a class of 15 students had a spelling test condsisteting of ten words. the number of spelling mistakes made by each student is listed in the data below.
1, 2 ,1 ,0 ,3 ,1 ,2 ,3 ,1 ,2 ,0 ,4 ,2 ,3, x
A: If there are 2 modes, what are the possible values of x?
B: If there is exactly one mode, write a possible value for x, and the mode.

Answer:

Step-by-step explanation:

for the first division blank you would get 11/2 or 5 1/2 flip the second fraction and multiply

for the second one it would be 5/2 or 2 1/2

For the third one it would be 3. like i said flip the second fraction and multiply in order to divide correctly

Answer:

2 1/2 for oatmeal

3 for salad

Step-by-step explanation:

Answer:

y = 0.325X + 7.5 ;

21.5 ;

R^2 = 0.7655 ;

r = 0.8749

Step-by-step explanation:

No. of loans originated ____ sheets of p/paper

45 ______________22

25 ______________ 13

50 _____________ 24

60 _____________ 25

40 _____________ 21

25 _____________ 16

35 _____________ 18

40 _____________ 25

Using the linear regression calculator : the linear model obtained is:

y = 0.325X + 7.5

y = predicted variable = sheets of photocopy paper

X = number of loans originated

0.325 = slope

Intercept = 7.5

B.)

X = 42

y = 0.325(42) + 7.5

y = 21.15

C.)

The Coefficient of determination as determined using the correlation coefficient calculator is :

R^2 = 0.7655 ; this means that about 76.55% of change in number of photocopy performed is explained by the number of loans originated.

D.) The correlation Coefficient (r) :

r = sqrt(R²)

r = sqrt(0.7655)

r = 0.8749

This shows that a strong positive correlation exists between the number of loans originated and the volume of photocopying done.

We know that

• The number of years starts in 1920, this is the initial condition.

• The population of a town was 2900 people.

• In 1928 the population was 2700.

First, we have to transform the given information into math expression. From the given data we deduct two points (0, 2900) and (8, 2700). The first point refers to the population at the beginning of the study (1920), the second point refers to the population in 1928 (eight years after the beginning of the study.

To find the function, we have to find the slope first. The slope formula is

Where the coordinates are

Then, we use the values above to find the slope.

At this point, we know the slope and the y-intercept. So, we can express the formula for P in slope-intercept form.

Where m = -25 and b = 2900 (remember that the y-intercept is the initial condition of the problem).

In this case, x is t.

Answer:

B

Step-by-step explanation:

x + 3y = 2 → (1)

4x - 3y = 23 → (2)

adding (1) and (2) term by term will eliminate y

(x + 4x) + (3y - 3y) = 2 +  23

5x + 0 = 25

5x = 25 ( divide both sides by 5 )

x = 5

The equation is  x + y=z. X represents the number of hours for tutoring, and Y represents the total cost for the tutoring session. The equation does not represent direct variation, as the hourly rate is a fixed rate, not a variable rate.

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Answer:

560 ft^2

Step-by-step explanation:

You need to find the surface area of the walls

wall 1 10*4 = 140

wall 2 10*4 = 140

wall 3 10*4 = 140

wall 4 10*4 = 140

140 +140 +140 +140= 560

Answer:

160/196

Step-by-step explanation:

it would be easier if you converted all fractions to improper fractions

so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5

\(\frac{14}{5} - \frac{2}{3}\) : to solve this you would need the same common denomenator,

to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15

thus

multiplying first fraction by 3 and the second by 5

42/15 - 10/15 = 32/15

now 32/15 divided by 14/5

the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:

\(\frac{32}{14}\) multiplied by \(\frac{5}{14}\)

thus, answer is 160/196

Answer:

c

Step-by-step explanation:

Answer:

r < 0

Step-by-step explanation:

-negative(P) was farther to the zero than Positive q, so lets say P= -10 and Q=5

P+Q=R

-10+5= -5 or r<0     r less than  0

For the given line segment r < 0. the correct option is C.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that in a line segment p<  0, and q > 0 and p+q=r

-negative(P) was farther to the zero than Positive q, so let's say P= -10 and Q=5

P+Q=R

-10+5= -5 or r<0     r less than  0

Therefore, for the given line segment r < 0. the correct option is C.

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The ballroom dance couple can arrange their performance in 28 different ways by selecting 6 routines out of the 8 they have learned.

The idea of combinations can be used.

The number of ways to select k items from a set of n items is given by the formula for combinations:

C(n, k) = n! / (k! * (n - k)!)

In this case, n = 8 (the total number of routines they have learned) and k = 6 (the number of routines they will perform).

Using the formula, we can calculate:

C(8, 6) = 8! / (6! * (8 - 6)!)

= 8! / (6! * 2!)

The factorial function is represented in this case by the exclamation symbol (!).

The sum of all positive integers from 1 to n is the factorial of the number n.

Calculating the factorials involved:

8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320

6! = 6 * 5 * 4 * 3 * 2 * 1 = 720

2! = 2 * 1 = 2

Plugging in these values:

C(8, 6) = 40,320 / (720 * 2)

= 40,320 / 1,440

= 28

Therefore, the ballroom dance couple can arrange their performance in 28 different ways by selecting 6 routines out of the 8 they have learned.

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Answer:

Explanation:

Given the expression:

First, group the expression into two as follows:

In the first two terms, factor out 4x.

In the last two terms, factor out 1.

Thus, the factored form of the expression is:

Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).

In order to find the missing expression in Step 1, let's analyze the given steps and the final expression.

Step 1: ?

Step 2: -9 + 2 + 3

Step 3: -7 + 3

To find the missing expression in Step 1, we need to work backwards from Step 3 to Step 1.

In Step 3, the expression "-7 + 3" gives us a result of -4.

In Step 2, the expression "-9 + 2 + 3" gives us a result of -4.

So, the missing expression in Step 1 should also evaluate to -4 when performed correctly.

Let's check the available options:

[-10 + -1 + 2] + (2 + 3) = -11 + 2 + 5 = -4

[-8 - 1] + (2 + 3) = -9 + 5 = -4

[-10 + 1] + (2 + 3) = -9 + 5 = -4

[8 + 1] + (2 + 3) = 9 + 5 = 14

Out of the given options, only option 2, [-8 - 1] + (2 + 3), correctly evaluates to -4. Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).

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Answer:

Step-by-step explanation:

The researcher can anticipate that 2.28 per cent of the children in their study will consume less sugar than 40 grammes every day.

According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.

To find the percentage of children in the study who had a decrease in their sugar intake to below 40 grams per day, we need to determine the proportion of children whose sugar intake is below 40g.

We can use the standard normal distribution and the z-score formula to find this proportion:

z = (40 - 50) / 5 = -2

Using a standard normal distribution table, we can find that the proportion of children with a sugar intake below 40g is approximately 0.0228 or 2.28%.

Therefore, the researcher can expect that approximately 2.28% of children in their study will have a sugar intake below 40 grams per day with the new behavioural method.

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The mean is 14.7, the median is 16, and the mode is 16.

To find the mean, we need to calculate the sum of all the data values and divide it by the total number of observations.

The sum of the data values is:

14 x 14 + 15 x 11 + 16 x 23 + 17 x 10 + 18 x 13 = 196 + 165 + 368 + 170 + 234 = 1043

The number of observations is:

14 + 11 + 23 + 10 + 13 = 71

The mean is calculated as follows,

1043 / 71 = 14.7 (rounded to one decimal place)

The median is the central value in the data collection. To find the median, we need to arrange the data values in ascending order and find the middle value. In this case, we have an odd number of observations, so the median is simply the middle value.

14, 14, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 18, 18, 18

The median is 16.

The mode is the value that appears most repeatedly in the data set. In this case, the mode is 16 since it occurs the most (23 times).

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Answer:

Approximately 2.5% of the data is greater than 34.

Step-by-step explanation:

To solve this problem, we need to use the empirical rule (also known as the 68-95-99.7 rule) for a normal distribution. This rule states that about 68% of values lie within 1 standard deviation of the mean, about 95% of the values lie within 2 standard deviations of the mean, and about 99.7% of the values lie within 3 standard deviations of the mean.

The mean of the dataset is 27, and the standard deviation is 3.5.

34 is exactly 2 standard deviations away from the mean (since 27 + 2*3.5 = 34). According to the empirical rule, about 95% of the data falls within this range. This means that about 5% of the data is outside of this range.

Since the normal distribution is symmetrical, the data outside of 2 standard deviations is equally split between values that are too large and too small. Hence, about half of this 5%, or 2.5%, is greater than 34.

Therefore, approximately 2.5% of the data is greater than 34.

13.9

about 14 squares units

Answer:

- | -5 |

Step-by-step explanation:

- | -5 | is basically saying minus -5

and -5 minus the negative is a positive

And when it asks for the greatest value, positive numbers are always greater.

:)

Step-by-step explanation:

Out of the given options, only √196 is a rational number.

A rational number is a number that can be expressed as the ratio of two integers. In other words, it can be written in the form of p/q where p and q are integers and q is not equal to zero.

√56 cannot be simplified further and has no integer factors that can be canceled out to express it as a ratio of two integers. Therefore, it is an irrational number.

Similarly, √63 and √240 cannot be simplified further and do not have any integer factors that can be canceled out to express them as a ratio of two integers. Therefore, they are also irrational numbers.

On the other hand, √196 simplifies to 14 which is a ratio of two integers (14/1). Hence, it is a rational number.

In summary, only √196 is a rational number out of the given options.

Answer:

-4

Step-by-step explanation:

Answer:

the answer is -4. it's the same as dividing by a positive, except the number will be negative now :)

Answer:

No it is not an exponential function

Answer:

yes you are correct

Step-by-step explanation:

6 times 6 times 6 times 7 times 7 times 7 is 74088

Answer:

(x+y)/xy or  (1/x + 1/y) portion of the leaves

Step-by-step explanation:

Let the total work done to rake the leaves be a for representation.

Thus,

given Maya takes x minutes to rake the leaves

thus,

work done by may in x minutes = a

dividing both side by x

work done by maya in x/x = 1 minutes = a/x

similarly

given Calra takes y minutes to rake the leaves

thus,

work done by may in y minutes = a

dividing both side by y

work done by maya in y/y = 1 minutes = a/y

__________________________________

Total work done by both in 1 minutes = a/x + a/y = a(1/x+1/y) = a(x+y)/xy

Thus, if a is the total work , then they do (x+y)/xy of a work in one minute.

Thus, (x+y)/xy portion of leaves do they rake in one minute if they work together.

Answer:

 =6mx^4−7x^4

Step-by-step explanation:

(6m−7)(x^4)

=(6m+−7)(x^4)

=(6m)(x^4)+(−7)(x^4)

\(\huge\text{Hey there!}\)

\(\mathsf{(6m - 7)\times4}\)

\(\mathsf{= (6m - 7)(4)}\)

\(\mathsf{= (6m - 7) 4}\)

\(\mathsf{= 4(6m - 7)}\)

\(\mathsf{= 4(6m) - 4(-7)}\)

\(\mathsf{= 6m(4) + (-7)(4)}\)

\(\mathsf{= 6m(4) - 7(4)}\)

\(\mathsf{= 6m - 28}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{24m - 28}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

1/2

Step-by-step explanation:

Answer:

x = 1/2

Step-by-step explanation:

4/7 x = 2/7

Multiply both sides by the reciprocal of 4/7 which is 7/4.

7/4 * 4/7 x = 2/7 * 7/4

x = 1/2

Answer:

9^5

Step-by-step explanation:

9 x 9 x 9 x 9 x 9 can be written as an exponent form 9⁵.

To rewrite 9 x 9 x 9 x 9 x 9 using an exponent, we can represent the repeated multiplication with the base 9 raised to the power of 5. Here's how:

9 x 9 x 9 x 9 x 9 = 9⁵

In this expression, the base is 9, and the exponent is 5. The base represents the number being multiplied repeatedly, and the exponent represents the number of times it is multiplied.

Using the exponent notation, we can simplify and express the result more concisely. The exponent 5 indicates that the base 9 is multiplied by itself five times.

Therefore, 9 x 9 x 9 x 9 x 9 can be written as 9⁵.

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