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3 years ago

A car drove 1550 miles on 45 gallons of gas. What is the Unit Rate of miles per gallon of gas? *

Mathematics

2 answers:

Nataliya [291]3 years ago

7 0

I’m not sure sorry!

nikdorinn [45]3 years ago

4 0

Answer:

1550/45

Step-by-step explanation:

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Can 4cm 6cm and 12cm make a triangle

Alex

No, the sum of the lengths of any two sides must be greater than the length of the third side

5 0

3 years ago

If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul

Wittaler [7]

Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

3 failures every twenty weeks

This means that for 1 week, $\mu = \frac{3}{20} = 0.15$

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

Then

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607$

$P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898$

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

6 0

3 years ago

The product of the page numbers on two facing pages of a book is 156. Find the page numbers

Gnoma [55]

Let x be the page number then x+1 would be the other page number (because the pages are two facing pages which means they follow on consecutively)

Then

(x)(x+1) = 156

x^2 + x - 156 = 0

x = 12 or x = -13( but x can't be a negative number)

so x = 12

and the next page is 13

3 0

3 years ago

I need to find x. It wants me to find the indicated angle measure.

Nataliya [291]

Answer:

x=27

Step-by-step explanation:

(2x-18)+(4x)=180 bc its a straight line

simplify

6x-18=180

-18 -18

6x=162

divide

x=27

5 0

3 years ago

Read 2 more answers

Can someone plz help me with my geometry pleaseee

gizmo_the_mogwai [7]

Answer:

B'= (0,7)

E'= (3,6)

A'= (5,3)

R'= (2,1)

S'= (-1,4)

Step-by-step explanation:

Add 6 to all x's and add 8 to all y's.

3 0

3 years ago