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babunello [35]
3 years ago
9

A person who is six feet tall casts a 3-foot-long shadow. A nearby pine tree casts a 15-foot-long shadow.

Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0

Answer:

30 feet

Step-by-step explanation:if a man 6 feet talll cast a 3 foot shadow that means its half how tall u are so the pine is 30 feet tall and cast a 15 foot shadow

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[(2/3)^2]^3 X (2/3)^2 ÷ (2/3)^8 ​
skad [1K]

Answer:

Reduce the expression, if possible, by cancelling the common factors.[(2/3)^2]^3 X (2/3)^2 ÷ (2/3)^8 ​ = 1

Step-by-step explanation:

4/9^3 x (2/3)^2 ÷ (2/3)^8

4/9^3 x 4/9 ÷ (2/3)^8

4/9^3 x 4/9 divided by 256/6561

64/729 x 4/9 divided by 256/6561

= 1

8 0
2 years ago
3/2+t=1/2 how to slove
Nataly [62]
First, let's isolate t! Make sure to change your signs when you change from one side of the equation to the other. 

3/2 + t = 1/2
          t = 1/2 - 3/2

Now, we can solve for t!
          
          t = 1/2 - 3/2
          t = -2/2
          t = -1

Hope this helps!
Message me if you have any questions :)
8 0
4 years ago
Read 2 more answers
What is the value of this expression?
jekas [21]

Answer:

108

Step-by-step explanation:

we first add 7+8=15 then 15×2=30 30+6=36 36×2=108

8 0
3 years ago
Read 2 more answers
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden
Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that n = 2161, \pi = \frac{1214}{2161} = 0.5618

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}

M = 0.0209

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

4 0
3 years ago
PLEASE HELP!!<br> Solve for x and y<br> 1/3x-2=1/3x+3
goldfiish [28.3K]

Answer:

no solution, 1/3x - 2 ≠ 1/3x + 3

where is the 'y'?

Step-by-step explanation:

3 0
3 years ago
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