What is the number of ways to
arrange 5 objects from a set of 8
different objects?

Answer:

The building is 36.62 m long.

Step-by-step explanation:

The percentage rise of Jane= 7%.

What is percentage ?

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Percentage Increase/ Rise and Decrease/ Fall

The percentage increase is equal to the subtraction of the original number from a new number, divided by the original number and multiplied by 100.

% increase = [(New number – Original number)/Original number] x 100

where,

increase in number = New number – original number

Similarly, a percentage decrease is equal to the subtraction of a new number from the original number, divided by the original number and multiplied by 100.

% decrease = [(Original number – New number)/Original number] x 100

Where decrease in number = Original number – New number

So basically if the answer is negative then there is a percentage decrease.

In the given question , Jane earns initially =  £11 400 per year

After rise Jane earns = £12 198 per year.

Percentage rise = [(New number – Original number)/Original number] x 100

Percentage rise = [( 12198 – 11400)/11400] x 100

= [( 798)/11400] x 100= 0.07 × 100 = 7%

So the percentage rise of Jane= 7%.

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This is an example of a correlational method.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

Correlational research is used to look at the relationship between two variables. In this case, the variables are majors in the social sciences and their salaries. The researcher is collecting data on the two variables and then looking for a relationship between them. The researcher is not manipulating any of the variables, or intervening in the situation in any way. They are simply collecting data and looking for correlations. The researcher is not looking to determine cause and effect, but instead to observe any patterns or trends that emerge from the data.

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Answer: 275,400

Step-by-step explanation:

- First we do 18 multiplied by 20 which would get us the answer of 360

- Next we do 45 multiplied by 17 which would get us the answer of 765

- Now we multiply both 360 and 765 and get the answer of 275,400

Answer:

Step-by-step explanation:

Answer:

Class A raised $647.53. Since class B raised $80.91 more than class A, then class B raised $728.44. If class B Raised as much money as class C, we multiply $728.44 by 2, and then add $647.53, we get our final answer of $2,104.41

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

The latest time that the staff member can leave home to make it in time for the meeting in Birmingham is 8.30 am.

Time

Time is used to quantify, measure or compare the duration of events or the intervals between them, and even, sequence events.

Given,

A staff member lives in Bermondsey and has to be in Birmingham for 10.45 am.

Here we need to find the latest time that the staff member can leave home to make it in time for the meeting in Birmingham

From the given details we know identified that,

The staff members has to be present in Birmingham at 10.45am.

But they are all in Bermondsey, it will take 1 hour 10 mins travel to arrive the destination.

So, the time before 1 hour is 9.35 am.

The travel time between train station from home is 1 hour is,

So, the time is 8.35 am.

Venue distance is 5 minutes from station.

So, when we include this then the time to leave the home is,

=> 8.30 am.

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Answer:

48/70 or24/35

Step-by-step explanation:

9/7-6/10 u find the LCD or lowest common denominator. 90/70-42/70=48/70=24/35

Answer:

24/35

Step-by-step explanation:

9/7 - 6/10

Simplify 6/10 by dividing the top and bottom by 2

9/7 - 3/5

The common denominator is 7*5 = 35

9/7 * 5/5    - 3/5 *7/7

45/35 - 21/35

24/35

Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

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Answer:

Patient A receives 150 milligrams and Patient B receives 50 milligrams

Step-by-step explanation:

Patient A = 3x

Patient B = x

200 milligrams = 3x + x

200 milligrams = 4x

x = 50

Patient A = 3(50) = 150

Patient B = 50

I hope this helps!

-TheBusinessMan

Let the medicine received by patient B be x.

According to the question patient A receives 3 times as much,

The total amount of medicine administered to the two patients equals to 200 milligrams.

We can write the relation as ,

\(:\implies \sf \ \ \ x + 3x = 200 \\ \\ \\ \)

\(:\implies \sf \ \ \ 4x = 200 \\ \\ \\ \)

\(:\implies \sf \ \ \ x = \dfrac{200}{4} \\ \\ \\ \)

\(:\implies \sf \ \ \ { \underline{ \boxed{ \bf{ \blue{x = 50}}}}} \ \bigstar \\ \\ \)

Therefore,

Answer:

y+7 = -3 ( x-4)

Step-by-step explanation:

First find two points on the graph to find the slope

( 1,2) and ( 3,-4)

The slope is given by

m = ( y2-y1)/(x2-x1)

m = ( -4-2)/(3-1)

    = -6/2

    =-3

We can use the point slope form

y - y1 = m(x-x1)  where m is the slope and x1,y1 is a point on the line

We have two choices with a slope of -3

We can either use and x coordinate of -2 or 4

for  -2, the y coordinate is not shown

for 4 , the y coordinate is -7

Using ( 4, -7) and m = -3

y--7 = -3( x- 4)

y+7 = -3 ( x-4)

Answer:

A

Step-by-step explanation:

We want to write the equation of the line as shown in the graph.

First and foremost, we should find the slope of the line. To do so, we will pick two points that the line crosses.

We see that the line crosses the points (0, 5) and (2, -1). Now, we can use the slope formula:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Let (0, 5) be (x₁, y₁) and let (2, -1) be (x₂, y₂). Substitute:

\(m=\frac{-1-5}{2-0}\)

Subtract and reduce. So, our slope is:

\(m=-6/2=-3\)

Therefore, our slope is -3.

Now, we can use the point-slope form to find the equation. Point-slope form is:

\(y-y_1=m(x-x_1)\)

Where m is our slope and (x₁, y₁) is any point the line crosses.

First, since we already know that our slope is -3, let's substitute -3 for m:

\(y-y_1=-3(x-x_1)\)

So, we can eliminate choices C and D since the slope of those equations is 3 and not -3.

Now, we need to pick our (x₁, y₁). Let's go through the answer choices A and B to see which one is correct.

For A, we have:

\(y+7=-3(x-4)\)

We can rewrite this as:

\(y-(-7)=-3(x-(4))\)

Therefore, in A, our point is (4, -7).

Now, check. Does our line actually pass through (4, -7).

From the graph, we can see that it does. Therefore, A is our correct answer!

However, let's do B just to confirm. For B, we have:

\(y+1=-3(x+2)\)

We can rewrite this as:

\(y-(-1)=-3(x-(-2))\)

So, our point is (-2, -1).

Does our line pass through (-2, -1)?

Upon inspection, our line does not pass through (-2, -1). So, B is not correct.

So, our answer is A.

And we're done!

Answer:

Step-by-step explanation:

14

Answer: answer is C

Step-by-step explanation:

If the mean is 8.5 minutes and the variance is 9 minutes then the upper confidence limit is 9.3765  .

In the question ,

it is given that ,

the number of sales person in the random sample (n) = 45 ,

the mean = 8.5 minutes

the variance is = 9 minutes .

So , the standard deviation is = 3.

For the 95% confidence interval the level of significance (α) is 0.05 .

So , α/2 = 0.05/2 = 0.025 .

So , from Z table ;

the value of \(Z_{\frac{\alpha }{2} }\) is = 1.96 .

The formula for the confidence interval is

= [ mean ±  \(Z_{\frac{\alpha }{2} }\)(SD/√n)]

Substituting the values from above ,

we get ,

= [8.5 - 1.96*0.4472 , 8.5 + 1.96*0.4472]

Simplifying further ,

we get ,

= [ 7.6235 , 9.3765 ]

Therefore , the upper limit of the 95% confidence interval is 9.3765  .

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The amount more in income tax that Cho pays than Helen each month would be £56.

First, find Helen's yearly salary :

= 1, 720 x  12

= £ 20, 640

Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.

Cho 's monthly tax would be:

= (( 24, 000 - 12, 570 ) x 20 % ) / 12

= £ 190. 50

Helen's monthly tax :

= (( 20, 640 - 12, 570 ) x 20 % ) / 12

= £ 134.50

The difference is therefore :

= 190. 50 - 134.50

= £56

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Answer:

-0.2354

Step-by-step explanation:

Change of base formula:

\(log_{b}a = \frac{loga}{logb} \\log_{19}\frac{1}{2} = \frac{log\frac{1}{2} }{log19}\\= -0.2354\)

Answer:

(2, 6)

Step-by-step explanation:

The solution will be where the two lines intersect. From the graph, that point is (2, 6).

Answer:

C

Step-by-step explanation:

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

The percentage as a fraction is 29/100 and 0.29 as decimal

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

Number = 29%

Multiply the expression by 1

So, we have the following representation

Number = 29% * 1

Express 1 as 100/100

Number = 29% * 100/100

So, we have

Number = 29 * 1/100

This gives

Number = 29/100

Divide the expression

Decimal = 0.29

Hence, the fraction is 29/100

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Answer:

66 not parallel or transversal I believe its supplementary

Step-by-step explanation:

The second differences for the relation is -2 which is option A.

To find the second differences, we need to calculate the difference between consecutive differences of the 'y' values in the given relation.

First, let's calculate the first differences:

-9 - (-4) = -5

-4 - (-1) = -3

-1 - 0 = -1

0 - (-1) = 1

-1 - (-4) = 3

-4 - (-9) = 5

Now, let's calculate the second differences:

-5 - (-3) = -2

-3 - (-1) = -2

-1 - 1 = -2

1 - 3 = -2

3 - 5 = -2

The second differences for the given relation are all -2.

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The statement about the functions that is true is (a) only g(x) is an even function.

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

f(x) = √(x + 1) - 3

The graph of g(x)

The graph of g(x) is an even function

This is so because the graph remains unchanged under reflection in the y-axis.

However, the function f(x) is neither even nor odd

This is so because

Hence, the true statement is (a)

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Answer:

The Pearson coefficient of skewness is of 0.8284.

Step-by-step explanation:

Pearson skewness:

The skewness of a data set is given by the subtraction of the mean by the median, divided by the standard deviation.

In this question:

The mean is of 87, the median is of 73 and the standard deviation is of 16.9. So

(87-73)/16.9 = 0.8284.

The Pearson coefficient of skewness is of 0.8284.

Based on an equation, the amount that Isabel spent on bread was $2.42.

To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.

An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.

The amount Isabel spent on vegetables = $15.91

The amount she spent on fruits = $11.22

Let the amount she spent on bread = x

The total amount she went with = $30 (3 x $10)

The change she got after giving the cashier $30 = $0.45

The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)

x = $2.42 ($29.55 - $15.91 - $11.22)

Check:

Vegetables = $15.91

Fruits = $11.22

Bread = $2.42

Total expenses = $29.55

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Step-by-step explanation:

Area of the trapezoid = height x average of bases

                 area = 4 x (8+13)/2) = 42 in^2

Area of triangle  = 1/2 base * height   = 1/2 (13-8) * 4 = 10 in^2

Answer:

The Y-Int. is 60

Step-by-step explanation:

0 marks the x axis, which leads me to believe 60 is the Y-int so (0,60)