Plz urgennt look at the image over 1000 points im going to need help with the last 4 questions i have?

For each married women, there are only two possible outcomes. Either they dislike their mother in law, or they do not. The probability of a women disliking their mother in law is independent of any other women, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

90% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention).

This means that [tex]p = 0.9[/tex]

Suppose that seven married women are having coffee together one morning.

This means that [tex]n = 7[/tex]

Question a:

This is P(X = 7), so:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{7,7}.(0.9)^{7}.(0.1)^{0} = 0.4783[/tex]

Thus, 0.4783 = 47.83% probability that all of them dislike their mother-in-law.

Question b:

This is P(X = 0), so:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.9)^{0}.(0.1)^{7} = 10^{-7}[/tex]

Thus, [tex]10^{-7}[/tex] probability that none of them dislike their mother-in-law.

Question c:

This is:

[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7)[/tex], so:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{7,5}.(0.9)^{5}.(0.1)^{2} = 0.1240[/tex]

[tex]P(X = 6) = C_{7,6}.(0.9)^{6}.(0.1)^{1} = 0.3720[/tex]

[tex]P(X = 7) = C_{7,7}.(0.9)^{7}.(0.1)^{0} = 0.4783[/tex]

Then

[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1240 + 0.3720 + 0.4783 = 0.9743[/tex]

0.9743 = 97.43% probability that at least five of them dislike their mother-in-law.

Question d:

This is:

[tex]P(X \leq 4) = 1 - P(X > 4)[/tex]

Considering [tex]P(X > 4) = P(X \geq 5) = 0.9743[/tex]:

[tex]P(X \leq 4) = 1 - P(X > 4) = 1 - 0.9743 = 0.0257[/tex]

Thus, 0.0257 = 2.57% probability that no more than four of them dislike their mother-in-law.

For another example of the binomial distribution, you can check https://brainly.com/question/15557838

9514 1404 393

Answer:

  38.1% decrease

Step-by-step explanation:

A percentage change is found from ...

  % change = (change)/(original amount) × 100%

  = (new value - original amount)/(original amount) × 100%

  = (13 -21)/21 × 100% = -8/21 × 100% ≈ -38.1%

Frazer's speed decreased by 38.1% during the second part.

_____

Additional comment

A negative % change represents a decrease; a positive % change represents an increase.

Answer:

56

Step-by-step explanation:

Angle Formed by Two Chords= 1/2(sum of Intercepted Arcs)

75 = 1/2 (94+d)

Multiply by 2

75*2 = 94+d

150 = 94+d

Subtract 94 from each side

150-94 = d

56=d

Answer:

slope = 6

tangent line y=6x-5

Step-by-step explanation:

-x² + 5x + 9 = 0

On comparing this equation to: ax²+bx+c= 0

We get, a = -1; b = 5; c = 9

Solving by quadratic formula,

x = [-b ± √(b²-4ac)]/2a

=> x = [-5 ± √{5²-4(-1)(9)}]/2(-1)

=> x = [-5 ± √(25-(-36)]/-2

=> x = [-5 ± √(25+36)]/-2

=> x = [-5 ± √61]/-2

=> x = [-5 + √61]/-2 or [-5 - √61]/-2

=> x = (-5/-2) + (√61/-2) or (-5/-2) + (-√61/-2)

=> x = (5/2) + (-√61/2) or (5/2) + (√61/2)

So, x = (5/2) + (-√61/2) or (5/2) + (√61/2)

Answer:

80x

Step-by-step explanation:

Bracket first

5 x 2 = 10

8x x 10 = 80x

(Unless the 'x' next to the 8 is the term for multiplying:

8 x 10 = 80)

Answer:

80

Step-by-step explanation:

8 x (5 x 2)

8 x 10

Answer = 80

Answer:

p=30

Step-by-step explanation:

First, you need to subtract 10 from both sides to get 1/2p=25. You do this just because simplifying is much easier.

Then, you need to isolate p, so you divide 1/2 by both sides, which is the same thing as multiplying by 2. 1/2*2p=15*2.

Simplifying, you get p=30.

Answer:

2. x = 2

3. p = 30

4. n = 1/10 ---> less than 1 whole

5. r = 5/2 ----> greater than 1 whole

Step-by-step explanation:

See the images attached below for better understanding. If you don't understand the steps I've composed, please comment down below and I will help you! :)

Answer:

6x - 13y

Step-by-step explanation:

5(2x - 2y) - (4x + 3y)

10x - 10y - 4x - 3y

10x - 4x - 10y - 3y

6x - 13y

9514 1404 393

Answer:

  1260

Step-by-step explanation:

The required number is the Least Common Multiple of the box sizes:

  LCM(20, 28, 36) = 4·5·7·9 = 1260

1260 pieces of fruit will be delivered so that none is left over.

Answer:

Step-by-step explanation:

Trapezoid area is the Average of the parallel lines times the width

A = ½(18 + 42)(12) = 360 ft²

The area of the garden plot is 360 ft².

A trapezoid is a four-sided closed 2D figure which has an area and its perimeter. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid.

Here, the length of parallel sides = 18ft. and 42 ft.

         Width of plot = 12 ft.

Area of Trapezoid = 1/2 X (b₁+b₂) X h

                              = 1/2 X (18 + 42) X 12

                              = 6 X 60

                             = 360 sq. ft.

Thus, the area of the garden plot is 360 ft².

Learn more about trapezoid from:

https://brainly.com/question/11908553

#SPJ2

Answer:

y = 48x + 36

Step-by-step explanation:

m = 48

y = 48x +36

Step-by-step explanation:

2 cups of water used with 4 packs

therefore for 12 we use x cups of water

2:4

X :12

therefore 6'cups of water?

Answer:

D) 54 cm

Step-by-step explanation:

We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is [tex]\frac{2}{3}[/tex] of the distance from each of the triangle's vertices to the midpoint of the opposite side.

Therefore, [tex]R[/tex] is [tex]\frac{2}{3}[/tex] of the distance from [tex]U[/tex] to [tex]V[/tex], since the latter is the midpoint of the side opposite to [tex]U[/tex]. We know this because [tex]R[/tex] belongs to [tex]UV[/tex], so [tex]R[/tex] must be [tex]QS[/tex]'s midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).

We can then write the following equation:

[tex]VR=\frac{1}{3} UV[/tex]

Substituting [tex]VR = 18[/tex] into the equation gives us:

[tex]18=\frac{1}{3} UV[/tex]

Solving for [tex]UV[/tex], we get:

[tex]18=\frac{1}{3} UV[/tex]

[tex]3 *18=3*\frac{1}{3}UV[/tex] (Multiply both sides of the equation by [tex]3[/tex] to get rid of [tex]UV[/tex]'s coefficient)

[tex]54=UV[/tex] (Simplify)

[tex]UV=54[/tex] (Symmetric Property of Equality)

Therefore, the answer is D. Hope this helps!

Answer:

d. this graph

Step-by-step explanation:

Answer:

(x − 7)2 + (y − 8)2 = 11

Step-by-step explanation:

I took the test

The equation of the circle with center at (7, 8) and radius of 11 is

(x - 7)²  +  (y - 8)²  =121

The equation of a circle with center at (a, b) and radius of r is:

(x - a)²  +  (y - b)²  =  r²

The center of the circle, (a, b)  =  (7, 8)

That is, a = 7, b = 8

The radius, r = 11

Substitute a = 7, b = 8, and r = 11 into the equation (x - a)²  +  (y - b)²  =  r²:

(x - 7)²  +  (y - 8)²  =  11²

(x - 7)²  +  (y - 8)²  = 121

Therefore, the equation of the circle with center at (7, 8) and radius of 11 is

(x - 7)²  +  (y - 8)²  =121

Learn more here: https://brainly.com/question/23226948

Answer:

There is no solution to this.

Explanation :

We have a double system of equation to solve. Let x be the big number and let y be the smaller number, such that y < x.

x is equal to twice a smaller number plus 3, which translates into : x = 2y + 3

and x is equal to twice the sum of the smaller number and 1 : x = 2 * (y + 1)

We get this system to solve : [tex]\left \{{{x=2y+3} \atop {x=2(y+1)}} \right. \left \{{{x-2y=3} \atop {x-2y=2}} \right.[/tex]

It's either x minus 2y equals 3, or x minus 2y = 2 but it can't be both. No solutions exist because the situation describes two lines that have the same slope and different y-intercepts

Answer:

Does the answer help you

Answer:

Step-by-step explanation:

Factored form: (x - 8)(x + 1)

x-int: (8, 0) and (-1, 0)

Axis of symmetry: -(-7)/2 = 7/2

Vertex: (7/2, -81/4)

Domain: all real numbers

Range: y>= -81/4

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Answer:

  a.  55%

Step-by-step explanation:

The percentage increase is calculated from ...

  % increase = (amount of increase)/(original amount) × 100%

  = (2219 -1432)/1432 × 100% = 787/1432 × 100% ≈ 54.96%

The number of births increased by about 55% during those 10 years.

Answer:

Step-by-step explanation:

2219-1432/1432 x 100% = 787/1432 x 100 = 54.9581~~ 55%

Answer:

C

Step-by-step explanation:

e = 20 ° angles subtended by the same arc are equal

d = 20° opp base angles of an isosceles are equal

a+d =90° angles subtended by a diameter = 90°

a+20=90°

a=70°

Answer:

Hello,

answer: m∠arc ET=25°

Y is out the circle .

y is a exterior angle of the circle.

Step-by-step explanation:

m∠y=58.5°

m∠arc GM=142°

m∠arc ET=x°

m∠arc ET=25°

Answer:

BELOW

Step-by-step explanation:

252 : multiply it by 7 to get 1764 and its square root is 42.

180: multiply it by 5 to get 900 and its square root is 30.

1008: multiply it by 7 to get 7056 and its square root is 84.

2028: multiply it by 3 to get 6084 and its square root is 78.

1458: multiply it by 2 to get 2916 and its square root is 54.

768: multiply it by 3 to get 2304 and its square root is 48.

A number should be a perfect square if its square root is a whole number. The square roots should be integers.

HOPE THIS HELPED

Answer:

y-1=x^2

Step-by-step explanation:

That is the equation of a parabola with vertex at (0,1). The equation is y-1=x^2.

Answer:

-5+3=-2

1/4 of 24 = 6

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given

[tex]tan^{-1}[/tex]x + [tex]tan^{-1}[/tex]y + [tex]tan^{-1}[/tex] z = π

let

[tex]tan^{-1}[/tex]x = A , [tex]tan^{-1}[/tex]y = B , [tex]tan^{-1}[/tex]z = C , so

x = tanA, y = tanB , z = tanC

Substituting values

A + B + C = π  ( subtract C from both sides )

A + B = π - C ( take tan of both sides )

tan(A + B) = tan(π - C) = - tanC ( expand left side using addition identity for tan )

[tex]\frac{tanA+tanB}{1-tanAtanB}[/tex] = - tanC ( multiply both sides by 1 - tanAtanB )

tanA + tanB = - tanC( 1 - tanAtanB) ← distribute

tanA+ tanB = - tanC + tanAtanBtanC ( add tanC to both sides )

tanA + tanB + tanC = tanAtanBtanC , that is

x + y + z = xyz

Answer:

$6.50

Step-by-step explanation:

First start by adding the prices of the pairs of shoes combined.

19.95+23.55=43.50

subtract the total price of both pairs of shoes from her total

50-43.50 = 6.50

Answer:

-7/5

Step-by-step explanation:

Slope,

(-4-3)/(3-(-2))

= -7/5

[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-4-3}{3+2}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-7}{5}[/tex]