Answer:
We are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%
Step-by-step explanation:
-From the given information, 
.
-We calculate the confidence interval using this value at 95% confidence level:
![CI=\hat p\pm z \sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\\\=0.65\pm 1.96\times \sqrt{\frac{0.65\times 0.35}{12000}}\\\\\\=0.65\pm 0.0085\\\\\\=[0.6415,0.6585]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20z%20%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%29%7D%7Bn%7D%7D%5C%5C%5C%5C%5C%5C%3D0.65%5Cpm%201.96%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.65%5Ctimes%200.35%7D%7B12000%7D%7D%5C%5C%5C%5C%5C%5C%3D0.65%5Cpm%200.0085%5C%5C%5C%5C%5C%5C%3D%5B0.6415%2C0.6585%5D)
So, the 95% confidence interval is (0.6515,0.6585).
Hence, we are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%.
Answer:
If you have a group of 700 men, 56 will be color blind
Step-by-step explanation:
The theoretical probability that a man will have some form of color blindness is 8%.
Number of men in group = 700
Number of men with color blindness in a group of 700 men
If you have a group of 700 men, 56 will be color blind
Croscheck 8% of 700 is 56
Answer:
- Rational: 5.39
- Irrational: √29 ≈ 5.39
Step-by-step explanation:
Any number you can write completely that has a value between the given numbers will be a suitable rational number.
There are many ways to find irrational numbers in the given range. You can make one up, such as ...
... 5.3102003000400005000006...
a non-terminating, non-repeating decimal. (This one has a pattern that makes it easy to extend, but that doesn't make it rational.)
Or, you can use roots, logs, trig functions, exponential functions, or any of the other functions we study that have irrational values. You can add, subtract, or combine them in other ways. (tan(70°)+∛20, for example) For this, I chose √29, because that square root is between the given numbers and 29 is not a perfect square.
Answer:
order
500x+38000
500(22)+38000
11000+38000
49000
Step-by-step explanation:
We can write the following equation
38000+500x= salary
where x is the number of air conditioners sold
To get the answer just plug in 22 for x
38000+500(22)=49000
Answer:
Carlos tiene razón. El poliedro es un cubo.
Step-by-step explanation:
Comencemos analizando el número de caras del dodecaedro y del cubo.
El dodecaedro está conformado por 12 caras.
El cubo en cambio, está conformado por 6 caras.
En cuanto a aristas el dodecaedro tiene 30 aristas y en cambio el cubo tiene 12. Por ende, descartamos la idea de que el poliedro sea un dodecaedro.
Finalmente en cuanto a vértices, el dodecaedro tiene 20 vértices y el cubo tiene 8 vértices.
Si sumamos el número de caras y el número de vértices en el cubo obtenemos :
6 + 8 = 14
Con esto, verificamos que la figura borrosa es de un cubo y que Carlos tiene razón.
