Mathematics High School

What is the median of the data set?

42 55 27 31 17 24 65 47 39 18

A. 21


B. 35


C. 17


D. 24

Answers

Answer 1
first we need to arrange the numbers in this number set from smallest to biggest:17,18,24,27,31,39,42,47,55,65. Then there are 10 numbers in this number set. So when we calculate the median, we need to find the middle two numbers and calculate their average. So the median is (31+39)/2=35. SO the answer is B
Answer 2
B᷉᷈. 35

Y᷉᷈o᷉᷈u᷉᷈ p᷉᷈l᷉᷈a᷉᷈c᷉᷈e᷉᷈ t᷉᷈h᷉᷈e᷉᷈m᷉᷈ i᷉᷈n᷉᷈ n᷉᷈u᷉᷈m᷉᷈e᷉᷈r᷉᷈i᷉᷈c᷉᷈a᷉᷈l᷉᷈ o᷉᷈r᷉᷈d᷉᷈e᷉᷈r᷉᷈
T᷉᷈h᷉᷈e᷉᷈n᷉᷈ f᷉᷈i᷉᷈n᷉᷈d᷉᷈ t᷉᷈h᷉᷈e᷉᷈ m᷉᷈i᷉᷈d᷉᷈d᷉᷈l᷉᷈e᷉᷈ n᷉᷈u᷉᷈m᷉᷈b᷉᷈e᷉᷈r᷉᷈

Related Questions

Name at least one advantage of credit cards

Answers

You can pay back stores later (or the bank)

A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.

Answers

3.14 x 9^2 x 14/3 = 1186.92

4/3 x 3.14 x 9^3 = 1526.04

1186.92 + 1526.04 = 2712.96  = 2713 cubic inches

Answer: V = 2712.94 cubic inches.

Step-by-step explanation: The prop is formed with two objects: cone and half of a sphere. To calculate the volume, find the volume of the cone and the half-sphere and add them together.

Volume of Cone:

V₁ = [tex]\frac{1}{3}.B.h[/tex]

B is area of the base

h is height

Since the cone has its base as a circle, the volume will be:

V₁ = [tex]\frac{1}{3}[/tex].π.[tex]r^{2}[/tex].h

V₁ = [tex]\frac{1}{3}[/tex] . 3.14 . [tex]9^{2}[/tex] . 14

V₁ = 1186.9 cubic inches

Volume of Half-Sphere:

V₂ = [tex]\frac{2}{3}[/tex].π.[tex]r^{3}[/tex]

V₂ = [tex]\frac{2}{3}[/tex] . 3.14 . [tex]9^{3}[/tex]

V₂ = 1526.04 cubic inches

Total Volume:

V = V₁ + V₂

V = 1186.9 + 1526.04

V = 2712.94 cubic inches

The volume of the prop is V = 2712.94 cubic inches

Olivia just graduated with an Associates degree and is working as a secretary in a firm earning 9.75 an hour.Her contract stipulates that she will get an annual rasie of 6% until she reaches the rate of $15.50 an hour. sheshow long would it take for Olivia to earn $15.50 an hour? math

Answers

Answer: In about 8 years, she will reach the rate of $15.50

This is an exponential equation. We could write and solve the equation below to find the answer.

9.75(1.06)^x = 15.5


(1.06)^x = 15.5/9.75    Divide both sides by 9.75

x (log(1.06)) = log(15.5/9.75)   Take the log of both sides and bring down the x.

x = log(15.5/9.75) / log(1.06)    Divide both sides by log(1.06)

x = 7.956

Therefore, we can round it up to 8 years.

PLEASE URGENT MATH HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

In the figure, YX−→− and YZ−→− are tangents to circle A at points X and Z, respectively.

mXZ=140∘
mXSZ=220∘



What is the measure of ∠XYZ ?

Answers

The measure of an angle formed by two tangents intercepting at a point outside a circle is equal to half the difference of their intercepted arcs.
XYZ = 1/2(XSZ - XZ)
XYZ = 1/2 (220 - 140)
XYZ = 1/2 (80)
XYZ = 40

The measure of angle XYZ is 40 degrees.

Hope this helps =)

helpppppppppppppppppppp

Answers

For this case we evaluate the function when x = 0
 We then have to evaluate:
 y = 3cosx + 3
 y = 3cos0 + 3
 y = 3 + 3
 y = 6
 Then, for x = pi
 y = 3cosx + 3
 y = 3cospi + 3
 y = -3 + 3
 y = 0
 Answer: 
 y = 3cosx + 3 
 option 2

What is the equation of a vertical line passing through (−5, −2)?
x = −5
y = −2
x = −7
y = −3

Answers

A vertical line will pass through  one value of x  
here the equation is x = -5   ( the x coordinate of (-5,-2)

Answer:

x = -5

First option is correct.

Step-by-step explanation:

The vertical line is passing through the point (−5, −2).

The equation of a vertical line is in the form x = k

For vertical line, the x-coordinate of each point that lie on the line remains same. Only the y-coordinate is different

For the given point, the x-coordinate = -5

Hence, k = -5

Therefore, the equation of line is x = -5

First option is correct.

3. Use the description of each triangle to draw a picture of the triangle. Write and solve equations to find missing angle measures when necessary. Label the measures of all angles of the triangle and mark congruent sides and right angles. (You do not need to draw the triangle exactly to scale.) (a) right isosceles triangle (b) equiangular (all three angles congruent) isosceles triangle (c) acute scalene triangle with two angle measures of 57° and 82°

Answers

Answer: See Explanation below.

For part A, the right isosceles triangle, you must have a triangle with a right angle, 90 degree. Then, the two legs must be congruent.

For part D, draw a triangle with all 3 angles being 60. This will make the sides congruent also.

For part C, the three measures of your triangle will be 57, 82 and 41. The measures of the sides don't matter, they will all be different.

A similarity transformation maps ABC to JKL. The measure of of preimage ABC is 105°. The scale factor of the dilation in the similarity transformation is 1.5. If in the preimage corresponds to in the image, what is m?

Answers

From your question above, the answer to m∠J is 105°. A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x.
The correct answer is: C) 105 degrees

given that cos 42° ~0.743 what is the sine of the complementary angle

Answers

check the picture below, notice that is just an example relating the cosine and sine values in a right-triangle of the complementary angles.

so if the cos(42°) is "whatever", the sin(90° - 42°) is then, well, you know already.

The sum of 555 consecutive integers is 505505505.
What is the third number in this sequence?

Answers

the correct question is
The sum of 5 consecutive integers is 505. What is the third number in this sequence?
Let
x-----------> first integer
x+1-----------> second integer
x+2-----------> third integer
x+3-----------> fourth integer
x+4-----------> fifth integer
we know that
x+(x+1)+(x+2)+(x+3)+(x+4)=505
then
5x+10=505----------> x=(505-10)/5---------> x=99
therefore
the third integer is (x+2)------> 99+2=101

the answer is 101

Michelle works at a store that sells clothing accessories. The supply function for baseball caps is P=Q-6, where P is the price and Q is the quantity of baseball caps. If Michelle sells the baseball caps for $19 apiece, how many baseball caps will the store make?
A. 31 baseball caps
B. 6 baseball caps
C. 19 baseball caps
D. 25 baseball caps

Answers

All you have to do is substitute the price with P because P is the price.

19 = Q - 6

You'll add 6 on both sides.

25 = Q

So the answer choice D is the right answer.

Answer:

25

Step-by-step explanation:

Given : The supply function for baseball caps is P=Q-6, where P is the price and Q is the quantity of baseball caps.

To Find: If Michelle sells the baseball caps for $19 apiece, how many baseball caps will the store make?

Solution:

The supply function for baseball caps is P=Q-6

where P is the price

Q is the quantity of baseball caps.

Now we are given that Michelle sells the baseball caps for $19 a piece.

So, P = 19

Substitute the value in the function:

19=Q-6

19+6=Q

25 =Q

Thus If Michelle sells the baseball caps for $19 apiece, the store make will make 25 baseball caps .

Find two positive consecutive odd integers such that the square of the larger integer is one less than twice the square of the small integer.

Answers

Let
x---------------> first  positive odd integer
x+2------------> second  positive consecutive odd integer

we know that
(x+2)²=2x²-1---------> x²+4x+4=2x²-1-------> x²-4x-5
x²-4x-5=0
using a graph tool--------> to calculate the quadratic equation
see the attached figure

the solution is
x=5

the answer is
the first  positive odd integer x is 5
the second  positive consecutive odd integer x+2 is 7

Answer:

smaller integer = 5

Larger integer = 7

Step-by-step explanation:

Let the first odd integer be x

Then the next consecutive integer will be x + 2

Now, The square of larger integer is 1 less than twice the square of the smaller integer.

As, x < x + 2

Smaller integer = x

Larger integer = x + 2

⇒ (x + 2)² + 1 = 2·x²

⇒ x² + 4 + 4x + 1 = 2x²

⇒ x² - 4x - 5 = 0

⇒ x² - 5x + x - 5 = 0

⇒ x(x - 5) + 1(x - 5) = 0

⇒ (x - 5)(x + 1) = 0

⇒ x = 5 or x = -1

But we need positive integer so x = -1 is rejected.

Hence, x = 5

So, smaller integer = 5

Larger integer = 7

Using the graph below, calculate the average rate of change for f(x) from x = 2 to x = 6.

exponential function going through points 2, 2 and 6, 6

−4
−1
1
4

Answers

The graph passes through the points (2,2) and (6,6)
This means
f(2) = 2
f(6) = 6

The average rate of change of f(x) x = 2 to x = 6 will be:

[tex] \frac{f(6)-f(2)}{6-2} = \frac{6-2}{4}= \frac{4}{4}=1 [/tex]

Thus the average rate of change of given function from x = 2 to x = 6 is 1

Answer:

The average ate of change for f(x) from x=2 to x=6 is one, (1). Also seen as choice c.

Step-by-step explanation:


19) What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x) + 3?
A) shifts the line 3 units up
B) shifts the line 3 units down
C) increases the slope of the line by a factor of 3
D) decreases the slope of the line by a factor of 3

Answers

I think the answer is A

The square of nine less than a number is three less than the number. What is the number ?

Answers

Let n represent the number.
.. (n -9)^2 = n -3 . . . . . the square of 9 less than the number is 3 less than the number
.. n^2 -18n +81 = n -3
.. n^2 -19n +84 = 0
.. (n -7)(n -12) = 0
.. n = 7 or 12

The number could be 7 or 12.


_____
Check:
.. (7 -9)^2 = (-2)^2 = 4 = 7 -3 . . . . answer checks OK
.. (12 -9)^2 = 3^2 = 9 = 12 -3 . . . . answer checks OK
Final answer:

The original problem is translated into a quadratic equation. By following the process of expanding, moving all terms to one side and solving the resulting equation yield the overall possible solutions x = 4 or x = 1.

Explanation:

The question is asking to solve for a number based on a given condition. In this case, let's symbolize this unknown number with x. The problem can be written as an algebraic equation which is (x-9)^2 = x-3. You solve it first by expanding the equation, then move all terms to one side of the equation, to get a quadratic equation. Then, solve the quadratic equation to get the possible values of x. If you follow these steps, you will find that the possible solutions for this equation are x = 4 or x = 1.

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a company invest 15000 in an account that compounds interest annually after 2 years the account is worth 160099.44. use the function which R is the annual interest rate p is the principal and A is the amount of money after T years ...what is the interest rate of the account

Answers

Hey there :)

We all know the formula of simple interest
I = prt { You can take a look at the picture attached to see what each stands for }

Given are initial amount invested → $15000
                  period of time → 2 years
                  Amount after 2 years → $16099.44

I = Amount as final - Initial
  = $1099.44

We need to find the interest 
1099.44 = 15000( 2 ) r
1099.44 = 30000r
[tex] \frac{1099.44}{30000}= \frac{30000r}{30000} [/tex]
r = 0.036648

Rate as percentage = 0.036648 x 100 = 3.6648%

The interest rate of the account is 3.6648%

More than 450 students traveled to a state park for a field trip. The school allowed 6 students to travel by car, and the rest traveled on 11 buses, each of which held the same number of students. If there were S students in each bus, which inequality best represents this situation?

Answers

The number students (S) must be greater than the minimum allowed when 450 students.
S > (450 - 6)/11
So now get the 450 alone:
S×11 > 450 - 6
11S +6 > 450 -6+6
11S + 6 > 450

You invest 1000 in an account at 2.5% per year simple interest how much will you hav in your account at the beginning of the 4th year round your answer to the nearest whole dollar

Answers

notice, that, at the beginning of the 4th year, you're only getting interest for the previous 3 years, since the fourth year is just starting and hasn't accumulated any interest yet,

[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$1000\\ r=rate\to 2.5\%\to \frac{2.5}{100}\to &0.025\\ t=years\to &3 \end{cases} \\\\\\ A=1000(1+0.025\cdot 3)\implies A=1000(1.075)[/tex]

The sum of three consecutive integers is -96. What is the larger integer

Answers

Let the first integer be x. Since the three integers are consecutive, the next two integers will be x + 1 and x + 2, respectively. Collectively the integers add to equal -96. That means you can set our expressions for the integers to -96, like so:

-96 = x + (x + 1) + (x + 2)

Now we can solve algebraically for x.

-96 = x + (x + 1) + (x + 2)
-96 = x + x + 1 + x + 2
-96 = 3x + 3
-99 = 3x
-33 = x

The first integer is x, so the first integer is -33.
The second integer is x + 1, so the second integer is -32.
The third integer is x + 2, so the third integer is -31.

Let's quickly add these integers to see if their sum is -96.

-33 + (-32) + (-31)
-33 - 32 - 31 = -96

These three consecutive integers add to equal -96. The question asks for the larger integer. Recall that the higher the number in front of a negative sign, the smaller the number. -2 is smaller than -1. That means the order of the integers from largest to smallest is -31, -32, -33.

Answer:
The largest integer is -31.

What do you need to do to solve x/6=18

Answers

Multiply the equation by 6.
  x = 6*18 = 108
x/6=18 

Simple, just multiply each sides by 6 

Answer is x = 108 

Hope this helps! 
Have a great day. 

Which of the following are independent pairs of events? Check all that apply.
A.Flipping two coins and having one show a head and the other show a head
B.Being sneezed on and catching a cold
C.When rolling a pair of dice, getting a total of 6 and having one die show a 3
D.Rolling a 4 on one die and rolling a 2 on another die
E.Seeing clouds and winning the lottery,

Answers

The best answer for these question would be:

A. Flipping two coins and having one show a head and the other show a head

D. Rolling a 4 on one die and rolling a 2 on another die

E. Seeing clouds and winning the lottery

 

Independent events in math means that the first situation does not affect the other variable. It is generally the individual probability that will happen to the solution. Which means that you have to determine whether the first situation will be affected on the second events that will happen. While the dependent events, have the opposite effect.

For the function f(x) = (8-2x)2 ,find f-1 . Determine whether f-1 is a function.




A.
f-1(x) = ;f-1 is a function


B.
f -1 (x) = ; f-1 is not a function


C.
f-1(x) = ;f-1 is not a function


D.
f-1(x) = ; f-1 is a function

Its not A!,

Answers

The answer is C I checked and pass the test with the same answer you should be good.

f­-1(x) = 8±√x/2; f­-1 is not a function, is the answer

The true conditional statement, "If 5x+7=2x-1 then 3x+7=-1," illustrates which property of equality?
A.Addition
B.Subtraction
C.Multiplication
D.Division
Will Give Medal And Be Fan For Answer!,

Answers

The difference between the two inequalities involves subtracting the value of 2x from both sides, so this illustrates the subtraction property of equality.

The perimeter of a rectangle is 256 inches. How long are the sides if the length exceeds the width by 16 inches? mark X represent the width of the rectangle and write the Equation 2X +2(x+16)=256. Solving for X the width of the rectangle is what

Answers

Answer: 56 inches

-------------------------------------------
Equation Given
-------------------------------------------
2x +2(x + 16) = 256

-------------------------------------------
Apply Distributive Property
-------------------------------------------
2x + 2x + 32 = 256

-------------------------------------------
Combine like terms
-------------------------------------------
4x + 32 = 256

-------------------------------------------
Subtract 32 from both sides
-------------------------------------------
4x = 224

-------------------------------------------
Divide by 4 on both sides
-------------------------------------------
x = 56

-------------------------------------------
Answer: The width is 56 inches.
-------------------------------------------

What is the simplified form of 8b^3c^ 2a + 4b^3c^2?

Answers

[tex]8b^{3} c^2+4b^{3} c^2[/tex]
[tex]= (8+4) b^{3} c^2[/tex]
[tex]=12 b^{3} c^2[/tex]

Be carefully, normally there is no a in your expression. I think you made a mistake.

Hope this helps !

Photon

A drawer contains 4 red socks, 3 white socks, and 3 blue socks. Without looking, you select a sock at random, replace it, and select a second sock at random. What is the probability that the first sock is blue and the second sock is red?

Answers

The probability that the first sock is blue and the second sock is red is:
(3/10) * (4/10)=3/25.

Answer:

[tex]\texttt{Probability}=\frac{3}{25} [/tex]

Step-by-step explanation:

Probability is the ratio of number of favorable outcome to total number of outcomes.

Total number of socks = 4 + 3 + 3 = 10

Number of blue socks = 3

Number of red sock = 4

[tex]\texttt{Probability of selecting blue sock}=\frac{3}{10} \\ [/tex]

[tex]\texttt{Probability of selecting red sock}=\frac{4}{10} \\ [/tex]

For finding the combined probability we need to multiply both the values

[tex]\texttt{Probability that the first sock is blue and the second sock is red}=\frac{3}{10}\times \frac{4}{10}=\frac{12}{100}=\frac{3}{25} \\ [/tex]

[tex]\texttt{Probability}=\frac{3}{25} [/tex]

please anyone help me

A show is on friday,saturday and sunday
2/5 of the total ticlets are for the saturday show.
240 tickets are sold for the saturday show.
three times as many tickets are sold for the sunday show as for the friday show
How many tickets are sold for the sunday show?

Answers

Hey There!!!!


The Answer Is > 240 x 3 = 720 so 720 is your answer!!


Please Mark Me Brainliest :) :) Annierosehodge (: (:
720 tickets would be you’re answer

when using the binomial formula which of the following is the correct step in the expansion of (x+y)^4

Answers

Final answer:

The correct step in the expansion of (x+y)^4 is to determine the coefficients for each term using the binomial formula.

Explanation:

The correct step in the expansion of (x+y)^4 using the binomial formula is to determine the coefficients for each term.

In this case, the coefficients can be found using the formula n choose k, where n is the exponent (4) and k is the power of either x or y in each term.

For example, the term with x^3*y would have a coefficient of 4 choose 3, which is equal to 4.

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What is the scale factor used to create the dilation?
A: 1/2
B: -1/2
C: 2
D: -2

Answers

SF = 2

ansswer

C: 2

hope it helps

Does the point (3,7) lie on inside or outside the circle

Answers

IM GUESSING OUTSIDE THE CIRCLE
if there was a picture or something it would help a lot but I'm gonna wing it and say inside the circle
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