The sum of two numbers is 38.when 8 is added to twice one of the numbers, the result is 5 times the other number.find the two numbers​

The null hypothesis is that there is no significant difference in the number of words remembered between the group that texted during the audio clip and the group that did not. The symbol "H0" represents the null hypothesis.

Based on the texting and concentration scenario, let's identify the null hypothesis and what "p" represents in it.
Null hypothesis (H0): There is no significant difference in the number of words remembered by students when they are texting versus when they are not texting during the audio clips. In other words, texting has no effect on concentration.

The null hypothesis is a statistical assumption that says there is no statistical significance in a group of observations. Hypothesis testing is used to test the reliability of a hypothesis using sample data. It is sometimes called "blank" and stands for H0. The null hypothesis, also known as the Conjecture is used in quantitative analysis to test a theory about business, investment, or the economy to determine whether the idea is true or false.

In this hypothesis, "p" represents the difference in the proportions of words remembered while texting and not texting. If p = 0, it means there is no difference in the students' concentration between the treatment (texting) and control (not texting) groups.

Learn more about the Null Hypothesis:

brainly.com/question/28920252

#SPJ11

Answer:

We know that the area of a square of sidelength L, is:

Area = L^2

In this case, we have:

L = 2cm + x cm

And we know that the area of the square is 7cm, then:

Area = 7cm^2 = (2cm + x cm)^2

7cm^2 =  4cm^2 + 4cm*xcm + (x cm)^2

7cm^2 = 4cm^2 + (4*x)cm^2 + x^2 cm^2

Now we can remove all the "cm^2" and just get the numbers:

7 = 4 + 4*x + x^2

We can subtract 4 in both sides to get

7 - 4 = 4 + 4*x + x^2 - 4

3 = 4*x + x^2

This is what whe wanted to prove.

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

a) \(\sqrt{75} =5\sqrt{3}\)

b)\(\sqrt{(162)}=9\sqrt{2\)

c)\(\sqrt{(48)}=4\sqrt{(3)}\).

d)\(\sqrt{243} =9\sqrt{3} .\)

e) \(\sqrt[4]{300}\)

What is simplification?

When anything is made simpler or is broken down to its most basic components, it is referred to as being simplified. It is a simplification, as is any such diagram. Making anything simpler is the act or process of simplification.

a) \(\sqrt(75)=\sqrt(25*3)=\sqrt(25)*\sqrt(3)=5\sqrt(3).\)

b) \(\sqrt(162) =\sqrt(81 * 2) = \sqrt(81) * \sqrt(2) = 9 \sqrt(2).\)

c) \(\sqrt(48) = \sqrt(16 * 3) = \sqrt(16) * \sqrt(3) = 4 \sqrt(3).\)

d) \(\sqrt(243) = \sqrt(81 * 3) = \sqrt(81) * \sqrt(3) = 9 \sqrt(3).\)

e) \(\sqrt[4]{300}\)

= 2 x 2 x root(3, 4) x 5

= 4 root(3, 4) x 5

= 20 root(3, 4)

f) 3√(125) = 3 x √(125)

= 3 x 5 √(5)

= 15 √(5)

To know more about simplification visit,

brainly.com/question/2804192

#SPJ1

Answer:

(2p-3)² = 4p²-9

may it can help you .

mark me as brainliest pls

The required answer is the filled volume for "Guzzle" bottles is between 0.0054oz and 0.0197oz.

Based on the given information, the bottlers of "Guzzle" are experiencing issues with the filling mechanism for their 16oz bottles. To estimate the population standard deviation of the volume, the filled volume for 20 bottles was measured, yielding a sample standard deviation of 0.1oz.
To compute a 95% confidence interval for the standard deviation, we can use the formula:

CI = ( (n-1) * s^2 / X^2_α/2, (n-1) * s^2 / X^2_1-α/2 )

Where CI is the confidence interval, n is the sample size (in this case, 20), s is the sample standard deviation (0.1oz), X^2_α/2 is the chi-squared value for the upper tail of the distribution with α/2 degrees of freedom (where α = 0.05 for a 95% confidence interval), and X^2_1-α/2 is the chi-squared value for the lower tail of the distribution with 1-α/2 degrees of freedom.
Using a chi-squared table or calculator, we can find that X^2_α/2 = 31.410 and X^2_1-α/2 = 10.117.
Plugging in the values, we get:
CI = ( (20-1) * 0.1^2 / 31.410, (20-1) * 0.1^2 / 10.117 )
Simplifying, we get:
CI = (0.0054, 0.0197)
Therefore, we can say with 95% confidence that the population standard deviation of the filled volume for "Guzzle" bottles is between 0.0054oz and 0.0197oz.

To know more about standard deviation  . Click on the link.

https://brainly.com/question/23907081

#SPJ11

Answer:

f(1/4) = -5.25

Step-by-step explanation:

Plug 1/4 as x

4x^2 + 2x - 6

= 4*1/4^2 + 2x1/4 - 6

= 4*1/16 + 1/2 - 6

= 1/4 + 1/2 - 6

= 3/4 - 6

= -5 1/4 = -5.25

Answer:

f(1/4)=-5.25

Step-by-step explanation:

Answer:

the answer are x=4y-20

and x represents the independent variable and y represents the dependent variable

Answer:

4

Step-by-step explanation:

In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature. For example, in a signature consisting of a single binary operation, the term algebra over a set X of variables is exactly the free magma generated by X

f(j(a)) make sense in the context.

f(s) represents the perimeter of the pentagon (in cm) whose side length is s cm. (Given)      (1)

g(p) represents the side length (in cm) of a regular pentagon whose perimeter is p cm. (Given)                  (2)

h(s) represents the area (in cm​​​​​2) of s regular pentagon whose side length is s cm. (Given)              (3)

j(a) represents the side length (in cm) of a regular pentagon whose area is a cm​​​​​2. (Given)               (4)

a. Perimeter = 133 cm      (given)

Side length of the regular pentagon whose perimeter is 133 cm=g(133)        (using 2)      (5)

Area of the regular pentagon whose side length is g(133)=h{g(133)}          (using 3)

b. Area = 6.38 cm​​​​​2       (given)

Side length of the regular pentagon whose area is 6.38 cm​​​​​2=j(6.38)        (using 4)

Perimeter of the regular pentagon whose side length is j(6.38)=f{j(6.38)}        (using 1)

Hence the answer is f(j(a)) make sense in the context.

To learn more about the pentagons click here https://brainly.com/question/1419173

#SPJ4

Answer:

\(a_n=a_{n-1}+2^{n-1}\ \ n>1\)

Step-by-step explanation:

Recursive Sequence

We are given the following sequence:

-1, 1, 5, 13...

It's required to find the recursive term for the sequence.

A recursive formula calculates each term as a function of one or more previous terms.

To find the recursive formula, we must find a pattern and transform it into a math expression.

Let's write the sequence, and below it, the difference of consecutive terms:

-1,   1,   5,   13...

+2,  +4,  +8

Note the difference between consecutive terms is always a power of 2, starting from 2^1, 2^2, 2^3.

The exponent is one less than the number of the term, thus:

\(a_n-a_{n-1}=2^{n-1}\)

Thus:

\(\mathbf{a_n=a_{n-1}+2^{n-1}\ \ n>1}\)

Testing:

n=1

\(a_1=-1\) (given).

n=2

\(a_2=a_{1}+2^{2-1}=-1+2^{1}=1\)

n=3

\(a_3=a_{2}+2^{3-1}=1+2^{2}=5\)

n=4

\(a_4=a_{3}+2^{4-1}=5+2^{3}=13\)

Answer:

si, eso es correcto

Step-by-step explanation:

Espero que esto ayude a marcar el MÁS CEREBRAL !!!

Hence , it is to be quadratic function where a has to be less than zero.

Given that ,

The table contains data on the number of people visiting a historical landmark over a period of one week.

We have to find,

The relationship between the day and the number of visitors.

According to the question,

\(y = a\sqrt{x} + b\)

And where x = no. of days = 1

y = no. of visitors = 45

45 = a \(\sqrt{1}\) + b

45 = a + b

And When x = 2 and y = 86

86 = \(a\sqrt{2} + b\)

Solving the equation for the values of a and b.

From equation 1

45 - a = b

Put the value of b in equation 2

86 = \(a\sqrt{2}\) + 45 - a

86 - 45 = \(a \sqrt{2} - a\)

41 = a (\(\sqrt{2} - 1\) )

\(a = \frac{41}{\sqrt{2} - 1 }\\\\a = \frac{41}{0.41}\)

a = 100

Put the value of a = 100

45 = 100 + b

45 - 100 = b

b = -55

The required equation is y = 100\(\sqrt{x}\) -55.

When  x = 4

\(y = 100\sqrt{2} - 55\\\\ y = 100 ( 1.4 ) - 55\\\\y = 140 - 55\\\\y = 85\)

And when x = 5

\(y = 100\sqrt{5} - 55\\\\y = 223.5 - 55\\\\y = 168.60\)

y = 168 ( approx )

Therefore, 168 ≠ 158

Since the function rises less and less in later stage , it can not be a first order function.

So, it is to be quadratic function where a has to be less than zero.

For more information about quadratic equation click the link given below.https://brainly.com/question/2263981

It will take approximately 35 years for the ratio A/A₀ to reach 0.0100 for the given isotope with a half-life of 5.27 years.

To find out how long it will take for the ratio A/A₀ to reach 0.0100 for an isotope with a half-life of 5.27 years, we can use the equation:

\(A/A_o = 2^{(-t/T)\)

We need to solve for t. Rearranging the equation, we have:

\(2^{(-t/T) } = A/A_o\)

Taking the logarithm of both sides (base 2), we get:

\(log_2(2^{(-t/T)} )= log_2 (A/A_o)\)

Using the property of logarithms, we can rewrite the equation as:

\((-t/T) \times log_2 (2) = log_2 (A/A_o)\)

Since log₂(2) = 1, the equation simplifies to:

-t/T = log₂(A/A₀)

Now, we can substitute the given values:

A/A₀ = 0.0100

T = 5.27

Therefore:

-t/5.27 = log₂(0.0100)

Solving for t:

-t = 5.27 × log₂(0.0100)

Now, we'll calculate the right side of the equation:

log₂(0.0100) ≈ -6.6439

-t = 5.27 × (-6.6439)

t ≈ 34.99

Hence, rounding to the nearest year, it will take approximately 35 years for the ratio A/A₀ to reach 0.0100 for the given isotope with a half-life of 5.27 years.

Learn more about half-life click;

https://brainly.com/question/31666695

#SPJ1

Answer:

(-3x -3 - 24x/(x²-5))

Step-by-step explanation:

(x - 3x³ - 3x² - 10x + 15) / p = x² - 5

(-3x³ - 3x² - 9x + 15) / p = x² - 5

p = (-3x³ - 3x² - 9x + 15)/(x² - 5) = -3x - 3 - 24x/(x² - 5)

- -3x³ + 15x

---------------------------------

0 - 3x² - 24x + 15

- - 3x² + 15

‐-----------------------------------

0 - 24x + 0

Step-by-step explanation:

have you taken the picture from the PC which website is this is tell me

The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Learn more about divergence of the vector this link:

https://brainly.com/question/30907324

#SPJ11

To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:

Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
  Loan Amount = $300,000 - $75,000 = $225,000    

Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.

Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.

Use the PMT function in Excel to calculate the monthly principal + interest payment.
  Monthly Payment = -PMT(0.00229, 360, 225000)

The negative sign is used because the payment is an outgoing cash flow.

By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.

To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.

To know more about payments , visit ;

https://brainly.in/question/8680323

#SPJ11

Answer:

Pretty sure it's <A and maybe <AOS

Step-by-step explanation:

I'm not positive but I hope this helped

       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

Learn more about  Average Total Cost

brainly.com/question/29306232

#SPJ11

The probability of answering a question correctly is 0.7 + 0.3/N.

Given: N answer choices for each question; a student knows the answer to 70% of the questions; and the student guesses uniformly and at random for remaining 30% of the questions.

Let K be the event that the student knows the answer to a question and R be the event that the student answers the question correctly.

The probability of event K can be calculated as:

P(K) = 0.7The probability of event K' (not knowing the answer) can be calculated as:

P(K') = 0.3The probability of event R given K can be calculated as:

P(R|K) = 1The probability of event R given K' can be calculated as:P(R|K') = 1/N

Therefore, the probability of event R can be calculated using the law of total probability:

P(R) = P(K)P(R|K) + P(K')P(R|K')P(R)

= 0.7 × 1 + 0.3 × (1/N)P(R)

= 0.7 + 0.3/N

Therefore, the probability of answering a question correctly is 0.7 + 0.3/N.

To learn more about probability visit;

https://brainly.com/question/31828911

#SPJ11

Answer:

  False

Step-by-step explanation:

You want to know if it is true that the graph of a rational function cannot cross a horizontal asymptote.

Once a function is on its final approach to an asymptote, it will approach, but not cross, that asymptote.

The function may have a variety of behaviors prior to that point, so may cross the horizontal asymptote one or more times before its final behavior is established.

An example with the asymptote y = 0 is attached.

<95141404393>

Since we do not have the sample data, we cannot perform the hypothesis testing. However, we can discuss the general procedure.

A. To test whether the walking program significantly reduces SBP, we need to set up the null and alternative hypotheses. Let  be the population mean SBP before the walking program, and let  be the population mean difference in SBP (after - before). Then the hypotheses are:

there is no significant difference in SBP before and after the walking program)

(the walking program significantly reduces SBP)

We choose a one-tailed test because we are interested in a decrease in SBP. The significance level is 5%.

Next, we collect data from a random sample of patients who participate in the walking program. We calculate the sample mean difference, denoted by, and the standard error of the mean difference, denoted by . We then calculate the test statistic:

Under the null hypothesis, the test statistic follows a t-distribution with n-1 degrees of freedom, where n is the sample size. We can then calculate the p-value, which is the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true. If the p-value is less than 0.05, we reject the null hypothesis and conclude that there is evidence that the walking program significantly reduces SBP.

B. When drawing conclusions from a hypothesis test, there are two types of errors that can occur: type I error and type II error. Type I error occurs when we reject a null hypothesis that is actually true. The probability of making a type I error is equal to the significance level, which is 5% in this case. Type II error occurs when we fail to reject a null hypothesis that is actually false. The probability of making a type II error depends on the sample size, the magnitude of the difference between the null and alternative hypotheses, and the variability of the data.

To learn more about sample click here: brainly.com/question/12823688

#SPJ11

Answer:

Y= 9w - x - z

Step-by-step explanation:

Answer: c

Step-by-step explanation: i just took the quiz :)