resta y suma de valor absoluto​

Answer:

0.948

Step-by-step explanation:

Given that:

Number of character ID = 32

Numbers = 0 - 9 = 10

Alphabets = A - F = 6

Likelihood of each number or alphabet is equal

Probability that atleast 16 characters in the ID are numbers

Probability of success (p) = required outcome / Total possible outcomes

p = 10/(10 + 6) = 5/8

P(at least 16 numbers), similar to 1 - p(at most 15)

Using the specified calculator :

Binomcdf(number of trials, p, 15) = 0.0520

1 - 0.0520 = 0.948

Answer:

pq - (p-q) = -11 checked

Step-by-step explanation:

p= -4, q = 5,

pq= -20, p-q = (-4) - 5 = -9

pq - (p-q) = -20 - (-9) -20 +9 = -11

Answer: The number of car stereos had a CD player only = 72

Step-by-step explanation:

As per given,

Number of car stereos had CD player = 112

Number of car stereos had both CD and a cassette player= 40

Then, the number of car stereos  had a CD player only = (Number of car stereos had CD player ) -(Number of car stereos had both CD and a cassette player)

= 112- 40

= 72

Hence, The number of car stereos had a CD player only = 72

Answer:

The answer is C : $115.54

Step-by-step explanation:

If you add every single items cost together, the total is $109.00

60 + 14 = 74

10 + 25 = 35

74 + 35 = $109

You then caculate what 6% percent of 109 is = $6.54

After that, you add the total and percent together

$6.54 + $109.00  = $115.54

Answer:answer is c

Step-by-step explanation:I took edge 2022

Answer:

The answer is 19.

Step-by-step explanation:

3x+1+12=9x+1

3x+13=9x+1

13=6x+1

12=6x

x=2

3(2)+1+12=19

Answer:

CA = 19

Step-by-step explanation:

3x + 1 + 12 = 9x + 1

combine like terms

3x + 13 = 9x + 1

Subtraction property of equality

3x - 3x + 13 = 9x - 3x + 1

13 = 6x + 1

Subtraction property of equality

13 - 1 = 6x + 1 - 1

12 = 6x

Division property of equality

12/6 = 6x/6

2 = x

Symmetric property of equality

x = 2

Substitute x for 2

9(2) + 1 = 19

Answer:

0 times because 8 is greater than 0

Step-by-step explanation:

Answer:

the answer would be 0 because if you try to put 8 into 0, it wont so your answer would be 0

Answer:

-1

Step-by-step explanation:

Answer:

- 1/6 is correct

perpendicular refers to the opposite of 1/6 therefor being negative 1/6

Step-by-step explanation:

Answer:

if 2.4 is there it will become -2. 4

Answer:

10

Step-by-step explanation:

Put the h+2 on the outside and 10h+20 on the inside

h+2 can go into 10h+20 ten times.

So the final answer is 10

Answer: 7.04

Step-by-step explanation:

Subtract 154.94- 147.88 because its asking how much more you made on the second paycheck then the first. So in order to get the answer subtract

Answer:

The code has 7 digits:

Here you are asking:

"What is the probability that the code is consisting only of the digits {1, 2, 3, 4, 5, 6, 7}?"

Ok, first we must calculate the number of all the possible codes.

Suppose that each digit is an independent event.

Each one of those events has 10 possible outcomes {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

And we have 7 of those.

The total number of possible combinations is equal to the product of the number of outcomes for each event, then the total number of possible combinations is:

C = 10^7.

Now let's calculate the number of possible codes if we only use the digits in the restriction.

We can do exactly the same as above, but now in each case, we have 7 possible outcomes for each digit, then in this case the number of possible combinations is:

c = 7^7.

Now the probability of generating at random a code that only uses the digits  {1, 2, 3, 4, 5, 6, 7} is equal to the quotient between the number of codes that only use these digits, and the total number of possible codes.

P = c/C = (7^7)/(10^7) = (7/10)^7 = 0.082

Answer:

x = 67.5°

y = 27.5°

Step-by-step explanation:

Find x:

m<CAJ = 22.5° (given)

<CAJ and <DAK are vertical angles. Vertical angles are congruent, therefore,

m<DAK = m<CAJ

m<DAK = 22.5° (substitution)

m<BAK = right angle (AB is perpendicular to JK)

Therefore,

m<BAK = 90°

m<DAK + x° = m<BAK (Angle addition postulate)

22.5° + x° = 90° (substitution)

Subtract 22.5 from both sides

x = 90° - 22.5°

x = 67.5°

Find y:

m<CAH = 130° (given)

m<CAH + m<DAK + m<HAK = 180° (Angles on a straight line)

130° + 22.5° + m<HAK = 180° (Substitution)

152.5 + m<HAK = 180°

Subtract 152.5 from both sides

m<HAK = 180° - 152.5°

m<HAK = 27.5°

y = m<HAK (vertical angles are congruent)

y = 27.5° (substitution)

The value of x and y from the figure is 27.5 and 62.5 degrees

To get the value of y, we will take the sum of angle on a straight line JK to have:

22.5 + 130 + x = 180

152.5 + x = 180

x = 180 - 152.5

x = 27.5 degrees

For the angle x, the sum of x and y from the diagram is complementary. Hence;

x + y = 90

y = 90 - x

y = 90 - 27.5

y =  62.5 dgrees

Hence the value of x and y from the figure is 27.5 and 62.5 degrees

Learn more on angles here: https://brainly.com/question/24775470

Answer:

Step-by-step explanation:

Given data

mass m=37.72g

density=5.55 g/cm^3

volume v=?

We know that density is

density = mass/volume

Substituting into the expression we have

5.55 g/cm^3=37.72/v

cross multiply we have

5.55v=37.72

v=37.72/5.55

v=6.79cm^3

Answer: x=-19

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

5,109

Step-by-step explanation:

:) please give brainliest

Answer:

width = 15 ft

length = 18 ft

Step-by-step explanation:

lets assume the width is w, and length is l.

For the first equation, we all know that a rectangle is 2 widths and 2 lengths added up, which in "math" language looks like this:

2w+2l= 66

for the second equation, the problem says that the length is 3 ft greater than the width. From there, we can derive the equation:

w+3 = l

Now you can substitute one of the variables, length or width, but it is easier to do length. The equation ends up being:

2(w+3) + 2w = 66

Distributive property:

2w+6+2w = 66

which is equal to:

4w+6 = 66

which finally is:

w=15 ft.

Now that we know the width, we can just add 3 to the width to get the length, according to the problem. You get:

L = 18 ft.

Answer:

(a) 0.047

(b) 0.613

(c) 0.387

Step-by-step explanation:

In a sample of 1000 U.S. adults 217 think that most celebrities are good role models.

The proportion of U.S. adults who think that most celebrities are good role models is, p = 0.217.

Two U.S. adults are selected from this sample without replacement.

Let X denote the number of U.S. adults who think that most celebrities are good role models.

Both the individuals are independent of each other.

The random variable X follows a binomial distribution with parameters n = 2 and p = 0.217.

The probability mass function of X is:

[tex]P(X=x)={2\choose x}(0.217)^{x}(1-0.217)^{2-x};x=0,1,2[/tex]

(a)

Compute the probability that both adults think most celebrities are good role models as follows:

[tex]P(X=2)={2\choose 2}(0.217)^{2}(1-0.217)^{2-2}\\=1\times 0.047089\times 1\\=0.047[/tex]

Thus, the probability that both adults think most celebrities are good role models is 0.047.

(b)

Compute the probability that neither adult thinks most celebrities are good role models as follows:

[tex]P(X=0)={2\choose 0}(0.217)^{0}(1-0.217)^{2-0}\\=1\times 1\times 0.613089\\=0.613[/tex]

Thus, the probability that neither adult thinks most celebrities are good role models is 0.613.

(c)

Compute the probability that at least one of the two adults thinks most celebrities are good role models  as follows:

[tex]P(X\geq 1)=1-P(X<1)\\=1-P(X=0)\\=1-0.613\\=0.387[/tex]

Thus, the probability that at least one of the two adults thinks most celebrities are good role models  is 0.387

Answer:

-1 1/20.

Step-by-step explanation:

0.05 = 5/100

= 1/20

So -1.05 = -1 1/20.

Answer:

7(y+2)=6

Step-by-step explanation:

its right

Answer:

5x-5

Step-by-step explanation:

add the expression and simplify 2x - 1 + 3 x  -4 add 2x and 3x

5x-1-4 subtract 4 from -1

equals 5x-5

Answer:

Multiply 7 by 3.

Step-by-step explanation:

In PEMDAS, parenthesis, exponents, multiply, divide, addition, subtratcion, you start with parenthesis first. Then you look inside the parenthesis, and ythere is no division problems. So you do the multiplication inside the parenthesis.

Answer:

The 95 confidence interval   is  [tex]9.738  <  \mu < 10.262 [/tex]

Step-by-step explanation:

The sample size is  n  =  7

 The sample data  is  9.8, 10.2, 10.4, 9.8,10.0, 10.2, and 9.6 liters

Generally the sample mean is mathematically represented as

            [tex]\= x = \frac{\sum x_i }{n }[/tex]

=>          [tex]\= x = \frac{ 9.8 + 10.2 + 10.4 +\cdots + 9.6}{7 }[/tex]

=>          [tex]\= x = 10[/tex]

Generally the standard deviation is mathematically represented as

       [tex]\sigma = \sqrt{\frac{\sum ( x_i - \= x)^2 }{n-1} }[/tex]

=>    [tex]\sigma = \sqrt{\frac{ ( 9.8 - 10)^2 + ( 10.2 - 10)^2+ \cdots + ( 9.6 - 10)^2}{7-1} }[/tex]  

=>    [tex]\sigma =0.283[/tex]

Note : We are making use of t distribution because n is small i.e n < 30

Generally the degree of freedom is mathematically represented as

       [tex]df = n - 1[/tex]

=>     [tex]df = 7 - 1[/tex]

=>     [tex]df = 6[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of   at a degree of freedom of    is  

   [tex]t_{\frac{\alpha }{2}, 6 } =  2.447 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2} , 6} *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.447  *  \frac{0.283}{\sqrt{7} }[/tex]

=>    [tex]E =  0.262 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]10 -0.262 <  \mu <10 + 0.262[/tex]

=>    [tex]9.738  <  \mu < 10.262 [/tex]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

A friend of mine is giving a dinner party. His current wine supply includes 8 bottles of zinfandel, 10 of merlot, and 12 of cabernet (he only drinks red wine), all from different wineries. a. If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? b. If 6 bottles of wine are to be randomly selected from the 30 for serving, how many ways are there to do this? c. If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? d. If 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? e. If 6 bottles are randomly selected, what is the probability that all of them are the same variety?

Solution:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]

Permutation is the number of ways to select k items from n distinct items in a specific order.

The formula to compute the permutation or arrangement of k items is:

 [tex]^{n}P_{k}=\frac{n!}{(n-k)!}[/tex]

(a)

The number of ways to serve 3 bottles of zinfandel, with a specific order is:

[tex]^{8}P_{3}=\frac{8!}{(8-3)!}=\frac{8\times7\times6\times5!}{5!}=336[/tex]

(b)

The number of ways to select 6 bottles from the 30 is:

[tex]{30\choose 6}=\frac{30!}{6!(30-6)!}=\frac{30!}{6!\times 24!}=593775[/tex]

(c)

The number of ways to select two bottles of each variety is:

[tex]{8\choose 2}\times {10\choose 2}\times {12\choose 2}=\frac{8!}{2!\times6!}\times \frac{10!}{2!\times8!}\times \frac{12!}{2!\times10!}[/tex]

                         [tex]=\frac{12!}{(2!)^{3}\times 6!}\\\\=83160[/tex]

(d)

Compute the probability of selecting two bottles of each variety if 6 bottles are selected:

[tex]P(\text{2 bottles of each})=\frac{83160}{593775}=0.14[/tex]

(e)

Compute the probability of selecting the same variety of bottles, if 6 bottles are selected:

[tex]P(\text{Same Variety})=\frac{{8\choose 6}+{10\choose 6}+{12\choose 6}}{{30\choose 6}}[/tex]

                           [tex]=\frac{28+210+924}{593775}\\\\=0.0019570\\\\\approx 0.002[/tex]

Answer:

a) The function is equal to 0 when [tex]x = 0[/tex].

b) The function is equal to 30 when [tex]x = 3[/tex].

c) The function is equal to -12 when [tex]x = -3[/tex].

d) The function is equal to [tex]a\cdot (a+7)[/tex] when [tex]x = a[/tex].

e) The function is equal to [tex]x\cdot (x-7)[/tex] when [tex]x = -x[/tex].

Step-by-step explanation:

To this respect we must keep in mind that this exercise consists in evaluating given function at different values. Let [tex]f(x) = x^{2}+7\cdot x[/tex] the function to be evaluated:

a) [tex]x = 0[/tex]

[tex]f(0) = 0^{2}+7\cdot (0)[/tex]

[tex]f(0) = 0[/tex]

The function is equal to 0 when [tex]x = 0[/tex].

b) [tex]x = 3[/tex]

[tex]f(3) = 3^{2}+7\cdot (3)[/tex]

[tex]f(3) = 30[/tex]

The function is equal to 30 when [tex]x = 3[/tex].

c) [tex]x = -3[/tex]

[tex]f(-3) = (-3)^{2}+7\cdot (-3)[/tex]

[tex]f(-3) = -12[/tex]

The function is equal to -12 when [tex]x = -3[/tex].

d) [tex]x = a[/tex]

[tex]f(a) = a^{2}+7\cdot a[/tex]

[tex]f(a) = a\cdot (a+7)[/tex]

The function is equal to [tex]a\cdot (a+7)[/tex] when [tex]x = a[/tex].

e) [tex]x = -x[/tex]

[tex]f(-x) = (-x)^{2}+7\cdot (-x)[/tex]

[tex]f(-x) = x^{2} -7\cdot x[/tex]

[tex]f(-x) = x\cdot (x-7)[/tex]

The function is equal to [tex]x\cdot (x-7)[/tex] when [tex]x = -x[/tex].

Answer:

- 5

Step-by-step explanation:

Step 1:

g ( x ) = - 3x + 1      Function

Step 2:

g ( x ) = - 3 ( 2 ) + 1       Input x

Step 3:

g ( x ) = - 6 + 1      Multiply

Answer:

g ( x ) = - 5      Add

Hope This Helps :)

Complete question :

The regression equation y = 4x + 20 approximates the number of people attending a picnic, y, given the number of flyers used to advertise it, x.

Which statement is true?

a.) For every extra person attending a picnic, the number of flyers used to advertise it increases by 20.

b.) For every extra person attending a picnic, the number of flyers used to advertise it increases by 4.

c.) For every extra flyer used in advertising, the attendance increases by 20 people.

d.) For every extra flyer used in advertising, the attendance increases by 4 people.

Answer: d.) For every extra flyer used in advertising, the attendance increases by 4 people.

Step-by-step explanation:

Given the regression equation; y = 4x + 20;

Where y = number of people attending a picnic

x = number of flyers used to advertise it

In the equation;

y = predicted variable ; x = predictor variable ; gradient or slope = 4

The slope or gradient is the rate of change un the response variable with respect to a unit change in the independent variable.

Here, the slope value is +4 and is thus interpreted to mean that, for each 1 unit change in the independent variable (number of flyers shared), there is a corresponding increase in the response variable (number of attendees) by a unit of 4.

Answer:

d.) For every extra flyer used in advertising, the attendance increases by 4 people.

Step-by-step explanation: