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3 years ago

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To investigate water quality, the Columbus Dispatch took water specimens at 16 Ohio State Park swimming areas in central Ohio. T

hose specimens were taken to laboratories and tested for E. Coli, which are bacteria that can cause serious gastrointestinal problems. For reference, if a 100 100 -milliliter specimen (about 3.3 3.3 ounces) of water contains more than 130 130 E. Coli bacteria, it is considered unsafe. Here are the E. Coli levels per 100 100 milliliter found by the laboratories:

1 answer:

marishachu [46]3 years ago

3 0

Answer:

mean=56.28ml

The mean is greater than most of the observations because of the two outliers

Step-by-step explanation:

mean=56.28ml

The mean is greater than most of the observations because of the two outliers.

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NEED HELP LOTS OF POINTS!!! Diego had $21.32 and gave $9.50 to Elena. How much did he have left?

erastovalidia [21]

Answer:

11.18

Step by Step Explanation:

Subtract 9.5 from 21.23

8 0

2 years ago

For the following quadratic equation, find the discriminant.<br> x^2+ 10x + 44 = 0

Alina [70]

Answer:

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Step-by-step explanation:

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3 years ago

Find S12 for geometric series: (-7.5) + 15 + (-30) + ...

kolezko [41]

Answer:

S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

Step-by-step explanation:

Given the sequence to find the sum up-to 12 terms

$(-7.5) + 15 + (-30) + ...$

As we know that

A geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$\frac{15}{\left(-7.5\right)}=-2,\:\quad \frac{\left(-30\right)}{15}=-2$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=-2$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=\left(-7.5\right)$

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=\left(-7.5\right)\left(-2\right)^{n-1}$

$a_n=-\left(-2\right)^{n-1}\cdot \:7.5$

$\mathrm{Geometric\:sequence\:sum\:formula:}$

$a_1\frac{1-r^n}{1-r}$

$\mathrm{Plug\:in\:the\:values:}$

$n=12,\:\spacea_1=\left(-7.5\right),\:\spacer=-2$

$=\left(-7.5\right)\frac{1-\left(-2\right)^{12}}{1-\left(-2\right)}$

$=-7.5\cdot \frac{1-\left(-2\right)^{12}}{1+2}$

$\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$=-\frac{-30712.5}{1+2}$ ∵ $\left(1-\left(-2\right)^{12}\right)\cdot \:7.5=-30712.5$

$=-\frac{-30712.5}{3}$

$=\frac{30712.5}{3}$

$=10237.5$

Thus, S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

5 0

3 years ago

Which equation is equivalent to

Paul [167]

Answer:

c) 3x - 45 = 10

Step-by-step explanation:

$\frac{1}{5}x-3=\frac{2}{3}\\\\\frac{1}{5}x-\frac{3*5}{1*5}=\frac{2}{3}\\\\\frac{x-15}{5}=\frac{2}{3}\\$

Cross multiply,

3*(x - 15) = 2*5

3*x - 3*15 = 10

3x - 45 = 10

4 0

3 years ago

Billy's age is twice Joe's age and the sum of their ages is 45. How old is Billy?

Fed [463]

Answer:

30 years old

Step-by-step explanation:

Joe's age can be set to x. Since Billy is twice as old as Joe, his age can be set to 2x. They add up to 45. You can set up an equation, 2x+x=45.

Simplify the equation.

3x=45, x=15

Joe is 15. Billy is 2(15)=30.

4 0

3 years ago