the mean mass of 6 boxes is 45kg. one of the boxes with a mass of 50kg is removed. calculate the new mean mass of the remaining boxes​

Answers

Answer 1

Answer: 6 boxes. average 45 each.

Step-by-step explanation:

Answer 2

The mean of a dataset if the average of the dataset.

The new mean mass of the remaining boxes is 44 kg

From the question, we have:

[tex]\mathbf{\bar x = 45}[/tex] --- mean of 6 boxes

The mean of a dataset is:

[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]

So, we have:

[tex]\mathbf{45 = \frac{\sum x}{6}}[/tex]

Multiply by 6

[tex]\mathbf{45 \times 6= \sum x}[/tex]

[tex]\mathbf{\sum x = 270}[/tex]

One of the boxes is 50 kg.

So, the mass of the remaining boxes is:

[tex]\mathbf{Mass = 270 - 50}[/tex]

[tex]\mathbf{Mass = 220}[/tex]

The mean of the remaining boxes is:

[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]

[tex]\mathbf{\bar x = \frac{220}{5}}[/tex]

[tex]\mathbf{\bar x = 44}[/tex]

Hence, the new mean mass of the remaining boxes is 44 kg

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Related Questions

Please HELPPP 9 mins left!!!

Answers

Answer: 8°

Step-by-step explanation:

57+90=147

147+4x+1= 180

147+1= 148

148+4x=180

180-148=32

32/4=8

x=8°

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

B

Step-by-step explanation:

Realised I could stilll answer so i did, from what I can tell its b

Gina Needs To Pack 130 Pens, 50 Pencils And 20 Erasers Into Identical Gift Bags So That Each Item Is Equally Distributed Among The Gift Bags. (I) Find The Largest Number Of Gift Bags That Can Be Packed. (Ii) Find The Number Of Each Item In A Gift Bag.

Answers

Answer:

Step-by-step explanation:

I think the best way is to split up the erasers before you do anything. That would mean there were 20 gift bags in all

If you did that, then each gift bag would contain 2 pencils with 10 left over.

Further 130 pens would divide up into 6 pens in each gift bag with 10 pens left over.

Find the value of x
3x + 40
5x - 45

Answers

3x + 40 = 5x - 45

2x = 85

x = 42.5

Answer:

<HOPE IT WILL HELP YOU >

Step-by-step explanation:

3x + 40

3x+40=0

3x= -- 40

x= -- 40/3

5x--45

5x--45=0

5x= 45

x =45/5

x = 9

Question 5 of 5
Evaluate -(5-4)(52)
A.-1/25
B. 25
C. -25
D. 1/25

Answers

Answer:

it should be negative 52 so i would go with C

Step-by-step explanation: it is the closest to the answer

Necesito la gráfica lineal de esto porfa

Y= 3x -2

Answers

Answer:

La respuesta es x=2/3

Step-by-step explanation:

Remplasa Y por un 0. Y luego conviertelo en -3x=2. A ultimo divide lod dos adas por -3. Tu respuesta es x=2/3

If the sales tax rate is 7% in New York, then how much sales tax would you pay in New York for a $34 pair of
pants?

Please I need help fast

Answers

Answer:

you would pay 2.38 sales tax for a 34 dollar pair of pants

Step-by-step explanation:

Solve x2 = −169. Thank youuuuuuuuuuu

Answers

Answer:

x=-84.5

Step-by-step explanation:

Levi bought 14 chicken wings for $22.40 how much would it cost for 12 wings

Answers

Answer:

x =19.20

Step-by-step explanation:

We can use ratios to solve

14 wings      12 wings

------------- = ---------------

22.40          x

Using cross products

14x = 22.40 * 12

14x =268.8

Divide each side by 14

14x/14 = 268.8/14

x =19.20

HELP!! 20 POINTS

What type(s) of symmetry does this figure have?

rotational symmetry only

point symmetry only

no symmetry

both point and rotational symmetry

Answers

Answer:

rotational symmetry only

Rotational symmetry only, it looks like the original shape 3 times when rotated 360 degrees

Hey, can you please help me with this? thanks btw :)

Answers

28.27 is the area of the circle with a diameter of 6

Answer:

Step-by-step explanation:

Area of Circle: πr²

Diameter = radius * 2

Diameter = 3 * 2 = 6

Plug into the formula πr²

(3)²π ≈ 28.274 or 9π

Zahmiere and Brayden are playing basketball. Yesterday, Zahmiere made 3 shots in 5 attempts, while Brayden made 4 shots in 6 attempts. If they continue at those rates, who will make more shots in 30 attempts? Plsss answer fast!!!!! Plssssss

Answers

Answer:

i think the answer would be Brayden

Step-by-step explanation:

5 × 100 + 4 × 10 + 2 + ( 3 × 1⁄10 ) + ( 6 × 1⁄100 ) + ( 9 × 1⁄1000 ) Write as a numeral

Answers

Answer:

542.369

Step-by-step explanation:

Its the steps of writing it this is super easy also you can do the math to check if you want

Which of the following is a rational number?
v1, v2, v3, v5

Answers

Answer:

5

Step-by-step explanation:

Simplify the following to an expression involving a single
trig function with no fractions.

Answers

Answer    

Step-by-step explanation:

cos x

PLEASE ANSWER THE QUESTION CORRECTLY!!!!!!!!!!!!

Answers

Answer: -2,2

Step-by-step explanation:

I REALLY NEED HELPPPPP!! Write a paragraph proof for the following conjecture:

Given: m∠ 1 + m∠ 2 = m∠ 4

Prove: m∠3 + m∠1 + m∠2 = 180

Answers

Answer:

Given: measure 1 + measure 2 = measure 4

measure 4 + measure 3 must be 180 degrees because they are supplementary

If measure 4 + measure 3 is 180, and measure 1 + measure 2 = measure 4, we can substitute measure 4 in the first equation for measure 1 + measure 2.

Therefore, we arrive at the answer measure 1 + measure 2 + measure 3 = 180.

I really hoped this helped, and if it did, please consider giving me brainliest.

HAVING BAD DAY HELP

Suppose Karen reads 50 pages per day during the week, but then reads 1.5 times as many pages on Saturday and Sunday. How many pages total will Karen read on Saturday and Sunday?

Answers

Answer:

150 total pages read over the weekend, 75 for Saturday and 75 for Sunday.

Step-by-step explanation:

50×1.5=75

75+75=150

Answer:

Step-by-step explanation:

50 pages, 1.5 times as many

multiply:

50 x 1.5 = 75

If by "1.5 times as many on satuday and sunday" is including both days and not separately it will be 75 pages on saturday and sunday together..

If it says that she read 1.5 times as many on Saturday and 1.5 times as many on sunday, It will be 75 on saturday and 75 on sunday which is 150 pages.

I hope this wasn't confusing, I'm not sure on the wording of the question a bit, but I gave both possible answers.

Which of the following tables of values represent ordered pairs for the function f(x) = 2x – 1?
PLEASE HURRY 10 POINTS

A.
x 3 6 9 12
f(x) 6 12 18 24
B.
x 2 4 6 8
f(x) 5 9 13 17
C.
x 1 2 3 4
f(x) 1 3 13 17
D.
x 0 4 8 12
f(x) -1 7 15 23

Answers

Answer:

D

Step-by-step explanation:

x 0,4,8,12

f(x)‒1,7,15,23

we can prove as the following

f(x)=2x‒1

‒1=2(0)‒1

‒1=0‒1

‒1=‒1

f(x)=2x‒1

7=2(4)‒1

7=8‒1

7=7

f(x)=2x‒1

15=2(8)‒1

15=16‒1

15=15

f(x)=2x‒1

23=2(12)‒1

23=24‒1

23=23

i wish it helps you

Which equation represents the line that passes through the points (–4, 3) and (2, –12)?

–9x + 2y = 42

x + 2y = 2

5x + 2y = –14

2x + 5y = 7

Answers

Answer:

5x + 2y = –14

Step-by-step explanation:

Graph the points and find the equation from there.

Answer:

the answer is 5x + 2y = –14 their right

Step-by-step explanation:

x>-4
Examine the inequality and its graph.
6 5 4 -3 -2 -1 0 1 2
Which values are part of the solution set? Check all
that apply.
O x= 3
x= -5
OX=--
1
2
x= -4.5
x= -4

Answers

Answer:

A and C

Step-by-step explanation:

did assignment on edge

UGENT PLZ HELP FAST​

Answers

The correct answer is A and D!

can someone help with that?

if x+y=2, calculate:
P=4x (x-3)+4y(y-3)+8xy​

Answers

Answer:

Step-by-step explanation:

P = 4x(x - 3) + 4y(y - 3) + 8xy

  = 4x² - 12x + 4y² - 12y + 8xy

  = (4x² + 8xy + 4y²) - (12x + 12y)

 = 4(x² + 2xy + y²) - 12(x + y)

 = 4(x + y)² - 12(x + y)

x+y =2 ⇒ P = 4.2² - 12.2 = 16 - 24 = -8

X+5x-3x-4 simplified?

Answers

Answer:

3x-4

How to find it:

x + 5x - 3x - 4

Add like terms

6x - 3x - 4

Add like terms

3x - 4

Answer:

3x-4

Step-by-step explanation:

Combine like terms, x + 5x gives you 6x but then subtract 3x and you have only 3x.

Keep 4 the same and your answer is 3x-4

Mark brainliest if possible!

5/6 - 1/3 divided by 5/12

Answers

Answer:

1/30

Step-by-step explanation:

1-Intercambiamos los numeros de la ultima fraccion:

5/6 - 1/3 entre 5/12

2-intercambiamos posision, numeros y cambiamos el signo de resta a signo de multiplicacion:

1/3 x  12/5: 4/5

3-convertimos la operación en enteros (despues de aver hecho mas pasos)

25-24/30

4-restamos: 25 - 24=1

1/30

que espero te haya ser de mucha ayuda!!!

PLEASE ANSWER ASAP !!!!

Answers

At h=1 y=-2 so -2 hope it helps!

What is the value of d that makes lines e and f parallel?
D=
10
13
85
115

Answers

Answer:

d = 13

Step-by-step explanation:

For the lines to be parallel, then

5(2d - 3) and (6d + 11 + 2d) will be corresponding angles and congruent, thus

5(2d - 3) = 6d + 11 + 2d ← distribute left side

10d - 15 = 8d + 11 ( subtract 8d from both sides )

2d - 15 = 11 ( add 15 to both sides )

2d = 26 ( divide both sides by 2 )

d = 13

The value of d that makes lines e and f parallel is 13units.

It is required to find the value of d.

What is line?

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

For the lines to be parallel, then

5(2d - 3) and (6d + 11 + 2d) will be corresponding angles and congruent.

According to given question we have,

5(2d - 3) = 6d + 11 + 2d

Distribute left side we get,

10d - 15 = 8d + 11  

subtract 8d from both sides we get,

2d - 15 = 11  

Add 15 to both sides  we get,

2d = 26

Divide both sides by 2 we get,

d = 13units.

Therefore, the value of d that makes lines e and f parallel is 13units.

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Surveyors wished to know the distance across a lake between A and B. They measured the distance from B to C as 100 m and the angle from C to A to be 55°. Knowing that the angle between CB and BA was 90°, they used trig to solve for the distance. Show how it was done

Answers

Answer:

AB ≈ 70m

Step-by-step explanation:

Check the attachment for the diagram.

You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;

tan 35° = opposite/adjacent

tan 35° = AB/BC

tan 35° = AB/100

AB = 100tan35°

AB = 100 * 0.7002

AB = 70.02m

Hence the distance across a lake between A and B is approximately 70m

Find the value of x.
Area of rectangle = 36
▅ х
x + 5

Answers

The value of x is 4, which is determined by the quadratic equation.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The rectangle of a rectangle = L × W

Where W is the width of the rectangle  and L is the length of the rectangle

We have been given that area of the rectangle = 36

Area of rectangle = width of the rectangle × length of the rectangle

Here the width of the rectangle = x

And length of the rectangle = x + 5

The rectangle of a rectangle = x × (x + 5)

36 = x² + 5x

x² + 5x - 36 = 0

x² + 9x - 4x - 36 = 0

(x + 9)(x - 4) = 0

x = -9 and x = 4

Take the value of x = 4 and the negative value is neglected because the dimension can't be negative.

Therefore, the value of x is 4.

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Which of the following statements BEST proves that ∠XWY ≌ ∠ZYW?

A.
If two parallel lines are cut by a transversal, then corresponding angles are congruent.

B.
If two parallel lines are cut by a transversal, then complementary angles are congruent.

C.
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

D.
If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.

Answers

Answer: C

Step-by-step explanation:

The pair of angles created on the inner side of the parallel lines intersected by a transversal but on opposing sides of the transversal is known as an alternative interior angle. The correct option is C.

What are Alternate Interior angles?

When two parallel lines are intersected by a transversal, the pair of angles created on the inner side of the parallel lines but on opposing sides of the transversal is known as an alternative interior angle. These angles are always equal in measure.

The best statements BEST that proves ∠XWY ≌ ∠ZYW is that If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

Hence, the correct option is C.

The complete question is mentioned in the image below.

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