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Answer:

a.) [tex]\frac{1}{6}[/tex]

b.) [tex]\frac{3}{15}[/tex]

c.) [tex]\frac{27}{36}[/tex]

Step-by-step explanation:

Given - We roll two fair 6-sided dice. If a fair dice is rolled, the probability

             of it landing on any number between [1-6] is equi- probable

             (i.e., [tex]\frac{1}{6}[/tex]).

To find - (a) Find the probability that doubles are rolled.

               (b) Given that the roll results in a sum of 6 or less, and  

                    the conditional probability that doubles are rolled.

               (c) Find the probability that the larger of the two die's outcomes

                    is at least 4.

Proof -

As given , two fair 6-sided dice is rolled.

The sample space is as follows :

S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

        (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

        (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

        (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

        (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

        (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)  }

Total number of outcomes = 36

a.)

Sample space that double are rolled = { (1, 1), ( 2, 2), ( 3, 3) , ( 4, 4), ( 5, 5), ( 6, 6) }

Total number of possible outcomes = 6

So, Probability = [tex]\frac{6}{36}[/tex] = [tex]\frac{1}{6}[/tex]

b.)

Sample space that roll shown sum of 6 or less = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)}

Now,

Total outcomes = 15

Total possible outcome that doubles are rolled = 3 ( i.e (1,1), (2, 2), (3, 3) )

So, Probability = [tex]\frac{3}{15}[/tex]

c.)

Sample space that larger of the two die's outcomes is at least 4 = { (1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }

Total possible outcomes = 27

So, Probability = [tex]\frac{27}{36}[/tex]

Answer:

1

Step-by-step explanation:

Answer:

Hypergeometric distribution

Step-by-step explanation:

The hypergeometric distribution is the type of geometric distribution that best describes this problem.

The hypergeometric distribution is a distribution function where weake selections from 2 groups and by doing so no members of the groups are replaced. The 2 groups are the two sections of probability and statistics.

Answer:

[tex]\theta = 4.8^\circ[/tex]

It is possible

Step-by-step explanation:

Given

See attachment for the construction

Solving (a): The minimum angle

This is calculated as thus:

[tex]tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

[tex]tan(\theta) = \frac{15}{180}[/tex]

[tex]tan(\theta) = 0.0833[/tex]

Calculate [tex]\theta[/tex]

[tex]\theta = tan^{-1}(0.0833)[/tex]

[tex]\theta = 4.761[/tex]

[tex]\theta = 4.8^\circ[/tex] --- approximated

Solving (b):

First; calculate the height of the building using the following equivalent ratio.

[tex]h : 420 = 15 : 180[/tex]

Where h is the height of the building

[tex]\frac{h }{ 420 }= \frac{15 }{ 180}[/tex]

[tex]h= \frac{15 }{ 180}*420[/tex]

[tex]h= \frac{15*420 }{ 180}[/tex]

[tex]h= \frac{6300}{ 180}[/tex]

[tex]h= 35[/tex]

This means that it is possible that the builder builds a 32 feet high building

From the picture attached,

Angle of depression = Angle of elevation (θ)    [Alternate angles]

Apply tangent rule in ΔCDP,

[tex]\text{tan}\theta=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\text{tan}\theta=\frac{CD}{DP}[/tex]

       [tex]=\frac{15}{180}[/tex]

       [tex]=\frac{1}{12}[/tex]

[tex]\theta=\text{tan}^{-1}(0.08333)[/tex]

[tex]\theta=4.76^\circ[/tex]

Use this property to get the height of the new building.

Since, ΔABP and ΔCDP are the similar triangles, their corresponding sides will be proportional.

[tex]\frac{AB}{BP}=\frac{CD}{DP}[/tex]

[tex]\frac{AB}{420}=\frac{15}{180}[/tex]

AB = [tex]\frac{420\times 15}{180}[/tex]

     = 35 feet

But the construction for a new building has a maximum height restriction of 32 feet.

And the height of the building is more than the restricted height.

    Therefore, it is not possible for the builder to have a rooftop patio with a view of the ocean.

Learn more about the similar triangles here,

https://brainly.com/question/10043253?referrer=searchResults

Answer:

A=2πrh+2πr2=2·π·2·4+2·π·22≈75.39822

Step-by-step explanation:

Answer:

x < 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Gang ima just take them points tbh

Step-by-step explanation:

Answer:

y=x(x-2)-8

Step-by-step explanation:

hope this helps :)

Answer:

Here's the answer:

r = √ ( x2 + y2 )

Answer:

To convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ):

1. r = √ ( x2 + y2 )

2. θ = tan-1 ( y / x )

I hope it's helpful!

n×r=£w

That is the equation you would use. Just put 5 in place of the N, and £10.40 in place of the R

Answer:

i d k

Step-by-step explanation:

Answer:

When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reversed. 16 > −4 and 4 > −1.

Answer:

13

Step-by-step explanation:

because I know cause my dad is adam sandler

Answer:

hello! :) have a good day!

Exact Form:

x = 202/27

Decimal Form:

x = 7.481

Mixed Number Form:

x = 7 13/27

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

Given

[tex]WX = x + 5[/tex]

[tex]XY = 3x - 13,[/tex]

Required

Find x

To do this, I will assume [tex]WX = XY[/tex].

So, we have:

[tex]x + 5 = 3x - 13[/tex]

Collect Like Terms

[tex]x - 3x = -5 - 13[/tex]

[tex]-2x = -18[/tex]

Divide by -2

[tex]x = 9[/tex]

Answer:

c im pretty sure because im good at this

Answer:

Step-by-step explanation:

Answer:

m<S = 92°

Step-by-step explanation:

Opposite angels of a cyclic quadrilateral are supplementary. That is, they sum up to 180°.

<S and <Q are opposite angles of the cyclic quadrilateral given.

m<Q = 88°

Therefore,

m<Q + m<S = 180°

88° + m<S = 180° (substitution)

m<S = 180° - 88° (substraction property of equality)

m<S = 92°

Answer:

[tex]\displaystyle -11[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -x² - 7x - 8

(1, 3) → a = 1, b = 3

Step 2: Find Average Rate

Answer:

Step-by-step explanation:

-1x^2-7x8

-1x^2-7x+8

-1x+8-7x

+1x +1x

----- ------

X -7x

8 -7x

---- -----

+7 +7

---- -----

15 1x/x

15 1x

---- -----

1 X

X=15

Before you do the actual work you have to study your times table that way it helps you to be fast and it will help you to work good underpressure when it comes to integers.

What you do to one side you do to the other.

Answer:

-12

Step-by-step explanation:

2 (2x-3y)-5xy

4x-6y-5xy

4(-2)-6(-1)-5*-2*-1

-8+6-10

-12

Based on the circumstances of the 100 workers and their union membership, the probabilities are:

Number of people with jobs in new companies:

= 14 + 10

= 24

There are 24 people who have found a new job and out of them, 14 are in a union. The probability here is therefore:
= 14 / 24

= 0.583

The number of people in a Union is:
= 39 + 14 + 6 + 2

= 61 people

Number of union people that have been unemployed is 2.

The probability here is therefore:

= 2 / 61

= 0.033.

Find out more on probabilities at https://brainly.com/question/25870256.

Answer:

? = 24

Step-by-step explanation:

Pizzas = 3

Because of this, burgers must be 2

2³ = 8

Tacos = 8

8 + 8 + 8 = 24

24

Explanation

Pizza Slice= 3

You divide 27 by 3, which gets you 9, then divide it by 3 again, which gets you 3 once more. 3 is how much a pizza slice is.

Hamburger = 2

Since we know a pizza slice is 3, we can do 3×3 to get us 9, which we would then have to divide 18 by 9 so we get the value of the Hamburger, which is 2.

With that information in mind, 3 Hamburgers (2×2×2) equals a Taco, which would be 8. And three tacos (8+8+8) equals 24.

Answer:

A: His raise was $23.8

B: He is making $1213.8

Step-by-step explanation:

Do 1190 divided by 100 and your answer will be

11.9 which is 1%, then do (11.9 + 11.9) + 1190 which will equal 1213.8

a. Will's raise was the amount of $23.80. b. Will is now making $1,213.80 biweekly.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.

Will receive a 2% increase in pay, He was making $1,190/biweekly.

a. Will's raise was $23.80. This can be calculated by multiplying his original biweekly payments of $1,190 by 2% (0.02).

b. Will is now making $1,213.80 biweekly. This can be calculated by adding his raise of $23.80 to his original biweekly payments of $1,190.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

Step-by-step explanation:

22

A thermally insulated vessel contains

150 g of water at 0°C. Then the air from the

vessel is pumped out adiabatically. A

fraction of water turns into ice and the rest

evaporates at 0°C itself. The mass of

evaporated water will be closest to:

(Latent heat of vaporization of

water = 2.10 x 106 Jkg - and Latent heat of

Fusion of water = 3.36 x 105J kg-1)

Answer:Melissa's  mom, dad, and brother  each drove 312miles, 168miles and 0 miles respectively

Step-by-step explanation:

If Mellisa's dad drove 35% of the way

and Melissa's mum drove 65% of the way,

Then

Melissa's brother did not drive at all because

Miles covered by her dad = 35% x 480 = 0.35 x480= 168 miles

Miles covered by her mum= 65% x 480 = 0.65 x 480=312miles

her mom, dad, and brother  each drove 312miles, 168miles and 0 miles respe ctively

Answer:

I think 12 I don't know if it's right or not but I tried

Answer:

its 105 :)

Step-by-step explanation:

its 100% correct <3

Answer:

[tex]\displaystyle m=\frac{-1}{7}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-2, 6)

Point (5, 5)

Step 2: Identify

x₁ = -2, y₁ = 6

x₂ = 5, y₂ = 5

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

So -1-9= -10

And if x =4 then 2(4)-4y=20

Y= -3

Step-by-step explanation:

2(4)-4y=20

8-4y=20

-4y=12

y=-3

Answer:

-1 - 9 = -10 &

y = -3

Step-by-step explanation:

2x - 4y = 20

2(4) - 4y = 20

8 - 4y = 20

-4y = 12

y = -3

good luck, i hope this helps :)

Answer:

8 = y

Step-by-step explanation:

In order to find a solution to an algebraic equation such as this one we simply need to isolate the variable. We do this by applying the opposite operation to each side in order to get rid of the other factors and get the variable alone. Like so...

20 = y + 12   ... we need to subtract 12 from both sides to get rid of the 12 on the right side with the variable y.

20 - 12 = y + 12 - 12

8 = y

Finally, we can see that the value of the variable y is 8

Answer:

Angles of Intersecting Chords Theorem

Step-by-step explanation:

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Answer: If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and it's vertical angle.

Step-by-step explanation: Example: In the circle, the two chords -PR and -QS intersect inside the circle. since vertical angles are congruent, m<1=m<3 and m<2=m<4

Answer:

w=-8

Step-by-step explanation:

take both sides and divide by 7

(w+13)=5

subtract both sides by 13

w=-8

Answer:

She can put 1/165 in one smoothie.

Step-by-step explanation:

1/3 divided by 55/1

1/3 x 1/55 = 1/165

Hope this helps! :)

plz make me the Brainiest