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Veronika [31]
3 years ago
6

HELP!! I WILL MARK FIRST RIGHT PERSON BRAINIEST!!!!!!!! Dana walks to the store from the park, it is 8 blocks south and 6 blocks

west using city streets. She found a short cut that used a diagonal by cutting through the woods that the streets surrounded. How far did she have to walk using the shortcut?
Mathematics
1 answer:
natita [175]3 years ago
6 0

Answer:

10 blocks

Step-by-step explanation:

South and West are perpendicular to each other, meaning they form a right angle. With the diagonal intersecting with each of the corners, we can form a right triangle. We can use Pythagorean Theorem (a^2 + b^2 = c^2) to find that 8^2 + 6^2 = (diagonal)^2.    8^2 + 6^2 = 100. The square route of 100 is 10, meaning Dana would have to walk 10 blocks.

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Translate the given phrase into an algebraic expression and simplify if possible: the product of -13 and the difference of c
Musya8 [376]

Answer:  -13c+13d

Step-by-step explanation:

For this exercise it is important to remember the following:

1. By definition, the "Product" is the result of a multiplication.

2. The "Difference" is defined as the result of a subtraction.

3. The Distributive property states that:

a(b+c)=ab+ac\\\\a(b-c)=ab-ac

Keeping the above on mind, you know that:

"The difference of c and d" can be represented with the following expression:

c-d

Therefore, "The product of -13 and the difference of c and d" can be represented with this expression:

-13(c-d)

Finally, you must apply the Distributive property in order to simplify the expression. You get:

=-13c+13d

7 0
3 years ago
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gogolik [260]
"Linear function" means the highest degree of any term is 1.

Equation 1: degree is 2
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5 0
3 years ago
Which number has a repeating decimal form?<br> A. √15<br> B. 11/25<br> C. 30<br> D. 2/6
Marrrta [24]
Answer is (D) because 2/6 = 0.33333333333333333333………..
3 0
2 years ago
A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only
Semenov [28]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: Number of people that support the candidate.

You need to calculate the sample size to estimate the population proportion of supporters given a confidence level of 99% and a margin of error of 4%

The margin of error of the confidence level for the population proportion is

d= Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }

From this formula you have to clear the value of n:

\frac{d}{Z_{1-\alpha /2}}= \sqrt{\frac{p'(1-p')}{n} }

(\frac{d}{Z_{1-\alpha /2}})^2= \frac{p'(1-p')}{n}

n*(\frac{d}{Z_{1-\alpha /2}})^2= p'(1-p')

n= p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2

Z_{1-\alpha/2}= Z_{0.995}= 2.586

sample proportion "p'" since there is no sample information, nor any previous information is known, you have to consider it as the "worse case scenario" and use the value of p'= 0.50

d= 0.04

n= p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2= 0.5*0.5*(\frac{2.586}{0.04} )^2= 1044.9= 1045

She has to take a sample of 1045 people to estimate the population proportion of her supporters with a confidence level of 99% and a margin of error of 4%

I hope this helps!

4 0
3 years ago
The cost of a t-shirt was $30. Now the t-shirt costs $37.50. What is the percent of change? Do the work on your own paper and wr
Art [367]

Answer:

25%

Step-by-step explanation:

Given that,

Initial cost of a t-shirt = $30

Final cost of a t-shirt = $37.50

We need to find percent of change. The percentage change in any value is given by :

\%=\dfrac{\text{final value-initial value}}{\text{initial value}}\times 100\\\\=\dfrac{37.5-30}{30}\times 100\\\\=25\%

Hence, the percentage error is 25%.

8 0
3 years ago
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