Indra was is wrapping the blocks below how much wrapping paper does she need

Answer:

a) The probability that at least 2 of them started smoking before 21 years of age is 0.1875 = 18.75%.

b) The probability that at most 4 of them started smoking before 21 years of age is 0.96875 = 96.875%.

c) The probability that exactly 3 of them started smoking before 21 years of age is 0.3125 = 31.25%.

Step-by-step explanation:

For each smoker, there are only two possible outcomes. Either they started smoking before 21 years old, or they did not. Smokers are independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability 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}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

50% of adult smokers started smoking before 21 years old.

This means that [tex]p = 0.5[/tex]

5 smokers 21 years old or older are randomly selected, and the number of smokers who started smoking before 21 is recorded.

This means that [tex]n = 5[/tex].

a) The probability that at least 2 of them started smoking before 21 years of age is

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

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

[tex]P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125[/tex]

[tex]P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.03125 + 0.15625 = 0.1875[/tex]

The probability that at least 2 of them started smoking before 21 years of age is 0.1875 = 18.75%.

b) The probability that at most 4 of them started smoking before 21 years of age is

This is:

[tex]P(X \leq 4) = 1 - P(X = 5)[/tex]

In which

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

[tex]P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125[/tex]

[tex]P(X \leq 4) = 1 - P(X = 5) = 1 - 0.03125 = 0.96875[/tex]

The probability that at most 4 of them started smoking before 21 years of age is 0.96875 = 96.875%.

c) The probability that exactly 3 of them started smoking before 21 years of age is

This is P(X = 3). So

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

[tex]P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125[/tex]

The probability that exactly 3 of them started smoking before 21 years of age is 0.3125 = 31.25%.

Answer:

- Top Hat

- 14

- 37

Step-by-step explanation:

Answer:

15H = D

Step-by-step explanation:

Given that Louis makes $ 15 per hour working at the mall, to determine which equation represents the total amout of money, D, Louis makes in H hours, the following calculation must be performed:

15H = D

So, for example, if Louis worked 10 hours, the equation would operate as follows:

15 x 10 = D

150 = D

Answer:

12inches

Step-by-step explanation:

Answer:

-$7

Step-by-step explanation:

20 - 15 = 5

5 + 5 = 10

10 - 10 = 0

0 - 7 = -7

Answer:

1/12

Step-by-step explanation:

3/36=1/12

Step-by-step explanation:

If it's a straight line the use formula

[tex]y = mx + c[/tex]

m= gradient of line

c = y-intercept

we know that y-intercept is 4 so coordinate is

(0,4)

Equation also passes (2,10)

Use both coordinate to find gradient

m= vertical distance / horizontal distance

= (10-4) / (2-0)

= 3

y = 3x + 4

Answer:

B would be 72 using a^2+b^2=c^2

Step-by-step explanation:

30^2 + x =78^2

in other words

900 + x =6084

6084-900= 5184

The square root of 5184 is 72

9514 1404 393

Answer:

  1/12 box

Step-by-step explanation:

Each brother gets 1/4 of the remaining 1/3 box, so ...

  (1/4)(1/3 box) = 1/(4·3) box = 1/12 box

Each brother gets 1/12 of the original box.

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs 240 plants in the garden

Answer:

y=90 when x=4

Step-by-step explanation:

We are given that

[tex]y\propto (x+2)^2[/tex]

When x=8 and y=250

We have to find the value of y when x=4

[tex]y=k(x+2)^2[/tex]

Where k= Proportionality constant

Substitute the values

[tex]250=k(8+2)^2[/tex]

[tex]250=100k[/tex]

[tex]k=\frac{250}{100}[/tex]

[tex]k=5/2[/tex]

Now, substitute x=4 and k=5/2

Then, we get

[tex]y=\frac{5}{2}(4+2)^2[/tex]

[tex]y=\frac{5}{2}\times 36[/tex]

[tex]y=90[/tex]

Answer:

[tex]sin^{-1}(\frac{51}{53})\\=74.21\\[/tex]

≈74

The radius divides the diameter into 2, and the radius of the circle is 16 units

The radius of the circle and the tangent line meet at a right angle.

This means that:

CE² = r² + DE² ------ Pythagoras theorem

So, we have:

34² = r² + 30²

Evaluate the squares

1156 = r² + 900

Rewrite as:

r² = 1156 - 900

Evaluate

r² = 256

Take the square root of both sides

r = 16

Hence, the radius of the circle is 16 units

Read more about radius at:

https://brainly.com/question/9554871

#SPJ2

Answer:

1.875

Step-by-step explanation:

The rate of change is the derivative of the function.

[tex]f(x) = \frac{10}{x-4}\\\\f'(x)=10\times \frac {d}{dx}\frac{1}{x-4}\\\\f'(x)=\frac{-10}{(x-4)^{2}}\\\\f'(2) = \frac{-10}{(2-4)^{2}} =-2.5\\\\f'(8)= \frac{-10}{(8-4)^{2}} =-0.625\\[/tex]

So, the rate of change is

f'(8) -  f'(2) = - 0.625 + 2.5 = 1.875

Answer:

7:55 PM

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Alternate interior angles.

Step-by-step explanation:

Step-by-step explanation:

19+k=90°

k=90-17

k=71°

Answer:

No

Step-by-step explanation:

A matched pair design is used when we have two different observation about a certain experiment for each subject such that there is a natural pairing between the two population.

In the scenario described above, we have 20 subjects of which 10 are boys and 10 are girls.

Matching boys and girls having similar numbers does not depict natural pairing and thus using a matched paired test would be inappropriate. The test to use for such experiment is the two population t test.

Answer:

14/100*1800

25200/100

252

Step-by-step explanation:

therefore vat=252

Answer:

21

Step-by-step explanation:

Answer:

[tex]d = 0.112* 10^3[/tex]

Step-by-step explanation:

Given

[tex]h = 8.4 * 10^3[/tex]

[tex]d = \sqrt{\frac{3h}{2}}[/tex]

Required

Find d

We have:

[tex]d = \sqrt{\frac{3h}{2}}[/tex]

Substitute: [tex]h = 8.4 * 10^3[/tex]

[tex]d = \sqrt{\frac{3*8.4 * 10^3}{2}}[/tex]

[tex]d = \sqrt{\frac{25.2 * 10^3}{2}}[/tex]

[tex]d = \sqrt{12.6 * 10^3}[/tex]

Express as:

[tex]d = \sqrt{1.26 *10* 10^3}[/tex]

[tex]d = \sqrt{1.26 *10^4}[/tex]

Split

[tex]d = \sqrt{1.26} *\sqrt{10^4}[/tex]

[tex]d = 1.122* 10^2[/tex]

To write in form of: [tex]a * 10^b[/tex]

The value of a must be: [tex]0 \le a \le 1[/tex]

So, we have:

[tex]d = 0.1122* 10 * 10^2[/tex]

[tex]d = 0.1122* 10^3[/tex]

Approximate

[tex]d = 0.112* 10^3[/tex]

Answer: c

Step-by-step explanation: because yes

Answer:

d po answer

yan po sinagot ko

hehe

====================================================

Explanation

Consider three scenarios:

These scenarios cover all the possible cases of what x could be. It's either the min, the max, or somewhere in between the min and max.

--------------------

We'll start with scenario A.

If x is the min, then that must mean 39 is the max as it's the largest of the set {18, 36, 16, 39, 27, 8, 34}

The range is 56, so,

range = max - min

56 = 39 - x

56+x= 39

x = 39-56

x = -17  which is one possible answer

--------------------

If instead we go with scenario B, then x is the max and 8 is the min

range = max - min

56 = x - 8

56+8 = x

64 = x

x = 64 is the other possible answer

--------------------

Lastly, let's consider scenario C. If x is not the min or the max, then it's somewhere between the min 8 and max 39. in short, 8 < x < 39.

Note that range = max - min = 39-8 = 31 which is not the range of 56 that we want. So there's no way scenario C can be possible here.

Answer:

Step-by-step explanation:Herely/3fcEdSx's li[tex]^{}[/tex]nk to the answer:

bit.[tex]^{}[/tex]

Answer:

no

Step-by-step explanation:

Answer:

461.6 ft³

Step-by-step explanation:

V(cone) = 1/3πr²h

= 1/3π(7²)(9)

= 49·3π

= 147(3.14)

= 461.6 ft³

Answer:

kkkkkk

Step-by-step explanation:

Answer:0.75

Step-by-step explanation:

trust me

Answer:

5[tex]ft^2[/tex] is the area of the original piece of fabric.

Step-by-step explanation:

0.625 x 8 = 5