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3 years ago

A Toyota prius drove 208 miles on 5 gallons of gas. how far should it be able to go on a full 11 gallon tank?

Mathematics

2 answers:

JulsSmile [24]3 years ago

8 0

Answer:

457.6 miles

The Prius gets 208 miles / 5 gallons = 41.6 miles/gallon.

Distance = Rate * Gallons

Distance = 41.6 miles/gallon * 11 gallon = 457.6 miles

kaheart [24]3 years ago

4 0

Answer:

457.6 miles.

Step-by-step explanation:

208 ÷ 5 = 41.6

41.6 x 11 = 457.6

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Grading managers. Some companies "grade on a bell curve" to compare the performance of their managers and professional workers.

Monica [59]

Answer:

$\mu = 250, \sigma = 175.781$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the grades of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$

For this case we have two conditions given:

$P(X$

$P(X>475) = 0.1$ or equivalently $P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

So we can find a value from the normal standard distribution that accumulates 0.1 and 0.9 of the area in the left, for this case the two values are:

$z= -1.28, z=-1.28$

We can verify that P(Z<-1.28) =0.1[/tex] and P(Z<1.28) =0.9[/tex]

And then using the z score we have the following formulas:

$-1.28 = \frac{25 -\mu}{\sigma}$ (1)

$1.28 = \frac{475 -\mu}{\sigma}$ (2)

If we add equations (1) and (2) we got:

$\frac{25 -\mu}{\sigma} + \frac{475 -\mu}{\sigma} =0$

We can multiply both sides of the equation by $\sigma$ and we got:

$25+ 475 -2 \mu = 0$

$\mu = \frac{500}{2}= 250$

And then we can find the standard deviation for example from equation (1) and we got:

$\sigma = \frac{25-250}{-1.28}=175.781$

So then the answer would be:

$\mu = 250, \sigma = 175.781$

3 0

3 years ago

Graph the linear equation y= -3x using the slope and y intercept 7th grade middle school math pls answer fast this is due soon

ehidna [41]

Answer: graph -3 on the y axis which is the line going straight up and down and then go up one, and then to the right one and graph that point. keep on going up one and to the right one.

Step-by-step explanation:

3 0

3 years ago

If qrs is congruent to tuv, which congruences are true by CPCTC ? Check all that apply

Fed [463]

Where are the choices -

8 0

3 years ago

1 question need help thank you!!

inn [45]

The correct answer is: [D]: " x² – 5x – 24 " .
____________________________________________________
Explanation:
_____________________________________
Given: " (x + 3)(x – 8) " ; expand :
______________________________________
Note: (a + b) (c + d) = ac + ad + bc + bd .
_____________________________________
a = x ;

b = 3 ;

c = x

d = 8
_______________________________________

" (x + 3)(x – 8) " ;

= (x * x) + ( -8 * x) + ( 3 * x ) + (3 * -8) ;

= x² + (-8x) + 3x + (-24) ;

= x² – 8x + 3x – 24 ;

→ Combine the "like terms" :

– 8x + 3x = – 5x ;

And simplify the expression;

to get:

→ " x² – 5x – 24 " ; which is: Answer choice: [D]: " x² – 5x – 24 " .
________________________________________________________

7 0

3 years ago

Help lots of points!!!

blondinia [14]

Answer:

5/8

Step-by-step explanation:

would be reduces all the way by 3

8 0

3 years ago