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2 years ago

Factorise the following

Mathematics

1 answer:

andreyandreev [35.5K]2 years ago

7 0

Answer:

Below.

Step-by-step explanation:

a) 5x-x² = x(5 - x).

b) x²-6x-27 = (x - 9)(x + 3).

c) x²+x-56 = (x - 7)(x + 8).

d) x³+8 = (x + 2)(x^2 - 2x + 4)

e) 3x⁴-54t = 3(x^4 - 18t)

f) x²+3x-10 = (x - 2)(x + 5)

g) 2(x⁴+x³-12x²) = 2x^2(x + 4)(x - 3)

h) 20(x³-1) = 20(x - 1)(x^2 + x + 1)

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A medical website states that 40% of U.S. adults are registered organ donors. A researcher believes that the proportion is too h

Marat540 [252]

Answer:

P value is 0.1932

conclusion is that find value P greater than hypothesis test at the 0.05 level

Step-by-step explanation:

Given data

registered organ donors P = 40%

sample n = 200

registered organ donors x = 74

hypothesis test α = 0.05

to find out

P-value and state a conclusion

solution

we take a trail p less than 40 % i.e 0.40

so p = x/n

p = 74 / 200 = 0.37

so we find here Z value i.e

Z = p - P / √(PQ/n)

here Q = 1-p = 1-0.40 = 0.60

so Z = 0.37 - 0.40 / √(0.40×0.60/200)

Z = - 0.866

so p value for Z (-0.866) from z table

P value is 0.1932

and conclusion is that find value P greater than hypothesis test at the 0.05 level

6 0

2 years ago

Read 2 more answers

What is the answer to this ? PLEASE HELP I HAVE 3 minutes

inn [45]

Answer:

(2, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x

x = -y + 6

Step 2: Solve for y

Substitution

Substitute in x: y = 2(-y + 6)
Distribute 2: y = -2y + 12
Isolate y terms: 3y = 12
Isolate y: y = 4

Step 3: Solve for x

Define equation: x = -y + 6
Substitute in y: x = -4 + 6
Add: x = 2

3 0

2 years ago

Hi so could anyone please tell me how to solve this I’ve tried looking through my notes but I can’t find a question similar to t

neonofarm [45]

Answer:

no solution

Step-by-step explanation:

There are no values of x that make the equation true.

6 0

3 years ago

Use the picture to help you answer theese questions.

kobusy [5.1K]

Answer: 70

Step-by-step explanation:

I think

8 0

3 years ago

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10% of what number is 78?

Zepler [3.9K]

Answer: x = 780

Step-by-step explanation: Well percent means over 100 so we can set up an equation for this problem by reading it from left to right.

So we know that 10% means 10/100, of means times, what number means x, is means equals, and 12 means 12.

Notice that 10/100 can be reduced to 1/10.

So rewriting our problem we have X/10 = 78.

To get rid of the fraction, we multiply both sides of the equation by 10 and we have x = 780. So, 10% of 780 is 78.

Now let's check our answer back in the original problem to see if it makes sense.

We have 10% of 780 is 78. Well we know that 100% of of 780 would be 780 so 10% of 780 should be alot less than 780 so 78 seems to make sense.

Image provided showing my work.

5 0

2 years ago

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