Can Someone please explain also

The hypothesis that is typically used to test the claim is the null hypothesis, which asserts that the average time spent by students studying for a midterm exam is indeed 3 hours. The alternative hypothesis would be that the average time spent is either greater or less than 3 hours.

The null hypothesis is usually denoted as H0 and the alternative hypothesis as Ha. In this case, we can write:

H0: The average time spent by students studying for a midterm exam is 3 hours.

Ha: The average time spent by students studying for a midterm exam is not 3 hours.

To test this hypothesis, a statistical test can be performed, such as a t-test or a z-test, depending on the sample size and the population parameters. The results of the test will determine whether the null hypothesis can be rejected or not. If the null hypothesis is rejected, it means that there is evidence to suggest that the average time spent studying is different from 3 hours. If the null hypothesis is not rejected, it means that there is not enough evidence to suggest that the average time spent studying is different from 3 hours.

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The total area of the square based prism is 413.7 square units

The given parameters are:

Base length, a = 10

Height, h = 11

The total surface area is calculated as:

\(A = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2\)

This gives

\(A = 10^2 + 2 *10\sqrt{\frac{10^2}{4}+11^2\)

So, we have:

\(A = 100 + 20\sqrt{246\)

Evaluate

A = 413.7

Hence, the total area of the square based prism is 413.7 square units

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The surface area of the given cuboid is 158 cm².

To find the surface area of a cuboid, we need to calculate the areas of its individual faces and then sum them up.

A cuboid has six faces: two identical rectangular faces for the base and top, and four identical rectangular faces for the sides.

Given the dimensions of the cuboid as follows:

Length = 8 cm

Width = 5 cm

Height = 3 cm

The surface area of the cuboid can be calculated as follows:

Area of the base: Length × Width = 8 cm × 5 cm = 40 cm²

Area of the top: Length × Width = 8 cm × 5 cm = 40 cm²

Area of the side face 1: Width × Height = 5 cm × 3 cm = 15 cm²

Area of the side face 2: Width × Height = 5 cm × 3 cm = 15 cm²

Area of the side face 3: Length × Height = 8 cm × 3 cm = 24 cm²

Area of the side face 4: Length × Height = 8 cm × 3 cm = 24 cm²

Now, sum up the areas of all the faces:

40 cm² + 40 cm² + 15 cm² + 15 cm² + 24 cm² + 24 cm² = 158 cm²

Therefore, the surface area of the given cuboid is 158 cm².

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Therefore , the solution of the given problem of equation comes out to be  x must be less than -5 for any value of x that causes 5 + x = n to be a negative number.

In order to demonstrate consistency between two opposing statements, variable words are frequently used in sophisticated algorithms. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider expression the details as y + 7 offers. In this case, elevating produces b + 7 when partnered with building y + 7.

Here,

If n is a negative number and 5 + x = n, then x must be less than -5.

This is due to the fact that n would be greater than or equal to 5, which is not a negative number, if x were greater than or equal to -5, which would lead 5 + x to be greater than or equal to 0.

However,

if x is less than -5, then 5 + x will be less than 0, and n will be a negative number because n will be less than 5.

Therefore, x must be less than -5 for any value of x that causes 5 + x = n to be a negative number.

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Answer:

21°F

Step-by-step explanation:

From 7am to noon, the temperature changed by 21°F

Answer:

this is what i got: 15.25 <= d <=16.75

Step-by-step explanation:

The function f(x) = 2 - 5 × 3(x - 2)³⁺¹ is decreasing for all values of x except for x = 2, where it is undefined.

Given the function f(x) = 2 - 5 × 3(x - 2)³⁺¹, we need to find its derivative. Using the power rule of differentiation, we get:

f'(x) = -5 × 3(3+1) × (x - 2)²

Simplifying further, we get:

f'(x) = -60(x - 2)²

Now, we need to determine the intervals where the function is increasing or decreasing.

To find the intervals where f'(x) is positive, we need to solve the inequality f'(x) > 0. We have:

-60(x - 2)² > 0

This inequality is true when (x - 2)² < 0, which is not possible. Therefore, there are no intervals where f(x) is increasing.

To find the intervals where f'(x) is negative, we need to solve the inequality f'(x) < 0. We have:

-60(x - 2)² < 0

This inequality is true when (x - 2)² > 0. This means that f'(x) is negative for all x ≠ 2. Therefore, f(x) is decreasing for all x ≠ 2.

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the area of triangle $AMN$ is 8 square cm.

To find the area of triangle $AMN$, we need to determine the lengths of its base and height.

In square $ABCD$ with side length 4 cm, $N$ is the midpoint of side $BC$, so $BN = NC = \frac{1}{2} \cdot 4 = 2$ cm.

Similarly, $M$ is the midpoint of side $CD$, so $CM = MD = \frac{1}{2} \cdot 4 = 2$ cm.

Now, we can see that $AM$ is the height of triangle $AMN$ and has a length of 4 cm, as it is parallel to side $AD$ of the square.

$AN$ is the base of triangle $AMN$ and has a length of $BN + CM = 2 + 2 = 4$ cm.

Therefore, the area of triangle $AMN$ is given by:

$A_{AMN} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 4 = 8$ square cm.

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the answer is in the picture.. if you have any questions feel free to ask

Answer:

Yup.

Step-by-step explanation:

Each square is 0.48(48/100), and there are four so the answer is 4*0.48 or 0.48*4.

Answer:

Step-by-step expla

The statistical technique that combines results of a large number of studies is called meta-analysis.

It means that you will take data from various sources, such as studies, combine them together, and then create this mixture of various results that you can use in your own research. If something occurs often in those studies, it means that it is good and reliable information.

Answer:5/4

Step-by-step explanation:

Area = length* width

5/8 = 1/2 * width

Width = 5/4

Answer:

5/4 miles.

Step-by-step explanation:

Width = area / length

=  5/8 / 1/2

= 5/8 * 2

= 10/8

= 5/4 miles.

Answer:

X=4

Step-by-step explanation:

3(X+1)+4x+3=34

3x+3+4x+3=34

group like terms

3x+4x=34-3-3

7x=28

divide by 7

X=4

Answer:

written all the angles below:

m<1 = 35°

m<2 = 77°

m<3 = 49°

m<4 = 77°

m <5 = 62°

m<6 = 28°

hope that helps...

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

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

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Answer: 5x + (x + 54) = 6x + 54

So now 6x + 54 = 90 because u are solving a right angle.

90 - 54 is 36. So 6x = 36 and 36 divided by 6 is 6. Your answer for X = 6 Hope this helps you please mark brainliest

Step-by-step explanation:

Answer:

3,240 square meters

Step-by-step explanation:

Area of garden = 90*60= 5400 square meters.

Flowers grown on = 40%

So, grass grown on = (100 -40)% = 60%

60% of 5400 = 0.6*5400 = 3,240.

So, the area of the garden that is grass = 3,240 square meters.

Answer:

D.10÷3

Step-by-step explanation:

ir you try dividing the number 10 by 3 you would get 3.333333 non-stop.

Answer:

A. X + Y

Step-by-step explanation:

From this question x = -2 and y = -5

We are to find out the expression that would give a negative value.

X+Y

(-2)+(-5)

+(-) gives a negative sign. So we have

= -2-5

= -7

For x - y

(-2) - (-5)

-(-) = positive

= -2 + 5

= 3.

For [x][y]

= (-2) x (-5)

= 10

since a negative sign multiplied with another negative sign gives a positive result

For X/Y

= -2/-5

= 2/5 the result here is positive because 2 negative signs when divided cancel out.

Therefore the answer is option A since it's result is negative. Others are positive

If the school now has 1,378 students enrolled, last year, the number of students enrolled was B. 1,300.

Using the mathematical operations of addition, subtraction, division, and multiplication, we can determine the number of students.

Mathematical operations help us to determine unknown values, given a known domain.

Increase in school enrollment over last year's = 6%

Enrollment for the current year = 1,378

Let last year's enrollment = 100%

And the current year's = 1.06 (100 + 6)

Therefore, the enrollment last year = 1,300 (1,378/1.06)

Thus, the enrollment (number) last school year was B. 1,300.

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Answer:

14x

Step-by-step explanation:

2x*7=

2*7=14x

The value of variables x and y are,

⇒ x = 80°

⇒ y = 130°

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, A parallelogram is forming here,

Then, Opposite angels are going to be equal.

Thus, We get;

⇒ y = (x + 50)°

Now, As you know that sum of all angles of a quadrilateral equals 360°

Hence, We get;

2 {(x + 50) + (x - 30)} = 360°

(x + 50) + (x - 30) = 180°

2x + 20 = 180

2x = 160

x = 80°

So, We get;

⇒ y = (x+50)

      = 80 +50

      = 130°

And,

⇒ x = 80°

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The general solution of the differential equation d²y/dx² - 36y = cosh(3x) is: \(C_1e^(^6^x^) + C_2e^(^-^6^x^) - (1/27) cosh(3x)\)

We have the following information from the question is:

The differential equation is given as:

d²y/dx² - 36y = cosh(3x)

Now, we have to solve by using the method of undetermined coefficients, we assume a particular solution of the form:

yₙ = A cosh(3x) + B sinh(3x)

where A and B are constants to be determined.

We have to find the second order derivatives of \(y_p\) with respect to x:

yₙ' = 3A sinh(3x) + 3B cosh(3x) y_p'' = 9A cosh(3x) + 9B sinh(3x)

Substituting these derivatives into the original differential equation,

we get:

(9A cosh(3x) + 9B sinh(3x)) - 36(A cosh(3x) + B sinh(3x)) = cosh(3x)

Simplify the equation, we get :

(9A - 36A) cosh(3x) + (9B - 36B) sinh(3x) = cosh(3x)

This leads to the following system of equations:

-27A = 1

-27B = 0

When solving above two equation we get the value of A and B:

The value of A and B are -1/27 and 0 respectively

Therefore, the particular solution is

yₙ = (-1/27) cosh(3x)

To find the general solution, we need to find the complementary solution, he solution to the homogeneous equation is d²y/dx² - 36y = 0.

The characteristic equation is r² - 36 = 0, which has roots r = ±6.

Hence, the complementary solution is:

\(y_a = C_1e^(^6^x^) + C_2e^(^-^6^x^)\)

where C₁ and C₂ are arbitrary constants.

Therefore, the general solution of the given differential equation is

y = yₙ + yₐ = \(C_1e^(^6^x^) + C_2e^(^-^6^x^) - (1/27) cosh(3x)\)

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The given question is incomplete, complete question is:

Find the general solution for the following differential equation using the method of undetermined coefficients d²y/dx - 36 y = cosh3x.