A,B,C, and D are all answer choices
A common way for two people to settle a frivolous dispute is to
play a game of rock-paper-scissors. In this game, each person
simultaneously displays a hand signal to indicate a rock, a piece
of paper, or a pair of scissors. Rock beats scissors, scissors
beats paper, and paper beats rock. If both players select the
same hand signal, the game results in a tie.
Two roommates, roommate A and roommate B, are expecting
company and are arguing over who should have to wash the
dishes before the company arrives. Roommate A suggests a
game of rock-paper-scissors to settle the dispute.
Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 36% of the time, and
roommate B chooses rock 22% of the time; roommate A selects paper 32% of the time, and roommate B selects paper 25% of
the time; roommate A chooses scissors 32% of the time, and roommate B chooses scissors 53% of the time. (These choices are
made randomly and independently of each other.)
The probabilities were assigned using the
-------------------------
Define event A as the event that roommate A wins the game and thus does not have to wash the dishes.
What is P(A), the probability of event A?
a P(A) = 0.32
b P(A) = 0.22
c P(A) = 0.34
d P(A) = 0.38
Let event C be the event that the game ends in a tie.
What is P(C), the probability of event C?
a P(C) = 0.44
b P(C) = 0.33
c P(C) = 0.55
d P(C) = 0.25
Define event B as the event that roommate B wins the game and thus does not have to wash the dishes. What is the probability
that roommate B wins the game?
a P(B) = 0.67
b P(B) = 0.43
c P(B) = 0.33
d P(B) = 0.50
What is the complement of event A?
A^c= event A
A^c = event A or event C A^c = event B or event C
A^c = event C
The probability of N is

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer:

\(3.9*10^{-5}\)

Step-by-step explanation:

We need to scoot the point 5 places to the right for it to be a whole number, which is where the 5 comes in.

The area of the sector in the circle shown above is given as follows:

32.3 in².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it is given as follows:

r = 10 in.

Then the area of the entire circle is given as follows:

A = π x 10²

A = 314 in².

The entire circumference of the circle is of 360º, while the angle is of 37º, hence the area of the sector is given as follows:

37/360 x 314 = 32.3 in².

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Completing the square gives

\(\dfrac14x^2+bx+10=\dfrac14(x^2+4bx+40)=\dfrac14(x^2+4bx+4b^2+40-4b^2)\)

\(\implies\dfrac14x^2+bx+10=\dfrac14(x+2b)^2+10-b^2\)

At the point on the graph along the axis of symmetry, the squared term vanishes, so that when \(x=6\), we have \(x+2b=0\). So

\(6+2b=0\implies 2b=-6\implies\boxed{b=-3}\)

Answer:

y^-1 = x - 6

Step-by-step explanation:

change f(x) to 'y'

switch 'x' and 'y'

solve for 'y'

Answer:

Step-by-step explanation:

y = x + 6

x = y + 6

y + 6 = x

y = x - 6

f^-1(x) = x - 6

Answer:

t = {4, 2}

Step-by-step explanation:

|3t-9| = 3

Split into two parts,

3t-9 = 3, and -(3t-9) = 3

Solve

t-3 = 1, and -(t-3) = 1

t = 4, and -t+3 = 1

t = 4, and t=2

Answer:

Step-by-step explanation:

$100x0.5x1=$5

a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°

b) The measure of each interior angle of the regular nonagon is a = 140°

c) The measure of each exterior angle of the regular nonagon​ is b = 40°

Given data ,

Sum of the measures of the interior angles of a regular nonagon:

The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:

Sum of interior angles = (n - 2) * 180°

For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:

Sum of interior angles = (9 - 2) * 180

Sum of interior angles = 7 * 180

Sum of interior angles = 1260°

So, the sum of the measures of the interior angles of a regular nonagon is 1260°

Measure of each interior angle of a regular nonagon:

Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:

Measure of each interior angle = Sum of interior angles / Number of sides

Measure of each interior angle = 1260 / 9

Measure of each interior angle = 140°

So, the measure of each interior angle of a regular nonagon is 140°

Measure of each exterior angle of a regular nonagon:

The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°

Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:

Measure of each exterior angle = 360 / Number of sides

Measure of each exterior angle = 360 / 9

Measure of each exterior angle = 40°

Hence , the measure of each exterior angle of a regular nonagon is 40°

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Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

In pic

The probability the customer has neither a checking nor a savings account is 10%

The given parameters are:

P(checking account) = 80%

P(Savings account) = 60%

P(Both) = 50%

The probability that a customer has either of them is:

P(either) = 80% + 60% - 50%

Evaluate

P(either) = 90%

The probability that a customer has neither is:

P(Neither) = 1 - P(Either)

This gives

P(Neither) = 1 - 90%

Evaluate

P(Neither) = 10%

Hence, the probability the customer has neither a checking nor a savings account is 10%

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Answer:

\(-1t+31 +3 \geq -4\)

\(-1t +34 \geq -4\)

\(-1t \geq 30\)

\(t \geq -30\)

Answer:

In order, the answers are d, b, c, a

Step-by-step explanation:

\( \frac{ {x}^{7} }{ {x}^{4} } = {x}^{3} \)

\( {x}^{ - 3} = \frac{1}{ {x}^{3} } \)

\( {x}^{0} = 1\)

\( \frac{ {x}^{4} }{ {x}^{3} } = x\)

Answer:

Part A)

\(\displaystyle \frac{dy}{dx}=x^2+2x-7\)

Part B)

\(\displaystyle \Big(-4,\frac{53}{3}\Big)\text{ and } \Big(2, -\frac{37}{3}\Big)\)

Step-by-step explanation:

We are given the function:

\(\displaystyle y=\frac{x^3}{3}+x^2-7x-5\)

Part A)

To find dy/dx, differentiate both sides with respect to x:

\(\displaystyle \frac{dy}{dx}=\frac{d}{dx}\Big[\frac{x^3}{3}+x^2-7x-5\Big]\)

Differentiate:

\(\displaystyle \frac{dy}{dx}=x^2+2x-7\)

Part B)

We want the points on the curve where the gradient is parallel to y = x.

The equation y = x has a constant gradient of 1.

Therefore, we can set dy/dx = 1 and solve for x:

\(1=x^2+2x-7\)

Rewrite:

\(x^2+2x-8=0\)

Factor:

\((x+4)(x-2)=0\)

Thus:

\(x=-4\text{ and } x=2\)

And substituting them back for the original equation, we acquire:

\(\displaystyle y(-4)=\frac{(-4)^3}{3}+(-4)^2-7(-4)-5=\frac{53}{3}\)

And:

\(\displaystyle y(2)=\frac{(2)^3}{3}+(2)^2-7(2)-5=-\frac{37}{3}\)

Our points are:

\(\displaystyle \Big(-4,\frac{53}{3}\Big)\text{ and } \Big(2, -\frac{37}{3}\Big)\)

Answer:

Just give me the 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

maybe you typed the question wrongly or some

^^

Answer: the answer is A=33∘, B=107.5∘, and C=39.5∘ is correct or c

Step-by-step explanation:

To find the angles of triangle ABC with side lengths a=12, b=21, and c=14, we can use the Law of Cosines and then apply the Law of Sines to find the remaining angles. Let's denote the angles as A, B, and C respectively.

According to the Law of Cosines:

c^2 = a^2 + b^2 - 2ab * cos(C)

Plugging in the given side lengths:

14^2 = 12^2 + 21^2 - 2 * 12 * 21 * cos(C)

196 = 144 + 441 - 504 * cos(C)

504 * cos(C) = 389

cos(C) = 389 / 504

C = arccos(389 / 504)

Using a calculator to find the approximate value of C, we get C ≈ 43.5°.

The rational equation to represent the students average cycling speed is  105 = 26.25x.

A student taking part in a cross country endurance race was required to cycle 70 km then run for 7 km. Her average cycling speed was five times as fast as her average running speed. She completed the course in 5 hours and 15 minutes.

Therefore, the equation to represent the students average cycling speed can be calculated as follows:

speed  = distance / time

average running speed = x

Hence,

x = 7 / time

time = 7 / x

Hence,

average cycling speed = 5x

time = 70 / 5x

Therefore, she completed the course for 5 hours 15 minutes.

Hence,

5 hours 15 minutes = 5.25 hours

Therefore,

7 / x + 70 / 5x =  5.25

35 + 70 / 5x = 5.25

105 / 5x = 5.25

cross multiply

Therefore,

105 = 26.25x

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Answer:

The statement that is accurate is csc(θ)=1.06

Step-by-step explanation:

Looking at the reference angle in this triangle, we can see that the side that is 47 units is opposite of it, the side that is 50 units is the hypotenuse, and the side that is 17 units is adjacent to it.

Because we know this, we can plug our sides into the formula for cscθ, secθ, and cotθ.

So:

cotθ=adjacent/opposite = 17/47= 0.36

cscθ=hypotenuse/opposite = 50/47=1.06

Now without even looking at the other statements, we can see that the second one is correct as cscθ=hypotenuse/opposite = 50/47=1.06

Therefore, the statement that is accurate is csc(θ)=1.06.

Answer:

The first value of a relation is an input value and the second value is the output value. A function is a specific type of relation in which each input value has one and only one output value.

An input is an independent value, and the output value is the dependent value, as it depends on the value of the input.

The correct answer is option (e): None of these answers is correct.

The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.

The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.

Answer:

65 packets and 4 stamps

Step-by-step explanation:

The first thing we see is that the stamps are mixed... which means they must be added.

208 + 186 = 394 stamps total

Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.

394/6= 65.66667

Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.

Now we find the number of stamps left over by multiplying the number of packets by 6.

65 x 6= 390

Now we take the total number of stamps minus the number of stamps in packets.

394 - 390 = 4

Therefore, there are four stamps left over.

Hope this helps!

Wheat used by a floor mill is an intermediate goods (option C).

Intermediate goods are goods that are used as inputs in the production of other goods, rather than being sold directly to consumers. These goods are purchased by firms and other organizations to be used in the production of final goods, which are goods that are sold to consumers.

Intermediate goods can take many forms, including raw materials, semi-finished products, and components that are used in the production of finished goods.

Examples of intermediate goods include steel that is used to make cars, cloth that is used to make clothing, and electronic components that are used to make computers.

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The given question is incomplete, below is the complete question:

Which of the following is an intermediate goods?

A. Purchase of pulses by consumers

B. Machine purchased by a firm

C. Wheat used by a floor mill

D. Wheat used by households

Answer:

Step-by-sitstep explanation:

so its easy add ab and after that add the x

The required area of AXYD = 18.

Given that,
In the above, ABCD is a square with sides of length 6. If X is the midpoint of side AB, and If Z is the midpoint of CD, what is the area of AXYD is to be determined.

the rectangle is four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.

Since X is the midpoint of side AB, and If Z is the midpoint of CD,
The length of AX = 3, AD = 6
The Area of AXYD = 3 * 6
                            = 18

Thus, the required area of AXYD = 18.

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Answer:

.2 inches a min.

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

6 divided by 120 = 0.05

Hope this helps☺️

Answer:

-32+15= -17ft

Step-by-step explanation:

when substracting integers with different signs, you substract and keep the sign of the higher number. 32-15=17 and the higher number which is 32 has a negative sign so -17.

ANSWER

$6105.36

EXPLANATION

Tonya has a credit line of $10,000 and she has a present balance of $3,894.64.

To find out how much she can charge without exceeding her credit line, we have to subtract her present balance from the amount in her credit line.

That is:

That is how much she can charge.

Answer:

D. -3 + 2i and E. 3+2i are the zeroes for the equation.

Step-by-step explanation:

Answer:

She made a mistake in step 3

She simplified the 3^-8 incorrectly

she should've added them

the answer is 3^24 if you need that

Step-by-step explanation:

using the following rule

\(b/x^{-n}=bx^n\)

we can see that she made a made a mistake in step 3 when simplifying

she should've added 3^8 to 3^16 rather than subtracting them

Answer:

Look at this given and find your answer.

Step-by-step explanation:

Hope it helps you!!