I need help! this question is from my iready eighth grade test and I don’t understand it!!

If a fair coin is tossed 6 times, what is the probability, to the nearest thousandth, of getting exactly 6 tails?

xxTIMURxx [149]

<h2>Answer:</h2>

$\frac{1}{64}$

<h2>Step-by-step explanation:</h2>

$The\ probability\ of\ tails\ per\ flip\ is\ \frac{1}{2}$

$so\ the\ probability\ of\ getting\ six$

$tails\ is$

$\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{64}$

$The\ probability\ of\ getting\ tails\ every$

$time\ you\ multiply\ them\ is\ the$

$probobility\ of\ getting\ tails\ all\ six$

$times?$

<em>I hope this helps you</em>

3 0

2 years ago

What is an scale and interval

den301095 [7]

Answer:

The space between each value on the scale of a bar graph is called an interval. In other words, the interval is the relation between the units you're using, and their representation on the graph, or the distance between marks. You choose intervals based on the range of the values in the data set.^-^

Step-by-step explanation:

Hoped I Have Helped Have Nice Day "Peace"

4 0

3 years ago

The perimeter of a triangle is 32 feet. One side of the triangle is 3 times the second side. The third side is 12 feet longer

Ivenika [448]

We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:

GiveN:

One side is 3 times the second side.
Third side is 12 feet longer than the second side.

As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.

So let the second side be x

Then,

First side = 3x
And, third side = x + 12

We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:

$3x + x + x + 12 = 32$

Solving it further,

$5x + 12 = 32$

Subtracting 12 from both sides,

$5x + 12 - 12 = 32 - 12$

$5x = 20$

Dividing 5 from both sides,

$\frac{5x}{5} = \frac{20}{5}$

$x = 4$

Then,

First side = 3x = 12 feet
Second side = 4 feet
Third side = x + 12 = 16 feet

And we are done with the answer !!

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

4 0

3 years ago

How to find the scale factor of something

AysviL [449]

Answer:

To find the scale factor, locate two corresponding sides, one on each figure. Write the ratio of one length to the other to find the scale factor from one figure to the other. In this example, the scale factor from the blue figure to the red figure is 1.6 : 3.2, or 1 : 2.

Step-by-step explanation:

5 0

3 years ago

a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.

Radda [10]

Answer:

15

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

$x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x= \frac{-b-\sqrt{b^{2}-4ac } }{2a}$

$x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}$

$x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}$

$x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};$

$x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005$

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

$(-714.005)^2+700(-714.005)-10000=-0.360$

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

$(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725$

3 0

2 years ago