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Luda [366]
3 years ago
7

Assume that when adults with smartphones are randomly​ selected, 57​% use them in meetings or classes. If 9 adult smartphone use

rs are randomly​ selected, find the probability that at least 3 of them use their smartphones in meetings or classes The probability is ?
Mathematics
1 answer:
forsale [732]3 years ago
4 0

Answer: 0.9617

Step-by-step explanation:

Given : The proportion of adults use their phones in meetings or classes : p=0.57

Number of adults randomly selected : n= 9

Let x be the random variable that represents the number of adults use their phones in meetings or classes.

By using binomial probability formula, to find the probability of getting success in x trials.

P(x)=^nC_xp^x(1-p)^{n-x}

The probability that at least 3 of them use their smartphones in meetings or classes will be :-

P(x\geq3)=1-P(x

Hence, the required probability is 0.9617 .

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Two teams are selling candy bars to raise money. Team A has $165 saved and they are selling each candy bar for $2. Team B has $7
devlian [24]

Answer: Each have to sell 91 candy bars to have the same amount of money.

Step-by-step explanation: Suppose x represents the amount of candy bars.

Team A already have $165 and they are selling each candy bar for $2. The mathematical equation that represents the amount of money they have is

A: 165 + 2x

Team B initially has $74 and will sell each candy bar for $3. Then, the mathematical equation representing their amount of money is

B: 74 + 3x

So, to have the same amount of money:

165 + 2x = 74 + 3x

x = 165 - 74

x = 91

<u>Teams A and B will have the same amount of money when each of them </u><u>sell 91 candy bars</u>.

6 0
3 years ago
Overline MD cong overline LS additional information is necessary to show that triangle MTD cong triangle LGS by SSS?
aivan3 [116]

Answer:

TD \cong GS

Step-by-step explanation:

See comment for complete question

Given:

TM \cong GL

MD \cong LS

Required

The information that shows \triangle MTD \cong \triangle LGS by SSS

By SSS implies that, the three sides of both triangles are congruent

Already, we have:

TM \cong GL

MD \cong LS

The third side of \triangle MTD is TD

The third side of \triangle LGS is GS

So, for both to be congruent by SSS, the third sides must be congruent

i.e.

TD \cong GS

4 0
3 years ago
The sum of two numbers is 12. The difference of the same two numbers is 24. what is the larger of the two numbers
Vsevolod [243]

ANSWER


The larger number is 18

<u>EXPLANATION</u>

Let x be the larger number and y be the smaller  number.


Then,

x+y=12--(1)


x-y=24--(2)


Let us add equation (1) and (2).


2x=36


Divide through by 2


x=18


Put x=18 in to equation (1).

This implies that,

18=y=12



y=12-18=-6




4 0
3 years ago
This is confusing<br> (2x+y)^2−(x−2y)^2
Iteru [2.4K]

Answer:

{(2x + y)}^{2}  -  {(x - 2y)}^{2}

<  {(x + y)}^{2}  =  {x}^{2}  + 2xy +  {y}^{2}  >

<  {(x - y)}^{2}  =  {x}^{2}  - 2xy +  {y}^{2}  >

{(2x)}^{2}  + 2(2x)(y) +  {(y)}^{2}  -  {(x)}^{2}  - 2(x)(2y) +  {(2y)}^{2}

{4x}^{2}  + 4xy +  {y}^{2}  -  {x}^{2}  - 4xy +  {4y}^{2}

{4x}^{2}   -  {x}^{2}  +  {4y}^{2}  +  {y}^{2}

= {3x}^{2}  +  {5y}^{2}

5 0
3 years ago
Read 2 more answers
Solve the equation<br> 6.7x = 5.2x + 12.3
Anna [14]

Answer:

x = 8.2

Step-by-step explanation:

6.7x = 5.2x + 12.3

6.7x - 5.2x = 12.3

1.5x = 12.3

x = 8.2 =  \frac{41}{5}  = 8 \frac{1}{5}

7 0
3 years ago
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