Suppose A and B are independent events. P(A|B)= 0.7 and P(B)= 0.8, what is P(A and B)?

in circle F, points A,B,C,D, and E are located on the circle such that measure of C=119°, and BE is perpendicular AD. determine

VLD [36.1K]

Answer:

Measure of arc AE = 58°

Step-by-step explanation:

As shown: ABCD is a quadrilateral, ∠C = 119°

So, ∠C + ∠A = 180°

∴ ∠A = 180° - ∠C = 180° - 119° = 61°

ΔAGB is a right triangle at G

So, ∠A + ∠B = 90°

∴ ∠ABG = 90 - ∠A = 90 - 61 = 29°

Arc AE opposite to the angle ∠ABG

So, measure of arc AE = 2∠ABG = 2 * 29° = 58°

6 0

4 years ago

A person walks 1/2 miles trail in 1/6 hour what is their average speed as a unit rate

tatiyna

Answer:

6miles/hour

Step-by-step explanation:

Speed = Distance/time

So speed is: $\frac{\frac{1}{2}}{\frac{1}{6}}$

You will get 6/2 from this so you get 6miles/hour

4 0

4 years ago

1. To determine simple interest, we use the formula i=prt where i is the interest, p is the principal or initial amount, r is th

Andrews [41]

Step-by-step explanation:

To determine simple interest, we use the formula

$I=Prt$

where I is the interest, p is the principal or initial amount, r is the interest rate is in the unit of years and t is the time in years

When the times is 3 years , then we plug in 3 for 't' directly

$I=Pr(3)\\$

we know that 1 year = 12 months

Suppose, the time is given in months then we divide time 't' by 12

When the times is 4 months , then we plug in 4 for 't' and divide by 12

$I=\frac{Pr(4)}{12}$

we know that 1 year = 365 days

Suppose, the time is given in days then we divide time 't' by 365

When the times is 45 days , then we plug in 45 for 't' and divide by 365

$I=\frac{Pr(45)}{365}$

5 0

3 years ago

Which values from the given replacement set make up the solution set of the inequality? m+7<18 ; {8, 9, 10, 11}

Sever21 [200]

Answer: 8, 9, and 10

Step-by-step explanation: whatever value m is must be less than 18

3 0

3 years ago

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Find, to the nearest tenth, the area of the region that is inside the square and outside the circle. the diameter of the circle

Doss [256]

Answer:

Option $42.1\ in^{2}$

Step-by-step explanation:

we know that

The area of the region that is inside the square and outside the circle is equal to the area of the square minus the area of the circle

see the attached figure to better understand the problem

Step 1

Find the area of the square

Remember that

The area of the square is

$A=b^{2}$

where

b is the length side of the square

we have

$b=14\ in$

substitute

$A=14^{2}=196\ in^{2}$

Step 2

Find the area of the circle

Remember that

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=14/2=7\ in$

substitute

$A=\pi(7^{2})=153.9\ in^{2}$

Step 3

Find the area of the region

$196\ in^{2}-153.9\ in^{2}=42.1\ in^{2}$

5 0

4 years ago

Read 2 more answers