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Bess [88]
2 years ago
15

A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the amount poured into the bott

les follows a normal distribution with mean 16.05 ounces with a standard deviation of .1005 ounces. If four bottles are randomly selected each hour and the number of ounces in each bottle is measured, then 95% of the means calculated should occur in what interval?
Mathematics
1 answer:
DiKsa [7]2 years ago
4 0

Answer:

Between 15.95 ounces and 16.15 ounces.

Step-by-step explanation:

We have the following value m, being the mean, sd, being the standard deviation and n, the sample size:

m = 16.05

sd = 0.1005

n = 4

We apply the formula of this case, which would be:

m + - 2 * sd / (n ^ 1/2)

In this way we create a range, replacing we have:

16.05 + 2 * 0.1005 / (4 ^ 1/2) = 16.1505

16.05 - 2 * 0.1005 / (4 ^ 1/2) = 15.9495

Which means that 95% of all samples are between 15.95 ounces and 16.15 ounces.

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Ber [7]

⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.

Y

¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden

para expresar el peso de cada uno de ellos, tenemos

la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:

8 kg/4 s

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2 years ago
What are the solutions to the absolute value inequality |x − 70| ≤ 3? Remember, the inequality can be written as −3 ≤ x − 70 ≤ 3
galina1969 [7]

Answer:

B on edge

Step-by-step explanation:

At least 67 inches, but at most 73 inches

8 0
2 years ago
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this squared based pyramid is cut horizontally at a height of 15cm to leave this frustum base area=10cm
scoundrel [369]

Answer:

583.33 cm³

Step-by-step explanation:

From the image attached, the total height (H) of the pyramid is 30 cm, the height of the frustrum (h) = 15 cm, the Frustrum base = lower base = B = 10 cm . To find the length of the upper base (b), we use:

\frac{b}{H-h}=\frac{B}{H}\\  b=(H-h)\frac{B}{H}\\b=(30-15)\frac{10}{30}=5\\b=5\ cm

The volume of the frustrum is given by:

V=\frac{1}{3}h(B_1+B_2+\sqrt{B_1B_2} )\\ Where\ B_1\ is \ the\ area \ of\ the\ upper\ base= 5cm*5cm=25cm^2\\B_1\ is \ the\ area \ of\ the\ lower\ base= 10cm*10cm=100cm^2\\V=\frac{1}{3}(10)(25+100+\sqrt{25*100} )=583.33\\V=583.33\ cm^3

6 0
2 years ago
An aspiring engineer wants to build a timer by taking a glass cylinder, filling it with water, suspending it in the air, and cut
tangare [24]
Level, x       1      0.8    0.65
time, y        0        1       2

The graph is not a straight line, it is curved. You can observe this only if you include the point (1,0), which is the level at the begining (100%)

The y - intercept is the full level, at the beginning of the experiment.
 

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bazaltina [42]

Let us say that the intersection point of lines AB and CD is called point E. The lines AB and CD are perpendicular to each other which also means that the triangle CEB is a right triangle.

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Now using the hypotenuse formula since the triangle is right triangle, we can find for the radius or line CB:

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CB^2 = (4 ft)^2 + (3 ft)^2

CB^2 = 16 ft^2 + 9 ft^2

CB^2 = 25 ft^2

<span>CB = 5 ft = radius</span>

7 0
2 years ago
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