Which of the following can be used to measure the length of an object

Answer:

10

Step-by-step explanation:

The store wants to make a 20% profit:

Multiply the cost of the toy by 1.20 ( cost plus 20%).

6.25 x 1.20 = $7.50

This means when the toy is sold at 25% off, it needs to be $7.50 to make the 20% profit.

When the item is 25% off, that means it would sell for 75% of the original price.

Now to find what the price needs to be before the 25% off divide the profit price by 75%

7.50 / 0.75 = $10

K = $10

We have to assume that the sample mean is given , distribution is normal and sample size is also given.

Given confidence level 99%.

We have to answer the assumptions that are needed to make a valid 99% confidence interval.

Confidence interval can be made by formula of margin of error.

Margin of error is the difference between actual values and the calculated values.

Upper level of confidence interval=Mean+ margin of error

Lower level of confidence interval= Mean - margin of error.

Margin of error=z*σ/\(\sqrt{n}\)

where z is the corresponding z value for the confidence level given ,

σ is population mean and n is sample size.

Hence to calculate the confidence interval we need population mean, sample size.

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B) By taking a difference, we can see that they used 112 quarts of oil this week

C) By dividing by 4, we can see that they used 28 gallons of oil.

You already found correctly that they started with 140 quarts of olive oil, and the problem tells us that they ended the week with 28 quarts, then the amount that they used on the week is given by the following difference:

140 - 28 = 112

Then we can see that they used 112 quarts of olive oil on the week.

C) Now we know that there are 4 quarts in one gallon, so if we want to find the amount that they used in gallons, we just need to divide the amove amount by 4, we will get:

112/4 = 28

So they used 28 gallons of oil on the week.

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The determinant of the given matrix { [1 4 3], [3 5 1], [4 1 5]} is -71. Thus, the correct answer is (d) -71.

To compute the determinant of the matrix using cofactor expansion, we can expand along the first row:

det = 1( det ([5 1][1 5]) - 4 ( det([3 1][4 5]) ) + 3 ( det([3 5][4 1]) )

det = 1(( 5*5 - 1*1 ) - 4*( 3* 5 - 1*4 ) + 3*( 3*1 - 5*4 ))

det = 1( 25 - 1 - 4 ( 15 - 4 ) + 3 ( 3 - 20 ))

det = 1( 25 - 1 - 4 ( 11 ) + 3 (-17) )

det = 1( 25 - 1 - 44 - 51 )

det = 1( -71 )

Therefore, the determinant of the given matrix is -71.

So, the correct answer is (d) -71.

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When computing the area of a circle, the mathematical constant pi () is required. Pi is the circumference-to-diameter ratio of a circle and is approximately equal to 3.14159.

The area of a circle is calculated by multiplying pi by the radius squared (r2). To estimate the area of a circle, utilize pi in the calculation since it is a vital aspect of the relationship between the circumference and diameter of a circle.

Pi is not required when determining the area of a square, rectangle, or cube since the formulas for these shapes are different.

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The question is -

The mathematical constant pi is needed when calculating the area of a _.

a. circle

b. square

c. rectangle

d. cube

The person's total salary over the first 6 years is $231,750.

To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.

Given information:

- Initial salary: $34,000

- Annual raise: $1,850

- Number of years: 6

To calculate the total salary, we can use the arithmetic progression formula:

[ S = frac{n}{2} left(2a + (n - 1)dright) ]

Where:

- ( S ) is the sum of the salaries

- ( n ) is the number of terms (years)

- ( a ) is the first term (initial salary)

- ( d ) is the common difference (annual raise)

Substituting the given values, we have:

[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]

Simplifying the expression:

[ S = 3 left( 68000 + 5 times 1850 right) ]

[ S = 3 left( 68000 + 9250 right) ]

[ S = 3 times 77250 ]

[ S = 231750 ]

Therefore, the person's total salary over the first 6 years is $231,750.

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Answer:

i'm not sure if this all correct

Step-by-step explanation:

part A you start at 8 from the first participant then you take away one from the last one. you add up all the numbers up to get the answer. 8+7+6+5+4+3+2+1=36.

part B the first part is 1x1x1x1x1x1x1x1=1. the second part is 8x7x6x5x4x3x2x1= 40,320. the third part is 1/40320

Answer:

3y √21 + 2 y√15

Step-by-step explanation:

To simply, we open up the bracket

We have this as;

√(189y^2) + √60y

= 3y √21 + 2 y√15

Answer: g(f)= 2f - The input is f

h(g)=-4+g - The input is g

f(h)=h-7 - The input is h

Step-by-step explanation:

The matches are:

h(g) = -4 + 9 corresponds to input g.

f(h) = h - 7 corresponds to input h.

g(t) = 21 corresponds to input t.

We have to given that,

To Match each function with its input.

h(g) = -4+9

The input is f.

f(h) = h - 7

The input is h.

g(t) = 21

The input is g.

Now, We get;

h(g) = -4 + 9 corresponds to input g.

f(h) = h - 7 corresponds to input h.

g(t) = 21 corresponds to input t.

So the matches are:

h(g) = -4 + 9 corresponds to input g.

f(h) = h - 7 corresponds to input h.

g(t) = 21 corresponds to input t.

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The 10th percentile of pit depths is 780μm. A certain pit with 780 μm deep is at the 10th percentile. The proportion of pits have depths between 800 and 830 μm is 7.33%.

A)

To find the 10th percentile of pit depths, we need to use the z-score table. Where x = μ + zσ, here we are looking for the z-score, for the given 10th percentile.

Using the standard normal distribution table, we get the value of -1.28 which corresponds to the 10th percentile.

Therefore,

x = 818 - 1.28 * 29x = 779.88 = 780μm.

So, 780μm is the 10th percentile of pit depths.

B)

We are given that the mean is 818 μm and standard deviation is 29 μm. A certain pit is 780 μm deep. To find the percentile for this, we need to find the z-score for this given pit.

x = 780 μm, μ = 818 μm, σ = 29 μm

Now, z-score can be found as,

z = (x - μ) / σ = (780 - 818) / 29 = -1.31

We can find the percentile using the standard normal distribution table.

Therefore, the given pit is at the 10th percentile.

C)

We are given that the mean is 818 μm and standard deviation is 29 μm. The proportion of pits with depths between 800 and 830 μm can be calculated as follows:

P(z < (X- x) / σ) - P(z < (830 - 818) / 29) - P(z < (800 - 818) / 29)

P(z < -0.41) - P(z < -0.62) = 0.3409 - 0.2676 = 0.0733

(rounded off to four decimal places)

Therefore, approximately 7.33% of pits have depths between 800 and 830 μm.

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Answer:

Step-by-step explanation:

Use this formula for interest:

Substitute values and solve for r:

Answer:

Step-by-step explanation:

2% is the answer

Answer:

1

Key:

Step-by-step explanation:

\(2^0=1\)

Answer:

There is 30% probability for the students who score 60 marks in math.

Step-by-step explanation:

The probability of the students who score 60 marks in math is 30%. There is 70% chance that a student will score less than 60 marks in math. The students who score 60 plus in math will score lesser in English.

No, the function y=2sin(2x) is not a solution of the differential equation y'''-8y=0.

To determine whether a function is a solution to the differential equation, we have to first find the derivatives of the function. The derivatives of y=2sin(2x) are y'=4cos(2x), y''=-8sin(2x) and y'''= -16cos(2x).

Next, we have to substitute the derivatives of the given function into the differential equation. When we substitute the derivatives of y=2sin(2x) into the differential equation, we get -16cos(2x) - 8×2sin(2x) = 0. This is not equal to 0, so y=2sin(2x) is not a solution to the differential equation y'''-8y=0.

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Answer:

The answers would be:
7) y=-0.5x+2
8) y=-0.5x+2
9) y=0.6x-2
10) y=6x-4

Step-by-step explanation:

Answer:

D. {(2,3) (2,5) (4,7)}

Step-by-step explanation:

2 has an output od 3 and 5, and 4 has an output of 7

The function that describes the fund that was raised is 0.05³ - 30x - 12425

The revenue is  R (z) = 0.05x³ + 75

the cost = C(z) = 30x + 12,500.

Please note that the equation for revenue missed a sign in the question so I made use of the plus sign

We would have revenue - cost

Hence ( 0.05x³ + 75) - (30x + 12,500)

We would open the bracket

0.05x³ + 75 -30x -12500

We would take the like term to

0.05³ - 30x -12500 + 75

0.05³ - 30x - 12425

The function that describes the fund that was raised is 0.05³ - 30x - 12425

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Answer: F(x)=0.05x^3-30x-12,575

Step-by-step explanation:

Correct on test.

Answer:

12

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

3x^2+6x+8=6

3x^2+6x+8-6=0

3x^2+6x+2=0

here  a=3 ,b=6,c=2

Discriment=b^2-4ac

  =(6)^2-4(3)(2)

=36-24

=12

Answer:

3

Step-by-step explanation:

\(3+11t-9u\\\\\rightarrow\boxed{t = 9; u = 11}\\\\3+11(9)-9(11)\\\\3+99-99\\\\102-99\\\\\boxed{3}\)

Hope this helps.

The total number of groups in the study of one way ANOVA with the given condition of variable and levels is four different groups and number of different factors in one-way ANOVA is equal to one.

In a one-way ANOVA with one independent variable with four levels, there are four different groups in the study.

Each group represents a level of the independent variable.

There is only one factor in a one-way ANOVA.

The factor is the independent variable with the four levels, which is used to classify the groups in the study.

The factor is what the researcher is interested in studying.

And the ANOVA is used to determine if there are any statistically significant differences in the mean scores between the groups.

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Answer:

Ok, sabemos que:

Las medidas de cada mayólica tipo A son 45 cm x 45 cm.

Las mayólicas son cuadradas, y el área de un cuadrado de lado L es:

A = L^2.

Entonces el área de una mayólica tipo A es:

A = (45cm)^2 = 2,025cm^2.

Ahora, sabemos que en el patio 1 Víctor coloca 9 de estas en cada lado.

Entonces cada lado de este patio mide 9 veces 45cm

9*45cm = 405cm

El patio 1 es de 405cm x 405cm

el área es:

A1 = 164,025 cm^2

Ahora vamos al patio 2.

Acá usa mayólicas de tipo B, que son 30cm x 30cm

Y usa 12 en cada lado, entonces cada lado de este patio mide 12 veces 30 cm

12*30cm = 360cm

El patio dos es de 360cm x 360cm.

El área es:

A2 = 129,600 cm^2

Entonces:

Patio 1 tiene mayor área, y la diferencia entre las áreas es:

D = A1 - A2 = 164,025 cm^2 - 129,600 cm^2 = 34,425cm^2

Usando la fórmula para el área de un cuadrado, tiene-se que:

-----------------------

El área de un cuadrado de lado l es dado por:

\(A = l^2\)

-----------------------

\(A_{A} = 4.05^2 = 16.40 \text{m}^2\)

-----------------------

\(A_{B} = 3.6^2 = 12.96 \text{m}^2\)

-----------------------

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Answer:

C

Step-by-step explanation:

y=x(1/2)^x

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

That's an interesting research approach!  By gathering opinions from different groups of children, specifically home-schooled, private school attendees, and public school attendees, the researcher can gain insights into how various educational backgrounds might influence their opinions on the new town curfew.

Collecting a simple random sample from each group ensures that every child within the respective groups has an equal chance of being selected for the survey. This helps in minimizing bias and increasing the generalizability of the findings to the larger population of home-schooled, private school, and public school children.

Once the samples are obtained, the researcher can administer a survey or questionnaire to collect the children's opinions on the new town curfew. The survey may include questions related to their awareness of the curfew, their understanding of its purpose, and their personal opinions on whether they support or oppose it.

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

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Answer:

Step-by-step explanation:

volume = length x width x height

                 ————————————-

                                   3

The foci of the ellipse are (4, 0) and (9, 0).

To find the foci of the ellipse, we first need to determine its standard form equation and identify the values of the major and minor axes. Given the endpoints of the major axis are (0,0) and (13,0), we can determine that the length of the major axis (2a) is 13 units. Thus, a = 6.5 units.

The minor axis has a length of 12 units, so the length of the minor axis (2b) is 12 units. Therefore, b = 6 units.

Next, we will find the value of c, which is the distance from the center of the ellipse to each focus. Using the relationship \(c^2 = a^2 - b^2\), we get:

\(c^2 = (6.5)^2 - (6)^2\)
\(c^2 = 42.25 - 36\)
\(c^2 = 6.25\)
c = √6.25
c ≈ 2.5 units

Now, we have all the necessary information to find the foci of the ellipse. Since the major axis is along the x-axis, the foci will be located at a distance of c units to the left and right of the center (which is the midpoint of the major axis). The center of the ellipse is (6.5, 0), so the foci will be at (6.5 - 2.5, 0) and (6.5 + 2.5, 0), which are (4, 0) and (9, 0).

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Answer:

40m squared

Step-by-step explanation:

the formula for the area of a trapezoid is 1/2(b1+b2)h

one half of 6+10 is 8 and 8 times 5 is 40.

The equation of the line in standard form, passing through the point (6, -4), and parallel to the line 2x - 4y = 8, is -2x + 4y = -28.

To find the equation of a line parallel to the given line, we can observe that parallel lines have the same slope. The slope of the given line can be determined by rearranging the equation in slope-intercept form (y = mx + b), where m represents the slope. So, let's rearrange the given equation 2x - 4y = 8:

2x - 4y = 8

-4y = -2x + 8

y = (1/2)x - 2

From this, we can see that the slope of the given line is 1/2. Since the line we need to find is parallel to this line, it will have the same slope. Using the point-slope form of a linear equation (y - y₁ = m(x - x₁)), where (x₁, y₁) is the given point (6, -4) and m is the slope (1/2), we can substitute the values into the equation:

y - (-4) = (1/2)(x - 6)

y + 4 = (1/2)x - 3

y = (1/2)x - 7

To convert the equation to standard form, we multiply both sides by 2 to eliminate fractions:

2y = x - 14

-2x + 4y = -28

Therefore, the equation of the line in standard form that passes through the point (6, -4) and is parallel to 2x - 4y = 8 is -2x + 4y = -28.

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A presentation aid which is a pictorial representation of statistical data is called a Graph. Graph is defined as a statistical diagram or chart which is used to represent statistical data in an easy-to-understand format.

Graphs are very effective in helping people understand large quantities of complex data.Graphs can be used to represent different kinds of data such as line graphs, bar graphs, pie charts, scatter graphs, and more. Line graphs are used to show how a variable changes over time, bar graphs are used to compare different quantities, pie charts are used to show the proportion of different parts of a whole, and scatter graphs are used to show how two variables are related to each other.Graphs have a number of benefits over tables when it comes to representing data.

For one thing, they are often easier to read and understand than tables. They are also more visually appealing, which makes them more likely to grab people's attention. Finally, they can be used to show trends and relationships in data that would be difficult to see in a table.

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Answer:

7

Step-by-step explanation:

x+16=4x-5

slove for x