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nataly862011 [7]
3 years ago
11

In the inequality -2 < 2, which number appears farther right on a number line and why?​

Mathematics
1 answer:
Marianna [84]3 years ago
5 0

Answer:

2

Step-by-step explanation:

2 is farther right on the number line because it is a positive number while -2 is negative.

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5 0
3 years ago
Twice the sum of consecutive numbers n and n + 1 is 510. What is the smaller number?
guajiro [1.7K]

Answer:

The smaller number is 127

Step-by-step explanation:

Lets write the given problem in equation form

sum of consecutive numbers n and n + 1 = n + n + 1 = 2n + 1

now we find twice of the sum of consecutive numbers n and n + 1

2*(2n + 1) = 4n + 2

given that

twice the sum of consecutive numbers n and n + 1 is 510

thus,

4n + 2 = 510

=> 4n = 510 -2 = 508

=> n = 508/4 = 127

Thus, the numbers are n = 127

n+1 = 127 + 1 = 128

the smaller number is 127

4 0
3 years ago
A fish tank, in the shape of a rectangular prism with dimensions 40 inches by 17 inches by 26 inches, is 95% filled with water.
kaheart [24]
The final answer for this question is 591.28 cubic cm
4 0
3 years ago
A set of data with a mean of 53, and a standard deviation of 6.2 is normally distributed. Find the value of a data point that is
Evgesh-ka [11]

The value of a data point that is -2 standard deviations from the mean

so, 40.6 to 65.4.

<h3>What is the empirical rule?</h3>

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

P(\mu - \sigma < X < \mu + \sigma)  \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma)  \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma)  \approx 99.7\%

From the empirical rule, we know that for 95% we are in 2 standard deviations of the mean. so:

= 53- 6.2- 6.2

= 40.6

The value of a data point that is -2 standard deviations from the mean

53 + 6.2 + 6.2

= 65.4

Learn more about the empirical rule here:

brainly.com/question/13676793

#SPJ2

7 0
2 years ago
If F(x) = 5x-7 and G(x) = -2x+9 , what is F(G(x))?
dybincka [34]

Answer:

Step-by-step explanation:

7 0
3 years ago
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