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Kitty [74]
3 years ago
10

A coin is tossed 6 times. what is the probability that the number of heads obtained will be 2? express your answer as a fraction

or a decimal number rounded to four decimal places.
Mathematics
1 answer:
Valentin [98]3 years ago
4 0
For this you will have to make a tree diagram
it will be so much easier although there is a way to do it

probability of getting heads is = 1/2 there for 10 tosses its (1/20)^10

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A 50 foot rope weighing a total of 32 lbs extended over a cliff that is 35 feet to the ground. A large 8 pound bucket with 19 ga
larisa86 [58]

Answer:

A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is W=16(50-x)+(19-\frac{x}{5})(8.3)x and  the work to get the bucket to the top of the cliff is 3726 foot-lbs

Step-by-step explanation:

Work done to lift the rope by distance x feet:

W_1=32(\frac{50-x}{2})

Work done to lift the bucket by distance x feet:

W_2=(19-\frac{x}{5})(8.3)x

On reaching top 7 gallons of water spilled out so , on going up by x feet \frac{7x}{35}=\frac{x}{5} gallons of water spilled out.

a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:

W=16(50-x)+(19-\frac{x}{5})(8.3)x

Now the work to get the bucket to the top of the cliff i.e. x =35

W=16(50-35)+(19-\frac{35}{5})(8.3)(35)

W=3726

Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is W=16(50-x)+(19-\frac{x}{5})(8.3)x and  the work to get the bucket to the top of the cliff is 3726 foot-lbs

5 0
2 years ago
An estimated regression equation that was fit to estimate ductility in steel using its carbon content was found to be significan
AnnZ [28]

Answer:

At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.

Step-by-step explanation:

Hello!

Considering the dependent variable:

Y: Ductility in steel.

And the independent variable:

X: Carbon content of the steel.

The linear regression was estimated and a prediction interval was calculated.

The prediction interval is calculated to predict a value that the variable Y (response variable) can take for a given value of the variable X (predictor variable) in the definition range of the linear regression line. Symbolically [Y/X=x_{0}]

In this case 95% prediction interval for Y/X=0.5

At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.

I hope it helps!

6 0
3 years ago
Si el valor de entrada es el nombre y el valor de salida es la letre con la que empieza
kiruha [24]

Answer:

lol warknvvfjbvbbvcbb

3 0
3 years ago
Divide.<br> 3 5/9 ÷ -2 2/3<br> Enter your answer as a mixed number, in simplified form, in the box.
kvv77 [185]
-1 and 1/3 because you convert to a regular fraction and get (32/9)/(-8/3), then you flip the fraction and multiply
3 0
3 years ago
What are the y-coordinates for the solution to the system of equations:{y−x2+9x−6=0
luda_lava [24]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
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