Assume that when adults with smartphones are randomly selected, 39% use them in meetings or classes. If 30 adult smartphone users are randomly selected, find the probability that exactly 24 of the use their smartphones in
meetings or classes
The probability is .
(Round to four decimal places as needed)

Answer: 600

Step-by-step explanation:

First, let's define our variables for this problem:

D = # of points that Dan scored.

E = # of points that Eric scored.

F = #of points that Frank scored.

We know that:

"Dan scored 6/10 of the points that the three boys scored."

D = (6/10)*(D + E + F)

"Eric scored 7/10 of the remaining"

In this case, the remaining refers to  (1 - (6/10))*(D + E + F) = (4/10)(D + E + F)

Then:

E = (7/10)*(4/10)*(D + E + F)

And we also know that:

F = 120

Then we have a system of 3 equations:

D = (6/10)*(D + E + F)

E = (7/10)*(4/10)*(D + E + F) = (28/100)*(D + E + F)

F = 120

To solve this, the first step is try to reduce the number of variables, then we can just replace the 3rd equation into the other two:

D = (6/10)*(D + E + 120)

E = (28/100)*(D + E + 120)

Now let's try to isolate the variable E in the second equation:

E = (28/100)*D + (28/100)*E + 36.6

E - (28/100)*E = (28/100)*D + 36.6

E( 1 - 28/100) = (28/100)*D + 36.6

E*(72/100) = (28/100)*D + 36.6

E = (100/72)*((28/100)*D + 36.6) = (28/72)*D + 46.666...

Now let's replace this in the other equation:

D = (6/10)*(D + 120 + (28/72)*D + 46.666...)

Let's solve this for D.

D = (6/10)*(D*(100/72) + 166.666)  = 100 + D*(47/72)*(6/10)

D -  D*(100/72)*(6/10) = 100

D*(1- (100/72)*(6/10) ) = 100

D = 100/((1- (100/72)*(6/10) ) = 600

Dan scored 600 points

Answer:

because they want money.

Step-by-step explanation:

Answer:

x=X/3+4

Step-by-step explanation:

Answer:

percent is that no. as we generally denotes 33 /100 as 33percent

Step-by-step explanation:

Answer:

-6 - 3d

Step-by-step explanation:

-6 + (-2d) + (-4d) + 3d

-6 - 2d - 4d + 3d

-6 - 6d + 3d

-6 - 3d

Answer:

y=-3/2x+745

Step-by-step explanation:

so u you convert standard form to slope intercept which would be y=-3/2x+745  the y intercept is 745 and the slope (rise over run is the -3/2).

Answer:

1. slope intercept form is y=mx+b, where m is the slope and b is y-intercept. To write this in slope intercept form we must isolate the y. 

2x+3y=1470

2x+3y-2x=1470-2x( subtraction will cancel the positive 2x on the left side)

3y=-2x+1470 ( since they are not like terms we can not combine them, we leave them separate)

3y/3=-2/3x+1470/3( cancel the 3 by dividing, EVERYTHING IN THE EQUATION gets divided to keep it equal) 

So, y=2/3x+490 in other words the slope of the equation is -2/3 and the y-intercept is 490.

2. To graph this equation plot 490 on the y-axis first, seeing it is the y-intercept. Then count over to the right 3 and down 2, to find your next point and do this for every other point. 

.3. In function notation this would look like this : f(x)=-2/3x+490. This function shows how the profit on wrap specials has changed as the number of sandwich specials sold increases

5. The next month Sals profit increased. The function changes because the y-intercept changes. The slope will stay the same.

Step-by-step explanation:

Answer:

x = 28

Step-by-step explanation:

If y = 252, solve for x

y = 9x

252 = 9x

x = 28

Answer:

1.28

Step-by-step explanation:

Answer:

1.28 Is the Answe

Answer:

Step-by-step explanation:

-320 is the answer to your mathematical problem

Answer:

???

Step-by-step explanation:

Given:

The point is (-6,5).

It is on the terminal side of theta.

To find:

The values of [tex]\sin\theta[/tex] and [tex]\cos \theta[/tex].

Solution:

In the point (-6,5),

x-coordinate : x=-6

y-coordinate : y=5

So, [tex]r=\sqrt{x^2+y^2}[/tex]

[tex]r=\sqrt{(-6)^2+(5)^2}[/tex]

[tex]r=\sqrt{36+25}[/tex]

[tex]r=\sqrt{61}[/tex]

Now,

[tex]\sin \theta=\dfrac{y}{r}[/tex]

[tex]\sin \theta=\dfrac{5}{\sqrt{61}}[/tex]

[tex]\cos \theta=\dfrac{x}{r}[/tex]

[tex]\cos \theta=\dfrac{-6}{\sqrt{61}}[/tex]

Therefore, the required values are [tex]\sin \theta=\dfrac{5}{\sqrt{61}}[/tex] and [tex]\cos \theta=-\dfrac{6}{\sqrt{61}}[/tex].

Answer:

55

Step-by-step explanation:

WRONG ANSWER I WANT THE RIGHT ANSWER

Answer:

The value is  [tex]\sigma = 4.35[/tex]

Step-by-step explanation:

From the question we are told that

  The number of light bulbs produce every hour is  n  =  1409

   The proportion of light bulbs that are defective is  [tex]p = 0.0136[/tex]

Generally from the question we are told to use binomial distribution hence the standard deviation of the number of defective bulbs produced in an hour is  mathematically represented as

        [tex]\sigma = \sqrt{n * p * (1- p )}[/tex]

=>     [tex]\sigma = \sqrt{1409 * 0.0136 * (1 - 0.0136 )}[/tex]

=>     [tex]\sigma = 4.35[/tex]

Answer:

Solution

Solution

=-6

Step-by-step explanation:

should be correct.. I hope.

Answer:

5 1/4 pounds can be purchased for $12 dollars

Step-by-step explanation:

$6 x 2 = $12

So:

2 5/8 x 2 = ?

21/8 x 2/1 = 48/8 = 5 1/4

Answer:

55 mph

Step-by-step explanation:

Answer:

Step-by-step explanation:

rate=distance/time=275/5=55 miles per hour

Answer:

2,958

Step-by-step explanation:

2,000+900=2,900 2,900+50=2,950 2,950+8=2,958

Answer:

The sum of any set of consecutive odd numbers starting with 1 is always equal to the square of the number of digits that were added together. Sum of first two odd numbers = 1 + 3 = 4 (= 2 x 2). Sum of first three odd numbers = 1 + 3 + 5 = 9 (= 3 x 3). Sum of first four odd numbers = 1 + 3 + 5 + 7 = 16 (= 4 x 4).

Step-by-step explanation:

[tex]hii[/tex]

hope this helps you ✌️

9514 1404 393

Answer:

  2.2, 2.20, 2.2000, 2.20000, ...

Step-by-step explanation:

Any decimal number with more or fewer trailing zeros will be equivalent. Some are ...

  2.2, 2.20, 2.2000, 2.20000

__

These "equivalents" have the same value, but differing numbers of significant digits. If significant digits are important, the given form is the one you want.

[tex]\tt Step-by-step~explanation:[/tex]

Let’s go through several different solutions.

[tex]\tt Simplified:[/tex]

You can just take away two zeros at the end. You will get 2.2.

[tex]\tt Fractions:[/tex]

0.2 is equal to 2/10 or 1/5, so another solution would be 2 1/5.

You can also multiply 5 by 2 and add 1 to get another solution: 11/5.

[tex]\Large\boxed{\tt Our~final~answers:\underline{2.2},~2\frac{1}{5},~\frac{11}{5} }[/tex]

*Underlined: What you needed: decimal

Answer:

15/16

Step-by-step explanation:

The unit rate is pages per minute, so divide the pages by the minutes:

(5/8)/(2/3) = (5/8)·(3/2) = 15/16 pages per minute

Answer:

I believe B is the only one that is proportional. I'm sorry if i am wrong

Step-by-step explanation:

Answer:

[tex]r = 2[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (5,96)[/tex]

Required

Determine the common ratio

An exponential function is of the form.

[tex]y(x) = ar^x[/tex]

For:

[tex](x_1,y_1) = (0,3)[/tex]

We have:

[tex]3 = a * r^0[/tex]

[tex]3 = a * 1[/tex]

[tex]a= 3[/tex]

For

[tex](x_2,y_2) = (5,96)[/tex]

We have:

[tex]96 = ar^5[/tex]

Substitute 3 for a

[tex]96 = 3 * r^5[/tex]

Divide both sides by 3

[tex]\frac{96}{3} = \frac{3 * r^5}{3}[/tex]

[tex]32 = r^5[/tex]

Express 32 as an exponent of 2

[tex]2^5 = r^5[/tex]

By comparison

[tex]2 = r[/tex]

[tex]r = 2[/tex]

Answer:

The answer is false.

Step-by-step explanation:

Answer:

x <−22

Step-by-step explanation:

Let's solve your inequality step-by-step.

−2x+5>49

Step 1: Subtract 5 from both sides.

−2x+5−5>49−5

−2x>44

Step 2: Divide both sides by -2.

2x/ -2 > 44/ -2

Step-by-step explanation:

[tex]if \: f(x) = x + 1 \iff \: g(x) = - x + 4 \\ the \: transformations \: that \: took \: place \: are : \\ both : \\ translational \: transformation \\ reflectional \: transformation \\ \\ the \: fuction : f(x) = x + 1 \: is \: translated \: \\ \: verticaly \: by : 3 \: in \: the \: positive \: y - axis \: \\ to \: be : g(x) = x + 4\\ \\ while \\ \\ the \: fuction : f( - x) = - x + 1 \: is \: mirrored \: \\ \: verticaly \: by : - x \: in \: the \: positive \: y - axis \: \\ to \: be : g(x) = - x \\ \\ therefore \: both \: transformation \: results \: to : \\ f( x) = x + 1 \iff \: g(x) = - x + 4[/tex]

♨Rage♨

Answer:

245.84

Step-by-step explanation:

Answer: 40%

Step-by-step explanation:

The shaded area represents 4/10 if you multiply the top and bottom by 10 you should get 40/100 which gives you 40% since percents are on a scale from 1 to 100.

Answer:

7,4

Step-by-step explanation:

If you are trying to find the distance between the two points, you can subtract 1,6 from 9,0.

Answer:

120

Step-by-step explanation:

Answer:

There are no solutions to that.