Find x and y so that the ordered data set as a mean of 42and a median of 35.
17,22,26,29,34,x,42,67,70,56,y soln: 17+22+26+29+34+x+42+67+70+56+y= 363+x+y (363+x+y)/11=42 y=99/x x is median

Answers

Answer 1
Because the median is the average of the 5th & 6th items of data (because n = 10), the 6th item, x, must be 36 so that the median comes out to be 35. Then the sum of the first 9 items is 307 + 36 =343; the sum of all ten items is 343 + yand mean = (343 + y) /10 = 42.  This gives y = 420 - 343 = 77


Related Questions

If I have a grade of 74.98% and if I get an 80% on my test what will my grade go up to?

Answers

If you get 74.98% on a particular test, and then get 80% on another test, you've increased by 5.02%. So, yes... Your grade will go up.

Why do we use scientific notation, and what are the parts of an expression written in scientific notation?

Answers

We use scientific notation to make it easier to represent numbers very small to very large. EX: 6,000 Scientific Notation: 6^3

You need to know how to use it propeller to also use it at all

The number of fish (F) in a fish tank increases when the number of plants (P) increases. Write the correct equation for this scenario and solve for the number of fish when the number of plants is 3.

Answers

let y be the number of fish
let x be the number of plants
so we have the relation
y= exp(x) (exponential function)

when x=3, y=exp(3)= 19.68 fishes

Let h(x)=2x+5h(x)=2x+5h, left parenthesis, x, right parenthesis, equals, 2, x, plus, 5 and g(x)=8-3xg(x)=8−3xg, left parenthesis, x, right parenthesis, equals, 8, minus, 3, x. What is the value of h(g(1.5))h(g(1.5))h, left parenthesis, g, left parenthesis, 1, point, 5, right parenthesis, right parenthesis?

Answers

Final answer:

The question is asking for the value of h(g(1.5)) using given functions h(x) and g(x). First, find g(1.5) by substituting 1.5 into g(x) to get 3.5. Then, substitute 3.5 into h(x) to get the final answer of 12.

Explanation:

Firstly, identify the functions h(x) and g(x) given to you. h(x) =

2x+5

and g(x)=

8-3x

. The question requires you to find h(g(1.5)). This means that you need to plug g(1.5) into h(x).



Start by calculating g(1.5). In the function g(x), replace x with 1.5. g(1.5) = 8 - 3*1.5 = 3.5.



Now, substitute the value obtained, which is 3.5, into h(x). So, h(g(1.5)) turns into h(3.5) = 2*3.5 + 5 = 12. Therefore, the value of h(g(1.5)) is

12

.

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Final answer:

To calculate the composite function h(g(1.5)), first calculate the value of g(1.5) which is 3.5, then substitute this value into the function h(x) to get the answer, which is 12.

Explanation:

The question is asking us to find the value of h(g(1.5)). This means we need to first find the value of g(1.5) and then substitute that value into the function h(x).

So, let's first determine g(1.5). We know that g(x)=8-3x. Substituting 1.5 in place of x in g(x), we get: g(1.5) = 8 - 3*(1.5) = 8 - 4.5 = 3.5.

Next, to find h(g(1.5)), we substitute the value of g(1.5) which is 3.5 into h(x) to get: h(3.5) = 2*(3.5) + 5 = 7 + 5 = 12. Thus, the value of h(g(1.5)) is 12.

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There will be a circular patio with a diameter of 7 metres.   greg is going to put a tiled edge around the patio. what is the circumference of the patio? m circumference of a circle = 2πr use π = 3.14

Answers

if diameter is7, the radius is 3.5m
so c=2πr
       =2×3.14×3.5
       =21.98m

Answer:  The circumference of the patio is 21.98 meters.

Step-by-step explanation:  Given that there is a circular patio with a diameter of 7 meters. Greg is going to put a titled edge around the patio.

We are to find the circumference of the patio.

If 'r' units is the radius of a circle, then the circumference of the circle is given by

[tex]C=2\pi r.[/tex]

Since the diameter of the circular patio is 7 meters, so the radius 'r' will be given by

[tex]\textup{radius}=\dfrac{1}{2}\textup{ of the diameter}\\\\\Rightarrow r=\dfrac{1}{2}\times 7\\\\\Rightarrow r=3.5~\textup{meters.}[/tex]

Therefore, the circumference of the patio is given by

[tex]C=2\pi r=2\times 3.14\times 3.5=21.98~\textup{meters}.[/tex]

Thus, the circumference of the patio is 21.98 meters.

Mustafa contributes 11% of his $67,200 annual salary to his 401(k) plan. What is his pretax income?

Answers

You have to subtract the 11% that you are putting into your 401k to find out how much you are earning and that you're not putting into retirement.

67,200*0.11 = 7,392

67,200 - 7,392 = 59,808

Mustafa's pretax income after contributing 11% to his 401(k) plan is 59808 dollars.

What is the percentage?

A percentage is a value per hundredth.

Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given Mustafa contributes 11% of his $67,200 annual salary to his 401(k) plan.

∴ 11% of $67200 is = (11/100)×67200 dollars.

= 7392 dollars.

So, his pretax income is (67200 - 7392) dollars.

= 59808 dollars.

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mary has $500 in her savings account and she buy a pair of shoes every week for $125 write a function

Answers

500-125x
can't keep that habit up

if f(x)=x^2+3x+5, what is f(3+h)
A.(x^2+3x+5)(3+h)
B.h^2+9h+23
C.(3+h)^2+8+h
D.h^2+h+23

Answers

F(x) = x^2 +3x + 5. For f( 3+h), put x = 3+h. F( 3+h)= (3+h) ^2 + 3 (3+h) +5 = 9 +h^2 + 6h + 9 + 3h + 5 = h^2 + 9h + 23. B is the correct option.

Answer:

The value of the f (3 +h) is  h² + 9h + 23 .

Option (B) is correct.

Step-by-step explanation:

As the function given in the question be

f(x)= x² + 3x + 5

Now

f(3 +h )= (3 +h )²+3(3 + h)+5

Now by using the formula

(a + b)² = a² +  b² + 2ab

f(3 +h )= 3² + h² + 2 × 3 × h +3 × 3 + 3 ×h +5

f(3 +h )= 9 + h² + 6h  + 9  + 3h +5

f(3 +h )=  h² + 9  + 9 + 5 + 3h + 6h

f(3 +h )=  h² + 9h + 23

Therefore the value of the f (3 +h) is  h² + 9h + 23 .

Option (B) is correct.


need answers............

Answers

The answer is: [D]: "If [tex] x^{2} [/tex] = 100, then x = -10"
_______________________________________________
This answer, "Answer choice [D]", is the converse of the conditional statement given: "If x = -10, then [tex] x^{2} [/tex] = 100 . "
_________________________________________
As such, this is the correct answer choice.

an airplane takes off with a full tank of 40,000 gallons of fuel and flies at an average speed of 550 miles per hour. after 8 hours in flight, there are 14,000 gallons of fuel left. it will take another 3.5 hours for the plane to reach its destination. how much fuel will be left in the tank when the plane lands? what is the total distance of the flight?

Answers

total distance:
8+3.5=11.5
11.5x550= 6325

fuel that will be left in the tank: 
40,000-14,000=26000
26000/8=3250
3250 an hour
11.5x3250=37375
40000-37375=2625

Fuel in aeroplane when tank was full =  40,000 gallons.

Fuel left after flying for 8 hours = 14,000 gallons

Fuel consumed in 8 hours flight =40,000-14,000= 26000 gallons.

Fuel consumed in 1 hour time =  26000÷8= 3250 gallons.

Fuel consumed in remaining 3.5 hours = 3250x3.5=11375 gallons.

Total fuel consumed = 26000+11375 =37375 gallons.

Fuel left after landing =40,000 -37375=2625 gallons.

The second part is asking us to find total distance of the flight.

Total time of flight= 8+3.5=11.5 hrs

Speed of aeroplane = 550 miles per hour.

Distance covered = speed x time

Distance (Total ) covered = 550x11.5=6325 miles.



What is the solution of the system?

Use the substitution method.

{y−2x=8
{16+4x=2y

The only solution is (24, 0)

The only solution is (1, 10)

There is no solution.

There are an infinite number of solutions.

Answers

subsitution

solve for y in first equation
add 2x to both sides
y=2x+8
sub 2x+8 for y in second equation
16+4x=2(2x+8)
divide both sides by 2
8+2x=2x+8
true
there are infinite solutions for x
therefor infinite soltions for y


there are an infinite number of solutions

What makes the statement true? 8^-2=?

Answers

Answer:

[tex]\frac{1}{64}[/tex]  makes the statement true.

Step-by-step explanation:

Given expression,

[tex]8^{-2}[/tex]

By using the property of exponent, i.e. [tex]a^m=\frac{1}{a^{-m}}[/tex]

[tex]\implies 8^{-2}=\frac{1}{8^{2}}[/tex]

[tex]=\frac{1}{64}[/tex]

Hence, the true statement would be,

[tex]8^{-2}=\frac{1}{64}[/tex]

When rewriting y = 2x + 1 in function notation, what do you replace with f(x)?

Answers

Answer:

You replace y with f(x)

Step-by-step explanation:

- Function is a relation between two sets of numbers, with every element

 in the first set has only one corresponding element in the second set

- The first set is called the domain of the function (input)

- The second set is called the range of the function (output)

- If the first set is set X and the second set is set of Y, then each value

 of x has only one value of y and x is the input and y is the output

- Function notation is the way to write a function f(x) = y, where f(x)

 represents the values of y

∵ y = 2x + 1

∵ f(x) = y

- Replace y by f(x)

∴ f(x) = 2x + 1

* You replace y with f(x)

Answer:

That is what I got off of USA Test Prep

Step-by-step explanation:

For function notation you are saying that you have a relation that is a function of another variable. To correctly rewrite using function notation you replace y with f(x).

Celine has 2 coupons. One is for $5 off a purchase and the other is for 20% off a purchase. At what purchase price will the coupons have the same value?

Answers

Final answer:

To find the purchase price at which the $5 off coupon and the 20% off coupon have the same value, solve the equation x - $5 = 0.8x by isolating x.

Explanation:

To find the purchase price at which the $5 off coupon and the 20% off coupon have the same value, we need to set up an equation and solve for the purchase price.

Let's assume the purchase price is x dollars. The $5 off coupon would give us a discount of $5, so the price after the discount would be x - $5. The 20% off coupon would give us a discount of 20% of x, so the price after the discount would be 0.8x.

We can set up the equation:

x - $5 = 0.8x

Now we can solve for x:

x - 0.8x = $5

0.2x = $5

x = $25

Therefore, the coupons will have the same value at a purchase price of $25.

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Enter the degree of the polynomial below.

7x7 + 10x4 + 4x3 - 5x11 - 10x6 - 6x7

A. 6
B. 7
C. 11
D. 10 ...?

Answers

I bet, you can define it by the highest degree number. So the answer is C. 11

Answer:

degree of the polynomial is 11.

C is the correct option.

Step-by-step explanation:

We have been given the polynomial

[tex]7x^7+10x^4+4x^3-5x^{11}-10x^6-6x^7[/tex]

Rewrite this polynomial in standard form i.e from descending exponents

[tex]-5x^{11}-6x^7+7x^7-10x^6+10x^4+4x^3[/tex]

On simplifying, we get

[tex]-5x^{11}+x^7-10x^6+10x^4+4x^3[/tex]

Now, we know that the degree of the polynomial is the highest exponent.

Here, the highest exponent is 11.

Therefore, the degree of the polynomial is 11.

C is the correct option.

How many square feet of outdoor carpet will we need for this hole

Answers

Answer:

The actual answer is 36. If I am wrong i am sorry

Step-by-step explanation:


Answer:

36 square ft

Step-by-step explanation:

Would the placement of the parentheses affect the value of an expression when only multiplication is used? Explain.

Answers

Yes, the placement of parentheses can affect the value of an expression even when only multiplication is used. This is because parentheses can change the grouping of factors, which can in turn change the order of operations.

The order of operations is a set of rules that dictate the order in which operations should be performed in an expression. When there are no parentheses, the order of operations is as follows:

Exponents

Multiplication and division (from left to right)

Addition and subtraction (from left to right)

However, when there are parentheses, the operations inside the parentheses are performed first. This means that the order of operations is not always followed strictly from left to right.

For example, consider the following expression:

3 * 2 * 4

According to the order of operations, this expression should be evaluated as follows:

3 * 2 = 6

6 * 4 = 24

However, if we add parentheses to the expression, we can change the value:

(3 * 2) * 4

In this case, the parentheses tell us to evaluate the expression inside the parentheses first. So, we have:

(3 * 2) = 6

6 * 4 = 24

Therefore, the value of the expression is different depending on the placement of the parentheses.

This is because the parentheses change the grouping of factors. In the first expression, the factors are grouped as (3)(2)(4). In the second expression, the factors are grouped as ((3)(2))(4). This change in grouping changes the order in which the operations are performed, which can in turn change the value of the expression.

If M is the midpoint of LN and LN=27.8 , find the length of MN.

A. 13.8
B. 13.9
C. 14.2
D. 14.5

Answers

I hope this helps you
so we are missing a number. lets call it x
x which is mn +ml  =the complete line which is 27.8(LN)
so we have x +x =27.8
2x = 27.8
divide both sides by 2
x= 13.9

What is 1,019.7 rounded to the nearest whole number?

Answers

The answer is 1, 020

10,20 is 1019.7 rounded to the nearest whole number

Write a real- world problem that you can solve by writing an equation. the answer to the problem must be 6.

Answers

Clara has ten pencils. She wants to give some of her pencils to her four friends. She gave them four pencils. How many pencils are left with Clara?

If v=5, what is the value of 3v 9?

Answers

Missing part of your problem there. If v=5, 3v=15. Assuming you're adding the 9, the answer is 24. 

is the simplified form of 2√3 - 2√3 rational?

Answers

Yes, the answer is rational.
Final answer:

The simplified form of 2√3 - 2√3 is 0, which is a rational number.

Explanation:

In order to determine if the simplified form of 2√3 - 2√3 is rational, we first need to simplify the expression. Since we have the same terms being subtracted from each other, the expression will simplify to 0. Therefore, the simplified form is 0, and 0 is considered to be a rational number since it can be written as 0/1.

How do you write 9.76*10^-2 in standard form?

Answers

9.76*10^-2  is already in standard form.


9.76*10^-2.

What's 2015473 in expanded form

Answers

the number expanded will be 2.000.000 + 10.000 + 5.000 + 400 + 70 + 3

The expanded form of the number 2015473 is  2,000,000 + 10,000 + 5,000 + 400 + 70 + 3.

What is an expanded form of the number?

The division of numbers into groups according to place value, such as ones, tens, hundreds, thousands, ten thousand, and so forth, results in the expanded form of the number.

The expanded form of the number is the one that is represented by the sum of each digit times its place value.

The given number is 2015473. The given number in the expanded form will be written as,

2015473 = 2,000,000 + 10,000 + 5,000 + 400 + 70 + 3.

Therefore, the expanded form of the number 2015473 is  2,000,000 + 10,000 + 5,000 + 400 + 70 + 3.

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How many solutions does this equation have?

Answers

none because they are not equal the first one is estimated up the same as the second but has a different out come

If the point (8,4) is on the graph of an even function ,what other point must also be on the graph ?

Answers

Final answer:

If the point (8,4) is on the graph of an even function, the point (-8,4) must also be on the graph.

Explanation:

An even function is a function that satisfies the property f(x) = f(-x) for all values of x in the domain of the function. If the point (8,4) is on the graph of an even function, then the point (-8,4) must also be on the graph. This is because substituting x = -8 into the function would give the same y-value as when x = 8.

Solve for x.

5x - 1 = 26
A)x=27/5
B)x=5
C)-5

Answers

5x - 1 = 26
Add 1 to both sides
5x = 27
Divide 5 on both sides
Final Answer: x= 27/5 or 5 2/5 *Both fractions are equivalent to each other.
x=27/5
27/5 = 5.4
5.4 x 5 - 1 = 26

Chris is calculating his deductions for his tax return. He is filing singly. He can claim $1,813 from property taxes, $1,513 from medical expenses, and $761 from state income tax. The standard deduction for a single filer is $5,700. How does the standard deduction compare to Chris’s deductions? a. Chris’s deductions are $1,437 better than the standard deduction. b. Chris’s deductions are $4,087 better than the standard deduction. c. The standard deduction is $1,613 better than Chris’s deductions. d. The standard deduction is $664 better than Chris’s deductions.

Answers

You add
1,813 + 1,513 + 761 = 4,087
Then you subtract
5,700 - 4,087 = 1,613
It's C. The standard deduction is $1,613 better than Chris's deductions
I just took the test.

Answer:

(C)

Step-by-step explanation:

Chris's deductions for tax return = claim from property taxes +claim from medical expenses+claim form state income tax

              = $1813+$1513+$761

              = $4087

Standard deductions = $5700

Difference between standard deduction and Chris's deductions = 5700-408

                                                                  = $1613

Hence standard deductions is better than Chris's deductions by $1613

Therefore, option (C) is correct.

Which of the following is the solution to the equation 5/6 x = -1/6 ?

Answers

[tex]\displaystyle \\ \frac{5}{6} \cdot x= -\frac{1}{6} \\ \\ \\ x= -\frac{1}{6}:\frac{5}{6} \\ \\ \\x=-\frac{1}{\not6} \cdot \frac{\not6}{5} = - \frac{1}{5} [/tex]

What is 3 5/8 as a decimal?

Answers

It would be: 3 5/8 = 29/8 = 3.625

So, your correct answer is 3.625

Hope it helped.

The required 3 5/8 as a decimal is 3.625, as of the given mixed fraction.

What is decimal value?

Decimal value is defined as showing the place value of the digits in a decimal number. If any proportion of the digit is lower than 1 it would be represented after the dot right to the absolute value,

Here,

To convert 3 5/8 to a decimal, we can first convert the mixed number to an improper fraction and then divide the numerator by the denominator using a long division or a calculator. Here are the steps,

3 5/8 = (3 x 8 + 5)/8 = 29/8

Dividing 29 by 8 using long division, we get:

3 5/8 =  3.625

Therefore, 3 5/8 as a decimal is 3.625.

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