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stich3 [128]
2 years ago
10

Positive integers greater than -6 but less than +21​

Mathematics
1 answer:
Nina [5.8K]2 years ago
7 0

Step-by-step explanation:

<u>Inequality to describe problem:</u><u> </u>

- 6 < x < 21

x represents the unknown integer(s).

Integers are positive or negative numbers that <u>don't</u> have a fraction, or a decimal.

<u>Positive integers that work in the inequality:</u>

<u>- 6 < 1< 21</u>

- 6 < 2 < 21

- 6 < 3 < 21

- 6 < 4 < 21

- 6 < 5 < 21

- 6 < 6 < 21

- 6 < 7 < 21

- 6 < 8 < 21

- 6 < 9 < 21

- 6 < 10< 21

- 6 < 11 < 21

- 6 < 12 < 21

- 6 < 13 < 21

- 6 < 14 < 21

- 6 < 15 < 21

- 6 < 16 < 21

- 6 < 17 < 21

- 6 < 18 < 21

- 6 < 19 < 21

- 6 < 20 < 21

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 work out as positive integers.

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If sine theta equals three over four, what are the values of cos θ and tan θ?
ratelena [41]

Answer:

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus  three over root seven

Step-by-step explanation:

Given that sin ∅ =3/4 It means the ratio of the opposite side to the hypotenuse side is 3:4.

Using the Pythagoras theorem we can calculate the hypotenuse adjacent as follows.

a²+b²=c²

a²=c²-b²

a²=4²-3²

a²=16-9

a²=7

a=√7

Then Cos ∅= opposite/ adjacent

=√7/4

Then Tan ∅ = opposite/adjacent

=3/√7

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus  three over root seven.

7 0
3 years ago
Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.9
mash [69]

Answer:

66.48% of full-term babies are between 19 and 21 inches long at birth

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean length of 20.5 inches and a standard deviation of 0.90 inches.

This means that \mu = 20.5, \sigma = 0.9

What percentage of full-term babies are between 19 and 21 inches long at birth?

The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then

X = 21

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

Z = \frac{21 - 20.5}{0.9}

Z = 0.56

Z = 0.56 has a p-value of 0.7123

X = 19

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

Z = \frac{19 - 20.5}{0.9}

Z = -1.67

Z = -1.67 has a p-value of 0.0475

0.7123 - 0.0475 = 0.6648

0.6648*100% = 66.48%

66.48% of full-term babies are between 19 and 21 inches long at birth

5 0
2 years ago
Heyo! I need some help, please. What is the x coordinate if (x, 17) is on a line that passes through the points (1, 2) and (-1,
expeople1 [14]

Answer:

  • x = 4

Step-by-step explanation:

<u>The line with points (1,2) and (-1,-8). Work out its equation.</u>

  • y = mx + b

<u>The slope is:</u>

  • m = (-8 - 2)/(-1 - 1) = -10/-2 = 5

<u>To find the y intercept, substitute x and y-xoordinates of point (1,2):</u>

  • 2 = 5(1) + b
  • b = 2 - 5
  • b = -3

<u>The line is:</u>

  • y = 5x - 3

<u>Point (x, 17), substitute y-coordinate and solve for x</u>

  • 17 = 5x - 3
  • 5x = 17 + 3
  • 5x = 20
  • x = 20/5
  • x = 4
5 0
3 years ago
Read 2 more answers
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Klio2033 [76]

Answer:

B'C' = 2

Step-by-step explanation:

Just took the FLVS test and it was correct

6 0
2 years ago
Select from the drop-down menus to correctly complete the statement.
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Therefore, the answer is
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4 0
3 years ago
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