76.4491 rounded to one decimal place

Answer:

6 batches

Step-by-step explanation: because 9 divided by 1 1/2 cups of sugar is 6

The given polynomials are discussed and grouped into each given category as given below.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

We can now look into each polynomial.

a) x³ + 125

   125 is a cube of 5 and also  x³  is the power of x.

So this is a perfect cube.

b) 8p³ - 27

    8p³ is a perfect cube of 2p and 27 is a perfect cube of 3.

So it is a perfect cube.

c) 12x³-9

    This is neither a cube nor a square.

d) a²-100

   100 is a perfect square and so is a².

So this is a difference of perfect squares.

e) 4m² + 25

4m² is a square of 2m and 25 is a square of 5.

But the operator is +

So this is neither a cube nor a difference of a perfect square.

f) 16x²-9

16x² is a square of 4x and 9 is a square of 3.

Also, the operator is -

So this is a difference of perfect squares.

Therefore the above polynomials are discussed and grouped into each given category accordingly.

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Answer:

B

Step-by-step explanation:

CD matches with ST on the shapes.

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

Explanation:

Add up the number of rings of each color:

11+15+0+5 = 31

We have 31 rings total. Of this total, we have 5 yellow.

This means the theoretical probability of getting yellow is approximately 5/31 = 0.161

This is roughly a 16.1% chance.

Answer:

0.161

Step-by-step explanation:

5 yellow rings out of 31.

5/31 = 0.16129032

Answer:

40 feet

Step-by-step explanation:

4+4+8+4+12+8

= 40 ft.

Answer:

option 2

Step-by-step explanation:

I'm using the assumption that he will have to pay for 4 years (as stated in the problem). You will need the length of time he would be making payments (in months) or the total cost of the vehicle to solve this problem.

4 years = 12 x 4 = 48 months

Option 1: 500 + 195 (48) = 500 + 9360 = 9,860

Option 2: 4,000 + 55 (48 - 6) = 4,000 + 55 (42) = 4,000 + 2310 = 6310

If he can wait six months, it will save him about $3,500 to go with Option 2.

Answer: 380 ft

Step-by-step explanation: To find the length in between, you simply subtract the numbers.

1,515 - 1,135 = 380

Therefore, the ladder needs to be extended 380 ft.

Answer:

52

Step-by-step explanation:

10y + x2

substitute

10(4)+6(2)

multiply

40+12

add

52

Answer:

415.8

Step-by-step explanation:

8.40 x 40 is 336$. plus 7 x 4.20 (half) is 29.4$ and plus 8.40 x 2 (double time) is 16.8 x 3 which is 50.4$. you add these up and he earns 415.8$ (hopefully)

Given:

Width of the building = 2y

Length of the building = 9y-4

Find-:

Area of building in terms of y.

Explanation-:

The area of a rectangle is:

So the area of the given building is:

Area is:

The expression of area is:

The exponential equation is \(y=ab^x\). Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

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The exponential equation is y = \(ab^{x}\) . Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

The formula for exponential regression is y = \(ab^{x}\) . This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.

Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.

A model that explains the process of doubling growth.

The exponential equation is y = \(ab^{x}\)

Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

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(a) Expected utility is calculated as the weighted average of the utilities of all possible outcomes.

According to the problem, Sam's utility function is u(100) = 1 and u(200) = 2.

The lottery L1 = ( £100, w.p. 0.6; £200, w.p. 0.4 ) has two outcomes with the probabilities of 0.6 and 0.4.

Therefore, the expected utility of the lottery L1 is:

Expected utility of L1 = 0.6 × u(100) + 0.4 × u(200)= 0.6 × 1 + 0.4 × 2= 1.4

Since Sam is willing to pay at most £120 for the lottery L1, this indicates that the expected utility of L1 is worth £120 to Sam. Thus:1.4 = u(£120)

Since we know u(100) = 1 and u(200) = 2, we can linearly interpolate to find u(£120):

u(£120) = u(100) + [(120 - 100)/(200 - 100)] × (u(200) - u(100))= 1 + [(120 - 100)/(200 - 100)] × (2 - 1)= 1.3

Therefore, the expected utility of the lottery L2 = ( £100, w.p. 0.6; £120, w.p. 0.4 ) is:

Expected utility of L2 = 0.6 × u(100) + 0.4 × u(£120)= 0.6 × 1 + 0.4 × 1.3= 0.78

So, Sam's expected utility for the lottery L2 is 0.78

.(b) The risk preferences of Sam can be determined by comparing the utility of the lottery L1 and the sure outcome that gives the same expected value as the lottery L1.

The expected value of the lottery L1 is:Expected value of L1 = 0.6 × £100 + 0.4 × £200= £140

Therefore, Sam needs to be indifferent between the lottery L1 and the sure outcome of receiving £140. Since the expected utility of L1 is 1.4, Sam's utility for receiving £140 must also be 1.4.

This can be represented as:u(£140) = 1.4From part (a), we know that u(£120) = 1.3.

Therefore, the difference between the two utility values is:u(£140) - u(£120) = 1.4 - 1.3= 0.1

The difference in utility is positive but not enough to reflect risk-loving behavior. Therefore, Sam is risk-averse.

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Answer:

10.2

Step-by-step explanation:

F(n) is basically a fancy substitute for y

25= 1.25n + 12.25

subtract 12.25 from both sides

12.75=1.25n

n=10.2

plug back in to double check

1.25(10.2) + 12.25

it equals 25, therefore the answer is

10.2

Answer:

y < x – 2 and y > x + 1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

Just add lol fjfjfjfjjd

A full circle is 360 degrees.

The arc length would be 48/360 of the full circumference.

12 x 48/360 = 576/360 = 1.6

Answer:

0.83,0.50

Step-by-step explanation:

Since there are 2 digits in 83, the very last digit is the "100th" decimal place.

So we can just say that .83 is the same as 83/100.

So your final answer is: .83 can be written as the fraction

Step-by-step explanation:

To get 83/50 as a decimal just divide and you'll get 1.66 as your answer

Using it's concept, the relative frequency for people who can only see the sunset is: 12/38.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

From the two-way frequency table, we have that there are 38 people, out of which 12 can see the sunset but not the sunrise, hence the relative frequency for people who can only see the sunset is: 12/38.

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Answer:

-20

Step-by-step explanation:

Answer:

a. 48

b. 86

Step-by-step explanation:

yeah-ya...... right?

we can write the Taylor polynomial of degree two as T2(x) = f(0) + f'(0)(x-0) + f''(0)(x-0)^2/2 = 12 - 2x + 12x^2/2 = 6x^2 - 2x + 12.

The values we need for the Taylor polynomials are:

f(0) = 5 + 7 = 12

f'(0) = 5 - 7 = -2

f''(0) = 5 + 7 = 12

Using these values, we can write the Taylor polynomial of degree one as:

T1(x) = f(0) + f'(0)(x-0) = 12 - 2x

To find the Taylor polynomial of degree two, we also need to calculate the second derivative of f(x):

f'''(x) = 5e^x - 7e^-x

f''''(x) = 5e^x + 7e^-x

Then, we can write the Taylor polynomial of degree two as:

T2(x) = f(0) + f'(0)(x-0) + f''(0)(x-0)^2/2 = 12 - 2x + 12x^2/2 = 6x^2 - 2x + 12.

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The proportion of fish with weights between 3.5 kg and 4 kg can be determined using the normal distribution. Additionally, the probability of catching a fish weighing at least 5 kg can also be calculated.

a) To find the proportion of fish between 3.5 kg and 4 kg, we need to calculate the area under the normal distribution curve within this range. We can convert these weights into standardized z-scores using the formula z = (x - μ) / σ, where x is the weight, μ is the mean, and σ is the standard deviation.

For 3.5 kg:

z = (3.5 - 4.25) / 1.2 = -0.625

For 4 kg:

z = (4 - 4.25) / 1.2 = -0.208

Next, we can look up the corresponding probabilities associated with these z-scores using a standard normal distribution table or a statistical software. Subtracting the cumulative probability of the lower z-score from the cumulative probability of the higher z-score gives us the proportion of fish within this weight range.

b) To find the probability of catching a fish weighing at least 5 kg, we need to calculate the area under the normal distribution curve to the right of this weight. We convert 5 kg into a z-score:

z = (5 - 4.25) / 1.2 = 0.625

Using the standard normal distribution table or software, we find the cumulative probability associated with this z-score. This probability represents the proportion of fish with a weight of at least 5 kg.

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Answer:

because if you substitute 6 into the equation for x and cross multiply, you get 1,152 = 1,152

Step-by-step explanation:

Answer:

your answer is c please mark as branliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

7(n+2)-3(n+4)

7n+14-3n-12

7n-3n+14-12

4n+14-12

4n+2

2(2n+1)

2(m)

2m where m=2n+1.

Thus 7(n+2)-3(n+4) is always even.

Answer:

2(b + 8) - 6n

Step-by-step explanation:

Twice the sum of b and 8 ⇒ 2(b + 8)

Minus ⇒ -

Product of 6 and n ⇒ 6n

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

(0, 9)

Step-by-step explanation:

y = 9 is the same as (0, 9)

a. All collections on the preceding page and its content are well-defined.

b. The difficulty in deciding whether a given collection is a set or not usually arises when the criteria for membership in the collection are ambiguous or subjective.

c. A collection of happy people can be considered a set, depending on how it is defined and the context in which it is used.

d. Collections of people with pretty faces are not well-defined because the notion of beauty or prettiness is subjective and can vary from person to person.

The preceding page and its content.

The collection is based on personal preferences or opinions, it becomes challenging to determine whether an item belongs to the collection. Another challenge is when the collection includes elements that are themselves collections or have complex properties.

If the criteria for membership in the collection are well-defined and objective, such as people who exhibit certain behaviors or express happiness in a measurable way, then it can be considered a set.

If the criteria are subjective or vague, such as being perceived as happy by others, it becomes difficult to determine membership and the collection may not be well-defined.

One person finds attractive, another may not.

Beauty is influenced by cultural, societal and personal preferences, making it difficult to establish clear and objective criteria for determining membership in such a collection.

collections of people with pretty faces are not well-defined sets.

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