellipse has a center at the origin, a vertex along the major axis at (13, 0), and a focus at (12, 0). What is the equation of

yan [13]

Hi, as the elipce has a center at the origion and tha major distance is the axis

$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$

But,

c = 12 Distance of focus

a = 13 -> Major distance

b = ? ->

But,

$\\ b^2 + c^2 = a^2
 \\ 
 \\ b^2 + 12^2 = 13^2
 \\ 
 \\ b^2 + 144 = 169
 \\ 
 \\ b^2 = 169 - 144
 \\ 
 \\ b^2 = 25
 \\ 
 \\ b = \sqrt{5} 
 \\ 
 \\ b = 5

$

Then,

$\\ \frac{x^2}{(13)^2} + \frac{y^2}{(5)^2} = 1
 \\ 
 \\ or
 \\ 
 \\ \frac{x^2}{169} + \frac{y^2}{25} = 1$

5 0

2 years ago

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