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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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My question is in the attachment.<br>​
Nikolay [14]

Answer:

5 and 25

Step-by-step explanation:

let the son's age be x then the father's age is x + 20

In 5 years

son = x + 5 and father = x + 20 + 5 = x + 25

Then

x + 25 = 3(x + 5) ← father is three times as old as son

x + 25 = 3x + 15 ( subtract x from both sides )

25 = 2x + 15 ( subtract 15 from both sides )

10 = 2x ( divide both sides by 2 )

5 = x and x + 20 = 5 + 20 = 25

si=on is 5 and father is 25

8 0
3 years ago
Read 2 more answers
What is the distance between (-2 1/2, -3) and (1, -3)
Igoryamba

Answer:

D

Step-by-step explanation:

(-2 1/2, -3) = (-5/2 , -3)    &  (1, -3)

Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(1-[\frac{-5}{2}])^{2}+(-3-[-3])^{2}}\\\\ =\sqrt{(1+\frac{5}{2})^{2}+(-3+3)^{2}}\\\\ =\sqrt{(\frac{7}{2})^{2}} \\\\=\frac{7}{2}\\\\=3\frac{1}{2}

4 0
3 years ago
Read 2 more answers
Use the information in the picture.
Katarina [22]
Yes, parallelogram congruent angles theorem
8 0
3 years ago
solve this system of linear equations. separate the x- and y- values with a comma. 6x +5y=-19 12x-8y=52
Ymorist [56]

ANSWER

The solution is

(x,y)=(1,-5)

EXPLANATION

The equations are:

1st equation: 6x +5y=-19

2nd equation: 12x-8y=52

Multiply the first equation by 2:

3rd equation: 12x +10y=-38

Subtracy the 2nd equation from the 3rd equations.

12x-12x+10y--8y=-38-52

18y=-90

Divide both sides by 18.

y=-5

Put y=-5 into any of the equations and solve for x.

Preferably, the first equation will do.

6x +5(-5)=-19

6x -25=-19

6x=25-19

6x=6

x=1

The solution is

(x,y)=(1,-5)

8 0
3 years ago
A koala weighs 20 pounds. In her pouch she carries her joy that weighs 20 ounces. What is the combined weigth of the adult koala
sdas [7]

Answer: The answer is 21.25 pounds.


Step-by-step explanation:  Given that the weight of Akoala is 20 pounds. Also, she is carrying her joey with her having weight 20 ounces. We need to find the combined weight of the adult Akoala and her joey in ounces.

For that, first we need to conver ounces to pounds.

We know

1~\textup{pound}=16~\textup{ounces}\\\\\Rightarrow 1~\textup{ounce}=\dfrac{1}{16}~\textup{pounds}\\\\\Rightarrow 20~\textup{ounces}=\dfrac{1}{16}\times 20=\dfrac{5}{4}=1.25~\textup{pounds.}

Therefore, the combined weight is given by

W=20+1.25=21.25~\textup{pounds.}

Thus, the answer is 21.25 pounds.



8 0
3 years ago
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