PLEASE HURRY

What is the relative frequency for females in the age group 60-69?

Answer:

The crisps cost 1.15 pounds

Step-by-step explanation:

We can write this in the form of an equation:

4×2.40+1.20+3x=20-5.75

9.6+1.20+3x=14.75

10.8+3x=14.75

3x=14.75-10.8

3x=3.45

x=1.15

Hope this helps!

The correct form for the quotient and remainder, written as partial fractions, is A + B/(x + 3) + C/(2x - 7).

Option A is the correct answer.

We have,

To express (8x³- 2x² - 67x - 24) / (2x² -x - 21) as partial fractions, we need to factor the denominator.

The denominator factors to (2x - 7)(x + 3).

Therefore, we can write:

(8x³ - 2x² - 67x - 24) / (2x² -x - 21) = A/(2x - 7) + B/(x + 3)

To find A and B, we need to solve for them using the method of equating coefficients.

Multiplying both sides by the denominator (2x - 7)(x + 3) gives:

8x³ - 2x² - 67x - 24 = A(x + 3) + B(2x - 7)

Expanding the right-hand side and collecting like terms gives:

8x³ - 2x² - 67x - 24 = (A + 2B)x + (3A - 7B)

We now have two equations with two unknowns:

A + 2B = 8

3A - 7B = -67

Solving for A and B, we get:

A = -19/5

B = 54/5

Thus,

The correct form for the quotient and remainder, written as partial fractions, is:

(8x³ - 2x² - 67x - 24) / (2x² -x - 21) = -19/5/(2x - 7) + 54/5/(x + 3)

A + B/(x + 3) + C/(2x - 7)

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

After answering the presented question, we can conclude that As a result, the logarithmic equation's exponential version is: [tex]0.216 = (0.6)^3[/tex]

In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such, "How many times must a base of 10 be multiplied by itself to get 1,000?" The answer is 3 (1,000 = 10 10 10).

The logarithmic equation 3 = log 0.6 (0.216) may be recast in exponential form by applying the logarithm definition, which asserts that if y = log a(x), then x = ay.

In this instance, we have:

[tex]3 = log 0.6 (0.216) (0.216)[/tex]

This can be rephrased as:

[tex]0.216 = (0.6)^3[/tex]

As a result, the logarithmic equation's exponential version is:

[tex]0.216 = (0.6)^3[/tex]

To know more about logarithm visit:

https://brainly.com/question/30085872

#SPJ1

1.) For drop down number 1 The variable, [tex]g[/tex], represents  Is A. "✔ the number of grapes Graciella had."

2.) For drop down number 2 The equation that correctly models the problem is A. "[tex]g/6 = 16[/tex]."

3.) For the drop down number 3 To undo what has been done to the variable Is C, "multiply by 6" on both sides of the equation.

4.) For the drop down number 4 The solution of the equation is D, [tex]g = 96[/tex]

5.) For the drop down number 5 Check the solution by substituting Is D, 96 In for [tex]g[/tex] and simpilfying.

The variable, g, represents

✔ the number of grapes Graciella had

.

The equation that correctly models the problem is

✔ g/6 = 16

.

To undo what has been done to the variable,

✔ multiply by 6

on both sides of the equation.

The solution of the equation is

✔ g = 96

.

Check the solution by substituting

✔ 96

in for g and simplifying.

The mean for the data items in the given frequency distribution is 4.152

To find the mean of the data items in the frequency distribution, we need to use the formula:

Mean = (Sum of (xi * fi)) / (Sum of fi)

where xi is the midpoint of the class interval and fi is the corresponding frequency.

So, we have

Mean = (3 + 12 + 15 + 20 + 20 + 30 + 21 + 16)/(3 + 6 + 5 + 5 + 4 + 5 + 3 + 2)

Evaluate

Mean = 4.152

Hence, the mean is 4.152

Read more about mean at

https://brainly.com/question/548811

#SPJ1

Answer: B. quotient of Y and X is constant.

Step-by-step explanation:

If Y and X are proportional, it means that as one variable increases, the other variable also increases or decreases by a constant factor. Mathematically, this can be represented as Y = kX, where k is the constant of proportionality.

If we take the quotient of Y and X, we get:

Y/X = k/X

Here, we can see that the quotient of Y and X is proportional to the constant of proportionality k divided by X. Therefore, if Y and X are proportional, their quotient should be constant.

Answer: B. quotient of Y and X is constant.

Step-by-step explanation:

If Y and X are proportional, it means that as one variable increases, the other variable also increases or decreases by a constant factor. Mathematically, this can be represented as Y = kX, where k is the constant of proportionality.

If we take the quotient of Y and X, we get:

Y/X = k/X

Here, we can see that the quotient of Y and X is proportional to the constant of proportionality k divided by X. Therefore, if Y and X are proportional, their quotient should be constant.

All sides of a rhombus have equal measures, so TU = 8. Since a rhombus is a parallelogram, and the diagonals of a parallelogram bisect each other, WU = 10. The diagonals of a rhombus are also perpendicular, meaning they form right angles. Using the Pythagorean theorem, you can find the length of TX. (TX)^2 + (WX)^2 = (WT)^2. Substituting in known values, (TX)^2 + 25 = 64. Solving gives you TX = the square root of 39. TV is double the length of TX, so TV = 2 times the square root of 39.

a) Required slope of each line is 5/2.

b) Here each pair of lines are parallel to each other.

How to find slope?

To find the slope of a line passing through two points [tex](x_1,y_1) \: and \: (x_2,y_2)[/tex]

we use the formula:

slope [tex]= \frac{(y_2 - y_1)}{ (x_2 - x_1)}[/tex]

Here,

Line passing through (2,2) and (4,7):

slope = (7 - 2) / (4 - 2) = 5/2

Line passing through (-2,-2) and (2,8):

slope = (8 - (-2)) / (2 - (-2)) = 10/4 = 5/2

Line passing through (0,7) and (-2,2):

slope = (2 - 7) / (-2 - 0) = -5/-2 = 5/2

Thus, all three lines have the same slope of 5/2.

To determine whether two lines are parallel, perpendicular, or neither, we look at the slopes of the lines. If two lines have the same slope, they are parallel. If the product of their slopes is -1, they are perpendicular. Otherwise, they are neither parallel nor perpendicular.

So let's compare each pair of lines:

Line 1 and line 2:

Both lines have a slope of 5/2 but their product is not -1, so they are parallel but not perpendicular.

Line 1 and line 3:

Both lines have a slope of 5/2, but their product is not -1, so they are parallel but not perpendicular.

Line 2 and line 3:

Both lines have a slope of 5/2, but their product is not -1, so they are parallel but not perpendicular.

Learn more about slope here,

https://brainly.com/question/3605446

#SPJ1

The cost of each movie ticket will be $ 9.

We are given that Steven bought some movie tickets for $8.25 each and a box of popcorn for $5.50. He spent a total of $38.50.

So , m represents the cost of each movie ticket,

The cost of 2 movies tickets = 2m dollars,

Also, the cost of one box of popcorn = $ 6,

The total spending for 2 movie ticket and one box of popcorn as equation

= ( 2m + 6 ) dollars

According to the question;

2m + 6 = 24,

Subtract 6 on both sides;

2m = 18

Divide both sides by 2

m = 9,

Hence, the cost of each movie ticket is; $ 9.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

Answer:

Solid H

Step-by-step explanation:

Solid H is the only one that you can rotate to match all three views. Keep in mind that you ARE able to rotate the solid to fit the view, but you CANNOT change the solid's shape to fit the view.

Only H looks like a square from the top.

Answer: H

Using the Pythagorean theorem, we know that:

hypotenuse^2 = adjacent side^2 + opposite side^2

53^2 = 26^2 + opposite side^2

opposite side^2 = 53^2 - 26^2

opposite side^2 = 2025

opposite side = √2025

opposite side = 45

Therefore, the length of the opposite side is 45 cm.

The calculation is correct. You can also use the trigonometric ratio of sine to calculate the opposite side. In this case, sinθ = opposite side / hypotenuse, where θ is the angle opposite to the opposite side.

opposite side = sinθ x hypotenuse

θ = sin^-1 (opposite side / hypotenuse)

θ = sin^-1 (26/53)

θ = 30.96 degrees

opposite side = sinθ x hypotenuse

opposite side = sin(30.96) x 53

opposite side ≈ 45

Therefore, the length of the opposite side is approximately 45 cm, which is the same as our previous calculation.

To create a frequency table and histogram from the given set of numbers, we first need to determine the frequency of each value in the set.

The frequency of a value represents the number of times that value appears in the set.

The set of numbers given is {14, 14, 15, 15, 26, 28, 29, 30, 30}. We can create a frequency table by listing each unique value in the set and its frequency:

Value Frequency

14            2

15            2

26            1

28            1

29            1

30            2

From the frequency table, we can see that the most common values in the set are 14, 15, and 30, each occurring twice. The least common values are 26, 28, and 29, each occurring only once.

To create a histogram, we can use the frequency table to plot the values on the x-axis and their corresponding frequencies on the y-axis. The histogram will consist of a set of bars, where the height of each bar corresponds to the frequency of the value.

Here's how we can create the histogram:

Draw the x-axis and label it with the values in the set: 14, 15, 26, 28, 29, 30.

Draw the y-axis and label it with the frequency values from the frequency table: 0, 1, 2.

For each value in the set, draw a bar whose height corresponds to the frequency of the value.

Label each bar with the value it represents.

The resulting histogram will have six bars, one for each unique value in the set. The bars corresponding to 14, 15, and 30 will be twice as tall as the others, reflecting their higher frequency in the set. The bars corresponding to 26, 28, and 29 will be shorter, reflecting their lower frequency.

Overall, the frequency table and histogram provide a clear and concise visual representation of the distribution of values in the set, highlighting the most and least common values and their frequencies.

To learn more about histogram here:

https://brainly.com/question/30354484

#SPJ1

To convert fluid ounces to gallons, we need to divide the number of fluid ounces by the number of fluid ounces per gallon. Using the conversion factor 1 gallon/ 128 fluid ounces, we get:

1,408 fluid ounces ÷ 128 fluid ounces per gallon = 11 gallons

Therefore, 1,408 fluid ounces of water is equivalent to 11 gallons of water.

Answer:

1,408 fluid ounces of water is equivalent to 11 gallons of water.

Step-by-step explanation:

By answering the presented question, we may conclude that As a result, function the minimal average cost per case is around $92.22.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their placements, and locations where they may be found. The term "function" refers to the link between a set of inputs, each of which has an associated output. A function is a relationship between inputs and outputs that produces a single, distinct result for each input. Each function is given a domain and a codomain, or scope. The letter f is frequently used to represent functions (x). An x is used as the input. The four basic kinds of functions offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

a. The typical cost per case AC is calculated by dividing the cost function C(x) by the number of cases x:

C(x)/x = [0.00048(x 500)3 + 60,000]/x

a. To plot AC on a graphing calculator, enter the equation AC(x) = [0.00048(x 500)3 + 60,000]/x for 100 x 1000 and press enter. A U-shaped curve with a minimum point should be seen on the graph.

c. To identify the monthly caseload with the lowest average cost per case, utilise the graph from section (b) and look for the point on the curve with the lowest average cost per case.

AC(635) = [0.00048(635 − 500)^3 + 60,000]/635 ≈ $92.22

As a result, the minimal average cost per case is around $92.22.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Jai would have approximately 25 trials out of 41 that fall between 61 and 66 seconds.

We can use the normal distribution formula to find the probability of Jai's finishing time falling between 61 and 66 seconds:

z1 = (61 - 62) / 2.5 = -0.4

z2 = (66 - 62) / 2.5 = 1.6

Using a standard normal table, we can find the area under the normal curve between z = -0.4 and z = 1.6:

P(-0.4 < z < 1.6) = P(z < 1.6) - P(z < -0.4) = 0.9452 - 0.3446 = 0.6006

So the probability of Jai's finishing time falling between 61 and 66 seconds is approximately 0.6006.

To find the number of trials out of 41 that fall within this range, we multiply the probability by the number of trials:

Number of trials = 0.6006 x 41 = 24.6246 ≈ 25.

Therefore, to the nearest whole number, we can say that Jai would have approximately 25 trials out of 41 that fall between 61 and 66 seconds.

To learn more about the normal distributions;

https://brainly.com/question/29062095

#SPJ1

The probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

Let's use the formula for calculating the probability of the intersection of two events: P(A and B) = P(A) × P(B|A), where P(B|A) is the probability of event B occurring given that event A has occurred.

Let A be the event that it is raining, and B be the event that the flight is delayed. We are looking for P(A and B).

We know that:

P(A) = 0.1 (the probability that it will rain)

P(B) = 0.11 (the probability that the flight will be delayed)

P(not A and not B) = 0.88 (the probability that it will not rain and the flight will leave on time)

We can use the complement rule to find P(A or B):

P(A or B) = 1 - P(not A and not B)

P(A or B) = 1 - 0.88

P(A or B) = 0.12

Now we can use the formula for the intersection of two events:

P(A and B) = P(A) × P(B|A)

We know that P(A) = 0.1, and we need to find P(B|A), the probability of the flight being delayed given that it is raining.

We can use Bayes' theorem to find P(B|A):

P(B|A) = P(A and B) / P(A)

P(B|A) = (P(A) × P(B|A)) / P(A)

P(B|A) = P(B and A) / P(A)

We can rearrange this to get:

P(A and B) = P(B|A) × P(A)

Substituting the values we know:

P(B|A) = P(A and B) / P(A)

0.11 = P(A and B) / 0.1

P(A and B) = 0.11 × 0.1

P(A and B) = 0.011

Therefore, the probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

to know more about probability

brainly.com/question/30034780

#SPJ1

Answer:

  a) x = 1 ± (3/7)√7

  b) (-∞, -5) ∪ [-2, 5) ∪ [6, ∞)

Step-by-step explanation:

You want solutions to the relations ...

We like to solve these in the form f(x) = 0. It helps avoid extraneous solutions.

  [tex]7+\dfrac{1}{x} -\dfrac{1}{x-2}=0\\\\\\\dfrac{7x+1}{x}-\dfrac{1}{x-2}=0\\\\\\\dfrac{(7x+1)(x-2)-x}{x(x-2)}=0\\\\\\ \dfrac{7x^2-14x-2}{x(x-2)}=0[/tex]

The roots of the numerator quadratic are found by ...

  x² -2x -2/7 = 0 . . . . . divide by 7

  x² -2x +1 -9/7 = 0 . . . . add and subtract 1

  (x -1)² = 9/7 . . . . . . . . . . write as a square, add 9/7

  x -1 = ±√(9·7/49) = ±(3/7)√7 . . . . take the square root

  x = 1 ± (3/7)√7

Rational inequalities are best solved by identifying the roots of numerator and denominator. These tell you where the function changes sign. The end behavior of the rational function tells you what the signs are changing from.

  [tex]\dfrac{x^2-4x-12}{x^2-25}\ge 0\\\\\\\dfrac{(x+2)(x-6)}{(x+5)(x-5)}\ge0[/tex]

This has a horizontal asymptote at y=1 for |x|→∞. It has vertical asymptotes at x=±5.

The sign changes occur at x ∈ {-5, -2, 5, 6}. The rational expression is positive (approaching +1) for x < -5 and for x > 6. It is negative in the adjacent intervals, so positive again for -2 < x < 5.

The inequality is satisfied for ...

To simplify (√6-i)^8, we can start by expressing the complex number in rectangular form:

Let z = √6 - i = √6 + (-1)i

Then, we can calculate the modulus and argument of z as follows:

|z| = sqrt((√6)^2 + (-1)^2) = sqrt(6 + 1) = sqrt(7)

Arg(z) = arctan(-1/√6) = -0.165148

Now, we can express z in exponential form:

z = |z| * e^(i * Arg(z)) = sqrt(7) * e^(-i * 0.165148)

To raise z to the 8th power, we can use De Moivre's theorem:

z^8 = (sqrt(7))^8 * e^(-8i * 0.165148) = 49 * e^(-1.321184i)

Finally, we can express the result in rectangular form:

z^8 = 49(cos(-1.321184) + i*sin(-1.321184))

z^8 = -31.698 + (-40.844)i

Answer:

X=r+h

Step-by-step explanation:

add h to both sides to get the x variable by itself

so X-h+h=r+h

simplify:

X=r+h

Answer:

x = h + r

Step-by-step explanation:

x - h = r               (Add h to both sides to get x alone)

   +h  = +h

x = h + r

Answer: 81 + 49 + 1000

Step-by-step explanation:

Answer: 2,198,000

Step-by-step explanation:

(81 + 49)^3 + 1000

2,197,000 + 1000

2198,000

BRAINLEST PLPSS

Answer:

6a^2

Step-by-step explanation:

a^2= 8^2

a^2=64

Total surface area=6×64

answer= 384cm^2

hope this helps :)

The area of the composite shape can be found to be 112 sq in.

This is a composite shape and the most likely question to be answered is to find the area of the composite shape.

To find the area of the composite shape consisting of a triangle and a rectangle, we need to find the area of each shape and then add them together.

The area of a triangle is given by the formula:

A = (1/2)bh

A = (1/2)(4)(6) = 12 sq in

The area of a rectangle is given by the formula:

A = lw

A = (10)(10) = 100 sq in

To find the area of the composite shape, we add the areas of the triangle and the rectangle:

A = 12 + 100 = 112 sq in

Find out more on area at https://brainly.com/question/8370446

#SPJ1

Using a trigonometric relation we can see that x  =39.34 units.

x is the hypotenuse, and we know an angle of 24° and the opposite cathetus of that angle, so we can use the trigonometric relation:

sin(a) = (opposite cathetus)/hypotenuse

Replacing what we know, we will get.

sin(24°) = 16/x

Solving this for x, we will get:

x = 16/sin(24°) = 39.34 units.

Learn more about right triangles at:

https://brainly.com/question/2217700

#SPJ1

The rate at which the depth is changing at 2 am is given as follows:

D'(2) = 0.4354 feet per hour.

The equation giving the depth of the water in t hours after midnight is given as follows:

D(t) = 2cos(πt/3 + 2π/5) + 3.

The derivative of the cosine is negative sine, while the inner derivative is of π/3, hence, applying the chain rule, the derivative is given as follows:

D'(t) = -2π/3sin(πt/3 + 2π/5)

2 am is 2 hours after midnight, hence the numeric value of the derivative is given as follows:

D'(2) = -2π/3sin(2π/3 + 2π/5)

D'(2) = 0.4354 feet per hour.

More can be learned about derivatives at https://brainly.com/question/5313449

#SPJ1

Answer:

X=30

Step-by-step explanation:

6/18 = 10/x

1/3= 10/x

cross multiply

x= 30

Answer:

Step-by-step explanation:

To solve this problem, we need to find the total shaded area and then divide it by the total area of the diagram.

Let's first find the area of each square. Since the area of a square is given by the formula A = s^2, where s is the length of a side, we can find the length of a side by taking the square root of the area.

For the first square, the shaded area is 2/12, or 1/6, of the total area. So, if we let x be the length of a side, we have:

(1/6)x^2 = 2/12

Simplifying, we get:

x^2 = 2/12 * 6

x^2 = 1

x = 1 (since the length of a side cannot be negative)

So, the first square has an area of 1 square unit.

For the second square, the shaded area is 2/15 of the total area. So, if we let y be the length of a side, we have:

(2/15)y^2 = 2/12

Simplifying, we get:

y^2 = (2/15) * (12/2)

y^2 = 1.6

y = 1.2649 (rounded to four decimal places)

So, the second square has an area of approximately 1.6 square units.

To find the total shaded area, we add the shaded areas of the two squares:

1/6 + 2/15 = 5/30 + 4/30 = 9/30 = 3/10

To find the total area of the diagram, we add the areas of the two squares:

1 + 1.6 = 2.6

Finally, we divide the total shaded area by the total area of the diagram:

3/10 ÷ 2.6 ≈ 0.1154

Therefore, the answer is not one of the choices given. The closest answer is A. 0.148, but the correct answer is actually slightly less than that.

Answer:

Step-by-step explanation:

Let's start by calculating the area of each square. We can do this by squaring the length of one of the sides. If we assume that both squares have the same length, we can call this length "x".

The area of the first square would then be x^2, and the area shaded would be 2/12 of this. Simplifying this fraction, we get 1/6. So the shaded area of the first square is (1/6)x^2.

The area of the second square is also x^2, and the shaded area is 2/15 of this. Simplifying this fraction, we get 2/15. So the shaded area of the second square is (2/15)x^2.

To find the total shaded area, we simply add these two areas together:

(1/6)x^2 + (2/15)x^2

To simplify this expression, we can find a common denominator for the fractions:

(5/30)x^2 + (4/30)x^2

Combining the terms, we get:

(9/30)x^2

Simplifying the fraction, we get:

(3/10)x^2

So the total shaded area is (3/10)x^2.

To find the fraction of the total diagram that is shaded, we need to divide this by the total area of the diagram, which is the sum of the areas of the two squares:

x^2 + x^2 = 2x^2

Dividing the shaded area by the total area, we get:

(3/10)x^2 / 2x^2 = 3/20

So the fraction of the total diagram that is shaded is 3/20.

In summary, we calculated the area of each square, found the shaded area of each square, added these together to get the total shaded area, and then divided this by the total area of the diagram to find the fraction that is shaded. The answer is 3/20. which is approximately equal to 0.148 repeated.

The number of boys who downloaded the full game Kaleb developed is 2,440 boys

Total downloads in the first week for girls = 7,320

Total downloads in the first week for boys = 14,640

Fraction of boys who downloaded the full game = 1/6

Number of boys who downloaded the full game = 1/6 × 14,640

= 2,440 boys

Hence, 2,440 boys downloaded the full game.

Read more on algebra:

https://brainly.com/question/4344214

#SPJ1

Answer:

150.

Step-by-step explanation: