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olga2289 [7]
2 years ago
12

How to solve exterior angles

Mathematics
1 answer:
maks197457 [2]2 years ago
5 0
The exterior angle of a triangle is equal to the sum of the other 2 oposite interior angles
therfor

95=4x-8+3x-18
95=7x-24
add 24 both sides
119=7x
divide both sides by 7
17=x


sub back

4x-8
4(17)-8
68-8
60=∠F

3x-16
3(17)-16
51-16
35=∠G
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A large but sparsely populated county has two small hospitals, one at the south end of the county and one at the north end. The
Readme [11.4K]

Answer:

Step-by-step explanation:

Probability distribution of this type is a vicariate distribution because it specifies two random variable X and Y. We represent the probability X takes x and Y takes y by

f(x,y) = P((X=x,Y=y) ,

and given that the random variables are independent the joint pmf isbgiven by:

f(x,y) = fX(x) .fY(y) and this gives the table (see attachment)

(b) the required probability is given by considering X=0,1 and Y =0,1

f(x,y) = sum{(P(X ≤ 1, Y ≤ 1) }

= [0.1 +0.2 ] × [0.1 + 0.3]

= 0.3 × 0.4

= 0.12

Now we find

fX(x) = sum{[f(x.y)]} for y =0, 1 and similarly for fY(y)= sum{[f(x,y)]} for x=0, 1

fX(x) = sum{[f(x,y)]}= 0.1+0.3

= 0.4

fY(y) = sum{[f(x.y)]} = 0.1 + 0.2

= 0.3

Since fY(y) × fX(x) = 0.4 × 0.3

= 0.12

Hence f(x,y) = fX(x) .fY(y), the events are independent

(c) the required event is give by: [P(X<=1, PY<=1)]

= P(X<=1) . P(Y<=1)

= [sum{[f(x.y]} over Y=0,1] × [sum{[f(x.y)]}, over X= 0, 1

= 0.4 × 0.3

= 0.12

(d) the required event is given by the idea that: either The South has no bed and the North has or the the North has no bed and the South has. Let this event be A

A =sum[(P(X = 1<= x<= 4, Y =0)] + sum[P(X =0 Y= 1 <= x <= 3)]

A = [0.02 + 0.03 + 0.02 + 0.02] + [0.03 + 0.04 + 0.02]

A = [0.09] + [ 0.09]

A = 0.18

Pls note the sum of the vertical column X=2 is 0.3

3 0
3 years ago
Kayla bought a car that's price was reduced by 34%. The original price for the car was $16,000. How much did she spend on the ca
aliya0001 [1]

The price was reduced by 34%, so she paid 100-34 = 66% of the original price.

16,000 x 0.66 = 10,560

She paid $10,560

8 0
3 years ago
Read 2 more answers
6x — 4 &gt; 14or3х + 10 &lt; 4
Ipatiy [6.2K]

9514 1404 393

Answer:

  x < -2  or  3 < x

Step-by-step explanation:

<u>6x -4 > 14</u>

  6x > 18 . . . . add 4

  x > 3 . . . . . . divide by 6

<u>3x +10 < 4</u>

  3x < -6 . . . . subtract 10

  x < -2 . . . . . divide by 3

The solution is the union of disjoint sets:

  x < -2  or  x > 3

3 0
2 years ago
10 years ago, there were 35 mountain lions and today there are 21. Find the percent of change.
charle [14.2K]

Answer:

40%

Step-by-step explanation:

I I think they were asking about percentage decrease.percentage decrease=to decrease over original price x 100%

4 0
2 years ago
Solve for x. 3x + 5 = 23​
Lunna [17]

[|] Answer [|]

\boxed{X \ = \ 6}

[|] Explanation [|]

3x + 5 = 23

_________

_________

Subtract 5 From Both Sides:

3x + 5 - 5 = 23 - 5

Simplify:

3x = 18

Divide Both Sides By 3:

\frac{3x}{3} \ = \ \frac{18}{3}

Simplify:

X = 6

_________

_________

- Check Your Work -

Substitute 6 For X:

3 * 6 + 5 = 23

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

3 * 6 = 18

18 + 5 = 23

\boxed{[|] \ Eclipsed \ [|]}

8 0
3 years ago
Read 2 more answers
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