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aleksandrvk [35]
2 years ago
3

In Lewis County, there were 2,277 student athletes competing in spring sports in 2014. That was 110% of the number from 2013, wh

ich was 90% of the number the year before. How many student athletes signed up for a spring sport in 2012?
Mathematics
1 answer:
BaLLatris [955]2 years ago
3 0
In 2014 , 2277 was 110% of 2013.

Number in 2013 = 90% of the year before (2012)


Let the number in 2013 be x. From the first statement,

2277 = 110% of x

2277 = (110/100)x

2277 = 1.10x

x = 2277/1.1 = 2070

Number in 2013 is 2070

Number in 2013 = 90% Number in 2012

2070 = (90/100) * Number in 2012

2070 = 0.90 * Number in 2012

2070 / 0.90    = Number in 2012

2300  = Number in 2012

Number in 2012  =  2300
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Answer:

You'd be 2 * 10^{-6} times tall

Step-by-step explanation:

Given

Represent the previous and new diameter by D1 and D2;

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D_2 = 1\ cm

To determine how tall you'd be, we need to divide D2 by D1;

Ratio = \frac{D_2}{D_1}

Substitute values for D2 and D1

Ratio = \frac{2 * 10^{-8}m}{1\ cm}

Convert cm to m

Ratio = \frac{2 * 10^{-8}m}{1 * 0.01\ m}

Ratio = \frac{2 * 10^{-8}m}{0.01\ m}

Convert denominator to exponents

Ratio = \frac{2 * 10^{-8}m}{10^{-2}\ m}

Ratio = \frac{2 * 10^{-8}}{10^{-2}}

Apply Law of indices

Ratio = 2 * 10^{-8} * 10^2

Ratio = 2 * 10^{-8+2}

Ratio = 2 * 10^{-6}

Hence;

<em>You'd be </em>2 * 10^{-6}<em> times tall</em>

4 0
2 years ago
A psychologist is collecting data on the time it takes to learn a certain task. For 50 randomly selected adult subjects, the sam
tatuchka [14]

Answer: (15.263,\ 17.537)

Step-by-step explanation:

According to the given information, we have

Sample size : n= 50

\overline{x}=16.40

s=4.00

Since population standard deviation is unknown, so we use t-test.

Critical value for  95 percent confidence interval  :

t_{n-1,\alpha/2}=t_{49, 0.025}= 2.009575\approx2.010

Confidence interval : \overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}

16.40\pm (2.010)\dfrac{4}{\sqrt{50}}\\\\=16.40\pm1.13702770415\\\\=16.40\pm1.1370\\\\=(16.40-1.1370,\ 16.40+1.1370)\\\\=(15.263,\ 17.537)

Required 95% confidence interval :  (15.263,\ 17.537)

8 0
2 years ago
What is the value of k in the product of powers below? 10 Superscript negative 3 Baseline times 10 times 10 Superscript k Baseli
poizon [28]

Answer: -1

Step-by-step explanation:

10^-3 x 10 = 10^-2

But you need it to be 1/10^3

So 10^-2 x 10^-1 = -2 + -1

= 10^-3

In order to put it in simplest form, the power needs to be positive.

So = 1/10^3

Meaning the missing power is -1  

7 0
2 years ago
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What is the value of k in the equation below? 5k - 2k = 12? 1 1/5, 1 5/7, 3, 4
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Hi there!

5k - 2k = 12
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I hope that helps!
Brainliest answer :)
8 0
2 years ago
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4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

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We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

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then use the quotient property of logarithms which is log of b (x)  - log of b (y) = log of b (x/y)

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log of 1/2 (w^4 u^2 / v^3)

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