A fair 6 sided die is rolled twice. What is the probability that the first number that comes up is greater than or equal to the second number?.

Using excel, we can determine that the likelihood that a randomly picked steel plate measuring 1 foot by 1 foot contains two or fewer faults is 0.862.

This is further explained below.

Generally, the characteristic or condition of being probable; the degree to which something is likely to occur or be the case. the likelihood of anything happening or something is the case.

In conclusion, In this section, we will make the assumption that the number of defects found in a steel plate measuring 1 foot by 1 foot has a Poisson distribution with a mean of 1.28.

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Answer:

Step-by-step explanation:

Answer

False but close.

The intercept arc and the central angle are equal.

Answer: G=4

Step-by-step explanation:

Use a³+b³ +c³ - 3abc

Here a = 2a²

b= -a

And c = 1

Answer:

Step-by-step explanation:

The area of the triangle LMN is 4 units squared.

The area of a triangle can be described as follows:

The area of the triangle by using the base and height of the triangle.

area of a triangle = 1 / 2 bh

where

Therefore,

base = NL = 4 units

height = PM = 2 units

Therefore,

area of the triangle = 1 / 2 × 4 × 2

area of the triangle = 8 / 2

area of the triangle = 4 units²

Therefore, the area of the triangle LMN is 4 unit squared.

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Answer: B. 4 Square Units

Step-by-step explanation:

The difference between the tallest and shortest heights is 0.787 × 10

From tallest to shortest:

Difference between tallest and shortest heights =

3.212 x 10⁴ - 2,425

= 3.212 x 10⁴ - 2.425 × 10³

= (3.212 - 2.425) × 10^4 - 3

= 0.787 × 10

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Answer:

obtuse angle triangle

Step-by-step explanation:

please make me Brilliant for this correct answer

Multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Pythagoras's principle follows the rule:

c² = a² + b²

where

Therefore, Pythagorean triples are a² + b² = c² where a, b and c are the three positive integers. The most known and smallest triplets are (3,4,5).

If we reduced the length of the side of the triangle with the greatest common factor, it should give us 3, 4, 5.

Hence,

21, 28 and 35 has greatest common factor as 7

21 / 7 , 28 / 7 and 35 / 7

3, 4, 5

Hence, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

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Answer:

A, C, E, F

Step-by-step explanation:

since nothing else was said, it is a general triangle. nothing special about it.

so, the only rules are that the sum of any pair of sides must be longer than the 3rd side (otherwise, if the 3rd side is longer, the sides could not connect).

A. 10.

so, we have

6 + 9 > 10 true

6 + 10 > 9 true

9 + 10 > 6 true

therefore this is a possible 3rd side.

B. 2.

so, we have

6 + 9 > 2 true

6 + 2 > 9 false

9 + 2 > 6 true

therefore this is NOT a possible 3rd side.

C. 4.

so, we have

6 + 9 > 4 true

6 + 4 > 9 true

9 + 4 > 6 true

therefore this is a possible 3rd side.

D. 15.

so, we have

6 + 9 > 15 false

6 + 15 > 9 true

9 + 15 > 6 true

therefore this is NOT a possible 3rd side (this triangle is a special case as 6+9 = 15 : it can only exist as a completely flat line and is therefore not a triangle).

E. 12.

so, we have

6 + 9 > 12 true

6 + 12 > 9 true

9 + 12 > 6 true

therefore this is a possible 3rd side.

F. 7.

so, we have

6 + 9 > 7 true

6 + 7 > 9 true

9 + 7 > 6 true

therefore this is a possible 3rd side.

Players no longer need commitment strategies to reach a mutually-beneficial cooperative equilibrium when games are repeated.

This is an exercise related to Game Theory.

The extended form is typically used to depict repeated games, commonly referred to as supergames, in game theory since they occur repeatedly across time.

The potential of collaborating means that we may choose to compromise in order to continue earning a payout over time, knowing that if we do not fulfill our part of the bargain, our adversary may decide not to either.

As contrast to one-shot games, recurring games provide a new set of incentives.

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For two bathroom remodel estimate budget is $[tex]20000[/tex] for both remodels. when the project is finished all the supplies came in at the estimated budget except for two vanities which were each $[tex]100[/tex] less than the budgeted .So the actual cost of two bathroom remodel is $ [tex]19800[/tex] and the different of actual and expected budgets is $[tex]200[/tex]

How can we find the actual costing of the bathroom remodel ?

Expected estimate budget of two bathroom's remodel is $[tex]20000[/tex]

So budget of one bathroom remodel is

[tex]20000/2\\=10000[/tex]

All supplies are come except for two vanities which were each $[tex]100[/tex]

So for two bathroom remodels

[tex]=2*100\\=200[/tex]

So the actual cost of remodel of both bathroom is

[tex]=20000-200\\=19800[/tex]

And difference between actual and estimated cost is

[tex]=20000-19800\\=200[/tex]

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The value of 8√6 as a square root is √384

Surd are written as the square root of prime numbers. Given the expression below;

8√6

This is can be written as;

8√6 = √(8 * 8 * 6)

8√6 = √64 * 6

8√6 = √384

Therefore the value of 8√6 as a square root is √384

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Answer:

C.

Step-by-step explanation:

For any of the given functions, all of the first input values (x-values) in the relation are considered the domain values. On the other hand, the output values (y-values) are called the range values of the given equation.

The mapped relation is the domain (1, 2, 3). Since this is domain values (x-values), the correct answer will be the mapped with 1, 2, and 3 on the left side.

The correct answer is C.

Hope this helps!

Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "area and graphs." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

Answer:

Step-by-step explanation:

Day 1 = 2 birds

day 2 = 3 birds

day 3 = 9 birds

day 4 = 8 birds

day 5 = 1 bird

On day 1 the points are (1,2)

On day 5 the points are (5,1)

(I am picking these for the points because I don't know your options for the selecting area.)

we use this formula y2-y1/x2-x1

2-5/1-1

3/0

our answer is infinite which is the relation and this is an infinite function

Answer:

◘ (1, 2)

◘ (2, 3)

◘ 3

◘ is

◘ each value of Day corresponds to exactly one value of Number of birds

Explanation:

◘◘ In the graph, Days represents the x-axis, and Number of birds represents the y-axis. Therefore each marked point on the graph can be thought of as a Cartesian coordinate. This means that the answers for the first and second question could be any of (1, 2), (2, 3), (3, 9), (4, 8), or (5, 1).

◘ In the graph, we can see that the point above Day 2 corresponds to 3 on the Number of birds axis, which means on day 2, 3 birds visited the feeder.

◘ The relation shown is a function because each value of Day corresponds to exactly one value of Number of birds. A function is a relationship that provides one output for each input, and this graph follows that.

Answer:

120 ft cubed

Step-by-step explanation:

V=lwh

V=10(4)(3)

V=120 ft cubed

Hello,

[tex]( \frac{1}{3} ) {}^{3} = \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} = \frac{1 {}^{3} }{3 {}^{3} } = \frac{1}{27} [/tex]

Hi! ⋇

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

[tex]\sf\color{darkblue}{( \frac{1}{3}) ^{3} = \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} = \frac{1} {27} }[/tex]

The time that a member hold his/her position at the agency is approximately 0.1 year.

Given that twenty members are elected to an agency every two years and there are 100 members on a average overall.

We have to find the time that a member hold his position at the agency.

To calculate the time we have to use multiplication which means product of two numbers.

In 2 years agency elected 20 members. It shows like under:

2 years=20 members

We require 100 members at one end so we will multiply by 5 both sides.

10 years=100 members

Now take 100 to left side of equal to sign.

10/100=1 member

1 member=1/10

=0.1

Hence a member holds 0.1 year at the agency.

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Answer:

24

Step-by-step explanation:

3x4x2=24

When finding the answer to this problem, you times all of the options by each other.

The solution of the inequality, |x + 6| ≥ 5 is given as follows,

(A) x > -1

(B) It follows that x either belongs to the interval (-∞, -11) or to the interval (-1,∞) for the given absolute inequality.

(A) Solving the Given Inequality:

|x + 6| ≥ 5

x+6 ≥ 5 or x+6 ≤ (-5)

x+6-6 ≥ 5-6 or x+6-6 ≤ (-5)-6

x ≥ -1 or x ≤ -11

Hence the solution of the given inequality is given as,

x ∈ (-∞, -11] or x ∈ [-1, ∞)

(B) Description of the Solution

From the given absolute inequality, it can be concluded that x either belongs to the interval (-∞, -11] or to the interval [-1, ∞). Hence, on the number line, the solution of the inequality will be shown as a shaded region from -∞ to -11 and from -1 to ∞. The area between -1 and -11 will remain unshaded.

In the deduced solution, the interval is either open or closed on both sides. Open interval means the extreme value is not includes. On the other hand, closed interval indicates inclusion of the extreme point in the solution of the inequality.

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See below for the solution to the questions

The given parameters are:

Area = 138

a = 4x - 1

b = x - 4

Height = 12

The area is calculated as:

Area = 0.5 * (a + b) * height

So, we have:

0.5 *(4x - 1 + x - 4) * 12 = 138

This gives

5x - 5 = 23

Add 5 to both sides

5x = 28

Divide by 5

x = 5.6

Recall that:

a = 4x - 1 = 4 * 5.6 - 1 = 21.4

b = x - 4 = 5.6 - 4 =  1.6

Hence,  the short base length is 1.6 meters and the long base length is 21.4 meters

The sides are given as:

x = 22

y = 24

z = 25

The largest angle always opposite the largest side.

This means that the largest angle is Z

The radius is given as:

r = 29

The circumference is calculated as:

[tex]C = 2\pi r[/tex]

So, we have:

[tex]C = 2\pi *29[/tex]

Evaluate

C = 182.21

Hence, the circumference is 182.21 inches

The measure of the arc is given as:

[tex]\theta = 69^o[/tex]

The angle LIK is calculated as:

[tex]m\angle LIK = \frac{\theta}2[/tex]

So, we have:

[tex]m\angle LIK = \frac{69^o}2[/tex]

Evaluate the quotient

[tex]m\angle LIK = 34.5^o[/tex]

Hence, the measure of the angle is [tex]m\angle LIK = 34.5^o[/tex]

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It is true that the U.S. economic system would be seriously strained if we completely eliminated poverty level wages."

The poverty level wages stipulates the lowest or minimum possible wages that a person can be paid in a functional economy. The maintenance of the poverty level wages helps the economy to remain functional and afloat.

Thus, it is a true statement that; From a functionalist view point, the U.S. economic system would be seriously strained if we completely eliminated poverty level wages."

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Answer:

y = - [tex]\frac{7}{4}[/tex] x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{7}{4}[/tex] x - 2 ← is in slope- intercept form

with slope m = - [tex]\frac{7}{4}[/tex]

• Parallel lines have equal slopes , then

y = - [tex]\frac{7}{4}[/tex] x + c ← is the partial equation

to find c substitute (4, - 2 ) into the partial equation

- 2 = - 7 + c ⇒ c = - 2 + 7 = 5

y = - [tex]\frac{7}{4}[/tex] x + 5 ← equation of line

Use the rules of exponents to simplify the expression.

[tex]\large\displaystyle\text{$\begin{gathered}\sf (C^{4})^{3} \end{gathered}$}[/tex]

To raise a power to another power, multiply the exponents.

[tex]\large\displaystyle\text{$\begin{gathered}\sf C^{4\times3} \ \to \ Multiply \end{gathered}$}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf C^{12} \end{gathered}$}}[/tex]

Therefore, the correct option is "C".

Answer: 100

Step-by-step explanation:

The angles with measure 100° and x° are vertical angles, which are two opposite angles made from two intersecting lines. These vertical angles are always the same measure.

Hence, both x and 100 have the same measure.

Answer: [tex]5\sqrt{2}[/tex] m

Step-by-step explanation:

Using the pythagorean theorem, we get that the shortest distance it can travel is [tex]\sqrt{3^2+4^2+5^2}[/tex] = [tex]5\sqrt{2}[/tex] m

The true mean expenditure per student is different from $10,337.

What is hypothesis in math?

Sample size is greater than 30 and the population standard deviation is given. Thus, in order to test

H0: µ =$10,337

H1: µ≠$10,337

The appropriate test is one sample z test.

The formula for one sample z test:

Z=   x−μ / σ √ n

x−μ

​x=10798

μ=10337

σ=1560

n=150

[tex]Z = \frac{10798 - 10337}{1560 / \sqrt{150} } = 3.62[/tex]

Computation of p-value:

The EXCEL formula to find the p-value for a two-tailed z-test is

“=2*(1-NORM.S.DIST(3.62, TRUE))”

Thus, the p-value obtained is 0.00029

Conclusion using α = 0.05:

Rejection rule using p-value:

If p-value ≤ α, then reject the null hypothesis.

Since, 0.00029 < 0.05, there is sufficient evidence to reject the null hypothesis.

Therefore, the true mean expenditure per student is different from $10,337.

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Option D. The triangle inequality theorem is verified by by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side.

From the given picture we can see the length of the sides. These are 7, 4 and 15.

The length of the two sides cannot join due to the fact that they are less than 15.

4 + 7 < 15

11< 15

Hence the answer is D.

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by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side

The expression is simplified to x

g(x) = (x ^ 3 - 9x)/(x ^ 2 - 6x + 9)

First, we simplify the numerator

= [tex]\frac{x (x^2 - 3^2)}{x^2 - 6x + 9}[/tex]

Now, let's solve the quadratic equation in the denominator

= [tex]\frac{x(x^2 - 3^2)}{x^2 - 3x - 3x + 9}[/tex]

= [tex]\frac{x(x^2 - 3^2)}{x(x-3) - 3(x - 3)}[/tex]

= [tex]\frac{x(x - 3) (x -3)}{(x -3) ( x-3)}[/tex]

Divide the like factors

= x

The answer is x

Thus, the expression is simplified to x

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See below for the converse, inverse, and contrapositive of the statement

The statement is given as:

If Brielle drives at exactly 30 mi/h, then she travels 10 mi in 20 mins

The speed is calculated as:

Speed = Distance/Time

So, we have:

Speed = 10 mi/20 mins

This gives

Speed = 10 mi/1/3 h

Speed = 30 mi/h

The converse

To do this, we simply switch the hypothesis and the conclusion

So, the converse is:

If Brielle travels 10 mi in 20 mins, then she drives at exactly 30 mi/h

The above statement is true

The inverse

To do this, we simply negate the hypothesis and the conclusion

So, the inverse is:

If Brielle did not drive at exactly 30 mi/h, then she did not travel 10 mi in 20 mins

The above statement is false

The contrapositive

To do this, we simply negate the hypothesis and the conclusion, and then switch them

So, the contrapositive is:

If Brielle did not travel 10 mi in 20 mins, then she did not drive at exactly 30 mi/h

The above statement is false

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