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Marina86 [1]
3 years ago
10

What is the volume, in cubic feet, of a cube with an edge length of 18 feet?

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0

Answer:

V=a³=18³=5832ft³

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A growth-mindset researcher plans to take an SRS of 200 teenagers from the population of teenagers in North America to see what
Sonbull [250]

Answer:

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

75% of teenagers in North America are pursuing a goal they have set for themselves.

This means that p = 0.75

Sample of 200.

This means that n = 200.

What are the mean and standard deviation of the sampling distribution of p?

By the Central Limit Theorem

Mean \mu = p = 0.75

Standard deviation s = \sqrt{\frac{0.75*0.25}{200}} = 0.0306

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

4 0
3 years ago
6multiplied by 3 to the -2nd power minus 3 to the fourth power multiplied by 9 plus 4 to the 0th power
Contact [7]
Answer in fraction form is -2182/3
Answer in decimal form is -727.3*
Answer in Mixed number form -737 1/3
5 0
3 years ago
Tan(x+pi/2)= negative cot x
DIA [1.3K]
I'm only going to alter the left hand side. The right side will stay the same the entire time

I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)

So with that in mind, this is how the steps would look:

tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
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Identity is confirmed

6 0
3 years ago
A candle has been burning for 20 min and is now 25 cm tall. In an hour it will be 10 cm tall. Which equation models the height y
stiv31 [10]

Answer:

(y - 25) = - 0.25(x - 20)

Step-by-step explanation:

Given that :

Height of candle after burning for 20 minutes = 25 cm

Height after burning for 1 hr (60 minutes) = 10 cm

Height (y) in cm of candle x minutes after being lit:

Using the equation :

(y - y1) = m(x - x1)

m = (change in y / change in x)

Change in height within 60 minutes :

Height at 20 minutes = 25cm

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Change in height per hour = (25 - 10) = 15cm

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y1 = 25 ; x1 = 20

(y - y1) = m(x - x1)

(y - 25) = - 0.25(x - 20)

4 0
2 years ago
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