Whoever answers first, I will give Brainliest! :)

Mr. Anderson drove 168 miles in 3 1/2 hours. He then drove the next 2 1/4 hours at a rate of 5 miles per hour faster than the fi

BlackZzzverrR [31]

First we need to know how many miles per hour they drove the first time. This would be found by division. 168/3.5=48
Then we need to add 5 miles per hour for the average.48+5= 53
Next we need to multiply 2 1/4 by the new miles per hour 53*2.25=119.25
After that we need to know how many miles they drove 119.25+168=287.25 miles.
Finally to get an improper fraction we need to change 287.25 miles to it.
We already have 1/4 for .25 so we multiply 287 by 4 and add it to the 1/4 we already have and it makes it out to be 1149/4

Hope this helps!

8 0

3 years ago

What is the sum of all exterior angles of a regular octagon

8090 [49]

The 8 exterior angles of a regular octagon add up to 360 degrees

3 0

2 years ago

The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d

aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

Where Average waiting time = μ = 2.5

The function f(t) becomes

$f(t)=0.4e^{-0.4t}$

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$

which is equal to 0.01

Solve the equation for x

$\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01$

Take natural log on both sides

$ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53$

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

3 0

2 years ago

Use the properties of quadrilaterals to complete the statements. A has exactly one pair of parallel sides. A must have two pairs

vesna_86 [32]

Answer:

1. Trapezoid

2. Kite

3. Square, Rhombus

Step-by-step explanation:

Given - Use the properties of quadrilaterals to complete the statements.

To find - A ..... has exactly one pair of parallel sides.

A ....... must have two pairs of adjacent sides congruent.

A ........ must have all congruent sides.

Proof -

A Trapezoid has exactly one pair of parallel sides.

A Kite must have two pairs of adjacent sides congruent.

A Square, Rhombus must have all congruent sides.

Reason -

A trapezoid is a quadrilateral with exactly one pair of parallel sides.

A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.

A rhombus is a parallelogram with four congruent sides.

A square can be defined as a rhombus which is also a rectangle . In other words, a square is a parallelogram with four congruent sides and four right angles.

5 0

3 years ago

HELP<br> PLEASEEE NEED THIS ASSPPP!!!!!!

ludmilkaskok [199]

Answer:

-2/9

Step-by-step explanation:

5 0

2 years ago