the average height of 10 pupils is 140cm if a new pupil joined the group the average height of 11 pupils become 148
cm find the height of new pupils ​

The probability that exactly 5 out of the first 10 customers buy a magazine is 0.00126.

Given suspicion of 9.7% that buy a magazine is correct.

We have to find the probability that exactly 5 out of the first 10 customers buy a magazine. Probability is the chance of happening an event among all the events possible.

The binomial distribution is the probability of exactly x successes on n repeated trials and X can only have two outcomes.

[tex]P(X=x)=C_{n,x}p^{x} (1-p)^{n-x}[/tex]

In which [tex]C_{n,x}=n!/x!(n-x)![/tex]

And P is the probability of happening of X.

In the question 9.7% of his customers buy a magazine.

So the value of P=0.097

This can be calculated by :

P(X=5) when n=13

[tex]P(X=x)=C_{n,x} p^{x} (1-p)^{n-x}[/tex]

[tex]P(X=5)=C_{10,5} (0.097)^{5} (1-0.097)^{10-5}[/tex]

=[tex]P(X=5)=C_{10,5} (0.097)^{5} (0.903)^{5}[/tex]

[tex]=10!/5!5!*0.0000085*0.600397[/tex]

=252*0.00000510

=0.001286

Hence the probability that exactly 5 out of the first 10 customers buy a magazine is 0.001286.

Learn more about probability at https://brainly.com/question/24756209

#SPJ4

Answer:

Option 2 which is r^6

Step-by-step explanation:

You need to apply the exponent rules.

Since the r's are the same, you can subtract the exponents.

r^9 - r^3 = r^6

Notice that the bases ("r") stayed the same.

Answer: Choice [B] -r^6 ✅

Step-by-step explanation:

Hii!

Do you need to know the answer to your question? No problem!

We can use the Exponents' Property of division to work out the answer to this particular problem. (:

This property says that if you divide two numbers with the same base, you subtract their exponents.

Do we have the same base here? Yea', sure! The same variable can't stand for two different numbers in the same expression.

Let's work out the answer!

[tex]\LARGE\boldsymbol{r^9/r^3=r^{9-3}=r^6}[/tex]

Voila! There's our answer, cheers!

--

Hope that this helped! Best wishes.

--

Using the Poisson distribution, it is found that:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

In this problem, the mean is of [tex]\mu = 16[/tex], hence the probability of 15 patients in a day is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 15) = \frac{e^{-16}16^{15}}{(15)!} = 0.0992[/tex]

Hence the mean number of days in a month (30 days) with 15 patients visiting is given by:

M = 30 x 0.0992 = 2.976.

More can be learned about the Poisson distribution at https://brainly.com/question/13971530

#SPJ1

Answer:

Step-by-step explanation:

Comment

The shape consists of a rectangle on the bottom and a trapezoid on the top.

Rectangle

A rectangle has a very simple Area formula. It is Area = L*W. In this case the L = 14 m and is horizontal. The width is at right angles to the length and is marked as 3.

Area = L * w

L = 14

w = 3

Area = 14 * 3 =                            42 m^2

Trapezoid

The trapezoid is a bit more complicated and some things have to be found. First of all b1 is the first base of the trapezoid. It is parallel to and equal to  the Length of the rectangle. b2 is marked 10 meters. The height is just a bit more complicated. The total height of the figure is 8 m. You can't count the 3 m of the rectangle as part of the height because b1 comes only to the top of the rectangle. The height is 8 - 3 = 5

Area = 1/2(b1 + b2)*h/2

b1 = 14

b2 = 10

h = 8 - 3 = 5

Area = 1/2 ( 14 + 10) * 5 / 2

Area = 1/2 (24)*5

Area = 12 * 5

Area =                                          60 m^2

Total Area                                  102 m^2

Answer:

-x² + 3x + 7

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = (3x+1)-(x²-6) = -x² + 3x + 7

The value of (f - g)(x) is -x² + 3x + 7.

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

   f(x) = 3x + 1

   g(x) = x² - 6

Now,

 (f - g)(x) = f(x) - g(x)

              = (3x + 1) - (x² - 6)

              = 3x + 1 - x² + 6

(f - g)(x)  = -x² + 3x + 7

Thus, the value of (f - g)(x) is -x² + 3x + 7.

Learn more about Function from:

https://brainly.com/question/12431044

#SPJ1

Answer:

See attached file for answers and explanation.

Step-by-step explanation:

See attached image.

If x is the largest side :

If 4.1 is the greatest side :

Range of possible sizes for side 'x' :

Answer: 1/3 (if you have other questions like these you can use a slope calculator)

Answer:

Let the number be x

so, x/4 = x-3

x = 4(x-3)

x= 4x-12

x-4x = -12

-3x = -12

x= 12/3

x = 4

Step-by-step explanation:

Hope this helps! (:

Answer:

x = 114

Step-by-step explanation:

since the triangles are congruent, then corresponding angles are congruent, that is

∠ C = ∠ D

x + 18 = 132 ( subtract 18 from both sides )

x = 114

Answer: Answer below.

Step-by-step explanation: Attached is my work. Hope it is helpful!

Answer:

9:6:10

Step-by-step explanation:

Copper: Zinc: Tin= C:Z:T

C:Z:T

3:2

  3:5

3x3=9

3x2=6

5x2=10

so, Copper:Zinc: Tin= 9:6:10

Answer:

Abbly non of them your question is wrwon

The amount paid by sam will be 11526.75k for the meal.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

Sam pays 512 .75k less than the amount rob pays for his meal .ridwan pays three times the amount rob pays for his meal. if the total amount paid by them is 47,645.25k.

We will form an expression from the data given above in the question.

Amount paid by Sam  = ( r - 512.75 )

Amount paid by rob = r

( r - 512.75 ) + 3r = 47645.25

( r + 3r ) = 47645.25 + 512.75

4r = 48158

r = 12039.5

The amount paid by sam will be calculated as:-

S = r - 512.75

S = 12039.5 - 512.75

S = 11526.75

Therefore the amount paid by sam will be 11526.75k for the meal.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ1

Answer:

x=64

y=54

Step-by-step explanation:

3x+4y=24 4(24-4y\3)+3y=22

x=24-4y/3 96-12y\3+3y=22

x=24-4(54)/3

x=-64 96/3-22=3y/3

y=54

Answer:

x-intercept: (-5, 0)

y-intercept: (0, -4)

Step-by-step explanation:

The x-intercept is as the name implies when the line intersects the x-axis (the horizontal axis) or when y is equal to 0. If you look at the graph it intersects the x-axis at (-5, 0). The y-intercept follows the same concept except it's when it intersects the y-intercept (vertical axis) or when x is equal to 0. If you look at the graph it, it intersects the y-axis at (-4, 0).

Answer:

⇒ π and √ 78

Rational number:

A number that can be expressed exactly by a ratio of two integers. Integer is usually defined as one of the positive or negative numbers 1, 2, 3, etc., or zero. An example of a rational number is a repeating decimal. A repeating decimal is a decimal numeral that, after a certain point, consists of a group of one or more digits repeated as infimum, as 2.33333.... or 23.0218181818...

Irrational number:

A number that cannot be exactly expressed as a ratio of two integers. An example is a infinite decimal which is a nonterminating decimal, a decimal numeral that does not end in an infinite sequence of zeros (contrasted with terminating decimal). Example: 2.3459810212901....

_________________________

Rational numbers.

The number 9/15 is equal to 0.6 which is a terminating decimal and is therefore, rational.

18 is a whole number and integer making it rational.

9 is a integer and a whole number = rational.

169 is a integer and whole number = rational.

_____________________________________

Irrational numbers.

√78 ≈ 8.831760866

This decimal is a nonterminating decimal that does not terminate nor repeat making it irrational.

Now onto Pi/π which is the 16th letter of the Greek alphabet and is a known-irrational number. The ratio itself: 3.141592+. The letter is used as the symbol for the ratio of the circumference of a circle to its diameter.

It relates to how pi is computed. Pi is equal to the circumference of a circle, which may be calculated by placing an n-gon within a circle. However, when the sides of the n-gon are raised, the value of pi varies every time you divide it by the diameter of the circle, therefore it is impossible to get the exact value of pi. Additionally, irrational numbers never finish or repeat their decimal expansion, therefore they cannot be tallied as 2, 3, and so on.

_____________________________________

Therefore, the number that are irrational is π and √78.

Answer:

(−∞,1)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because.............

Answer:

B: 3/4a + 1/2b - 3

Step-by-step explanation:

Answer:

They are being multiplied by 2 each time.

Step-by-step explanation:

The X values are going up by 1 and every time X goes up by 1, Y doubles. So (1,2) goes to (2,4) and then (3,8) etc.

Answer: -24

Step-by-step explanation:

See attached image.

The formula for number of buses per person is b = p/50

This is a way of using a variable to represent other variables in a function.

Given the expression

p = kb

If k = 50, then;

p = 50b

Make b the subject of the formula

p/50 = 50b/50
b = p/50

Hence the formula for number of buses per person is b = p/50
Learn more on subject of formula here: https://brainly.com/question/21140562

#SPJ1

Answer:

The correct answer would be 20.92

The highest common factor is [tex]\boxed{y}[/tex].

Answer:

Like radicals are those terms that are similar, just like like terms. From this concept we find that option A is correct. 4[∛(7x)] and ∛(7x) are like radicals.

Step-by-step explanation:

Mathematically, like radicals are just like like terms. For example,

x, 2x, -10x, , 7.3x are like terms because the power of x in each case is 1.

xy², -9xy², 13y²x are like terms because the total power of each expression is 3.

Similarly, like radicals are:

√2, -5√2, 1.1√2, etc.

Hence, from the given options, like radical to ∛(7x) is: 4[(7x)].

For more explanation, refer the following link:

https://brainly.com/question/11677568

#SPJ10

Answer:

in this form the first one next to the x is the slope and the added value is the y intercept

if something is parrell that means the same slop so

3/4

Hope This Helps!!!

Answer:

10x^3 - 2x^2 -7

Step-by-step explanation:

To subtract polynomials, you want to subtract the biggest exponent from the first polynomial to the second

so 6x^3 + 4x^3 and that would be 10x^3

then -3x^2 + x^2 and the negative is larger so it would be -2x^2

and finally -2 + -5 and that is -7

hope this helps! :)