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tatyana61 [14]
2 years ago
8

An equation of a line with a slope of - 2 and a y-intercept of 2.5 is a

Mathematics
1 answer:
Sonbull [250]2 years ago
4 0

Answer:

y= -2x +2.5

Step-by-step explanation:

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Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long. Maria has 3 4 foot of trim left. Wh
Sergio039 [100]

We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.

The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is 3\times 21=63 inches.

Now we need to convert 63 inches into feet.  

12 inches = 1 feet

63 inches = \frac{63}{12}  feet = 5.25 feet.

We are also told that Maria has \frac{3}{4} foot of trim left, so total length of trim would be trim used plus trim left that is 5.25+\frac{3}{4}=5.25+0.75=6 feet.

Since we need to find length of trim in yards, so we will convert 6 feet into yards.

3 feet = 1 yard

6 feet = \frac{6}{3} yards = 2 yards

Therefore, the length of the trim was 2 yards.

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4 years ago
Management at a seaside resort is publishing a brochure and wants to include a statement about the proportion of clear days duri
Ymorist [56]

Answer: B. 264

Step-by-step explanation:

Formula to calculate the sample size 'n' , if the prior estimate of the population proportion (p) is available:

n= p(1-p)(\dfrac{z}{E})^2

, where z = Critical z-value corresponds to the given confidence interval

E=  margin of error

Let p be the population proportion of clear days.

As per given , we have

Prior sample size : n= 150

Number of clear days in that sample = 117

Prior estimate of the population proportion of clear days = p=\dfrac{117}{150}

E= 0.05

The critical z-value corresponding to 95% confidence interval = z*= 1.95 (By z-table)

Then, the required sample size will be :

n= \dfrac{117}{150}(1-\dfrac{117}{150})(\dfrac{1.96}{0.05})^2

Simplify ,

n= (0.1716)(39.2)^2

n= 263.687424\approx264

Hence, the sample size necessary to construct this interval =264

Thus the correct option is B. 264

7 0
3 years ago
Which number is represented by point E on the graph?
zavuch27 [327]

Answer:

It'll be -0.25

Step-by-step explanation:

Notice how it is to the left of zero, anything to the left of zero is negative. With that in mind, we can eliminate A. The half mark between 0 and -1 represents 0.50, and since it goes by quarters, the E is at the first quarter, which is 0.25. Hopefully this helps!

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3 years ago
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Yes it is (10x-y)^2 is the answer of it
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4 years ago
Four friends buy cinema tickets using this offer.
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