Sarah bought a TV for $250. Three years later she sold it for $180. Work out her percentage loss.

It is reported in USA Today that the average flight cost nationwide is $445.99. You have never paid close to that amount and you

nlexa [21]

Answer:

$H_0$ : $\mu \leq 445.99$

$H_a$ : $\mu > 445.99$

Step-by-step explanation:

It is given the average cost of the flight nationwide is $ 445.99

I wanted to $\text{perform the hypothesis test}$ to determine that the true average is greater than $ 445.99

Let the hypothesis that the true average is actually greater than $445.99

Therefore,

the $\text{null hypothesis}$ for the test is :

$H_0$ : $\mu \leq 445.99$

And the alternate hypothesis is :

$H_a$ : $\mu > 445.99$

5 0

3 years ago

Driving 65 mph, it takes Alicia 3 hours to reach the airport to go on a vacation. It then takes her 4 hours to get to her destin

Oksanka [162]

Answer:

1,795 mi. traveled in total

Step-by-step explanation:

3 × 65 = 195 mi. driven by car

4 × 400 = 1,600 mi. flown by jet

1,600 + 195 = 1,795 mi. traveled in total.

8 0

3 years ago

PLS HELP ITS URGENT!

love history [14]

Answer:

the slope is 3

Step-by-step explanation:

8 0

3 years ago

The city planning commission has been given a budget of 300,000 if the density of concrete is 150 lbs/ft3 determine if the cpc c

Romashka [77]

Answer:

Check Explanation

Step-by-step explanation:

The volume of concrete required to build the bridge is missing and should be provided.

In its absence, let us assign a letter to it.

Let the volume of concrete required to build the bridge be V ft³.

And we further assume that the concrete is the only major material needed to build the bridge for the sake of our question.

Density = (mass/volume)

Density = 150 lb/ft³

Mass = ?

Volume = V ft³

Mass = (Density) × (Volume)

Mass of concrete required = 150 × V = (150V) lb

Cost of concrete is 0.80 per lb

1 lb of concrete costs 0.80

150V of concrete will cost 150V × 0.80 = (120V) currency amount.

Now, depending on the value of V, we can now determine if the city planning commission (cpc) can afford the bridge.

If 120V > 300,000 budget, the cpc cannot afford the bridge, but if 300,000 budget > 120V, then the cpc can afford the bridge.

Hope this Helps!!!

7 0

3 years ago

Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]

MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

$f(x)=2x+\sin (4x)$

Now on differentiating both side with respect to x we get that:

$f'(x)=2+4 \cos (4x)$

When $f'(x)=0$

this means that $2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}$

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval $[0,\pi]$ .

also we know that $\cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}$ ----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

$4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}$

Hence, the x-coordinates where $f'(x)=0$ for $f(x)=2x+\sin(4x)$ is $\dfrac{\pi}{6}$ .

5 0

3 years ago