Income (in thousands rounded to nearest thousand) 35 8 10 23 24 15 8 8 16 9 26 10 40 11 20 12 7 13 23 14 7 15 8 16 19 17 15 18 25 19 9 20 8 21 22 22 36 23 31 24 28 25 18 For the income levels of famil

Answer:

LG=LE=LF since it is the centroid. So I think it would also be 9.

Step-by-step explanation:

9.

it is a rectangle. 18m × 4m = 72 m²

the paving costs $35 per m², and we have 72 m², so it does not take a genius to figure out what to do next ...

right : we multiply 35 by 72

35×72 = $2520

10.

how much volume is a liter ?

a liter fits into a cube of 10cm side length.

and 1 meter = 100 cm = 10×10cm.

so, 1 m³ = 10×10×10 = 1000 such cubes of 10cm side length = 1000 liters.

the pool is 5 m × 15 m × 1.5 m = 112.5 m³ = 112500 liters

we need 2 kg salt for every 10000 liters water, so we have how many units of 10000 liters in the pool ?

112500 / 10000 = 11.25

so, we need

11.25 × 2 = 22.5 kg salt

11.

12 seconds = 1/5 of a minute.

so, batman runs at 3 km / min (= 60×3 km/hour = 180 km/h - not possible in real life for any human being, but let's play ...) for 12 seconds = 1/5th of a minute, and so he runs 3km/5 = 600 meters in that time.

that means he has 2km - 600m = 1400m left to run in the 2 km race.

it takes him 1400/3000th of a minute (3000 m would take him the full minute)

1400 m × minute / 3000 m = 14/30 = 7/15 minutes

1/15th minute = 60 seconds / 15 = 4 seconds.

so, 7/15th of a minute = 7×4 seconds = 28 seconds.

the bionic woman runs the full 2000 m with 5 km / minute.

it takes her 2000/5000th of a minute

2000 m × minute / 5000 = 2/5th of a minute.

1/5th of a minute is 60 seconds / 5 = 12 seconds.

so, 2/5th of a minute is 12×2 = 24 seconds.

therefore, the bionic woman wins by 4 seconds (24 seconds vs. 28 seconds).

12.

there is enough food for 150 students for 5 days = 150×5 =750 "food units".

therefore, if there were only 100 students, the food would last 750/100 = 7.5 days.

and if the food runs out after 4 days it means there are

750/4 = 187.5 students (how much sense that makes to have half a student ...).

13.

x = the workload to be done

Michelle's work speed is x/6 days

Danielle's work speed is x/4 days

on each day working together they achieve

1× x/6 + 1× x/4 of the total work load.

that is

2x/12 + 3x/12 = 5x/12

so, they need 5x/12 × a days to finish the whole x.

5x/12 × a = x

5/12 × a = 1

5a = 12

a = 12/5 = 2.4 days to finish the whole work when working together.

Answer:

a and c are opposite hope it helps

We know

\(\boxed{\sf cos\theta=\dfrac{B}{H}}\)

\(\\ \sf\longmapsto cos\theta=\dfrac{8}{16}\)

\(\\ \sf\longmapsto cos\theta=\dfrac{1}{2}\)

\(\\ \sf\longmapsto cos\theta=cos60\)

\(\\ \sf\longmapsto \theta=60\)

Answer:

C. \( \sqrt{x + 2} - \sqrt{x}\)

Step-by-step explanation:

\( \frac{2}{ \sqrt{x} + \sqrt{x + 2} } \\ \\ = \frac{2}{ (\sqrt{x} + \sqrt{x + 2}) } \times \frac{(\sqrt{x} - \sqrt{x + 2})}{(\sqrt{x} - \sqrt{x + 2})} \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ ({ \sqrt{x} )}^{2} - {( \sqrt{x + 2} )}^{2} } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ x - {( x + 2)} } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ x - x - 2 } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ - 2 } \\ \\ = - ( \sqrt{x} - \sqrt{x + 2}) \\ \\ \frac{2}{ \sqrt{x} + \sqrt{x + 2} } = \purple{ \bold{\sqrt{x + 2} - \sqrt{x} }}\)

Answer:

5

Step-by-step explanation:

because you would have to do 15/3, which is 5

the one doesnt count because it has no value

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The correct phrase commonly used to word conditional probabilities is "given that." This phrase explicitly indicates the condition or event on which the probability calculation is based and emphasizes the dependence between events in the probability calculation.

Let's discuss each option in detail to understand why the correct phrase is "given that" when wording conditional probabilities.

"Dependent": The term "dependent" refers to the relationship between events, indicating that the occurrence of one event affects the probability of another event. While dependence is a characteristic of conditional probabilities, it is not the specific wording used to express the conditionality.

"Given that": This phrase explicitly states that the probability is being calculated based on a specific condition or event being true. It is commonly used to introduce the condition in conditional probabilities. For example, "What is the probability of event A given that event B has already occurred?" The phrase "given that" emphasizes that the probability of event A is being evaluated with the assumption that event B has already happened.

"Either/or": The phrase "either/or" generally refers to situations where only one of the two events can occur, but it does not convey the conditional nature of probabilities. It is often used to express mutually exclusive events, where the occurrence of one event excludes the possibility of the other. However, it does not provide the specific condition on which the probability calculation is based.

"Mutually exclusive": "Mutually exclusive" refers to events that cannot occur simultaneously. While mutually exclusive events are important in probability theory, they do not capture the conditionality aspect of conditional probabilities. The term implies that if one event happens, the other cannot occur, but it does not explicitly indicate the specific condition on which the probability calculation is based.

In summary, the correct phrase commonly used to word conditional probabilities is "given that." It effectively introduces the condition or event on which the probability calculation is based and highlights the dependency between events in the probability calculation.

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Answer:

Lateral surface area = 360 cm²

Step-by-step explanation:

Given:

Dimension of small rectangle = (12 cm by 10 cm)

Find:

Lateral surface area

Computation:

Length =√9² + 12²

Length = √81 + 144

Length = 15 cm

Dimension of big rectangle = (15 cm by 10 cm)

Lateral surface area = Area of small rectangle + Area of big rectangle + Area  of slop rectangle

Lateral surface area = (L1 x B1) + (L x B) + (l x b)

Lateral surface area = (12 x 10) + (15 x 10) + (10)(9)

Lateral surface area = 120 cm² + 150 cm² + 90 cm²

Lateral surface area = 360 cm²

Answer:

D. 29 I just know the awnser sorry

To find the value of f(−2), we substitute −2 for x in the function f(x):

f(−2) = 4(-2)^2 − 3(-2) + 7

= 4(4) − 3(2) + 7

= 16 − 6 + 7

= 11

Therefore, f(−2) = 11.

Answer:

yeah it is -3y=-22+7/3 so y > 5

Step-by-step explanation:

The equation that represents this situation is p = 4 + 5d

Algebraic expressions are known as mathematical expressions made up of:

From the information given, we have that:

The equation this represents is:

p = 4 + 5d

Thus, the equation that represents this situation is p = 4 + 5d

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Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

14-8 is 6

Hope this answer helps

The future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

To calculate the future value (FV) of an investment of $10,000 at an interest rate of 6% per year, compounded annually, after 7 years, we can use the formula:

FV = P(1 + r)^n

Where:

P is the principal amount (initial investment) = $10,000

r is the interest rate per period = 6% = 0.06

n is the number of periods = 7

Plugging in the values, we have:

FV = $10,000(1 + 0.06)^7

Calculating the expression inside the parentheses first:

(1 + 0.06)^7 ≈ 1.41851

Now, multiply the principal amount by the calculated expression:

FV ≈ $10,000 * 1.41851 ≈ $14,185.10

Therefore, the future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

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solve f ( x ) = g ( x ) for x is 3.093

To solve f(x) = g(x) for x, we simply set the two equations equal to each other:
6(2.9)x = 52(1.4)x
Next, we can simplify by dividing both sides by (1.4)x:
6(2.9) / 52 = 1.4x / 1.4x
Simplifying further, we get:
0.3228 = 1
This is not a true statement, so there is no value of x that would make f(x) equal to g(x). Therefore, f(x) and g(x) do not intersect and there is no solution for x.

To solve f(x) = g(x) for x, we need to set the two functions equal to each other:

6(2.9)x = 52(1.4)x

Now, we want to isolate x. To do that, we can first divide both sides by 6:

(2.9)x = (52/6)(1.4)x

Simplify the right side:

(2.9)x = (8.67)(1.4)x

Now, we can use logarithms to solve for x. Take the natural logarithm (ln) of both sides:

ln((2.9)x) = ln((8.67)(1.4)x)

Use the logarithm property to bring down the exponent:

x*ln(2.9) = ln(8.67) + x*ln(1.4)

Isolate x by moving the x terms to one side:

x*ln(2.9) - x*ln(1.4) = ln(8.67)

Factor out x:

x(ln(2.9) - ln(1.4)) = ln(8.67)

Finally, divide by (ln(2.9) - ln(1.4)) to find x:

x = ln(8.67) / (ln(2.9) - ln(1.4))

Use a calculator to find the numerical value of x:
x ≈ 3.093

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Answer:

156

Step-by-step explanation:

204/7 = 12

12 x 13 = 156

Answer:

26-36

Step-by-step explanation:

If I'm not mistaken, the range of milage should be 26-36 mph, because we know that the maximum you will deviate from your avergae is 5 in either direction. So, you can subtract 5 from 31 (26) and add 5 to 31 (36) to get the range.

Hope this helps! :)

Answer: -41

Step-by-step explanation:

Using PEMDAS, you do parenthesis

(14 - 23) = -9

Then multiply, 5 x -9 = -45

Then divide, 8/2 = 4

Then add, -45 + 4 = -41

Answer:

See below

Step-by-step explanation:

She rotated clockwise but needs to go counterclockwise. It should be (-4, 2)

Answer:

1 batch

Step-by-step explanation:

Farah needs 4 and 4/5 pounds of tomatoes & and additional 5 and 3/5 pounds of tomatoes to make soup.

4.8 + 5.6 = 10.5 pounds per soup

10.5*2 = 21 > 20 pounds

Farah would need one more pound of tomatoes in order to make 2 batches of soup. Therefore she can only make 1 batch.

The length of the deep end is 12 feet of the swimming pool.

Given: Area of the swimming pool is 210 square feet

Width of the pool = 10 feet

The length of the shallow end is 9 feet and the length of the deep end is d.

To find the value of d.

Let's solve the problem.    

The area of the swimming pool is 210

The width is 10

The deep end length is d

The shallow end length is 9

The total length of the swimming pool = The length of the deep end + The length of the shallow end

=> d + 9

Therefore, the total length of the swimming pool is d + 9

The surface of the swimming pool is rectangular, so

The area of rectangle = width × length

Therefore,

area of swimming pool = width of the pool × length of the swimming pool

=> 210 = 10 × (9 + d)

or 10 × (9 + d) = 210

Dividing both sides by 10:

10 × (9 + d) / 10 = 210 / 10

9 + d = 21

Subtracting 9 on both sides:

9 + d - 9 = 21 - 9

d = 12

Therefore the length of the deep end is 12 feet

Hence the length of the deep end is 12 feet of the swimming pool.

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The length of the deep end of the swimming pool is 12 feet.

We are given that:

The Area of the swimming pool = 210 square feet

width of the swimming pool = 10 feet

Length of shallow end = 9 feet

Let the length of the deep end be d.

Total length of the swimming pool = length of deep end + length of shallow end =  d + 9

Area of swimming pool = width × length

Substituting the values, we get that:

210 = 10 × (9 + d)

9 + d = 21

d = 12

Therefore the length of the deep end of the swimming pool is 12 feet.

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The model can then be used to determine the relationship between the two variables and make predictions about future values of the dependent variable based on the independent variable.

I can suggest a general process for selecting a topic and relevant data for a simple linear regression model. First, choose a topic or question of interest, for example, "Does the amount of exercise affect the quality of sleep?" or "Is there a relationship between the number of hours spent studying and exam scores?" Next, identify relevant datasets that contain at least two numerical variables, one for the dependent variable (e.g., quality of sleep or exam score) and one for the independent variable (e.g., amount of exercise or number of hours spent studying). Datasets can be found on websites such as Kaggle or through academic research databases.

Once the dataset is selected, the data must be cleaned and prepared for analysis. This includes checking for missing values, outliers, and ensuring that the variables are in the correct format for analysis.

Finally, a simple linear regression model can be constructed using statistical software such as R or Python.

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Answer:

(top to bottom)104.04...6800...272...3

Step-by-step explanation:

68 can go into 7075, 104 times.

68 goes into 275 4 times.

275-272=3

Answer:

we need a picture of the triangle babe

The circumference of the circle is approximately 54.1 yards.

Circumference is a term used to describe the distance around the edge of a circular object. It is a measurement of the total length of the circle's perimeter. The circumference of a circle is calculated by multiplying its diameter by the mathematical constant pi (π), which is approximately equal to 3.14.

The formula for calculating circumference is C=πd or C=2πr, where C represents the circumference, d represents the diameter, and r represents the radius of the circle. The diameter is the distance across the circle, passing through its center, while the radius is the distance from the center to the edge.

Circumference is a fundamental concept in geometry and is used to solve various real-world problems, such as calculating the distance traveled by a rotating wheel or finding the length of a wire needed to make a circular ring. Additionally, many physical phenomena, such as the movement of planets and the orbits of electrons, can be described using the concept of circumference.

The circumference of a circle with a radius of 8.6 yards can be found using the formula:

C = 2πr

where r is the radius and π is the mathematical constant approximately equal to 3.14.

Substituting the given value of the radius, we get:

C = 2 × 3.14 × 8.6

C = 54.088

Rounding this to the nearest tenth, we get:

C ≈ 54.1 yards

Therefore, the circumference of the circle is approximately 54.1 yards.

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A good fitting multiple regression model should have the following characteristics:

1. High Adjusted R-squared value: The adjusted R-squared value should be high, indicating that the model accounts for a large proportion of the variation in the dependent variable that is not explained by the independent variables.

2. Low p-values: The p-values of the coefficients should be low, indicating that the independent variables are statistically significant in explaining the variation in the dependent variable.

3. Low residual standard error (RSE): The RSE should be low, indicating that the model's predictions are close to the actual values.

4. No multicollinearity: There should be no multicollinearity among the independent variables, meaning that they should not be highly correlated with each other.

5. Homoscedasticity: The residuals should be homoscedastic, meaning that they should have constant variance across all levels of the independent variables.

6. Normality of residuals: The residuals should be normally distributed, indicating that the model's predictions are unbiased.

Overall, a good fitting multiple regression model should accurately predict the dependent variable using the independent variables while satisfying the statistical assumptions of the regression model.

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Answer: A: 18 + 45m

Step-by-step explanation:

9(2+5m) = (9 x 2) + (9 x 5m) which gives you: 18 + 45m

Answer:

I think it's 18+45m

Step-by-step explanation:

I just multiplied 9x2 and 9x5.