Can anybody help me with this problem ? (_11^)P_7

Answers

Answer 1

Answer: ₁₁P₇ = $(11!)/((11 - 7)!)$
₁₁P₇ = $(11!)/(4!)$
₁₁P₇ = $(11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(4 * 3 * 2 * 1)$
₁₁P₇ = 11 × 10 × 9 × 8 × 7 × 6 × 5
₁₁P₇ = 110 × 72 × 42 × 5
₁₁P₇ = 7920 × 210
₁₁P₇ = 1,663,200

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a ship is 45 miles east and 30 miles south of port. if the captain wants to sail directly to south port, what beating sold be taken

Answers

probaly you meant 'what bearing should be taken'

so use pythagorean theorem
c=distance from position to south port
b=45
a=30

a^2=B^2=c^2
30^2+45^2=c^2
900+2025=c^2
2925=c^2
square root of both sides
15 times √13
aprox
54.08
54.1
opposite of east=west
opposite of south=north

bearing=
54.1 miles north-west

Well
  East
45 miles > > > >
< v
< v 30 miles South
North < v
West   < Δ= ship

A right angle is formed, so we use Pythagoras.

$45 ^(2) +30 ^(2)=2925$
$√(2925)=54.08$

Therefore,  the route should be 54 miles North West

the perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 16 meters and its length is 2 meters more than twice its its width

Answers

You'd do 16 times 2 since the length is TWICE as much as 16. So 16x2=32x2=64

The length is 112 because 16*7=112

43.7 is what percent of 9,2

Answers

1. You find, that the number 9.2 is 100% - because it's the output value of the task.

2. You need to find out what x is.

3. If 100% equals 9.2, you can write it down as 100%=9.2.

4. Now you know, that x% equals 43.7 of the output value, so we can write it down as x%=43.7.

5. Now you have two simple equations:

1) 100%=9.2

2) x%=43.7

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=9.2/43.7

7. Solution for 43.7 is what percent of 9.2

100%/x%=9.2/43.7
(100/x)*x=(9.2/43.7)*x - you multiply both sides of the equation by x
100=0.210526315789*x - you divide both sides of the equation by (0.210526315789) to get x
100/0.210526315789=x
475=x
x=475

So the answer is 475%! Hope it works!

Factor the polynomial t2+8t

Answers

Answer: The required factored form of the given polynomial is $t(t+8).$

Step-by-step explanation: We are given to factorize the following quadratic polynomial :

$P=t^2+8t~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following property :

$ab+ac=a(b+c).$

From expression (i), we get

$P\n\n=t^2+8t\n\n=t(t+8).$

Thus, the required factored form of the given polynomial is $t(t+8).$

Two solutions were found : t = 8 t = 0

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "t2" was replaced by "t^2".

Step by step solution :Skip Ad
Step 1 :Step 2 :Pulling out like terms :

2.1 Pull out like factors :

t2 - 8t = t • (t - 8)

Equation at the end of step 2 : t • (t - 8) = 0Step 3 :Theory - Roots of a product :

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

3.2 Solve : t = 0

Solution is t = 0

Solving a Single Variable Equation :

3.3      Solve  :    t-8 = 0

Add  8 to both sides of the equation :
                      t = 8

Two solutions were found : t = 8 t = 0

why did the united states push for control of the oregon country? increased american settlement in the pacific northwest increased threat of british attacks on the louisiana territory discovery of gold in the rocky mountains need for more territory north of the missouri compromise

Answers

The United States pushed for control of Oregon county to increase American settlement in the Pacific Northwest.

The test to detect the presence of the hepatitis B virus is 97% accurate for a person who has the disease and 99% accurate for a person who does not have the disease. In a given population, 0.55% of the people are infected. The probability that a randomly chosen person gets an incorrect result is

Answers

0.0055*0.03+0.9945*0.01

because 0.55% people are infected and inaccuracy of the test is 3%
and rest 99.45% people are not infected and the inaccuracy of the test is 1%

0.03 and 0.01 are the probability of an error being made in infected and uninfected respectively.

0.01011 is the probability that a randomly chosen person gets an incorrect result.

Answer:

The required probability is 0.01011

Step-by-step explanation:

The test to detect the presence of hepatitis B is 97% accurate

Probability of presence and true = 0.97

Probability of presence and false = 0.03

The test to detect the absence of hepatitis B is 99% accurate

Probability of absence and true = 0.99

Probability of absence and false = 0.01

Probability of infected = 0.55% = 0.0055

Probability of not infected = 1 - 0.0055 = 0.9945

Probability to have an incorrect result : P(infected) and P(presence and false) + P(not infected) and P(absence and false)