Leah want to buy a necklace for her mother’ birthday that cot $48. 50. She currently ha $14. 55. What percentage of the total doe Leah have?

The opposite of a number is derived when the value moves in the opposite direction on the number line. Hence the opposite of 10 on the number line is -10 because you simply move 10 units to the left of the number line. So to put it simply, the opposite of a number is the same number with a negative value. However the absolute value of a number is the positive value of that same number. Hence when a number is expressed in its absolute value (usually written as |x|, then whether its positive or negative, its value would be expressed as a positive. Which means for example, the absolute value of -10 is 10, (or | -10 | = 10).

The opposite of a number and its absolute value is always the same, because the value of any number in its absolute form is always positive.

Note that two numbers are opposites if they have the same absolute value.

Answer:

r=3.10in

SA= 138.22 in square

Step-by-step explanation:

Given data

Volume = 121 in^3

Height= 4 in

a) What is the radius of the cylinder?

 We know that volume

 V=πr^2h

121= 3.14*r^2*4

121= 12.56r^2

121/12.56= r^2

9.63=r^2

r= √9.63

r=3.10in

b) What is the surface area of the cylinder? Give your answer in terms of īt.

The surface area of cylinder is expressed as

SA=2πrh+2πr^2

SA= 2*3.14*3.1*4+ 2*3.14*3.1^2

SA= 77.872+60.3508

SA= 138.22 in square

Answer:

26 1/2

or

26.5

Step-by-step explanation:

3/8=0.375 and 4/5=0.8

So 3/8 is less than 4/5

3/8<4/5

Answer: This means that the amount of whatever you have is going up.

Step-by-step explanation:

Increases means going up

Decrease means going down

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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Answer:

12.41

Step-by-step explanation:

4x + 10 + 3x - 10 + 5x + 10 +6x + 36 + 6x + 26 = 360

360 is sum of exterior angles

24x + 62= 360

x = 12.41

Answer:

144

Step-by-step explanation:

This is the counting principle.

Multiply the numbers of the items together.

6 × 4 × 3 × 2 = 144

the volume of the solid is \(V = π r2 (sqrt(3/4)r) / 3 = π r3 sqrt(3/4) / 3.\)

Plugging in the given values, we get\(V = π (3)3 sqrt(3/4) / 3 = 27π/4.\)

The volume of a solid with a circular base and cross sections taken parallel to one of the diameters that are equilateral triangles can be found using the slicing method. The formula for the volume of such a solid is:\(V = π r2 h/3,\)where π is the constant pi, r is the radius of the circular base, and h is the height of the solid.

In this case, the radius of the circular base is 3 and the height is equal to the length of the sides of the

equilateral triangles. To find the height, we can use the Pythagorean Theorem. The hypotenuse of the triangle is 2r, so the length of the sides is sqrt(r2 - (r/2)2), which simplifies to sqrt(3/4)r.

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Answer:

4 cm

Step-by-step explanation:

Base 6 cm

Area 12 cm²

Formula:

h_b = 2 A/b

Answer:c

Step-by-step explanation:

The value of the F ratio for testing the significance of this model is not 15.56.

For question 10, in a simple linear regression analysis, SST represents the total sum of squares, which measures the total variation in the dependent variable. SSE represents the sum of squared errors, which measures the variation that is not explained by the regression model.

To determine which statement is true, we need to compare the values of SST and SSE.


Now let's move on to question 14. The standard error of estimate is a measure of the variability of the observed values around the regression line. It is not directly related to the sum of the residual squared.

Therefore, the statement that the sum of the residual squared must be 120 is not necessarily true.

Lastly, for question 15, the F ratio is used to test the overall significance of a multiple regression model. It compares the explained variation (SST - SSE) with the unexplained variation (SSE) and takes into account the number of observations and number of explanatory variables.

Given that SST is 900 and SSE is 460, we can calculate the F ratio as follows:

F = ((SST - SSE) / number of explanatory variables) / (SSE / (number of observations - number of explanatory variables))

F = ((900 - 460) / 5) / (460 / (35 - 5))

F = 440 / 460

F ≈ 0.9565

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The probability that the remaining bill is a $2 bill is approximately 0.2857 or 28.57%.

To solve this problem, we can use conditional probability. Let's denote the events as follows:

A: The wallet initially contains a $2 bill.

B: The wallet initially contains a $20 bill.

C: The bill drawn from the wallet is a $2 bill.

We want to find the probability of Provenience is the horizontal and vertical position of an artifact within the matrix.  A occurring given that event C has occurred, P(A|C).

To begin, let's analyze the given information:

- The wallet either contains a $2 bill or a $20 bill, with equal likelihood. So, P(A) = P(B) = 0.5.

- If the wallet initially contains a $2 bill (event A), the probability of drawing a $2 bill (event C) is 2/3, since there are two $2 bills and one $20 bill in the wallet.

- If the wallet initially contains a $20 bill (event B), the probability of drawing a $2 bill (event C) is 1/2, as there is only one $2 bill left in the wallet.

Now, let's calculate the probability using Bayes' theorem:

P(A|C) = (P(C|A) * P(A)) / P(C)

P(C|A) = 2/3 (probability of drawing a $2 bill given that the wallet initially contains a $2 bill)

P(C) = P(C|A) * P(A) + P(C|B) * P(B) (total probability of drawing a $2 bill)

P(C|B) = 1/2 (probability of drawing a $2 bill given that the wallet initially contains a $20 bill)

P(C) = (2/3 * 0.5) + (1/2 * 0.5) = 1/3 + 1/4 = 7/12

P(A|C) = (2/3 * 0.5) / (7/12)

      = 4/6 / 7/12

      = (4/6) * (12/7)

      = 2/7

Therefore, the chances that the remaining bill in the wallet is a $2 bill, given that a $2 bill was drawn, is 2/7 or approximately 0.2857 (or 28.57%).

So, the probability that the remaining bill is a $2 bill is approximately 0.2857 or 28.57%.

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The probability mass function (pmf) of the random variable x is:

Question 1: The chance a 1-km segment of railroad track contains a defect is 0.01. Assume the 1-km segments of track are independent. a. Compute the probability that exactly 125 km of track need to be tested before a defect is found. b. On average, how many 1-km segments of railroad track have to be tested before a defect is found?

Answer 1: a. The probability that exactly 125 km of track need to be tested before a defect is found is 0.000148. b. On average, 125.01 1-km segments of railroad track need to be tested before a defect is found.

Question 2: A geotechnical engineering company conducted a study that indicates there is a 20% chance a borehole in a certain neighborhood will find a layer of clay no more than 20 m deep. a. Compute the probability that the third layer of clay within 20 m is found on the seventh borehole drilled. b. Compute the mean and variance of the number of boreholes that must be drilled if the geotechnical engineering company wants to have three that find clay within 20 m.

Answer 2: a. The probability that the third layer of clay within 20 m is found on the seventh borehole drilled is 0.02. b. The mean and variance of the number of boreholes that must be drilled if the geotechnical engineering company wants to have three that find clay within 20 m are 15 and 75 respectively.

Question 3: Dam failures are rare and are estimated to occur on average once every five years. a. Compute the probability there will be at least one dam failure in the next 10 years. b. Draw a pmf that describes the random variable x.

Answer 3: a. The probability that there will be at least one dam failure in the next 10 years is 0.8187. b. The probability mass function (pmf) of the random variable x is:

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Answer:

-10p

Step-by-step explanation:

-4 - 6 = -10

-10

Step-by-step explanation:

combine like terms to create an equivalent

The area of the region bounded by the given curves. y = 6x2 ln(x), y = 24 ln(x) is 2.85 sq.units.

In this question we need to find the area of the region bounded by the given curves. y = 6x^2 ln(x), y = 24 ln(x)

Equating both the equations of the curve,

6x^2 ln(x) = 24 ln(x)

24 ln(x) - 6x^2 ln(x) = 0

x = 1, 2

This means,  the curves intersect at x = 1 and x = 2.

So, the required area would be,

A = ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx

First we find the indefinite integral ∫[24 ln(x) - 6x^2 ln(x)] dx

= -6  ∫[-4 ln(x) + x^2 ln(x)] dx

= -6 ∫ln(x) (x^2 - 4) dx

= -6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x

So,  ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx

= [-6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x] _(x = 1 to x = 2)

= 32 ln(2) - 58/3

= 22.18 - 19.33

= 2.85 sq.units.

Therefore, the area of the region is 2.85 sq.units.

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Answer:

cube root of -215 or -5.9

Step-by-step explanation:

Since this can't be a perfect cube the answer would be cube root of -215 or you find the closest perfect cubes which would be -5 and -6

-5cubed is -125 and -6cubed is -216  and -215 is closer to -216 the number approximately would be -5.9

Hope this helps :)

The cube root of the number -215 will be 5.99i.

An integer y such that y³ = x is known as the cube root of a number x in mathematics. All nonzero complex numbers have three different complex cube roots, while all nonzero real numbers have exactly one real cube root and two complex conjugate cube roots.

Iota is a fictitious unit number represented by the letter I and its value is -1. You may have encountered circumstances where the discriminant is negative while attempting to solve quadratic equations.

Given the expression of cube root is x³ = -215.

x³ = -215

x = ∛-215

x = 5.99i

Therefore, the cube root of the number -215 will be 5.99i.

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Answer:

this is just a hint

Step-by-step explanation:

the question measures 6.EE.7 because it asks the student to solve a real-world problem by writing an equation of the form px=qpx=qpx=q for a case in which p,qp,qp,q and x are all non-negative rational numbers. In this case the equation includes a division expression and shows the total cost of $13.50\$ 13.50$13.50 divided by 666, the number of spiral notebooks.

Answer:

d=8

e=11.31

Step-by-step explanation:

side8 and side(d) are the same length

8squared+8squared=128

\(\sqrt{128}\)=11.31

hope this helps!

Answer:

d = 8 and e = 8√2   ( e = 11.31 do the nearest hundredth)

Step-by-step explanation:

This is a 45-45-90 triangle so the sides are in the ratio 1:1:√2

So d = 8

and

e = 8√2.

Answer:

6 trabalhadores

Step-by-step explanation:

Aqui, sabemos que 4 trabalhadores produzem 60 sanduíches em 6 dias.

Agora, queremos saber o número de trabalhadores que produzirão os mesmos 60 sanduíches em 4 dias O que isto significa é que os 4 trabalhadores produzem 10 sanduíches por dia e, portanto, cada um produz 2,5 sanduíches por dia.

Agora temos 4 dias para trabalhar e temos que completar 60 sanduíches. Isso significa que devemos completar 15 sanduíches por dia.

Como cada trabalhador completa 2,5 em um dia, o número de trabalhadores que completam 15 será 15 / 2,5 = 6 trabalhadores

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

Answer:

B.

Step-by-step explanation:

Use your calculator’s normalcdf function.

normalcdf(15.9, 19.1, 17.5, 1.6) = 0.6827

That’s closest to 68%.

Primarily, horizontal lines mean zero slope. Therefore the equation is y= 3 because you are only left with the y-intercept at this point. The rate of change is another way of saying slope. Function 2's slope is 5 and function 1's slope is 0. Therefore, the rate of change of function 2 is greater than the rate of change of function 1 by 5.  

5 is the answer.

hope this helps :)

The conclusion from the equation |y + 6| = 2 is that it has two solutions , the correct option is (b) .

In the question ,

it is given that ,

the equation is given as |y \(+\) 6| \(=\) 2 ,

after removing the modulus  , we get the two equations , that are

y + 6 = 2 and y + 6 = -2

Solving y + 6 = 2 , we get

y + 6 = 2

Subtracting 6 from both LHS and RHS ,

we get

y = 2 - 6

y = -4

On Solving y + 6 = -2 ,

we get

y + 6 = -2,

Subtracting 6 from both LHS and RHS ,

we get

y = - 2 - 6

y = -8 .

the two solutions are y = -8 and y = -4 .

Therefore , The conclusion from the equation |y + 6| = 2 is that it has two solutions , the correct option is (b) .

The given question is incomplete , the complete question is

Consider this equation. |y + 6| = 2 what can be concluded of the equation? check all that apply.

(a) There will be one solution

(b) There will be two solutions.

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Answer:

To find the perimeter of a polygon, you just have to add the values of each side.

For example, if a rectangle has a length of 10 inches and a width of 5 inches, you would add, 10 + 10 + 5 + 5, which is equal to 30. This is found because the length of one side is 10, the other is also 10, and the width is 5, and the other is also 5.

The 90% confidence interval for the mean of all tree-ring dates from this archaeological site is (1295, 1317).

To find the critical value for a 90% confidence interval, we need to determine the value of tc. Since the sample size is small (n < 30) and the population standard deviation is unknown, we can use the t-distribution.

The critical value can be found using a t-table or a statistical calculator. For a 90% confidence level with 8 degrees of freedom (n - 1), the critical value is approximately 1.860.

tc = 1.860

To find the maximal margin of error, we can use the formula:

E = tc * (s / √n)

where s is the sample standard deviation and n is the sample size. Given that the sample size is 9 and we don't have the sample standard deviation, we can estimate it using the sample standard deviation formula.

After calculating the sample standard deviation, let's assume it is s = 18.45 (rounded to two decimal places).

E = 1.860 * (18.45 / √9) = 11.079

The maximal margin of error is approximately 11.

To find the confidence interval, we use the formula:

lower limit = sample mean - E

upper limit = sample mean + E

Given that the sample mean is 1306 (rounded to the nearest whole number):

lower limit = 1306 - 11 = 1295

upper limit = 1306 + 11 = 1317

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The slope of the line passing through the points (-5, -4) and (-13, 2) is -3/4.

Slope is simply expressed as a change in y over the change in x.

It is expressed as

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Given the points:
(-5, -4) and (-13,2)​

Point (-5, -4):

x₁ = -5

y₁ = -4

Point (-13,2)​:

x₂ = -13

y₂ = 2

Plug the given x and y values into the slope formula and simplify.

\(m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2 - (-4)}{-13 - (-5)}\\\\m = \frac{2 + 4}{-13 + 5}\\\\m = \frac{6}{-8}\\\\m = -\frac{3}{4}\)

Therefore, the slope of the line is -3/4.

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Answer:

1$ per min

Step-by-step explanation:

16 bit strings of length five either start with two zeros or end with two zeros are there; 32 bit strings of length six either do not start with two zeros or do not end with two zeros are there; 16 bit strings of length seven either start with four ones or end with four ones are there and 256

bit strings of length eight do not start with a one or do not end with a one are there.

A string is a combination which is made up of only two characters, either 1 or 0.

So, the combinations of the string can be found,

If the length of the bit string is 5, it means it will have 5 characters.

If this string either start with two zeroes or end with two zeroes. It mean there are only three positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×2×2×2)

= 16

16 such bit strings are possible.

If the length of the bit string is 6, it means it will have 6 characters.

If this string either do not start with two zeroes or do not end with two zeroes. It mean there are only four positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×2×2×2×2)

= 32

So, 32 such strings are possible.

Now, If the length of the bit string is 7, it means it will have 7 characters.

If this string either start with four ones or end with four ones. It mean there are only three positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×1×1×2×2×2)

= 16

So, 16 such strings are possible.

If the length of the bit string is 8, it means it will have 8 characters.

If this string either do not start with one and do not end with one. It mean there are only seven positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×2×2×2×2×2×2×2)

= 256

So, 256 such strings are possible.

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Since the slope is -1.2 and not 112, we can conclude that 112 is not the slope of this graph.

To determine whether 112 is the slope of the line that goes through points A(0, 2.5) and B(0.833, 0), we can use the slope formula:

\(slope = (y_{2} - y_{1} ) / (x_{2} - x_{1} )\)

wherewhereand\((x_{1} , y_{1} )\)and \((x_{2} , y_{2} )\) are the coordinates of two points on the line.

Using the coordinates of points A and B, we get:

slope = (0 - 2.5) / (0.833 - 0) = -3 / 2.5 = -1.2

Since the slope is -1.2 and not 112, we can conclude that 112 is not the slope of this graph.
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