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Nadya [2.5K]
3 years ago
12

a sphere and a cone have the same volume. each figure has a radius of 4 inches. what is the volume of the cone

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0
Area of cone is pie x r^2 x (the height of the cone/3)
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La profesora de matemáticas solicita a dos estudiantes que describan las cosas que les han parecido interesantes de los números
Makovka662 [10]

Answer:

Respuesta D

Step-by-step explanation:

Paola afirma: Todo número compuesto par, se puede escribir como la multiplicación de factores primos.

Esta afirmación es cierta, pues es un caso  de la afirmación de que todo número natural mayor que uno se puede escribir como multiplicación de números primos. A este proceso se le llama descomposición en factores primos.

Edwin afirma: Todo número compuesto impar se puede escribir como la suma de dos números primos.

Esta afirmación es falsa. Note que al sumar dos números impares de la forma 2k+1 y 2m+1 para k distinto de m, se obtiene

2k+1+2m+1 = 2(km+1)

Es decir, la suma de dos números impares es siempre par.

Note que a excepción de 2, todo número primo es impar. Para que esta afirmación fuera cierta, necesariamente tendría que pasar que cualquier número impar k se escriba de la forma p+2 donde p es un número primo. Esto es equivalente que para cualquier número impar k, el número k-2 sea primo.

Basta con dar un ejemplo para ver que esto no pasa. Tomemos k=11. En este caso, k-2 = 9, el cuál no es un número primo. Entonces 11 no se puede  descomponer como la suma de dos números primos.

5 0
3 years ago
Can you simplyfy 18/33
nekit [7.7K]
6/11 is a simplified version of the fraction and its the most simple you can get. 
5 0
3 years ago
Read 2 more answers
The weights of 67 randomly selected axles were found to have a variance of 3.85. Construct the 80% confidence interval for the p
VLD [36.1K]

Answer:

3.13

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 67

Variance = 3.85

We have to find 80% confidence interval for the population variance of the weights.

Degree of freedom = 67 - 1 = 66

Level of significance = 0.2

Chi square critical value for lower tail =

\chi^2_{1-\frac{\alpha}{2}}= 51.770

Chi square critical value for upper tail =

\chi^2_{\frac{\alpha}{2}}= 81.085

80% confidence interval:

\dfrac{(n-1)S^2}{\chi^2_{\frac{\alpha}{2}}} < \sigma^2 < \dfrac{(n-1)S^2}{\chi^2_{1-\frac{\alpha}{2}}}

Putting values, we get,

=\dfrac{(67-1)3.85}{81.085} < \sigma^2 < \dfrac{(67-1)3.85}{51.770}\\\\=3.13

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.

8 0
3 years ago
The regression equation below relates the scores students in an advanced statistics course received for homework completed and f
serg [7]

Answer: d.) None of the answer choices is correct

Step-by-step explanation:

The homework score is an independent variable (known) and on the x-axis, while the midterm exam is the dependent variable, so it's on the y-axis

y = 0.91x - 94.4; and x=420

Substitute x as 420 into the equation.

y = 382.2 - 94.4 = 287.8, or approximately 288.

And this value isn't in the options above.

7 0
3 years ago
How much interest is earned on $210 at 8% for 2 years?<br> $3.60<br> $360<br> $410<br> $33.60
oksano4ka [1.4K]
You would earn $33.60 of interest



Explanation: To find the interest you would multiply 210 by .08 (the percent in its decimal form) by 2 to get 33.60
8 0
3 years ago
Read 2 more answers
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