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Sladkaya [172]
3 years ago
12

;-y=3-2x4x+2y=10 what is the answer​

Mathematics
1 answer:
pentagon [3]3 years ago
8 0
4x+2(3-2x)=10, 4x+6-4x=10, x+6=10, x=4
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A survey of students in the junior class at Avery's high school provided the following information:
Oduvanchick [21]

Avery can explain to her school principal that 85% of juniors think there is a lot of homework because several indicators have increased.

<h3>What is an indicator?</h3>

An indicator is a datum that is taken as a reference to analyze the evolution or change of a fact over time. In this case, the indicators would be:

  • Weekly hours used to do homework
  • Number of students with work for after school.

According to the information, it can be inferred that 85% of Junior students consider that there is an increase in homework because there were the following changes compared to last year:

  • Increase in hours spent on after school homework, last year the average was 5 hours, this year it is 8 hours.
  • Increase in the number of students with after school jobs, last year it was 135 students, this year it is 215 students.

From the foregoing, it can be inferred that the number of homework has increased in Junior students and that is why now 85% of them consider that homework has increased.

Learn more about indicator in: brainly.com/question/20264817

#SPJ1

5 0
2 years ago
A cup of hot coffee is initially at 70 ° C and is left in a room that has a temperature
fgiga [73]

Answer:

It will take 4 minutes and 30 seconds for hot coffee to cool to a temperature of 25 ° C

Step-by-step explanation:

This problem can be modeled by a first order equation

T(t) = TA + kt

In which TA is the temperature at instant zero and r is the rate of warming(g>0) or cooling(k<0). t is the time in minutes.

The initial temperature of the cup of coffee is 70ºC. So TA = 70. The temperature cools  at the rate of 10ºC per minute, so k = -10. So, the equation of the model is:

T(t) = 70 - 10t

We want to know the instant of time when T = 25, so:

25 = 70 - 10t

10t = 70 - 25

10t = 45

t = 4.5 minutes

It will take 4 minutes and 30 seconds for hot coffee to cool to a temperature of 25 ° C

7 0
3 years ago
A research firm needs to estimate within 3% the proportion of junior executives leaving large manufacturing companies within thr
Y_Kistochka [10]

Answer:

972 junior executives should be surveyed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

35% of junior executives left their company within three years.

This means that \pi = 0.35

0.95 = 95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

To update this study, how many junior executives should be surveyed?

Within 3% of the proportion, which means that this is n for which M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.35*0.65}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.35*0.65}

\sqrt{n} = \frac{1.96\sqrt{0.35*0.65}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.35*0.65}}{0.03})^2

n = 971.2

Rounding up:

972 junior executives should be surveyed.

5 0
3 years ago
Which square--large medium small--covers more of the plane? Explain why.
GrogVix [38]
Large because it is bigger.Common sense.
4 0
4 years ago
Read 2 more answers
Write and equation of the line that contains the points below.<br><br> (0, 3) and (-6, -3)
mojhsa [17]

Answer:

y = x + 3

Step-by-step explanation:

The image below shows proof that y = x + 3 is the equation of the line that contains the points (0, 3) and (-6, -3).

Hope this helps! :)

6 0
3 years ago
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