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3 years ago

What is the absolute value of –27? A. –27 B. 27

2 answers:

8 0

Absolute value takes the distance of the number, not the direction. That means that the sign would be always positive.

|-27| = 27

Answer: 27

Serga [27]3 years ago

6 0

Absolute value makes it positive
answe is 27
the answer is B

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George bought 6 gallons of gasoine for $20.34.

Kryger [21]

Answer:

Step-by-step explanation:

Divide 20.34 by 6 and you should get 3.39

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3 years ago

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In 22, you're looking for the vertical height of the triangle. You're given the angle opposite the side you want to find (which I'll call $x$ ) and the length of the hypotenuse. This sets you up with the relation

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yarga [219]

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Step-by-step explanation:

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An airplane travels 290 km between Austin and Dallas in 1 h 15 min. What is it’s average speed?

aniked [119]

The average speed of the plane between Austin and Dallas is 232 kmph

Solution:

Given that,

Total distance traveled by airplane = 290 km

Time taken for travel between Austin and Dallas = 1 hour 15 minute

Let us convert the time taken to hours

$\begin{array}{l}{1 \text { minute }=\frac{1}{60} \text { hours }} \\\\ {15 \text { minutes }=\frac{15}{60}=\frac{1}{4}} \\\\ {\text { 1 hour } 15 \text { minutes }=1 \frac{1}{4} \text { hours }=\frac{1 \times 4+1}{4}=\frac{5}{4} \text { hours }}\end{array}$

The average speed is given as:

$\text { Average speed }=\frac{\text { total distance }}{\text { total time taken }}$

Plugging in the values, we get,

$\text { Average speed }=\frac{290}{\frac{5}{4}}=\frac{290}{5} \times 4=232$

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3 years ago

ack has a collection of 10 pairs of gloves in his wardrobe. Before a business trip, he has to pack his luggage, and he selects 8

Leto [7]

Answer:

$\frac{{10 \choose 8}2^8}{{20 \choose 8}}\approx 0.091$

Step-by-step explanation:

We can think of the 10 pairs of gloves as simply being gloves of different colors. Picking no matching pair is the same as picking no 2 gloves of the same color. To compute the probability of doing so, we can compute the number of ways to select 8 gloves from different colors, and divide that by the total number of ways to select 8 random gloves out of the 20 gloves.

To compute the number of ways in which we can select 8 gloves from different colors, we can think of the choosing procedure as follows:

1st step- We choose from which 8 colors are we going to pick gloves from. So we have to pick 8 out of 10 colors. This can be done in ${10 \choose 8}$ ways.

2nd step - We now have to choose which glove are we going to pick from each of the chosen colors. Either the left one or the right one. For the first chosen color we have 2 choices, for the second chosen color we have 2 choices, for the third chosen color we have 2 choices, and so on. Therefore the number of ways in which we could choose gloves from the chosen colors is $2^8$

And so the total number of ways in which we could choose 8 gloves from different colors is

${10 \choose 8 }2^8$

Now, the total numer of ways in which we could choose 8 gloves out of the 20 gloves is simply ${20 \choose 8}$

So the probability of picking no mathing pair is

$\frac{{10 \choose 8}2^8}{{20 \choose 8}}\approx 0.091$

4 0

3 years ago