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Papessa [141]
3 years ago
9

The sum of three consecutive odd numbers is 75. What is the smallest of the three numbers?

Mathematics
1 answer:
Rashid [163]3 years ago
7 0

Answer:

23

Step-by-step explanation:

Let the three number be represented by x, y and z. We can rewrite them as follows:

x = x

y = x + 2 <em>(because its two jumps to the next odd number)</em>

z = y +2 = x + 4

x + y + z = 75

∴ x + (x+2) + (x+4) = 75

∴ 3x + 6 = 75

∴ 3x = 69

∴ x = 23

∴ x=23, y=25, x=27.

The smallest number, x, is equal to 23.

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Elly and Drew work together to collect data to estimate the percentage of their classmates who own a particular brand of shoe. U
ladessa [460]

Answer:

d. The width of Elly's interval will be less than the width of Drew's interval.

Step-by-step explanation:

The confidence level and the width of the confidence interval are direct proportional. This means that a confidence interval with a higher confidence level has a higher width.

For example, a 99 percent confidence interval is wider than a 90 percent confidence interval.

The midpoint of the confidence interval is the mean of the population, no matter the confidence level.

In this problem, we have that:

Elly: 90 percent CI

Drew: 99 percent CI

The correct answer is:

d. The width of Elly's interval will be less than the width of Drew's interval.

4 0
4 years ago
Find the value of x. Then find the measure of each labeled angle.<br> (9x - 10)<br> (5x + 38)
omeli [17]

Answer:

x=12 and

(9*12)-10=98

(5*12)+38=98

both angles are = 98

Step-by-step explanation:

do this :

9x - 10 = 5x + 38

( - 5x from both sides)

4x - 10 = 38

(add 10 to both sides)

4x = 38+10

4x=48

(divide by 4)

x=48/4

 = 12

substitute into the equations:

(9*12)-10

(5*12)+38

3 0
3 years ago
Referring to the Fig. in Question #42, give the coordinates
iragen [17]

Answer:

  (x, y) = (0, -3)

Step-by-step explanation:

The point Y is on the y-axis. Its x-coordinate will be zero, since it is neither left nor right of the y-axis.

The point Y is 3 units below the x-axis, so its y-coordinate is -3. This is the value you can read on the y-axis next to point Y.

  (x, y) = (0, -3)

_____

  U(-5, 0)

  V(-3, 3)

  W(5, 5)

  X(-4, -5)

  Y(0, -3)

  Z(2, -1)

It is a good idea to learn to read coordinates from a graph. You will be doing it a lot. The x-coordinate is the number of units right of the y-axis. The y-coordinate is the number of units up from the x-axis. Left or down makes the coordinate negative.

4 0
2 years ago
Explain 42+28 by making tens
djverab [1.8K]

Answer:70

Step-by-step explanation:

1

42

+

28

———

70

5 0
3 years ago
1. A person runs 2 1/4 miles<br> in 1/2 hour. What is the<br> miles per hour?
nataly862011 [7]
4.5 mph (aka 4 and 1/2 mph)
7 0
4 years ago
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