i need help on 8-9 plss :))

Using the binomial distribution, it is found that:

a) The expression is [tex]\left(\frac{364}{365}\right)^{n}[/tex]

b) You need to select at least 587 people.

For each person, there are only two possible outcomes, either they share your birthday, or they do not. The probability of a person sharing your birthday is independent of any other person, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

There are 365 days in a non-leap year, hence, the probability of each person sharing your birthday is [tex]p = \frac{1}{365}[/tex]

Item a:

This probability is P(X = 0), hence:

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

[tex]P(X = 0) = C_{n,0}.\left(\frac{1}{365}\right)^{0}.\left(\frac{364}{365}\right)^{n} = \left(\frac{364}{365}\right)^{n}[/tex]

Hence, the expression is [tex]\left(\frac{364}{365}\right)^{n}[/tex]

Item b:

The probability that at least one person shares your birthday is:

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

We want that:

[tex]P(X \geq 1) \geq 0.8[/tex]

Hence:

[tex]1 - P(X = 0) \geq 0.8[/tex]

[tex]P(X = 0) \leq 0.2[/tex]

Hence:

[tex]\left(\frac{364}{365}\right)^{n} \leq 0.2[/tex]

[tex]n\log{\left(\frac{364}{365}\right)} \leq \log{0.2}[/tex]

[tex]n \geq \frac{\log{0.2}}{\log{\left(\frac{364}{365}\right)}}[/tex]

[tex]n \geq 586.6[/tex]

Rounding up: You need to select at least 587 people.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Answer:

0.2424

Step-by-step explanation:

Total number of fish = 33

Total number of tagged fish = 2

Each fish has equal probability of being caught (remember that the focus is on the second stage of fish selection) and that probability is 1/33 = 0.0303

- When the question says at least 4 and at most 8 are tagged fish, it means that 4/8 or 1/2 or half of the fish selected were tagged fish. This gives us the figure to use in computation.

- So first of all, the probability that a fish caught is a tagged fish is (1/33) x 2

which is = 0.0303 x 2  =  0.0606

Now if 8 fish were caught and we want to know the probability that at least half of the eight fish (which is 4 fish) were tagged fish, what do we do?

- Multiply the probability of picking a tagged fish by 4; since each fish is replaced before the next selection.

0.0606 x 4  =  0.2424

Answer:

I think A) Answer a customer inquiry

Step-by-step explanation:

Because customers come first

Answer:

x+3

Step-by-step explanation:

Kofi is 3 years older than Ama, so the answer is "x+3".

Answer:

one property of log is that if the log expressions have the same base (in this case, 2), then you can multiply the added logs.

The answer would then be D

Answer:

1.34 cannot be a correlation coefficient

Step-by-step explanation:

The correlation coefficient must be between (and can include) -1 to 1

1.34 is not  between -1 and 1

Answer:

17 don't play any

Step-by-step explanation:

12+9+8+4=33

33-50=17

Let missing side be x

Using basic proportionality theorem

[tex]\\ \sf\longmapsto \dfrac{6}{4}=\dfrac{x}{20-x}[/tex]

[tex]\\ \sf\longmapsto 6(20-x)=4x[/tex]

[tex]\\ \sf\longmapsto 120-6x=4x[/tex]

[tex]\\ \sf\longmapsto 120=6x+4x[/tex]

[tex]\\ \sf\longmapsto 120=10x[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{120}{10}[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]

Answer:

48 cm²

Step-by-step explanation:

shaded area = area of rectangle - area of triangle

area of rectangle = 7 × 8 = 56 cm²

area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 7 - 3 = 4 cm and h = 8 - 4 = 4 cm

area of triangle = [tex]\frac{1}{2}[/tex] × 4 × 4 = 2 × 4 = 8 cm²

Then

shaded area = 56 - 8 = 48 cm²

Answer:

B. One of the populations is normally distributed.

Step-by-step explanation:

To test a claim about two population standard deviation or variance, it is imperative that the data meets certain requirements which include :

Randomness : Data must not be biased as such it must be drawn as a random sample from a larger group.

The data must be independent. That is not related to one another, the outcome of one should not rely on the outcome or value of another.

Both groups must be drawn From a population which is normally distributed.

One group being normally distributed by stribuyed while the other isn't a requirement for hypothesis testing in this scenario.

Answer:

71

Step-by-step explanation:

Initial angle lies in 4th quadrant

Answer:

I hope this helps

you have to.first draw a number line and mark where the given numbers are

Answer:

3 dollars per pound

Step-by-step explanation:

Unit Price = Cost / Pounds of oranges

Unit Price = 12 / 4

Unit Price = 3

The unit price per pound is $3

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine or tangent.

Remember: SOH-CAH-TOA

Looking from the given angle, we want to find the opposite side and we know the hypotenuse. Therefore, we should use sine.

sin(51) = BC / 58

BC = 58 x sin(51)

BC = 45.1 units

Hope this helps!

Step-by-step explanation:

Hey there!

From the above given figure;

Angle CAB = 51°

AB = 58

Taking Angle CAB as reference angle we get;

Perpendicular (p) = BC= ?

Hypotenuse (h) = 58

Now;

Taking the ratio of sin we get;

[tex] \sin( \alpha ) = \frac{p}{h} [/tex]

[tex] \sin(51) = \frac{bc}{58} [/tex]

Simplify it;

0.7771459*58 = BC

Therefore, BC = 45.0744.

Hope it helps!

Answer:

see below

Step-by-step explanation:

amount of water w

l liter of pure alcohol = 100% alcohol

solution is 45 % percent alcohol

total amount of fluid is w+l

(w+l)( .45) = l*.100

Distribute

.45w  + .45 l = 1l

.45 w = 1l - .45l

.45 w = .55l

w = .55l / .45

w =11/9 l

Answer:[tex]n=\frac{58}{31}[/tex]

Step-by-step explanation:

[tex]124n=232\\\frac{124n}{124}=\frac{232}{124}\\n=\frac{232}{124}=\frac{58}{31}[/tex]

The value of n is 18.75. To find the value of n, we need to solve the equation: 124n = 232 five

Let's first convert "232 five" into a numerical value:

"232 five" means 2325 (since five is in the units place).

Now, the equation becomes:

124n = 2325

To solve for n, divide both sides of the equation by 124:

n = 2325 / 124

Now, perform the division:

n = 18.75

So, the value of n is 18.75.

To know more about equation:

https://brainly.com/question/10724260

#SPJ2

Answer:

ask in English then I can help u

In a unit circle a line reaching from origin to the circle's circumference specifies the trigonometric functions.

A point where the line which comes from origin to the circumference intersecting it has coordinates [tex](\cos\theta,\sin\theta)[/tex].

In our case [tex]\theta=45^\circ[/tex] which lifts the line up by 45 degrees and makes it intersect circumference at [tex](\cos45^\circ,\sin45^\circ)[/tex].

In the upper right quadrant the angle between x and y axis is 90 degrees so a line coming in at angle of 45 degrees would split the quadrant in half, that means sine and cosine 45 degrees will be equal.

As you may noticed a point has coordinates cos, sin which means the distance between 0 and y coordinate where the point on a circle is, is called [tex]\cos\theta=\cos45^\circ[/tex].

Because cosine 45 degrees is so simple in interpretation it has a known value of [tex]\cos45^\circ=\sin45^\circ=\frac{\sqrt{2}}{2}[/tex].

Hope this helps :)

Answer:

Sinx = 21/40

x = inverse of sin (21/40)

x= 31.6682

hope u got it

Answer:

31.6 degrees

Step-by-step explanation:

sin-¹(p/h) = 31.6

Answer:

hello the answer is .04/0.04

Answer:

.04 is four hundredths

Step-by-step explanation:

I hope this helps

Answer:

7 and 4

Step-by-step explanation:

when you multiply 7×4 the answer is 28 and when you add them the answer is 11.

I hope this helps

Answer:

4 and 7

Step-by-step explanation:

xy = 28 ..........1

x + y = 11........2

x = 11 - y.........3

substitute 3 in 1:

(11 - y)*y = 28

-y² + 11y - 28 = 0

y² - 11y + 28 = 0

( y - 7)( y - 4) = 0

y = 7 or y = 4

subs in 2:

x = 4 or x = 7

pairs: (4 ; 7) and (7 ; 4)

Answer:

1st option

Step-by-step explanation:

Evaluate f(- 5) then substitute the value obtained into g(x)

f(- 5) = - 2(- 5) - 7 = 10 - 7 = 3 , then

g(3) = - 4(3) + 6 = - 12 + 6 = - 6

Answer:

2.665 < σ < 3.379

Step-by-step explanation:

Given :

s = 2.97

Sample size, n = 60

α = 80%

χ² Critical value (two - tailed), df = (60-1) = 59

χ² = 45.577 ; χ² = 73.279

The 80% confidence interval for the standard deviation :

s * √(n - 1) / χ² critical

2.97 * √(60 - 1) / 73.279 < σ < 2.97 * √(60 - 1) / 45.577

2.665 < σ < 3.379

9514 1404 393

Answer:

  398.2 cm²

Step-by-step explanation:

The area of the whole circle is ...

  A = πr²

  A = π(13 cm)² = 169π cm²

The 270°  sector is 3/4 of the whole circle, so its area is ...

  sector area = (3/4)(169π cm²) ≈ 398.2 cm²

Answer:

The distance from the vertex to the directrix.

Step-by-step explanation:

According to this question, we are speaking about a parabola, which has the characteristic that the distance from the vertex to the focus is equal to the least distance from the vertex to the directrix.

Hence, the right answer is: The distance from the vertex to the directrix.

Step-by-step explanation:

x= Number of small pages

y= Number of full pages

1 x + 1 y = 21 .............1

Total words

1200 x + 1500 y = 27000 .............2

Eliminate y

multiply (1)by -1500

Multiply (2) by 1

-1500 x -1500 y = -31500

1200 x + 1500 y = 27000

Add the two equations

-300 x = -4500

/ -300

x = 15

plug value of x in (1)

1 x + 1 y = 21

15 + y = 21

y = 21 -15

y = 6

y = 6

x= 15 Number of small pages

y= 6 Number of full pages

Answer:

-4

Step-by-step explanation:

a1 = -8

an = an-1 +2

a2 = a1+2 = -8+2 = -6

a3 = a2+2 = -6+2 = -4

Answer:

[tex]P(Z\leq2.89)=0.9981[/tex]

Step-by-step explanation:

Sample size [tex]n=200[/tex]

Rental Rate [tex]R=60\%[/tex]

Probability =(P<140)

Generally the equation for mean of distribution is mathematically given by

[tex]\mu=nR\\\\\mu=200*0.60\\\\\mu=120[/tex]

Generally the equation for Standard deviation of distribution is mathematically given by

[tex]\sigma=\sqrt{npq}[/tex]

[tex]\sigma=\sqrt{200*0.60*0.40}[/tex]

[tex]\sigma=6.9[/tex]

Therefore

Z-score for x=140 is

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

[tex]Z=\frac{140-120}{6.9}[/tex]

[tex]Z=2.89[/tex]

From table

[tex]P(Z\leq2.89)=0.9981[/tex]

parabolas are there on my hand palms and it must be there on your hands too but why are you asking this question?