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denis23 [38]
3 years ago
9

For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coo

rdinating response. Be sure to clearly label
each part of your response as Part A, Part B, and Part C.

Part A: Identify a fraction equivalent to 15/65 show all work.

65

Part B: Identify a fraction different than the fraction given in Part A that is also equivalent to

15/65

Show all work.

Part C: Are the fractions from Part A and Part B equivalent to each other? Explain.
Mathematics
1 answer:
blagie [28]3 years ago
5 0

Answer:

A. Fraction = \frac{3}{13}

B. Fraction = \frac{30}{130}

C. Yes

Step-by-step explanation:

Given

Fraction = \frac{15}{65}

Solving (a): Get an equivalent fraction

Fraction = \frac{15}{65}

Divide the numerator and denominator by 5

Fraction = \frac{15/5}{65/5}

Fraction = \frac{3}{13}

<em>This is equivalent to the given fraction</em>

<em></em>

Solving (b): Another Equivalent Fraction

Fraction = \frac{15}{65}

Multiply the numerator and denominator by 2

Fraction = \frac{15 * 2}{65 * 2}

Fraction = \frac{30}{130}

<em>This is also equivalent to the given fraction</em>

Solving (c): Is A equivalent to B

Yes, they are

Because the fraction in (A) and (B) are equivalent to \frac{15}{65}

Then, the fractions in A and B are equivalent

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If someone could help me out here it would be greatly appreciated.
Mademuasel [1]

Answer:

k=45

Step-by-step explanation:

the k on the right can be mirrored from the left side of the triangle, the other side of the triangle says that its 45 degrees so that means the answer is as well, but if you want to make sure that the answer is correct then take the 2k degrees then replace the k with 45 and multiple that which gives you 90. add the other 2 45s together which gives you another 90 and then add the two 90s which gives you 180.

5 0
3 years ago
Write an equation in slope intercept form for the linear equation f(-4) = 2 and f(6) = -3
AlladinOne [14]

Answer: y= -2.5x+12

Step-by-step explanation:

<u>Skills used:</u>

  1. Finding slope from two points
  2. Finding y-intercept from two points or a slope
  3. Writing equations in slope-intercept form

<u>Steps:</u>

  1. Write out the two equations as points: (-4, 2) and (6, -3)
  2. Find the slope by using the equation: \frac{y_2-y_1}{x_2-x_1}, which gives us -5/2, or -2.5 (I'm going to use decimals)
  3. Write it into slope intercept form: y= -2.5x+b
  4. Substitute a point into y and x: 2= -2.5(4)+b
  5. Solve to get b= 12
  6. Put it into the full equation: y=-2.5x+12
6 0
3 years ago
A student number system for a county requires that the student number be 5
Damm [24]

Answer:

B

Step-by-step explanation:

First Character: 21 consonant

2nd 3rd and 4th: 10* 9* 8 = 720

Last Character: 26

Total Ways 21 * 720 * 26 = 393120

6 0
3 years ago
One dozen eggs cost $1.98 if the charge is $11.88 how many dozens were purchased
Kazeer [188]

6 dozen were purchased

divide the charge by the cost of one dozen

number purchased = \frac{11.88}{1.98} = 6



3 0
3 years ago
Read 2 more answers
My brother wants to estimate the proportion of Canadians who own their house.What sample size should be obtained if he wants the
AVprozaik [17]

Answer:

a) n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07

And rounded up we have that n=1476

b) n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681

And rounded up we have that n=1681

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}} (a)  

If solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2} (b)  

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.9=0.1 and \alpha/2 =0.05. And the critical value would be given by:  

z_{\alpha/2}=\pm 1.64  

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.02 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07

And rounded up we have that n=1476

Part b

For this case since we don't have a prior estimate we can use \hat p =0.5

n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681

And rounded up we have that n=1681

8 0
3 years ago
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