Rewrite 2 11/12 as a fraction greater than 1

g 78% of all Millennials drink Starbucks coffee at least once a week. Suppose a random sample of 50 Millennials will be selected

Tatiana [17]

Answer:

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

6 0

2 years ago

What is the volume of this rectangular

Basile [38]

<h3>Given:</h3>

l= 5 m
b= 4 m
h= 3 m

l= length
b= breadth
h= height

The volume of the given rectangular pyramid.

<h3>Solution:</h3>

$\large\boxed{Formula:V=\frac{1}{3}lbh}$

First, multiply the length (5), breadth (4) and height (3).

$5×4×3$

$= 60 \: cm$

Now, divide 60 by 3.

$\frac{60}{3}$

$\large\boxed{V= 20 \: {m}^{3}}$

<u>Therefore, the volume of the given rectangular pyramid is 20 cubic meters.</u>

8 0

1 year ago

Consider the function: f(x) = 2x^2 - 1.5x - 5 and its graph.

Dominik [7]

Answer:

f(x) = -4x² + 19x - 18

Step-by-step explanation:

$f(x) = 2x^2 - 1.5x - 5$

i) If it is translated 2 units in the positive x direction, therefore we use f(x-2)

$y=f(x-2) = 2(x-2)^2 - 1.5(x-2) - 5\\y = 2(x^2-4x+4) - 1.5x+3 - 5\\y=2x^2-8x+8-1.5x+3-5\\y=2x^2-9.5x+6$

f(x) = 2x² - 9.5x + 6

If it is then translated 3 units in the positive y, we add 3 to the input function to get:

$y=f(x)+3=2x^2-9.5x+6+3\\y = 2x^2-9.5x+9$

ii) stretched vertically by a factor of 2, we multiply the function by 2 to get:

$y =2( 2x^2-9.5x+9) = 4x^2-19x+18\\y= 4x^2-19x+18$

iii) reflected across the x-axis

we multiply the parent function by –1, to get a reflection about the x-axis.

$y= -1(4x^2-19x+18)=-4x^2+19x-18\\y=f(x)=-4x^2+19x-18$

5 0

2 years ago

Use substitution to solve the system<br><br> 2y - 8 = x<br><br> 2x + 3y = -2

devlian [24]

Answer:

x=2y-8

We use the substitution of x in the second equation

2*(2y-8)+3y= -2

4y-16+3y=-2

7y-16= -2

7y= -2 +16

7y=14

y=14Ș7

y=2

so x= 2*2 -8

x=4-8

x=-4

the solution is (x,y)=(-4, 2)

Step-by-step explanation:

7 0

3 years ago

5(3x+4)=15x+20 <br> Is this associative,commutative,identity,Or a distributive property?

svetlana [45]

$\bold{Hey\ there!} \\ \bold{\ Assoviative \ property\ looks\ looks\ like\ this:(2+3)+4;2+(3+4)}\\ \bold{\ Commutative\ property\ looks\ like\ this:b+c;c+b} \\ \bold{\ Distributive\ property\ looks\ like\ this:a(b+c);a(b)+a(c)}\\ \bold{5(3x+4)=15x+20}\\ \\ \bold{5(3x))=15x} \\ \bold{5(4)=20} \\ \\ \bold{Answer:distributive\ property}\checkmark$

$\bold{Reason:\ because\ it\ almost\ similar\ to\ the\ example\ shown\ above\ as\ to\ how\ solve\ it!} \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\\frak{LoveYourselfFirst:)}$

4 0

2 years ago