What is the distance between (-10,7) and (2,-9)

Answer:

90,000

Step-by-step explanation:

As an estimate

200 * 450

which is 90,000

Answer:

\(\huge\boxed{\sf 18^{-3}}\)

Step-by-step explanation:

\(\displaystyle \frac{18^4}{18^7}\)

So, the expression becomes:

= \(18 ^{4-7}\)

= \(18^{-3}\)

\(\rule[225]{225}{2}\)

Answer:

3.80 liters.

Step-by-step explanation:

1 quart is about 0.95 liters. Therefore, 4 quarts is 0.95*4 liters, or 3.8 liters.

The number of liters in 4 quarts is 3.8 liters.

The given quantity is 4 quarts.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

We know that, there are 1.05 quarts in one liter.

Here, number of liters = 4/1.05

= 3.8 liters

Therefore, the number of liters in 4 quarts is 3.8 liters.

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Based on the scatterplot, the form of the relationshipbetween fire spread rate and wind speed   can be described as a positive correlation.

As wind speed increases,the fire spread rate also tends   to increase.

b. Direction  -

Based on the given scatterplot,the direction of the relationship between fire spread rate and wind speed appears to   be positive.

As the wind speed   increases,the fire spread rate generally tends to increase as well.

c. Strength  -

The scatterplot suggests a   moderate to strong relationship between fire spread rate and wind speed.

The data points   exhibit a somewhat linear pattern, indicating that there is a noticeable association between these variables.

The firespread rate tends to increase consistently as the wind speed increases, suggesting a relatively strong positive correlation between the two factors.

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Full Question:

Wind and Moisture: To understand how weather and landscape affect the spread of wildfires, an experiment was conducted in a low velocity wind tunnel. A fire was started in pine litter, and the researchers measured the fire spread rate for varying wind speeds and pine litter moisture contents.

Data for fires started in pine litter that had a moisture content of 4% are shown in the table below.

Wind Speed (miles/hour) Fire Spread Rate (feet/minute)

0.76                                         0

1.78                                             2

3.34                                                4

5.38                                       6

8.10                                                8

11.75                                     10

16.70                                    12

A scatterplot of these data is shown here  -

1. Based on the scatterplot, how would you describe the following with regard to the relationship between fire spread rate and wind speed?

a. Form:

b. Direction:

c. Strength:

Answer: Point P is at (3, 7)

Step-by-step explanation: the distance from point a to point B is 10.8. 10.8 divided by 3 is 3.6, so you have to find a point that 3.6 from point a. Using a graph, I found the answer to be (3,7)

The relative frequencies for this problem are given as follows:

A relative frequency is calculated as the number of desired outcomes divided by the number of total outcomes.

The total number of people is given as follows:

32 + 68 = 100.

Of those, 25 + 45 = 70 wear a watch, hence the relative frequency is given as follows:

70/100 = 0.7.

30 do not wear a watch, hence the relative frequency is given as follows:

30/100 = 0.3.

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The woman will withdraw $300 given 6%   interest rate annually.

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:

r = 0.06/365 = 0.00016438356

The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:

I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999

The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:

300 + 0.017 = $300.02

Rounding to the nearest dollar, the woman will withdraw $300.

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Answer:

37

Step-by-step explanation:

Before we find quartile, we have to arrange the data set in order first from least to greatest which this problem has already arranged the data for us.

Next, proceed with the calculation. The formula for finding position of quartile is:

\(\displaystyle{Q_r = \dfrac{r(N+1)}{4}}\)

Where \(\displaystyle{Q_r}\) means the rth quartile, N means number of data set. Since we want to find the third quartile, substitute r = 3 and there are 11 data so substitute N = 11:

\(\displaystyle{Q_3 = \dfrac{3(11+1)}{4}}\\\\\displaystyle{Q_3 = \dfrac{3(12)}{4}}\\\\\displaystyle{Q_3 = 3\cdot 3}\\\\\displaystyle{Q_3 = 9}\)

So the position of third quartile is at 9th position which is 37.

Henceforth, the third quartile is 37.

Answer:

37.

Step-by-step explanation:

The data is in ascending order, which is what we need to get the answer.

As there are 11 numbers the 9th number is the upper(third)  quartile.

The median ( middle) number is 29 and the upper quartile is the middle number of the 5 numbers to the right of the median.

It is 37.

The expression for the total cost of Sal's purchases is 7x + 5y cents.

We know that Sal paid (x + 2y) cents for a quart of milk and (2x + y) cents each for three cartons of orange juice.To find the total cost of Sal's purchases we need to add the cost of the milk and the cost of the three cartons of orange juice and simplify the expression.The cost of the milk is given as (x + 2y) cents. The cost of three cartons of orange juice is (2x + y) cents each.

Therefore, the cost of three cartons of orange juice is (3 × (2x + y)) cents. To find the total cost of Sal's purchases, we add the cost of the milk and the cost of the three cartons of orange juice.(x + 2y) + (3 × (2x + y)) cents = x + 2y + 6x + 3y cents= 7x + 5y cents.

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The equation explaining the relationship between line segment AC and line segment A"C" is: y_A"C" = y_AC.

To determine the relationship between line segment AC and line segment A"C" in the given transformation, let's consider the properties of translation and dilation.

Translation:

A translation moves an object in a specific direction by a given distance. In this case, the translation (x + 0, y + 2) means that every point of the original triangle A'B'C' is shifted vertically upward by 2 units. So, A' becomes A" when shifted vertically by 2 units.

Dilation:

A dilation scales an object by a certain factor while keeping the same center of dilation. The scale factor of 2 means that every point is multiplied by 2 in both the x and y coordinates. Since the center of dilation is the origin (0, 0), the origin remains fixed.

Considering these transformations, we can deduce the following:

1. Translation: (x, y) ⟼ (x, y + 2)

2. Dilation: (x, y + 2) ⟼ (2x, 2(y + 2))

Applying the dilation to the translated point A", we get:

A" = (2x, 2(y + 2))

Now, we can determine the equation that relates line segment AC and line segment A"C" by comparing their coordinates:

The coordinates of A are (x, y), and the coordinates of C are (0, y) since it is a vertical line segment.

The coordinates of A" are (2x, 2(y + 2)), and the coordinates of C" are (0, 2(y + 2)).

The slope between A and C is given by:

m_AC = (y - (y + 2)) / (x - 0) = -2 / x

The slope between A" and C" is given by:

m_A"C" = (2(y + 2) - (2(y + 2))) / (2x - 0) = 0

Since the slope between A" and C" is zero, it indicates that line segment A"C" is a horizontal line. There is no change in the y-coordinate, implying that the y-value of A" and C" remains the same.

In other words, the y-coordinate of A"C" is equal to the y-coordinate of AC.

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The probable question may be:
Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between line segment AC and line segment A"C"?

The cost of shelving Nathaniel’s DVD collection is 15.75×27=$425.25.

We are given that;

Dimensions =7.5in, 5.3in, 0.6in

To find the cost of shelving Nathaniel’s DVD collection, we need to find how many shelves he needs and multiply that by the price of each shelf. To find how many shelves he needs, we need to find how many DVDs can fit on one shelf and divide that by the total number of DVDs.

Since the shelves are 31.5 inches wide and the DVDs are 5.3 inches wide, we can fit 5.331.5​≈5.94 DVDs on one shelf. We round this down to 5 DVDs per shelf because we cannot fit a partial DVD on a shelf.

Since Nathaniel has 132 DVDs in his collection, he needs 5132​=26.4 shelves. We round this up to 27 shelves because we cannot use a partial shelf.

Therefore, by algebra the answer will be 15.75×27=$425.25.

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I guess its

25x-24

hope it helps...

The surface area of the complex solid is 530 square yards.

In this problem we need to determine the surface area of the complex solid, that is, the sum of the area of all faces of the solid. The area formulas required to find the surface area is:

A = w · h

Where:

The surface area of the complex solid is:

A = 2 · (11 yd) · (3 yd) + 2 · (4 yd)² + (12 yd) · (11 yd) + (12 yd) · (3 yd) + (12 yd) · (7 yd) + 2 · (4 yd) · (12 yd) + (12 yd) · (7 yd)

A = 66 yd² + 32 yd² + 132 yd² + 36 yd² + 84 yd² + 96 yd² + 84 yd²

A = 530 yd²

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Answer:

A - The first one

Step-by-step explanation:

Answer:

The first line.

Step-by-step explanation:

The line starts off at 0,

then it goes to the left of the line -3 times.

Then it goes to the left -1.5 times.

this means it goes one and a half.

so it would land on the line after -4.

Answer:

$544

Step-by-step explanation:

To determine the original price of the DVD player considering that you know that it had a 75% reduction, you can use a rule of three as the price of $136 represents 25% of the original price and with this you can calculate the price that represents 100%:

$136 → 25%

  x    ← 100%

x=(136*100)/25=$544

According to this, the answer is that the original price of the DVD player was $544.

idkStep-by-step explanation:

Answer:

23.25 you will just divide it

Step-by-step explanation:

The linear equation each graph is y = (1/5)x +3, y = 2x,  y = -3x+5 and y = (1/3)x +5 respectively

The equation of a line is of the form y = mx+c

Where m is the slope and c is the y-intercept

Graph 1

c = 3

m = 1/5 = 0.2

y = mx+c

Thus, the linear equation is y = (1/5)x + 3 or y = 0.2x + 3

Graph 2

c = 0

m = 2/1 = 2

y = mx+c

Thus, the linear equation is y = 2x+0 or y = 2x

Graph 3

c = 5

m = -3/1 = -3

y = mx+c

Thus, the linear equation is y = -3x+5

Graph 4

c = 5

m = 1/3 = 1/3

y = mx+c

Thus, the linear equation is y = (1/3)x+5 or y = 0.33x+5

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x = 12

5x + 15 = 75

5x = 75 - 15

5x = 60

x = 60 : 5

x = 12

Answer:

Greater than because 0.036 would need .006 to get to .042

Answer:

4182

Step-by-step explanation:

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

Answer:

0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The firm found that the population mean amount that all smokers spend on cigarettes is $20 and the population standard deviation is $5.

This means that \(\mu = 20, \sigma = 5\)

Sample of 100:

This means that \(n = 100, s = \frac{5}{\sqrt{100}} = 0.5\)

What is the probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average?

This is the pvalue of Z when X = 21 subtracted by the pvalue of Z when X = 19. So

X = 21

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{21 - 20}{0.5}\)

\(Z = 2\)

\(Z = 2\) has a pvalue of 0.9772

X = 19

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{19 - 20}{0.5}\)

\(Z = -2\)

\(Z = -2\) has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average

Answer:

\((c,b) are the coordinates of N\)

Step-by-step explanation:

as N is the mid-point of QR

BY USING MID-POINT FORMULA

\(N(x,y)=(\frac{x1+x2}{2},\frac{y1+y2}{2})\)

PUTTING THE VALUES OF COORDINATES

\(N(x,y)=(\frac{0+2c}{2},\frac{2b+0}{2})\)

\(N(x,y)=(\frac{2c}{2},\frac{2b}{2})\)

\(N(x,y)=(c,b) are the coordinates\)

O HOPE THIS WILL HELP YOU :)

Answer:

B.

Step-by-step explanation:

B is the least expensive

Subtracting a negative becomes addition.

S - -37 = 98

Simplify:

S + 37 = 98

Subtract 37 from both sides:

S = 61

Answer:

61

Step-by-step explanation:

98 - 37 = 61

s = 61

Answer:

28 feet

Step-by-step explanation:

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

28 feet

Step-by-step explanation:

We need to find 7/8 of 32...

7/8*32=224/8=28

You can also start by cancelling the 8 and the 32 (32/8=4) like so...

7/8*32=7*4=28

The fish swam 28 feet down

It is summer but it is snowing.

Answer:

The length is 117 ft and the width is 13 ft.

Step-by-step explanation:

From the question itself, we can write down the following equations...

(Let "P" be the perimeter of the rectangle, Let "L" be the length, and let "W" be the width, then...)

L = 9W

and

P = 2L + 2W

Now, we substatute the "L" value and get...

P = 2L + 2W

260 = 2(9W) + 2W

260 = 20W

W = 260 / 20

W = 13

Since we know the width we can now find the length by using the very first formula...

L = 9W

L = 9(13)

L = 117

Therefore, the length is 117 ft and the width is 13 ft.

Answer:

Step-by-step explanation:

From the question:

The given table is as follows:

                                              Edge Finish

                                          Excellent                  Good

Surface       Excellent           80                           2

Finish          Good                  10                            8

So, we are being told that,

A represent the event that a sample has an excellent surface finish, and let B denote the event that a sample has excellent edge finish

The objective is to fin the following probabilities

P(A)

A = (80 +2) = 82

The total samples of cast = 80 + 10 +2 + 8 = 100

∴ P(A) = 82/100

P(A) = 0.82

P(B)

B = 80+10

B = 90

P(B) = 90/100

P(B) = 0.90

c) P(A')

(A') are the sets  that are not in A but they are in the samples

i,e

(A') = 100 - 82

(A') = 18

So;

P(A')  = 100/18

P(A')  = 5.56

d)  P(A ∩ B)

A = ( 80, 2)

B = (80,10)

The intersection of A and B (i.e. A ∩ B) is the common value between them which is 80

P(A ∩ B) = 80/100

P(A ∩ B) = 0.80

e)  P(A ∪ B)

A = ( 80, 2)

B = (80,10)

The union of A and B is the addition of A and B

i.e. 80+2+10 = 92

P(A ∪ B) = 92/100

P(A ∪ B) =  0.92

f.  P(A' ∪ B)

A' = (10, 8)

B = (80,10)

The union of A complement and B is

(A' ∪ B) = 10 + 8 + 80

(A' ∪ B) = 98

P(A' ∪ B) =  98/100

P(A' ∪ B) = 0.98