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Alenkasestr [34]
3 years ago
8

How to classify a system and give the number of solutions

Mathematics
1 answer:
Leokris [45]3 years ago
3 0
1) consistent system. at least one solution.

2) inconsistent system. no solutions (the lines are parallel)

3) dependent system. equations have same slope and y-intercept(same line)independent system.

4) equations have different slopes(2 intersecting lines)

im not sure if thats what you were looking for

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The figure shown is a kite. What is the x-coordinate of point P?
tresset_1 [31]

The answer to the above question can be determined as -

Let the point on the left side of P be Q, thus coordinates of Q are (a,1) and point on the right side of P be R, thus coordinates of R will be, (a+4, 1).

Now, it given that, between x coordinates of Q and R is 4, and it can be seen that they are getting divided into half.

So, the x coordinate of P will be - a + \frac{4}{2} i.e. a + 2

<u>Thus, the x coordinate of P will be a +2.</u>

6 0
3 years ago
Read 2 more answers
Question: Researchers in Pakistan wanted to better understand the effects of anthracycline (a chemotherapeutic drug) on the hear
Sedbober [7]

Using the normal distribution, it is found that:

1. His z-score was of Z = -1.88.

2. There is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

3. Z-score of z = 1.85, there is a 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

4. Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

  • The mean is of \mu = 1.35.
  • The standard deviation is of \sigma = 0.33.

Item 1:

Considering his ratio, we have that X = 0.73, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.73 - 1.35}{0.33}

Z = -1.88

His z-score was of Z = -1.88.

Item 2:

The probability is the <u>p-value of Z = -1.88</u>, hence, there is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

Item 3:

Score of X = 1.96, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{1.96 - 1.35}{0.33}

Z = 1.85

The probability is 1 subtracted by the p-value of Z = 1.85, hence, 1 - 0.9678 = 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

Item 4:

Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

More can be learned about the normal distribution at brainly.com/question/24663213

7 0
2 years ago
A box with a square base and open top must have a volume of 32,000 cm3. find the dimensions of the box that mini- mize the amoun
zmey [24]
Alrighty


squaer base so length=width, nice


v=lwh
but in this case, l=w, so replace l with w
V=w²h

and volume is 32000
32000=w²h


the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW

alrighty

we gots
SA=W²+4HW and
32000=W²H

we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute

SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W

take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?

0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W

so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H

the box is 20cm height and the width and length are 40cm
7 0
3 years ago
How do you get 2/3 + 7/2 into 25/5.
BartSMP [9]

2/3 is the same 4/6

7/2 is the same as 21/6

4/6 + 21/6 = 25/6

So the answer is 25/6, not 25/5.

4 0
3 years ago
Read 2 more answers
juan needs to measure 6 cups of flour for a recipe.he only has a 1/4 cup measuring cup.how many times must he fill the measuring
Luba_88 [7]

Answer:

Juan would need to fill up the 1/4 measuring cup 24 times.

Step-by-step explanation:

So to measure one cup of flour with a 1/4 measuring cup, you would need to fill up the 1/4 measuring cup 4 times. Since we want 6 cups, you would need to fill up the 1/4 measuring cup 24 times. 6 times 4 = 24. Hope this helps!

7 0
4 years ago
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