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Snezhnost [94]
3 years ago
10

How to make 4/7 into a rational number?

Mathematics
1 answer:
MrMuchimi3 years ago
8 0
4/7 is a rational number. A rational number is a number that can be turned into or is a fraction.
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Graph a right triangle with the two points 4,5 and -4,8​
Katyanochek1 [597]

Answer:

Step-by-step explanation:

Please write points using parentheses:  (4, 5) and (-4, 8}.

​

(4, 5) is in the 1st quadrant and (-4, 8} is in the 2nd. Reversing the order of these two points yields (-4, 8) and (4, 5).  From this we can see that while moving from (-4, 8) to (4, 5) involves following a line with negative slope (because the y-coordinate decreases from 8 to 5 as the x-coordinate increases from -4 to +4).  This sloping line is the hypotenuse of a right triangle.  Draw a vertical line segment through (-4, 8) and a horizontal line segment through (4, 5).  This hypotenuse, the vertical line segment and the horizontal line segment are the boundaries of the desired right triangle.  

6 0
3 years ago
The average life of individual is 70 years. With a standard deviation of 5.5 years. Assume that the lives of these individuals i
Harlamova29_29 [7]

Answer:

The answer is below

Step-by-step explanation:

Given that:

mean (μ) = 70 years, standard deviation (σ)= 5.5 years.

a) The z score measures how many standard deviation a raw score is above or below the mean. It is given as:

z=\frac{x-\mu}{\sigma}, for a sample size of n, the z score is: z=\frac{x-\mu}{\sigma/\sqrt{n} }

Given a sample of 5 turtles, we have to calculate the z score for x = 60 and x = 80.

For x = 60:

z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{60-70}{5.5/\sqrt{5} } =-4.07

For x = 80:

z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{80-70}{5.5/\sqrt{5} } =4.07

The probability that a mean life of a random sample of 5 such turtles falls between 60 and 80 years = P(60 < x < 80) = P(-4.07 < z < 4.07) = P(z < 4.07) - P(z < -4.07) = 1 - 0 = 1 = 100%

b) The z score that corresponds to top 10% is -1.28.

z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\-1.28=\frac{x-70}{5.5/\sqrt{5} }\\ x-70=-3\\x=70-3\\x=67\ years

3 0
3 years ago
Add. Write your answer as a fraction in simplest form. 9/10 +(− 4/5 )
aliya0001 [1]
1/10 I’m pretty positive
4 0
3 years ago
Read 2 more answers
Through which pairs of points is the slope negative? Select all that apply. a. (3, 6) and (10, 6)
xeze [42]
Trial and error on this one try each pair till you find negative slopes
C and D
5 0
3 years ago
At the last showing, 35% of the seats in the theater were empty. If 546 people were in attendance, how many total seats are ther
Arisa [49]

Answer:

=> ( 546 x 65 ) /35 = 294

total seats are there : 294 +546 = 840 seats

Step-by-step explanation:

4 0
2 years ago
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