assume that when adults with smartphones are randomly selected 52% use them in meetings or classes. if 12 adult smartphone users are randomly selected find the probability that fewer than 4 of them use their smartphones in meetings or classes?

Answers

Answer 1

Answer:

0.056

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

P(r<4) = P(0) + P(1) + P(2) + P(3)

P(r<4) = ₁₂C₀ (0.52)⁰ (0.48)¹²⁻⁰ + ₁₂C₁ (0.52)¹ (0.48)¹²⁻¹ + ₁₂C₂ (0.52)² (0.48)¹²⁻² + ₁₂C₃ (0.52)³ (0.48)¹²⁻³

P(r<4) = (0.48)¹² + 12 (0.52) (0.48)¹¹ + 66 (0.52)² (0.48)¹⁰ + 220 (0.52)³ (0.48)⁹

P(r<4) = 0.056


Related Questions

If there are 640 football stickers needed to fill my book and I have 80% of the stickers
I need. How many more stickers do I need to collect?

Answers

Answer:

160 more stickers

Step-by-step explanation:

640 divided by 4 is 160

160 times 5 is 800

800 minus 640 is 160

you need 160 more stickers

160 more stickers the person above is Correct.

Help!!!Geometry chapter three

Answers

Answer: 50

Step-by-step explanation:

3(50)-14=136

how to name the angle 3 different ways for g, e, f

Answers

Answer:

Not sure what you are referring to but the three main angles are Acute, Right, and Obtuse

El primer término en una secuencia es 5 y el quinto término es 17. ¿Cuál es la diferencia común

Answers

The common difference of this Sequence is 12.

In mathematics, a sequence refers to an ordered list of numbers. When working with sequences, there are various concepts and formulas that are used to calculate different aspects of the sequence. One such concept is the common difference. Let's explore what the common difference is and how to calculate it.
What is the common difference?
The common difference in a sequence refers to the difference between any two consecutive terms in the sequence. For example, in the sequence 2, 4, 6, 8, 10, the common difference is 2. We get this value by subtracting the second term (4) from the first term (2) and so on.
How to find the common difference of a sequence?
To find the common difference of a sequence, you need to know at least two terms of the sequence. You can then subtract one term from the other to calculate the common difference.
Let's apply this to the given sequence, which has a first term of 5 and a fifth term of 17. To find the common difference, we can subtract the first term from the fifth term as follows:
17 - 5 = 12
Therefore, the common difference of this sequence is 12.

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Solve. Enter your answer as an inequality.
4x + 5 < 5x + 3
w

Answers

Step-by-step explanation:

4x+5<5x+3

4x=-5<5x=-3

x=-5/4<x=-3/5

1.25<0.6

Jim is building in model airplane the scale is 1 in 25 the actual length of the plane is for 450 feet.How long will the model be?

Answers

Answer:

18

Step-by-step explanation:

if the scale is 1 to 25, and the 25 is the same as 450, you just divide by the scale 450/25 equals 18

Find and simplify as much as possible. Let f(x)=x^2+2 be for f(x+h)-f(x)/h

Answers

Answer:

In picture

Step-by-step explanation:

Use the given functions to set up and simplify

Complete the statement with , or =.

3/8 greatter than or less that 0.3 .............promise a brain list help quickly NOWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW

Answers

Step-by-step explanation:

Hey there!

0.3 = 3/8 (equal to eachother)

Reason: (3/8 = 0.375)

So, 0.3 is equal to eachother.

0.3=0.3

Hope it helps...

Given sin(30 degrees) =1/2 and cos (30 degrees) = square root of 3/2 use trigonometry identities to find the value of cot(30 degrees)

1/2
Square root of 3/3
Square root of 3/2
Square root of 3

Answers

Answer: D)[tex]\sqrt{3}[/tex]

Step-by-step explanation:

cot(θ) = cos(θ) ÷ sin(θ)

cot(30) = [tex]\frac{\sqrt{3} }{2}[/tex] ÷  [tex]\frac{1}{2}[/tex]

cot(30) = [tex]\sqrt{3}[/tex]

The value of cot30 is √3 if sin30 = 1/2 and cos30 = √3/2 option (D) is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

sin30 = 1/2

cos30 = √3/2

As we know,

cotA = cosA/sinA

A = 30 degrees

cot30 = cos30/sin30

cot30 = (√3/2)/(1/2)

cot30 = √3

Thus, the value of cot30 is √3 if sin30 = 1/2 and cos30 = √3/2 option (D) is correct.

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3x-2y=2
i always get mixed up in the final answer y=1 -3/2x 0r y= 1 +-3/2x ?

Answers

Answer:

Both answers are correct

Step-by-step explanation:

both y = 1 - 3/2x and y = 1 + -3/2x are correct answers, it is just that y= 1 - 3/2x is the simpler version. Adding a negative number is the same as subtracting a positive.

Answer:

y=3/2x-1

Reasoning:

-3x was negative initially, but dividing by -2 made it positive

please help me with this will thank u forever ❤️

image below

Answers

Answer:

>

Step-by-step explanation:

Since both have the same -9 integer, we don't have to worry about that.

Now, 1/5 is smaller than 1/4;

1/5 = 0.2

1/4 = 0.25

Therefore, we use the > sign.

Answer:

>

Step-by-step explanation:

just learned this at school :)

work out the product of
2 2/3 and 4 4/5

Answers

The fraction for is 65/5 or you can convert it to a decimal which is12.8

Answer:

12 [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

The first step is to change the mixed numbers to improper fractions

2 [tex]\frac{2}{3}[/tex] × 4 [tex]\frac{4}{5}[/tex]

= [tex]\frac{8}{3}[/tex] × [tex]\frac{24}{5}[/tex] ( cancel 3 and 24 by 3 )

= [tex]\frac{8}{1}[/tex] × [tex]\frac{8}{5}[/tex]

= [tex]\frac{8(8)}{1(5)}[/tex]

= [tex]\frac{64}{5}[/tex]

= 12 [tex]\frac{4}{5}[/tex]

Imagine you have asked 1000 people how much they enjoy eating on a scale of 1-7. You have very skewed data, such that there are only outliers in the "negative" or left-hand side of the distribution. You decide to convert everyone's scores to z-scores. 1. After you convert the scores into z-scores, what would the shape of the distribution be? Explain your answer. Imagine you have ask the same 1000 people how much they enjoy running on a scale of 1-7. You have perfectly normal data. You decide to convert everyone's scores to z-scores. 2. Which z-score would be more probable, a z = -2.0 or a z = +0.5. Explain your answer.

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Given that:

n=1000  

Where the data is distorted and the bad outlier is just axed,when we transform scores of its distribution form into z-score, that become negative or skewed to the left.  If n=1000 doesn't have normal skewed knowledge, then:  

The data range is between 1 to 7

[tex]\to 1 \ to \ 7 = 6 \sigma \\\\\to \sigma =\frac{7-1}{6} \\\\\to \sigma = \frac{6}{6}\\\\\to \sigma = 1\\\\\mu = 4\\[/tex]

In point (1):

The score that matches:  

[tex]\to Z=-2 \ \ \ \mu -26 \\\\ \to 4-2 =2\\\\ \to Z_{score} =2[/tex]

In point (2):

Its value of Z= 0.5 is [tex]\mu \ \ to \ \ 5 \ \ \sigma[/tex]

[tex]= 4+ 0.5 \times 1\\\\= 4+ 0.5\\\\=4.5\\[/tex]

Please answer as fast as you can.
what is 30 + 5(2x -1) + 20

Answers

Answer:

10x + 55

Hope this helps :)

the answer is 40 brainliest plz

25% of a spring basket is peeps.
The total number of items in the
basket is 20. How many of the
items are peeps?

Answers

Answer:

5

Step-by-step explanation:

25% of 20=5

Answer:

5 items are peeps

Step-by-step explanation:

25% is 1/4 of 100%, so divide 20 (your total # of items) by 4, and you get 5, which is 25% of your 20 spring basket items.

simplify the following

-(3z)2

Answers

Answer:

-9x²

Step-by-step explanation:

-(3x)²

In PEMDAS, we solve the exponent first then multiply.

-(3x)²

-(9x²)

-9x²

Best of Luck!

Uisng the PEMDAS method of simplifying arithmetic expressions, the expression would be 9z²

Given the expression :

-(3z)²

This can be written as :

-3z × - 3z

Negative values will cancel out,

= 9z²

Therefore, the simplified form of the expression would be 9z²

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help as soon as possible pleaseee

Answers

Answer:

(3x + 2)(x-4)

Step-by-step explanation:

3x² - 10x - 8 = 0

(splitting the middle term)

3x² -12x + 2x -8 = 0

3x(x-4) + 2(x-4) = 0

(3x + 2)(x-4) = 0

(3x + 2)(x-4) is the correct answer (option a)

Factor by grouping so your answer you be #1 (3x +2)(x-4)

2x²-2x=12
quadratic equation​

Answers

x=3,-2 you solve by using the quadratic formula

You can solve with many ways but I'll do this one instead. Move 12 to the left side and change from positive to negative.

[tex]2x^2-2x-12=0\\[/tex]

Then divide by 2 whole equation.

[tex]\frac{2x^2-2x-12}{2}=\frac{0}{2}[/tex]

Simplify, as we get  [tex]x^2-x-6=0[/tex]

We can either use Quadratic Formula or Factoring the Polynomials. It depends but since the polynomial aren't that hard to factor because it doesn't have that many numbers in value. So using factoring will be faster.

From [tex]x^2-x-6=0[/tex] we can factor as -

[tex](x-3)(x+2)=0\\x-3 =0, x+2=0\\x=3, x=-2\\(x=3,-2)#[/tex]

Thus, the value of x is 3 or -2. So x = 3, -2 is the answer.

Note that we can also use Quadratic Formula to solve the equation, however that will take longer than factoring then solve the equation.

3x² + 2x + 2 + 4x² + 5​

Answers

Answer:

7x^2 + 2x + 7

Hope this helps :)

Answer:

7x²+2x+7

Step-by-step explanation:

Hope this helps. Plz give brainliest.

Suppose that 11 inches of wire costs 44 cents. At the same rate, how many inches of wire can be bought for 16 cents?

Answers

Answer:

4 inches

Step-by-step explanation:

of 11 inches of wire costs 44 cents, then 1 inch of wire costs 4 cents because 44 cents ÷ 11 inches = 4 cents per inch. (44 ÷ 11 = 4)

So, if 1 inch is 4 cents, 16 cents is 4 inches because 16 ÷ 4 = 4

Mrs.Manning is making cookies for the bake sale. She jas 3/4 cup of flour and needs 1/3 cup of flour for her chocolate chip cookies. What fraction of the flour Mrs.Manning has will be used for her chocolate chip cookies?

Answers

Answer:

The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9

Step-by-step explanation:

Fraction of Portion

Suppose we have a number n and another number m such as m>n. The portion or fraction of size n of m is given by the quotient n/m.

For example, 3 pieces of cake out of a total of 6 make them a fraction of 3/6 = 1/2 of the whole cake, i.e. half of the total available.

Mrs. Manning needs 1/3 cup of flour to make cookies for the bake sale. She actually has 3/4 cups of flour. Calculate the fraction of needed against the available flour:

[tex]\displaystyle \frac{\frac{1}{3}}{\frac{3}{4}}[/tex]

The division can be easier performed by multiplying by the reciprocal of the denominator:

[tex]\displaystyle \frac{1}{3}\cdot \frac{4}{3}=\frac{1*4}{3*3}[/tex]

[tex]\displaystyle =\frac{4}{9}[/tex]

The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9

1.6 Write the following numbers in order of size. Start with the smallest number.
0.5, 0.14, 0.092, 0.33​

Answers

0.092, 0.14, 0.33, 0.5

PLEASE HELP ME ANSWER THIS
What is cos 60?

Answers

Answer:

The angle with measure 60° is one of those angles that has a well-known cosine value: cos(60°) its C= 1/2.

Step-by-step explanation:

cos(60°) =[0; 2] and cos^2=[0; 4] so cos 60°=1/2

Lucia bikes 50 4/5 mi in 4 hours how many miles did she bike per hour?​

Answers

Lucia biked approximately 12 7/10 miles per hour.

To find the number of miles Lucia biked per hour, we need to divide the total distance she biked by the total time taken.

Lucia biked a total distance of 50 4/5 miles in 4 hours.

To divide a mixed number by a whole number, we first convert the mixed number into an improper fraction.

50 4/5 = (50 * 5 + 4) / 5 = 254/5

Now, we can divide the distance by the time:

(254/5) miles / 4 hours = (254/5) / 4

To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number.

(254/5) / 4 = (254/5) * (1/4) = 254/20 = 12 14/20 = 12 7/10

Therefore, Lucia biked approximately 12 7/10 miles per hour.

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Do I have the right anwer if not what is it

Answers

Answer:

yes

Step-by-step explanation:

its rightsss

Answer:

Yes

Step-by-step explanation:

A person drives 5,000 miles in 6 months. How many miles will that person drive in 3 years?

Answers

Answer:

30,000 miles

Step-by-step explanation:

This is the answer because:

1) There are 36 months in 3 years

2) Divide 36 with 6 because we know this person drives 5,000 miles in 6 months

36/6 = 6

3) Finally, multiply 5,000 and 6 which is 30,000

5,000 x 6 = 30,000

Therefore, the answer is 30,000 miles

Hope this helps! :D

A person drives 5,000 miles in 6 months. So, 30,000 miles will that person drive in 3 years.

A person drives 5,000 miles in 6 months

To determine How many miles will that person drive in 3 years.

First we convert 3 years into month.

1 year = 12 months

3 years = 12 * 3 = 36 months

Now, lets consider

x miles will that person drive in 3 years

6 months = 5,000 miles

36 months = x miles

x = 5,000/6 * 36 = 30,000

Therefore, 30,000 miles will that person drive in 3 years.

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Classify the four angles of the quadrilateral

Answers

Answer:

<A= right

<B= obtuse

<C= acute

<D= obtuse

Step-by-step explanation:

hglj,vmfctugklgyhbv n fv dbhdbdthigb;aozjdnb;gnas'ifnb;ozhkvllgc,jvgj

Answers

Answer: yeahh ok?

Step-by-step explanation:

Find the slope and the y-intercept of the line.

6x + 5y = 32

Answers

Answer:

Slope = - 6/5x

Y int=(0,6.4)

X int=(5.333,0)

Step-by-step explanation:

It has been proof checked on desmos

Vincent watched 10 episodes of Fortnite online in 2.5 hours. He spent the same of time watching each episode. What is the unit rate of hours to episodes?

Answers

each video is 15 minutes long

Step-by-step explanation:

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