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2 years ago

What is the simplified form of 5x-9x

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

3 0

Answer:

-4x

Step-by-step explanation:

5x - 9x

Factor out x

x( 5-9)

x ( -4)

-4x

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Mark tosses a coin 25 times. What is the probability that it lands on heads exactly seven times?

mezya [45]

Answer:

1.43%

Step-by-step explanation:

we have that we can solve it by means of binomial, in this case m = 25. Also the probability of head is 50%. we need to know when it falls 7 times, therefore x = 7

the formula is:

P (x) = mCx * p ^ x * q ^ (m-x)

we know that p is 0.5 therefore q is equal to 0.5, replacing:

P (7) = 25C7 * 0.5 ^ 7 * 0.5 ^ (25-7)

P (7) = 25! / (7! * (25-7)!) * 0.5 ^ 7 * 0.5 ^ (25-7)

P = 0.0143

that is, the probability is 1.43%

6 0

2 years ago

Evaluate the expression for the given value of the variable -4b-8 + -1 b^2 + 2b^3 ; b= -2

Bad White [126]

-4b-8 + -1b^2 +2b^3
-4(-2)-8+-1(-2)^2+2(-2)^3
8-8+2^2-4^3
4-64
60

4 0

3 years ago

Read 2 more answers

Find four consecutive even integers so that the sum of the first three is 2 more than twice the fourth

scoundrel [369]

Answer:

The numbers are : -20,-18,-16,-14

Step-by-step explanation:

Let 1st even integer be $=x$

So, next consecutive even integer would be $=x+2$

3rd consecutive even integer would be $=x+4$

4th consecutive even integer would be $=x+6$

Sum of first three integers would be $=x+x+2+x+4=3x+6$

It says sum of the first three is 2 more than twice the fourth,

So we have

$3x+6=2+4(x+6)$

using distribution to simplify.

$3x+6=2+(4\times x)+(4\times6)$

$3x+6=2+4x+24$

$3x+6=4x+26$

Subtracting $4x$ from both sides

$3x+6-4x=4x+26-4x$

$-x+6=26$

Subtracting 6 from both sides

$-x+6-6=26-6$

$-x=20$

∴ $x=-20$

So first integer =-20

2nd integer $=-20+2=-18$

3rd integer $=-18+2=-16$

4th integer $=-16+2=-14$

So, the numbers are : -20,-18,-16,-14

4 0

2 years ago

A line has a slope of 2 and passes through the point

Goryan [66]

Answer:

y = 2x + 11

Step-by-step explanation:

The point slope formula for a line is

y - y1 = m(x - x1)

We already have the slope, 2, and we can substitute the point (-4, 3) into (x1, y1):

y - 3 = 2(x + 4)

y - 3 = 2x + 8

y = 2x + 11

5 0

2 years ago

Describe a real-life multiplication situation for which an estimate makes sense.

IgorC [24]

Billy want to re-do his bathroom tiles. He finds out the length and width. Then he uses estimation to figure out how many tiles he needs to buy.

7 0

2 years ago