check the image below

Answer:

15

Step-by-step explanation:

140x(3/4)=105 went to sport club

105x(1/7)=15 went to sport club and art club

By using percentage, it can be calculated that

Percentage decrease in the screen time for Lora  = 40 %

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example 9% means \(\frac{9}{100}\). Here 9 is expressed as a fraction of 100

Here, Percentage decrease will be calculated

Screen time for Lora last week = 840 minutes

Screen time for Lora this week = 504 minutes

Decrease in screen time for Lora = (840 - 504) minutes

                                                        = 336 minutes

Percentage decrease in the screen time for Lora = \(\frac{336}{840}\times 100\) = 40 %

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The difference on the number line of the expression −2.3−(−0.4) is - 1.9

Number lines are lines that are used to mark integers based on the required interval between the integers

Given the expression

−2.3−(−0.4)

First, let us find the difference

= −2.3−(−0.4)

= −2.3 + 0.4

= -1.9

Hence the difference of the number is -1.9

Representing the result on a number line is attached below

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Answer:

-1.9 on the number line!

Step-by-step explanation:

k12

Answer:

7.07

Step-by-step explanation:

If you substitute in 0 for x:

2(0)^2 + 5sqrt(2)

You'd end up with 5 root 2, which is 7.07

If the motion of a point on the drum of a clothes dryer is modeled by the function y=12 sin (4/3π t) +20, the dryer rotates 40 times per minute.

The function y = 12 sin (4/3π t) + 20 models the vertical motion of a point on the drum of a clothes dryer. The amplitude of the function is 12, which represents the maximum displacement of the point from its rest position. The vertical shift of the function is 20, which represents the height of the point from the ground when the drum is at rest.

To determine the number of times the dryer rotates per minute, we need to find the period of the function, which is the time it takes for the function to complete one full cycle. The period of a sinusoidal function is given by the formula:

T = (2π) / b

where b is the coefficient of the t variable in the sine or cosine function.

In this case, b = (4/3)π, so the period of the function is:

T = (2π) / (4/3π) = 3/2 seconds

This means that the point on the drum completes one full cycle of vertical motion every 3/2 seconds. To convert this to rotations per minute, we need to find the number of cycles per minute:

cycles per minute = (60 seconds per minute) / (3/2 seconds per cycle) = 40 cycles per minute

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Answer:

The answer is D

Step-by-step explanation:

Orio and Ted buy an equal number of comic books every month. Orio has 9 more comic books than Ted.

What are a definition and an example of a linear equation?

The following equation shows the number of comic books, y, that Orio has after x months:

y = 2x + 15

Using the equation y=mx+b to find Orio's number of comic books, we can plug 2 months to substitute for the variable x.

y = 2(2) + 15

y = 4+15,

y = 19.

We know Ted has 10 comics after 2 months from the graph.

19-10= 9

Therefore, Orio has 9 more comic books than Ted.

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The complete question is -

Orio and Ted buy an equal number of comic books every month. The following equation shows the number of comic books, y, that Orio has after x months: y = 2x + 15 The following graph shows the number of comic books, y, that Ted has after x months: Graph shows Months on x axis and Number of Comic Books on y axis. The scale on x axis is shown from 0 to 5 at increments of 1. The scale on y axis is shown from 0 to 14 at increments of 2. The title of the graph is Teds Comic Books. A straight line is shown which joins the ordered pair 0, 6 and 4, 14 After 2 months, how many more comic books does Orio have than Ted?

Answer:

The answer i believe is y=-10/3 - 4x/3

Step-by-step explanation:

Answer:

7$

Step-by-step explanation:

1) 3x10=30 so 30 is how much money he needs

2)30-23=7 so 7 is how much he needs to borrow

Answer:

$7

Step-by-step explanation:

The reason is because three medium pepperoni pizzas cost $30, because you have to multiply $10x3 since each pizza cost $10. He already has $23 dollars in his pocket. You have to subtract his total value which is $23 from $30 to get $7.

can you write the question correctly

Answer:

Finish the question and ill be glad to help!

Step-by-step explanation:

The lexicographic preferences on apricots and bananas are transitive. They cannot be represented by a continuous utility function u(a, b).

1. To prove that the lexicographic preferences on apricots and bananas are transitive, let's assume the following:
(x1, y1)≻(x2, y2) (x2, y2)≻(x3, y3)

That implies the following:
1. x1 > x2 or (x1 = x2 and y1 > y2)
2. x2 > x3 or (x2 = x3 and y2 > y3)

Therefore, we have two cases:

Case 1: x1 > x2 > x3

If this is true, then we have

(x1, y1) > (x3, y3),

and the lexicographic preferences are transitive.

Case 2: x1 = x2 > x3

If this is true, then

y1 > y2, and x2 = x3,

which means

y2 > y3.

Therefore, (x1, y1) > (x3, y3), and the lexicographic preferences are transitive.

2. Now we need to prove that the lexicographic preferences on apricots and bananas cannot be represented by a continuous utility function u(a,b).

Suppose that there exists a continuous utility function u(a,b) that represents the lexicographic preferences on apricots and bananas.

Therefore, (a1, b1) ≻ (a2, b2) if and only if u(a1, b1) > u(a2, b2).

Let's consider two cases:

Case 1: a1 > a2.

Since

u(a1, b1) > u(a2, b2),

we have:

u(a1, b1) - u(a2, b2) > 0,

which means that

Δu = u(a1, b1) - u(a2, b2) > 0

Case 2: a1 = a2 and b1 > b2.

Since

u(a1, b1) > u(a2, b2),

we have:

u(a1, b1) - u(a2, b2) > 0,

which means that

Δu = u(a1, b1) - u(a2, b2) > 0

Therefore, we have Δu > 0 in both cases, which contradicts the fact that the lexicographic preferences on apricots and bananas are non-continuous.

Hence, they cannot be represented by a continuous utility function u(a,b).

In conclusion, the lexicographic preferences on apricots and bananas are transitive but cannot be represented by a continuous utility function.

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Answer:

one solution with a y value of 5

Step-by-step explanation:

/| x+y-4 = 0| x-y-6 = 0

We try to solve the equation: x+y-4 = 0

x+y-4 = 0 // - x-4

y = -(x-4)

y = 4-x

We insert the solution into one of the initial equations of our system of equations

We get a system of equations:

/| x+x-6-4 = 0| y = 4-x

2*x-10 = 0 // + 10

2*x = 10 // : 2

x = 10/2

x = 5

We insert the solution into one of the initial equations of our system of equations

For y = 4-x:  

y = 4-5

y = -1

We get a system of equations:

/| y = -1| x = 5

Answer:

D.

\( {4}^{x + 7} \)

Step-by-step explanation:

since it is an exponential graph shifted 7units to the left would be

\( {4}^{x + 7} \)

Answer:

The direct answer is 745

Step-by-step explanation:

773 minus 28

✨745✨

p(E) = 15C15 * 20C20 / 35C35 = 1/2^35

p(F) = 1/2^35

p(E∩F) = 15C15 * 1C1 * 4C3 / 35C19 = 4/2^35

p(EF) = p(E∩F) = 4/2^35

c = p(EF) / (p(E) * p(F)) = (4/2^35) / [(1/2^35) * (1/2^35)] = 4

Consider the events E and F when randomly generating a bit string of length 35. Event E represents the occurrence of 15 ones and 20 zeros in the bit string, while event F specifies that the second bit is zero, the 10th bit is one, and the 15th bit is one.

To calculate the probability of event E (p(E)), we divide the number of favorable outcomes for E (choosing 15 ones and 20 zeros) by the total number of possible outcomes (2^35). Similarly, the probability of event F (p(F)) is determined by dividing the number of favorable outcomes for F (1) by the total number of possible outcomes (2^35).

The probability of the intersection of events E and F (p(E∩F)) is calculated using the concept of combinations, considering the specific positions of the ones in event F within the bit string. In this case, p(E∩F) is 4/2^35. As events E and F are independent, the probability of the joint event EF (p(EF)) is the same as p(E∩F), which is also 4/2^35. Finally, the value of c is determined by dividing p(EF) by the product of p(E) and p(F). Thus, c is equal to 4.

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p(E) = 1.935471109e-06, p(F) = 0.041666667, p(EnF) = 0.0, (EF) = 0.0,c = p(E ∩ F) = 0/2 = 0.

In a uniformly random bit string of length 35, event E represents the occurrence of 15 ones and 20 zeros. To calculate the probability of event E, we need to determine the total number of possible bit strings and the number of bit strings that satisfy event E. Since each bit can have two possibilities (0 or 1), the total number of possible bit strings is 2^35.

To calculate the number of bit strings that have 15 ones and 20 zeros, we use the binomial coefficient formula. The formula for the binomial coefficient is C(n, k) = n! / (k!(n-k)!), where n represents the total number of elements and k represents the number of elements to be chosen. In this case, we have n = 35 and k = 15. So, the number of bit strings that satisfy event E is C(35, 15) = 3,991,997.

The probability of event E, p(E), is then calculated as the ratio of the number of bit strings that satisfy event E to the total number of possible bit strings: p(E) = 3,991,997 / 2^35 = 1.935471109e-06.

Event F represents specific bit positions in the bit string: the second bit being zero, the 10th bit being one, and the 15th bit being one. Since each bit position is independent, the probability of each individual bit position being either 0 or 1 is 1/2. Therefore, the probability of event F, p(F), is the product of the individual probabilities: p(F) = (1/2) * (1/2) * (1/2) = 1/8 = 0.125.

The probability of the intersection of events E and F, denoted as p(EnF), is the probability that both events E and F occur simultaneously. In this case, event E requires 15 ones and 20 zeros, while event F specifies certain bit positions. Since these two conditions cannot be simultaneously satisfied, the probability of their intersection is 0.

Lastly, (EF) represents the joint probability of events E and F occurring in sequence. Since these events cannot occur simultaneously, the probability of their joint occurrence is also 0.

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Answer:

Step-by-step explanation:

7 students from the Junior class.

6 students from the Senior class.

4 new members are to be chosen.

Required: Find the number of ways 4 new members can be chosen if 2 or fewer must be from the senior class. So, Therefore, the correct answer is 560 ways.

Answer:

At 10:05 a.m., there are 2 microscopic bacteria cells in the bottle. How many cells will be in the bottle at 10:15 a.m.?

Step-by-step explanation:

Answer:

$52.50

Step-by-step explanation:

What you do is you move the decimal two times to the left from 75%.

0.75*?=?

Take the orginal price and multiply ($30) by 0.75.

0.75*30= $22.50

Take 22.50 and add that to your original amount.

$22.50+$30= $52.50 or $52.5

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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Answer:

10+b

Step-by-step explanation:

b-10=however old he was 10 years ago

10b = 10 times his current age

10-b doesn't really have anything to do with his age

10+b= 10 years plus however old he is.

Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

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Answer:

-5

Step-by-step explanation:

-5--20

=-5+20

=20-5

=15

This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.

The stratified sampling can be defined as the sampling from the population which is partitioned or divided into many parts.

Here, the lady has divided her day into three parts morning, afternoon and evening.

This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.

This is a type of stratified sampling.

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The virtual address space in this system can have 2^20 virtual pages, with each page having a size of 256 MB. The total virtual address space is 256 GB.

The virtual address space of 248 bytes can be represented as:

2^48 bytes

Each virtual page number is 20 bits long, which gives a total of 2^20 virtual pages.

The size of each page can be calculated by finding the number of bits used to represent the offset. Since the right 28 bits of the virtual address are used for the offset, the page size is 2^28 bytes.

Converting to a more appropriate unit, we have:

Page size = 2^28 bytes = 256 MB

Therefore, the virtual address space has:

Number of virtual pages = 2^20

Page size = 256 MB

To calculate the total size of the virtual address space, we can multiply the number of virtual pages by the page size:

Total virtual address space = Number of virtual pages x Page size

= 2^20 x 256 MB

= 262,144 MB

= 256 GB

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The given question is incomplete, the complete question is:

A certain computer provides its users with a virtual address space of 2^48 bytes. The computer has 2^34 bytes of physical memory. The virtual memory is implemented by paging with virtual addresses formatted as follows: the left 20 bits are used for the Virtual Page Number and the right 28 bits are used for the OFFSET. How many virtual pages can a virtual address space in this system have? How large is each page? Express your answer in KB, MB, or GB, whichever is most appropriate.

Answer:

10cm, 5cm, 7cm.

Step-by-step explanation:

So basically what I did was I pretended the line was a ruler that was in centemeters, and all the lines were centimeters, so then I added it up to get my answer, as you can see in the picture

Answer:

you are the 35th caller.

Step-by-step explanation:

Multiples of 5: 5,10,15,20,25,30,35,40,45,50

Multiples of 7: 7,14,21,28,35,42,49,56,63,70

Since the question specified "first caller" , the answer is basically from the lowest common Multiple (the lowest number that appear in both multiples) , and in this case, only 35 is the lowest common multiple.

a. P(Blue) = 4 / (6+4+8) = 4/18 = 2/9

b. P (White or Black) = P(White) + P(Black)= 6/18 + 8/18 = 14/18 = 7/9

c. P(Red) = 0 (No red socks are present in the drawer)

d. P (not white) = P(Blue) + P(Black) = 4/18 + 8/18 = 12/18 = 2/3

e. There are two possible scenarios to get at least 2 socks of the same color. Either we can have 2 socks of the same color or 3 socks of the same color or 4 socks of the same color. The probability of getting at least 2 socks of the same color is the sum of the probabilities of these three cases.

P(getting 2 socks of the same color) = (C(3, 1) × C(6, 2) × C(12, 2)) / C(18, 4) = 0.4809

P(getting 3 socks of the same color) = (C(3, 1) × C(6, 3) × C(8, 1)) / C(18, 4) = 0.0447

P(getting 4 socks of the same color) = (C(3, 1) × C(6, 4)) / C(18, 4) = 0.0015

P(getting at least 2 socks of the same color) = 0.4809 + 0.0447 + 0.0015 = 0.5271So, the required probability is 0.5271.

There are six white socks, four blue socks, and eight black socks in a drawer. One sock is picked out of the drawer, and there is an equal chance that any sock will be selected. The following events' likelihood must be determined:

a) The probability that the sock is blue is found by dividing the number of blue socks by the total number of socks in the drawer.

b) The probability that the sock is white or black is obtained by adding the probability of drawing a white sock and the  probability of drawing a black sock.

c) Since no red socks are present in the drawer, the probability of drawing a red sock is 0.

d) The probability of not choosing a white sock is obtained by adding the probability of selecting a blue sock and the    probability of selecting a black sock.

e) To have at least two socks of the same color, we may either have two, three, or four socks of the same color. We  find the probabilities of each case and add them up to get the probability of at least two socks of the same color.

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Answer:

ok

Step-by-step explanation: