5) Among a sample of 75 students selected at random from one college, the mean number of siblings is 1.4 with a standard deviation of 1.2. Find a 95% confidence interval for the mean number of siblings for all students at this college.

Answer:

1st. supplementary angles

2nd.vertical angles

3rd. angles around a point

4th. complementary angles

Step-by-step explanation:

Answer:

one with circle is angles around a point

120 and 60 supplementary

27 and 63 complimentary

a and b vertical

Step-by-step explanation:

The area of the triangle is 44.5 square units

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

a = 11.6

b = 17.2

c = 8.6

B = 116.8 degrees

The area of the triangle can be calculated using

Area = 1/2 acsin(B)

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 11.6 * 8.6 * sin(116.8 degrees)

Evaluate

Area = 44.5

Hence, the area is 44.5

Read more about area at

https://brainly.com/question/22972014

#SPJ1

The area of the triangle is 44.4 squared units ( nearest tenth)

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

The area of a triangle is expressed as : 1/2bh or 1/2 absin C

since the triangle is not a right angled triangle, we use 1/2 absin(tetha)

a = 11.6

b = 8.6

C = 116.8°

A = 1/2 absin C

A = 1/2 × 11.6 × 8.6 sin116.8°

A= 1/2× 11.6 × 8.6× 0.89

A= 88.768/2

A= 44.4 squared unit( nearest tenth)

Therefore the area of the triangle is 44.4 squared units.

learn more about area of a triangle from

https://brainly.com/question/17335144

#SPJ1

Therefore, the reference angle of 7π/4 is 3π/4, and tan 0 = 1.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, especially right triangles. It involves the study of trigonometric functions such as sine, cosine, tangent, and their inverses, as well as their applications in various fields such as physics, engineering, and navigation. Trigonometry is an important tool for solving problems involving angles, distances, and heights, among others.

Here,

The reference angle for an angle θ is the positive acute angle formed by the terminal side of θ and the x-axis.

To find the reference angle for 7π/4, we can subtract π from it since the angle is in the fourth quadrant.

Reference angle = 7π/4 - π

= 3π/4

To find tan 0, we need to use the tangent function:

tan θ = opposite/adjacent

Since we don't know the sides of the triangle, we need to use the reference angle to find the ratio.

The reference angle of 3π/4 is in the second quadrant, where x is negative and y is positive. We can draw a triangle with sides of length 1, 1, and √2, where the hypotenuse is the line with angle 3π/4.

Then, tan(3π/4) = opposite/adjacent

= 1/-1

= -1

So, tan 0 = tan (7π/4)

= tan (3π/4 + π)

= -tan(3π/4)

= -(-1)

= 1.

To know more about trigonometry,

https://brainly.com/question/29002217

#SPJ1

Answer:

5.17×10³

Step-by-step explanation:

5.170×10³

5.17×10³

Answer:

The answer to this question is 5.17×10^3

When factoring a polynomial in the form ax2 + bx + c, where a, b, and c are positive real numbers, the signs in the binomials should be both positive

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The form of the polynomial is given as:

ax2 + bx + c

Where a, b, and c are positive real numbers.

Since a, b, and c are positive real numbers. then the form of the expansion would be:

ax2 + bx + c = (dx + e)(fx + g)

Take for instance, we have the following quadratic equation

x^2 + 6x +  8

Expand the equation

x^2 + 6x +  8 = x^2 + 4x + 2x +  8

Factorize the equation

x^2 + 6x +  8 = (x + 2)(x + 4)

Hence, the signs in the binomials should be both positive

Read more about polynomials at:

https://brainly.com/question/4142886

#SPJ1

The Bernoulli differential equation is a nonlinear ordinary differential equation of the form:

dy/dx + P(x)y = Q(x)y^n, where n ≠ 0, 1.

For n = 0 or n = 1, the equation is linear. For other values of n, a common technique to linearize the equation is to make the substitution y = v^(-1/n-1). The resulting equation is:

dv/dx + (P(x) + Q(x)/v^(1/n-1)) * (1/n-1) * v^(1/n-2) * dv/dx = 0.

For the initial value problem given, we have P(x) = -1/x, Q(x) = -5, and n = 2.

We make the substitution y = v^(-1), so v = y^(-1), and dv/dx = -y^(-2)dy/dx. The equation becomes:

-y^(-2)dy/dx + (-1/x - 5y^2) = 0.

We have the initial condition y(1) = 1/5. In terms of v, the initial condition becomes v(1) = 1/(1/5)^2 = 25.

Now, the differential equation is linear, and we can solve it using standard methods, such as separation of variables. To find the solution that satisfies the initial condition, we may use numerical methods such as the Euler method or Runge-Kutta method.

To Know more about Bernoulli equation

https://brainly.com/question/15396422

#SPJ4

According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

Learn more about probability in: https://brainly.com/question/31828911

#SPJ1

Answer:   m = \(- \frac{6}{7}\)

Answer:

The first step is to calculate the average daily balance for the billing cycle. This is done by adding up the daily balances for each day of the billing cycle and then dividing by the number of days in the billing cycle. In this case, the billing cycle is from July 7 to August 6, so there are 31 days in the billing cycle.

The daily balances are as follows:

* July 7: $216.71

* July 14: $268.75

* July 17: $284.37

* July 21: $116.71

* July 24: $260.74

The average daily balance is therefore $226.81.

The next step is to calculate the finance charge. This is done by multiplying the average daily balance by the interest rate and then by the number of days in the billing cycle. In this case, the interest rate is 1.25% and the number of days in the billing cycle is 31 days.

The finance charge is therefore $7.43.

The final step is to calculate the new balance. This is done by adding the finance charge to the previous balance. In this case, the previous balance is $216.71 and the finance charge is $7.43. The new balance is therefore $224.14.

Here is the solution in mathematical form:

* Average daily balance = (216.71 + 268.75 + 284.37 + 116.71 + 260.74) / 31 = 226.81

* Finance charge = 226.81 * 0.0125 * 31 = 7.43

* New balance = 216.71 + 7.43 = 224.14

Step-by-step explanation:

Answer:

g(f(-1)) = 48

Step-by-step explanation:

given the following

f(x) = 5x² + 2

g(x) = x²-1

g(f(x)) = g(5x²+2)

Replace x with 5x² + 2 in g(x) as shown;

g(5x²+2) = (5x²+2))²- 1

g(f(x)) = (5x²+2))²- 1

g(f(-1)) = (5(-1)²+2))²- 1

g(f(-1)) = (5+2))²- 1

g(f(-1)) = (7)²- 1

g(f(-1)) = 49 - 1

g(f(-1)) = 48

Answer:

500 and 4.3

Step-by-step explanation:

A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.

5000 × 0.1 = 500

4300 × 0.001 = 4.3

Thus, the answers [in order] are 500 and 4.3

Hope this helps and feel free to ask any questions.

The statements that are true are B and D.

Given are some statements we need to check which is true.

Let's analyze each statement:

A. 4 is a perfect cube.

False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.

B. 16 is a perfect square.

True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.

C. 2,197 is both a perfect square and a perfect cube.

False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.

However, it is a perfect cube because 13³ equals 2,197.

D. 8 is a perfect cube.

True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.

E. 18 is neither a perfect square nor a perfect cube.

True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.

Therefore, the statements that are true are B and D.

Learn more about perfect cube and perfect square click;

https://brainly.com/question/13326108

#SPJ1

Answer:

12.8 seconds

Step-by-step explanation:

Create a proportion where x is the number of seconds for 80 feet

\(\frac{25}{4}\) = \(\frac{80}{x}\)

Cross multiply and solve for x

25x = 320

x = 12.8

So, the answer is 12.8 seconds

Two functions that are increasing on all points across the domain that is common to both functions is represented by graph 1.

Calculus uses a function's derivative to determine whether a function is increasing or decreasing at various intervals in a specific domain. Given a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.

From the given graphs we observe the following:

Graph 1:

For the domain of the two graphs the two functions increase continuously.

Graph 2:

For the domain of the two graphs the function in blue increases, but the function in the red decreases.

Graph 3:

For the domain of the two graphs the function in blue increases, but the function in the red decreases.

Graph 4:

For the domain of the two graphs the function in blue increases, but the function in the red decreases.

Hence, two functions that are increasing on all points across the domain that is common to both functions is represented by graph 1.

Learn more about function here:

https://brainly.com/question/12431044

#SPJ1

*Answer*

15:47

Step-by-step explanation:

He left; 15:03

Walk for; 12mins

Spends extra;4min

So by my side,

I'll sum up those values we're having to find the total time that was spent

12+4= 16mins

So, at that time when he reached at the station it was 15:19 when we add those extra mins

And so I think it'll 15:47

My thought told me so though

Answer:

Order of Operations.

Step-by-step explanation:

If we include -7 in the parenthesis, the exponent acts the negative as well. Therefore:

(-7)²= 49.

However, when squaring without the parenthesis, it will give us a negative number because:

The order of operations, or PEMDAS, states that exponents come before multiplication. Therefore, when doing '-7²', you would first need to square the '7', giving us:

-7² = -49

However, within parenthesis, everything inside will be squared.

If greenfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years.  the total increase or decrease in income by replacing the current equipment with the new equipment is:$22,000 decrease.

Here, we have,

to find the increase or decrease in income

Annual Savings $76,000

($19,000 × 4 years)

Add Proceeds from Sale of Machine $22,000

Total  $98,000

Total increase or decrease in income = $98,000 - $120,000

Total increase or decrease in income = $22,000 (Decrease)

Therefore the decrease in income is $22,000.

Learn more about decrease in income here:

brainly.com/question/28344066

#SPJ1

complete question:

granfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years. at the end of the four years the equipment will have a zero-salvage value. granfield can purchase new equipment for $120,000 and receive $22,000 in return for trading in its current equipment. the current equipment has variable manufacturing costs of $39,000 per year. the new equipment will reduce variable manufacturing costs by $19,000 per year over its four-year life. the total increase or decrease in income by replacing the current equipment with the new equipment is:

Answer:

\(x = 2\)

Step-by-step explanation:

add the distribution property, then add 30 then - 14x then divide by 11

Answer:

25/2

Step-by-step explanation:

5/6 x 15=12.5

12.5 in simplest form is 25/2

Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

Answer:

60

Explanation:

The new superset list is

2, 2, 3, 5

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 x 5 = 60

In exponential form:

LCM = 22 x 31 x 51 = 60

LCM = 60

Therefore,

LCM(4, 5, 6) = 60

The missing domain values of the function are:

f ( x ) = 3x ; 0 ≤ x ≤ 2

f ( x ) = 6 + 4 ( x - 2) for 2 < x ≤ 5

f ( x ) = 20 for x > 5

We have,

If the car is parked in the parking garage for less than two hours, there is a $3 per hour fee.

So,

The Parking fees = 3x for 0 ≤ x ≤ 2

We now understand, the parking fee is if the vehicle is parked for more than 2 hours but less than 5 hours will be:

6 + 4 ( x - 2) for 2 < x ≤ 5

We now know that if the automobile is parked for longer than five hours, a set price of $20 is charged. As a result, the parking price will be

20 for x > 5

Therefore, the function will be:

f ( x ) = 3 x ; 0 ≤ x ≤ 2

f ( x ) = 6 + 4 ( x - 2) for 2 < x ≤ 5

f ( x ) = 20 for x > 5

Learn more about function here:

brainly.com/question/4025726

#SPJ9

Answer:

Ans ; 6.5 g

Step-by-step explanation:

Ans; 1.25050+2.50055+2.74099 = 6.49204 = 6.49 = 6.5 g