If we divide the numerator and denominator of (6/8) by 2, will its value be changed?
(50 points)
1.No
2.Yes
3.sometimes
4.Maybe

Answer:

2/4

Step-by-step explanation:

The answers are :

a) The real world problem can be given as mentioned above in part a.

b) The equation can be written as : x = \(2\frac{1}{2}\) ÷ \(\frac{1}{4}\)

c) The quotient will be 10.

What is division ?

Division is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

a) The real world problem can be given as " With \(2\frac{1}{2}\) liters of petrol available , you can fill 0.25 liter of petrol in a time by a gallon in a tank. how many times you need to use gallon to fill the tank of capacity  \(2\frac{1}{2}\) liters . "

b)

We know that in a division :

Dividend ÷ Divisor = Quotient

Let x be the quotient.

Then , the equation can be written as :

x = \(2\frac{1}{2}\) ÷ \(\frac{1}{4}\)

c)

Solving the real world problem as given in part (a).

If we solve it we get : no. of times we need to fill gallon :

= \(2\frac{1}{2}\) ÷ \(\frac{1}{4}\)

= \(\frac{5}{2}\) ÷ \(\frac{1}{4}\)

= 10 times

The quotient will be 10.

Therefore , the answers are :

a) The real world problem can be given as mentioned above in part a.

b) The equation can be written as : x = \(2\frac{1}{2}\) ÷ \(\frac{1}{4}\)

c) The quotient will be 10.

Learn more about division here :

https://brainly.com/question/917110

#SPJ2

The rate of interest is given by the equation R = 3.5 %

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the rate of interest be represented as R

Now , the simple interest I = $ 175

The principal amount invested P = $ 2,500

The time period T = 2 years

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Rate of Interest = (Simple Interest x 100 ) / Principal Amount x Time Period )

Substituting the values in the equation , we get

Rate of Interest R = ( 175 x 100 ) / ( 2500 x 2 )

Rate of Interest R = 17500 / 5000

Rate of Interest R = 3.5 %

Hence , the interest rate is 3.5 %

To learn more about simple interest click :

https://brainly.com/question/17282817

#SPJ1

Suppose that So, S1, S2,... is a sequence of subsets of N the following sets is guaranteed to be different from all sets in the sequence is S = {n² | n² & Sn}.

Subsets are a part of the mathematical concept of sets. A set is anything that is wrapped in curly braces, such as "a,b,c,d." If set A is a collection of even integers and set B is composed of the numbers 2, 4, and 6, then set A is the superset of set B and set B is said to be a subset of set A. Review Sets Subset and Superset for further details.

Set A is referred to as a subset of Set B if each element of Set A is also present in Set B. In other words, Set B includes Set A.

As an illustration, if set A has the elements X, Y, and set B contains the elements X, Y, and Z, then set A is the subset of set B.

Learn more about Subsets:

https://brainly.com/question/30379171

#SPJ4

Answer:

2x-2

Step-by-step explanation:

2(x-1)=

Distribute

2x* -2*1

2x-2

Answer:

\(2x - 2\)

Solution,

\(2(x - 1) \\ = 2 \times x - 2 \times 1 \\ = 2x - 2\)

hope this helps..

Answer: sin(0) = 40.804/41

Step-by-step explanation:

Answer:

In 1 week, Ellen and Mariana will each have $576 saved.

Step-by-step explanation:

Define the variables:

If Ellen started by putting $331 in her account and will deposit an additional $245 each week, then:

If Mariana made an initial deposit of $325 and will add $251 more each week, then:

Therefore, the system of equations that represents the problem is:

\(\begin{cases}y=331+245x\\y=325+251x\end{cases}\)

To calculate how many weeks it will take for Ellen and Mariana to have the same amount saved, substitute the second equation into the first and solve for x:

\(\implies 325+251x=331+245x\)

\(\implies 325+251x-245x=331+245x-245x\)

\(\implies 325+6x=331\)

\(\implies 325+6x-325=331-325\)

\(\implies 6x=6\)

\(\implies 6x \div 6=6 \div 6\)

\(\implies x=1\)

Therefore, Ellen and Mariana will each have the same amount saved after 1 week.

To calculate the amount saved after 1 week, substitute x = 1 into one of the equations:

\(\implies 325+251(1)=576\)

Therefore:

Answer:

hi how may i help

Step-by-step explanation:

how can i help u

The equation of the line 4x-20y = -160 in the slope intercept form is y = x/5 + 8 .

The equation of the line in slope intercept form is written as

y = mx + c ,

where m is the slope of the line , and c is the y intercept .

In the question ,

the equation of the line is given

equation of line is given as 4x-20y = -160

to convert the equation in slope intercept form , we rewrite it as

20y = 4x+160

dividing both sides by 20 ,

we get

20y/20 = 4x/20 + 160/20

y = x/5 + 8

hence ,the slope intercept form is y = x/5 + 8 , where 8 is the y intercept and 1/5 is the slope .

Therefore , the equation of the line 4x-20y = -160 in the slope intercept form is y = x/5 + 8 .

Learn more about Lines here

https://brainly.com/question/21206550

#SPJ1

Answer:

true

Step-by-step explanation:

The percent extension and lengthening (in meters) for the deformed rock layers is 20%.

Percent extension refers to the amount of stretching that has occurred in a rock layer, expressed as a percentage of its original length.

To calculate percent extension, we would subtract the original length from the current length (120 - 100 = 20) and then divide that difference by the original length (20/100 = 0.2).

Finally, we would multiply by 100 to get the percent extension (0.2 x 100 = 20%).

Therefore, the percent extension of the rock layer would be 20%.

In summary, percent extension and lengthening are important concepts in geology that help us understand how rocks have been deformed over time.

To know more about percent here

https://brainly.com/question/13729841

#SPJ4

Answer:

the theorem states that the length of the hypotenuse when squared is equal to the addition of the adjacent and opposite when squared

Answer:

12 hours

Step-by-step explanation:

First it’s every 2 weeks so divide by 2 to find 1 week and get 16 hours a week then subtract 4 hours cause olivia works 4 more per week and u get 12 hours so Lily works 12 hours a week ;)

sorry if wrong have a good day/night

may i please have a branllest

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

for more such questions on sampling method

https://brainly.com/question/13219833

#SPJ8

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

The three card is numbered 1, 2, 3

The lettered chosen is; A, B, C

Sample space is ;

1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C

Outcomes for even that the number chosen is 1 is;

1A, 1B, 1C

Outcome for the event that the letter chosen is c is;

1C, 2C, 3C

Chesito, the left line has a greater slope, but I want to provide an accurate answer. I can't see the equations.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

780

Step-by-step explanation:

12 chairs x 65 rows

Answer: 780

Step-by-step explanation: Because if each row has 12 chairs then you would already know that sounds like multipication, so just multiply 65 times 12 and that will be 780 chairs in all.

Answer:1/20

Step-by-step explanation:

trust

Answer:

1/20

Step-by-step explanation:

5 divided by 100 is =20

5divided by 5 is =1

=1/20

Correlation is the measure of the degree to which any two variables vary together.

If one variable tends to increase as the other variable decreases , the correlation is said to negative or inverse.

From the correlation we assess the strength of the relationship of two variables.

A  numerical measure of strength in the linear relationship between the two variables is called co efficient of simple correlation.

The  co efficient of simple correlation r is a pure number and assumes values from+1 to -1 .

r= -0.837295

The sign of r indicates the direction of the relationship or correlation.

It can be determined by finding the COV (X,Y)/ √Var (X) Var(Y)

In the given question it is calculated by using the excel sheet.

The correlation tab is found in the statistical column of the formula tab.

After entering the data in the excel the correlation tab is clicked and the rows cells are entered and the answer is obtained.

Another way is use the data analysis tab and click the correlation tab.

For both ways the following result is obtained .

r= -0.83729481

rounded to 6 places gives

r= -0.837295

https://brainly.com/question/18054482

https://brainly.com/question/24169114

a) Probability that the next accident occurs between 50 and 100 days = 0.2044198

b) Probability that the time until an accident occur exceeds the mean time by more than 2 standard deviations =  0.04978707

c) The probability that it will be at least 80 days until an accident occurs = 0.2865048

d) the value of the median time until an accident occurs = 27.7258

Median time

a) Let T be the amount of time until an industrial facility accident occurs.

Daily rate lambda = 1/Mean = 1/40

Exp(lambda = 1/40), T

If the distribution is exponential,

P(T t) = 1 - exp (-lambdat) = 1 - exp(-t/40)

P(50 T 100) is the probability that the next accident will occur between 50 and 100 days.

= P(T < 100) - P(T < 50)

= (1 - exp(-​​​​​​​100/40)) - (1 - exp(-​​​​​​​50/40))

= exp(-1.25) (-1.25) - exp(-2.5) (-2.5)

= 0.2865048 - 0.082085

= 0.2044198

b) Standard deviation = Mean = 40 in the case of an exponential distribution.

The probability of the next accident occurring exceeds the mean time by two standard deviations.

= P(T > 40 + 2 * 40)

= P(T > 120)

= exp(-​​​​​​​120/40)

= exp (-3)

= 0.04978707

c) Given that there is no accident until 30 days, the likelihood is that it will be at least 80 days before an accident occurs.

= P(T > 80 | T > 30)

= P(T>80 and T>30) / P(T>30)

= P(T > 80) / P(T > 30)

= p(- 80/40) / exp(- 30/40)

= exp(-50/40) = (-1.25)

= 0.2865048

d) If the distribution is exponential,

P(T t) = 1 - exp(-lambdat) = 1 - exp(- t/40).

P(T t) = 0.5 for the median value Tm.

1 - exp(-​​​​​​​Tm/40) = 0.5

exp(-​​​​​​​Tm/40) = 0.5

-​​​​​​​Tm/40 = log (0.5)

-​​​​​​​Tm/40 = -0.6931472

Tm = 40 * 0.6931472

= 27.72589 days

To learn more about exponential distribution check the given link

https://brainly.com/question/13339415

#SPJ4

your selected answer us correct

Answer:

the last one 3(x+4) = 3x + 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Continuous random variable is a random variable that can take on a continuum of worth. In alternative words, a random variable is said to be continuous if it supposes a value that falls between a particular interval.

A continuous random variable can be described as a random variable that can take on an infinite number of possible values. Due to this, the probability that a continuous random variable will take on a fixed value is 0.

The probability density function of a continuous random variable can be explained as a function that gives the probability that the value of the random variable will drop between a range of values. Let X be the continuous random variable, then the formula for the pdf, f(x).

To know more about Continuous random variable:

https://brainly.com/question/17238189

#SPJ4

Answer:

Step-by-step explanation:

-15-9 = -24

I would think about it as adding 15 and 9, but just make the answer negative.