Complete the table identifying U and DU for the integral

Answer:

0.196

Step-by-step explanation:

Let :

Expresso drink = A

Plain coffee = B

Food = F

P(A) = 0.56

P(B) = 0.44

P(F) = 0.40

P(F|A) = 0.35

P(F|B) = 0.30

Probability that a customer purchases a specialty expresso coffee and a food item :

P(F|A) =. P(F n A) / P(A)

P(F n A) = P(F|A) * P(A)

P(F n A) = 0.35 * 0.56

P(F n A) = 0.196

Given:

A number 72.

To Find:

12% of 72.

Solution:

The given problem can be solved using the concepts of percentages and their applications.

1. The given number is 72.

2. x% of a number n is given by the formula,

=> x% of n = ,

3. x% of a number can also be defined as x parts of 100 multiplied by the given number.

4. 12% of 72 can be calculated using the above number,

=> 12% of 72 =

=> 0.12 x 72,

=> 864/100,

=> 8.64.

Therefore, 12% of 72 is 8.64

Answer:

4 x 2

Step-by-step explanation:

number of rows is 4

number of columns is 2

Answer:

Step-by-step explanation:

It is H

        Function for the graph of the parabola given in the picture attached will be Option (H). f(x) = x² - 6x

          y = a(x - h)² + k

          Here, (h, k) is the vertex of the parabola

Given in the graph,

Equation of the graph with vertex (3, -9) will be,

y = a(x - 3)² - 9

Since, the parabola passes through (0, 0),

0 = a(0 - 3)² - 9

0 = 9a - 9

a = 1

Substitute the value of 'a' in the equation of the parabola,

y = 1.(x - 3)² - 9

y = x² - 6x + 9 - 9

y = x² - 6x

      Hence, the function representing the graph will be f(x) = x² - 6x

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The null hypothesis would be that the population mean life span for Honolulu residents is equal to or greater than 77 years.

There will not be a difference in the reported mean life span of the general Hawaiian population and Honolulu residents. A.

The null hypothesis is a statement that assumes that there is no significant difference between two sets of data.

The null hypothesis would be that the population mean life span for Honolulu residents is equal to 77 years.

This is because the null hypothesis assumes that the mean life span of Honolulu residents is equal to the reported mean life span of the general Hawaiian population, is 77 years.

The researcher wants to test whether this assumption is true or not, and therefore the null hypothesis assumes that there is no significant difference between the two sets of data.

A claim that assumes there is no substantial difference between two sets of data is known as a null hypothesis.

The null hypothesis is that the average lifespan for people living in Honolulu is 77 years.

This is due to the null hypothesis's presumption that Honolulu residents' average lifespans are equal to the 77-year claimed average lifespan of the whole Hawaiian population.

The null hypothesis, which posits that there is no substantial difference between the two sets of data, is based on the researcher's desire to determine whether this assumption is true or not.

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Answer:11/4

Step-by-step explanation: u have to just put it backwards

Answer: I believe it is C.

Step-by-step explanation: Because if you take 4 x 20 = 80

If  I am wrong sorry.

Answer:

B

Step-by-step explanation:

Given

\(\sqrt{ab}\) = \(\sqrt{bc}\) ( square both sides )

ab = bc ( divide both sides by b ) , then

a = c

Given

\(\sqrt{ac}\) = \(\sqrt{4c^4}\) ( square both sides )

ac = 4\(c^{4}\) ( but a = c) , so

4\(c^{4}\) = c² ( subtract c² from both sides )

4\(c^{4}\) - c² = 0 ← factor out c² from each term on the left side

c²(4c² - 1) = 0 ← 4c² - 1 is a difference of squares

c²(2c - 1)(2c + 1) = 0

Equate each factor to zero and solve for x

c² = 0 ⇒ c = 0

2c - 1 = 0 ⇒ 2c = 1 ⇒ c = \(\frac{1}{2}\)

2c + 1 = 0 ⇒ 2c = - 1 ⇒ c = - \(\frac{1}{2}\)

But c > 0 , then c = \(\frac{1}{2}\) → B

Answer:

C is your answer.

Step-by-step explanation:

Hope is right, you're welcome, and good luck on your work.

please don't forget to click in the ❤, and on the ⭐.

The required solution for F(x) = -7 is x = -2.

F is the function defined by F(x)=3x−1

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

F(x) = 3x-1
Now F(x) = -7
⇒-7 = 3x-1
   x = -2

Thus, the required solution for F(x) = -7 is x = -2.

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Answer:

$2.4675

Step-by-step explanation:

you could have just used a calculator for this one tbh

Answer:

C) 19

Step-by-step explanation:

These are vertical angles with same measurement

4x + 3 = 79° subtract 3 from both sides

4x = 76 divide by 4

x = 19

Answer:

Step-by-step explanation:

Begin with monthly his take-home pay (after taxes and other withholdings): $2,000

Subtract all necessary monthly expenses.

$2,000 monthly take-home pay

- $700 rent & utilities

- $400 food

- $400 student loan payment

- $200 personal expenses

- $200 auto insurance & repairs

= $100, which is the maximum amount that Jacob can commit to monthly expenses for his vehicle.

After totaling his monthly necessary expenses ($1,900), it is evident that Jacob could allocate up to $100 per month towards a vehicle payment without having a safety margin, given his monthly take-home pay of $2000.

To calculate the maximum amount Jacob can commit for a monthly vehicle payment, we need to subtract all his necessary monthly expenses from his monthly take-home pay. Jacob's current expenses include:

Adding these expenses together, Jacob spends $1,900 on necessary expenses each month. Therefore, if we subtract this from his monthly take-home pay of $2,000, we find that Jacob could theoretically allocate as much as $100 per month ($2000 - $1900) towards a vehicle payment with no safety margin.

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Answer:

45

Step-by-step explanation:

9 x 5 = 45

45 / 9 = 5

45 is the answer!

The probability that more than 2 students will attend is 0.9179.

Part (a) List the values that X may take on.

X may take on the values 0, 1, 2, 3, ..., 13.

Part (b) Give the distribution of X.

The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23

Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)

We can expect 3 students to attend the festivities.

Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)

The probability that at most 3 students will attend is 0.6923.

Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)

The probability that more than 2 students will attend is 0.9179.

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Note that the parameters of the graph a and graph b are given below.

Graph A - y=2(x-1)²

See graph attached.

Graph B - y = 1/2x² + 3

Vertex: The vertex of the function is (0, 3).

Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.

Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).

Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.

Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.

0 = 1/2 x² + 3

Subtracting 3 from both sides, we get:

-3 = 1/2 x²

Multiplying both sides by -2, we get:

6 = -x²

Taking the square root of both sides, we get:

x = ±√(-6)

Since the square root of a negative number is not a real number, the function has no real roots.

Minimum or maximum value: The minimum value of the function is 3.

Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.

Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.

Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.

See graph attached.


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Answer:

Step-by-step explanation:

To work out the given expression without a calculator, we need to convert the numbers from their respective bases to decimal form and then perform the arithmetic operations. Let's break it down step by step:

11101010 base 2: To convert a binary number to decimal, we multiply each digit by the corresponding power of 2 and sum the results. So, let's calculate:

1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0 = 234.

2122 base 8: To convert an octal number to decimal, we multiply each digit by the corresponding power of 8 and sum the results. Let's calculate:

2 * 8^3 + 1 * 8^2 + 2 * 8^1 + 2 * 8^0 = 1090.

ABC base 16: To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum the results. Let's calculate:

10 * 16^2 + 11 * 16^1 + 12 * 16^0 = 2748.

123 base 8: We already know that 123 is in base 8 (octal), so we can directly convert it to decimal:

1 * 8^2 + 2 * 8^1 + 3 * 8^0 = 83.

Now, let's perform the arithmetic operations:

234 + 1090 + 2748 - 83 = 3989.

Therefore, the result of the given expression in decimal form is 3989.

n⁴ - 2n³ - 23n² + 24n + 144 is the standard form of given zeroes.

What is a linear equation in mathematics?

A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables.

                              A linear equation is an equation that raises a variable to the first power. ax+b = 0 is an example of a 1 variable. x is a variable and a and b are real numbers.  

Roots : -3(mult . 2), 4(mult.2)

the function is given as

     f(n) = (n + 3)² (n - 4)²

         = (n + 3) (n + 3 ) ( n - 4 ) ( n - 4)

        = (n² + 6n + 9) (n² - 8n + 16 )

        = n⁴ - 8n³ + 16n² + 6n³ - 48n² + 96n + 9n² - 72n + 1

collecting like term,

    f(n) = n⁴ - 2n³ - 23n² + 24n + 144

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Answer:

10 tickets for $31.50

Step-by-step explanation:

So If we divide 22.75 by 7 it gives you 3 dollars and 25 cents per ticket

If you divide 31.50 by 10 it gives you 3 dollars and 15 cents.

So In conclusion 10 tickets for $31.50 dollars is the better buy

Answer:

10 Tickets Is The Better Deal

Step-by-step explanation:

So What You Do Is You Will Divide 22.75 By 7

You Will Get 3.25! That Means Its 3.25 Each For 7 Tickets

For The Next One You Do The Same Thing

You Want To Divide 31.50 By 10

You Will Get 3.15! That Means Its 3.15 Each For 10 Tickets

So 3.15 Is 10 Cheaper Than 3.25 So Getting 10 Tickets Is A Better Deal

Hope This Help

DOH! My Brain Hurts

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

Answer:

n ≤ 1 or n ≥ 7

Step-by-step explanation:

solve each part separately

86n + 13 ≤ 99 ( subtract 13 from both sides )

86n ≤ 86 ( divide both sides by 86 )

n ≤ 1

n + 90 ≥ 97 ( subtract 90 from both sides )

n ≥ 7

solution is n ≤ 1 or n ≥ 7

Step-by-step explanation:

- 1.3 < x < 1.8

x={-1.2,-1.1-,-1,0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1,1.1,1.2,1.3,1.4,1.5,1.6,1.7}

I hope it helped U

stay safe stay happy

Plot the given coordinates of the polygon in the coordinate plane and connect it with a smooth curve.

A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides are constructed from segments of straight lines joined end to end.

A coordinate plane is a two-dimensional plane created by the intersection of two number lines. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two of these number lines.

Plot the points on the graph according to the given coordinates. Connect all the points. The polygon is triangle.

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The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

The function in this problem is given as follows:

y = 3x² + 1.

The implicit derivative, relative to the variable t, is given as follows:

dy/dt = 6x dx/dt.

(the derivative of the constant 1 is of zero).

The parameters for this problem are given as follows:

x = 4, dy/dt = 2.

Hence the derivative is obtained as follows:

2 = 6(4) dx/dt

dx/dt = 2/24

dx/dt = 1/12.

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Answer:

$4000

Step-by-step explanation:

.0375x + .02(10000-x) = 270

.0375x + 200-.02x = 270

.0175x + 200 = 270

.0175x = 70

x = 70/.0175

x = $4000 (answer)