Suppose 600 of 2,000 registered UOM students sampled said they planned to
register for the summer semester. Using the 95% level of confidence, what is
the confidence interval estimate for the population proportion (to the nearest
tenth of a percent)?

Answer:

n= 8

Step-by-step explanation:

The SI units of the proportionality constant G is Newton \(Kg^{-2} m^2\)

Gravitational force is given by Newton's law of gravitation which states that every particle of matter in the cosmos is drawn to every other particle by a force of attraction that varies directly with the product of their masses and is inversely proportional to the square of the distance or degree of separation from each other.

F = G \($ \frac{m_1 m_2}{r^2}\)

Upon rearranging the terms we get,

G = \($\frac{F r^2}{m_1 m_2}\)

Where F is the gravitational force, \(m_{1}\) and \(m_{2}\) are masses, and r is the length.

Force has the SI units kg · m/s2

The SI units of the proportionality constant G

SI Unit of G = \($\frac{(\text { Newton })\left(\mathrm{m}^2\right)}{\mathrm{kg} ^2}\)

= Newton \(Kg^{-2} m^2\)

Therefore the units are Newton \(Kg^{-2} m^2\)

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Newton's law of universal gravitation is represented by F = G \($ \frac{m_1 m_2}{r^2}\) where F is the gravitational force, \(m_{1}\) and \(m_{2}\) are masses, and r is a length. force has the SI units kg· m/s2. what are the SI units of the proportionality constant G?

Answer:

Read Step by step

Step-by-step explanation:

For number 5. This is the Transitive property because they mirror each other.

for 3, this is the symmetric property as they are split by a single shared line and they are both of equal properties.

Answer:

True, she would need to order 48.

Step-by-step explanation:

If you divide the expected number of people (120) by the number of balloons per person (120 divided by 5) then multiply that by 2 you get 48.

their gd7v7gvugvrty

Step-by-step explanation:

7yvtc

The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, cubic, quadratic, etc.

A polynomial with two terms is known as a binomial. Hence:

The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.

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There are 35 possible samples of size 3 that can be taken without replacement from this finite population as Here a finite population p = {3, 6, 9, 12, 15, 18, 21}

We want to get how many samples of size 3 can be taken without replacement.
To get the number of samples of size 3, we will use the combination formula: C(n, k) = n! / (k!(n - k)!)
Where n is the population size, k is the sample size, and ! denotes the factorial.
In this case, n = 7 (since there are 7 numbers in the population) and k = 3 (since we want samples of size 3).
Plugging these values into the formula:
C(7, 3) = 7! / (3!(7 - 3)!)
C(7, 3) = 7! / (3!4!)
C(7, 3) = (7 × 6 × 5 × 4 × 3 × 2 × 1) / ((3 × 2 × 1) × (4 × 3 × 2 × 1))
C(7, 3) = (7 × 6 × 5) / (3 × 2 × 1)
C(7, 3) = 210 / 6
C(7, 3) = 35
There are 35 possible samples of size 3 that can be taken without replacement from this finite population.

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Answer:

No they will no have the same strength. So what I did was find a common number between them so between 8 and 6 they both can be multiplied to 24. So 6 goes into 24 4 times so I multiplied 3 times 6 and then 8 goes into 24 3 times so I multiplied 3 and 5 and so the final answer is that bart has more strong fertilizer

Step-by-step explanation:

6*4=24 4*3=12

8*3=24  5*3=15

Let x be pounds of hamburger and y be pounds of hot dogs.

The equation is: 8x + 6y ≤ 75.

An equation is a mathematical statement that uses the equal sign (=) to show that two expressions are equal. Equations can include variables, which are symbols that represent unknown or changing values. Solving an equation means finding the value of the variable that makes the equation true. Equations are commonly used in many areas of mathematics, science, and engineering, as well as in everyday life.

Let x be the pounds of hamburger purchased and y be the pounds of hot dogs purchased.

The cost of hamburger at $8 per pound would be 8x dollars.

The cost of hot dogs at $6 per pound would be 6y dollars.

The total cost of the purchases should not exceed $75, so we can write:

8x + 6y ≤ 75

This is the equation that represents Breanna's situation, where x represents the pounds of hamburger purchased and y represents the pounds of hot dogs purchased, and the total cost of the purchases should not exceed $75.

Therefore, Let x be pounds of hamburger and y be pounds of hot dogs.

The equation is: 8x + 6y ≤ 75.

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Answer & Step-by-step explanation:

\(Circumference=d\pi\)

The diameter of the circle is 24 mm. So, let's add in the diameter and find the circumference of the circle.

\(Circumference=(24)\pi\)

We will use 3.14 for pi.

\(Circumference=75.36\)

So, the circumference of the circle is 75.36 mm.

Answer:

Sale price:  $722.50

Step-by-step explanation:

Subtract 15% from 100%, obtaining 85%.  The computer is sold for 85% off.

Converting this 85% to a mixed decimal, we get 0.85, and then we multiply the original price ($850) by this 0.85:  0.85($850) = $722.50

Answer:

x = 6

Step-by-step explanation:

since line m bisects CW at point T , then

CT = TW = 3x + 2

and

CT + TW = CW

3x + 2 + 3x + 2 = 40

6x + 4 = 40 ( subtract 4 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

Answer:

Step-by-step explanation:

To find the value of x, we can use the property of a bisector that divides a line segment into two equal parts. Therefore, CT = TW.

Given that CW = 40 and TW = 3x + 2, we can substitute TW with CT to get:

CT = TW

CT = 3x + 2

We also know that CW = CT + TW, so we can substitute the values of CT and TW to get:

CW = CT + TW

40 = CT + (3x + 2)

38 = CT + 3x

38 - 3x = CT

Since line m bisects CW at point T, we know that CT = TW. Substituting this into the equation above, we get:

38 - 3x = TW

38 - 3x = 3x + 2

36 = 6x

x = 6

Answer:

  \(\textbf{A. }4\sqrt{6}\)

Step-by-step explanation:

The hypotenuse of the isosceles right triangle is √2 times the length of one leg, so is 6√2.

The hypotenuse of the 30°-60°-90° right triangle is 2/√3 times the length of the longer leg.

  \(x=\dfrac{2}{\sqrt{3}}\cdot 6\sqrt{2}\\\\=\dfrac{(2\sqrt{3})(6\sqrt{2})}{3}\quad\text{rationalize the denominator}\\\\\boxed{x=4\sqrt{6}}\)

Answer:

The interest is $0.03

Step-by-step explanation:

($720*0.014)/365

The first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

\(\rm A = P(1+\dfrac{r}{n})^{nt}\)

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

P =$720

r = 1.4% = 0.014

n = 365

t = 1 day

\(\rm A = 720(1+\dfrac{0.014}{365})^{365\times1}\)

After solving:

A = $730.15

The interest I = A - P

I = $730.15 - 720

I = $10.15

Thus, the first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

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Step-by-step explanation:

-3x² + 2y² + 5xy -2y + 5x² - 3y²

= -3x² + 5x² +2y² -3y² + 5xy -2y

= 2x² - y² +5xy -2y

2 terms

The number of units produced does not affect net operating income when using absorption costing.

All production expenses, including direct materials, direct labour, and both variable and fixed overhead costs, are included in the cost of each unit produced in absorption costing. This means that as more units are manufactured, the total manufacturing cost is distributed over a greater number of units, resulting in a reduced cost per unit.

Variable costing, on the other hand, includes only variable production expenses, such as direct materials, direct labor, and variable overhead costs, in the cost of each unit produced. Fixed manufacturing overhead costs are considered period expenses and are not included in the product cost.

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Given that a class has 8 girls and 2 boys. The teacher randomly picks 8 students. We need to find the probability that she will pick all girls.

To find the probability of the event, we need to use the formula for the probability of an event, which is:

P (event) = Number of favorable outcomes / Total number of outcomes Probability of picking all girls out of 10 studentsSince there are 8 girls and 2 boys in the class, the total number of students is 10.

There are only 8 girls, so the only way to pick all girls is if all 8 girls are selected out of the 10 students.

Total number of outcomes = 10 C8 = 45 (number of ways to pick 8 students out of 10) Number of favorable outcomes = 1 (since there is only one way to pick all 8 girls)

Therefore, the probability of the teacher picking all girls is:P (all girls) = 1/45 Thus, the probability of the teacher randomly picking all girls out of 8 girls and 2 boys is 1/45.

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Answer:

21

and 24

Step-by-step explanation:

let the ratio be 7x and 8x

then,

7x + 8x = 45

15x = 45

X = 45/15

X =3

so

7x =7*3=21

8*=8*3=24

Answer:

Option C

Step-by-step explanation:

2*-1 = -2

2*0 = 0

Answer:

3.5 hours

Step-by-step explanation:

First, subtract the consultation fee from $262.50 as it is a one off charge and is not applied hourly

$262.50 - 35 = $227.50

Then find how many times $65 fits into $227.50, in this case it is 3.5 times

To find this on a calculator:

$227.50 / $65 = 3.5

Hope this helps :)

Answer:

y = 6x

Step-by-step explanation:

y-intercept = 0

slope = 6

Answer:

y = 6x

Step-by-step explanation:

Answer:

2.1400

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

Answer:

B (the second one)

Step-by-step explanation:

The thin yellow line in A only goes from 14-30. However, the correct numbers listed range from 12-30. Line B matches up with this data

Answer:

c

Step-by-step explanation:

I did the test and got it correct

The correct for the new member's score will affect center and spread of the bowling team is,

⇒ The new member's score will increase the center and spread of the bowling team.

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

Given that;

The members of a bowling team score from 159 to 221. Their average score is 172.

And, A new member with an outlying score of 279 joins the team.

We know that;

When we add new member with an outlying score of 279 joins the team, the value of average is increase.

Thus, The correct for the new member's score will affect center and spread of the bowling team is,

⇒ The new member's score will increase the center and spread of the bowling team.

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Answer:

Money in the cash box is $150

Step-by-step explanation:

Let

x = money in the cash box

1/5 of the money in a cash box is 30 dollars

1/5 of x = $30

1/5 * x = 30

1/5x = 30

Divide both sides by 1/5

x = 30 ÷ 1/5

= 30 × 5/1

= 150/1

x = $150

Money in the cash box is $150

Answer:

its 240

Step-by-step explanation: 10 x 8 x 3 = 240 :)

Answer:

a) Volume= length x width x height  v=l x w x h

b) 240 cm^3 (cm cubed)

Step-by-step explanation:

Substitute into this formula

v=l x w x h

 10 x 8 x 3 = 240

So 240 cm^3 (cm cubed)

Important note: Remember to include units, as they may not be given to you in the exam

Answer:

Answer = 7m

Step-by-step explanation:

26m = perimeter

6+6+x+x=26

12+2x=26

2x=14

x=7

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Answer:

4.8kg

Step-by-step explanation:

Answer:

Step-by-step explanation:

24 / 5 = 4.8.

20% of 24 kg is 4.8kg

Answer:

A cada uno le toca:

2/15

del total de la pizza.

Step-by-step explanation:

1/3 + 2/5 = 5 / 15 + 6 / 15 = 11/15

los dos, inicialmente, han almorzado

11/15

de la pizza.

Si el resto lo dividen en dos partes:

15/15 - 11/15 = 4/15

el resto es de 4/15

al dividir este resto entre los dos:

(4/15) / 2 = 4/(15*2) = 4/30 = 2/15

A cada uno le tocarían:

2/15

del total de la pizza