For a set of 5 positive integers, the mean is 4, the mode is 1, and the median is 5. What are the 5 numbers?

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Answer 1

Answer: Let the 5 integers be a,b,c,d and e (arranged in ascending order).
Since we know that the median is five, we can conclude that the value of c=5.
It's given that the mode is 1. 1<5, and has to be repeated more than once. Therefore, a and b = 1.
Now, the mean is 4. So, (1+1+5+d+e)=4
d+e=13 (d and e have to be greater than 5)
Which makes d=6 and e=7

In conclusion, the 5 integers are 1,1,5,6,7

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Help!! 7th grade mathematics

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I know that 4 is D and 6 is G

Which of the segments below is a secant?

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Answer:

d. $\overline{BC}$

Step-by-step explanation :

We are given that a circle of center O.

We have to find the segment that is secant.

Secant : If a line which intersect the circle at two points.Then the line segment is called secant.

a. $\overline{OA}$

It is false because segment OA intersect the circle at one point A only.

b. $\overline{CD}$

It is false because segment CD intersect the circle at point D only.

c. $\overline{BC}$

It is true because it intersect the circle at two points .

d. $\overline{AB}$

It is false because it intersect the circle at one point A only.

Answer:c. $\overline{BC}$

Answer:

Step-by-step explanation:

A secant is a line which intersects the circle at 2 points

In the given diagram this is BC

Can someone help me with this please, I need to get this thing done?

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Answer:

The answer is B (9)

Step-by-step explanation:

Count the distance.

Charles reads quickly he reads 1 3/7 pages every 2/3 of a minute. how many pages does he read per minute?

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First, I'd suggest finding a common denominator for your two fractions. Since 7 and 3 both go into 21, let's use that.

2/3 becomes 14/21, because 3 x 7 = 21, and 2 x 7 = 14
1 3/7 becomes 1 9/21, because 7 x 3 = 21, and 3 x 3 = 9

Now, to make the rest of it a bit easier, let's turn the fractions into decimals.

14/21 is 0.66
1 9/21 is 1.43

We can then turn this into a ratio, and then write an equation to solve for how many pages Charles reads per minute.

1.43 pages per 0.66 minutes, or 1.43/0.66

The equation to solve for this would then be
$(1.43)/(0.66) = (p)/(1)$
where p is the number of pages.

To solve for p, we simply cross multiply and divide.
1.43 x 1 = 0.66 x p
1.43 = 0.66 x p
1.43 ÷ 0.66 = p
p = 2.17

Charles reads 2.17 pages per minute.

The sum of two numbers is 100 and their difference is -20. What are the two numbers?

Answers

Answer:

x=40 and y= 60

Step-by-step explanation:

step:1

Let 'x' and 'y' are two numbers

given data the sum of two numbers is 100

x+y = 100......(1)

Given difference of two numbers are

x - y = -20 ......(2)

Step :2

solving the equation (1) and (2)

adding the equations (1) and (2)

x+y+x-y=100-20

cancelling 'y' terms are

2 x = 80

dividing "2" on both sides, we get

x = 40

Step :3

substitute x = 40 in equation (1)

x + y =100

40 + y = 100

subtracting "40" on both sides, we get

40 + y - 40 = 100 -40

y = 60

Final answer:-

The two numbers are x = 40 and y= 60

Use the work shown below to write the equation for a line that has a slope of and passes through (15, –2). y = mx + b What is the equation of the line in slope-intercept form?