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Ganezh [65]
3 years ago
12

Raul wants to put wood shavings in his ferrets cage. The floor of the cage measures 1 yard wide by 7 feet long. On bag of shavin

gs covers 5 square feet. How many bags will Raul Have to buy to cover the floor of the cage?
Mathematics
1 answer:
elixir [45]3 years ago
3 0

Answer:

Raul have to buy 5 bags of wood shaving to cover the floor of the cage.

Step-by-step explanation:

Given:

Dimension of the cage;

Length of the cage = 7 feet

Width of the cage = 1 yard.

Area of 1 bag of wood shavings = 5 square feet.

We need to find the number of bags Raul Have to buy to cover the floor of the cage.

Solution:

Now we can see that;

Width of the cage = 1 yard.

So we will convert yard into feet.

Now we know that;

1 yard = 3 feet

Width of the cage = 3 feet

Now we will find the area of the cage.

Area of the cage is equal to Length of the cage multiplied by width of the cage.

framing in equation form we get;

Area of the cage = 7\times3 =21\ ft^2

Now we will find the number of bags required to cover the cage.

number of bags required to cover the cage can be calculated by dividing Area of the cage by Area of 1 bag of wood shavings.

framing in equation form we get;

number of bags required to cover the cage = \frac{21}{5}=4.25

Hence we can say that;

Raul have to buy 5 bags of wood shaving to cover the floor of the cage.

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An environmental scientist wants to use a 95% confidence interval to estimate the mean number of hours per day her solar panel r
MissTica

Answer:

a) The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

b) The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 48 - 1 = 47

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 47 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0117

The margin of error is:

M = T*s = 2.0117*2.3 = 4.6

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7.1 - 4.6 = 2.5 hours of sunlight per day

The upper end of the interval is the sample mean added to M. So it is 7.1 + 4.6 = 11.7 hours of sunlight per day

a) Compute the 95% confidence interval for the mean.

The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

b) Explain your confidence interval from part (a) in context.

The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

6 0
3 years ago
Pls give an explanation u don't have to... I'll give brainly if right!​
Maru [420]

Answer:

72.9

Step-by-step explanation:

Multiply your first 2 terms

4.5* (-9) = -40.5

multiply this by -1.8

-40.5*-1.8 = 72.9

6 0
2 years ago
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Write four numbers that fall between 0.123 and 0.124
irga5000 [103]
That's what I think but if im wrong im sorry:
0.123-0.1231,0.1232, 0.1233, 0.1234-0.124
6 0
3 years ago
31,800 is how many tens
Amanda [17]
3180 because you divide 31800 by 10
3 0
3 years ago
Read 2 more answers
How do I solve (|x-3|+5|x|) ?
11111nata11111 [884]

Answer:

x≤0 ⇒|x-3|+5|x| = -6x + 3

0≤x≤3 ⇒ |x-3|+5|x| = 4x + 3

x≥3 ⇒ |x-3|+5|x| = 6x - 3

Step-by-step explanation:

Check the picture below.

6 0
3 years ago
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