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Cloud [144]
4 years ago
15

Algebra math word problems

Mathematics
1 answer:
irga5000 [103]4 years ago
7 0

26. 4 people went to the aquarium

27. $1.50 per game (subtraction property and division property)

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ABCD is a square. M is the midpoint of BC and N is the midpoint of CD. A point is selected at random in the square. Calculate th
almond37 [142]

Answer:

1/8 or 0.125

Step-by-step explanation:

Let x be the length of the sides of the square ABCD.

Therefore, the length of CN and CM is x/2.

The area of the triangle MCN is:

A_t = \frac{0.5x*0.5x}{2}=\frac{x^2}{8}

The area of the square ABCD is:

A_s =x*x =x^2

Thus, the probability that a random point lies in the triangle MCN is:

P=\frac{A_t}{A_s}=\frac{\frac{x^2}{8}}{x^2}=\frac{1}{8}=0.125

The probability that the point will lie in the triangle MCN is 1/8 or 0.125.

8 0
3 years ago
What is the median of the number of absences?
Rasek [7]
The answer is 3and 4
5 0
3 years ago
Matt is climbing a mountain when his elevation is higher than 1600 he has trouble breathing write an inequality that describes h
11111nata11111 [884]

Answer is   h > 1600

The convention is to write the variable first on the left side, then the inequality sign, followed by the other side of the inequality.

Writing h > 1600 means that h is larger than 1600. Think of an alligator mouth that is represented by the "greater than sign". The mouth opens up to the larger side. In this case, h could be something like 1700 which is larger than 1600. So we'd say 1700 > 1600 for instance.

6 0
4 years ago
Suppose you are conducting a survey about the amount grocery store baggers are tipped for helping customers to their cars .for a
ELEN [110]

Using the Empirical Rule and the Central Limit Theorem, we have that:

  • About 68% of the sample mean fall with in the intervals $1.64 and $1.82.
  • About 99.7% of the sample mean fall with in the intervals $1.46 and $2.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

<h3>What does the Central Limit Theorem state?</h3>

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem, the standard deviation of the distribution of sample means is:

s = \frac{0.657}{\sqrt{50}} = 0.09

68% of the means are within 1 standard deviation of the mean, hence the bounds are:

  • 1.73 - 0.09 = $1.64.
  • 1.73 + 0.09 = $1.82.

99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:

  • 1.73 - 3 x 0.09 = $1.46.
  • 1.73 + 3 x 0.09 = $2.

More can be learned about the Empirical Rule at brainly.com/question/24537145

#SPJ1

5 0
2 years ago
Please help me with this question
qwelly [4]

Answer:

3n + 3

Step-by-step explanation:

Mia is correct

When n= 1 ,  3n + 3 = 3*1 + 3 = 3 + 3 = 6

When n =2, 3n + 3 = 3*2 + 3 = 6 + 3 = 9

When n = 3 , 3n +3 = 3*3 + 3 = 9 + 3 = 12

When n = 4, 3n + 3 = 3*4 + 3 = 12 +3 = 15

5 0
3 years ago
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