Help please im stuck

Answer:

P(A) = 0.4 ; P(B) = 0.50 ; P(C) = 0.60 ; P(A u B) = 0.65 ; P(A n B) = 0.25 ;

A and C are mutually exclusive ;

0.5

Step-by-step explanation:

S = {E1, E2, E3, E4, E5, E6, E7}

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05

Let:

A{E1,E4,E6}

B{E2,E4,E7}

C{E2,E3,E5,E7}

P(A) = 0.05 + 0.25 + 0.10 = 0.40

P(B) = 0.20 + 0.25 + 0.05 = 0.50

P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.60

AUB = {E1, E2, E4, E6, E7}

P(A u B) = 0.05 + 0.20 + 0.25 + 0.10 + 0.05 = 0.65

AnB = {E4}

P(A n B) = 0.25

A and C are mutually exclusive if AnC = ∅

A n C = ∅

Hence, A and C are mutually exclusive.

B complement = B' = {E1, E3, E5, E6}

P(B') = 0.05 + 0.20 + 0.15 + 0.10 = 0.5

Answer:

(1, 3).

Step-by-step explanation:

x + 2y = 7

3x - 2y = -3

Adding the 2 equations will eliminate y:

4x  = 4

x = 4/4

x = 1

Plug x = 1 into the first equation:

1 + 2y = 7

2y = 6

y = 3.

Answer:

True

Step-by-step explanation:

Answer:

e

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

The answer is Angle 1 and Angle 2.

Answer:

k = 7

Step-by-step explanation:

3(k - 2) + 7 = 29 - k

3k + k = 29 + 6 - 7

4k = 28

k = 7

Answer:

hi

Step-by-step explanation:

et the number of feet they are going to expand the width and length of the patio. ... But, we also know form our problem that they want to increase the total area of the patio by 160 ... Now we can equate the expanded area of the patio and simplify: ... Write the quadratic equation in standard form: x^2- 1 = -7x.

Answer:

undefined

Step-by-step explanation:

The line is a vertical line

Vertical lines have an undefined slope

Answer:

i think its A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Step-by-step explanation:

So , the value of x is greater then -6 . So , Correct option is  A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Heya, how are you doing today ^-^

Answer:

Step-by-step explanation:

difference of x-coordinates = 4-(-3) = 7

difference of y-coordinates = 0-(-2)  = 2

length of MN = √(7²+2²) = √53 ≅ 7.28 units

tanθ = 2/7

θ = arctan(2/7) ≅ 15.9°

heading = 74.1° from north

The magnitude and direction of points M(-3, -2) and N(4, 0) is 7.28 units and 74.1 degrees

We have:

M(-3, -2) and N(4, 0)

Calculate the magnitude using

[tex]MN =\sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2[/tex]

This gives

[tex]MN =\sqrt{(4 + 3)^2 +(0 + 2)^2[/tex]

Evaluate

MN = 7.28

The direction is calculated as:

[tex]\theta = 90 - \tan^{-1}(\frac{y_2 - y_1}{x_2 -x_1})[/tex]

This gives

[tex]\theta = 90 -\tan^{-1}(\frac{0+2}{4+3})[/tex]

[tex]\theta =90 - \tan^{-1}(\frac27)[/tex]

Take the arc tan

[tex]\theta = 90 - 15.9\°[/tex]

Evaluate

[tex]\theta = 74.1\°[/tex]

Hence, the magnitude and direction of points M(-3, -2) and N(4, 0) is 7.28 units and 74.1 degrees

Read more about magnitude and direction at:

https://brainly.com/question/3184914

#SPJ6

Answer:

L = 5[tex]\sqrt{10}[/tex]

Step-by-step explanation:

use Pythagorean Theorem:

L² + (5[tex]\sqrt{2}[/tex])² = (10[tex]\sqrt{3}[/tex])²

L² + 25(2) = 100(3)

L² + 50 = 300

L² = 250

L = [tex]\sqrt{250}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{10}[/tex] = 5[tex]\sqrt{10}[/tex]

Answer:

by Pythagoras law

(10√3)²=l²+(5√2)²

100×3-25×2=l²

l²=25o

l=√250=5√10

:.l=5√10

Answer:

kjkh

Step-by-step explanation:

hkkhk

Answer:

Step-by-step explanation:

Answer:

Could you put this in english so that i'm able to answer..?

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3 + 2 = 5

Answer:

5

Step-by-step explanation:

A. 3 2/5

B. 1 3/5

C. 2 1/2

hope this helps!!

BRAINLIEST PLS??

the answer is 80 ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

you take 9 x 8 and get 72 then you just add 8 to it and get 80.

Answer:

9

Step-by-step explanation:

basically multiplying each number by 9

1x9=9 2x9=18 3x9=27 and 4x9=36

it's pretty easy tbh (love the pfp)

Answer:

Step-by-step explanation:

It depends on the number of terms in the progression. If there are n terms:

S_n = n × (6 + 46)/2

Answer:

x = 2

Step-by-step explanation:

m<WUV = 2(m<1) (angle bisector)

28x = 2(13x + 2)

28x = 26x + 4

Collect like terms

28x - 26x = 4

2x = 4

2x/2 = 4/2

x = 2

Answer:

a solid material that is typically hard, shiny, malleable, fusible, and ductile, with good electrical and thermal conductivity ( iron, gold, silver, copper, and aluminum, and alloys such as brass and steel)

Step-by-step explanation:

Answer:

if I am not mistaken.. the median would be 9 and the the mean is also 9.

Step-by-step explanation:

first you order the numbers from least to greatest and the find with is the middle number to find the median.

6,7,8,8,8,9,10,12,13 (answer: 9)

To find the mean you will add all of the numbers up and then divide that number by the amount of numbers there are.

1) 6+7+8+8+8+9+10+12+13= 81

2) 81 ÷ 9 =9

Answer:

Mean: 9, Median: 8 Mode: 8

Step-by-step explanation:

MEAN:   The AVERAGE total of all the values divided by the numbers of values.

6 + 7+ 8 + 8 + 8 + 9 + 10 + 12 + 13 = 81        81/9 (set of #'s)= 9

MEDIAN:  The number in the MIDDLE of the list of values.

6, 7, 8, 8, 8, 9, 10, 12, 13         So, the middle value is 8

MODE:   The number that appears the most.

6, 7, 8, 8, 8, 9, 10, 12, 13         So, 8 appears 3 times.

Hope this helps!

Answer: 1 /2  ( x 2  −  16 x  +  6 )

Step-by-step explanation:

Answer:

(8,-29)

Step-by-step explanation:

Comment if you need work  

Brainliest would be appreciated :)