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olasank [31]
2 years ago
7

What is the value of x

Mathematics
1 answer:
azamat2 years ago
7 0

Answer:

x = 20

Step-by-step explanation:

given a line parallel to a side of a triangle and intersecting the other two sides, then it divides those sides proportionally , that is

\frac{10}{5x+10} = \frac{11}{121} = \frac{1}{11} ( cross- multiply )

5x + 10 = 110 ( subtract 10 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

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"6. A brand name has a 40% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small s
statuscvo [17]

Answer:

(a) The probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b) The probability that all of the selected consumers recognize the brand name is 0.0041.

(c) The probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d) The events of 5 customers recognizing the brand name is unusual.

Step-by-step explanation:

Let <em>X</em> = number of consumer's who recognize the brand.

The probability of the random variable <em>X</em> is, P (X) = <em>p</em> = 0.40.

A random sample of size, <em>n</em> = 6 consumers are selected.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The probability mass function of <em>X</em> is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...

(a)

Compute the value of P (X = 5) as follows:

P(X=5)={6\choose 5}0.40^{5}(1-0.40)^{6-5}\\=6\times0.01024\times0.60\\=0.036864\\\approx0.0369

Thus, the probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b)

Compute the value of P (X = 6) as follows:

P(X=6)={6\choose 6}0.40^{6}(1-0.40)^{6-6}\\=1\times 0.004096\times1\\=0.004096\\\approx0.0041

Thus, the probability that all of the selected consumers recognize the brand name is 0.0041.

(c)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = P (X = 5) + P (X = 6)

              = 0.0369 + 0.0041

              = 0.041

Thus, the probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d)

An event is considered unusual if the probability of its occurrence is less than 0.05.

The probability of 5 customers recognizing the brand name is 0.0369.

This probability value is less than 0.05.

Thus, the events of 5 customers recognizing the brand name is unusual.

8 0
3 years ago
The position of an object at time t is given by s(t) = 1 - 12t. Find the instantaneous velocity at t = 2 by finding the derivati
yulyashka [42]

The change of displacement with respect to time is defined as speed. Velocity is a vector quantity. The instantaneous velocity at t = 2 is -12.

<h3>What is velocity?</h3>

The change of displacement with respect to time is defined as Velocity. velocity is a vector quantity. It is a time-based component. Its standard unit is m/sec.

Given that the position of an object at time t is given by s(t) = 1 - 12t. Therefore, the velocity of the object can be written as,

V = ds/dt

   = d(1 - 12t)/dt

   = -12

s'(t) = -12

Now, the instantaneous velocity at t=2 is,

s'(2) = -12

Hence, the instantaneous velocity at t = 2 is -12.

To learn more about Velocity:

brainly.com/question/862972

#SPJ1

5 0
1 year ago
Can someone please help me it’s very important please ASAP
ozzi
The answer to this question is c)
7 0
3 years ago
How would I solve this?
zvonat [6]
Use Pythagorean Theorem which states that in a right triangle:

 a^2+b^2=c^2, where a and b are the legs, and c is the hypotenuse.

24^2+10^2=x^2

Take the square root of both sides to solve for x.

x =  \sqrt{676} = 26

The answer  is 26.


4 0
3 years ago
What is 2 = y/5-8 plzzz answer!!!
umka2103 [35]
It's a simple linear equation in 'y'.  There is only one number that 'y' can be
that will make the equation a true statement.  That number is called the
'solution' to the equation.   Here's one way to find it:

You said that                         <u> 2  =  y/5 - 8</u>

Add  8  to each side:          10  =  y/5

Multiply each side by  5:  <em>  50  =  y</em>
3 0
3 years ago
Read 2 more answers
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