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4 years ago

Simplify (-4+6i)(-2+7i)=

Mathematics

1 answer:

Sophie [7]4 years ago

6 0

Step-by-step explanation:

all work is shown and pictured

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Suppose an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that

Deffense [45]

Answer:

The F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

Step-by-step explanation:

There are four treatments in the data given, i.e. k = 4.

Total number of observations, n = 12.

Note: degrees of freedom is denoted as df.

For treatment, the degrees of freedom = k-1 = 4-1 =3 df.

The total degrees of freedom = n-1 = 12-1 = 11 df.

The error in degrees of freedom = df (total) - df(treatment)

The error in degrees of freedom = 11 - 3 = 8 df

At α = 0.05 level,from the F table, the F-statistic with (3 , 8)df is 4.07.

Therefore, the F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

8 0

3 years ago

Two bicyclists were racing toward each other when they were 98 miles apart. Three hours later they did not meet yet and the dist

lesya [120]

Let, speed of 1st bicyclist is x.

So, speed of 2nd bicyclist is x-3 .

We know, relative speed when two objects moves towards each other :

$v = x + ( x-3 )\\\\v = 2x - 3$

Now, distance travelled in 3 hours is (98-2) miles .

So,

$2x-3 = \dfrac{96}{3}\\\\2x - 3 = 32\\\\2x = 35\\\\x = 17.5\ mph$

Therefore, speed of bikes are 17.5 mph and 14.5 mph.

Hence, this is the required solution.

5 0

3 years ago

What is the surface area of a sphere with a radius of 11 units?

postnew [5]

Answer:

Step-by-step explanation:

The surface area of a sphere with radius r is given by

S = 4 pi r^2

for a radius of 11 units,

S = 4 pi 11^2 = 484 pi = 1520.5 sq. units

This does not correspond to any of the answers.

Please check question.

6 0

3 years ago

Read 2 more answers

Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.

Naya [18.7K]

This is just like working with money in a bank account
that's earning 12% interest.

If the population is 422,000 today, and
' n ' is the number of years after today,
then

Population = 422,000 (1.12)ⁿ .

6 0

3 years ago

a farm has 75 Acres of wheat the farmer can harvest the wheat from 12 acres each day and how many days will all the field be Har

kakasveta [241]

It will be 6hours and a half an hour I hope this helps

3 0

3 years ago