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3 years ago

Please hurry need done asap

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

7 0

Answer:

$y=0.46591x+7.71591$

Step-by-step explanation:

Labelled points are $(21,\: 17.5)=(x_1,\:y_1) \: \&\:(43,\: 27.75)=(x_2,\:y_2)$

Slope of line (m) $=\frac{27.75-17.5}{43-21} =\frac{10.25}{22} =\frac{41}{88}$

Equation of line in point - slope form is given as:

$y-y_1 = m(x-x_1)$

$\therefore y-17.5= \frac{41}{88} (x-21)$

$\therefore y= \frac{41}{88} x-\frac{861}{88}+17.5$

$\therefore y= \frac{41}{88} x+17.5-\frac{861}{88}$

$\therefore y= \frac{41}{88} x+\frac{1,540-861}{88}$

$\therefore y= \frac{41}{88} x+\frac{679}{88}$

$\therefore y=0.465909091x+7.71590909$

$\therefore y=0.46591x+7.71591$

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snow_lady [41]

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3 years ago

Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.

melomori [17]

Answer:

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

<em>Find a quadratic polynomial with integer coefficients which has the following real zeros: </em> $x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}$ <em>. </em>

Let be $r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9}$ and $r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9}$ roots of the quadratic function. By Algebra we know that:

$y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2}$ (1)

Then, the quadratic polynomial is:

$y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}$

$y = 81\cdot x^{2}-36\cdot x -19$

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

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3 years ago

Suppose that only 25% of all drivers come to a complete stop at an intersection having flashing red lights in all directions whe

Juliette [100K]

Answer:

$X \sim Binom(n=15, p=0.25)$

For this case we can use the probability mass function and we got:

$P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.25)$

For this case we can use the probability mass function and we got:

$P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165$

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3 years ago

Seqouya has 1/2 of a liter of apple juice which fills 1/3 of her glass. How many glasses will 1 liter of apple juice fill

zavuch27 [327]

Answer:

2/3 of her glasses

Step-by-step explanation:

If 1/2 liter apple juice fills 1/3 of her glasses, then twice that volume will fill twice as many glasses: 2/3 of her glasses.

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3 years ago

Eva is at a sushi restaurant. She ordered 2 pieces of squid for a total of $3.50, 1 piece of eel for $3.25, 3 pieces of tuna for

earnstyle [38]

2 pieces of squid = $3.50
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1 piece of eel = $3.25

3 pieces of tuna = $6.75
Therefore 1 piece of tuna = $2.25 (6.75÷3)

4 pieces of crab = $8.00
Therefore 1 piece of crab = $2 (8÷4)

Put them in order of price and you get

$1.75 , $2 , $2.25 , $3.25
squid,crab,tuna,eel

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3 years ago

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