The mean of a set of five numbers is 4.8. Given that the sixth number is x and the mean of these six numbers is 5.5, find the value of x.

Answers

Answer 1
Given that the mean of the five numbers is 4.8, the total of the numbers will be:
5×4.8
=24
after adding x, the total will be:
(24+x)
the mean will be:
(24+x)/6=5.5
solving for x we get:
24+x=33
hence
x=33-24
x=9

The sixth number is 9

Related Questions

amanda is shipping a package, which is in the shape of a cube. To determine the cost of shipping, she must determine the side length of the packages She knows that the volume of the package is V cubic inches
Which of the follow functions would best model this situation above?

Cube root
Polynomial
Piecewise
Absolute Value

Answers

By definition, the volume of a cube is given by:
 V = L ^ 3
 Where,
 L: length of the sides
 Clearing L we have:
 L = 3 ^ root (V)
 Answer:
 
A function that would best model this situation above is:
 
Cube root

The product of a number (n) and 12 is 64. Which equation shows this relationship

12+n=64

64n=12

12n=64

64-n=12

Answers

The equation that shows the relationship between the number (n) and 12 being multiplied to equal 64 is 12n = 64, the correct option is C.

In this equation, the variable n represents the number we are trying to find. The equation states that when we multiply 12 and n together, the result is 64.

To solve this equation and find the value of n, we divide both sides of the equation by 12:

(12n)/12 = 64/12

n = 64/12

Which can be further simplified to:

n = 16/3

Therefore, the equation that represents the relationship between the number (n) and 12 being multiplied to equal 64 is 12n = 64.

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Draw four different triangles with the following two side lengths (you decide the length of side c). Be sure to label the sides and their lengths.

Side a = 2 cm

Side b = 5 cm


















Look at the triangles you created. What do you notice about the different lengths of line c?

Write an inequality that shows the possible lengths for line c (the triangle inequality theorem will help you):

Answers

The different length of c is greater than the sum of the length of the other two sides (2+5 =7).

If the assumed length of c is less than 7, a triangle will not be formed.

Answer:

As we can observe from the drawing that with increasing length of side C the angle C also increases.

The population of a city is 578,992. The land area of the city is 67.2 mi². What is the population density of the city? Enter your answer in the box. Round your answer to the nearest whole number.

Answers

we know that
Population Density = Number of People / Land Area.

then
Number of People=578,992
Land Area=67.2 mi²
so
Population Density =578,992/67.2-----> 8615.95 people/mi²

the answer is
8616 people/mi²

Just took the K12 test and the correct answer is 8616 people/mi²

(please give the other person brainliest-thanks!!!)

I NEED HELP CAN SOMEONE HELP ME GET THIS?? ILL GIVE POINTS!!

Answers

Oh OK 

this =  (a^24 b^-3)  /  ( a^15 b^-9) 

 = a^9 b^6   Answer

Answer:

[tex]a^{9}b^{6}[/tex]

Step-by-step explanation:

What is the value of x?

a. 6
b. 6√3
c. 12
d. 12√3

Answers

The answer should be 6(square root of)3 because in a 30 60 90 triangle the small leg is equal to half the length of the hypotenuse and the long leg is equal to the small leg times the square root of 3

Factor this trinomial completely.

–6x2 + 26x + 20

A. –6x2 + 26x + 20
–2(3x2 – 13x – 10)
–2(3x + 2)(x – 5)
B. –6x2 + 26x + 20
–2(3x2 + 11x + 10)
–2(3x + 5)(x + 2)
C. –6x2 + 26x + 20
–2(3x2 – 13x – 10)
–2(3x – 10)(x + 1)
D. –6x2 + 26x + 20
–2(3x2 – 13x + 10)
–2(3x – 5)(x – 2)

Answers

I cannot see the options clearly so I will just do the work and the answer will be at the end.

6x² + 26x + 20
6x² + 6x + 20x + 20
6x(x + 1) + 20(x + 1)
(6x + 20)(x + 1)
2(3x + 10)(x + 1)

2(3x + 10)(x + 1) is your answer.

First, factor out -2 from the trinomial, and then factor the resulting quadratic expression by grouping. The correct factored form is -2(3x + 2)(x - 5).

To factor the trinomial “6x² + 26x + 20 completely, follow these steps:

First, factor out the greatest common factor, which is -2:

“6x² + 26x + 20 = –2(3x² – 13x – 10).Next, factor the quadratic expression inside the parentheses:

3x² – 13x – 10.
We need to find two numbers that multiply to (3 × -10 = -30) and add up to -13. Those numbers are -15 and 2.Rewrite the quadratic equation using these numbers:

3x² – 15x + 2x – 10.Now, factor by grouping:

3x(x – 5) + 2(x – 5) = (3x + 2)(x – 5).Combining everything, we get:

–2(3x + 2)(x – 5).

Therefore, the correct factored form is (Option A) “2(3x + 2)(x – 5).

HELPP ILL GIVE MAD POINT PLEASE

Answers

since it is looking for the sum
at S3, replace n with 3 , 2, and 1 , solve the equation  and add all of answers together
 when s = 3 the equation becomes 5(1/3)^3-1
5(1/3)^2 = 5/9

when s = 2 the equation becomes 5(1/3)^2-1
5(1/3)^1 = 5/3

when s = 1 the equation becomes 5(1/3)^1-1
5(1/3)^0 = 5

5/9 + 5/3 + 5 =  65/9

the answer is the 3rd choice

Blue marbles, green marbles and red marbles are in a ratio of 5 to 7 to 8 in a box. if the total number of marbles is 240, how many green marbles are in the box?

Answers

The fraction of marbles in the box that is green = ⁷/₍₅₊₇₊₈₎
                                                                               
                                                                                =  ⁷/₂₀

If there are 240 marbles in the box, then the number of green marbles = (240 × ⁷/₂₀) = 84 marbles

∴ 84 of the marbles in the bag are green.
                          

The scale of a map is 0.5 inch : 20 miles. on the map, the distance between two cities is 1.5 inches. what is that actual distance between the two cities? select one:
a. 30 miles
b. 150 miles
c. 60 miles
d. 110 miles

Answers

i think it is b 150m

What is the best estimate of the mean price of all the sunglasses on the rack?

Answers

$17 is the answer to this problem
.
The mean of the sample is
  (12 +12 +14 +15 +18 +20 +20 +25)/8 = 136/8 = 17

The best estimate of the mean of the population is
  $17

∠ACE is formed by two secants intersecting outside of a circle. If minor arc BD = 28°, minor arc AB = 112°, and minor arc DE = 112°, what is the measure of ∠ACE? A) 14° B) 28° C) 40° D) 54°

Answers

D) 54 degrees:

BD+AB+DE+2ACE" on the circumference twice on the center"=360

28+112+112+2ACE=360

2ACE=108

∠ACE=54

Answer:

its 40 degrees

Step-by-step explanation:

rata ta taaa

Given y = 4x + 3, what effect does changing the equation to y = 2x + 3 have on the slope? 

Answers

the answer is C
Hope this helps!
can I get a brainleist pls!
Final answer:

Changing the slope of the equation from 4 to 2 reduces the steepness of the line in the graph, with the y-intercept remaining constant at 3.

Explanation:

The student asked about the effect on the slope of the linear equation when changing from y = 4x + 3 to y = 2x + 3. The slope of the first equation is 4, which can be seen from the coefficient of x, indicating a rise of 4 on the vertical axis for every increase of 1 on the horizontal axis. When the equation changes to y = 2x + 3, the slope is reduced to 2, which means there is a rise of 2 on the vertical axis for every increase of 1 on the horizontal axis. This change in the slope would cause the line to rotate clockwise when graphed on a coordinate plane. The y-intercept remains the same at 3 since it is unchanged in both equations. Therefore, changing the equation has the effect of decreasing the steepness of the line, but the location where the line crosses the y-axis does not change.

If the ratio of the radii of two spheres is 8:9, what is the ratio of the volumes of the two speheres

Answers

let 
A------------> smaller sphere
B----------> larger sphere
radius of sphere A-------> rA
radius of sphere B----> rB

we know that
rA/rB=8/9
the scale factor is equal to 8/9
volume smaller sphere A=[scale factor]³*volume larger sphere B
volume smaller sphere A/volume larger sphere B=[scale factor]³
volume smaller sphere A/volume larger sphere B=[8/9]³----> 512/729

the answer is
512/729

A field goal post in football is 3.33 yards above the ground. If a football player kicks the ball at a 10 degree square angle in a straight line toward the goal post what is the distance away in yards where the ball barely goes over the goal post

Answers

  The distance is 19 yards or 18.9 yards:
because tan(10)=opposite/adjacent=3.33/x and x is distance
x=3.33/tan(10)=18.9 yd
If u multiply 3.33•10 your answer will be 33.3

what crime is illigal but you cant get arrested for

Answers

a crime u can get arrested for is assault
If you break any law/crime you will most likely get arrested for it!

Which applies the power of a product rule to simplify (5t)^3?

Answers

[tex](5t)^3 = 125t^3[/tex]

Answer:

[tex]125t^{3}[/tex]

Step-by-step explanation:

The power product is given by the following formula:

[tex](ab)^{x} = a^{x}*b^{x}[/tex]

In this case, this gives us:

[tex](5t)^{3} = (5)^{3} * t^{3}[/tex]

        = [tex]125*t^{3}[/tex]

        = [tex]125t^{3}[/tex]

Troy has a box of 600 tiny blocks. Each block is a cube with dimensions of 1 cm x 1cm x 1cm. The blocks are arranged in the box in rows and layers so that there are no gaps. Which could be the dimensions of the box?
a. 5 cm x 10 cm x 12 cm
b. 5 cm x 10 cm x 10 cm
c. 10 cm x 10 cm x 12 cm
d. 200 cm x 200 cm x 200 cm

Answers

you need help or not lol

Given that the two triangles shown are congruent, explain one way to verify that the corresponding angles of the two triangles are congruent.

A) reflect triangle 1 across the y-axis

B) reflect triangle 2 across the y-axis

C) rotate triangle 2 counter-clockwise 90° about the origin

D) reflect triangle 2 across the y axis and rotate 90° about the origin at

Answers

The two triangles shown are congruent because triangle 1 has been formed from triangle 2 by rotating triangle 2 through and angle of 90°. Thus the correct answer will be:

C) rotate triangle 2 counter-clockwise 90° about the origin 

Answer:

The correct option is C.

Step-by-step explanation:

From the given graph it is noticed that the vertices of triangle 1 are P'(-2,2), Q'(-4,4) and R'(-2,4). The vertices of triangle 2 are P(2,2), Q(4,4) and R(4,2).

If a figure rotated counter-clockwise 90° about the origin, then

[tex](x,y)\rightarrow (-y,x)[/tex]

If we rotate triangle 2 counter-clockwise 90° about the origin, then[

[tex]P(2,2)\rightarrow P'(-2,2)[/tex]

[tex]Q(4,4)\rightarrow Q'(-4,4)[/tex]

[tex]R(4,2)\rightarrow R'(-2,4)[/tex]

If we rotate triangle 2 counterclockwise, then we get the triangle 1.

Therefore the correct option is C.

The scatterplot shows the depth of water in swimming pools, y, based on the days after filling, x. graph What can you conclude from the graph? Check all that apply. The depth of the water in the swimming pool decreases over time. The data are clustered. There are no outliers in the data. In general, increased time does not affect the depth of the water in the swimming pool.

Answers

1) The data is clustered

2) Increased time does not affect the depth of the water.

A scatterplot is a kind of graph in which each point on the graph represents an observation and values for two variables are shown using Cartesian coordinates. Generally, the dependent variable is represented by the y-axis, and the independent variable by the x-axis. Relationships, trends, patterns, and outliers between the variables can be found using scatterplots.

They can demonstrate, for instance, if a correlation is positive, negative, or absent. One can draw conclusions about the potential relationship between the two variables by looking at the point distribution.

Answer:

1) The depth of the water in the swimming pool decreases over time.

2)The data are clustered.

3)There are no outliers in the data.

Step-by-step explanation:

A pet store has 12 ​puppies, including 3 ​poodles, 5 ​terriers, and 4 retrievers. if rebecka and​ aaron, in that​ order, each select one puppy at random without​ replacement, find the probability that aaron selects a​ retriever, given that rebecka selects a poodle.

Answers

The probability that Aaron will select a retriever given that Rebecka has selected a poodle is 4/11.

To calculate the probability that Aaron selects a retriever given that Rebecka selects a poodle, we will use the concept of conditional probability. The total number of puppies is 12, and the number of poodle puppies is 3.

When Rebecka selects a poodle, one puppy is removed from the total, leaving 11 puppies, including the same 4 retrievers (since she did not pick a retriever).

The probability that Aaron picks a retriever given Rebecka has picked a poodle is:

P(Aaron picks a retriever | Rebecka picks a poodle) = P(Rebecka picks a poodle and Aaron picks a retriever) / P(Rebecka picks a poodle)

Since Rebecka has already picked a poodle, we focus only on the event where Aaron picks a retriever. So the probability becomes:

P(Aaron picks a retriever | Rebecka picks a poodle) = Number of retrievers left / Total number of puppies left

= 4 retrievers / 11 total puppies

= 4/11

Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inches? Check all that apply.
-
A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.
A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

Answers

A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.

A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

the cross sections that are parallel and perpendicular will have the same measurements as the non-intersected sides. the last one will be a diagonal so the intersected edge is 6 and it creates a right triangle so it must be larger than 15 inches.


Answer:

A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.

A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

the cross sections that are parallel and perpendicular will have the same measurements as the non-intersected sides. the last one will be a diagonal so the intersected edge is 6 and it creates a right triangle so it must be larger than 15 inches.

Step-by-step explanation:

A. 3
B. 26
C. 36
D. 51

Answers

Hello!

The arcs in both angles A and D mean they are equal to each other

5y + 11 = 12y - 10

Now you solve it algebraically

Add 10 to both sides

5y + 21 = 12y

Subtract 5y from both sides

21 = 7y

Divide both sides by 7

3 = y

Put this into the equation for angle A
angle A = 5(3) + 11

Multiply

angle A = 15 + 11

Add

angle A = 26

The answer is 26°

Hope this helps!

A bowl contains 24 marbles consisting of 6 white marbles, 8 blue marbles, 7 black marbles, 3 red marbles. What is the probability of drawing a red marble?
a. 6/24B.5/25C.1/8D.7/8

Answers

The answer is C I think.

Tom ordered a jacket at $70, a shirt at $30, and slacks at $38. If sales tax is 6% and the shipping and handling is $10.75, what is the total amount of his order?

Question options:



$157.03



$146.28



$87.03



$55.95

Randy ordered 3 T-shirts for $25.67 each and one skirt for $23.55 and an 8% tax. What is the total cost of the order?

Question options:




$108.60



$77.01



$66.03



$100.56

Answers

For question 1, We need to calculate the total, find the tax, then add the shipping cost to the total. (70+30+38=138) now we find the tax (138*0.06=8.28) Now we add the tax and cost together and then the shipping and handling and we have our answer (138+8.28+10.75=157.03) So your answer is A.

For question 2, We need to calculate the total and then find the tax. So, we do this: 25.67*3=77.01. Then we add the skirt to the total (77.01+23.55=100.56). Finally, we calculate the tax cost (100.56*0.08=8.0448). So our total is (100.56+8.0448=108.6048) So the answer is A.

The total amount of his order is  $157.03.

The total amount of the order is the sum of the items  bought, the tax paid an the cost of shipping and handling .

Total cost of the order = cost of the items bought + tax paid + shipping and handling

Total cost of the items bought = cost of jacket + slacks + shirt

$70 + $30 + $38 = $138

Tax paid = 6% x $138 = $8.28

Shipping and handling = $10.75

Total cost = $138 + $8.28 + $10.75 = $157.03

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Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of α if α < β. sin(2x − 8) = cos(6x − 6)

Answers

we know that
in a right triangle
if sin A= cos B
then
angle A and angle B are complementary angles
so A+B=90

therefore

(2x-8)+(6x-6)=90-------> 8x-14=90----> 8x=104--------> x=13°

(2x-8)-----> 2*13-8----> 18°
(6x-6)-----> 6*13-6----> 72°
if α < β
then
 α =18°
 β=72°

Help with algebra 2 please!!!!!!!

Answers

On your graph, you're looking for the little tick between 0 and pi/2. It's at 1. This is your answer, the last option. 

What is the range of the function y= cot(x)?

A. all real numbers

B. all real numbers except pi/2 + n(pi), where n is any integer

C. all real numbers except n(pi)/2, where n is any integer

D. all real numbers except n(pi), where n is any integer

Answers

i believe its A, just all real numbers

Answer:

all real numbers

Step-by-step explanation:

Given : y = cot(x)

To Find: Range.

Solution:

Refer the attached graph.

The domain of the function   [tex]y=cot(x)=\frac{cos(x)}{sin(x)}[/tex]   is all real numbers except the values where sin(x) is equal to 0 , that is, the values πn for all integers n .  

The range of the function is all real numbers.

Referring the graph we can say that the range of the given function y = cot(x) is all real numbers .

Hence Option A is correct.

What is the axis of symmetry for f(x)=2x2+8x+8

Answers

2x^2 + 8x + 8 
= 2(x^2 + 4x) + 8
= 2 [ (x + 2)^2 - 4) + 8

axis  of symmetry is x = -2     ( because of the (x + 2)^2 )


Answer:  The axis of symmetry for the function f(x) is x = -2.

Step-by-step explanation:  We are given to find the axis of symmetry for the following function :

[tex]f(x)=2x^2+8x+8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that

for a function g(x) with the form [tex]g(x)=a(x-h)^2+k,[/tex] the axis of symmetry is given by the following equation :

[tex]x-h=0~~~~\Rightarrow x=h.[/tex]

Now, from equation (i), we have

[tex]f(x)=2x^2+8x+8\\\\\Rightarrow f(x)=2(x^2+4x+4)\\\\\Rightarrow f(x)=2(x+2)^2+0.[/tex]

Therefore, the required axis of symmetry is given by

[tex]x+2=0\\\\\Rightarrow x=-2.[/tex]

Thus, the axis of symmetry for the function f(x) is x = -2.

solve for A
R=x(A+B)

Answers

Use the distributive property
                                R=Ax+Bx
                               Ax=R - Bx
                                A =(R - Bx)/x
The answer is A =(R - Bx)/x
Final answer:

To solve the equation R=x(A+B) for A, divide both sides by x to get R/x = A+B. Then, subtract B from both sides to isolate A. The final equation is A = R/x - B.

Explanation:

The goal is to solve for A in the equation R=x(A+B). It's a simple problem of algebraic manipulation. Here's how to do it step by step:

First, divide both sides of the equation by x to isolate the term (A+B). This gives R/x = A+B.Next, subtract B from both sides of the newly formed equation to isolate A on one side. This gives us A = R/x - B.

And there you have it! The value of A in terms of R, x, and B is A = R/x - B.

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