Find the midpoint between P(-5, -3) and Q(-2,8).<br>(4 Points)<br>

The probability that a plane departs on time at a certain airport is .87 The probability that a plane arrives on time given it d

sleet_krkn [62]

Answer:

0.9355

Step-by-step explanation:

What we will use here is conditional probability formula.

let A be the event that the plane departs on time

and B be the event that it arrives on time

P(A) = 0.87

P(B|A) = 0.93

P(B) = ?

P(A n B) = ?

Mathematically;

P(B|A) = P(B nA)/P(A)

0.93 = 0.87/P(A)

P(A) = 0.87/0.93

P(A) = 0.935483870967742

which is 0.9355 to four decimal places

7 0

2 years ago

Our library has 3,489 non-fiction books, 8,617 fiction books and 1,240 reference books. If there are 564 students and each stude

Pavlova-9 [17]

Answer:

9,962

Step-by-step explanation:

3,489+8,617+1,240=13,346

564*6=3,384

13,346-3,384=9,962

3 0

3 years ago

in circle O, AD and BE are diameters. the measure of arc AB is 55 and the measure of arc CD is 25 what is the measure of EAC

kicyunya [14]

280 please just trust me, its 280

5 0

3 years ago

Read 2 more answers

Find m∠STU and m∠TUA

PIT_PIT [208]

Answers:

angle STU = 65 degrees
angle TUA = 123 degrees

=========================================================

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

(angle TUS) + (angle TUA) = 180

angle TUS = 180 - (angle TUA)

angle TUS = 180 - (11x + 2)

angle TUS = 180 - 11x - 2

angle TUS = -11x + 178

Now focus on the interior angles of triangle TUS. We have these three angles

T = 5x+10
U = -11x+178
S = 58

For any triangle, the interior angles always add to 180, so,

T+U+S = 180

(5x+10) + (-11x+178) + (58) = 180

(5x-11x) + (10+178+58) = 180

-6x + 246 = 180

-6x = 180-246

-6x = -66

x = -66/(-6)

x = 11

Use this x value to find the angle measures we're after:

angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degrees
angle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees

--------------------------

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

In this case, we would say

(angle STU) + (angle TSU) = angle TUA

that leads to the equation

(5x+10) + (58) = 11x+2

Solving this should lead to x = 11 to generate the angles mentioned earlier.

6 0

2 years ago

Dianna and Becky were playing on the same soccer team and took turns being goalie. They stoped 9 out of 10 shots made against th

vitfil [10]

Answer:

27 balls

Step-by-step explanation:

If Dianna and Becky stopped 9 out of 10 shots made against them.

It means they allowed in 1 out of 10 shots made against them.

This is best solved using ratios

Proportion of Shots Stopped : Proportion of Shots allowed=9:1

If the other team scores 3 points, it means the number of shots allowed =3

Let x be the number of shots stopped

Number of Shots Stopped : Number of Shots allowed=x:3

Therefore:

9:1=x:3

$\frac{9}{1}=\frac{x}{3}$

Cross multiplying

x=9 X 3 =27

Dianna and Becky stopped 27 balls from going into the net,

6 0

3 years ago

Find the midpoint between P(-5, -3) and Q(-2,8).(4 Points)​

Find the midpoint between P(-5, -3) and Q(-2,8).(4 Points)