Find a, b and c so that the quadrature formula has the highest degree of precision integral f(x)dx zaf(1) + bf (4) + cf(5)

the answers is 1,3,and 4

After striking the ground for the fourth time, the ball will bounce to a height of approximately 243 feet.

When the ball is dropped from a height of 384 feet, it rebounds to 3/4 of the height from which it falls. This means that after the first bounce, the ball reaches a height of (3/4) 384 = 288 feet. On the second bounce, it reaches (3/4) 288 = 216 feet. On the third bounce, it reaches (3/4) 216 = 162 feet. Finally, on the fourth bounce, it reaches (3/4) 162 = 121.5 feet.

However, it's important to note that the question asks for the height after the ball strikes the ground for the fourth time, not the height after the fourth bounce. Each bounce consists of a fall and a rise, so the ball strikes the ground twice in each bounce. Therefore we will use geometric sequence formula, the ball has struck the ground three times already (after the first three bounces), and it will strike the ground once more before reaching its final height. Thus, the ball will bounce to a height of approximately 121.5 + 121.5 = 243 feet after striking the ground for the fourth time.

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Answer:

Measurements= 7.08/3.2

Area of rectangle= 7.08cm×3.2cm

= 22.656 cm(square)

To assign "total_owls" with the sum of "num_owls_a" and "num_owls_b", add the values of "num_owls_a" and "num_owls_b" together and assign the sum to "total_owls".

To complete the given task, you need to assign the variable "total_owls" with the sum of two other variables, "num_owls_a" and "num_owls_b". The first step is to identify the values of "num_owls_a" and "num_owls_b". Let's say "num_owls_a" is equal to 5 and "num_owls_b" is equal to 8.

Next, you add these values together: 5 + 8 equals 13. This sum represents the total number of owls. Finally, you assign this sum to the variable "total_owls". Now, whenever you refer to "total_owls", it will represent the value 13. Remember to update the values of "num_owls_a" and "num_owls_b" if you need to calculate the sum again in the future.

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Answer:

8

Step-by-step explanation:

Integers are whole numbers or opposite of whole numbers.

The slope is 111/11.

How?

Change of y is 1000-1=999.

Change of x is 100-1=99.

The slope is 999/99=111/11.

So if we start at (1,1) and we rise 111 and run 11 right, we get (12,112).

*Rise effects y and run effects x.

If we do that again from (12,112) we get (23,223).

Following the pattern of going up 111 and right 11 from each new location discovered we get all the of these points:

Start (1,1)

(12,112)

(23,223)

(34,334)

(45,445)

(56,556)

(67, 667)

(78, 778)

(89, 889)

(100, 1000) which is the end.

So we just need to count tthe points between begin point and end point which is 8 points.

Answer:

I think it C if it not please don't report me

The value of the larger number is 39 and the value of smaller number is 7 and the equation is x =5y+4

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc.

Given,

The larger number is 4 more than 5 times of smaller number.

Let x be the larger number and y be the smaller number and the sum is 46.

According to question,

x = 4+5y

and x+ y = 46

Substitute the value of x, we get

4 +5y +y = 46

4 +6y = 46

6y = 42

y = 7

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Answer: it’s c

_____________________

Answer: 3

Step-by-step explanation:

A fractional exponent is the root of a number by the denominator

Which looks like: \(\sqrt[3]{27}\)

And the cube root of 27 is 3.

The amount left in the can is an illustration of subtraction or differences

There are 2 quarts of water left in the watering can

The given parameters are:

Content = 8 quarts

Used = 6 quarts

To calculate the amount of water left, we use:

Content = Used + Left

Substitute known values

8 = 6+ Left

Subtract 6 from both sides

Left = 2

Hence, there are 2 quarts of water left in the watering can

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Answer:

I think the correct answer of these qusion is g(x)=(x_2)2+3

Answer:

16 and 5

Step-by-step explanation:

Hope that helps! :)

The P-value of the test statistic is approximately 0.0445. To determine the P-value, we need to perform a hypothesis test. The null hypothesis (H₀) is that the actual percentage of chips that do not fail is equal to or less than the stated percentage of 73%.

The alternative hypothesis (H₁) is that the actual percentage is greater than 73%.

We can use the normal approximation to the binomial distribution since the sample size is large (1300) and both expected proportions (73% and 74%) are reasonably close. We calculate the test statistic using the formula:

z = (P - p₀) / √[(p₀ * (1 - p₀)) / n]

where P is the sample proportion (74% or 0.74), p₀ is the hypothesized proportion (73% or 0.73), and n is the sample size (1300).

Substituting the values, we get:

z = (0.74 - 0.73) / √[(0.73 * 0.27) / 1300]

Calculating this expression, we find that z is approximately 1.556.

Since we are testing if the actual percentage is more than the stated percentage, we are interested in the right-tailed area under the standard normal curve. We find this area by looking up the z-value in the standard normal distribution table or using statistical software. The corresponding area is approximately 0.0596.

The P-value is the probability of observing a test statistic as extreme as, or more extreme than, the one obtained under the null hypothesis. Since the P-value (0.0596) is less than the significance level of 0.05, we have enough evidence to reject the null hypothesis.

Therefore, there is sufficient evidence at the 0.05 significance level to support the quality control manager's claim that the actual percentage of chips that do not fail in the first 1000 hours is more than the stated percentage.

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The value of x in the equation is 9/7.

To solve the equation 5x + 15 - 2x = 24 - 4x, we need to perform certain steps to isolate the variable x on one side of the equation. Here is the step-by-step process to solve the equation:

Combine like terms on both sides of the equation:

5x - 2x + 15 = 24 - 4x

Simplify the expressions:

3x + 15 = 24 - 4x

Add 4x to both sides of the equation to eliminate the variable from the right side:

3x + 4x + 15 = 24 - 4x + 4x

Simplify the expressions:

7x + 15 = 24

Subtract 15 from both sides of the equation:

7x + 15 - 15 = 24 - 15

Simplify the expressions:

7x = 9

Divide both sides of the equation by 7 to solve for x:

(7x)/7 = 9/7

Simplify the expressions:

x = 9/7

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If 150 town residents were asked about their age and yogurt , then the probability that a randomly selected customer prefers Swirl if age is at least 25 years old is 0.66 .

let X be = the selected customer that prefers swirled yogurt or is at least 25 years old ;

The sum of all the customers that are "at least 25 years old" = 21 + 30 + 24 = 75 ;

the sum of all the customers that " like Swirl Yogurt" is = 24 + 24 = 48 ;

the total number of residents = 150 students ;

So , the probability is calculated as : ( 75+48 -24)/150 = 0.66 .

Therefore , the required probability is 0.66 .

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The given question is incomplete , the complete question is

The 150 residents of the town of wonderland were asked their age and whether they preferred vanilla, chocolate, or swirled frozen yogurt. the results are displayed next.

     Age                               Chocolate      Vanilla      Swirl

under 25 years old                  22                 29             24

at least 25 years old                21                  30             24

What is the probability a randomly selected customer prefers Swirl Yogurt given he or she is at least 25 years old ?

The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .

In the question,

few statements about Correlation is given ,

we need to find the statement that is True .

we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,

the correlation can be negative , positive or 0 ,

and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .

So , from the above information about Correlation ,

we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "

Therefore , the statement in option (c) is True  .

The given question is incomplete , the complete question is

Select the statement below that is true about correlations.

(a) Correlations can only be negative

(b) Correlations are a measure of how much one variable changes as the other variable changes

(c) Correlations are a measure used to determine the degree to which two variables are related.

(d) Correlations are a measure of causation between two variables

(e) A negative correlation implies no relationship between variables

(f) Correlations can only be positive .

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Answer:

Using the equation below just add like terms:

P=a+b+c+d

5x+3x+x+4x

=13x

-2+1+3

=2

13x+2

A

Answer:

so (5;2) belongs to these equaliations

Step-by-step explanation:

(5;2) is the same as (x;y)

so u just plug in your numbers

—3y - х = -11

-3*2-5=-11

-6-5=-11

-11=-11

2x +y= 12

2*5+2=12

12=12

Answer:

3.75 is 3 3/4 in decomal form

Answer:

a. 8

Step-by-step explanation: Out of  12   baked goods sold , let the number of cakes sold, be  x  in number and pies sold were  12 − x  in number. Total sell was  $ 144  ,  1  cake costs  $ 14  and  1  pie costs, $ 8 ∴ 14 ⋅ x + ( 12 − x ) ⋅ 8 = 144 or 14 x − 8 x = 144 − 96  or 6 x = 48 ∴ x = 8

Answer:

its b

Step-by-step explanation:

i took the test

Answer:

C

Step-by-step explanation:

Answer:

\(145 \text{ cm}^2\)

Step-by-step explanation:

We can represent the surface area of the composite figure as:

\(SA = 4(\text{area of triangle side}) + 4(\text{area of rectangle side}) + (\text{area of pyramid base})\)

First, we can solve for the area of one of the triangle sides.

\(A_\triangle = \frac{1}{2}bh\)

\(A_\triangle = \frac{1}{2} \cdot 5 \cdot 4\)

\(A_\triangle = 10 \text{ cm}^2\)

Next, we can solve for the area of one of the rectangle sides.

\(A_\square = lw\)

\(A_\square = 5 \cdot 4\)

\(A_\square = 20 \text{ cm}^2\)

Next, we can solve for the area of the pyramid base.

\(A_\text{base} = lw\)

\(A_\text{base} = 5 \cdot 5\)

\(A_\text{base} = 25 \text{ cm}^2\)

Finally, we can solve for the total surface area of the composite figure by plugging the values we just solved for into the uppermost equation.

\(SA = (4 \cdot A_\triangle) + (4 \cdot A_\square) + A_\text{base}\)

\(SA = 4(10 \text{ cm}^2) + 4(20\text{ cm}^2) + 25\text{ cm}^2\)

\(SA = 40 \text{ cm}^2 + 80\text{ cm}^2 + 25\text{ cm}^2\)

\(\bold{SA = 145 \, \textb{ cm}^2}\)

Answer:

Step-by-step explanation:

175 ÷ 5 = 35

$35 per ticket

Answer:

35

Step-by-step explanation:

It's cuz you want to know how much one ticket costs right?

Sp do 175 divded by 5

You should get 35 as the answer!

the probability that she will correctly answer

A) 10 questions = 0

b) 9 questions =  0.00003

c) 8  questions =  0.00039

d) 7 questions =0.00309

e) 6 questions = 0.01622

f) 5 questions = 0.0584

Here  the total number of  question is 5+3+2= 10, and every question has four possible answers, for this problem, we will be  using the binomial distribution, the formula  is :

\(C_{n,k}\)\(p^{k}\)\(q^{n-k}\) ,here C is the  combination,  p is the probability of success and q is the probability of having the success

for the given situation :

the p = 1/ 4 whereas, q=3/4

here n =10

now  for different values of  k  which is  the number of successes,  we substitute the know values in the formula, and we get

P(k=10) = 0

P(k=9) = 0.00003

P(k=8) = 0.00039

(P=7)= 0.00309

(P=6)=0.01622

(P=5)= 0.0584

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True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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Answer:

80 ; 204 ; undefined ; 400 ; 0 ; 200 ; 320

Step-by-step explanation:

C(x) =(.80x, for 0 500 )

Find the value of :

C(100) = 0.80*(100) = 80

C(255) = 0.80 * 255 = 204

C(550) = undefined

C(500) = 0.80 * 500 = 400

C(O) = 0.80 * 0 = 0

C(250) = 0.80 * 250 = 200

C(400) = 0.80 * 400 = 320

Answer:

d

Step-by-step explanation:

The coordinates of the vertices of the image of the trapezoid are A'(x, y) = (- 4, 1), B'(x, y) = (- 2, 1), C'(x, y) = (- 5 / 2, 5 / 2) and D'(x, y) = (- 7 / 2, 5 / 2).

In this question we have a representation of a trapezoid, whose image has to be generated by a kind of rigid transformation known as dilation, whose equation is described below:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where:

If we know that k = 1 / 2, A(x, y) = (- 5, - 2), B(x, y) = (- 1, - 2), C(x, y) = (- 2, 1), D(x, y) = (- 4, 1), O(x, y) = (- 3, 4), then the coordinates of the vertices of the image are:

Point A'

A'(x, y) = O(x, y) + k · [A(x, y) - O(x, y)]

A'(x, y) = (- 3, 4) + (1 / 2) · [(- 5, - 2) - (- 3, 4)]

A'(x, y) = (- 3, 4) + (1 / 2) · (- 2, - 6)

A'(x, y) = (- 3, 4) + (- 1, - 3)

A'(x, y) = (- 4, 1)

Point B'

B'(x, y) = O(x, y) + k · [B(x, y) - O(x, y)]

B'(x, y) = (- 3, 4) + (1 / 2) · [(- 1, - 2) - (- 3, 4)]

B'(x, y) = (- 3, 4) + (1 / 2) · (2, - 6)

B'(x, y) = (- 3, 4) + (1, - 3)

B'(x, y) = (- 2, 1)

Point C'

C'(x, y) = O(x, y) + k · [C(x, y) - O(x, y)]

C'(x, y) = (- 3, 4) + (1 / 2) · [(- 2, 1) - (- 3, 4)]

C'(x, y) = (- 3, 4) + (1 / 2) · (1, - 3)

C'(x, y) = (- 3, 4) + (1 / 2, - 3 / 2)

C'(x, y) = (- 5 / 2, 5 / 2)

Point D'

D'(x, y) = O(x, y) + k · [D(x, y) - O(x, y)]

D'(x, y) = (- 3, 4) + (1 / 2) · [(- 4, 1) - (- 3, 4)]

D'(x, y) = (- 3, 4) + (1 / 2) · (- 1, - 3)

D'(x, y) = (- 3, 4) + (- 1 / 2, - 3 / 2)

D'(x, y) = (- 7 / 2, 5 / 2)

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