The United Van Lines moving company has a truck filled for deliveries to five different sites. If the order of the deliveries is randomly selected, what is the probability that it is the shortest route?

Answers

Answer 1

Answer:

Answer:

0.8333%

Step-by-step explanation:

Assuming that there is only one possible shortest route, the probability that a randomly selected route is given by one divided by the permutation of the order of five different sites:

$P=(1)/((5!)/((5-5)!))=(1)/(5*4*3*2*1)\n P=0.008333=0.8333\%$

There is a 1 in 120 chance, or 0.8333% chance that a randomly selected route is the shortest possible route.

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You have 137.26 in a bank account. The bank requires you to have at least 50$ in your account or else you are charged a fee. Write and solve an inequality that represents the amount you can write for your next check for without being charged

Answers

The inequality represents the amount you can check for without being charged is x + 50 ≤ 137.26 and its solution is x ≤ $87.26.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

You have 137.26 dollars in your bank account. If you do not have at least $50 in your account, you will be charged a fee.

Let x be the amount of can be taken from the account without being charged.

x + 50 ≤ 137.26

Simplify the inequality, then the value of 'x' will be

x + 50 ≤ 137.26

x ≤ 137.26 - 50

x ≤ $87.26

The inequality represents the amount you can check for without being charged is x + 50 ≤ 137.26 and its solution is x ≤ $87.26.

More about the inequality link is given below.

brainly.com/question/19491153

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Answer: x ≤ 87.26

Step-by-step explanation:

137.26-x=50

x=87.26

you can withdraw 87.26 or less, so the inequality is: x ≤ 87.26

Cos²x + sin2x - 1 = 0, 0° ≤ x ≤ 90°, tan x =

Answers

Answer:

0 and arctan(0.5)

Step-by-step explanation:

if sin2x=2sinx*cosx and 1=sin²x+cos²x, then

cos²x+2sinxcosx-sin²x-cos²x=0;

2sinxcosx-sin²x=0; (to divide by cos²x)

2tanx-tan²x=0;

$\left[\begin{array}{ccc}tan(x)=0\n tan(x)=1/2\end{array} \ => \ \left[\begin{array}{ccc}x=pi*n\nx=arctan(1/2)+pi*n\end{array} \ => \ \left[\begin{array}{ccc}x=0\nx=arctan(0,5)\end{array}$