A box of greeting cards was shared equally among a group of 35 pupils. 7 of them gave all their cards to the rest of the pupils. As a result, the Rest of the pupils received 2 more cards each. How many cards were There in the box at first?

Answer:

59 ° F

Step-by-step explanation:

F = 9/5 C + 32

 = 9/5 (15) + 32 = 59 °  F

Answer:

The first option.

Step-by-step explanation:

\( \huge\mathbb\orange{ANSWER} \)

\( \mathsf\green{y = 6}\)

\( \mathsf \purple{{y}^{2} - 9y + 2}\)

\( \mathsf \pink{ {6}^{2} - 9(6) + 2}\)

\( \mathsf \purple{36 - 54 + 2}\)

\( \mathsf \pink{ - 16}\)

\( \mathbb\green{Hope\:It\:Helps} \)

Answer:

Que?

Step-by-step explanation:

I don't speak Español

There are 16 bit strings of length eight that contain either three consecutive 0s or four consecutive 1s.

To count the number of bit strings of length eight that contain either three consecutive 0s or four consecutive 1s, we can use the principle of inclusion-exclusion.

Step 1: Count the total number of bit strings of length eight.

Each bit in the string can have two possible values (0 or 1), so the total number of bit strings of length eight is 2^8 = 256.

Step 2: Count the number of bit strings with three consecutive 0s.

We can treat the three consecutive 0s as a single block and consider the remaining five bits. The block of three 0s can start from the first position to the sixth position, so we have 6 choices for its starting position. The remaining five bits can have two possible values (0 or 1), so there are 2^5 = 32 choices for the remaining bits. Therefore, the number of bit strings with three consecutive 0s is 6 * 32 = 192.

Step 3: Count the number of bit strings with four consecutive 1s.

Similar to Step 2, we treat the four consecutive 1s as a single block and consider the remaining four bits. The block of four 1s can start from the first position to the fifth position, so we have 5 choices for its starting position. The remaining four bits can have two possible values (0 or 1), so there are 2^4 = 16 choices for the remaining bits. Therefore, the number of bit strings with four consecutive 1s is 5 * 16 = 80.

Step 4: Subtract the overlaps.

In Step 2 and Step 3, we have counted some bit strings twice. Specifically, there are bit strings that contain both three consecutive 0s and four consecutive 1s. To correct for this, we need to subtract the number of bit strings that have both patterns.

To have both patterns, we consider the starting position of the block of three 0s and the block of four 1s. The block of three 0s can start from the first position to the fourth position (leaving three positions for the block of four 1s). So, we have 4 choices for the starting position of the block of three 0s. The remaining three positions can have two possible values (0 or 1), so there are 2^3 = 8 choices for the remaining bits. Therefore, the number of bit strings with both patterns is 4 * 8 = 32.

Step 5: Calculate the final count.

To obtain the number of bit strings that contain either three consecutive 0s or four consecutive 1s, we subtract the overlaps from the total count:

Total count - Overlaps = 256 - 192 - 80 + 32 = 16.

Know more about bit strings here:

https://brainly.com/question/31168016

#SPJ11

h(x) = -7/6x - 25/6.

Given h(-1)=-2 and h(-7)=-9

For linear function h(x), we can use slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.

To find m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

h(-1) = -2 is a point on the line, so we can write it as (-1, -2).

h(-7) = -9 is another point on the line, so we can write it as (-7, -9).

Now we can find m using these points: m = (-9 - (-2)) / (-7 - (-1)) = (-9 + 2) / (-7 + 1) = -7/6

Now we can find b using one of the points and m. Let's use (-1, -2):

y = mx + b-2 = (-7/6)(-1) + b-2 = 7/6 + b

b = -25/6

Therefore, the linear function h(x) is:h(x) = -7/6x - 25/6

We can check our answer by plugging in the two given points:

h(-1) = (-7/6)(-1) - 25/6 = -2h(-7) = (-7/6)(-7) - 25/6 = -9

The answer is h(x) = -7/6x - 25/6.

Know more about linear function  here,

https://brainly.com/question/29205018

#SPJ11

Answer: The answer is C.

Step-by-step explanation: Simple form would be to divide the $87,000 into 4, 25% is 1/4 of the pie chart, so the problem would be $87,000 divided by 4 = $21,750 on food.

Answer:

Step-by-step explanation:

Answer:

6x+3

Step-by-step explanation:

If you like my answer than please mark me brainliest

There were 90 runners to start a race.

If 1/3 dropped out, that means only 2/3 of them are left, so we have:

     Number remaining after the first round of dropout = \(\frac{2}{3} *90 = \frac{180}{3} =60\)

If 2/3 dropped out in the second half, only 1/3 of them are left, so we have

    Number remaining after the second round of dropout = \(\frac{1}{3} *60 = 20\)

Thus there are 20 runners remaining at the end.

The answer to the given expression (-7) + b = (-11) is -4

(-7) + b = (-11) = -4

-7 + b = - 11

b = -11 + 7

b = -4

Learn more about evaluating expression:

https://brainly.com/question/4344214

Answer:

y = 2.5 , x = 4

Step-by-step explanation:

5x - 4y = 10 ____eq1

x + 2y = 9 ____eq2

5x=10+4y

x = (10 +4y)/5 ____eq3

x = 9 -2y ____eq4

Using eq3 and eq 4 to solve simultaneously,

9 - 2y = (10 +4y)/5

45 -10y = 10 +4y

14y = 25

y =2.5

if y =2.5,

x = 9 -2y = 9 - 2(2.5) =4

The function 8x f(x) = x² + 3 is a polynomial function, which means it is continuous on the entire real number line, that is, it has no holes, jumps, or vertical asymptotes in its graph

Polynomial functions, in general, are continuous on the entire real number line. The definition of a continuous function is one that can be drawn without lifting your pencil from the paper. The polynomial function is a function of x of the form: f(x) = a₀ + a₁x + a₂x² + … + anxn, where a₀, a₁, a₂, …, an are real numbers and n is a non-negative integer. The polynomial function can be written in factored form as: f(x) = a (x – r₁) (x – r₂) … (x – rn), where r₁, r₂, …, rn are the roots or zeros of the function and a is the leading coefficient. In this case, the function f(x) = x² + 3 is a polynomial function of degree 2.

Since all polynomial functions are continuous on the entire real number line, the given function is also continuous on the entire real number line. Thus, we can conclude that the function f(x) = x² + 3 is continuous on the entire real number line.\

To know more about Polynomial function visit-

https://brainly.com/question/11298461

#SPJ11

Answer:

3.18%

2 between 89   91

Step-by-step explanation:

*Probability-Between 3.18%

Z1=0.04 Z2=0.12

x-1 89

x-2 (not required) 91

µ 88

σ 25

Answer:

B) Variable Expense

Step-by-step explanation:

Because

Answer:

1) 4/29

2) 3/29

3) 16/29

4) 23/29

5) 22/29

The inequality solved for y is:

y ≥ 21/25

To solve an inequality for one variable, we need to isolate that variable.

Here we have:

(8/7)y -1 ≥ (3/7)y - 2/5

Move the terms with y to the left side and the others to the right side.

(8/7)y - (3/7)y ≥ -2/5 + 1

(5/7)y ≥ (3/5)

Now multiply both sides by 7/5, we will get:

y  ≥ (3/5)*(7/5)

y ≥ 21/25

That is the solution simplfied.

Learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Answer:

y = 5x - 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = 5 , then

y = 5x + c ← is the partial equation

To find c substitute (3, 4) into the partial equation

4 = 15 + c ⇒ c = 4 - 15 = - 11

y = 5x - 11 ← equation of line

Option a, adjacency matrix. An adjacency matrix is a two-dimensional array that represents a graph's edges, where the rows and columns correspond to the vertices of the graph. If there is an edge between two vertices, the corresponding element in the matrix is set to 1, otherwise it is set to 0. This implementation is useful for dense graphs, where the number of edges is close to the maximum possible number of edges.

An adjacency matrix is a simple and efficient way to represent graphs that have a large number of vertices and edges. It allows for fast lookups of the existence of an edge and is useful for various algorithms that require graph representation. However, it is not suitable for sparse graphs, where the number of edges is much smaller than the maximum possible number of edges. In such cases, an adjacency list would be more appropriate.

The common implementation of a graph that uses a two-dimensional array to represent the graph's edges is called an adjacency matrix.

To know more about array representation,visit:

https://brainly.in/question/5489688

#SPJ11

Answer:

$10.26

Step-by-step explanation:

....................

Answer:

712.5

Step-by-step explanation:

Answer: 63 < N ≤ 66

Step-by-step explanation:

We have the set:

(66, 64, 65, 66]

First.

When we have an end with the signs "(" or ")" means that the element near the sign does not belong to the set, this would be an "open" end. Usually used for the symbols > and <

While the sign "[" or "]" (in some cases the symbols { and } are used instead)

means that the value next to it are included in the set. Usually used for the symbols ≤ and ≥.

Then in the set: (63, 64, 65, 66} the value 63 does not actually belong, and value 66 does belong.

Then this set is written as:

63 < N ≤ 66

Such that N is an integer number.

Answer:

Its the first one

Step-by-step explanation:

Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

Answer:

the possible outcomes contain the same number of heads and tails are 70.

tell me if i am right

For each coin flip, there are 2 possible outcomes (heads or tails), so for 8 flips, there are \(2^8\) = 256 possible outcomes.

When flipping a coin, there are two possible outcomes: heads or tails. So, for one flip, there are two possibilities. For two flips, there are two possibilities for the first flip and two possibilities for the second flip, making a total of 2x2=4 possible outcomes.

For three flips, there are two possibilities for the first flip, two for the second flip, and two for the third flip, making a total of 2x2x2=8 possible outcomes.

Similarly, for four flips, there are 2x2x2x2=16 possible outcomes, and for five flips, there are 2x2x2x2x2=32 possible outcomes.

Continuing this pattern, for eight flips, there are 2x2x2x2x2x2x2x2 = 256 possible outcomes.

This can also be calculated using the formula for combinations, which is \(n! / (r!(n-r)!)\) where n is the number of total flips (in this case, 8) and r is the number of heads that we want to get.

For example, to find the number of outcomes where we get exactly 3 heads and 5 tails, we would use the formula:

\(8! / (3!5!) = 56\)

So, there are 56 possible outcomes where we get exactly 3 heads and 5 tails.

In summary, for each coin flip, there are 2 possible outcomes (heads or tails), so for 8 flips, there are \(2^8 = 256\) possible outcomes.

To know more about formula for combinations refer here:

https://brainly.com/question/13095958

#SPJ11

The procedure the researcher will use is called stratification sampling.

A stratified sample is created by separating a population into similar subpopulations (strata) and taking a representative sample from each. Stratified sampling is used by researchers to ensure that specific subgroups are represented in their samples. Additionally, it helps them estimate the characteristics of each group precisely. This method is used in many surveys in order to better understand the differences between subpopulations. The term stratified sampling is also used to refer to stratified random sampling.

To Learn more about stratified sampling:

https://brainly.com/question/14675869

#SPJ4

Answer:

the 24th day they'll be there

Step-by-step explanation:

4 8 12 16 20 24

6 12 18 24

The standards that use 2.4 GHz are:

A wifi standard defines two characteristics of the wi-fi network, which are speed and frequency.

Such that there are two common frequencies, 2.4 GHz (usually with larger speed) and 5 GHz (usually with lower speed)

The standards that use 2.4 GHz are:

If you want to learn more about wifi:

https://brainly.com/question/6947486

#SPJ11

The command that will delete a directory and all of the files contained within it is c option that is "rm -rf olddir".

The command "rm" is used to remove files or directories in Unix/Linux systems. However, if we want to delete a directory and all of its contents, we need to use the "-r" (recursive) flag to ensure that all subdirectories and their files are also deleted. Additionally, we need to use the "-f" (force) flag to override any prompts that may appear during the deletion process.

Therefore, the correct command to delete a directory and all of the files contained within it is "rm -rf olddir". It is important to exercise caution when using this command as it will permanently delete the directory and all of its contents without any chance of recovery. It is also important to ensure that the correct directory name is used to avoid accidentally deleting the wrong directory.

To learn more about directory here:

brainly.com/question/30272812#

#SPJ11

I think ur question is erorr.

hope it hepls u a lot

The degrees of freedom for the predicted portion of the Y-score variance in linear regression is equal to the number of predictors minus 1. In this case, since there is only one predictor (X), the degrees of freedom for the predicted portion is 1.

In linear regression, the predicted portion of the Y-score variance refers to the variation in the dependent variable (Y) that is accounted for by the regression model. It represents the part of the Y-score variance that can be predicted using the predictor variable(s) (X).

The degrees of freedom for the predicted portion of the Y-score variance is determined by the number of predictors in the regression model. In this case, there is only one predictor (X).

Degrees of freedom can be understood as the number of independent pieces of information available for estimation. In linear regression, the degrees of freedom for the predicted portion is equal to the number of predictors minus 1. This is because one degree of freedom is "used up" in estimating the regression line.

For example, in simple linear regression with one predictor (X), we are estimating the slope and intercept of the regression line. The estimation of the slope uses 1 degree of freedom, and the estimation of the intercept uses another degree of freedom. Therefore, the degrees of freedom for the predicted portion is 1.

To know more about linear regression,

https://brainly.com/question/18457027

#SPJ11