200-8.(2x+7)=112
(2x-123):3=33

Answer:

C.

Step-by-step explanation:

because x value cannot be repeated in an ordered pair

Answer:

a) The P-value is 0.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

b) Effect size d = 0.77

Medium.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the online platform was accessed significantly more so than before the stay at home order.

Then, the null and alternative hypothesis are:

\(H_0: \mu=1000\\\\H_a:\mu> 1000\)

The significance level is 0.05.

The sample has a size n=108000.

The sample mean is M=1378.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=489.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{489}{\sqrt{108000}}=1.488

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1378-1000}{1.488}=\dfrac{378}{1.488}=254.036

The degrees of freedom for this sample size are:

\(df=n-1=108000-1=107999\)

This test is a right-tailed test, with 107999 degrees of freedom and t=254.036, so the P-value for this test is calculated as (using a t-table):

\(\text{P-value}=P(t>254.036)=0\)

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

The effect size can be estimated with the Cohen's d.

This can be calculated as:

\(d=\dfrac{M-\mu}{\sigma}=\dfrac{1378-1000}{489}=\dfrac{378}{489}=0.77\)

The values of Cohen's d between 0.2 and 0.8 are considered "Medium", so in this case, the effect size d=0.77 is medium.

Answer:your first step is to take the scale and find out how it applies to the information

Step-by-step explanation:

You have to look at your information first and then you use your graphing scale to find out the domain

2 pounds 6 ounces in ounces is equivalent to 38 ounces.

The given measurement is -

2 pounds 6 ounces

In 1 pound, there are 16 ounces.

So, we can write that -

2 pounds 6 ounces = 2 x 16 + 6

2 pounds 6 ounces = 38 ounces

So, 2 pounds 6 ounces in ounces is equivalent to 38 ounces.

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Answer:

16

Step-by-step explanation:

1) Plug x=1 into equation

f(x) = -2(1)²+4(1)+6

f(x) = -2²+4+6

f(x) = 4+4+6

y = 14

(1,14)

2) Plug in x=2 into equation

f(x) = -2(2)²+4(2)+6

f(x) = -4²+8+6

f(x) = 16+8+6

y = 30

(2,30)

3) Use slope formula (\(\frac{y2-y1}{x2-x1}\))

\(\frac{30-14}{2-1}\)

\(\frac{16}{1}\)

16

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

Perimeter = 29 cm

Step-by-step explanation:

The perimeter is the sum of all sides of the geometric figure:

perimeter = 6 + 7 + 9.5 + 6.5

perimeter = 29 cm

Answer :

The answer is A.

Answer:

A) 140

Step-by-step explanation:

since angle RA is 40

and angle one seems the same so

<1+<2=140

40+<2=180

-40 -40

<2=140

Answer:

C. 19/18

Step-by-step explanation:

\( \frac{1}{9} + \frac{2}{3} + \frac{5}{18 } = \frac{2}{18} + \frac{12}{18} + \frac{5}{18} = \frac{19}{18} \)

So the answer is C. 19/18

Equivalent expressions are expressions that have equal values

The number on the line is 110

The expressions are given as:

Represent the blank with x.

So, we have:

Expression 2: x + 200r

When both expressions are equivalent, we have:

\(x + 200r = 200r - (-110)\)

Open the bracket

\(x + 200r = 200r + 110\)

Subtract 200r from both sides

\(x = 110\)

Hence, the number on the line is 110

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The probability of randomly choosing a green marble after you have chosen red is 4.4%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Given

A jar has 20 marbles: 3 green, 12 blue, 5 red.

Probability;

In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore,

The probability of randomly choosing a green marble after you have chosen red is;

= 5/20 * 3/19

= 3/68

percentage = 3/68 * 100 = 4.4%

Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%

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'D'

本题已由中国数学会官方解答（现有会员：3人）  

D.

\(16 - (6.25 + 2 \times 2.25)\)

Answer:

The cost of dinner alone was $37.145

Step-by-step explanation:

15%=0.15----Convert your percentage into a decimal

43.70*0.15=6.555----Multiply the cost of dinner with the decimal

$43.70-$6.555=$37.145----Subtract the last number(6.555) from the total(43.70) to get the cost of dinner alone of $37.145 -This is making you subtract the percentage from the total!

I hope this helped!

The number of square meters that the space that Araceli rents is, is 30. 66 square meters.

The space that Araceli rents has a rectangular space so to find the area of the rectangular space that Araceli rents, we need to multiply the length by the width.

The given width is 4. 2 meters and the length is 7. 3 meters.

The area of the space in square meters is therefore :

Area = Length × Width

Area = 7. 3 meters × 4. 2 meters

Area = 30. 66 square meters

In conclusion, the space that Araceli rents has an area of 30. 66 square meters.

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The correct option is third graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We have the function

f(x)= |x|

The third graph represent the f(x)= |x|.

This is because the absolute value equations grow at a constant rate.

Also, they are absolute so they are also positive.

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

5 months

Step-by-step explanation:

because 1,1,1,1,1 = 5 4,4=8      5/8

Answer:

I got the answer 0.388888... by divided 7 by 18. (1) I added a zero to 7. (2)I times 3 to 18 to make 54 and subtracted my dividend by this. (3)The answer was 160 which I subtracted by 18x8 which equals 144. The answer of the was 160 and I could go on and on repeating step 3.

Step-by-step explanation:

I got the answer 0.388888... by divided 7 by 18. (1) I added a zero to 7. (2)I times 3 to 18 to make 54 and subtracted my dividend by this. (3)The answer was 160 which I subtracted by 18x8 which equals 144. The answer of the was 160 and I could go on and on repeating step 3.

Answer:

None

Step-by-step explanation:

Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.

Answer:

One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.

Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.

One way to construct a confidence interval for a proportion is to use the formula:

p ± z * sqrt(p * (1 - p) / n)

where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:

0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)

which simplifies to:

0.6 ± 0.22

or:

(0.38, 0.82)

This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.

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The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.

To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.

Step 1: Apply De Morgan's laws

NOT (R AND NOT P) can be simplified as (NOT R) OR P.

Step 2: Distributive property

F5 = (P AND Q) OR ((NOT R) OR P)

Step 3: Apply associative property

F5 = (P AND Q) OR (P OR (NOT R))

Step 4: Apply absorption law

F5 = P OR (P OR (NOT R))

Step 5: Apply idempotent law

F5 = P OR (NOT R)

By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.

Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.

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The question probable may be:

Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:

F5 = (P AND Q) OR (R AND NOT P)

Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?

Answer:

Step-by-step explanation:

B because after having the star and the circle comes the square.

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Years of experience (X) :

1

3

3

5

7

8

10

10

12

12

Annual sales (Y) :

85

97

95

97

105

106

122

120

113

134

The estimated regression equation obtained is :

y = b0 + b1x

b0 = 82.82967

b1 = 3.46061

ŷ = 3.46061X + 82.82967

The change in annual sales for every year of experience is given by the slope value, b1 = 3.46061 = 3.5 (1 decimal place)

The Coefficient of determination R² = 0.8477 = 0.848 ( 3 decimal place).

The Coefficient of determination gives the proportion of explained variance.

About 84.8% percent variation in annual sales can be explained by years of experience of the sales person.

Using the regression equation :

ŷ = 3.46061X + 82.82967

Years of experience, x = 8

ŷ = 3.46061(8) + 82.82967 = 110.514

111 = (to the nearest whole number)

Answer:

7

Step-by-step explanation:

\(f(x)=7\) is just a horizontal line, so y will always be 7 no matter what x is

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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Answer:

a

The number of linearly independent vectors needed to span M2,4. N =8

b

The dimension of    \(M_{2,4}\) is 8

Step-by-step explanation:

 From the question we are told that  

        The  vector space is an \(M_{2,4}\) matrix

Now the number of linear linearly independent vectors needed to span M2,4.

is  evaluated as

      \(N = 2 * 4 = 8\)

this is due to the fact that each entry of the matrix is independent

Given that there are eight  independent  in the vector space the dimension of

  \(M_{2,4}\) is 8

a The number of linearly independent vectors needed to span M2,4. N =8

b The dimension of M2, 4 is 8.

Since there is vector space i.e. M2, 4

So, here n be = 2(4) = 8

Also, each entry of the matrix should be considered independent. Therefore, the dimension should also be 8.

Hence,

a The number of linearly independent vectors needed to span M2,4. N =8

b The dimension of M2, 4 is 8.

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The distribution as described in the task content and required to be identified is; a geometric distribution.

By definition and features; a geometric distribution is characterized as follows;

As evident in the given task content; the two possible outcomes are defective and non-defective and the each testing is independent.

Finally, since the probability is same for each trial as described by the approximately 1% defect rate.

Ultimately, the distribution is geometric.

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In this case the population standard deviation is unknown. We only have the sample standard deviation s. Then,

the confidence interval formula for estimating the population mean is

where Tc is the critical T-value, which depends on the confidence level. For the 95% confidence level and n=26, the T value is

Then, by substituting this value and the given ones into the confidence interval, we have

which gives

By rounding to 3 decimal places, the answer is

Answer: D. 3

Step-by-step explanation:

1.341

1          .        3                  4                  1

one's       tenths        hundreds      thousands