12) Jim owns a small business.
The table shows information about the weekly wage of the 40 workers
Weekly wage (£)
320
370
420
470
520
Number of workers
10
13
8
7
2
Jim wants to increase the mean wage by 4%, plus £10
Jim thinks the new mean weekly wage of these workers will be more than £415
Is Jim correct?
(6)

Answer:

8 to the power of 4

Step-by-step explanation:

since their are four 8, (8x8x8x8) , you have to put that into an exponent

still need proof?

8x8x8x8=4096

8 to the power of 4 = 4096

so to conclude, 8 to the power of 4 is the same thing as saying 8x8x8x8, it is jsut the exponent version

Answer:

119.75mg

Step-by-step explanation:

Convert pounds to kg and then multiply by 10 and round to the nearest tenth

On factorizing 3y⁻⁴ + y⁻⁵ with the given factor y⁻⁵ we get y⁻⁵(3y + 1 ).

Factorization of the polynomial refers to the process of expressing the polynomial as a product of two or more factors.

For Example ; the factors of x²-16 can be written as (x+4)(x-4).

In the given question

(3y⁻⁴ + y⁻⁵)  

the common factor y⁻⁵ is given

we have to factorize using the common factor .

taking y⁻⁵ common from both the terms we get

= y⁻⁵(3y⁻⁴/y⁻⁵ + 1 )

=y⁻⁵(3y⁻⁴⁺⁵ + 1 )

=y⁻⁵(3y¹ + 1 )

=y⁻⁵(3y + 1 )

Therefore , On factorizing 3y⁻⁴ + y⁻⁵ with the given factor y⁻⁵ we get y⁻⁵(3y + 1 ).

Learn more about Factorization here https://brainly.com/question/28443498

#SPJ1

The equation will be F = 3x. Then the force required to compress the spring 8 ​inches will be 24 pounds.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A spring's length directly relates to the amount of force needed to compress it.

Let F be the force and x be the compressed length. Then the equation will be

F ∝ x

F = kx

If a force of 15 pounds is required to compress a certain spring 5 ​inches. Then the value of the variable k will be

15 = 5k

k = 15/5

k = 3 pounds per inch

Then the equation will be

F = 3x

The force required to compress the spring 8 ​inches will be

F = 3 (8)

F = 24 pounds

The force required to compress the spring 8 ​inches will be 24 pounds.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ1

Answer:

x'1 = -1

x'2 = 8

Step-by-step explanation:

Answer:

x = - 1, x = 8

Step-by-step explanation:

Given

x² - 7x - 8 = 0 ( add 8 to both sides )

x² - 7x = 8

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- [tex]\frac{7}{2}[/tex] )x + [tex]\frac{49}{4}[/tex] = 8 + [tex]\frac{49}{4}[/tex] = [tex]\frac{81}{4}[/tex]

(x - [tex]\frac{7}{2}[/tex] )² = [tex]\frac{81}{4}[/tex] ( take the square root of both sides )

x - [tex]\frac{7}{2}[/tex] = ± [tex]\sqrt{\frac{81}{4} }[/tex] = ± [tex]\frac{9}{2}[/tex] ( add [tex]\frac{7}{2}[/tex] to both sides )

x = [tex]\frac{7}{2}[/tex] ± [tex]\frac{9}{2}[/tex]

Thus

x = [tex]\frac{7}{2}[/tex] - [tex]\frac{9}{2}[/tex] =  [tex]\frac{-2}{2}[/tex] = - 1

x = [tex]\frac{7}{2}[/tex] + [tex]\frac{9}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8

Answer:

well, x= -4/11

Step-by-step explanation:

Answer:

2^4   * 9^4

Step-by-step explanation:

(2*9)^4

We can take the power to each term inside the parentheses

2^4   * 9^4

Answer:

For Canada = -0.3953

For Italy = 1.46511

For USA = -1.9069

Step-by-step explanation:

Given:

Mean μ = 29.4 days

Standard deviation σ = 8.6

Missing Data

For

Canada = 26 days

Italy = 42 days

USA = 13 days

Find:

Z scores

Computation:

Z scores = [X-μ]/σ

For Canada

Z scores = [26-29.4]/8.6

Z scores = -0.3953

For Italy

Z scores = [42-29.4]/8.6

Z scores = 1.46511

For USA

Z scores = [13-29.4]/8.6

Z scores = -1.9069

Answer:

34.5 ft squared

Step-by-step explanation:

Split the figure into a triangle and two rectangles. The two vertical lines on the figure already do that. The triangle's area is 3*3/2 because 8 - 3 - 2 = 3 is the base and the height is 3. Use b * h/2. The area of the smaller rectangle is 2 *3. The area of the larger rectangle is 8 * 3. Add the areas up: 4.5 + 6 + 24 = 34.5.

Answer: it is 20 students

Answer:

16 students

Step-by-step explanation:

4 students is 20% ,8 students is 40%, 12 students 80%, 16 students 100%

Answer:

The answer is A linear model is a good fit for data set b but not data set a

Step-by-step explanation:

It can be concluded that data set A is linear, and data set B is not linear.

        [Y] = a + b[X] + ɛ

Given is that residuals for data set A and data set B were calculated and plotted on separate residual plots.

If the residuals for data set [A] form a pattern and the residuals for data set [B] do not form a pattern than it can be concluded that data set A is linear, and data set B is not linear.

To solve more questions on regression line, visit the link below -

brainly.com/question/7656407

#SPJ2

Answer:

[tex]A) AA[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that\\\The\ Angles\ of\ \triangle 1,\ are\ 40, 100\\The\ Angles\ of\ \triangle 2\ are\ 40, 40\\The\ Hence,\\Through\ Angle\ Sum\ Property\ Of\ A\ Triangle, \\The\ Angles\ of\ \triangle 1,\ are\ 40, 100,40\\The\ Angles\ of\ \triangle 2\ are\ 40, 40,100\\\\As\ we\ can\ observe\ that\ all\ ANGLES\ of\ the\ triangles\ correspond, \\through\ AA\ Similarity\ Postulate. which\ states\ that\ if\ two\ triangles\ have\ two\\ or\ more\ corresponding\ angles,\ the\ triangles\ are[/tex]

[tex]SIMILAR[/tex]

Answer: Students 1 and 3

Step-by-step explanation:

student 1=

- (5r+3s-1)=

-5r+3s-1=

the same answer as student 3

The solution to the equation 1/2a + 2/3b = 50 when b = 30 is a = 60

The equation is given as

1/2a + 2/3b = 50

The value of b is given as

b = 30

So, we have

1/2a + 2/3 * 30 = 50

Evaluate the product

So, we have

1/2a + 20 = 50

Evaluate the like terms

So, we have

1/2a = 30

Multiply both sides by 2

a = 60

Hence, the solution to the equation 1/2a + 2/3b = 50 when b = 30 is a = 60

Read more about equations at

https://brainly.com/question/2972832

#SPJ1

Answer:

I believe it is c

Answer:

c is the correct answer

Answer:

(-19, 55)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = -3x - 2

5x + 2y = 15

Step 2: Solve for x

Substitution

Step 3: Solve for y

so 40 * 80 = 3,200

4 * 8 = 32

Then add the two 0's to the end

so 3,200

Answer:

The best way to solve 40x80 using mental math is to break down the problem.One example would be to solve 4x8 then add the two zeros to your answer to get 3200.

Step-by-step explanation:

Answer: it would be like this $40+1.50g=t

Step-by-step explanation:

Answer:

Yes it is

Step-by-step explanation:

Answer:

Cost is 7c+34.

Step-by-step explanation:

2(c+17) + 5c

=2c+34+5c

=7c+34

15%

Explaination according to zehtmnt who also answered this question by another person:

You have to do a proportion

12. = x

80 100 and u have to cross multiply

80x = 1200

80. 80

Answer:

what is on my mind

Step-by-step explanation:

there was 2 ppl answering before so i couldn't say this

Answer: 1063/500

Step-by-step explanation:

Answer: x=-1°

Step-by-step explanation:

m∠LMP=x°+73°     m∠PMN=81°+x°     m∠LMN=152°      x=?

m∠LMP+m∠PMN=m∠LMN

x°+73°+81°+x°=152°

2x°+154°=152°

2x°+154°-154°=152°-154°

2x°=-2°

Divide both parts of the equation by 2:

x°=-1°

The length of AB after dilation is 3/5cm.

The size by which the shape is enlarged or reduced is called as its scale factor.

Scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape.

It is used to increase or decrease the size of an object.

The scale factor can be calculated if the dimensions of the original figure and the dimensions of the dilated (increased or decreased) figure are known.

For example, a rectangle has a length of 5 units and a width of 2 units. Now, if we increase the size of this rectangle by a scale factor of 2, the sides will become 10 units and 4 units, respectively. Hence, we can use the scale factor to get the dimensions of the changed figures.

Given:

Length of AB = 3 cm

scale factor = 1/5

As, we know

scale factor = change in length / Actual length

1/5 = Change in length / 3

Change in length = 3/5

Hence, the length of AB after dilation is 3/5 cm

Learn more about scale factor here:

https://brainly.com/question/11381356

#SPJ1

Answer:

Therefore, the correct answer is 24,069,100.

Step-by-step explanation:

(6.91 x 10^4) = 6.91 x 10,000 (10 x 10 x 10 x 10) or 69,100.

(2.4 x 10^7) = 2.4 x 10,000,000 (10 x 10 x 10 x 10 x 10 x 10 x 10) or 24,000,000.

24,000,000 + 69,100 = 24,069,100

Therefore, the correct answer is 24,069,100.

Hope this helps! :D