a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answer:

p = -30 + 20

Hope this helps!

Answer:

you got the answer right there

Step-by-step explanation:

Answer:

-14/25

Step-by-step explanation:

7x +2 / 2 - 5x = -2 / 5

First you can cross multiply (shown in the picture):

Next, expand the brackets:

5(7x + 2) = -2(2 - 5x) → 35x + 10 = -4 + 10x

Now, simplify:

35x + 10 = -4 + 10x → 35x - 10x = -4 - 10 → 25x = -14 → x = -14/25

Hope this helps!

Answer:

look at the picture i have sent

Answer:

B. 18/48 and 21/56

C. 20/28 and 15/18

Step-by-step explanation:

Simplifying 18/48 = 3/8

Simplifying 21/56 = 3/8

Simplifying 20/ 28= 5/7

Simplifying 15/18 = 5/7

Answer:

18/48 and 21/56

Step-by-step explanation:

plato

Answer\

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Answer:

27 x^( 6 )y^( 9)

Step-by-step explanation:

Without human intervention, by 2050 there will be 26,786,354 Burmese Pythons in the United States.

Given that it is proposed that the Burmese Python is increasing its population at a rate of 1.15 year by year, and that it is estimated that by 2010 there were 100,000 of these in the United States, to estimate how many there will be by 2050 the following calculation should be done:

Therefore, without human intervention, by 2050 there will be 26,786,354 Burmese Pythons in the United States.

Learn more in https://brainly.com/question/15625553

Answer:

98

Step-by-step explanation:

Answer:

A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any missing part of the triangle. The ratio of the side lengths of a special right triangle with angles of 30, 60, 90 is 1:sqrt(3):2, while the ratio of the side lengths of a special right triangle with angles of 45, 45, 90 is 1:1:sqrt(2).

Answer:2 hours 15 mins = 2 1/4 hours

2 1/4 hours = 25 miles

1 hour = 25 ÷ 2 1/4 = 25 ÷ 9/4 = 25 x 4/9 = 11.1 miles

Answer: 11.1 mph

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

[tex]x/4 + 8 = 2\\x/4 = 2 - 8\\x/4 = -6\\x = -6 *4\\x = -24[/tex]

Step-by-step explanation:

here u go.

hope it helps you

Answer:

-10

Step-by-step explanation:

5ab-4bc+8ab+9=

1) 5ab+8ab=13ab

2) 13ab-4bc=b(13a-4c)

3) b(13a-4c)+9= (-1)( 13×3-4×5)+9= -19+9= -10

Answer:

Option 1

Step-by-step explanation:

Answer:

They both have the same y intercept

Step-by-step explanation:

(1,0)(0,3)

(0,3)(1,-1)

Answer:

[tex] {x}^{3} + {x}^{2} y + 3xy - 2x {y}^{2} + 6 {y}^{2} [/tex]

For the expression 7 - i ohms, the conjugate will be 7 + i ohms (the sign was changed from negative to positive)

The impedance of the circuit is written in form of a complex number.

The standard representation of a complex number is expressed as a + ib where:

a is the real part

ib is the imaginary part

The conjugate of the complex number a + ib will be a - ib. Note that the signs of the expression were changed from addition to subtraction.

Similarly for the expression 7 - i ohms, the conjugate will be 7 + iohms (the sign was chaged from negative to positive)

Learn more here: https://brainly.com/question/18392150

Using Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto H^2=5^2+12^2[/tex]

[tex]\\ \sf\longmapsto H^2=25+144[/tex]

[tex]\\ \sf\longmapsto H^2=169[/tex]

[tex]\\ \sf\longmapsto H=13[/tex]

Answer:

3

Step-by-step explanation:

5-(2*8)+14=

Parentheses first

5-16+14=

Then add and subtract from left to right

-11 +14

3

Answer:

A. -4 feet per minute (FPM)

B. -24 feet below sea level.

Step-by-step explanation:

Answer:

Step-by-step explanation:

104         x

----      =  ---

50          60

Cross multiply 104 by 60. 6240 is your answer.

Your new equation is 6240 = 50x.

Divide both sides by 50. 6240/50 = x

x = 124.8 mph (miles in one hour)

Answer:

35

Step-by-step explanation:

if you multiply all of the numbers in the first boxes by five, those numbers would be correct. So if you multiply 7 by 5, your answer would be 35

Step-by-step explanation:

they are not like variables and terms so u cant add them nor subtract term soit stays as it is

The probability of randomly selecting an insect is 2/15.

It is a measure of happening or non happening of the outcomes of a random experiment.

P(E) = number of favorable outcomes/Total number of outcomes

Where, P(E) is the probability of any event.

Let E be an event of selecting an insect.

According to the given question

We have

Total number of insects = 10

Total number of trees = 8

Total number of flowers = 8

Total number of birds = 4

Now, the total number of outcomes = 10 + 8 + 8 + 4 = 30

Total number of favorable outcomes = 4

Therefore,

The probability of selecting an insect = [tex]\frac{4}{30} =\frac{2}{15}[/tex]

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

Answer:

7) 3x=45( corresponding angles formed on parallel lines)

x=45/3

x=15

8)120=2x+10(corresponding angles formed on parallel lines)

or,120-10=2x

or,110/2=x

or,x=55

Step-by-step explanation:

[tex]\sqrt{18} = 3\sqrt{2}[/tex]

[tex]\sqrt{50}=5\sqrt{2}[/tex]

[tex]2\sqrt{8} = 4\sqrt{2}[/tex]

So [tex]3\sqrt{2} +5\sqrt{2} -4\sqrt{2}[/tex]

= [tex]4\sqrt{2}[/tex]

Please give me a brainliest answer

Notice that

4/9 = 2²/3² = (2/3)²

so that

(2/3)³ (4/9)⁴ = (2/3)³ ((2/3)²)⁴

… = (2/3)³ (2/3)⁸

… = (2/3)¹¹

Answer:

Base

Step-by-step explanation:

A power is the product of multiplying a number by itself. Usually, a power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied.

Answer:

315.89

Step-by-step explanation