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olga_2 [115]
2 years ago
12

1. Given the points P (1, - 4). Q (3,-2), R (-3,5), find the coordinates of the mid-points A and B of PO and PR respectively and

distance AB.
2. Calculate the value of cand the mean of the distribution with probability density function f(x) = cx? where x = 2,3,4 and 5.

- 3. Calculate P(A) given that P (AUB)= 0.98 where, P(B) = 0.72, if A and B are mutually exclusive events.

4. Given the center of a circles as (1,2) and radius 13 find its equation.

5. Find the eccentricity and the foci of the ellipse x2 - y2 16 9 1.​
Mathematics
1 answer:
aleksandrvk [35]2 years ago
5 0
1583.34 there you go
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Find the distance between (-2, 8) and (11, 2). Round to the nearest hundredth.
andrew11 [14]

Answer: 14.32 units

Step-by-step explanation:

The formula for calculate the distance between two points is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

In this case, given the points (-2,8) and (11,2), we can identify that:

x_2=11\\x_1=-2\\\\y_2=2\\y_1=8

Therefore, we just need to substitute values into the formula in order to calculate the distance between the given points. This is (Rounded to the nearest hundred):

d=\sqrt{(11-(-2))^2+(2-8)^2}\\\\d=14.32\ units

7 0
3 years ago
Without graphing, where will the line y=7x-2 cross the y axis?
Vadim26 [7]

Answer:

The line crosses the y-axis at -2

Step-by-step explanation:

y = mx + b    'm is the slope and b is the y-intersect (the place where the graph comes across the y-axis.

y = mx + b; y = mx + b; b = -2.  

5 0
3 years ago
If 3 units equal 3 feet, what is the value of 1 unit?
aleksklad [387]

Answer:1 foot

If 3 units equal 3 feet, what is the value of 1 unit?

5 0
3 years ago
Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with the
Andrei [34K]

Given:

Karen earns $54.60 for working 6 hours.

Amount she earns varies directly with the  number of hours she works.

She need to work to earn an  additional $260.

To find:

Number of hours she need to work to earn an  additional $260.

Solution:

Let the amount of earnings be A and number of hours be t.

According to question,

A\propto t

A=kt     ...(i)

where, k is constant of proportionality.

Karen earns $54.60 for working 6 hours.

54.60=k(6)

Divide both sides by 6.

\dfrac{54.60}{6}=k

9.1=k

Put k=9.1 in (i).

A=9.1t

Substitute A=260 in the above equation.

260=9.1t

Divide both sides by 9.1.

\dfrac{260}{9.1}=t

28.5714=t

t\approx 29

Therefore, she need to work extra about 29 hours to earn an  additional $260.

3 0
3 years ago
(-8)+8-(-7)<br><br> answer? please help
Dima020 [189]
-8 and +8 equal 0 since they cancel out. It's basically 8-8. So that leaves you with 0-(-7). The two negatives make a positive, now you're left with 0+7=7. Your answer is 7. Hope this helps :)
7 0
3 years ago
Read 2 more answers
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