Use multiplication to write 2 + 2 + 2 +
2+2.

The equation of the line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5) is y = (-5/3)x + 5.

To find the equation of a line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5), we can use the slope-intercept form of a linear equation, which is y = mx + b. Given the point (3, 0) on the x-axis, we know that when x = 3, y = 0. This gives us one point on the line, and we can use it to calculate the slope (m).

Using the slope formula: m = (y2 - y1) / (x2 - x1)

Substituting the values (0 - 5) / (3 - 0) = -5 / 3

So, the slope (m) is -5/3. Now, we can substitute the slope and one of the given points (0, 5) into the slope-intercept form (y = mx + b) to find the y-intercept (b).

Using the point (0, 5):

5 = (-5/3) * 0 + b

5 = b

The y-intercept (b) is 5. Therefore, the equation of the line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5) is:

y = (-5/3)x + 5

To sketch the diagram, plot the points (3, 0) and (0, 5) on the x-y plane and draw a straight line passing through these two points. This line represents the graph of the equation y = (-5/3)x + 5.

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Based on the information provided, the piano teacher can make the generalization that approximately 50% of her students plan to take time off from lessons during the summer months.

By conducting surveys on five different days (Monday to Friday) and consistently obtaining the same result (around 50% of students planning to take time off), it suggests that this proportion is relatively stable among her students. However, it's important to note that this generalization is specific to the group of students surveyed and may not necessarily represent the entire population of piano students. Other factors, such as sample size and potential biases in the sample, should also be considered when making broader generalizations.

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Answer:

6 is 300  

7 is 1,200

8 is 60

9 is 500

10 is 1,100

11 is 300

Step-by-step explanation:

In this problem, we have the graph of a function, and we must determine the domain, range and the values of the functions for different values of x.

(1) Domain

The domain of a function is the complete set of possible values of the independent variable (x, usually).

Looking at the graph, we see that the independent variable x takes all the values of the real line, from -∞ to +∞. So the domain of the function is:

(2) Range

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually) after we have substituted the domain.

Looking at the graph, we see that the dependent variable y takes all the values:

So the range of the function is:

(3) Looking at the graph, we find the following values of the function:

• (a), For x = 2 we have f(2) = 0,

• (b), For x = 1 we have f(1) = 1,

• (c), For x = 3 we have f(3) = 3,

• (d) For x = -1 we have f(-1) = 3.

Domain = (-∞, ∞)

Range = (-3, ∞)

(a) f(2) = 0

(b) f(1) = 1

(c) f(3) = 3

(d) f(-1) = 3

The correct answer is option b. 1/36 is the expected value (Lesson 8.3: Unbiased Point Estimation. If X1, of the sample variance S2.

In unbiased point estimation, the expected value of the sample variance S2 is a crucial idea. When a sample is drawn from a population repeatedly, an average value of S2 is what is anticipated.

The population variance divided by the sample size represents the expected value of S2. It is, in other words, the population variance divided by n-1, where n is the sample size.

As a result, the expected value of the sample variance S2 for a sample size of 6 is equal to 1/36.

As a result, when a sample is drawn from a population repeatedly, the average value of S2 will be equal to 1/36 of the variance in the population.

Complete Question:

What is the expected value (Lesson 8.3: Unbiased Point Estimation. If X1, of the sample variance S2?

a. 1/6

b. 1/36

c. 6

d. 36

e.60

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Answer:

9.2

Step-by-step explanation:

No, the standard deviation of a data set can never be negative. The standard deviation is a measure of the dispersion or spread of data points from the mean.

It is calculated by taking the square root of the variance, which is the average of the squared differences between each data point and the mean.

Since the variance involves squaring the differences, it ensures that all values are positive. Taking the square root of the positive variance yields a positive value, which is the standard deviation. Thus, the standard deviation is always non-negative.

Similarly, the Interquartile Range (IQR) cannot be negative. The IQR is a measure of statistical dispersion that represents the range between the first quartile (25th percentile) and the third quartile (75th percentile) of a dataset. It provides insights into the spread of the central 50% of the data.

Like the standard deviation, the IQR involves calculating the difference between specific percentiles. Since percentiles represent ordered values in a dataset, the difference between them is non-negative, ensuring that the IQR is also non-negative.

In summary, both the standard deviation and the IQR are measures of dispersion that involve calculating differences between values in a dataset, ensuring that they cannot be negative.

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15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

The value of the sample variance and the sample standard deviation for the given data is equal to 47.4 and 6.9 respectively.

Data values are,

23, 12, 5, 9,8

Number of observations 'n' = 5

Mean = ( sum of all the observations ) / ( number of observations)

         = (23 + 12 + 5 + 9 + 8) / 5

         = 57 /5

         = 11.4

Deviations of each data point from the mean,

(23 - 11.4) = 11.6

(12 - 11.4) = 0.6

(5 - 11.4) = -6.4

(9 - 11.4) = -2.4

(8 - 11.4) = -3.4

Square each deviation is equal to,

11.6² = 134.56

0.6² = 0.36

(-6.4)² = 40.96

(-2.4)² = 5.76

(-3.4)² = 11.56

Sample Variance = ( Sum of squared deviation )/ ( n - 1)

⇒Sample Variance = (134.56 + 0.36 + 40.96 + 5.76 + 11.56) / (5-1)

⇒Sample Variance = 47.35

⇒Sample Variance = 47.4(rounded to one decimal place)

Now,

Standard deviation = √variance

Substitute the value we get,

⇒ Standard Deviation = √(47.35)

⇒ Standard Deviation = 6.9 (rounded to one decimal place)

Therefore, the sample variance is 47.4 and the sample standard deviation is 6.9.

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The above question is incomplete, the complete question is:

Calculate the sample variance and the sample standard deviation for the given data. Provide your sample standard deviation answer precise to one decimal place.

23, 12, 5, 9,8

The unit price per quart is given as follows:

$4.61.

The unit price is obtained using the proportions in the context of the problem.

Each gallon has four quarts, hence the number of quarts in two gallons is given as follows:

2 x 4 = 8 quarts.

The total price was of $36.88, hence the price per quart is given as follows:

36.88/8 = $4.61.

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Answer:

270 degrees

Step-by-step explanation:

Think about it like this. A full rotation is a 360 degree rotation. Each turn is a 90 degree turn. So, go the other way and count how many turns you do. 270!

Explanation:

Line L is the horizontal line. Any point on this line has y coordinate y = 4, so the equation is simply y = 4.

You could say the equation is y = 0x+4, which shows the slope is 0. But I think y = 4 is the better answer.

Answer:

9 years

Step-by-step explanation:

Losing 15 % means 85% remains

  so multiply each year's value by .85 to find the current value

       after 'n'  years it will be  24300 * .85^n

when will it be 5600 ?

    5600 = 24300 * .85^n

     5600/24300  = .85^n  

             now you need to take the log of both sides and solve for 'n'  years

  log ( 5600/24300) / log(.85) = n = 9.031 = ~~ 9 years

Answer:

I assume that we want to simplify:

( √5*√2)^3

Remember that:

√a*√b = √(a*b)

(a^n)^m = a^(n*m)

and:

√a = (a)^(1/2)

Then we can rewrite:

( √5*√2)^3 = (√5*2)^3 = (√10)^3

                                     = (10^(1/2))^3 = 10^(3/2)

We could keep simplifying this if we know that:

10^3 = 1000

Then:

10^(3/2) = (10^3)^(1/2) = (1000)^(1/2) = √1000

We can not simplify this anymore.

Answer:

rrrrrehwhwjwmkwwuwiwiiwiwiwiw

To calculate your final grade, determine the weight of each assignment or exam, add up the total points earned, and divide by the total points possible.

To calculate your final grade, you will need to know the weighting of each assignment or exam and the grade you received for each one. The weighting is usually given as a percentage of the overall grade, for example, a midterm exam may be worth 20% of the final grade.

Once you know the weighting and the grades, you can calculate your final grade by doing the following:

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Based on the survey data, we can conclude that a higher proportion of teenagers own an iPod or MP3 player compared to young adults.

To determine if the difference is significant, we need to conduct a hypothesis test. We can begin by stating the null hypothesis as "there is no significant difference in the proportion of all teens and young adults who would say they own an iPod or MP3 player."

We can also state the alternative hypothesis as "there is a significant difference in the proportion of all teens and young adults who would say they own an iPod or MP3 player."

Next, we need to determine the test statistic and calculate the p-value to determine if the difference in the proportions is statistically significant. Assuming that the data follows a normal distribution, we can use a two-sample z-test to test our hypothesis.

Using a significance level of 0.05, we find that the test statistic is 3.07, and the p-value is 0.002. Since the p-value is less than the significance level, we can reject the null hypothesis and conclude that there is convincing evidence of a difference in the proportions of all teens and young adults who would say they own an iPod or MP3 player.

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Answer:

Two rectangles

Step-by-step explanation:

the normal gram cracker can be broken into 4 rectangles so that's what was probably done when THEY split it ( says it in the question) so they can all get two rectangles!

Happy Saint Patricks day!

( Can I get brainlyist?)

Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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This is the Commutative Property. It states that when addition takes place, the addends may switch positions with another addend.

The given expression −3+ 5 = 5 + (−3) is showing the commutative Property. The correct option is B.

The cumulative property states that if the position of the numbers when they are in addition is changed then it will not affect the final result of the addition. If altering the operands' order has no effect on the outcome, the binary operation is commutative in mathematics.

The given expression is −3+ 5 = 5 + (−3).

From the cumulative property, the expression can be solved. The two expressions will have the same value but the frame of writing the expression is different.

This is the Commutative Property. It states that when an addition takes place, the addends may switch positions with another added.

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A linear growth function has a positive constant slope, whereas an exponential growth function has a positive rising slope.

Explanation and response: Exponents are not permitted in a linear equation. Because the link between the two variables does not vary at a constant pace, the exponents in an equation generate a nonlinear graph. Linear functions have a constant rate of change per unit interval. Over equal intervals, an exponential function changes by a similar ratio.

The exponential function is another sort of nonlinear function.A nonlinear function in which the independent variable equals the function’s exponent, as in… The independent variable in these functions is an exponent in the equation. Exponential functions are shown as straight lines on semilog paper. Semi-log paper contains two axes: one arithmetic and one logarithmic. The exponential constant in the equation is given by the slope of the line (m).

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Answer:

The money he makes mowing lawn can be represented by a linear function.

The function can be represented in the slope-intercept form.

the equation of the function is y=500+10x

where

y=amount of money he has earned by mowing lawns.

x=number of lawn mowing clients he has.

Step-by-step explanation:

It can be represented by a linear function (straight line) because the additional amounts are proportional to the number of clients he has.

The equation is

y=500+10x

where

y=amount of money he has

x=number of lawn mowing client he has.

Answer:

$4.78

Step-by-step explanation:

subtract 6.10 from 30 = 24.90

then divide it by 5

ans : $4.78

The y-intercept of the line shown is (0,4).

The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

Given;

A line passes through the point -4 comma 1 and through the y-axis at 4.

Now,

y=mx+c

1=m*-4+c

Line passes through 4 at y-axis

(0,4)

Therefore, the y intercept will be (0,4).

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Answer:

x= 19

Step-by-step explanation:

6x+4+4x-14= 180

10x-10= 180

10x= 190

x= 19

The figure consists of a rectangle and 2 right triangles, as shown in the diagram below

The areas of a rectangle and a triangle are given by the following formulas

In our case,

Thus,

The total area is 150mm^2

Answer:

(a) 60.45 m2.

(b) 332.475 m^3.

Step-by-step explanation:

(a) area =  length * width

= 9750 * 6200

= 60450000 mm^2

There are 1000*1000 = 1,000,000 mm^2 in 1 m^2 so the area in m^2

= 60.45 m^2.

(b) The height in meters is 5500 / 1000 = 5.5 m

Volume = area of floor * height

= 60.45 * 5.5

= 332.475 m^3.