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2 years ago

PLS HELP! ILL GIVE BRAINLIEST

Mathematics

2 answers:

Elis [28]2 years ago

8 0

Answer:

x = 1/5

Step-by-step explanation:

(2+x) + (2+x) + (2+x) + (2+x) + (2+x) = 11

5(2 + x) = 11

divide each side by 5

2 + x = 11/5

subtract 2 from each side

x = 11/5 - 2

2 = 10/5

x = 11/5 - 10/5

x = 1/5

lubasha [3.4K]2 years ago

4 0

left = right

2.5 + x.5 = 11

10 + 5x = 11

5x = 1

x = 1/5

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Endpoint given the Midpoint: * The midpoint of RP is M(2, 4). If one of the end points is R(-1,7), find the coordinates of the o

marin [14]

Answer:

The coordinates of other point are: (5,1)

Step-by-step explanation:

Given coordinates are:

M(x,y) = (2,4)

R(x_1,x_2) = (-1,7)

We have to find the coordinates of other point (x2,y2)

The formula for mid-point is given by:

$M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Putting the values we get

$(2,4) = (\frac{-1+x_2}{2}, \frac{7+y_2}{2})$

Putting respective elements equal

$\frac{-1+x_2}{2} = 2\\-1+x_2 = 2*2\\-1+x_2 = 4\\x_2 = 4+1\\x_2 = 5\\And\\\frac{7+y_2}{2} = 4\\7+y_2 = 4*2\\7+y_2 = 8\\y_2 = 8-7\\y_2 = 1$

Hence,

The coordinates of other point are: (5,1)

8 0

3 years ago

The largest side of a triangle is six more units than the smallest side. The third side is twice the smallest side. If the perim

svetlana [45]

Equation: x + x + 6 = 2x = 25
smallest side is 4.75 units
largest size is 4.75 + 6 = 10.75 units
3rd side is 2(4.75)= 9.5 units

smallest side is x
largest size is x + 6
3rd side is 2x
-----------------------------------
4x + 6 = 25
-6 -6
4x = 19
 4 4

x = 4.75 is the smallest side

smallest side is 4.75 units
largest size is 4.75 + 6 = 10.75 units
3rd side is 2(4.75)= 9.5 units

7 0

3 years ago

What is the solution of the equation over the complex numbers

denis-greek [22]

Answer:

$2i\sqrt{3}$

$-2i\sqrt{3}$

Step-by-step explanation:

$x^2 + 12$

First set the equation to 0

$x^2 + 12$

$x^2 + 12 = 0$

Second, get the 12 on the right side of the equal sign by adding a -12 to each side

$x^2 + 12 = 0$

$x^2 + 12 + (-12) = 0 -12$

$x^2 = -12$

Square root both sides of the equal sign.

$x^2 = -12$

$\sqrt{x^2} = \sqrt{-12}$

Take the square root on left sides of the equal sign.

$\sqrt{x^2} = \sqrt{-12}$

$x = \sqrt{-12}$

Take the square root on the right side of the equal sign. Remember $\sqrt{-1} = i$

$x = \sqrt{-12}$

$x = \sqrt{4}*\sqrt{-1}\sqrt{3}}$

$x = 2i\sqrt{3}$

AND

$x = -2i\sqrt{3}$

8 0

3 years ago

Help with #2, thank you :)

marishachu [46]

Answer:

2^6

Step-by-step explanation:

2^2 + 2^4 = 2^6

4 0

3 years ago

Read 2 more answers

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mou

Sergio [31]

Using the binomial distribution, it is found that:

a) There is a 0.1618 = 16.18% probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing.

b) There is a 0.104 = 10.4% probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing.

c) 9 is more than 2.5 standard deviations below the mean, hence it would not be surprising if fewer than half covered their mouth when sneezing.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

The values of the parameters are given as follows:

n = 18, p = 0.267.

Item a:

The probability is P(X = 6), hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{18,6}.(0.267)^{6}.(0.733)^{12} = 0.1618$

There is a 0.1618 = 16.18% probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing.

Item b:

The probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{18,0}.(0.267)^{0}.(0.733)^{18} = 0.0037$

$P(X = 1) = C_{18,1}.(0.267)^{1}.(0.733)^{17} = 0.0245$

$P(X = 2) = C_{18,2}.(0.267)^{2}.(0.733)^{16} = 0.0758$

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0037 + 0.0245 + 0.0758 = 0.104.

There is a 0.104 = 10.4% probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing.

item c:

We have to look at the mean and the standard deviation, given, respectively, by:

E(X) = np = 18 x 0.267 = 4.81.

$\sqrt{V(X)} = \sqrt{18(0.267)(0.733)} = 1.88$

9 is more than 2.5 standard deviations below the mean, hence it would not be surprising if fewer than half covered their mouth when sneezing.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0

2 years ago

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