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vlabodo [156]
3 years ago
8

assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes. If 10 adult smartphones use

rs are randomly selected find the probability that fewer than 3 of them
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
7 0

Solution: The given random experiment follows Binomial distribution with n=10,p=0.44

Let X be the number of adults who use their smartphones in meetings or classes.

Therefore, we have to find:

P(X

We know the binomial model is:

P(X=x)=\binom{n}{x} p^{x} (1-p)^{n-x}

\therefore P(X

                       =\binom{10}{0}0.44^{0}(1-0.44)^{12-0}+\binom{10}{1}0.44^{1}(1-0.44)^{10-1}+\binom{10}{2}0.44^{2}(1-0.44)^{10-2}

                       =1 \times 1 \times 0.0030 + 10 \times 0.44 \times 0.0054 + 45 \times 0.1936 \times 0.009672

                       =0.0030+0.0238+0.0843

                       =0.1111

Therefore, the probability that fewer than 3 of them is 0.1111

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HELP ME PLEASE!!! I’ll give points
Fiesta28 [93]

Answer:

85 degrees

Step-by-step explanation:

5 and 7 are equal and 7 and 11 are also equal so 5 and 11 are equal to each other

3 0
3 years ago
PAINTING Lisa is painting a fence that is 26 feet long and 7 feet tall. A gallon of paint will cover 350 square feet. Write and
skelet666 [1.2K]
First we need to find the area of the fence, since paint covers square feet and squared units refers to area.  The area of the fence is 26 x 7, which is 182 sq ft.  If one gallon of paint will cover 350 sq ft, your proportion will look like this, with gallons of paint on top and square feet on the bottom. \frac{1}{350} = \frac{x}{182}.  Cross multiply to get 350x = 182 and x = .52, just a bit over a half of a gallon of paint.
7 0
3 years ago
2564.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A
Leokris [45]

Answer:

We conclude that the board's length is equal to 2564.0 millimeters.

Step-by-step explanation:

We are given that a sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0.

Let \mu = <u><em>population mean length of the board</em></u>.

So, Null Hypothesis, H_0 : \mu = 2564.0 millimeters    {means that the board's length is equal to 2564.0 millimeters}

Alternate Hypothesis, H_A : \mu \neq 2564.0 millimeters      {means that the boards are either too long or too short}

The test statistics that will be used here is <u>One-sample t-test statistics</u> because we don't know about the population standard deviation;

                             T.S.  =  \frac{\bar X-\mu}{\frac{s }{\sqrt{n}} }  ~  t_n_-_1

where, \bar X = sample mean length of boards = 2559.5 millimeters

            s = sample standard deviation = 15.0 millimeters

             n = sample of boards = 26

So, <em><u>the test statistics</u></em> =  \frac{2559.5-2564.0}{\frac{15.0 }{\sqrt{26}} }  ~   t_2_5

                                     =  -1.529    

The value of t-test statistics is -1.529.

Now, at a 0.05 level of significance, the t table gives a critical value of -2.06 and 2.06 at 25 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so <u><em>we have insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.

Therefore, we conclude that the board's length is equal to 2564.0 millimeters.

4 0
3 years ago
I really need help with this problem steps
melamori03 [73]
Solve for y by setting one equation =to X after that you can substitute the equation into the other one let's set the first one in X= FORM
X-7y=10
-2x+14y=-20

Add 7y to both sides of the first equation to let x stand alone
X=7y+10
Now you can substitute x on the second equation
-2 (7y+10)+14y=-20
Distribute
-14y-20+14y=-20
Add and simplify
Us cancel out =0
-20=-20
0=0
They are the same equations you can also divide the second equation by -2 which would make it look like this
X-7y=10
-2 (x-7y=10)
Let me know if I have answered your question
5 0
3 years ago
QUICK QUICK QUICK QUICK PLEASE! 1 MIN ONLY! 4 QUESTIONS TO ANSWER PLEASE ANSWER THEM IN ORDER WITH A EXPLANATION! NOTE: READ CAR
Tems11 [23]

Answer: (1.) 1/3

(2.)2/3

(3.) 2:1

(4.) 1/2

Step-by-step explanation:

(1.) 12 mult. problems and 12+24=36 total so 12/36 =1/3

(2.) 24 div. problems and 36 totals so 24/36 =2/3

(3.) 24 div and 12 mult =24/12 or 2/1

(4.) 12 mult and 24div =12/24=1/2

6 0
3 years ago
Read 2 more answers
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