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3 years ago

Which equation is represented by the table?

Mathematics

2 answers:

maks197457 [2]3 years ago

8 0

When you plot te points on a graph you notice it's a parabolaThen its equation is y= x²+bx+c

Plug x & y by their respective values (2 different points are enough) & you will get a system of equation with 2 variables a & b

After solving them you will get a=8/3 & b=-1/4 & c=-5

Hence the equation is y = (8/3)x²-1/4x+5

kotegsom [21]3 years ago

7 0

Answer:y=|x|-5

Step-by-step explanation:

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Vladimir [108]

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2 years ago

A service station checks Mr. Smith's radiator and finds it contains only 40% antifreeze. If the radiator holds 20 quarts and is

storchak [24]

Answer:

8 quarts

Step-by-step explanation:

Step One: Figure out how much 40% is by making an equation:

Since we are looking for a percentage, we use cross multiplication to find X.

$\frac{x}{20} = \frac{40}{100}$

Step Two: multiply 20 by 40 to start cross multiplying:

20 times 40 is 800, so replace the 40 by 800 in the equation.

$\frac{x}{20} = \frac{800}{100}$

Step Three: divide 800 by 100, and we will have X:

800/100=8

X=8 aka 8 quarts

I hope this helps!

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7 0

3 years ago

Please help me out please

mariarad [96]

Answer:

$1.) \\625^2 Ft.\\\\2.)\\306^2Ft.\\\\3.)\\18,750^2 Ft.\\$

Step-by-step explanation:

$1.) \\25*25=625\\\\2.) \\(103*2)+(50*2)=\\206+100=306\\\\3.) \\750*25=18,750$

8 0

3 years ago

Hester sells televisions. She earns a fixed amount for each television and an additional $15 if the buyer gets an extended warra

beks73 [17]

Answer: $\$ 70$

Step-by-step explanation:

Given

Hester get a fixed amount and an additional $15 for an extended warranty

Suppose x is the amount of fixed amount

for 15 television sale, the price is $1275

Thus, we can write

$\Rightarrow 15(x+15)=1275\\\Rightarrow x+15=85\\\Rightarrow x=\$70$

Therefore, the fixed amount of television is $\$70$

6 0

3 years ago

Consider the probability that exactly 20 out of 309 people will get the flu this winter. Choose the best description of the area

noname [10]

Answer:

The distribution of proportion of people who will get the flu this winter is N (0.065, 0.014²).

Step-by-step explanation:

Let X = number of people who will get flu this year.

The sample selected is of size, n = 309.

The number of people who will get flu in this sample is, x = 20.

Compute the sample proportion of people who will get flu as follows:

$p=\frac{x}{n}=\frac{20}{309}=0.065$

The random variable X follows a Binomial distribution with parameters n = 309 and p = 0.065.

The sample size is quite large, i.e. n = 309 > 30.

And the probability of success is low.

So the Normal approximation to Binomial can be used to approximate the distribution of sample proportion is:

np ≥ 10
n(1 - p) ≥ 10

Check whether the conditions are fulfilled or not as follows:

$np=309\times 0.065=20.085>10\\n(1-p)=309\times (1-0.065)=288.915>10$

Hence, the conditions are fulfilled.

The sampling distribution of sample proportion is:

$p=N(p, \frac{p(1-p)}{n})$

Compute the mean and variance as follows:

$Mean=p=0.065\\Variance=\frac{p(1-p)}{n}=\frac{0.065(1-0.065)}{309}=0.014^{2}$

Thus, the distribution of proportion of people who will get the flu this winter is N (0.065, 0.014²).

6 0

3 years ago