Find the value of x such that the data set has the given mean.

102, 119, 107, 114, 110, x; mean 118

Answers

Answer 1

Answer:

a

Step-by-step explanation:

Answer 2

Answer:

[see below]

Step-by-step explanation:

[tex]\frac{(102+119+107+114+110+x)}{6} =118\\\\6*(\frac{(102+119+107+114+110+x)}{6}) =118*6\\\\x+552=708\\\\x+552-552=708-552\\\\\boxed{x=156}[/tex]

Hope this helps.


Related Questions

On a number line, what is the distance between -5 and
72

Answers

The answer is 22. Hope this helps

Consider the expression 16 - 4 × 3 + 7. Use parentheses to rewrite the
expression so that it equals 11.

Answers

Answer:

16 - (4 × 3) + 7

Step-by-step explanation:

Need help with this question!!

Answers

x^2 = 2 × ( 2 + 4 )

x^2 = 2 × 6

x^2 = 12

x = √12

x = √4 × 3

x = 2√3

Answer:

x = 4

Step-by-step explanation:

Assume the dimension 4 is a diameter, and x is a tangent to the circle.

Use the tangent/secant formula to find

x*x = 2*(2+4)

x^2 = 16

x = 4

1,367.5897 to the nearest whole

Answers

Answer:

1368

hope this helps

have a good day :)

Step-by-step explanation:

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

No it's not compulsory.

Step-by-step explanation:

If the ratio of sides are given then that can also help you find angle. Not only that if the relationship between the perpendicular and base are given then you can find angle

E.g.

if the ratios of the sides is 5:4:3 then you can find the angle

please. i am hanging on by a thread.

Answers

Answer:

x=6

Step-by-step explanation:

9(10)=15(×)

90=15×

90÷15=6

solving equations

x+4=24

Answers

Answer:

x = 20

Step-by-step explanation:

x + 4= 24

Subtract 4 rom both sides

x = 20

Answer:

Your answer is

x=20

Step-by-step explanation:

x=24 -4

can someone help i’m confused

Answers

PN = LO

__________________________

(LO)^2 = (LN)^2 + (NO)^2

(LO)^2 = 6^2 + 8^2

(LO)^2 = 36 + 84

(LO)^2 = 100

LO = √100

LO = 10

__________________________

Thus :

PN = 10

Step-by-step explanation:

So, we can assume that LN and PO are equal in length and NO and LP are equal in length as well.  LO and PN are also equal.

We can see that PN is the hypotenus of either triangle NLP or NOP.  LO is the hypotenuse of LOP and LON, so those could be used to find the length as well.  I rather work with NOP, but any work.

We know that NO is 8 units long and LN is 6 units long.  Because LN = PO, PO = 6 units.

So, using the pythagorean theorem, the hypotenuse is:

8^2 + 6^2 = c^2

64 + 32 =c^2

sqrt(96)=c

c~9.8

I don't know how exact they want your answer.

c = 9.79795897113

Find the volume of the frustrum of the right circular cone generated by rotating the line y = 3x+1 about the x-axis between x = 0 and x = 2.

Answers

Answer:

38π cubic units

Step-by-step explanation:

The volume V = ∫₀²πy²dx  

Since y = 3x + 1, dy = 3dx ⇒ dx = dy/3

So, when x = 0, y = 3(0) + 1 = 0 + 1 = 1

when x = 2, y = 3(2) + 1 = 6 + 1 = 7

So, changing the variable to y and the limits of integration from y = 1 to y = 7, we have

V = ∫₀²πy²dx

V = π∫₁⁷y²dy/3

V = π[y³/3]₁⁷/3

V = π[y³]₁⁷/9

V = [7³ - 1³]π/9

V = [343 - 1]π/9

V = 342π/9

V = 38π cubic units

THIS IS DUE TOMORROW MORNING!!! Find the slope and and y-intercept of the line 2x + 6y = -12​

Answers

Answer:

Slope: -1/3

y intercept: (0, -2)

Julio solicitó un préstamo en el banco para invertir en su casa, pagó una cuota de $32,950 y otra de $25,825. Si el préstamo fue de $100.000. Cuánto dinero le debe al banco??

Answers

Answer:

Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.

Step-by-step explanation:

Dada la falta de información, asumimos que el préstamo fue realizado sin tasa de interés, de modo que la deuda solo sea el monto inicial menos las cuotas pagadas por quien recibe el préstamo, la cantidad de dinero que adeuda al banco es:

[tex]x = \$\,100000 - \$\,32950 - \$\,25825[/tex]

[tex]x = \$ \,41225[/tex]

Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.

Gavin needs to fill the fish tank below with water. The directions state that the water level should be 2 inches below the top of the tank. Write an expression to show the volume of water Gavin needs to fill the tank according to the directions.

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete; So, I will solve the question generally.

Assume the following;

[tex]l \to length[/tex]

[tex]w \to width[/tex]

[tex]h \to height[/tex]

Since the water level must be 2 inches below the tank height, the water height is:

[tex]H \to h - 2[/tex]

So, the water volume is:

[tex]Volume = l * w * H[/tex]

[tex]Volume = l * w * (h - 2)[/tex]

Hence, the expression is:

[tex]Volume = l * w * (h - 2)[/tex]

Assume that:

[tex]l = 5; w = 10; h = 8[/tex]

The volume becomes:

[tex]Volume = 5 * 10 * (8 - 2)[/tex]

[tex]Volume = 5 * 10 * 6[/tex]

[tex]Volume = 300[/tex] cubic units

what is the algebraic equation of the product of twenty and five minus seventy-eight is n?

a. (20-5)-78
b. (20+5)+78
c. (20×5)+78
d. (20×5)-78​

Answers

Answer:

d

Step-by-step explanation:

Find the circumference of the given circle given a diameter of 40 cm.
Use 3.14 as an approximation of Pi.

Answers

Answer:

c. 125.6

Step-by-step explanation:

Pi= 3.14

r= d/2 = 40/2 = 20

[tex]2\pi \: r[/tex]

= 2 × 3.14 × 20

=125.6

Which of the following best describes a basic postulate of Euclidean
geometry?
O A. A circle measures 360°.
B. A circle can be drawn with any center and radius.
C. All lines continue indefinitely
D. All isosceles right triangles are similar.

Answers

B. A circle can be drawn with any centre and radius

A radio station broadcasts a signal over an area with a 120-mile diameter. The population density of the area is 100 people per square mile.

How many people are within receiving distance of the broadcast signal?

Use 3.14 for pi.

Answers

Answer:

1,130,400 people

Step-by-step explanation:

Find the area of the broadcasting area, using the circle area formula.

Since the diameter is 120 miles, the radius will be 60 miles.

Use the circle area formula, plug in 60 as r, and plug in 3.14 as pi:

A = [tex]\pi[/tex]r²

A = (3.14)(60²)

A = 11304

So, the area is 11304 square miles

To find how many people are in receiving distance, multiply this by 100, since there are 100 people per square mile.

11304(100)

= 1,130,400

So, 1,130,400 people are within receiving distance of the signal.

Answer:

1,130,400

Step-by-step explanation:

Need help worth 20 points

Answers

Answer:

I believe it's 17.202

Step-by-step explanation:

first Lets add the number of people at the age of 50 and over who have done highschool only and some college.

1942+1057= 2999

then multiply that by 100 divided by the total:total

2999*100/17434=17.20201904

answer 17.202

I would still check though cause i'm not sure if this is correct

what percent of 45 is 27?

Answers

Answer:

60

hope this helps

have a good day :)

Step-by-step explanation:

Raina bought three books at a bookstore. Here are their prices (in dollars). 18.8, 4, 9.38 What is the total amount Raina paid at the bookstore?

Answers

Answer:

$32.18

Step-by-step explanation:

It's really just addition. No explanation necessary.

Given the vertices of a triangle ABC below, find the midpoint and length of the midsegment. Give your length in simplified radical form.

Answers

Answer:

Midpoint of AC = (-1, 1)

Midpoint of BC = (1, -2)

Length of the midsegment = [tex]\sqrt{13}[/tex]

Step-by-step explanation:

Vertices of a triangle ABC are A(0, 5), B(4, -1) and C(-2, -3).

Midpoint of segment AC = [tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

                                         = [tex](\frac{0-2}{2},\frac{5-3}{2})[/tex]

                                         = (-1, 1)

Midpoint of BC = [tex](\frac{4-2}{2},\frac{-1-3}{2})[/tex]

                         = [tex](1,-2)[/tex]

Length of the mid segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                                              = [tex]\sqrt{(-1-1)^2+(-2-1)^2}[/tex]

                                              = [tex]\sqrt{4+9}[/tex]

                                              = [tex]\sqrt{13}[/tex]

In a football game, a running back had 5 carries where he gained 12 yards each time and 3 carries where he lost 6 yards each time. how many total yards did the running back have during the game?

Answers

Answer:

I think the answer is 26

Step-by-step explanation:

In the question it said how many it total so 5 + 12 + 3 + 6 = 26

I hoped this helped!

Sorry if I'm wrong

Professor Turner wrote the expression below on the chalkboard for his team at the Research Center. He asked the scientists there to write an equivalent expression that eliminated the parentheses.

Answers

Answer:

12x + 18y + 6z + 4x - 4z

Step-by-step explanation:

Given the expression : 3(4x + 6y + 2z) + 4(x – z)

To eliminate the parenthesis ; we use the distributive property :

3(4x + 6y + 2z) + 4(x – z) becomes ;

3*4x + 3*6y + 3*2z + 4*x + 4*-z

12x + 18y + 6z + 4x - 4z

Hence,

12x + 4x + 18y + 6z - 4z

16x + 18y + 2z

Arrange the expressions in increasing order of their values.

Answers

Answer:

The 4th one is the least so you would put that as the first one, then the 2nd one, then the 1st one, then the 3rd one.

Step-by-step explanation:

The fourth one is first because 10 to the power of 0 is 0 times 10 to the power of 1 is still 0 minus 1 to the power of 10 is 1 so 0 minus 1 is -1. The second one is second because 10 to the power of 0 times 10 to the power of 1 is 0, times 1 to the power of 10 is still 0. The first one is third in line because 10 to the power of 0 plus 10 to the power of 1 is 10 times 1 to the power of 10 is 10. The third one is last because its the greatist, 10 to the power of 0 plus 10 to the power of 1 is 10 plus 1 to the power of 10 is 11.

Someone please help me ?!?!?

Answers

Answer:

2nd is correct

Step-by-step explanation:

ok now mark me brainlist

Pls help

What are the coordinates of the vertex of the parabola y = 2(x + 2)?

Enter your answer as an ordered pair, like this: (42, 53)

Answers

Answer:

vertex is (-2,0)

Step-by-step explanation:

Jenny and Kath hire the canal boat for 14 days. They share the hire cost of £1785.00 in the ratio 2:3. Work out the smaller share.

Answers

Answer:

£714.00

Step-by-step explanation:

The first step is to set up expresssions for the two shares:

Let  x = the amount of one share.  The other share is 1785 - x.  You don't have to worry about which is smaller--that part will work out automatically!

The two shares are in the ratio of 2:3, so set up the proportion

[tex]\frac{x}{1785-x}=\frac{2}{3}[/tex]

Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.

Solve the proportion for  x  by "cross multiplying" -- use the Means-Extremes Property of proportions.

[tex](3)(x)=(2)(1785-x)\\3x=3570-2x\\5x=3570\\x=714[/tex]

So one share is £714£ and the other is £1785 - £714 = £1071.

The smaller share is £714.

Not too hard! Would appreciate help

Answers

Answer:

1,3

Step-by-step explanation:

Which set of side lengths forms a right triangle? 2 3 13, 4 6 10, 9 12 18, 15 36 39 ,
plz hurry timed edge2021

Answers

Answer:

15, 36, 39

Step-by-step explanation:

when these are squared they add up to 39 squared following the Pythagorean theorem

hey i’ll give brainliest please help

Answers

Answer: B

Step-by-step explanation:

Answer:

We could not survive, without natural resourses we would die.

Step-by-step explanation:

Please help me im confused with this​

Answers

Answer:

B. 33 cm^3

Step-by-step explanation:

Volume = 4/3 πr^3

4/3 times 3.14 times 2cm^3

Answer:

33.51 cm³  (closest to Answer B)

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)πr³.

With r = 2 cm, the volume is

V = (4/3)π(2 cm)³ = 33.51 cm³  (closest to Answer B)

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