A report found that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the standard deviation of the population is 3 hours. Assume samples of size 20 are

Answer:

$13,304

-We use the compound interest function to determine the rate of growth.

-Given that the amount doubles in 13 years, the annual growth  rate is calculated as:

We now substitute this value of i in the compound interest formula equation to solve for future value:

Hence, the future value to the nearest dollar is $13,304

*You can alternatively use the exponential growth function:

This is slightly off by just $1

Step-by-step explanation:

The graph of the function f(x) = x^4 - 6*x^7 + 5 crosses the x-axis at x = 0 and x = 5.

The graph of the function f(x) = x^4 - 6*x^7 + 5 is a polynomial function. The roots of a polynomial are the values of x for which the polynomial is equal to zero. To find the roots of the polynomial, we must solve the equation f(x) = 0. To solve this equation, we will use polynomial division.

We will divide the polynomial by (x - 5), which will give us the following result:

f(x) = x^4 - 6*x^7 + 5 = (x - 5)(x^3 + 7x^2 - 5x + 25).

We can now solve for the roots of the polynomial. Since (x - 5) is a factor of the polynomial, the root is x = 5. We can also solve for the other roots by setting the remainder of the polynomial division equal to 0. This gives us the equation x^3 + 7x^2 - 5x + 25 = 0. This equation can be solved by factoring and the result is x = 0, 1, and 5. Therefore, the graph of f(x) = x^4 - 6*x^7 + 5 crosses the x-axis at x = 0 and x = 5.

f(x) = x^4 - 6*x^7 + 5

Divide f(x) by (x-5):

f(x) = (x-5)*(x^3 + 7x^2 - 5x + 25)

Set remainder equal to 0:

x^3 + 7x^2 - 5x + 25 = 0

Factor:

x^3 + 7x^2 - 5x + 25 = (x - 5)*(x^2 + 5x + 5)

x = 0, 1, 5

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The total number of t-shirts sold by Tom equals to 17 t-shirt.

Basically, a profit refers to the difference between the revenue that an entity has received from its outputs and the opportunity costs of its inputs.

We need to note that he made a total profit of $125. From here, we will proceed to use that data to solve other sections.

From the total profit of $125, he also made a profit of $40 from selling hats. That means that the T-shirt sales alone gives him a profit of $85 ($125 - $40).

Total quantity of t-shirt sold is computed as follows:

= Total profit from t-shirt / Profit per shirt

= $85 / $5

= 17 t-shirt

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\(x^2=196\\x=-\sqrt{196} \vee x=\sqrt{196}\\x=-14 \vee x=14\)

Therefore, it's A and D.

Answer:

x=7

Step-by-step explanation:

180-105= 75°

11x-2=75°

11x=77

x=7

Answer:

y = -1x + 11 OR y = -x + 11

Step-by-step explanation:

y = mx + b

y = -1x + 11 OR y = -x + 11

USE PATHWAY !!

HOPE IT HELPS!!!

BYEEE

Answer:

I think the answer is 787765.609372 which rounds to 787766.

I hope this helped

Answer:

658,600 after 12 years

Step-by-step explanation:

That should be correct I think

Answer:

Step-by-step explanation:

 Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Answer:

Anand can afford is 6hours

Step-by-step explanation:

Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Answer:

y = mx + b is the slope intercept form of writing the equation of a straight line

Step-by-step explanation:

y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is.

Part A

Minimum: the minimum value in the data set is $10.

First Quartile (Q1): the first quartile is $15

Median (Q2): the median is  $ 22.5

Part A: the data set in array is

$10, $12, $15, $18, $20, $25, $32, $35, $45, $48

Minimum: the minimum value in the data set is $10. This represents the lowest donation received during the first two hours of the carwash.

First Quartile (Q1): the first quartile is the median of the lower half of the data set. In this case, it is $15. This means that 25% of the donations were $15 or less.

Median (Q2): the median is the middle value of the data set when arranged in ascending order. In this case, it is $(20 + 25)/2 = $ 22.5

Third Quartile (Q3): The third quartile is the median of the upper half of the data set. In this case, it is $35. This means that 75% of the donations were $35 or less.

Maximum: The maximum value in the data set is $48. This represents the highest donation received during the first two hours of the carwash.

Part B:

Box plot B matched the data set given because the part corresponds to the data set

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The solutions of the system tend towards zero, as the exponential term dominates the other terms.

The general solution of the given system of equations can be expressed as:

x(t) = c1e^(-t) + c2te^(-t)

y(t) = c3e^(-t) + c4te^(-t)

where c1, c2, c3 and c4 are constants of integration.

The direction field of the system can be drawn by plotting the slopes of the two equations at each point. The trajectories of the solutions can be sketched by plotting the solutions of the system at different points in time. As t approaches infinity, the solutions of the system tend towards zero, as the exponential term dominates the other terms.

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The density in ounces per liter is 3.57826 rounding off = 3.58

Density of a substance can be defined as a relationship between the mass and the volume of that substance.

\(Density=\frac{Mass}{Volume}\)

For Example if a metal have a mass 0f 7gm and volume as \(5cm^{3}\)

\(Density=\frac{7}{5} = 1.4g/cm^{3}\)

we know that 1 gram/fluid ounce of volume = 1.19275 ounces/liter

1 gm/fluid ounce =1.19275 ounces/liter

3 gm/fluid ounce = 3*1.19275 ounces/liter

So 3 gm/fluid ounce = 3.57826 ounces/liter

On rounding it to nearest hundredth we get 3.58 ounces/liter

Therefore the density of the material which weighs 3 gm/fluid ounce in ounces/liter is 3.58.

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Answer:

1 23/25

Step-by-step explanation:

3 1/5 * 3/5

Change the mixed number to an improper fraction

(5*3+1 )/5 = 16/5

16/5 * 3/5 = 48/25

Change to a mixed number

25/25 + 23/25

1 23/25

Answer:

1 23/25

Step-by-step explanation:

turn the mixed number into an improper fraction : 16/5, then multiply straight across: 16/5 x 3/5 = 23/25

Answer:

12

Step-by-step explanation:

the angle is defined by equation ((n-2)*180)/n,where n is number of sides of a regular polygon

so here 180n-360=150n

30n=360

n=12

Answer:

option B

Step-by-step explanation:

Answer:

the answer is d (the last one).

pq= -10 x 4= -40 (lowest value)

p-q= -10 - 4= -14 (middle value)

p+q= -10 + 4= -6 ( highest value)

Inverse = if a number is not a natural number the it also not a whole number.

False

Converse = If a number is a whole number then it is also a natural number

False

Contrapositive = If a number is not a whole number then it is also not a natural number

True.

Bi conditional = number is a natural number if and only of it is a whole number.

False.

Answer:

27 ounces of blueberry juice. 40 ounces of soy milk. 13 ounces of banana flavoring.

Step by Step:

4 + 1.3 = 5.3, This is how much of the smoothie is made up of the soy milk and banana flavoring, 5.3 ounces.

So to find the amount of blueberry juice in the smoothie you have to subtract 8-5.3. This finds the remaining part of the smoothie, which is the blueberry juice. 8-5.3 = 2.7

2.7 ounces of blueberry juice in each smoothie.

Now you have to multiply every ingredient by 10, since there are 10 smoothies.

4 * 10 = 40

1.3 * 10 = 13

2.7 * 10 = 27

You need 40 ounces of soymilk, 13 ounces of banana flavoring, and 27 ounces of blueberry juice to make 10, 8-ounce smoothies.

As per the unitary method, Gordon is correct because the Gordon would charge more than Ironing Palace

In math the term unitary method is defined as the value of a single unit and then find the value of more or fewer units by multiplying their quantity with the value of a single unit.

Here we have given that the total weight of these shirts is 9. 5 kg.

And here we have also given that each shirt weighs 190 g.

And Gordon charges £38 to iron these shirts.

And the charges in the Ironing Palace is 90p for each.

Here we have to use the unitary method to calculate the values for each of them,

The Total cost for Gordon is calculated as,

=> 38 x (9.5 / 0.19)

=> 1900

And the total cost for Ironing Palace is calculated as,

=> 90 x 9.5

=> 855

Therefore, while we looking into the values we have identified that Gordon is correct.

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Answer: (1) Measure of angle K = x degrees

(12) Measure of angle L = (5x) degrees

(3) Measure of angle k + Measure of angle L + Measure of angle N = 180 degrees

Step-by-step explanation: First of all, what we have is a triangle, and one of the properties of a triangle is all three angles add up to 180 degrees. This simply means that the addition of angles K and L and N would be equal to 180 degrees.

The question states that angle K is represented as x degrees, and angle L is 5 times the measure of angle K. Therefore, if K is x degrees, then L is 5 times x, which becomes 5x degrees. Also, angle N is given as 16 degrees less than 8 times the measure of angle K (x degrees). Eight times the measure of angle K is given as 8x. Sixteen degrees less than 8x would now become, 8x - 16 (degrees). Therefore, the angles have been derived as;

Angle K = x degrees

Angle L = 5x degrees

Angle N = 8x - 16 degrees

Having known that one of the properties of any triangle is all angles adding up to 180 degrees, we can now derive the following equation;

x + 5x + 8x - 16 = 180

14 x - 16 = 180

Add 16 to both sides of the equation

14x = 196

Divide both sides of the equation by 14

x = 14

Therefore, angle K = 14 degrees (x), angle L = 70 degrees (5x) and angle N = 96 degrees (8x - 16)

*14 + 70 + 96 = 180*

Answer:

145

Step-by-step explanation:

It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.

Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).

$800 = $9500 * 0.0825 * (t / 365)

Simplifying the equation:

800 = 9500 * 0.0825 * (t / 365)

Divide both sides by (9500 * 0.0825):

800 / (9500 * 0.0825) = t / 365

Simplify the left side:

800 / (9500 * 0.0825) ≈ 0.1083

Now, solve for t by multiplying both sides by 365:

0.1083 * 365 ≈ t

t ≈ 39.532

Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

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The answer is e. none of the above/can’t be determined with info given.

Based on the information given, we have:

P(A) = 0.46

P(B) = 0.17

P(A U B) = 0.63

Note that P(A U B) represents the probability of either event A or event B occurring, or both.

If events A and B are mutually exclusive, it means they cannot occur at the same time. In other words, if event A occurs, event B cannot occur, and vice versa. In this case, the probability of both events occurring would be zero.

On the other hand, if events A and B are collectively exhaustive, it means that together they account for all possible outcomes. In other words, either event A or event B (or both) must occur, and there are no other possibilities.

Using these definitions, we can see that events A and B are neither mutually exclusive nor collectively exhaustive. This is because the probability of both events occurring (i.e., the intersection of A and B) is not zero, which means they are not mutually exclusive. Additionally, the probability of either A or B occurring (i.e., the union of A and B) is not equal to one, which means they are not collectively exhaustive.

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Answer:

Wow

Step-by-step explanation:

I love the question pls i also want to know the answer to it

A 6-ounce serving of salmon has 2 grams of saturated fat. To determine the percentage of saturated fat in the serving of salmon, we divide the amount of saturated fat by the total amount of fat and multiply by 100.

The total amount of fat in the serving is 7 grams. So:2g / 7g × 100% = 28.57%Therefore, 28.57% of the 6-ounce serving of salmon is saturated fat. This information can be helpful for individuals who are monitoring their saturated fat intake due to health concerns such as high cholesterol or heart disease.

Saturated fat is a type of fat that is solid at room temperature and is typically found in animal products such as meat and dairy. Consuming too much saturated fat can contribute to high cholesterol levels and increase the risk of heart disease. It is important to consume a balanced diet and limit intake of saturated and trans fats.

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For h = 2/5, there does not exist |x - y| = h satisfying f(x) = f(y) for the function f(x) = x.(a) To show that there must exist x, y ∈ [0, 1] satisfying |x - y| = 1/2 and f(x) = f(y),

we can utilize the Intermediate Value Theorem (IVT).

Since f is continuous on [0, 1], and f(0) = f(1), according to the IVT, for any value c between f(0) and f(1), there exists a value x ∈ [0, 1] such that f(x) = c.

Let c = f(0) = f(1). By the IVT, there exists x1 ∈ [0, 1] such that f(x1) = c. Now, consider the value y1 = x1 + 1/2. Since x1 ∈ [0, 1], y1 is also in the interval [0, 1]. Moreover, |x1 - y1| = |x1 - (x1 + 1/2)| = 1/2.

Therefore, we have found x = x1 and y = y1 satisfying |x - y| = 1/2 and f(x) = f(y).

(b) To show that for each n ∈ N there exist xn, yn ∈ [0, 1] with |xn - yn| = 1/n and f(xn) = f(yn), we can generalize the approach used in part (a). Let c = f(0) = f(1) and consider the interval [0, 1]. Divide this interval into n subintervals of length 1/n. By the IVT, in each subinterval, there exists a value xi such that f(xi) = c.

Now, consider the value yi = xi + 1/n. Similar to part (a), |xi - yi| = 1/n.

By repeating this process for each subinterval, we can find xn, yn ∈ [0, 1] such that |xn - yn| = 1/n and f(xn) = f(yn) for any given n.

(c) For h = 2/5, which is not of the form 1/n, it is not guaranteed that there exists |x - y| = h satisfying f(x) = f(y). To provide an example, consider the function f(x) = x on the interval [0, 1].

Suppose we want to find x and y such that |x - y| = 2/5 and f(x) = f(y). Since f(x) = x, we need to find x and y such that |x - y| = 2/5 and x = y.

However, it is not possible to satisfy both conditions simultaneously. If x = y, then |x - y| = 0, which is not equal to 2/5. On the other hand, if |x - y| = 2/5, then x and y must be distinct, making it impossible to have x = y.

Therefore, for h = 2/5, there does not exist |x - y| = h satisfying f(x) = f(y) for the function f(x) = x.

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The value of perimeter of figure is,

⇒ 40 units

And, Area of figure is,

⇒ A = 75 units²

We have to given that,

The given coordinates pairs are,

⇒ A (7,-5), B (-5, 4), C (-8, 0) , D(4, -9)

Now, We know that,

The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, We get;

AB = √(- 5 - 7)² + (- 5 - 4)²

AB = √ 144 + 81

AB = √225

AB = 15

BC = √(- 8 + 5)² + (0 - 4)²

BC = √9 + 16

BC = √25

BC = 5

CD = √(4 + 8)² + (- 9 - 0)²

CD = √144 + 81

CD = √225

CD = 15

DA = √(4 - 7)² + (- 9 + 5)²

DA = √9 + 16

DA = √25

DA = 5

Hence, The value of perimeter of figure is,

⇒ 15 + 5 + 15 + 5

⇒ 40 units

And, Area of figure is,

A = Lenght x Width

A = 15 x 5

A = 75 units²

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Answer: I believe it is 15/25

Step-by-step explanation:

cos C = Adjacent/Hypotenuse

Cos c= 15/25

Answer:

a

Step-by-step explanation: