An airplane had a total of 387 seats. The number of coach class seats is 2 more than 4 times the number of first class seats. How many of each type of seat are there on the plane?

If 5 books of equal weight, weigh 1.755 kilograms, then the number of books will weight 1.404 kilogram is 4 books

The 5 books are equal weights

The weight of 5  books = 1.755 kilograms

Then the weight of one book = The weight of 5 books / 5

Substitute the values in the equation

The weight of one book = 1.755/5

= 0.351 kilograms

To find the number of books we have to use division again

The number of books will weight 1.404 kilograms = 1.404 / The weight of one book

=1.404/0.351

= 4  books

Hence, If 5 books of equal weight, weigh 1.755 kilograms, then the number of books will weight 1.404 kilogram is 4 books

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Step-by-step explanation:

When you reflect a point across the y-axis, the x-coordinate gets multiplied by -1 and the y-coordinate remains the same.

A(-3, -2) => B(3, -2).

The number that is filled in the blank is 3.

Answer:

x=10

Step-by-step explanation:

5/sin(30)=10

Answer:

1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8  

Sorry I can do more if needed

Step-by-step explanation:

Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.

To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.

Total weekly cost = Fixed rate + Insurance cost + Gas cost

Total weekly cost = $49.00 + $14.00 + $12.00

Total weekly cost = $75.00

The cost for Thanh per month (four weeks) = Total weekly cost × 4

Cost for Thanh per month (four weeks) = $75.00 × 4

Cost for Thanh per month (four weeks) = $300.00

Therefore, Thanh's cost per month (four weeks) will be $300.00.

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Answer:

yr question is not here!!!!!!!!!!

Answer:

7 + 1 + 1 + 1 = 10

Step-by-step explanation:

This question is not very clear as to what is required, or any possible limitations. One possible solution is listed below, hope it does help.

Using the numbers 1, 6, and 7, you can get the number 10 through the following equation:

7 + 1 + 1 + 1 = 10

By adding 7 with three instances of 1, you obtain 10.

Answer: 11.36

Step-by-step explanation:

↓ Please look in the screenshot below...

Answer:

288 inches = 8 yards

Step-by-step explanation:

Answer:

\(6 . \: 8 \: yards \: = \: 288 \: inches\)

\(8. \: 18 \: feets \: = \: 216 \: inches\)

\(10. \: \frac{1}{3} \: yards \: = 12 \: inches\)

Step-by-step explanation:

6. 1 yard = 36 inches

8 yards = 36 × 8

= 288

8. 1 feet = 12 inches

18 feets = 12 × 18

= 216 inches

10. 1/3 into decimal = 0.33333333333

1/3 yards = 0.33333333333 × 36

= 12 inches

Answer:

Brainliest!

Step-by-step explanation:

thats not possible but x<1

x< 1

means tha,t a number (x) is less than one, means its not one but less than it

so that includes 0,-1,-2,-3,-3.01,-3.0001,-4, etc

To find the mean of a set of numbers, you need to add up all the numbers and then divide by the number of numbers in the set.

In this case, the mean of the four numbers is 12, which means the sum of those four numbers is 4 × 12 = 48. The mean of the other six numbers is 22, which means the sum of those six numbers is 6 × 22 = 132. The sum of all ten numbers is therefore 48 + 132 = 180.

To find the mean of all ten numbers, we need to divide the sum by the number of numbers, which is \(\frac{180}{10}\) = 18. Therefore, the mean of all ten numbers is 18.

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

13 & 7.

Hope this helps.

The standard form of the equation for the circle is\((x - 4)^2 + (y - 3)^2 = 2.\)

To find the standard form of the equation for the circle, we need to determine the center and radius of the circle using the given information.

The center of the circle can be found by taking the average of the x-coordinates and the y-coordinates of points A and B.

Center:

x-coordinate = (3 + 5) / 2 = 4

y-coordinate = (2 + 4) / 2 = 3

The center of the circle is (4, 3).

Next, we need to find the radius of the circle.

The radius is the distance between the center of the circle and any point on its circumference.

In this case, we can use the distance formula between the center (4, 3) and point B (5, 4).

Radius:

\(r = \sqrt{((5 - 4)^2 + (4 - 3)^2)}\)

= \(\sqrt{(1 + 1)}\)

\(=\sqrt{(2)}\)

The radius of the circle is \(\sqrt{(2).}\)

Now we can write the standard form of the equation for the circle, which is:

\((x - h)^2 + (y - k)^2 = r^2\)

Plugging in the values we found:

\((x - 4)^2 + (y - 3)^2 = 2\)

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The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.

To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:

30% of $86 = 0.3 x $86 = $25.80

Therefore, Pedro will need to pay $25.80 for shipping and handling.

The rational function that is graphed above include the following: A. \(F(x)=\frac{1}{(x-1)(x-5)}\).

In Mathematics and Geometry, a rational function simply refers to a type of function which is expressed as a fraction.

In order to graph any rational function, you should determine the values for which it is undefined. This ultimately implies that, a function is considered as undefined when the value of the denominator is equal to zero, which represents vertical asymptote lines.

When x = 1, the rational function becomes undefined;

F(x) = 1/(x - 1)(x - 5)

F(x) = 1/(1 - 1)(1 - 5)

F(x) = 1/(0)(-4)

F(x) = undefined.

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Answer:

4

Step-by-step explanation:

The slope-intercept form of the equation is y = (4/5)x -1.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that slope=4/5 passing through (5,3). The equation of the line can be written as,

y = mx + c

3 = ( 4 x 5/5) + c

c =-1

The equation will be:-

y = mx + c

y = (4/5)x -1

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Answer:

525

Step-by-step explanation:

This is a question involving combinatorics

The number of ways of choosing a subset k from a set of n elements is given by \({n \choose k}\) which evaluates to \(\frac{n!}{k!(n-k)!}\)

n! is the product n × (n-1) × (n-2) x....x 3 x 2 x 1

For example,

4! = 4 x 3 x 2 x 1 = 24

3! = 3 x 2 x 1 = 6

Since we have to choose 4 boys from a class of 6 boys, the total number of ways this can be done is

\({6 \choose 4} = \frac{6!}{4!(6-4)!} = \frac{6!}{4!2!}\)

Note that 6! = 6 x 5 x 4 x 3 x 2 x 1 and 4 x 3 x 2 x 1  is nothing but 4!

So the numerator can be re-written as 6 x 5 x (4!)

We can rewrite the expression \(\frac{6!}{4!2!} \text{ as } \frac{6.5.4!}{4!2!}\)

Cancelling 4! from both numerator and denominator gives us the result

as  (6 × 5)/2! = 20/2 = 15 different ways of choosing 4 boys from a class of 6 boys

For the girls, the number of ways of choosing 3 girls from a class of 7 girls is given by

\({7 \choose 3} = \frac{7!}{3!(7-3)!} = \frac{7!}{3!4!}\)

This works out to (7 x 6 x 5 )/(3 x 2 x 1)  (using the same logic as for the boys computation)

= 210/6 = 35

So total number of committees of 4 boys and 3 girls that can be formed from a class of 6 boys and 7 girls = 15 x 35 = 525

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

In a geometric sequence,

The third term is 100 and the eighth term is 3.125.

Now,

We know that;

The nth term of geometric sequence is,

⇒ \(T_{n} = a r^{n - 1}\)

Hence, The third term is;

⇒ \(T_{3} = a r^{3 - 1} = 100\)

⇒ \(a r^{2} = 100\)   ..(i)

And, The eighth term is,

⇒ \(T_{8} = a r^{8 - 1} = 3.125\)

⇒ \(a r^{7} = 3.125\)   ..(ii)

Divide equation (ii) by (i), we get;

⇒ ar⁷ / ar² = 3.125/100

⇒ r⁷ / r² = 3125 / 100000

⇒ r⁷⁻² = 3125 / 100000

⇒ r⁵ = 3125 / 100000

⇒ r = 5/10

Thus, The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

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Answer:

\( \sqrt{7x + 2} \\ \)

for answer please see

The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

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Answer:

∠ D ≈ 69.0°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos D = \(\frac{adjacent}{hypotenuse}\) = \(\frac{FD}{DE}\) = \(\frac{33}{92}\) , then

∠ D = \(cos^{-1}\) ( \(\frac{33}{92}\) ) ≈ 69.0° ( to the nearest tenth )

The function of the absolute value is always positive the correct answer would be option (B).

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is absolute value?

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

We have to determine the statement best describes the function.

We have been given that the graph represents the absolute value parent function.

Since the parent function's graph with an absolute value that is always positive.

Therefore, the graph of the absolute value parent function would be always positive.

Hence, the correct answer would be option (B)

Answer:

x = 37

Step-by-step explanation:

The angles are equal so set the equations equal to each other:

3x - 24 = 2x + 13

3x - 2x = 13 + 24

x = 37

Answer:

x = 37

Step-by-step explanation:

Since the two angles are congruent

2x + 13 = 3x - 24

solve using inverse operations and simplifying

2x + 13 = 3x - 24

      +24       +24

2x + 37 = 3x

-2x          -2x

37 = x