Mathematics High School

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

Answers

Answer 1

Answer:

Step-by-step explanation:

arranging in ascending order

14,18,20,36,58,71

median=(20+36)/2=56/2=28

new median=28*18=504

Answer 2

Answer:

504

Step-by-step explanation:

Related Questions

What are the solutions to the inequality? Graph the solutions. x/5 greater than or equal to -2

Answers

x/5 > -2

">" is the greater than sign, and ">" means it is greater than or equal to since it is underlined. All you have to do now is put the inequality into slope-intercept form (y = mx + b) and plot the line on a graph.

In this inequality, -2 is y and x/5 is x. Just rearrange the terms while still keeping the answer the same.

x/5 > -2
-2 < x/5 Notice that the sign changed to "less than or equal to." This is because x/5 is still greater than or equal to -2, which makes -2 less than or equal to x/5.

Since it is "or equal to," we can discover what x could be by multiplying -2 by 5, which is -10. So the non-dotted line goes over the point -10 on the x-axis, straightly vertical without a slope, and everything that is greater than -10 is shaded, which is everything on the right side of the line. It should look like the attachment below.

A site titled "www.desmos.com/calculator" might help you in the future. I hope my explanation made sense!

Graph f(x)=34x+2. Use the line tool and select two points to graph the line.

Answers

we have

[tex]f(x)=\frac{3}{4}x+2[/tex]

To graph the linear equation find the intercepts

we know that

The x-intercept is the value of x when the value of the function is equal to zero

The y-intercept is the value of the function when the value of x is equal to zero

so  

Find the y-intercept

for [tex]x=0[/tex]

[tex]f(x)=\frac{3}{4}*0+2=2[/tex]

the y-intercept is the point [tex](0,2)[/tex]

Find the x-intercept

for [tex]f(x)=0[/tex]

[tex]0=\frac{3}{4}x+2[/tex]

Multiply by [tex]4[/tex] both sides

[tex]0=3x+8[/tex]

[tex]x=-\frac{8}{3}=-2.667[/tex]

the x-intercept is the point [tex](-2.667,0)[/tex]

Plot the intercepts to graph the line

The answer in the attached figure

Answer:

the answer is (-2,0) and (0, 2)

Good luck!

For the points M(-2,3), N(4,5), P(1,6) and Q(4,-3), what is the relationship between MN and PQ?

Answers

MN=sqrt((4+2)^2+(5-3)^2)=2*sqrt (10)
PQ=sqrt((4-1)^2+(-3-6)^2)=3*sqrt(10)

MN/PQ=(2*sqrt (10))/(3*sqrt (10))=2/3

[sqrt=square root]

Newer stocks can be bought for $8 each, while older stocks can be bought for $4 each. The total cost, in dollars, of 10 stocks is represented by the expression 8s+4(10-s), where s represents the number of new stocks bought. how does changing the value of s change the value of the term 4(10-s)?

A.) For values of s less than 10, the term 4(10-s) will be negative; for values of s greater than 10, the term will be negative; for values of s equal to 10, the term will equal 0.

B.) For values of s less than 10, the term 4(10-s) will be negative; for values of s greater than 10, the term will be positive; for values of s equal to 10, the term will equal 0.

C.) For values of s less than 10, the term 4(10-s) will be positive; for values of s greater than 10, the term will be positive; for values of s equal to 10, the term will equal 0.

D.) For values of s less than 10, the term 4(10-s) will be positive; for values of s greater than 10, the term will be negative; for values of s equal to 10, the term will equal 0.

Answers

The correct option is D.
The equation given in the question is 8S + 4[10 -S], where S is the number of new stock bought.
Changing the value of S in the 4[10 - S] component of the equation will change the equation. To get the the correct option you have to considered individually all the options given in the question.
Let consider option D.
For value of S less than 10, the term will be positive. For instance, let use 6.
4 [10 - 6] = 16.
For value of S greater than 10 the value will be negative. For instance, let use 20.
4 [10 - 20] = - 40.
For value of S equal to 10, the value will be zero. For instance, let S = 0
4[10 - 10] = 0.

Elliott purchased shares of Microsoft in 2008 for $28 per share. He plans to sell them as soon as the price rises 20%. At what price will he sell his shares?

Answers

Since we are to find the price when it is risen 20%, therefore the fractional increase must be 0.20 of the original, therefore:

amount increased = $28 * 0.20 = $5.60

 

So the selling price must be:

selling price = $28 + $5.60 = $33.60

Final answer:

Elliott will sell his Microsoft shares at a price of $33.60 each after a 20% price increase from his initial purchase price of $28 per share.

Explanation:

The question concerns the calculation of a future selling price of shares after a certain percentage increase. To find the selling price after a 20% increase on Elliott's initial purchase price of $28 per share, we first calculate the 20% increase, which is 0.20 × $28 = $5.60. Next, we add this increase to the original purchase price to determine the selling price: $28 + $5.60 = $33.60 per share. Therefore, Elliott plans to sell his shares when their price reaches $33.60 each.

Dimitri deposited 60% of his paycheck into a savings account be deposited $41.67 what was the total of his check

Answers

The amount of his paycheck is $69.45.

What does the end behavior look like of the graph of the function f(x)=-8x^4-2x^3+x?
I know what the graph itself looks like but I have trouble explain its end behavior.
Thank you.

Answers

In this question, the highest power is x^4 which is an even number. In this case, the f(x) will be same for plus X or minus X.
The coefficient is -8 which is a minus. In this case, the f(x) will become minus: 

The result would be:
when X go the left end(X= -∞), the f(x) will become minus (f(x)→−∞)
f(x)→−∞, as x→−∞

when X go the right end(X= +∞), the f(x) will become minus (f(x)→−∞)
f(x)→−∞, as x→+∞

A survey was taken on pet ownership. 750 people were covered on the first day of the survey. The number tripled every subsequent day. Find the total number of people surveyed in 6 days
A. 265100
B. 265200
C. 273000
D. 265700

Answers

day one: 750 * 1 = 750
day two: 750 * 3 = 2250
day three: 2250 * 3 = 6750
day four: 6750 * 3 = 20250
day five: 20250 * 3 = 60750
day six: 60750 * 3 = 182250
add it all together: 750 + 2250 + 6750 + 20250 + 60750 + 182250 = 273000

The answer is C, 273000.

To find the total number of people surveyed in 6 days with numbers tripling each day starting with 750, we calculate the number for each day and sum them up, giving a total of 273000 people surveyed.

To calculate the total number of people surveyed in 6 days if 750 people were covered on the first day and the number tripled every subsequent day. We will use an exponential growth formula to find the answer.

On Day 1: 750 people.

On Day 2: 750 × 3 = 2250 people.

On Day 3: 2250 × 3 = 6750 people.

On Day 4: 6750 × 3 = 20250 people.

On Day 5: 20250 × 3 = 60750 people.

On Day 6: 60750 × 3 = 182250 people.

To find the total number of people surveyed over the 6 days, we add up the total number of people surveyed each day:
750 + 2250 + 6750 + 20250 + 60750 + 182250 = 273000 people.

Therefore, the correct answer is C. 273000.

1. Write the expression in simplified radical form. Show your work. 3 – 2√11/ 2 +√11

Answers

write it down again
you mean (3-2√11)/(2+√11) I guess
(3-2√11)(2-√11)/(2+√11)(2-√11)
(28-7√11)/(-7)
therefore the answer is √11-4

ANSWER

[tex] \sqrt{11} - 4[/tex]


EXPLANATION

The given radical expression is

[tex] \frac{3 - 2 \sqrt{11} }{2 + \sqrt{11} } [/tex]

We rationalize the radical expression by multiplying both the numerator and denominator by the conjugate of
[tex]2 + \sqrt{11} [/tex]

which is

[tex]2 - \sqrt{11} [/tex]

This will give us,

[tex] \frac{3 - 2 \sqrt{11} }{2 + \sqrt{11} } \times \frac{2 - \sqrt{11} }{2 - \sqrt{11} } [/tex]


[tex] \frac{(3 - 2 \sqrt{11})(2 - \sqrt{11} ) }{(2 + \sqrt{11})(2 - \sqrt{11} ) }[/tex]
We expand the numerator and also apply difference of two squares to the denominator.


[tex] \frac{6 - 3 \sqrt{11} - 4 \sqrt{11} + 2(11)}{ {2}^{2} - { (\sqrt{11} )}^{2} } [/tex]

This simplifies to,


[tex] \frac{6- 3\sqrt{11} - 4 \sqrt{11} + 22}{ 4- 11} [/tex]


[tex] \frac{28- 7 \sqrt{11} }{ - 7} [/tex]


We now share the denominator for the numerators to obtain,


[tex] - \frac{28}{7} + \frac{7 \sqrt{11} }{7} [/tex]

This finally gives,

[tex] - 4 + \sqrt{11} = \sqrt{11} - 4[/tex]

PLEASE HELP I NEED TO GET THIS CORRECT.

Answers

1. A 2.B 3.D 4.C 5.D  I cant see the full last one I feel confident about 90% correct I'm just not 100% because its hard to read some
For number 1 the correct answer is B: x^4

The correct answer for number 2 is B: b - 8

Correct answer for number 3 is C: The quotation of three and some number times five

For number 4 the correct answer is C: 10x + 5




Write the fraction 29 over 7 as a repeating decimal

Answers

4.1428571428571428571428571428571 it keeps repeating on and on after the point of the decimal.

7x=2x-35


A. 7

B.5


C.-5


D.-7

Answers

Find x you mean?
substract both side by 2x
5x=-35
divide both side by 5
x=-7
->D

PLEASE HELP ME DO NOT HELP IF YOU DO NOT KNOW HOW TO DO IT

The state of Colorado had roughly the shape of a rectangle that is 3.8 x 10^2

2.8 x 10^2 miles high. What is the approximate area of Colorado? hint: the area of the rectangle is a product of its length and width.

Answers

Area of rectangle = length times width

Let 3.8 x 10^2 = width

Let 2.8 x 10^2 = length

Search your book or online for instructions on how to multiply in terms of scientific notation.

A = (2.8 x 10^2)(3.8 x 10^2)

Take it from here.

the set of ____ contains all the whole numbers amd their opposite

Answers

Hey there!

The set of integers contains all the whole numbers and their opposite!

Hope this helps! :)
The set of integers contains all the whole numbers and their opposite

Hope this helps! :)

Suppose you had d dollars in your bank account. You spent $12 but have at least $51 left. How much money did you have initially? Write and solve an inequality that represents this situation.

A.
d+12 51; d 75

B.
d + 12 51; d 75

C.
d-12 51; d 63

D.
d-12 > 51; d > 63

Answers

Initial amount =  d  dollars
Amount spent = $12

Because the amount left is at least $51, therefore
d - 12 ≥ 51
Add 12 to each side.
d ≥ 51 + 12
d ≥ 63

Note: The amount left is at least $51. Therefore the amount left should be $51, or greater than $51.

Answer:
d - 12 ≥ 51
d ≥ 63

Describe the cross section

Answers

Answer:

D. Square

Step-by-step explanation:

A cross section is the shape that we get when we cut the object.

Here the given object is a cube.

It is cut straight through the middle.

Imagine a cube cut through the middle, when we look at the same on the top, we get square.

Since in a cube all the sides are equal.

Therefore, we get square when we cut the cube straight through the middle.

Answer: D. Square.

The cross-section of the shape in the image is a square.

Here's why:

The shape in the image is a cube.

A cube has six square faces.

When you cut a cube through the middle along any of its axes, the resulting cross-section will always be a square.

Therefore, the answer is D. square.

Help please I’ll mark you brainliest

Answers

Subtract any number from the next one.
-1 - (-6)
4 - (-1)
9 - 4
14 - 9

All of the above subtractions give the same answer.
That answer is the common difference.

write an equation of the line, in slope intercept form, that passes through the given point and has the given slope. point:(8,-8), slope:3

Answers

If m equals 3, and we have a y and x value of 8 and -8, all we have to do is solve for b.

-8 = 3(8) + b
Multiply 8 and 3.
-8 = 24 + b
Subtract 24 from both sides to isolate b.
-32 = b

Your equation would look like this:

y = 3x - 32

1.17 - 0.07a + (-3.92a)

Answers

1.17-0.07a+(-3.92a)
Combine Like Terms:
1.17+(-0.07a)+(-3.92a)
(-0.07a+ -3.92a) +1.17
-3.99a + 1.17
Answer: -3.99a + 1.17

I hope this helps!

Answer:

The simplified form of the given expression is [tex]1.17-3.99a[/tex].

Step-by-step explanation:

The given expression is

[tex]1.17-0.07a+(-3.92a)[/tex]

The given expression can be written as

[tex]1.17-0.07a-3.92a[/tex]

Now, combine the like terms.

[tex]1.17+(-0.07a-3.92a)[/tex]

[tex]1.17+(-3.99a)[/tex]

[tex]1.17-3.99a[/tex]

Therefore the simplified form of the given expression is [tex]1.17-3.99a[/tex].

Determine which equations below, when combined with the equation 3x-4y=2, will form a system with no solutions. Choose all that apply.
A) 2y = 1.5x - 2
B) 2y = 1.5x - 1
C) 3x + 4y = 2
D) -4y + 3x = -2

Answers

Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,       
 
        y = mx + b 

where m is slope and b is the y-intercept.

Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2

A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1

B. 2y = 1.5x - 1
Slope-intercept:  y = 3x/4 - 1/2

C. 3x + 4y = 2
Slope-intercept:  y = -3x/4 + 1/2

D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2

Hence, the answers to this item are A and D. 

Answer: D,B,B,C,D,A,C,B,D,  (A-D)

ALL TEST ANSWERS

Step-by-step explanation:

ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line y = -x. What are the coordinates of the vertices of the image?

Answers

I believe the coordinates are A (0,-3), B (3,-2), C (1,-1)

Answer:

A(0, -3) ;  B(3, -2) and C(1, -1).

Step-by-step explanation:

Given  : ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin.

To find : What are the coordinates of the vertices of the image.

Solution : We have given

Vertices A(-3, 0), B(-2, 3), C(-1, 1)  is rotated 180° clockwise.

By the rotation rule of 180° clockwise : (x ,y) →→ ( -x ,-y).

Then vertices would be

A(-3, 0) →→ A(3, 0)

B(-2, 3) →→ B(2, -3)

C(-1, 1) →→ C(1, -1).

Reflection y = -x then

A(0, -3) ;  B(3, -2) and C(-1, 1).

Therefore, A(0, -3) ;  B(3, -2) and C(1, -1).

A checkers board is 8 squares long and 8 squares wide. The area of each square is 14 square centimeters. Estimate the perimeter of the checkers board to the nearest tenth of a centimeter.

Answers

Area of each square = 14 sq. cm.
length of each square = sqrt(14) = 3.7 cm

 length of one side  = 8 x 3.7 = 29.6 cm


Perimeter of the checker board = 4 x 29.6 = 118.4 cm

The perimeter of the checker board  118.4 cm

Area of each square = 14 sq. cm.

What is the length?

The square root of area is the length of one side

[tex]length of each square =\sqrt{14} = 3.7 cm[/tex]

[tex]length of one side = 8 * 3.7 = 29.6 cm[/tex]

What is the formula for perimeter of square?

Perimeter (P) =4 (length of side a)

[tex]P=4a[/tex]

[tex]Perimeter of the checker board = 4 *29.6 = 118.4 cm[/tex]

Therefor we get the perimeter of the checker board  118.4 cm

To learn more about the perimeter of square visit:

https://brainly.com/question/25092270

Of 60 students, 24 students have a pet. What is the ratio of students with pets to students without pets?

Answers

5:2 no pets to pet

Hope this helps
60 - 24 = 36

the ratio of students with pets to without pets is 24:36

or simplified: 2:3

hope this helps

Jade wants to buy a $200,000 term life insurance policy. She is 34 years old. Using the premium table, what is her annual premium for a 10 year policy?

Answers

The answer is b $1,202

The premium of $200,00 term life insurance policy is $1,202

What is Annual premium?

Annualized premium is the total amount paid in a year's time to keep the life insurance policy in force. The annualized premium amount of a life insurance policy does not include taxes and rider premiums.

Given, Jade wants to buy a $200,000 term life insurance policy. She is 34 years old.

Jade wants to buy a $200,000 term life insurance policy.  She is 34 years old.

Since, Jade is female.

Using table for 10-year policy: We will see the column of female.

Annual premium of life insurance per $1000 for 10-years policy term of 34-years old female = $6.01

  For $1000 life insurance premium = $6.01

  For     $1    life insurance premium = $0.00601

For $20000 life insurance premium = 200000 x 0.00601      

For $20000 life insurance premium =  $ 1,202

Therefore, The premium of $200,00 term life insurance policy is $1,202  

Learn more about annual premium here:

https://brainly.com/question/9834518

#SPJ6

Jessie is completing a mental rotation experiment. her reaction time will be fastest when the objects are rotated: 120 degrees. 180 degrees. 240 degrees. 60 degrees.

Answers

60 degrees it will take you longer to rotate this physical object by 180 degrees than to rotate it 90 degrees. your mental image should operate the same way the physical objects operate. then it will take you longer to rotate the mental image 180 degrees then rotate it 90 degrees. the dependent variable was reaction time not accuracy.

There are 20 girls on the basketball team. of these, 17 are over 16 years old, 12 are taller than 170 cm, and 9 are both older than 16 and taller than 170 cm. how many of the girls are older than 16 or taller than 170 cm?

Answers

17 are older than 16 years old and 12 are taller than 170 cm

Final answer:

By using the principle of inclusion-exclusion, we calculate that all 20 girls on the basketball team are either over 16 years old or taller than 170 cm, as the sum of the individual criteria minus the intersection equals the total number of girls on the team.

Explanation:

To determine how many of the girls on the basketball team are either over 16 years old or taller than 170 cm, we can use the principle of inclusion-exclusion. According to the information provided, there are 20 girls on the team in total, of which 17 are over 16 years old, 12 are taller than 170 cm, and 9 satisfy both criteria. The principle of inclusion-exclusion states that the number of elements in the union of two sets is equal to the sum of the sizes of each set minus the size of their intersection.

Using this principle:

Number of girls over 16 years old: 17

Number of girls taller than 170 cm: 12

Number of girls who are both over 16 and taller than 170 cm: 9

The calculation would be as follows:

17 (over 16) + 12 (taller than 170 cm) - 9 (both) = 20

Therefore, there are 20 girls on the team who are either older than 16 or taller than 170 cm.

If sin theta = 3/5 and cos theta <0 find tan theta

Answers

-3/4
Find cos to be -4/5
then
tan=sin/cos=(3/5)/(-4/5)=-3/4

using radicals, write an expression for the expression y 1/2

Answers

[tex]\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\ -------------------------------\\\\ y^{\frac{1}{2}}\implies \sqrt[2]{y^1}\implies \sqrt{y}[/tex]

Katie jogged 2.4 miles on Monday, 3.7 miles on Tuesday, and 2.9 miles on Wednesday. How many miles did Katie jog on Thursday if she jogged a total of 12.1 miles for the four days

Answers

  12.1 total
-   2.4 Monday
    3.7 Tuesday
    2.9 Wednesday
_______________
    3.1 Thursday
Heya!

Please refer the image for Answer!
Hope it helps...!!!

Which expression is equivalent to square root of 9x^2?

Answers

Let's take the square root of this

√(9x^2)

To make this easier, let's use the following property of roots.

√(ab) = √(a) * √(b)

Let's separate the square root into two different square roots.

√(9x^2)
= √(9) * √(x^2)

Now, let's solve for each square root individually.

√(9) = 3
√(x^2) = x

Now, combine them

3 * x = 3x

3x is your answer.

Have an awesome day! :)
9x^2 can be rewritten as 9*x*x or 3*3*x*x
You can think of 3*3*x*x as 3x*3x which is (3x)^2.

Now we can take the square root of (3x)^2 (which equals 9x^2).

√(3x)^2
The √ and the ^2 cancel out so you are left with 3x.

So, √9x^2 = √(3x)^2 = 3x.

3x is your answer!
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