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3 years ago

Which ordered pair is the best estimate for the solution of the system of equations?

Mathematics

1 answer:

Rasek [7]3 years ago

6 0

Answer:

<u>The ordered pair of the solution is (0.022, -0.55). None of the alternatives given we can consider as the best estimate because there isn't at least one positive value for x, when it's actually positive. Picking (0, -2) as the best estimate is also far from the best estimate.</u>

Step-by-step explanation:

Let's solve the system of equations:

y = −25x

−2y = 5x+1

***********************

Substituting y in the 2nd equation:

-2 (-25x) = 5x + 1

50x = 5x + 1

45x = 1

x = 1/45

x = 0.022

**********************

Solving for y in the 1st equation:

y = -25 (0.022)

y = - 0.55

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Answer this please !

SpyIntel [72]

Answer:

Step-by-step explanation:

$\frac{y}{2} =x^{2} -7$

$\frac{a}{2} =2^{2} -7$

$\frac{a}{2} =-3$

$a=-6$

$\frac{b}{2} =1^{2} -7$

$\frac{b}{2} =-6$

$b=-12$

From the calculations above, we learn that line l and the curve intersect at (2, -6) and (1, -12). Next, we will set up a system of linear equations to solve for the slope and the y-intercept of line l.

$-6=2m+b$

$-12=m+b$

$-24=2m+2b$

$18=-b$

$b=-18$

$-12=m-18$

$m=6$

Therefore, the slope of line l is 6.

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2 years ago

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In Exercise,find the balance in the account after 10 years.

djverab [1.8K]

Answer: The balance in the account after 10 years is $3374.65

Step-by-step explanation:

The exponential equation for growth [ compounded continuously] is

$y=pe^{rt}$

, where P= Present value

r= growth rate ( in decimal)

t= time (years)

By considering the given information , we have

p=$2500 r = % =0.03 and t= 10

Substitute all the values in the above equation , we get

$y=2500e^{0.03(10)}$

$y=2500e^{0.3}$

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Therefore, the balance in the account after 10 years is $3374.65

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3 years ago

What is the eighth multiple of 12

Rina8888 [55]

Answer:

Step-by-step explanation:

eighth multiple of 12 = 12 * 8 = 96

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Two cards are dealt at random from a standard deck of 52 cards. What is the probability that the first card is a King and the se

34kurt

Answer:

1 / 51

Step-by-step explanation:

Given that :

Number of cards in a deck = 52

Number of heart suit = 13

Number of kings = 4

Recall:

Probability = (required outcome / Total possible outcomes)

P(first card is king) = 4/52 = 1/13

P(second card is heart) = 13/51

Hence,

P(first card is king) * P(second card is heart)

(1/ 13) * (13/51) = 13 / 663 = 1/ 51

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3 years ago

The heights of baby giraffe are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 b

ANEK [815]

Answer:

$P(\bar X$

And we can solve this using the following z score formula:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we use this formula we got:

$z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4$

So we can find this probability equivalently like this:

$P( Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(63.6,2.5)$