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snow_lady [41]
1 year ago
5

Luna is making a rope ladder. Each step of the ladder is 2 1/3 feet wide and uses an additional 1/2 foot on each end of the step

for the knot. Luna has a rope that is 30 feet long. How many steps can she make from the rope?
Mathematics
1 answer:
koban [17]1 year ago
6 0

By taking the quotient between the total length and the length needed for each step, we conclude that Luna can make 9 steps.

<h3>How many steps can she make from the rope?</h3>

To find this, we need to take the quotient between the total length of the rope and the length needed for each step.

She has a total length of 30ft.

For each step she needs (2 + 1/3) ft plus (1/2) ft for each knot, and there are two knots, then each step needs: (2 + 1/3)ft + 2*(1/2)ft = (3 + 1/3) ft.

Then the number of steps that can be made is:

N = (30 ft)/(3 + 1/3) ft. = 9

She can make 9 steps or the lader.

If you want to learn more about quotients:

brainly.com/question/8952483

#SPJ1

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3. What are the roots of the polynomial y = x³ - 8?
zzz [600]

Step-by-step explanation:

x^3 is a perfect cube, 8 is a perfect cube, so we use difference of cubes.

{a}^{3}  -  {b}^{3}  = (a - b)( {a}^{2}  + ab +  {b}^{2} )

Cube root of x^3 is x.

Cube root of 8 is 2

So

a=x

b= 2.

(x - 2)( {x}^{2}  - 2x + 4)

Set these equations equal to zero

x - 2 = 0

x = 2

{x}^{2}  - 2x + 4 = 0

If we do the discriminant, we get a negative answer so we would have two imaginary solutions,

Thus the only real root is 2.

If you want imaginary solutions, apply the quadratic formula.

1 + i  \sqrt{ 3 }

and

1 - i \sqrt{3}

4 0
1 year ago
it takes 21 minutes for 5 people to paint 7 walls. how many minutes does it take 3 people to paint 10 walls
tensa zangetsu [6.8K]
21/7=3mins per wall with 5 people.
Because we assume that all of the people paint at the same rate, 3 X 5=15 mins for one person working alone.
15/3=5 mins per wall with 3 people X 10 people= 50 mins for 3 people to paint 10 walls.


The answer is 50 mins.
8 0
3 years ago
I need a word problem that has a negative - positive
AleksandrR [38]

Answer:

Here it is

Step-by-step explanation:

You are 58 dollars in debt, and your friend pays you 73 dollars.  How much money do you have?  Does that work for you?

8 0
2 years ago
Consider independent simple random samples that are taken to test the difference between the means of two populations. The varia
Arturiano [62]

Answer:

d. t distribution with df = 80

Step-by-step explanation:

Assuming this problem:

Consider independent simple random samples that are taken to test the difference between the means of two populations. The variances of the populations are unknown, but are assumed to be equal. The sample sizes of each population are n1 = 37 and n2 = 45. The appropriate distribution to use is the:

a. t distribution with df = 82.

b. t distribution with df = 81.

c. t distribution with df = 41.

d. t distribution with df = 80

Solution to the problem

When we have two independent samples from two normal distributions with equal variances we are assuming that  

\sigma^2_1 =\sigma^2_2 =\sigma^2

And the statistic is given by this formula:

t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}

Where t follows a t distribution with n_1+n_2 -2 degrees of freedom and the pooled variance S^2_p is given by this formula:

\S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}

This last one is an unbiased estimator of the common variance \sigma^2

So on this case the degrees of freedom are given by:

df= 37+45-2=80

And the best answer is:

d. t distribution with df = 80

5 0
3 years ago
A coin flipped 10 times and the results is recorded. What is the probability of getting at least 8 tails ?
DochEvi [55]

Answer: 0.0546875

Step-by-step explanation:

The number of times the coin landing head 8 out of 10 is simply:

C(10, 8)/2^10. At least 8 means, 8 or more. Since the events here are dependent on themselves the answer would be:

[ C(10, 8) + C(10, 9) + C(10, 10) ] / 2^10 = 56/1024 = 0.0546875

6 0
3 years ago
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