Consider the following proportion:
2 12
7 X
Use cross products to write the equation: 2x = 84,
What is the value of x?

Answer:

-1 or 1.

Step-by-step explanation:i hope thats what your looking for.

Answer:

wsg look it up on the internet the answer is 6666666666666666666666666666666666666666666666

Step-by-step explanation:

Let's begin by listing out the information given to us:

(x, y) = (3, 5), (-2, 6)

The general equation of a straight line function is given as:

We calculate the slope using:

Substitute the slope into the, we have:

We will proceed to for b, we have:

x² - 8x + 5 can be expressed as (x - 4)² - 11 in the form (x - a)² - b, where a = 4 and b = 11.

Let y = x² - 8x + 5 ..................( 1 )

Expanding (x - a)² - b we get,

x² - 2ax + a² - b ......................( 2 )

Equating ( 1 ) and (2), we get

x² - 8x + 5 = x² - 2ax + a² - b

Comparing the coefficient of x,

- 8  =  - 2a

a = 4

Comparing constants,

a² - b =  5

since we know a = 4

4² - b =  5

16 - b =  5

b = 11

Hence x² - 8x + 5  = (x - 4)² - 11

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Answer:

5×3+5×w

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

They all between 9

Answer:

the answer is 65......

Answer:

im not sure but maybe d

Step-by-step explanation:

To find the answer, we need to identify the quartiles of the data set and use them to construct the box plot.

First, we need to order the data set in increasing order:

10, 15, 20, 25, 30, 35, 40, 45, 50, 55

Next, we need to find the median (Q2) of the data set. Since we have an even number of data points, we take the average of the two middle values:

Q2 = (25 + 30) / 2 = 27.5

This value represents the median of the data set.

To find Q1 and Q3, we divide the data set into two halves:

10, 15, 20, 25, 30 | 35, 40, 45, 50, 55

Q1 is the median of the lower half:

Q1 = (15 + 20) / 2 = 17.5

Q3 is the median of the upper half:

Q3 = (45 + 50) / 2 = 47.5

We can now use this information to construct the box plot:

     |         -------

     |        /

     |    -------

     |   /

     |-------

     |         10    20    30    40    50

            Q1          Q2         Q3

The box represents the middle 50% of the data (from Q1 to Q3), while the whiskers represent the minimum and maximum values that are not outliers.

Since we want to find the paint time for a student who is slower than 75% of the other students, we need to look at the upper quartile (Q3) of the data set. 75% of the data is contained between Q1 and Q3, so a student who is slower than 75% of the other students would have a paint time greater than Q3.

Therefore, the answer is 46 minutes, which is greater than Q3 (47.5 minutes).

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Standard deviation normal distribution table or calculator to determine the probability of observing a z-score of 1.3 or higher.

The probability is approximately 0.0968, or 9.68%.

To determine the mean number of times the letter appears on a page, we can multiply the probability of the letter appearing (0.066) by the total number of characters on the page (2650):

\(Mean = 0.066 \times 2650 = 174.9\)

To calculate the standard deviation, we can use the formula:

Standard deviation = \(\sqrt(n \times p \times q)\)

n is the sample size (2650), p is the probability of success (0.066), and q is the probability of failure \((1 - p = 0.934)\).

Standard deviation = \(sqrt(2650 \times 0.066 \times 0.934) = 13.2\) (rounded to 1 decimal place)

Determine whether 192 occurrences of the letter on a page is unusual, we can use the z-score formula:

z = (x - mean) / standard deviation

x is the observed number of occurrences (192), mean is the expected number of occurrences (174.9), and standard deviation is the standard deviation we just calculated (13.2).

\(z = (192 - 174.9) / 13.2 = 1.3\)

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Answer:

10 30 15 16 48 24 25 75 37.5

The amount of carbon dioxide emitted by the Honda CR-Z if it is driven for 400 miles is approximately 211.64 pounds (rounded to the nearest pound).

To calculate the amount of carbon dioxide emitted if the Honda CR-Z were driven for 400 miles, we need to use the formula:

Carbon Dioxide (CO2) Emissions = (miles driven / miles per gallon) × (19.64 pounds of CO2/gallon)

Here, the Honda CR-Z gets 37 miles per gallon on average, which is:

37 miles per gallon = 37 miles / 1 gallon

So, if the Honda CR-Z were driven 400 miles, then the number of gallons of fuel used would be:

Gallons used = Miles driven / Miles per gallon

= 400 miles / 37 miles per gallon

≈ 10.81 gallons

Now, we can use this to calculate the amount of carbon dioxide emitted by the Honda CR-Z:

Carbon Dioxide (CO2) Emissions = (miles driven / miles per gallon) × (19.64 pounds of CO2/gallon)

= (400 miles / 37 miles per gallon) × (19.64 pounds of CO2/gallon)

≈ 211.64 pounds

Therefore, the amount of carbon dioxide emitted by the Honda CR-Z if it is driven for 400 miles is approximately 211.64 pounds (rounded to the nearest pound).

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To find how much carbon dioxide would be emitted if the Honda CR-Z were driven 400 miles and the car gets 37 miles per gallon on average,

we can use the following formula:

CO2 Emissions = (Miles Driven ÷ Miles per Gallon) × Carbon Dioxide Coefficient

We are given that the Honda CR-Z gets 37 miles per gallon on average.

Therefore, the number of gallons used to drive 400 miles would be:

Gallons used = (Miles driven ÷ Miles per gallon)

= (400 ÷ 37)

= 10.81 gallons

Since the question requires that we round to the nearest pound, we can say that the gallons used = 11 gallons

Now that we know the number of gallons used to drive 400 miles in the Honda CR-Z,

we can find the carbon dioxide emissions using the following steps:

Step 1: Multiply the number of gallons used by the carbon dioxide coefficient for gasoline. The carbon dioxide coefficient for gasoline is 8.887 × 10−3 metric tons of CO2 emissions per gallon.

Step 2: Convert the answer from Step 1 to pounds by multiplying by 2,204.6 (1 metric ton = 2,204.6 pounds).

CO2 Emissions = (Miles Driven ÷ Miles per Gallon) × Carbon Dioxide Coefficient

CO2 Emissions = 11 × 8.887 × 10−3

CO2 Emissions = 0.097757 metric tons of CO2 emissions

CO2 Emissions in pounds = 0.097757 × 2,204.6

CO2 Emissions in pounds = 215.558 pounds of CO2 emissions

Therefore, if the Honda CR-Z were driven 400 miles, approximately 215.558 pounds of carbon dioxide would be emitted.

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24 kilograms is equal to 52.9152 pounds. To convert from kilograms to pounds, multiply the number of kilograms by 2.2046.

The formula for converting kilograms to pounds is kg*2.2046=lbs. To convert 24 kilograms to pounds, multiply 24 kilograms by 2.2046. The calculation is 24 x 2.2046 = 52.9152 lbs. Therefore, 24 kilograms is equal to 52.9152 pounds.

The kilogram is the basic unit of mass in the International System of Units (SI). It is a unit of mass equal to the mass of the international prototype of the kilogram, which is a platinum-iridium cylinder kept by the International Bureau of Weights and Measures in Paris. A kilogram is approximately equal to the mass of one liter of water.

The pound is a unit of mass in both the US Customary Units and the British Imperial systems of measurement. It is equal to 0.45359237 kilograms. It is also equal to 16 ounces.

Kilograms and pounds are used for measuring mass and weight, respectively. Mass is the measurement of the amount of matter in an object, while weight is the measurement of the gravitational force on an object. Mass is measured in kilograms, while weight is measured in pounds.

In conclusion, 24 kilograms is equal to 52.9152 pounds. To convert from kilograms to pounds, multiply the number of kilograms by 2.2046.

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The given matrix is in row-echelon form, but it is not in reduced row-echelon form. The given matrix is:

2 0 0 0

0 1 1 6

0 0 0 0

To determine if it is in row-echelon form, we need to check the following conditions:

1. All rows consisting entirely of zeros are at the bottom: In the given matrix, the third row consists entirely of zeros and is located at the bottom, so this condition is satisfied.

2. The first nonzero entry in each row, called a leading entry, is always strictly to the right of the leading entry in the row above it: In the given matrix, the leading entry in the second row is 1, which is to the right of the leading entry in the first row (which is 2). So this condition is satisfied.

3. Any rows of all zeros are at the bottom: Again, in the given matrix, the third row consists entirely of zeros and is located at the bottom, satisfying this condition.

Therefore, the given matrix is in row-echelon form.

To determine if it is also in reduced row-echelon form, we need to check one additional condition:

4. Each leading entry is 1, and each leading 1 is the only nonzero entry in its column: In the given matrix, the leading entries are 2 and 1, which are not equal to 1. Therefore, the matrix is not in reduced row-echelon form.

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Answer:787.5

Step-by-step explanation:

As attached

The correct description for the distribution of the sample proportion of adults in the sample who don't have health insurance is X - B(120, 0.15).

B(120, 0.15) represents a binomial distribution with parameters n = 120 (the sample size) and p = 0.15 (the population proportion of adults without health insurance).

The binomial distribution is appropriate in this case because we have a fixed sample size and each individual in the sample can either have health insurance (success) or not have health insurance (failure). The sample proportion of adults without health insurance can be calculated by dividing the number of adults without health insurance by the total sample size.

Therefore, the correct description is X - B(120, 0.15).

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Answer: Therefore, the correlation coefficient, r, is 0.877. This indicates a strong positive correlation between age and fundamental frequency in hyena giggles.

Step-by-step explanation:

To calculate the correlation coefficient, r, we need to follow these steps:

Step 1: Calculate the sum of squares of age.

Step 2: Calculate the sum of squares for fundamental frequency.

Step 3: Calculate the sum of products between age and frequency.

Step 4: Compute the correlation coefficient, r.

Here are the calculations:

Step 1: Calculate the sum of squares of age.

2^2 + 2^2 + 2^2 + 6^2 + 9^2 + 10^2 + 13^2 + 10^2 + 14^2 + 14^2 + 12^2 + 7^2 + 11^2 + 11^2 + 14^2 + 20^2 = 1066

Step 2: Calculate the sum of squares for fundamental frequency.

840^2 + 670^2 + 580^2 + 470^2 + 540^2 + 660^2 + 510^2 + 520^2 + 500^2 + 480^2 + 400^2 + 650^2 + 460^2 + 500^2 + 580^2 + 500^2 = 1990600

Step 3: Calculate the sum of products between age and frequency.

2840 + 2670 + 2580 + 6470 + 9540 + 10660 + 13510 + 10520 + 14500 + 14480 + 12400 + 7650 + 11460 + 11500 + 14580 + 20500 = 190080

Step 4: Compute the correlation coefficient, r.

r = [nΣ(xy) - ΣxΣy] / [sqrt(nΣ(x^2) - (Σx)^2) * sqrt(nΣ(y^2) - (Σy)^2))]

where n is the number of observations, Σ is the sum, x is the age, y is the fundamental frequency, and xy is the product of x and y.

Using the values we calculated in steps 1-3, we get:

r = [16190080 - (106500)] / [sqrt(162066 - 106^2) * sqrt(161990600 - 500^2)]

= 0.877

Therefore, the correlation coefficient, r, is 0.877. This indicates a strong positive correlation between age and fundamental frequency in hyena giggles.

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Answer: Let's assume that the distance between the lighthouse and point B is x. Then, we can use the tangent function to set up an equation involving the angles of elevation:

tan(8°) = (height of lighthouse) / (distance from A to lighthouse)

tan(5°) = (height of lighthouse) / x

Since the height of the lighthouse is the same in both equations, we can set them equal to each other:

tan(8°) = tan(5°) * (distance from A to lighthouse) / x

Solving for x:

x = (tan(5°) * 1035) / tan(8°)

x ≈ 14416

So the distance from point A to point B is approximately 14,416 feet.

Step-by-step explanation:

Factor: In analysis of variance, a factor is an independent variable that is used to categorize or group the data. It is a variable that is believed to have an effect on the dependent variable.

Level: A level of a factor is a specific value or category of the independent variable that is being studied. For example, if the factor is "age," the levels might be "20-30 years," "31-40 years," etc.

Two-factor study: A two-factor study is a research study that has two independent variables, or factors, that are being studied simultaneously. This allows the researcher to examine the effects of each variable on the dependent variable, as well as any interactions between the two independent variables. For example, a two-factor study might examine the effects of both age and gender on a particular outcome variable.

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Step-by-step explanation:

Total Students = 450 (Everything within the sample/rectangle)

Choir = 110

Band = 240

Both = 60 (Where both circles overlap)

110+240+60 = 410 (Total students in Choir or Band or Both)

410 ÷ 450 = 0.91111111

Therefore the probability that a student chosen at random is in the choir, band or both out of the sample is 91%

Consider that the slope of a line passing through two given points, is given by the formula,

So the slope of line passing through the points (5,4) and (0,1) is calculated as,

Thus, the slope of straight lines passing through (5,4) and (0,1) is 3/5 .

Similarly, the slope of line passing through the points (3,7) and (-2,2) is calculated as,

Thus, the slope of line passing through the points (3,7) and (-2,2) is 1 .

The value of n is 15.The width of the right angled triangle is n + 3 cm while its height is 5 cm less than its width. We have to find the value of n.

Given that,Area of the right angled triangle = 120 cm²Width of the triangle = n + 3 cm Height of the triangle = width - 5 cm Area of the right angled triangle = (1/2) × base × height. Here, the base of the triangle is the width of the triangle, and the height of the triangle is the height of the triangle.So,120 cm² = \((1/2) × (n + 3) × (n + 3 - 5)120 cm² = (1/2) × (n + 3) × (n - 2)\)

Multiplying both sides by 2,240 cm² = (n + 3) × (n - 2)

Expanding the right hand side of the equation,n² + n - 6 = 240n² + n - 246 = 0

Solving for n by using quadratic formula,we get,n = ( -1 + √(1 + 4 × 246 × 1))/2 × 1   or n = ( -1 - √(1 + 4 × 246 × 1))/2 × 1n = 15 or n = - 16Discarding the negative value of n, the value of n is 15 cm.

The width of the right angled triangle is n + 3 cm while its height is 5 cm less than its width. We have to find the value of n.Given that,Area of the right angled triangle = 120 cm²Width of the triangle = n + 3 cmHeight of the triangle = width - 5 cmArea of the right angled triangle = (1/2) × base × heightHere, the base of the triangle is the width of the triangle, and the height of the triangle is the height of the triangle.So,120 cm² = (1/2) × (n + 3) × (n + 3 - 5)120 cm² = (1/2) × (n + 3) × (n - 2)Multiplying both sides by 2,240 cm² = (n + 3) × (n - 2)Expanding the right hand side of the equation,n² + n - 6 = 240n² + n - 246 = 0Solving for n by using quadratic formula,we get,n = ( -1 + √(1 + 4 × 246 × 1))/2 × 1   or n = ( -1 - √(1 + 4 × 246 × 1))/2 × 1n = 15 or n = - 16Discarding the negative value of n, the value of n is 15 cm. Therefore, the value of n is 15.

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Need 30,529.22 pounds to buy a Lexus that costs 5,000,000 yen

To buy a Lexus that costs 5,000,000 yen, you would first need to convert the yen to pounds. You can find the updated exchange rate online.

And based on March 2, 2023, here is the current exchange rate for 1 yen = 0.0061 pounds. Therefore, you would need to multiply the cost of the Lexus in yen by the exchange rate to get the cost in pounds:

5,000,000 yen * 0.0061 pounds = 30,529.22 pounds

So you would need 30,529.22 pounds to buy a Lexus that costs 5,000,000 yen.

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Answer:

Figure C

Step-by-step explanation:

Beucase it does a reflection across the y axis

Answer:

1. B and F

2. A and G

3. 0

4. B and D, C and E, D and F, E and G

Step-by-step explanation:

1. Since there are two ways to go from point D, I went in both directions, so there appear to be 2 answers.

2. Same explanation as in problem 1.

3. I counted the same number of points from both A and G until I came upon one point, and then I looked at the number which the letter was above.

4. since A - C is a segment that there are lots of in this problem, there are multiple answers.

Tell me if I'm wrong :)

The context that could not be modeled by a linear function is: a town's population shrinks at a rate of 7.9% every year.

A linear function represents a relationship where the change in one variable is directly proportional to the change in another variable. In the given contexts:

However, the context of a town's population shrinking at a rate of 7.9% every year cannot be modeled by a linear function. The population change in this scenario is not constant but rather decreases by a percentage each year. The population decline would follow an exponential or logarithmic function, as the rate of decrease is proportional to the existing population size.

Out of the given contexts, the town's population shrinking at a rate of 7.9% every year cannot be accurately modeled by a linear function. Linear functions are suitable for situations with constant rates of change, while exponential or logarithmic functions are better suited for representing population changes that involve percentages or growth/decay rates.

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Answer: 3.46g/L= 3,460ml

Step-by-step explanation: 3.46Lx1,000=3,460ml

Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

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The angles of the given triangle are 136°,24°, and 20°.

Given that a triangle has angles as  4y°,(y-10)°, and 20° and asked to find out the angles of the given triangle

The sum of the angles of the triangle =180°

⇒4y°+(y-10)° + 20°=180° { adding the given angles and equating it to 180° as the sum of the angles in the triangle is 180°}

⇒5y+10=180°.{added all the given angles and equated it to 180°}

⇒5y=170°

⇒y=34°

⇒4y=136°, (y-10)°=24° and 20°

Therefore the angles of the given triangle are  136°,24°, and 20°.

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