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UNO
19 days ago
9

Patricia is building the community dog park. She plans to build the dog park right beside the city park so she can use one side

of the existing fence. Her budget allows her to purchase 340 feet of fencing. In order to make the area of the dog park as large as possible, determine the dimensions of the dog park if one side of the fence is attached to the city park’s fence.
Mathematics
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A wall in Marcus's bedroom is 8 2/5 feet high and 16 2/3 feet long If he paints 1/2 of the wall blue, how many square feet will
Svet_ta [12734]
We can simplify by reducing factors between the 5 and the 50, as well as between the 42 and the 3.
8 0
4 months ago
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A streaming music site changed its format to focus on previously unreleased music from rising artists. The site manager now want
lawyer [12517]

Answer:

Step-by-step explanation:

It was noted that a music streaming platform modified its format to highlight previously unreleased tracks from emerging artists. The site manager is now aiming to assess whether the daily unique listener count has changed.

The hypothesis is set

H_0: Mean 1- Mean 2 =0\\H_a: Mean 1 - Mean 2 \neq 0

(A two-tailed test for mean difference)

The test statistic is calculated, and the p-value turns out to be 0.0743

Assuming a significance level of 5%, we observe that p-value = 0.0743>0.05

Thus, we accept the null hypothesis.

i.e. there is no statistically significant alteration in the average number of daily unique listeners

The p-value serves as an indicator of the extremity of the observed data. If p is lower than alpha, we thus reject H0; otherwise, we accept it.

7 0
3 months ago
If rs 500 amounts to Rs 725 at 9% simple interest in sometime ,what will Rs 600amount to at 11% in same time?
AnnZ [12381]

Answer:

Rs\ 930

Step-by-step explanation:

The formula for calculating simple interest is

A=P(1+rt)

Here,

A refers to the Total Amount of Investment

P denotes the Initial Investment

r indicates the interest rate 

t represents the duration in time periods

step 1

Determine the duration t

For this scenario, we have

t=?\ years\\ P=Rs\ 500\\ A=Rs\ 725\\r=0.09

Plugging into the formula above and solving for t

725=500(1+0.09t)

t=[(725/500)-1]/0.09

t=5\ years

step 2

What will Rs 600 grow to at 11% over the same duration?

We have

t=5\ years\\ P=Rs\ 600\\ A=?\\r=0.11

Insert into the formula

A=600(1+0.11*5)

A=600(1.55)

A=Rs\ 930

6 0
3 months ago
What is the empirical formula of an oxide of chromium that is 48 percent oxygen by mass?
Svet_ta [12734]

Answer:

CrO₃.

Step-by-step explanation:

First, we will find the chromium percentage in the oxide by using the following process:

Oxygen (O) = 48%

Chromium (Cr) =?

The oxide consists solely of chromium and oxygen, and its chromium percentage is calculated as:

Cr = 100 – percentage of oxygen

Cr = 100 – 48

Cr = 52%

Next, we will determine the empirical formula for the oxide:

Chromium (Cr) = 52%

Oxygen (O) = 48%

Now, we divide by their molar mass:

Cr = 52/52 = 1

O = 48/16 = 3

Now, divide by the lowest value:

Cr = 1/1 = 1

O = 3/1 = 3

Thus, the empirical formula for the oxide is CrO₃.

4 0
3 months ago
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are
Zina [12379]

Answer:

Yes, the cost y in dollars and the quantity of yogurt x are indeed proportional.

The relationship can be expressed as: y=0.08x


Step-by-step explanation:

1. If y varies directly with x, it can be represented as:

y=kx

Here, k represents the constant of proportionality.

2. We'll calculate the proportionality constant. Given that y=2.56 and x=32, we have:

y=kx\\k=\frac{y}{x}\\k=\frac{2.56}{32}\\k=0.08

3. Thus, the equation becomes:

y=0.08x

4. Now, we need to verify proportionality. Substituting x=6, which is the quantity of yogurt purchased by Jonah, we should arrive at $0.48:

y=0.08(6)\\y=0.48

5. They are indeed directly proportional.

6 0
3 months ago
Read 2 more answers
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