What are the zeros of this function?

Answer: Approximately 226 miles

Step-by-step explanation:

Km. to Mi.

364 = 226

Answer:

3 times

Step-by-step explanation:

6 x 3 = 18

Answer:

3

Step-by-step explanation:

18/6 = 3

or

6 + 6 + 6 = 18

The statement is True ' The height of a supply curve at a quantity of 100 represents the minimum price required to induce a producer to supply the hundredth unit"

A supply curve: what is it?

The relationship between the quantity of a good that a producer is willing to sell and the price of the good is graphically represented by the supply curve in economics.

The maximum price a producer will accept to sell a given quantity of the good is represented by the height of the supply curve at that quantity.

As a result, the minimum price necessary to persuade a producer to supply the 100th unit of the good is represented by the height of the supply curve at a quantity of 100.

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Answer:

x <= 3 represents all values such as: -∞, -100, -4, -3, -2, -1, 0, 1, 2, 3.

Step-by-step explanation:

5x <= 15

Next, we'll solve for x by dividing both sides by 5:

x <= 3

So, the possible values for the number are any value less than or equal to 3, including negative numbers.

x <= 3 represents all values such as: -∞, -100, -4, -3, -2, -1, 0, 1, 2, 3.

Answer: r = 5

Step-by-step explanation:

Answer:

60 sopomores

Step-by-step explanation:

Let X denote the event prefer amusement park on a field trip

The probability that a sophomore will opt for a class trip to an amusement park would be 8/20 = 2/5 based on survey results

P(X) = 2/5

Based on this probability, if the number of sophomores is 150 then expected number of sophomores who prefer the amusement park trip

E(X) - P(X) x N where N is the total number of sophomores

E(X) = 2/5 x 150 = 60

if a t test yields p > 0.05 the null hypothesis would normally be option (A) accepted

The null hypothesis defined as the types of hypothesis that do not have any statistical significance exist in the given set of observation.

The p value is defined as the measurement that is used to validate the hypothesis using the observed data. The range of the p value varies from zero to one.  Zero means no chance and 1 means absolute certainty  

If a t test yields a p-value greater than 0.05, it means that there is insufficient evidence to reject the null hypothesis, and the results are not statistically significant. Therefore, the null hypothesis is accepted.

Therefore, the correct option is (A) accepted

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The percent error of Brandi’s estimate to the nearest tenth is equal to 2.9%.

In Mathematics, percentage error is also referred to as percent error and it can be defined as a measure of the extent to which an experimental value (numerical) differs from the actual (theoretical) numerical value.

Mathematically, percentage error can be calculated by using this expression;

Percent error = {experimental value - actual value}/{actual value} × 100

By substituting the given parameters into the percentage error formula, we have;

Percent error = {107 - 104}/{104} × 100

Percent error = 3/104 × 100

Percent error = 0.029 × 100

Percent error = 2.9%.

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The largest square that Mr. Stanley can use to plant in his farm is a square with a side length of 8 meters.

To find the greatest common factor of 24 and 40, we can list the factors of both numbers and find the highest factor that they have in common:

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

The highest factor that 24 and 40 have in common is 8.

Factors are numbers that can be multiplied together to get a given number. For example, the factors of 6 are 1, 2, 3, and 6 because 1 x 6 = 6 and 2 x 3 = 6. Factors can be prime or composite. Prime factors are those that are only divisible by 1 and themselves. Composite factors are those that have more than two factors.

Factors are important in math because they can be used to simplify fractions, find common denominators, and solve equations. They also play a crucial role in number theory and cryptography, where they are used to encrypt and decrypt messages. 150 is a composite number, which means it has factors other than 1 and itself. The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150. To find these factors, you can divide 150 by each number smaller than it and see if the remainder is 0.

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Answer:

y = 4n + 5

Step-by-step explanation:

y is your output and n in your input

y = 4n + 5

When the input is 1, the out put is 9

y = 4n + 5

y = 4(1) + 5

y = 4 + 5

y = 9

When the input is 2, the output is 13

y = 4n + 5

y = 4(2) + 5

y  = 8 + 5

y = 13

And so on and so on....

Answer:

4(4x+1)

Step-by-step explanation:

16x+4
Factor out 4,
4(4x+1)

Answer: 83 3/5

Step-by-step explanation:

hope this helps !! :3

Answer:

14)37

15)16

16)38

17)C

Step-by-step explanation:

14)7*4+9=28+9=37

15)42/7+10=6+10=16

16)-5*(-6)+8=30+8=38

The probability that someone is chosen to play in the left-wing position is 9%.

The general formula to calculate the probability or the likelihood of an event happening is the specific or desired outcome/ total possible outcomes.

Based on the above, let's calculate the probability in this case:

Specific outcome: To be chosen to play in the left-wing position = 1 position available

Total of players:  11 players

Now, let's calculate the probability

1/ 11 = 0.09 which is equivalent to 9%

Note: This question is incomplete; here is the missing information:

What is the probability to be chosen to play in the left-wing position?

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The required number of letters to code for 1510 products is given as 7 letters.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets.

Here,
There are 3 possibilities for a letter,
Suppose we need n letters
so 3ⁿ > 1510

Since we need to code for 1510 products that means 3ⁿ must be greater than 1510
So
3⁶ < 1510
3⁷>1510

Thus, the required number of letters to code for 1510 products is given as 7 letters.

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Answer:

Step-by-step explanation:

If the product of two rational numbers is 4/25, we can write the equation:

(x) * (-6/5) = 4/25

where x is the other number.

Expanding the equation:

x * -6/5 = 4/25

Multiplying both sides by 5 to get rid of the fraction on the right-hand side:

5 * x * -6/5 = 5 * 4/25

x * -6 = 4

Dividing both sides by -6:

x = -4/-6

x = 4/6

So, the other number is 4/6.

Answer:

So the other number is -[tex]\frac{4}{3}[/tex].

Step-by-step explanation:

Let x be the number.

We know,

(-[tex]\frac{6}{5}[/tex]) × x = [tex]\frac{4}{25}[/tex]

-[tex]\frac{6}{5}[/tex] × x =  [tex]\frac{4}{25}[/tex]          (By expanding the left side of the equation)

Dividing both sides by -[tex]\frac{6}{5}[/tex]

x = - [tex]\frac{4}{25}[/tex]  × -[tex]\frac{6}{5}[/tex]

After simplifying the equation ,

x = -[tex]\frac{4}{3}[/tex]

So the number is -[tex]\frac{4}{3}[/tex].

The total cost to operate 5 fluorescent 40w light bulbs for the months of April and May if they are on for 3 hours/day is given as follows:

$1,830.

The total cost is obtained applying the proportions in the context of the problem.

The number of kilowatt hours is given as follows:

Hence:

200 x 61 x 3 = 36,600 kwh.

The cost is of $0.05 per kwh, hence the total cost is given as follows:

0.05 x 36600 = $1,830.

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A. The probability of no nap is 0.390625, one nap is 0.234375 and two naps is 0.156250. B. The probability of zero naps is 0.152587890625, one nap is 0.3076171875, and two naps is 0.146484375. C. The probability of no nap is 0.02734375, one nap is 0.14453125, and two naps is 0.271484375. D. The probability of no naps decreases as the mean number of naps increases.

A. We can calculate the probability of no nap, one nap, and two naps by using the Poisson Distribution formula. The mean number of naps (λ) is four, so the probability of no nap (x=0) is 0.390625, one nap (x=1) is 0.234375, and two naps (x=2) is 0.156250.

B. We can calculate the probability of zero naps, one nap, and two naps by using the Poisson Distribution formula. The mean number of naps (λ) is four, so the probability of zero naps (x=0) is 0.152587890625, one nap (x=1) is 0.3076171875, and two naps (x=2) is 0.146484375.

C. We can calculate the probability of no nap, one nap, and two naps by using the Poisson Distribution formula. The mean number of naps (λ) is eight, so the probability of no nap (x=0) is 0.02734375, one nap (x=1) is 0.14453125, and two naps (x=2) is 0.271484375.

D. We can see from the answers in (b) and (c) that the probability of no naps decreases as the mean number of naps increases, suggesting that a Poisson random variable follows a decreasing probability distribution.

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Answer: I think B. 7 only

Step-by-step explanation: I hope this helps and I hope everyone is having a good day/Friday&weekend^^

If the sum of 3 consecutive even numbers is 114, we can represent the numbers as x, x+2, and x+4.

The sum of the three numbers is:

x + (x+2) + (x+4) = 3x + 6

We know that the sum is 114, so we can set up the equation:

3x + 6 = 114

Subtracting 6 from both sides gives:

3x = 108

Dividing both sides by 3 gives:

x = 36

Therefore, the three consecutive even numbers are 36, 38, and 40.

Answer:

37, 38, 39

Step-by-step explanation:

let the 3 consecutive numbers be

n , n + 1 , n + 2

then summing and equating to 114

n + n + 1 + n + 2 = 114

3n + 3 = 114 ( subtract 3 from both sides )

3n = 111 ( divide both sides by 3 )

n = 37

n + 1 = 37 + 1 = 38

n + 2 = 37 + 2 = 39

the 3 consecutive numbers are 37 , 38 , 39

The mean difference between the skier's practice times and the qualifying time is given as follows:

-2.01 seconds.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

The observations for this problem are given as follows:

1.25, -5.38, -0.92, 2.19, -6.74, -2.46.

The sum of these six observations is of:

1.25 - 5.38 - 0.92 + 2.19 - 6.74 - 2.46 = -12.06.

Hence the mean is of:

Mean = -12.06/6

Mean = -2.01 seconds.

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In the preceding equation the measure of the smallest angle is 52° in length.

Internal angles 2 and 3 are alternate options. Two angles that share a vertex and a side but no interior points in common. two angles that don't have any shared interior points but do have a common vertex and side.

We know that a triangle has 180 angles altogether.

So, 2x + 3x - 11 + 2x + 9 = 180

7x - 2 = 180

7x = 180 + 2

x = 182 / 7

x = 26

Now, magnitude of angles = 2x = 2(26) = 52  [ Smallest ]

3x - 11 = 3(26) - 11 = 78 - 11 = 67  [ Largest ]

2x +9 = 2(26) + 9 = 52 + 9 = 61

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The given functions f(x) = 3x + 6 and g(x) = (x+5)/3 are not inverses of each other, as their compositions of functions are not equal.

When we want to check if two functions are inverses of each other, we need to verify if composing the functions in both orders results in the input variable. In other words, we need to check if (f ∘ g)(x) = x and (g ∘ f)(x) = x, where f and g are the two functions.

For this problem, we have two functions:

f(x) = 3x + 6

g(x) = (x + 5)/3

Let's start by computing (f ∘ g)(x):

(f ∘ g)(x) = f(g(x)) = f((x + 5)/3) = 3((x + 5)/3) + 6

We can simplify this by canceling the 3's:

(f ∘ g)(x) = x + 5 + 6 = x + 11

Now let's compute (g ∘ f)(x):

(g ∘ f)(x) = g(f(x)) = g(3x + 6) = ((3x + 6) + 5)/3

Again, we can simplify this by canceling the 3's:

(g ∘ f)(x) = (3x + 11)/3

We can see that neither (f ∘ g)(x) nor (g ∘ f)(x) is equal to x, so we can conclude that the functions f(x) = 3x + 6 and g(x) = (x + 5)/3 are not inverses of each other.

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Answer:

Both have the same median but set A has a larger mean.

Step-by-step explanation:

You're welcome.

Answer:

The aeroplane will fly 2000 km if travelling at the same average speed.

Step-by-step explanation:

To calculate the distance an aeroplane will fly in 2 h 30 min if it flies 1400 km in 1 h 45 mins, use the Speed Distance Time formula.

[tex]\boxed{\sf Speed=\dfrac{Distance}{Time}}[/tex]

There are 60 minutes in one hour.  Therefore:

To calculate the speed of the aeroplane, divide the distance by the time it takes to travel that distance.  Therefore, if an aeroplane flies 1400 km in 1.75 hours then its average speed is:

[tex]\sf Speed=\dfrac{1400\;km}{1.75\;h}=800\;km/h[/tex]

To determine the distance the aeroplane will travel in 2.5 hours, multiply the found speed of 800 km/h by the time:

[tex]\sf Distance=800\;km/h \times 2.5\;h=2000\;km[/tex]

Therefore, the aeroplane will fly 2000 km in 2 h 30 min if travelling at the same average speed.

Answer: 2 hours and 30 minutes

Step-by-step explanation:

With an area of 11,224 square feet and the dimensions of the screen if it is 30 feet longer than it is wide, the width of the screen is 91.5 feet, and the length of the screen is 121.5 feet.

Let's call the width of the screen "w". Then, the length of the screen would be "w + 30". The area of the screen is 11,224 square feet, so we can set up an equation:

w * (w + 30) = 11,224

Expanding the right side of the equation, we get:

w^2 + 30w - 11,224 = 0

We can use the quadratic formula to solve for w:

w = (-b ± √(b^2 - 4ac)) / 2a

Where a = 1, b = 30, and c = -11,224.

Plugging in the values, we get:

w = (-30 ± √(30^2 - 4 * 1 * -11,224)) / 2 * 1

= (-30 ± √(900 + 44,896)) / 2

= (-30 ± √(45,796)) / 2

= (-30 ± 213) / 2

Taking the positive solution, we get:

w = (183 / 2) = 91.5 feet

So the width of the screen is 91.5 feet, and the length of the screen is 91.5 + 30 = 121.5 feet.

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The proof is as shown below

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

If a² = b + c , b² = c + a and c² = a + b

We want to prove that 1/(a+1) + 1/(b+1) + 1/(c+1) = 1

Since a² = b + c

a²+a = a + b + c

a (a+1) = a + b + c

a+1 = (a + b + c)/a

Repeat the same process for b² = c + a and c² = a +b, we have:

1 + b= (a + b + c)/b

1 + c =(a + b + c)/c

Substitute the values 1+a, 1+b and 1+c into 1/(a+1) + 1/(b+1) + 1/(c+1):

1/(a+1) + 1/(b+1) + 1/(c+1) = a/(a+b+c) + b/(a+b+c) + c/(a+b+c)     (Taking LCM)

                                      = (a+b+c )/ (a+b+c ) = 1

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One serving of Christian's lemonade has 0.125 cups more water than one serving of Hayden's lemonade.

Lemonade is a sweetened beverage made from lemon juice, water, and sugar. It is typically served cold, and may also include other ingredients such as fruit, herbs, or carbonated water. Lemonade is a popular summer drink that is enjoyed in many parts of the world.

First, we can find the amount of water per serving in Hayden's lemonade by dividing the total amount of water (2.25 cups) by the number of servings (9 people):

Water per serving in Hayden's lemonade = 2.25 cups / 9 = 0.25 cups per serving

Next, we can find the amount of water per serving in Christian's lemonade by dividing the total amount of water (3.75 cups) by the number of servings (10 people):

Water per serving in Christian's lemonade = 3.75 cups / 10 = 0.375 cups per serving

To find how much more water is in one serving of Christian's lemonade compared to one serving of Hayden's lemonade, we can subtract the water per serving in Hayden's lemonade from the water per serving in Christian's lemonade:

Water per serving difference = 0.375 cups per serving - 0.25 cups per serving = 0.125 cups per serving

Therefore, one serving of Christian's lemonade has 0.125 cups more water than one serving of Hayden's lemonade.

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