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Anuta_ua [19.1K]
3 years ago
14

A cube is packed with decorative pebbles. If the cube has a side length of 2 inches, and each pebble weighs on average 0.5 lb pe

r cubic inch, what is the total weight of the pebbles in the cube?
Mathematics
1 answer:
kow [346]3 years ago
5 0

We can solve this problem by first solving for the total volume of the cube. The formula for volume of cube is given as:

V cube = s^3

Where s is the length of one side which is equivalent to 2 inches. Therefore:

V cube = (2 inches)^3

V cube = 8 cubic inch

 

Assuming that all the pebble fills the cube without any spaces, then the total weight of the pebbles in the cube would simply be:

Total weight = 0.5 lb per cubic inch * 8 cubic inch

Total weight = 4 lb

 

Therefore, the total weight of the pebbles in the cube is <u>4 lbs</u>.

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Suppose the FAA weighed a random sample of 20 airline passengers during the summer and found their weights to have a sample mean
Orlov [11]

Answer:

Step-by-step explanation:

Given Parameters

Mean, x = 180

total samples, n = 20

Standard dev, \sigma = 30

\alpha = 1 - 0.95 = 0.05 at 95% confidence level

Df = n - 1 = 20 - 1 = 19

Critical Value, t_\alpha, is given by

t_{c}=t_{\alpha, df} = t_{0.05,19} = 1.729

a).

Confidence Interval, \mu, is given by the formula

\mu = x +/- t_c \times \frac{s}{\sqrt{n} }

\mu = 180 +/- 1.729 \times \frac{30}{\sqrt{20} }

\mu = 180 +/-11.5985

191.5985 > \mu > 168.4015

b).

Critical Value, t_{\alpha/2}, is given by

t_{c}=t_{\alpha/2, df} = t_{0.05/2,19} = 2.093

Confidence Interval, \mu, is given by

\mu = x +/- t_c \times \frac{s}{\sqrt{n} }

\mu = 180 +/- 2.093 \times \frac{30}{\sqrt{20} }

    = 180 +/- 14.0403

    = 165.9597 < \mu < 194.0403

8 0
3 years ago
Is 1/4 closer to 0, 1/2, 1
vivado [14]

Answer:

it is closer to 0 :):):):):)

3 0
3 years ago
PLEASE HELP ME!!! HIGHSCHOOL MATH!!!
inna [77]
We know that
the equation of a vertical parabola in vertex form
y=a*(x-h)²+k
(h,k)------> (0,5)
y=a*(x-0)²+5
y=a*x²+5
substitute the point (2,9) in the equation
9=a*(2)²+5------> 9=4*a+5-------> 4*a=9-5-----> 4*a=4-----> a=1

the equation of the vertical parabola is
y=x²+5

the equation of a horizontal parabola in vertex form
x=a*(y-k)²+h
(h,k)------> (0,5)
x=a*(y-5)²+0
x=a*(y-5)²
substitute the point (2,9) in the equation
2=a*(9-5)²------> 2=16*a------> a=1/8

the equation of the horizontal parabola is
x=(1/8)*(y-5)²

the answer is
the equation of the vertical parabola is y=x²+5
the equation of the horizontal parabola is x=(1/8)*(y-5)²

see the attached figure

4 0
4 years ago
WILL
Free_Kalibri [48]

Answer:

67.6

Step-by-step explanation:

first, to find the mean you add up all the numbers and you would get 338. Next, you divide by how many numbers there are (5) so 338 divided by 5 equals 67.6

5 0
3 years ago
Our bill was $5.79. Avon has a 5.25% tax and our waitress earned a 15% tip. What was the total bill?
oksano4ka [1.4K]

Answer:

$6.96

Step-by-step explanation:

5.25% of $5.79

5.79 × 5.25/100 = $0.303975 or $0.30

15% of $5.79

5.79 × 15/100 = $0.8685 or $0.87

total

$0.29 + $0.87 + $5.79 = $6.96

3 0
3 years ago
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