a disc jockey has 10 songs to play .Seven are slow songs 3 are fast songs. Each song is to be played only once. In how many ways can the DJ play the 10 songs if A) the songs can be played in any order B) the first song must be a slow song and the last song must be a slow song C) the first two songs must be fast songs

Answer:

$52

Step-by-step explanation:

Find the cost by plugging in 12 as g and 4 as a into the expression:

3g + 4a

3(12) + 4(4)

36 + 16

= 52

So, the cost will be $52

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

Eloise correctly determined the volume of this prism by multiplying the three dimensions, She got a product of  (3×8×4) unit³.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

The given figure is a cuboid made up of unit cubes.

We know the volume of a cuboid is (length×width×height).

By observing the figure we have 3 unit cubes of width, 8 unit cubes of length, and 4 unit cubes of height.

Therefore, The volume of the cuboid is,

= (3×8×4) unit³.

= 96 unit³.

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Answer: i wish i could help

Step-by-step explanation:

Emma is asking an empirical question so that she she can test her hypothesis

What is a Empirical hypothesis?

Something empirical is something based on real evidence .

Evidence that is verifiable by observation as opposed to something that is true in theory or by some kind of reckoning or logic

A hypothesis is a theory that is put forward for further examination to see if it is correct. It is not a call but it is an explanation that fits the available evidence so , An empirical hypothesis is a theory that is based on real evidence and experience but that has not been proven yet

So, According to the question

Emma wants to know if long distance relationship in college have a greater likelihood of ending than a relationship that are not long distance and for that she creates a questionnaire and the crowds 100 student from our school to complete the questionnaire so she can test her hypothesis

Here, Emma is asking an empirical questions ( question about experience) and will conclude the test based on these 100 students experience and thoughts.

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Yes the distributive property can be used to rewrite the equation 2 x (7- 4) to appear in the form

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

In other words, an equation of the type A (B + C) can be solved as

= A (B + C)

= AB + AC

in accordance with the distributive property.

As it relates to the problem, 2 x (7- 4)

A = 2

B = 7

C = 4

2 x (7- 4)

= 2 * 7 - 2 * 4

The distributive property is also applicable to subtraction as used in the problem,

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Answer: The unit value of a cubic centimeter (cm^3) is the same as the metric measurement of a milliliter (mL).

This is because 1 milliliter is equal to 1 cubic centimeter. In other words, if you have a cube that measures 1 centimeter on each side, its volume would be 1 cubic centimeter, which would also be equivalent to 1 milliliter of volume.

This relationship between cm^3 and mL is commonly used in scientific and medical measurements involving liquids and gases.

The unit value of a cubic centimeter (cc) is equivalent to one milliliter (mL) in the metric system. Both cubic centimeters and milliliters are used to measure volume, and their conversion is straightforward: 1 cc = 1 mL.

The metric system uses base units such as meters, liters, and grams, and applies prefixes like kilo-, centi-, and milli- to indicate larger or smaller units of measurement.
Cubic centimeters are often used to measure the volume of solid objects or the capacity of containers, while milliliters are more commonly used to measure the volume of liquids. However, both units represent the same volume and can be used interchangeably.
It is important to understand the difference between volume measurements and other metric measurements, such as length or mass. For instance, meters are used to measure length or distance, and grams are used to measure mass or weight. These units cannot be directly converted to cubic centimeters or milliliters, as they represent different physical properties.
In summary, a cubic centimeter (cc) is a unit of volume in the metric system that is equivalent to one milliliter (mL). Both units can be used to measure volume, and they have a simple conversion of 1 cc = 1 mL. Understanding the relationship between these units and other metric measurements is essential for accurately quantifying and comparing different physical properties.

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The fraction of cake left with Bobby is 5/8.

Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

Given that, Bobby has 3/4 of a cake. He shared 1/8 slice with Morgan.

Slice of cake left = 3/4 -1/8

= 6/8 -1/8

= 5/8

Therefore, the fraction of cake left with Bobby is 5/8.

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Positive integers p and q ensure that p*q is always greater than 0.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" sign in it.

Hence, Positive integers p and q ensure that p*q is always greater than 0.

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Based on the graph, it looks like the only y-value not used by the graph is –6.

So, the range would be (-infty, -6) U (-6, infty).

The solution set to the given inequality is

(-∞, -4) U (2,∞)

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

5(x – 2)(x + 4) > 0

First we solve for x, we replace the inequality sign by = sign

5(x – 2)(x + 4) = 0

Divide both sides by 5

(x – 2)(x + 4) = 0

Now we set each factor =0  and solve for x

x-2 =0 , so x= 2

x+4 =0, so x= -4

Now we use number line and make three intervals

First interval -infinity to -4

second interval -4 to 2

third interval 2 to infinity

Now we check each interval with our inequality

First interval -infinity to -4, pick a number in this interval and check with our inequality. lets pick -5

5(-5 – 2)(-5 + 4) > 0

35>0 is true

second interval -4 to 2, pick a number in this interval and check with our inequality. lets pick 0

5(0– 2)(0 + 4) > 0

-40>0 is false

Third interval 2 to infinity, pick a number in this interval and check with our inequality. lets pick 3

5(3 – 2)(3 + 4) > 0

35>0 is true

solution set are the intervals that make the inequalities true

(-∞, -4) U (2,∞)

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Question:

What is the solution set to the inequality 5(x – 2)(x + 4) > 0?

The estimated value of the explanatory variable is not statistically significant at the 5%-level if a. the t-statistic is greater than 2.5.

The t-test is a hypothesis testing technique used to decide whether the estimated coefficient of a linear regression model is statistically significant or not. The t-value is used to measure the size of the difference between the estimated coefficient and the hypothesized value. When the t-value exceeds a critical value, such as 2.5, the estimated value of the explanatory variable is not significant at the 5%-level. It implies that the null hypothesis, which assumes that the explanatory variable's coefficient is zero, cannot be rejected.

The p-value is a measure of the probability of obtaining a more extreme value of the test statistic than the observed value if the null hypothesis is true. A small p-value implies that the null hypothesis should be rejected. When the p-value is less than 0.05, it means that the estimated value of the explanatory variable is significant at the 5%-level.

The confidence interval is a range of values that is expected to include the true value of the population parameter with a specified level of confidence. A 95% confidence interval means that the true value of the population parameter lies within the range 95% of the time. The 95% confidence interval does not contain zero implies that the estimated value of the explanatory variable is statistically significant at the 5%-level since it suggests that the population parameter is different from zero at the 5%-level. Conversely, if the 95% confidence interval contains zero, the estimated value of the explanatory variable is not statistically significant at the 5%-level since it means that the population parameter is not different from zero at the 5%-level. Therefore, it is essential to examine the t-statistic, p-value, and confidence interval while conducting hypothesis testing to make an informed decision.

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Answer:

-0.94

Step-by-step explanation:

i've done it before.

Answer:

A = 19 \(\frac{1}{2} \) ft²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \(\frac{1}{2} \) bh ( b is the base and h the height ) , then

A = \(\frac{1}{2} \) × 4 \(\frac{7}{8} \) × 8 ( change mixed number to improper fraction )

  = \(\frac{1}{2} \) × \(\frac{39}{8} \) × 8 ( cancel 8 on numerator/ denominator )

  = \(\frac{1}{2} \) × 39

  = \(\frac{39}{2} \)

  = 19 \(\frac{1}{2} \) ft²

a. The probability of purchasing x boxes that do not have the desired prize is (0.8)^x.

b. The probability of purchasing four boxes is (0.8)^3 * (0.2).

c. The probability of purchasing at most four boxes is the sum of probabilities of purchasing 0, 1, 2, 3, and 4 boxes, which can be calculated as (0.8)^0 * (0.2) + (0.8)^1 * (0.2) + (0.8)^2 * (0.2) + (0.8)^3 * (0.2) + (0.8)^4 * (0.2).

d. The expected number of boxes without the desired prize can be calculated as 2 / 0.2 = 10 boxes. The expected number of boxes you expect to purchase is 2 + 10 = 12 boxes.

a. The probability of purchasing x boxes that do not have the desired prize can be calculated using the binomial distribution. Let's denote the probability of not getting the desired prize as q (q = 1 - 0.2). The probability of purchasing x boxes without the desired prize can be calculated as:

P(X = x) = (1 - 0.2)^x * 0.2

b. The probability of purchasing four boxes can be calculated using the same formula as above:

P(X = 4) = (1 - 0.2)^4 * 0.2

c. To calculate the probability of purchasing at most four boxes, you need to calculate the cumulative probability from 0 to 4:

P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

d. The expected value or mean of a binomial distribution can be calculated using the formula:

E(X) = n * p

Where n is the number of trials (number of boxes purchased) and p is the probability of success (0.2).

In this case, the expected number of boxes without the desired prize can be calculated as:

E(X) = n * (1 - 0.2)

The expected number of boxes you expect to purchase can be calculated as:

E(Total Boxes) = E(X) + 2

Note that we add 2 to account for the two boxes with the desired prize.

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Correct question:

The probability that a randomly selected box of a certain type of cereal has a particular prize is .2. Suppose you purchase box after until you have obtained two of these prizes.

a. What, is the probability that you purchase x boxes that do not have the desired prize?

b. What is the probability that you purchase four boxes?

c. What is the probability that you purchase at most four boxes?

d. How many boxes without the desired prize do you expect to purchase? How many boxes do you expect to purchase?

Answer:

for every 19 red apples, there are 7 green ones

Step-by-step explanation:

Answer:

Mode:6

median: 5.5

mean: 5.25

range : 2

Step-by-step explanation:

Step-by-step explanation:

perimeter = 30+(2×25)+(½×3.14×30)

= 30+50+47.1

= 127.1 cm

Area = (25×30)+ (½×3.14×15²)

= 750 + 353.25

= 1.103.25 cm²

============================================================

Explanation:

Divide the figure so we have a semicircle on the left and a rectangle on the right. The rectangle is 30 by 25. The semicircle has diameter 30.

If we consider a full circle of diameter 30, then its circumference is exactly C = pi*d = pi*30 = 30pi centimeters.

But we only have half a circle, so we cut that in half to get 30pi/2 = 15pi. That's the distance around the curved portion of this diagram. The straight line portions are handled as exactly as you expect.

Add up the distances around the outer edges to get:

15pi+25+30+25 = 15pi+80

The exact perimeter, in terms of pi, is 15pi+80 centimeters.

To get an approximation of this, we can use pi = 3.14 to get

15*pi + 80 = 15*3.14+80 = 127.1 cm

To get a better approximation, use more decimal digits in pi. Or you can let your calculator handle the decimal digits of pi (in other words, use the stored version of it).

The parallel sides are AB and CD while the area of the Trapezium is 240cm²

A.)

Parallel sides are directly opposite one another and their lines never meet. lines AB and CD.

Therefore, the two parallel sides are AB and CD

B.)

Area of Trapezium = Area of Rectangle + Area of Triangle

Area of rectangle = Length * width

Area of rectangle = 6 * 16 = 96 cm²

Area of Triangle = 1/2*base*height

Area of Triangle= 1/2 * 18 * 16

Area of Triangle = 144 cm²

Hence, area of Trapezium is 240 cm²

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Expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16

What do you mean by One-to-One Correspondence?

the capability of relating one object to another. For each number spoken aloud, the learner should be able to count or move one object while saying "1,2,3,4". She has not learned one-to-one correspondence if she accidentally counts an object twice or skips one of the things while counting. Before starting Giggle Facts, students must be able to match one object to each number counted.

Remind your kids that a double fact is a mathematical expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16. Give children the chance to practise combining groups of the same number using manipulatives or other classroom supplies.

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Answer:

A double expression

Step-by-step explanation:

Answer:

a) 18.85 or 19

b) 84.82 or 85

The two positive numbers are 6 and 11

From the question, we understand that:

There are two positive numbers

Represent these numbers with x and y

So, we have the following equations

x = y - 5

6x - 3y = 3

Substitute x = y - 5 in 6x - 3y = 3

6(y - 5) - 3y = 3

Open the brackets

6y - 30 - 3y = 3

Evaluate the like terms

3y = 33

Divide by 3

y = 11

Substitute y = 11 in x = y - 5

x = 11 - 5

So, we have

x = 6

hence, the numbers are 6 and 11

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The derivative of the function f(x) = 5cos(sin(x)) is f'(x) = -5sin(x)cos(sin(x)).

To find the derivative of the given function, we need to apply the chain rule. Let's break it down step by step.

1. Start with the outer function f(x) = 5cos(sin(x)).

2. Take the derivative of the outer function, which is the derivative of cos(u) with respect to u multiplied by the derivative of the inner function (sin(x)).

  - The derivative of cos(u) is -sin(u).

  - Multiply by the derivative of the inner function, which is cos(x).

  - So, the derivative of f(x) is -sin(sin(x))cos(x).

3. Finally, multiply the derivative by the constant coefficient (5) to get the final result.

  - f'(x) = -5sin(x)cos(sin(x)).

Therefore, the derivative of f(x) = 5cos(sin(x)) is f'(x) = -5sin(x)cos(sin(x)).

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Answer:

angle v

please take a look at the gif

Answer:

v

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

(9x - 62)

(9(15) - 62) =

(135 - 62) =

(73)

m∠KJL = 73

Answer:

c and d

Step-by-step explanation:

c) Housing, savings and food = 54%

d) Housing, food and transportation = 60%

Answer:

c and d

Step-by-step explanation:

Answer:

12 pounds

Step-by-step explanation:

You have to divide the mass value by 16.

Answer:

Step-by-step explanation:

  \(\sf f(x) = \dfrac{1}{Sin \ x}\)

f(x) does not contain values where sin x = 0. Sin x is 0 at integral multiples of π.

Domain = R - nπ , n is integers.

The range of Sin x is [-1 , 1] and in this range we cannot find 1/sin x .

Range = (-∞, -1] U [1,∞)

\(\sf f(x) =\dfrac{1}{Cos x}\)

f(x) does not contain values where Cos x  = 0 . Cos x is 0 at integral of multiples of (π/2)

   \(\sf Domiain =R -\dfrac{(2n+1)\pi }{2}\)

The range of Cos x is [-1,1] and in this range we cannot find 1/Cos x.

Range =  (-∞, -1] U [1,∞)

\(\boxed{\sf (a-b)^3=a^3-3a^2b+3ab^2-b^3}\)

\(\\ \sf\longmapsto 64a^3-(b-c)^3\)

\(\\ \sf\longmapsto 64a^3-(b^3-3b^2c+3bc^2-c^3)\)

\(\\ \sf\longmapsto 64a^3-b^3+3b^2c-3bc^2+c^3\)

\(\\ \sf\longmapsto 64a^3-b^3+c^3+3b^2c-3bc^2\)

Answer:

Step-by-step explanation:

\(Remember:\\\\\boxed{x^3-y^3=(x-y)(x^2+xy+y^2)}\\\\64a^3-(b-c)^3\\\\=(4a)^3-(b-c)^3\\\\=(4a-(b-c))(16a^2+4a(b-c)+(b-c)^2)\\\\=(4a-b+c)(16a^2+4ab-4ac+b^2-2bc+c^2)\\\)