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Karolina [17]
3 years ago
5

The mean height of women in a country​ (ages 20-​29) is 64.5 inches. A random sample of 75 women in this age group is selected.

What is the probability that the mean height for the sample is greater than 65 ​inches? Assume o=2.99.
Mathematics
1 answer:
Allushta [10]3 years ago
4 0

Answer:

0.07378

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ/√n, where

x is the raw score = 65 inches

μ is the population mean= 64.5 inches

σ is the population standard deviation = 2.99

n = 75

z = 65 - 64.5 /2.99/√75

z = 0.5/0.345255461

z = 1.4482

Probability value from Z-Table:

P(x<25) = 0.92622

P(x>25) = 1 - P(x<25)

= 1 - 92622

= 0.07378

The probability that the mean height for the sample is greater than 65 ​inches is 0.07378

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Un deposito de agua tiene forma de prisma rectangular con los lados de la base de 25 y 20 metros. Calcula la altura que pueda co
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La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.

Step-by-step explanation:

Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus 3 dimensiones: longitud*ancho*altura. El volumen se expresa en unidades cúbicas.

En este caso, se conoce la longitud y el ancho, cuyos valores son 25 y 20 metros. A su vez, se sabe que el depósito de agua debe contener 1000 m³. Entonces, siendo:

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Y reemplazando los valores se obtiene:

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Resolviendo:

1000 m³= 500 m²* altura

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<u><em>La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.</em></u>

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2 years ago
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Answer:

m = 35.65  \\  b = 17.25

Step-by-step explanation:

srry if its wrong but I think it's right :)

btw for the first one

p=19.53

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Answer:

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Step-by-step explanation:

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So, here SI  = SI = \frac{400 \times 14 \times 0.5}{100}   =  28

or, SI = $28

Hence, the amount of interest payable after 6 months is $28.

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