Ink pens and pencils are substitutes. If demand of pen falls,what happens to demand, supply, quantity

Answer:

\(t = \frac{1}{3} \)

The probability of rolling a number greater than 4 on a single 6-sided die is 2/6 or 1/3. So, the probability of both rolls being greater than 4 is (1/3) * (1/3) = 1/9.

The probability of rolling a number greater than 4 on a single 6-sided die is 2/6 or 1/3, since there are 2 numbers greater than 4 out of 6 possible outcomes.

To find the probability of rolling a number greater than 4 on two rolls, we can multiply the probability of each roll. The probability that both rolls are greater than 4 is (1/3) * (1/3) = 1/9. So the probability that both rolls are more than 4 is 1/9. The possible outcomes when rolling a single 6-sided die are 1, 2, 3, 4, 5, and 6. If we roll two dice independently, there are 36 possible outcomes, since each die can have any of the 6 outcomes on the first roll and each die can have any of the 6 outcomes on the second roll.

To find the probability that both rolls are more than 4, we need to determine how many of the 36 possible outcomes are more than 4 on both rolls. There are 3 outcomes greater than 4 (5, 6). If we roll a 5 on the first die and a 6 on the second die, the outcome would be a 5 and a 6, which are both greater than 4. There are 3 possibilities for the first die (5, 6) and 3 possibilities for the second die (5, 6), for a total of 3 x 3 = 9 possible outcomes where both rolls.

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Answer:

Step-by-step explanation:

Answer:

They made 36 three-point field goals

Step-by-step explanation:

For free throws , we have one point each.

So here, the total points they made from free throws is 22 * 1 = 22 points

So the number of points made from field goals would be 184-22 = 162 points

So the issue we have now is knowing the number of 3-point field goals that was made.

How can we get this?

Remember they made 85 baskets? so if we subtract the number of free throws, then we can have the number of field throws and that is 85-22 = 63

Now, let the number of 2 points throws be x and the number of 3 points throws be y

From our earlier analysis;

x + y = 63 ••••••••• (i)

Now the total number of three pointers would be 3 * y = 3y and the total number of two pointers would be 2 * x = 2x

Adding both gives a total of 162

Thus;

2x + 3y = 162 •••••••• (ii)

So we have two equations to solve simultaneously.

From equation 1, we can say that;

x = 63-y

Let’s substitute this into equation 2

2(63-y) + 3y = 162

126 -2y + 3y = 162

126+y = 162

y = 162-126

y = 36

This means that they made 36 three-point field goals

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Answer:

36:54:90

Step-by-step explanation:

First 180*2/10=36

second 180*3/10=54

thirds 180*5/10=90

36+54+90=180  

6. x=1 , y=2

7. x=-4 , y=5

8. Infinitely Many Solutions

Value of function h(x) = \(5-7x^{2}\) for variable \(x=-1\) is equals to -2.

" A variable is defined as the quantity whose value gets change as per the mathematical situation."

According to the question,

Given function,

\(h(x) = 5-7x^{2}\)

Substitute the value of the variable \(x=-1\) we get,

\(h(-1)= 5-7(-1)^{2}\)

         \(= 5-7\\=-2\)

Hence, Value of function h(-1) is equals to -2 for the variable \(x=-1\).

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The solution is: the function that shows the number of patients seen each week at the clinic is: f(x) = -6x + 120

Here, we have,

Let's call y the number of patients treated each week

Let's call x the week number.

If the reduction in the number of patients each week is linear then the equation that models this situation will have the following form:

y = mx+ b

Where m is the slope of the equation and b is the intercept with the x-axis.

If we know two points on the line then we can find the values of m and b.

We know that During week 5 of flu season, the clinic saw 90 patients, then we have the point:

(5, 90)

We know that In week 10 of flu season, the clinic saw 60 patients, then we have the point:

(10, 60).

Then we can find m and b using the followings formulas:

m = y2-y1/x2-x1

In this case: (x1,y1)= (5,90) and (x2,y2) = (10, 60)

Then:

m= -6

And

b = 120

Finally the function that shows the number of patients seen each week at the clinic is: f(x) = -6x + 120

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The required probability is (E∪F) = 0.361.

The total number of possible results when a pair of fair six-sided dice are tossed as:

= 6 × 6 = 36

Here sample space is:

SS = {(1,1),(1,2), (1,3).....(6,4),(6,5),(6,6)}, there are 36 pairs.

Now, E is the event in which at least one of the recorded numbers is and is the occurrence in which the total of the recorded numbers is 5.

Here, E = {(1,1), (1,2), (1,3)....(5,1), (6,1)}, there are 9 pairs.

And, F = {(1,4), (2,3), (3,2), (4,1)}

Now, (E∪F) = {(1,1), (1,2), (1,3)...(2,3), (3,2)},  there are 13 pairs.

So, n(E∪F) = 13

The required probability is:

P(E∪F) = n(E∪F)/SS

= 13/36

= 0.361

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Answer:

(-8,-71)

Step-by-step explanation:

I assume by turning point it means the vertex:

\(y=x^2+16x-7\\y+71=x^2+16x-7+71\\y+71=x^2+16x+64\\y+71=(x+8)^2\\y=(x+8)^2-71\)

Now that we converted our equation to vertex form \(y=(x+h)^2+k\), we can see our vertex, or turning point, is (h,k)=(-8,-71)

Answer:

\(40.32cm^{2}\)

Step-by-step explanation

4*1.2=4.8

7*1.2=8.4

8.4*4.8=40.32

A rectangle is a two-dimensional shape where the length and width are different.

The length and width of the larger rectangle are 4.8 cm and 8.4 cm.

The area of the larger rectangle is 40.32 cm².

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Two similar rectangles:

Smaller rectangles:

Length = 4 cm

Width = 7 cm

Larger rectangles:

Length = 4.8 cm

We need to find the width of the larger rectangle.

Since the two rectangles are similar.

4 cm = 4.8 cm

Multiply 7/4 on both sides.

7/4 x 4cm = 7/4 x 4.8 cm

7 cm = 8.4 cm

Now,

Larger rectangle:

Length = 4.8 cm

Width = 8.4 cm

Now,

The area of the larger rectangle:

Area = Length x width

Area = 4.8 x 8.4

Area = 40.32 cm²

Thus,

The area of the larger rectangle is 40.32 cm².

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Answer:

b=3.4     so it is d

Step-by-step explanation:

Subtract 2.3  from both sides of the equation

b+2.3 = 5.7

b+2.3 - 2.3 = 5.7- 2.3

and the simply

Answer:

1 and 3 are true

Step-by-step explanation:

The data were collected using random assignment since the 60 golfers were randomly assigned to treatment groups, so statement 1 is true. It was not indicated that the 60 golfers in the sample were randomly selected, so statement 2 is not true. The distribution will be approximately normal since each group size is large enough, so statement 3 is true.

The data were collected using random assignment since golfers were randomly assigned to treatment groups, so option 1 is true.

Random sampling is the method of selecting the subset from the set to make a statical inference.

An experiment was conducted to determine whether the price of a golf club affected the distance a golfer could hit a golf ball.

A sample of 60 golfers was randomly assigned to one of two groups.

Cor E The 30 golfers in the group were given a club and told the price of the club was cheap the 30 golfers in group E were given the same club told the price of the club was an expensive reality there was no difference in price.

The golfers used their assigned clubs to hit a golf ball as far as they could The distance, in yards, that each golfer hit the golf ball was recorded.

The data were collected using random assignment since golfers were randomly assigned to treatment groups, so option 1 is true.

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The total electrostatic force on the third particle will be 56 N in -x direction.

q1 = +40 μC, x1 = -20 cm = - 0.2 m

q2 = -50 μC, x2 = 30 cm = 0.3 m

q = -4 μC, x = 0

We know that, the electrostatic force between two charges

F = kQ1Q2/d²

k = 9 × 10⁹ Nm²/C²

here, d: distance between two charges

F1 = k(40×10⁻⁶)(-4× 10⁻⁶)/(0.2)²

F1 = - 36 N {(-) sign shows the force is attraction force}

so, the direction of F1 on q is -x-direction

F2 = k(-50×10⁻⁶)(-4× 10⁻⁶)/(0.3)²

F2 = 20 N {Repulsive force because both particles are having negative charge}

so, the direction of F2 on q is in the -x-direction

So Total force F = F1+F2 = 20+36 = 56 N

Therefore, the total electrostatic force on the third particle will be 56 N in the -x direction.

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The transformation that would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1) from the original vertices B(-3,0), C(2, -1), D(-1, 2) is the transformation (x,y) → (X + 1, y + 1).

By applying the transformation (x,y) → (X + 1, y + 1), each point's x-coordinate is shifted one unit to the right (X = x + 1), and each point's y-coordinate is shifted one unit upward (Y = y + 1). This results in the image with the given coordinates B"(-2, 1), C"(3, 2), D"(0, -1).

The other transformations listed do not match the given image coordinates and would not produce the desired result.

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Answer:

(x, y) → (x, −y) → (x + 1, y + 1)

Step-by-step explanation:

Reflect the vertices over the x-axis by applying the transformation (x, y) → (x, -y):

B'(-3, 0) → B'(-3, 0)

C(2, -1) → C(2, 1)

D(-1, 2) → D(-1, -2)

Translate the reflected vertices by (1, 1):

B'(-3, 0) → B″(-3 + 1, 0 + 1) → B″(-2, 1)

C(2, 1) → C″(2 + 1, 1 + 1) → C″(3, 2)

D(-1, -2) → D″(-1 + 1, -2 + 1) → D″(0, -1)

So, the correct sequence of transformations is:

(x, y) → (x, -y) → (x + 1, y + 1)

(Image provided for more proof)

The mean length of time for each missed appointment is 13.2 minutes.

It should be noted that a mean simply means average. In this case, 25.3 hours will be:

= 25.3 × 60.

= 1518 minutes.

Since 115 appointments were missed last month, the average will be:

= Total minutes / Number of appointment

= 1518 / 115

= 13.2 minutes

The mean is 13.2 minutes.

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Answer:

Im sorry but I am not really sure myself ! I hope you find or found your answer already !

Step-by-step explanation:

Answer:

girl it is 2

Step-by-step explanation:

Step-by-step explanation:

WRL-15663: The SparkFun ESP32 Thing Plus is the next step to get started with Espressif IoT ideations while still enjoying all the amenities of the original ESP32 Thing. Espressif's ESP32 WROOM is a powerful WiFi and Bluetooth MCU module that targets a wide variety of applications. At the core of this module is the ESP32-D0WDQ6 chip which is designed to be both scalable and adaptive.

The FOIL method, which stands for First, Outer, Inner, Last, is a technique commonly used to multiply binomials.

It involves multiplying the First terms, then the Outer terms, then the Inner terms, and finally the Last terms, and then combining the results. While the FOIL method works well for multiplying binomials, it is not applicable for multiplying all polynomials.

The reason the FOIL method cannot be used to multiply all polynomials is that it only applies to the specific case of multiplying two binomials with two terms each. When dealing with polynomials that have more than two terms or polynomials of higher degrees, the FOIL method does not provide a systematic approach to handle the multiplication.

For example, consider multiplying the polynomial (x + 2) with the polynomial (x^2 + 3x - 4). Applying the FOIL method, we would only multiply the First terms (x * x^2), the Outer terms (x * 3x), the Inner terms (2 * x^2), and the Last terms (2 * -4). However, this approach overlooks the multiplication between the terms of different degrees (e.g., x * 3x or 2 * x^2) and fails to account for all possible combinations.

To multiply more complex polynomials, we typically use more advanced methods such as the distributive property, grouping, or the use of matrices. These methods provide a systematic and comprehensive approach to handle polynomial multiplication in general, accommodating polynomials with any number of terms or degrees.

In summary, while the FOIL method is a helpful technique for multiplying binomials, it cannot be used for multiplying all polynomials due to its limited applicability. For more complex polynomials, alternative methods are necessary to ensure accurate and comprehensive multiplication.

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Answer:

10

Step-by-step explanation:

1000 = 10 × 10 × 10 = 10³ , then

\(\sqrt[3]{1000}\)

= \(\sqrt[3]{10^3}\)

= 10

Answer:

4

Step-by-step explanation:

The resulting PDA has the same language as the CFG G. It recognizes strings of the form a^n b^n a^m b^m, where n and m are non-negative integers, and can be used to generate such strings by tracing the transitions of the PDA while keeping track of the stack contents.

The context-free grammar G is:

R → XRX | S

S → aTb | bTa

T → XTX | X | ε

X → a | b

To convert this CFG into an equivalent PDA, we can follow the procedure given in Theorem 2.20:

1) Create a PDA with one state and an empty stack.

2) For each production in the grammar, add a corresponding transition to the PDA. For example, for the production R → XRX, add a transition from the initial state to itself that reads X from the input and pushes R onto the stack, then transitions to a new state, reads X from the input, pops R from the stack, and transitions back to the initial state. Similarly, for the production S → aTb, add a transition that reads a from the input and pushes Tb onto the stack, and so on.

3) Add an accepting state and a transition from the initial state to the accepting state that pops the start symbol R from the stack.

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The red arc or chord in the key of C, or the solution to the provided question based on the circle, is 11.

A chord is a piece of a straight line that connects two points on a circle's circumference. When it crosses the circle at two different locations, it is also occasionally referred to as a secant.

The following formula can be used to determine a chord's length:

chord length = 2*radius*sin(angle/2)

where angle is the central angle that the chord is subtended by, and radius is the radius of the circle. In geometry and trigonometry, chords are frequently used to compute circle properties including area, circumference, and arc length.

Since the circle P ≅ circle C

In circle P the radius of PN =7 and

chord LM = 11 with an angle 104°

And  In circle C  the radius =7 and Circle and chord QR are both making the same angle. P = 104°

So the circle P ≅ circle C

The red arc or chord in C is consequently 11.

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Let the alcohol solution be represented by s

let the quantity of alcohol mixture be represented by m

let the quantity of pure water required be represented by p

35% ( 245 + p) = 90% x 245

0.35 (245 + p) = 0.9 x 245

0.35(245 + p) = 220.5

Divide both sides by 0.35

=> (245 + p) = 220.5 / 0.35

=>245 + p = 630

=>p = 630 -245

=>p = 385 ml

Quantity of pure water required 385 ml

The probability that the mail arrival time is more than 20 minutes on a given day is 2/3.

It's nearly impossible to predict the outcomes of many events with a hundred percent certainty. However, we can still tell how likely the events are to happen.

Probability is how likely something is to happen. Probability can also mean a number that indicates the chance or likelihood that a particular event will occur. Probability is always between zero and one. Zero means impossible while one means certain. In most cases, the probability of something to happen is greater than zero and less than one.

Mathematically, we can express probability as P(A) = f/N where

Let P(A) represent the probability that the mail arrival time is more than 20 minutes on a given day, f represent the frequency (60 - 20), and N represent total number of possible outcomes, which is 60.

P(A) = (60 - 20)/60

P(A) = 40/60

P(A) = 4/6

P(A) = 2/3

There you have it! The probability is two-thirds.

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Symbol. LVII. A Roman numeral representing fifty-seven (57).

What are Roman numbers?

Roman numbers are the symbols used in a system of numerical memorandum grounded on the ancient Roman system. The symbols are I, V, X, L, C, D, and M, standing independently for 1, 5, 10, 50, 100, 500, and,000.

How do Roman numbers work?

In the Roman numeric system, the symbols I, V, X, L, C, D, and M stand independently for 1, 5, 10, 50, 100, 500, and,000 in the Hindu- Arabic numeric system. A symbol placed after another of equal or lesser value adds its value. A symbol placed before one of lesser value subtracts its value. A bar placed over a number multiplies its value by,000.

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Answer:

A' (9,4)

B' (8,-1)

C' (5,1)

Answered by GAUTHMATH

Answer:

A' = 9,4

B' = 8,-1

C' = 5,1

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

According to parallel lines, the angle above 40x degrees is 20x because of corresponding angles in a parallel line.

Corresponding angles in || lines are congruent to each other.

A straight line is 180 degrees

20x + 40x = 180

Combine like terms

60x = 180

Divide by 60 on both sides to isolate x

x = 3

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Have a nice day!

Answer:27/41+3/41i

Step-by-step explanation:

Just finished this problem

Answer:

guy above correct via A P E X

Step-by-step explanation: