If each of the numbers in the following data set were multiplied by 18, what
would be the new median of the data set?
14, 20, 18, 58, 71, 36, 28

what would be the new median of the data set ?

Answer:

201 minutes

Step-by-step explanation:

60 x 3 = 180

180 +21 = 201

Check the picture below.

The formula for obtaining the value of a term of a sequence is given as a

as a recursive formula.

Responses:

The amount of pocket money Smith gets = 2 × The amount he gets in the previous day

The amount Smith gets on the first day = R1

Required:

The given information expressed as a sequence.

Solution:

The amount of money smith gets can be expressed as follows;

Amount he gets on day 1 = R1

On day 2, R2 = 2·R1

On day 3, R3 = 2·R2 = 2·2·R1 = 4·R1

On day 4, R4 = 2·R3 = 2·2·2·R1 = 8·R1

On day 5, R5 = 2·R4 = 2·2·2·2··R1 = 16·R1

The information written as a sequence is therefore;

Learn more about geometric sequence here:

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Answer:

E. 25.12

Step-by-step explanation:

C=2πr = 2π(4) = 25.1

Answer:

c and d

Step-by-step explanation:

they both have a percent increase >50

A regression can take several forms such as linear models and quadratic models

The linear regression equation is: [tex]y = 7.35x + 557.1[/tex] and the quadratic regression equation is [tex]y = -1.196x^2 +21.707 x+523.6[/tex]

The data set is given as:

x 2 4 6 8 10

y 567 580 616 625 618

Next, we make use of a graphing calculator to determine the regression equations

From the graphing calculator, we have the following calculation summary

So, the linear regression equation is:

[tex]y = 7.35x + 557.1[/tex]

And the quadratic regression equation is:

[tex]y = -1.196x^2 +21.707 x+523.6[/tex]

Read more about regression equations at:

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Answer:

Length is 62 yards

Step-by-step explanation:

A = wL

L = 8w-26

682 = w(8w-26)

682 = 8w^2 -26w

0 = 8w^2 - 26w - 682

Use the quadratic formula (it's really hard to type it but just look it up if you want to see the explanation)

w = 11

L = 8(11) - 26 = 62 yards

Check: 62(11) = 682

Answer:

D. 50.3 ft

Step-by-step explanation:

C = 2 x pi x r

C = 2 x 3.14 x 8

C = 50.3 ft

Answer:

-2/3

Step-by-step explanation:

down 2, right 3

Slope:-

[tex]\\ \rm\hookrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{-4+1}{-5+9}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{-3}{4}[/tex]

Answer:

  12 ft

Step-by-step explanation:

It is sometimes helpful to start from what you are given and see what develops.

Here, angle B is 30°. That means angle CAB is 60° (the acute angles of a right triangle are complements). AL bisects that 60° angle, meaning two things:

The side ratios of a 30°-60°-90° triangle are 1 : √3 : 2, so AL is 2 times the length of CL.

  AL = 2 × (6 ft) = 12 ft

We know that AL = LB, so LB = 12 ft.

Answer:

yo moma smell like stank

Step-by-step explanation:take showers

The thickness of a fingernail is about 10^-5 inch

From the complete question, we have the following parameter

Thickness = 1/100000 inch

To represent the thickness in standard form, we do the following:

Express the thickness as a decimal

Thickness = 0.00001 inch

So, the standard form would be:

Thickness = 1 * 10^-5 inch

This gives

Thickness = 10^-5 inch

Hence, the complete statement is:

The thickness of a fingernail is about 10^-5 inch

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Answer:

5 days, 35 tubs

Step-by-step explanation:

We can create an equation.

Let d be the number of days it will take.

Note that in all Dominic will have sold 6d + 5 tubs, and Candice 7d.

So, if 6d - 5 = 7d then d = 5.

So, it will take 5 days, and each will have sold 6 * 5 + 5 = 7 * 5 = 35 tubs of cookie dough.

Answer:

B

Step-by-step explanation:

parallel lines have the same gradient,

and for y = 3x-2; m= 3

The answer is B. Hope this helps :)

Answer:

2:3

Step-by-step explanation:

So OJ is 600ml and AJ is 900ml

we can divide both by 100 so

600÷100= 6

900÷100= 9

Ratio is now 6:9 but we can simplify it more by 3

so 6÷3=2 and 9÷3=3

So therefor ratio is 2:3

Answer:

13-f=n

Step-by-step explanation:

he starts with 13 folds some number "f" of them and has some number "n" still to do

The linear equation that links N and F in the previously stated condition is N + F = 13.

Because a straight line emerges when we attempt to display the graph of the provided linear function, a linear equation is known as linear.

Given Alan has 13 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them.

The linear equation that satisfies the above statement is

N + F = 13

therefore, N + F = 13 is the linear equation that relates N and F in the above-given condition.

Learn more about linear equations here:

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#SPJ2

Step-by-step explanation:

Question: 4x - 12 = 16 +8x

Answer: 4x-8x =16+12

-4x=28

x=-28/4

x=-7

D) -7 is your answer

hope this helps you

have a great day :)

Answer:

X=933

Step-by-step explanation:

987-54=933

Answer:

Correct me if I'm wrong......

Answer:

10 bananas

Step-by-step explanation:

Compare same things in the same order to write a proportion

(fraction = fraction)

bananas/rupees

=4dozen/R60

=4(12)/R60

=48/60

=4/5

The question says

bananas/rupees

=unknown/R12.5

4/5 = x/12.5

crossmultiply

4(12.5) = 5x

50 = 5x

divide by 5

10 = x

You can buy 10 bananas for R12.5

10 bananas

Step-by-step explanation:

In ₹60, we can purchase 4 dozen bananas

=> 4×12

=> 48 bananas

In ₹1, we can purchase:-

[tex] \frac{48}{60} [/tex]bananas

In ₹12.50, we can purchase:-

[tex] \frac{48}{60} \times 12.50[/tex]

[tex] = > \frac{48 \times 1250}{60 \times 100}[/tex]

[tex] = > \frac{8 \times 125}{100}[/tex]

By reducing to lowest terms, we get,

[tex]10[/tex]

Hence, 10 bananas can be purchased for ₹12.50

Answer:

6y - 1/2y

Step-by-step explanation:

So...

We need to multiply by 5y/5y to write -4 as a fraction with a common denom.

2/5y - 4 * 5y/5y + 7 - 9/10y

Simplify...

Combine the -4 and 5y/5y

2/5y + -4(5y)/5y + 7 - 9/10y

Combine the numer over the common denom

2 - 4(5y)/5y + 7 - 9/10y

Simplify the numerator by factoring 2 out of then 2 out of -4 * 5y and then 2 out of 2(1) + 2 (-2 * 5y)

2(1) - 4 * 5y/5y + 7 - 9/10y

2(1) + 2(-2 * 5y)/5y + 7 - 9/10y

2(1 - 2 * 5y)/5y + 7 - 9/10y

Now multiply -2 by 5

2(1 - 10y)/5y + 7 - 9/10y

Now we do the same 5y/5y with 7

Combine...

2(1 - 10y)/5y + 7(5y)/5y - 9/10y

Combine more.

2(1 - 10y) + 7(5y)/5y - 9/10y

Now we need to simplify more

Distributive property application

2 * 1 + 2 (-10y) + 7 * 5y/5y - 9/10y

Multiply 2 by 1

2 + 2(-10y) + 7 * 5y/5y - 9/10y

-10 by 2

2 - 20y + 7 * 5y/5y - 9/10y

Then 7 by 5

2 - 20y + 35y/5y - 9/10y

Then -20y by 35y

2 + 15y/5y - 9/10y

Now we have to multiply 2 + 15y/5y by 2/2

2+ 15y/5y * 2/2 - 9/10y

Now we write with a common denom of 10y and multiply with a factor of 1

(2 + 15y) * 2/5y * 2 - 9/10y

Multiply 2 by 5

(2 + 15y) * 2/10y - 9/10y

Combine again

(2 + 15y) * 2 - 9/10y

Simplify again with the distrib property

2 * 2 + 15y * 2 - 9/10y

Multiply 2 by 2

4 + 15y * 2 - 9/10y

Then 2 by 15

4 + 30y - 9/10y

Then subtract 9 from 4

30y - 5/10y

Factor out 5 from 30y - 5...

5(6y) -5/10y

5(6y) - 5/10y

Factor 5 out of -5

5(6y) + 5(-1)/10y

Then 5 out of 5(6y) + 5(-1)

5(6y - 1)/10y

Now we cancel more common factors which is 5 here

6y - 1/2y

Answer:

a) 112º

b) 62.5º

Step-by-step explanation:

a) x=180–34*2=112º

b) x=(180–55)/2=62.5º

Hey how was your day? What did you do today?

Answer:

28.8

If rounded 28

Step-by-step explanation:

If every 12 beads takes up 5 inches that means that 1 foot (12 inches) would be divided by 5 (12/5) (A. 2.4) and then multiplied by 12. which would give you 12.8 or since you cant have 28.8 beads, you can only put on 28 when rounded.

Answer:

$41,490

Step-by-step explanation:

9% = 0.09

Do 9% of 461,000

which is 0.09 times 461000.

Answer:

The house decreased by $41490. The current value of the house is $419510

Step-by-step explanation:

The house starts at 100% value and goes down by 9%.

100-9 is 91

you move the decimal over 2 places to the left and get .91

you multiply 461000(.91) and you get 419510

that's the current value on the house

to find the amount, lost subtract

416000-419510

and you get  $41490.

There are 720 different ways to arrange the books.

Here we know that there are a total of 7 books, 3 of math and 4 of sciences.

We know that the 3 math books must be together, so first let's analyze this element.

The number of permutations of these 3 books is 3! = 3*2*1 = 6

Now we have 5 elements, 4 books of science and a "group of math books."

So there are 5 positions in which the group of math books can be, and for the four science books we have 4! = 4*3*2*1 = 24 permutations.

The total number of different combinations is given by the product of the numbers we found above:

combinations  = (permutations of math)*(possible positions of math)*(permutations of science).

Combinations = 6*5*24 = 720

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Answer:

x=16

(x+4)=20

9x=144

Step-by-step explanation:

9x+x+4+x=180

11x+4=180

11x=180-4

11x=176

[tex]x = \frac{176}{11} [/tex]

x=16

Answer:

[tex]2 ^ { 4 } \times 2 ^ { - 7 }\\= 2^{4 + (-7)} \\= 2^{-3} \\= \frac{1}{2^{3} } \\=\boxed{ \frac{1}{8} }[/tex]

Hope it helps ⚜

Answer:

y = 4

Step-by-step explanation:

First we want to raise -1 to the power of 2

y = 2 * 1 - 5 * -1 - 3

Multiply

2 - 5 * -1 - 3

Multiply

y = 2 + 5 - 3

y = 7 - 3

y = 4