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3 years ago

Find the solutions for 6x^2 -7x-20=0

Mathematics

1 answer:

Ugo [173]3 years ago

4 0

Answer:

x=5/2, x=-4/3

Step-by-step explanation:

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One half gallon is equivalent to 4 pints.how many gallons are the equivalent of 72 pints

malfutka [58]

Answer: 9 gallons

<u>Step-by-step explanation:</u>

Set up the proportion, then multiply to solve for the variable.

$\dfrac{\frac{1}{2}\ \text{gallon}}{4\ \text{pints}}=\dfrac{x}{72\ \text{pints}}$

$(72\ \text{pints})\dfrac{\frac{1}{2}\ \text{gallon}}{4\ \text{pints}}=(72\ \text{pints)}\dfrac{x}{72\ \text{pints}}$

$\dfrac{36\ \text{gallons}}{4}=x}$

9 gallons = x

5 0

4 years ago

amiee wants to order DVDs from amazon each DVD costs 8.49 and shipping for the entire order is 5 dollars she only has 70 dollars

Neporo4naja [7]

You can only get 7 because you could get 8 of them but you need to remember that shipping is 5 dollars. 70/8.49 is 8.24499411 but it would be 7 dvds.

7 0

3 years ago

Plz help me with this problem!!

elena-14-01-66 [18.8K]

there coul be an infinite amount of answers so anything above 73 should work as long AS ITS ABOVE 73

4 0

3 years ago

The city of Madison regularly checks the quality of water at swimming beaches located on area lakes. Fifteen times the concentra

Maksim231197 [3]

Answer:

The sample standard deviation is 393.99

Step-by-step explanation:

The standard deviation of a sample can be calculated using the following formula:

$s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }$

Where:

$s=$ Sample standart deviation

$N=$ Number of observations in the sample

${\displaystyle \textstyle {\bar {x}}}=$ Mean value of the sample

and $\sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }$ simbolizes the addition of the square of the difference between each observation and the mean value of the sample.

Let's start calculating the mean value:

$\bar {x}=\frac{1}{N} \sum_{i=1}^{N}x_{i}$

$\bar {x}=\frac{1}{15}*(180+1600+90+140+50+260+400+90+380+110+10+60+20+340+80)$

$\bar {x}=\frac{1}{15}*(3810)$

$\bar {x}=254$

Now, let's calculate the summation:

$\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=(180-254)^2+(1600-254)^2+(90-254)^2+...+(80-254)^2$

$\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=2173160$

So, now we can calculate the standart deviation:

$s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }$

$s=\sqrt[ ]{\frac{1}{15-1}*(2173160)}$

$s=\sqrt[ ]{\frac{2173160}{14}}$

$s=393.99$

The sample standard deviation is 393.99

3 0

4 years ago

A store sells a package of 7 water bottles for $5.60.<br> What is the price per water bottle?

Luden [163]

Since there is 7 water bottles in a package and the total price is 5.60, you divide 7 by 5.60 which gives you 1.25 per bottle

7 0

3 years ago