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Nuetrik [128]
3 years ago
13

Someone please help me with this

Mathematics
1 answer:
lawyer [7]3 years ago
6 0

9514 1404 393

Answer:

  x = 39

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the squares of the sides of a right triangle is the square of the hypotenuse.

  x² +80² = 89²

  x² = 89² -80² = 7921 -6400 = 1521

  x = √1521

  x = 39

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Nielsen ratings are based on televisions in 50005000 households. Nielsen estimates that 12 comma 00012,000 people live in these
avanturin [10]

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, \hat p=0.65.

-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]

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%.

6 0
3 years ago
the theoretical probability that a man will have some form of color blindness is 8%,whereas the theoretical probability of a wom
lianna [129]

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

7 0
3 years ago
Find a rational number and an irrational number that are between 5.2 and 5.5. Include the decimal approximation of the irrationa
maw [93]

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.

5 0
3 years ago
IM BEGGING U I CANT FAIL MAN
Phantasy [73]

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

7 0
3 years ago
Manuel y Carlos encuentran un libro de matemática usado y en una de las hojas se observa la figura de un poliedro demasiado borr
Sergio039 [100]

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.

3 0
2 years ago
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