The price, p, of a game system is on 25% sale.​

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Find the new price of the system after the sale discount.​

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The Probability that the next pair Michael takes out is black = 8 / 19

What is Probability?

Probability is deals with "occurrence of Random event. The value is expressed from 0 to 1".

According to the question,

Total number of pairs of socks = 8 + 12 =20

Probability of taking pairs of black socks,  P(B )= 8 / 20

Probability of taking pairs of white socks,  P(W) = 12 / 20

But after taking Black pair socks the total number socks = 19.

Hence, the Probability of taking Black pair socks from drawer is 8 / 19 .

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Answer:

The answer is given below

Step-by-step explanation:

1) The persons are given by the matrix:

The number of different pie flavours is given by the matrix:

\(n=\left[\begin{array}{cccc}3&4&1&1\\6&6&4&6\\2&2&5&4\end{array}\right]\)

The cost of ingredients for each pie is given by the matrix:

\(I=\left[\begin{array}{ccc}3\\5\\2\\6\end{array}\right]\)

2)

\(\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{cccc}3&4&1&1\\6&6&4&6\\2&2&5&4\end{array}\right] \left[\begin{array}{ccc}3\\5\\2\\6\end{array}\right] \\\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{ccc}37\\92\\50\end{array}\right]\)

3) The cost of pie for Patricia = $92

The total cost of pie for all bakers = 37 + 92 + 50 = $179

The ratio of cost of Patricia pie to that of all three bakers = $92/$179 = 0.514

Patricia pie cost of ingredients is more than half of that of all three bakers

4)

The price of pie at Samuels sweet is represented by the matrix:

\(SA=\left[\begin{array}{ccc}8\\10\\7\\12\end{array}\right]\)

The income of each baker made by selling at samuels sweets is:

\(\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{cccc}3&4&1&1\\6&6&4&6\\2&2&5&4\end{array}\right] \left[\begin{array}{ccc}8\\10\\7\\12\end{array}\right] \\\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{ccc}83\\208\\119\end{array}\right]\)

The price of pie at Sugary Sarah is represented by the matrix:

\(SS=\left[\begin{array}{ccc}8\\9\\8\\13\end{array}\right]\)

The income of each baker made by selling at Sugary Sarah is:

\(\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{cccc}3&4&1&1\\6&6&4&6\\2&2&5&4\end{array}\right] \left[\begin{array}{ccc}8\\9\\8\\13\end{array}\right] \\\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{ccc}81\\212\\126\end{array}\right]\)

5) Patricia yielded the greatest income. She made $208 + $212 = $420

6) Polly made $126 from selling at Sugary Sarah

Answer:

Step-by-step explanation:

# elements = 292 - 268 - 1 = 23 elements

G has 2^23 subsets = 8388608

G has 2^23 - 1 proper subsets = 8388607

x=3 , 8

remember the square of a binomyal

Step 1

given

we need to isolate x, so

a) rise each side to power 2

Step 2

solve the quadratic equation:

b) use the quadratic formula

so

i)let

ii) now, replace in the formula

therefore, the solutions are x= 3 and x= 8

so, the answer is

x=3 , 8

I hope this helps you

The angles with sides HA and HE are ∠AHE and ∠EHA.

There are some angles given from which we need to find those with sides HE and HA.

The angles given are :

A. ∠AHE B. ∠AGE C. ∠EHA D. ∠EGA E. ∠AHB

For this first we need to understand the naming of angles.

An angle is either named by a single alphabet, mostly when the angle is not divided, or it is named using three letters from which we can clearly understand the sides of the angles.

For example, ∠XYZ has sides XY and YZ with the angle at the point Y.

So we will try to find the sides of each angles given in options.

A. ∠AHE has sides HA and HE with angle at the point H.

B.  ∠AGE has sides AG and GE with angle at the point G.

C. ∠EHA has sides HE and HA with angle at the point H.

D. ∠EGA has sides EG and GA with angle at the point G.

E. ∠AHB has sides HA and HB with angle at the point H.

Hence the angles for which HA and HE are sides are ∠AHE and ∠EHA.

The question is incomplete. Find the complete question below:

Select all the angles for which HA and HE are the sides.

A. ∠AHE B. ∠AGE C. ∠EHA D. ∠EGA E. ∠AHB

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Step-by-step explanation:

multiply by 1000

1kg = 1000g

-TheUnknownScientist

Answer:

Divide by 1000.

Step-by-step explanation:

It's true there are 1000 g in 1 kg.  That means you have 1 kg for every 1000 g.

Example:  2000 g = 2 kg.  (Divide 2000 by 1000.)

Example:  4715 g = 4.745 kg (Divide a decimal by 1000 by shifting the decimal point 3 places to the left.)

Answer: 1/9= 5/45 or 2/15= 6/45

Step-by-step explanation:

1/9 *5/5 = 5/45

1*5 =5 (numerator)

9*5=45 (denominator)

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

2/15 *3/3 = 6/45

2*3= 6 (numerator)

15*3= 45 (denominator)

Answer:

B

Step-by-step explanation:

Austin was suppose to combine -3-9 = -3 + (-9) = -12

Answer:

i do, if uu need help hmu

Step-by-step explanation:

Answer:

the answer is 20

Step-by-step explanation:

5×12 = 60

which means he had 60 points feom hitting the target

60-20=40

therefor he lost 40 points miing the target

40÷2=20

therefor he missed the target 20 times

According to the given information, the probability that a student from any major is using the Library collection is 0.578.

Transition chart:

Probability of using the library for History/Social sciences students = 0.9

Probability of using the library for Science students = 0.7

Probability of using the library for Engineering students = 0.6

Probability of using the library for Business students = 0.5

Probability of being in History/Social sciences = 0.3

Probability of being in Science = 0.25

Probability of being in Engineering = 0.15

Probability of being in Business = 0.3(b)

The transition matrix is given as:  [0.9 0.7 0.6 0.5] × [0.3 0.25 0.15 0.3]

= [0.73 0.59 0.47 0.47]

Therefore, the transition matrix is as shown:

(c) Probability that a student from any major is using the Library collection:

P(L) = 0.73 × 0.3 + 0.59 × 0.25 + 0.47 × 0.15 + 0.47 × 0.3

= 0.219 + 0.1475 + 0.0705 + 0.141

= 0.578

Therefore, the probability that a student from any major is using the Library collection is 0.578.

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Answer:

see the images and explanation

Step-by-step explanation:

for the graph:

the domain 0 < x < 5

the range for each functions:

g(x) = 2x + 1

g(x) = y  ,   1 < y < 11

h(x) = 2x + 2 ,  2 < y < 12

Step-by-step explanation:

1.

true

false

false

true

2.

yes

no

yes

no

yes

3.

A

4.

7,5 $

The control limits for the mean chart are UCLR = 8.70 mm and LCLR = 8.50 mm, and the control limits for the range chart are UCLR = 0.868 mm and LCLR = 0 mm.

To calculate the control limits for the mean and range charts, we need to use the table of factors for calculating three-sigma limits.

Given information:

Central line for x-chart (sample mean) = 8.60 mm

Central line for R-chart (mean range) = 0.38 mm

Sample size (n) = 6

Upper specification limit = 8.60 + 0.35 mm

Lower specification limit = 8.60 - 0.35 mm

Control limits for the x-chart (sample mean):

From the table, the factor for n = 6 is A2 = 0.729.

R-bar (average range) = 0.38 mm.

From the table, the factor for n = 6 is D4 = 2.282.

R-bar (average range) = 0.38 mm.

Control limit (UCLR) for the R-chart:

UCLR = D4 * R-bar = 2.282 * 0.38 = 0.868 mm.

Control limit (LCLR) for the R-chart:

LCLR = 0 (since ranges cannot be negative).

Therefore, the control limits for the mean chart are UCLR = 8.70 mm and LCLR = 8.50 mm, and the control limits for the range chart are UCLR = 0.868 mm and LCLR = 0 mm.

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Answer:

Step-by-step explanation:

Amber coaches both sports for 7 hours each day

v = volleyball hours

s = soccerball hours

7 hours in total, in which soccerball is 1 hour more than volleyball:

v + s = 7

s = v + 1

plug in v + 1 for s

v + s = 7

v + (v + 1) = 7

simplify

v + v + 1 = 7

2v + 1 = 7

2v + 1 (-1) = 7 (-1)

2v = 6

2v/2 = 6/2

v = 6/2

v = 3

Plug in 3 for v for one of the equations.

s = v + 1

s = (3) + 1

s = 4

Amber coaches 3 hours for volleyball, and 4 hours for soccer, making a total of 7 hours becuase 4+3 equals 7

hope this help :DDDDD

Answer: 74%

sorry but i cant tell you my way their would be copyright claims

The next correct step of the following elimination method is (C) subtract to eliminate 'x'

So, the next correct step of the elimination method:

Then, option (A) and option (D) is incorrect.

Thus, the correct option will be an option (C).

Therefore, the next correct step of the following elimination method is (C) subtract to eliminate 'x'

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Answer:

1,2,3,4,6,9,12,18,36

Step-by-step explanation:

The factors of 36 are 1,2,3,4,6,9,12,18,36

AB= 7cm

BC=3cm

AC= x

Perimeter of triangle = AB + BC + AC

18 cm = 7cm + 3cm + X

18cm = 10cm + X

X = 18cm - 10cm

X = 8cm.

The pythagorean theorem states that in a right triangle a2 + b2 = c2, where c is the length of the hypotenuse (the longest side opposite to the right angle) and a and b are the lengths of the other two sides.

AC^2 = AB^2 + BC^2

8^2 =7^2 + 3^2

64 = 49 + 9

64 = 58

Since the equation is not true, we can deduce that ABC is NOT a right triangle.

\(Answer: \large\boxed{Cos(\theta_{1} )=\frac{84}{85}}\)

Step-by-step explanation:

Thinking about a triangle in Quadrant IV, we can imagine sin as opposite/hypotenuse. Therefore, the hypotenuse is 85 and the opposite angle is -13. To find the adjacent angle, we use the pythagorean theorum,

\(a^2+b^2=c^2\)

\(-13^2+b^2=85^2\)

\(169+b^2=7225\)

\(b^2=7056\)

\(b=\sqrt{7056}\)

\(b=\pm84\)

Taking only the positive number, the adjacent angle is 84

Now that we have all 3 sides, we can find the cosine.

Cosine is adjacent/hypotenuse

Therefore,

\(Cos(\theta_{1} )=\frac{84}{85}\)

See the attached picture:

(b) Yes, the experiment has a control group.

(c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.

a) Treatments: Four different concentrations of fungus mixtures (0 ml/L, 1.25 ml/L, 2.5 ml/L, and 3.75 ml/L).

Experimental units: 20 individual containers with a group of insects.

Response variable: Number of insects that are still alive in each container one week after spraying.

(b) A control group is used to compare the results of the treatment group to a group that is not exposed to the treatment.

In this experiment, the control group can be the group of insects that are not exposed to any of the fungus mixtures.

c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.

This way, each treatment has the same number of units and the assignment of treatments to units is random, which reduces the risk of bias in the experiment.

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Answer:

ANSWER

y = 3x + 6.50

EXPLANATION

The $3 for each downloaded movie is the unit rate of change.

This is represent the slope of the linear function that models this situation.

The monthly fee of monthly fee of $6.50 the constant rate.

It represents the y-intercept of the function.

The linear function is given by

y = mx + by=mx+b

The correct choice is y = 3x + 6.50

Answer:

A. Y= 3x6.50

Step-by-step explanation: This is the correct answer, because you can use the process of elimination on answers B and C due to how they are set up. And D is incorrect, because there is no decimal in 650 which is not the correct number in the problem. Therefore, A. Y= $3 for each downloaded movie multiplied by the monthly fee of $6.50 is the correct answer. Hope this helps ^-^.

The three numbers are: 23, 25, 27, The boy is 140 cm tall, the father is 140 + 30 = 170 cm, and the sister is 70 cm tall.

In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions.

The terms 3x + 5 and 14 are separated by the word "equal" in the equation 3x + 5 = 14. The three main formats for linear equations are the slope-intercept form, standard form, and point-slope form.

Two expressions are combined with an equal sign to form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. It is possible to solve this equation, and the answer reveals that the value of the variable x is 7.

Let the the first number is : x

So, the other two numbers are :x+2, x+4

a) x+(x+2)+(x+4)=75

3x+6=75

3x=69

X=23

The three numbers are: 23, 25, 27

b)The sister's height is denoted as x. Two times, since the boy is twice as tall. His height is 2x + 30 because the father is 30 centimeters taller than the boy. The total height is 3.8 meters, or 380 centimeters. You can now create an equation.

x + 2x + 2x + 30 = 380

assemble similar terms

5x = 350

x = 70

The boy is 140 cm tall,

the father is 140 + 30 = 170 cm,

and the sister is 70 cm tall.

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i) The dispersion relation for the given equation is ± (v / 6) * k.

ii) The group velocity for the given equation is ± v / 6.

iii) The phase velocity is ± v / 6.

To find the dispersion relation, as well as the group and phase velocities for the given equation, let's start by rewriting the equation in a standard form:

82y(x, t) - 8\(t^2\) + 84y(x,t) = -2 * 8\(x^4\)

Simplifying the equation further:

8(2y(x, t) - \(t^2\) + 4y(x,t)) = -16\(x^4\)

Dividing both sides by 8:

2y(x, t) - \(t^2\) + 4y(x,t) = -2\(x^4\)

Rearranging the terms:

6y(x, t) = \(t^2\) - 2\(x^4\)

Now, we can identify the coefficients of the equation:

Coefficient of y(x, t): 6

Coefficient of \(t^2\): 1

Coefficient of \(x^4\): -2

(i) Dispersion Relation:

The dispersion relation relates the angular frequency (ω) to the wave number (k). To determine the dispersion relation, we need to find ω as a function of k.

The equation given is in the form:

6y(x, t) = \(t^2\) - 2\(x^4\)

Comparing this with the general wave equation:

A * y(x, t) = B * \(t^2\) - C * \(x^4\)

We can see that A = 6, B = 1, and C = 2.

Using the relation between angular frequency and wave number for a linear wave equation:

\(w^2\) = \(v^2\) * \(k^2\)

where ω is the angular frequency, v is the phase velocity, and k is the wave number.

In our case, since there is no coefficient multiplying the y(x, t) term, we can set A = 1.

\(w^2\) = (\(v^2\) / \(A^2\)) * \(k^2\)

Substituting the values, we get:

\(w^2\) = (\(v^2\) / 36) * \(k^2\)

Therefore, the dispersion relation for the given equation is:

ω = ± (v / 6) * k

(ii) Group Velocity:

The group velocity (\(v_g\)) represents the velocity at which the overall shape or envelope of the wave propagates. It can be determined by differentiating the dispersion relation with respect to k:

\(v_g\) = dω / dk

Differentiating ω = ± (v / 6) * k with respect to k, we get:

\(v_g\) = ± v / 6

So, the group velocity for the given equation is:

\(v_g\) = ± v / 6

(iii) Phase Velocity:

The phase velocity (\(v_p\)) represents the velocity at which the individual wave crests or troughs propagate. It can be calculated by dividing the angular frequency by the wave number:

\(v_p\) = ω / k

For our equation, substituting the dispersion relation ω = ± (v / 6) * k, we have:

\(v_p\) = (± (v / 6) * k) / k

\(v_p\) = ± v / 6

Therefore, the phase velocity for the given equation is:

\(v_p\) = ± v / 6

To summarize:

(i) The dispersion relation is ω = ± (v / 6) * k.

(ii) The group velocity is \(v_g\) = ± v / 6.

(iii) The phase velocity is \(v_p\) = ± v / 6.

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Answer: the population density is approximately 121.75 people/km^2.

Step-by-step explanation: Assuming a scenario whereby the island in question is entirely populated and encompasses a total expanse of 100 square kilometers, it follows that the resulting population density would be as follows:

The formula for population density can be expressed as the ratio of total population to a given geographic area. Mathematically, it is written as Population density = Population / Area.

The metric for measuring population density yields a value of 121.75 individuals per hectare.

The metric expressing the number of individuals residing in a given geographic area is referred to as population density. In this specific instance, the population density is calculated to be 121.75 persons per square kilometer.

Assuming a complete occupancy of the island and a cumulative surface area of 100 square kilometers, it can be posited that...

One of the most common choices is the logarithmic scale, which is a representation of the positive numbers on a line, such that the distance of two points is the unit length, if the ratio of the represented numbers has a fixed value, typically 10.

Using the formular for the area of a square, the actual side length of the bulletin board is 12.25 inches

Area of a square = s²

Hence, we have ;

150 = s²

s = √150

s = 12.247

Hence, a rational number within 1/8 inches of the actual side length would be 12.25 inches.

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Answer:

There needs to be a (.) or an (;)

Step-by-step explanation: