Buna ,ma puteti ajuta

Based on a survey, assume that 43% of consumers are comfortable having drones deliver their purchases. Suppose that we want to

lutik1710 [3]

Answer:

The probability that exactly three of them are comfortable with delivery by drones is 0.2583.

Step-by-step explanation:

Let X = number of consumers comfortable having drones deliver their purchases.

The probability of the random variable X is, P (X) = p = 0.43.

Then q is, q = 1 - p

A sample of n = 5 consumers are selected.

The random variable X follows a Binomial distribution with parameters n and p.

The pmf of X is:

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

Compute the value of P (X = 3) as follows:

$P(X=3)={5\choose 3}0.43^{3}(1-0.43)^{5-3}\\=10\times 0.079507\times 0.3249\\=0.258318\\\approx0.2583$

Thus, the probability that exactly three of them are comfortable with delivery by drones is 0.2583.

6 0

3 years ago

Which simplified expression matches the set of tiles shown?

notka56 [123]

Answer:

The expression - x² - x + 2 and - x² + x + 2 matches the set of tiles

Step-by-step explanation:

Given four expression as :

A ) - x² - x + 2

solving by mid term breaking

Or, - x² - 2 x + x + 2

Or, - x ( x + 2 ) + 1 ( x + 2 )

or, ( x + 2 ) ( - x + 1 )

B ) x² - x + 2

solving by mid term breaking

Or, x² - 2 x + x + 2

or, x ( x - 2 ) + 1 ( x + 2 )

So, the expression will not break

C ) - x² + x + 2

solving by mid term break

Or, - x² + 2 x - x + 2

or, - x ( x - 2 ) - 1 ( x - 2 )

or, ( x - 2 ) ( - x - 1 )

D ) x² + x + 2

solving by mid term break

Or, ) x² + 2 x - x + 2

Or, x ( x + 2 ) - 1 ( x - 2 )

so, The expression will not break

Hence The expression - x² - x + 2 and - x² + x + 2 matches the set of tiles answer

6 0

3 years ago

A bird drops a stick from the top of Miami Tower. The height of the stick after x seconds is given by f(x) = 625 - 16x^2.

Leni [432]

ANSWER

The maximum value is 625

EXPLANATION

The height of the stick that the bird dropped is modeled by the function;

$f(x) = 625 - 16x^2$

This function is already in the vertex form.

Let me rewrite it clearly for you to see.

$f(x) = - 16(x - 0)^2 + 625$

When we compare this to;

$f(x)=a(x-h)^2+k$

we have h=0 and k=625.

k=625 is the y-value of the vertex.

This is the maximum value on the graph of this function.

3 0

3 years ago

The answer to this problem

Finger [1]

Divide across and see if its proportional meaning that is the same... The answer is 2 so its proportional Hope this helped Im not good at Math but i do understand this i learned it a few days ago Im not a professional though lol I just know how to do this stuff and percents a percent over 100 and X over the number if you ever need help there just like Fractions message me i know how to do proportional relationships Ill try..

4 0

3 years ago

Ik a) but I need help with b)

lozanna [386]

Answer:

${ \rm{ {( \frac{1}{ \sqrt{3} }) }^{7} }} \\$

• First rationalise the denominator:

$= { \rm{ {( \frac{1 \times \sqrt{3} }{ \sqrt{3} \times \sqrt{3} }) }^{7} }} \\ \\ = { \rm{ {( \frac{ \sqrt{3} }{3}) }^{7} }}$

• Open the bracket, by distributing the power to both the numerator and denominator:

$= { \rm{ \frac{( \sqrt{3} ) {}^{6} \times \sqrt{3} }{ {3}^{7} } }} \\ \\ = { \rm{ \frac{27 \sqrt{3} }{2187} }} \\ \\ = { \rm{ \frac{ \sqrt{3} }{81} }}$

b is 3 and c is 81

8 0

3 years ago