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3 years ago

What is the binomial expansion of (m + 2)4?

Mathematics

1 answer:

ankoles [38]3 years ago

4 0

Answer:

m+2

Step-by-step explanation:

use the binomial expansion theorem to find and simplify each term

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A motorboat averages 20 miles per hour (mph) in still water. It takes the boat the same amount of time to travel 3 miles with th

bearhunter [10]

Answer:

4 mph

Step-by-step explanation:

Let :

Boat speed = 20 mph

speed of current = x mph

Distance against current = 2 miles

Distance with current = 3 miles

speed against current will be ; 20 - x

speed with current will be ; 20 + x

Time =distance / speed against time against = time with current

Solving Mathematically ;

2/(20-x )=3/(20 +x)

2(20+x )= 3( 20-x )

40+2x = 60-3x

3x +2x=20

5x=20

x = 20 / 5

x = 4 mph

Speed of current = 4 mph

8 0

3 years ago

The diameter of bushings turned out by a manufacturing process is a normally distributed random variable with a mean of 4.035 mm

Andrew [12]

A) the z score for 95% is 1.96

Multiply by the deviation:

1.96 x 0.005 = 0.0098

Now add and then subtract that from the mean:

4.035 - 0.0098 = 4.0252

4.035 + 0.0098 = 4.0448

The interval is (4.0252, 4.0448)

B) 4.035 +/- 1.96 x sqrt( 0.005/sqrt(25))

= 4.035 +/-0.00196

Answer: ( 4.033, 4.037)

C) the conclusion is that both 4.020 and 4.055 are out of the range.

4.020 is below the lowest range and 5.055 is higher than highest range.

6 0

3 years ago

A cube has a side length A. The side lengths ate decreased by 20%. Write an expression in simplest form.

vazorg [7]

The answer is: A-(20%)A

5 0

2 years ago

Read 2 more answers

Multiply. -8. -9/3 . 2/-5Write your answer in simplest form.

oee [108]

$(-8)\cdot(-\frac{9}{3})\cdot(-\frac{2}{5})$

To multiply these numbers, the first step is to writhe "-8" as an improper fraction, to do so, divide it by 1

$(-\frac{8}{1})\cdot(-\frac{9}{3})\cdot(-\frac{2}{5})$

Next is to solve the multiplication, to do so, first multiply the first two terms of the multiplication:

$(-\frac{8}{1})\cdot(-\frac{9}{3})$

The multiplication is between two negative numbers, when you multiply two negative numbers, the minus signs cancel each other and turn into a positive value, this is called "double-negative"

$(-\frac{8}{1})\cdot(-\frac{9}{3})=\frac{8\cdot9}{1\cdot3}=\frac{72}{3}$

Next multiply the result by the third fraction -2/5

This time you are multiplying a positive and a negative number, so the result of the calculation will be negative

$\frac{72}{3}\cdot(-\frac{2}{5})=-\frac{72\cdot2}{3\cdot5}=-\frac{144}{15}$

Final step is to simplify the result, both 144 and 15 are divisible by 3, so divide the numerator and denominator by 3 to simplify the result to the simplest form:

$-\frac{144\div3}{15\div3}=-\frac{48}{5}$

3 0

10 months ago

THIS IS IREADY PLEASE HELP RIGHT ANSWER (Only)

k0ka [10]

Answer Bike trail

Step-by-step explanation:

5 0

3 years ago

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