What is the square root of 81

56 times a number minus 13 is equal to 6 less than the number.

Eddi Din [679]

Answer:

Step-by-step explanation:

The steps in the photo above

I hope that is useful for you :)

4 0

3 years ago

Kennedy’s car used 11 gallons to travel 319 miles. How many gallons of gas would she need to travel 406miles

makvit [3.9K]

In the US, the gallon is a unit of measurement for liquids like milk, fuel, and water. If the petrol in your automobile is nearly empty, you should stop and get at least a few more gallons. A gallon is equal to 4 quarts, or 3.785 liters, of liquid.

<h3>Explain about the gallons?</h3>

Eight pints make up a gallon, which is a unit of measurement for liquids. It is equivalent to roughly 4.546 liters in Britain. It is roughly equivalent to 3.785 liters in America.

A gallon of water in the US weighs 8.345 pounds or 3.785 kilogram at 17 degrees Celsius, while a gallon of water in the imperial system weighs 10.02 pounds or 4.545 kilogram. The Imperial gallon weighs 16.6% less than 1 US gallon (gal).

Gas consumption is affected by driving on hills and mountainous terrain, by the state of the roads (such as stop-and-go city traffic or highway travel), and by the weather (such as high winds or snow). We can safely infer that under a number of

Answer is 14 gallons of gas need to travel 406 miles

To learn more about gallons refer to:

brainly.com/question/26007201

#SPJ9

5 0

1 year ago

Which expression is not equivalent to 8+(n-4)

MrRa [10]

Where's your options? give the full info please!

4 0

3 years ago

An instructor in a college class recently gave an exam that was worth a total of 100 points. The instructor inadvertently made t

solniwko [45]

Answer:

B) Method 2 will increase the standard deviation of the students' scores.

Step-by-step explanation:

Given that an instructor in a college class recently gave an exam that was worth a total of 100 points.

The average score for his students was 43 and the standard deviation of the scores was 5 points.

And now he is considering two different strategies for rescaling the exam results of which:

Method 1 = Add 17 points to everyone's score.

Method 2 = Multiply everyone's score by 1.7 .

And we have to check what will be the impact of these methods on the standard deviation of the students' scores.

For this let us consider a simple example to understand this:

Firstly, Formula for calculating Standard Deviation = $\sqrt{\frac{\sum (X-Xbar)^{2}}{n-1}}$

Suppose,

X X - Xbar $(X - Xbar)^{2}$

3 3 - 6 = -3 -3 * -3 = 9

5 5 - 6 = -1 -1 * -1 = 1

10 10 - 6 = 4 4 * 4 = 16

<em>Mean of above data, Xbar</em> = $\frac{3+ 5+10}{3}$ = 6

<em>Standard Deviation of data </em>= $\sqrt{\frac{26}{3-1} }$ = 3.6055

Now let us suppose that we multiply each value of above data with 2 so the new data will be:

X X - Xbar $(X - Xbar)^{2}$

3*2 = 6 6 - 12 = -6 -6 * -6 = 36

5*2 = 10 10 - 12 = -2 -2 * -2 = 4

10*2 =20 20 - 12 = 8 8 * 8 = 64

<em>Mean of new data, Xbar </em>= $\frac{6+ 10+20}{3}$ = 12

<em>Standard Deviation of new data</em> = $\sqrt{\frac{104}{3-1} }$ = 7.2111

<em>Hence, we see that when we multiply any value to the data the standard deviation will increase and in other words it will multiplied by that value which value we multiplied with each data value i.e. when we multiply each data value with 2 the standard deviation also get multiplied by as </em>

3.6055 * 2 = 7.2111

Therefore option B is correct that Method 2 will increase the standard deviation of the students' scores.

<em>And on the other hand Similarly by adding any constant to the data the Standard Deviation will remain same. Therefore Method 1 will have no impact on standard deviation of the students' scores.</em>

8 0

3 years ago

The length of a rectangle is 4 more than it's width. Write an equation that will determine the dimensions if the area of the rec

Firdavs [7]

Answer: The equation is W^2 + 4W - 96= 0

{Please note that ^2 means raised to the power of 2}

Step-by-step explanation: We have been given hints as to the measurement of the length and width of the rectangle. The length is given as four more than the width. What that means is that whatever is the width, we simply add four to get the measurement of the length. Therefore if the width is W, then the length is W + 4.

That is,

L = W + 4 and

W = W

Also we have the area given as 96.

Remember that the area of a rectangle is given as

Area = L x W.

In this question, the Area is expressed as

Area = (W + 4) x W

96 = W^2 + 4W

Subtract 96 from both sides of the equation and we have

W^2 + 4W - 96 = 0.

We now have a quadratic equation from which we can determine the dimensions of the rectangle

5 0

4 years ago