In Part A, you calculated how to share 1/4 piece of gum among 5 people. Now, use this information to help you calculate how much gum each person would get if Dario shares all 4 1\4 pieces of gum (the whole foot of gum).

a) From the box plot of Dwayne's data, the measure of center = 9 and the measure of spread = 5

b)  From the box plot of Mitchell's data,  the measure of center = 10 and the measure of spread = 2

c)  From the box plot of Terry's data,  the measure of center = 10 and the measure of spread = 2

We know that in the box plot the measures of spread include the interquartile range and the mean of the data set.

Whereas, the measures of center include the mean or average and median.

For the Dwayne's box plot the interquartile range is 11 - 6 = 5

And the median is 9

So, the measure of center = 9 and the measure of spread = 5

For the Mitchell's box plot the interquartile range is 11 - 9 = 2

And the median is 10

So, the measure of center = 10 and the measure of spread = 2

For the Terry's box plot the interquartile range is  11 - 9 = 2

And the median is 10

So, the measure of center = 10 and the measure of spread = 2

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Step-by-step explanation:

correct answer 2) y> 3x+2

The measure of arc TSV in the image is

The length of the arc subtended by a semicircle is 180 degrees

Since SRV is a diameter hence the angle it subtends is that of semicircle and equals 180 degrees

Arc length TSV = Arc length ST + Arc length SRV

Arc length TSV = 180 degrees + 84 degrees

Arc length TSV = 264 degrees

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Answer:

-13

Step-by-step explanation:

Simplify the following:

6^2 - 3×3^2×2 + 5

3^2 = 9:

6^2 - 3×9×2 + 5

9×2 = 18:

6^2 - 318 + 5

6^2 = 36:

36 - 3×18 + 5

-3×18 = -54:

36 + -54 + 5

| 1 |  

| 3 | 6

+ | | 5

| 4 | 1:

41 - 54

41 - 54 = -(54 - 41):

-(54 - 41)

| 5 | 4

- | 4 | 1

| 1 | 3:

Answer:  -13

Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%

The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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Answer:

a

Step-by-step explanation:

The simplified form of the expression (2 1/6 ) × (1 1/3) is 26/9.

Given the expression in the question;

(2 1/6 ) × (1 1/3)

To simplify, first convert from mixed to improper fraction.

(2 1/6 ) × (1 1/3)

( (2×6 + 1)/6 ) × (1 1/3)

( (12 + 1)/6 ) × (1 1/3)

( 13/6 ) × (1 1/3)

( 13/6 ) × (1×3 + 1/3)

( 13/6 ) × (3 + 1/3)

( 13/6 ) × (4/3)

Now, cancel the common factor 2.

13/6 × 4/3

13/3 × 2/3

( 13 × 2 ) / ( 3 × 3 )

( 26 ) / ( 9 )

26/9

Therefore, the simplified form is 26/9.

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The distance between the points G and H is D = 8 units

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be G ( 0 , 8 )

Let the second point be H ( 8 , 8 )

Now , let the distance between G and H be D , where

D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

D = √ ( 0 - 8 )² + ( 8 - 8 )²

D = √64 units

D = 8 units

Hence , the distance is 8 units

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The income of the man is 24000.

Step-by-step explanation:

income of man =24000

Let the income of man be x

According to the question,

20%*x = 4800

0.2x=4800

As a result, x =24000

(4800*10= 48000/2= 24000)

So the income of a man is 24000.

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Man's income is, 24000 rupees.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given, 20% of an income of a man is Rs 4,800.

To find the income:

Use percentage formula,

let m be the man's income.

So, m x 20 / 100 = 4800

Rearranging,

m = 4800 x 100 / 20

m = 24000

Therefore, the income is, 24000 Rs.

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Answer:

Step-by-step explanation:

Answer:

Each person contributed 42 dollars.

Step-by-step explanation:

divide 5544 by 132

Answer:

y = 5

solve:

\(\sf 40 = 8y\)

\(\sf 8y = 40\)

\(\sf y = \dfrac{40}{8}\)

\(\sf y = 5\)

check:

\(\sf 8(5) = 40\)

\(\sf 40 = 40\)

note: changing sides, changes sign multiplication to division and vice versa.

Answer:

The answer is 5!

Step-by-step explanation:

To do this, we have to solve the equation.

8 × y = 40 [ 8 multiplied with a no. gives 40]

To know the value of the variable 'y' we have to divide 40 by 8 by transporting 8 to the Right hand side of the equation.

y = 40 ÷ 8

  = 5

Answer:

36%

Step-by-step explanation:

14+9+2=25

and the questions wants to know how many were wearing shorts

soooooooooooooo

divide 9 by 25 and that is 0.36 which would be 36% out the 25 wearing shorts

The statement that is NOT true about brake drum inside diameter measurements with a brake drum micrometer is B.

If the drum diameter is less than specified, replace the drum. In fact, if the drum diameter is less than the minimum specified limit, the drum can be machined to a larger diameter to restore its proper dimension. This will depend on the manufacturer's recommendations, and the minimum thickness limits of the drum should also be checked to ensure it is within safe tolerances.

                          The other statements are true: A. The drum should be cleaned before measuring the diameter, to avoid errors due to dirt or rust. C. The diameter should be measured at two locations around the drum, usually at the top and bottom of the friction surface, to check for taper or out-of-roundness. D. The drum diameter variation should not exceed 0.035 in (0.009 mm), to ensure proper brake function and minimize vibration or noise.

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The vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).

Given that, triangle LMIN with vertices L(2, -8), M(12, 8) and N(14,-4).

Here, scale factor k=1/2

Now, by applying scale factor to the vertices, we get

L(2, -8)→1/2 (2, -8)→L'(1, -4)

M(12, 8)→1/2 (12, 8)→M'(6, 4)

N(14,-4)→1/2 (14, -4)→N'(7, -2)

Therefore, the vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).

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"Your question is incomplete, probably the complete question/missing part is:"

Triangle LMIN with vertices L(2, -8), M(12, 8), and N(14,-4): k = ½.

The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

A. P(0) = 740 / (1 + 73e^-0) = 740 / (1 + 73) = 740 / 74 = 10, so the answer is 10.

B. The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

C. To find the number of trout in the lake after 1 year, we need to find P(12): P(12) = 740 / (1 + 73e^-0.07*12) = 740 / (1 + 73e^-0.84) ≈ 490, so the answer is 490.

D. To find the number of trout in the lake after 10 years, we need to find P(120): P(120) = 740 / (1 + 73e^-0.07*120) = 740 / (1 + 73e^-8.4) ≈ 740, so the answer is 740.

E. lim t→∞ P(t) = 740, so the answer is 740.

F. The answer from part E tells us that as the number of months t approaches infinity, the trout population will approach 740. This means that the trout population will eventually stabilize at 740 if no other factors such as predators, disease, or lack of food affect the population.

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Answer:

d there is no such as 5+y cannot be less than 5-y

sana makatulong :-) :-)

As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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The correct option is B: The result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.

Once kids have a firm grasp on right fractions, they are exposed to mixed numbers and improper fractions.

Divide the numerator and denominator to create a mixed fractions from an incorrect fraction. The solution to this problem is the whole number portion; the leftover portion is the numerator; its denominator stays the same.

We can convert the two fractions to decimal form in order to compare them.

7.375 is equivalent to 7 3/8, and

4/5 is equivalent to 0.8.

7.375 multiplied by 0.8 results in:

7.375 × 0.8 = 5.9

Since the result is 5.9, which is less than 7.375, it follows that 7 3/8 multiplied by 4/5 is less than 7 3/8.

Thus, the result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.

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Answer:

48%

Step-by-step explanation:

$1200 divided by %25 = 48%

Answer:

Value of the test statistic for this problem = -3.74

Step-by-step explanation:

Here

the sample size n = 1263

and the x = 565

So, the p' -value = 565/1263 = 0.4473

As per the test statistics formula, z value will be evaluated

z = (0.4473-p)/sqrt {p(1-p)/n}

Let us say that p = 0.5

Substituting the given value in above equation, we get -

z = (0.4473-0.5)/sqrt {0.5(1-0.5)/1263}

z = -3.74

The test statistic of the question is; z = -3.74

We are given;

Sample size; n = 1263

Number of people that said yes; x = 565

Sample proportion is; p'= 565/1263 = 0.4473

Formula for the test statistic of proportion is;

z = (p' - p)/(√(p(1 - p)/n)

We will assume that population proportion p = 0.5. Thus;

z = (0.4473 - 0.5)/(√(0.5(1 - 0.5)/1263)

z = -3.74

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Answer:

The capital B refers to the base of the area

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The capital B means the area of the base

The percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

The total number of water bottles the company manufactured in February, March, and April.

In February, the company manufactured 4,100 water bottles. In March, the company manufactured 7% more water bottles than in February, which is 7/100 * 4,100 = 287 water bottles.

Therefore, the total number of water bottles the company manufactured in March is 4,100 + 287 = 4,387 water bottles. In April, the company manufactured 500 more water bottles than in March, which is 4,387 + 500 = 4,887 water bottles.

This is calculated as (4,887 - 4,100) / 4,100 = 0.195 or 19.5%.

Therefore, the percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

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There are several different graphical summaries that can be made for the MPG data.

Here are three examples:

1. Box plot: A box plot is a visual summary of the distribution of a dataset, which shows the median, quartiles, and range of the data. In the case of MPG data, we could make a box plot to show the distribution of fuel efficiency across different types of vehicles (such as cars, trucks, and SUVs).

This would allow us to see if there are any differences in fuel efficiency between these different types of vehicles.

2. Scatter plot: A scatter plot is a way to visualize the relationship between two variables. For MPG data, we could make a scatter plot that shows the relationship between engine size (in liters) and fuel efficiency (in miles per gallon). This would allow us to see if there is a correlation between these two variables, and whether larger engines tend to be less fuel-efficient.

3. Bar graph: A bar graph is a way to compare different values across different categories. For MPG data, we could make a bar graph that shows the average fuel efficiency for different brands of vehicles (such as Ford, Toyota, and Honda). This would allow us to see which brands tend to have the highest and lowest fuel efficiency, and how they compare to each other.

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