Answer:
C. 24 ft.
Step-by-step explanation:
There is a right triangle which can be drawn in side the pyramid with height h, hypotenuse 25 ft and bas = 1/2 * 14 = 7.
So using Pythagoras:
25^2 = h^2 + 7^2
h^2 = 25^2 - 7^2
h^2 = 576
h = √576 = 24 ft.
Answer:
15% de los niños solo ven dibujos animados, 22.5% solo ven películas animadas, 27.5% ven programas sobre animales, 19% miran programas sobre animales y dibujos animados, y 16% ve los tres tipos de programas.
Step-by-step explanation:
Dado que en una encuesta a 200 niños sobre el programa de TV que más les gusta ver se encontró que 30 niños ven dibujos animados, 45 niños miran películas animadas, 55 niños miran programas sobre animales, 38 niños miran programas sobre animales y dibujos animados y 32 niños miran los tres tipos de programas, para determinar el porcentaje de cada grupo se deben realizar los siguientes cálculos:
30/200 = 15/100 = 15%
45/200 = 22.5/100 = 22.5%
55/200 = 27.5/100 = 27.5%
38/200 = 19/100 = 19%
32/200 = 16/100 = 16%
Así, 15% de los niños solo ven dibujos animados, 22.5% solo ven películas animadas, 27.5% ven programas sobre animales, 19% miran programas sobre animales y dibujos animados, y 16% ve los tres tipos de programas.
It literally means writing it out: seventeen
Answer:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
Let X the random variable who represents the variable of interest. We know from the problem that the distribution for the random variable X is given by:
We select a sample of size n=64. That represent the sample size.
From the central limit theorem we know that the distribution for the sample mean
is given by:
The mean for the sample distirbution would be given by:

And the deviation given by:

And then the distribution for the sample mean is:

The formula for the nth term of an arithmetic sequence is:

where a is the first term and d is the common difference.
Plugging the given values into the formula, we get:

The answer is b. 98.