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3 years ago

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An amoeba is 0.8 millimeter in length. At the science museum there is a scale model of the amoeba that is 160 millimeters in len

gth. What is the scale factor?

1 answer:

lisabon 2012 [21]3 years ago

4 0

The scale factor is 200

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BRAINLY FOR THE FASTEST WITH GOOD EXPLANATIONS

Neporo4naja [7]

So, when we're tasked with things like this, rewriting everything in terms of sine and cosine and combining fractions often trivializes things, so doing just that gives us:

$\frac{\frac{1}{\cos{x}}-\frac{1}{\sin{x}}}{\frac{\cos{x}}{\sin{x}}-1}= \\\frac{\frac{=(\cos{x}-\sin{x})}{\cos{x}\sin{x}}}{\frac{\cos{x}}{\sin{x}}-\frac{\sin{x}}{\sin{x}}}=\\\frac{-(\cos{x}-\sin{x})}{\cos{x}\sin{x}}*\frac{\sin{x}}{\cos{x}-\sin{x}}=\\-\frac{1}{\cos{x}}$

So out expression is 1/cos(x).

4 0

2 years ago

Find the median mode range and any outliers. Then describe the data using them 77777,88,555,6,99,10101010,12

umka2103 [35]

Answer:

The median = 5

The mode = 7

Range = 5

Outliers= None

Step-by-step explanation:

The median is the value of the middle term.

The median is that value which divides the data into two equal halves.

7,7,7,7,7,8,8,5,5,5,6,9,9,10,10,10,10,12

There are 18 terms . So the middle term would be 9th term value= 5

The mode is the value which is repeated the most. = 7

Range is the difference between the highest and lowest value.= 12- 7= 5

The interquartile range, IQR= q3 - q1 where q3= 10 and q1= 7

IQR= 10 −7=3

The inner fences can be found out by

q1−(1.5*IQR) and q3+(1.5*IQR)

=7−(1.5*3) and 10+(1.5*3)

Inner fences: 2.5 and 14.5

The outer fences are q1−(3*IQR) and q3+(3*IQR)

=7−(3*3) and 10+(3*3)

Outer fences: -2 and 19

So if there are any outliers in this data set, they will either be less than -2 or greater than 19. But there are no outliers.

6 0

3 years ago

Paulo catches a 7.45 am tram to school. During a period of 79 days, he arrives at school on time 53 occasions. Estimate the prob

lawyer [7]

Answer:

<em>On time: 0.67</em>

<em>Late: 0.33</em>

Step-by-step explanation:

<u>Probabilities</u>

One approach to estimating the probability of occurrence of an event is to record the number of times that event happens (e) and compare it with the total number of trials (n).

The probability can be estimated with the formula:

$\displaystyle P=\frac{e}{n}$

And the probability that the event doesn't occur is

Q = 1 - P

Paulo arrives on time to school e=53 times out of n=79 times. The probability that he arrives on time is:

$\displaystyle P=\frac{53}{79}$

P = 0.67

And the probability he arrives late is:

Q = 1 - 0.67 = 0.33

4 0

2 years ago

Determine whether the two triangles are similar. PLEASE HELP!!

zvonat [6]

I think that it is C: PQR~XY by AA because there are only two angles that you are given ;the boxes represent 90, so each box has 90 and 62.

6 0

3 years ago

The ratio of boys to girls in a school chorus is 6:3. If 1/2 of the boys and 1/3 of the girls wore hats in the performance, what

Nikitich [7]

6:3 boys to girls.
say for the sake of it, there are 60 boys and 30 girls.that makes 90 children.if 1/2 of the boys wore hats, then 30 boys wore hatsif 1/3 of the girls wore hats, then 10 girls wore hatsif 30 boys and 10 girls wore hats, then 40 children wore hatsif 40 children wore hats, then 40/90 children wore hats40/90 can be simplified to 4/94/9 children wore hats

5 0

3 years ago