Please help me out!! :)

Answer:

0.1183 = 11.83% probability that both of them have the secret decoder ring.

Step-by-step explanation:

The boxes are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[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]

In this question:

63 boxes means that [tex]N = 63[/tex]

22 have the secret decoder ring, which means that [tex]k = 22[/tex]

Two are selected, which means that [tex]n = 2[/tex]

What is the probability that both of them have the secret decoder ring?

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,63,2,22) = \frac{C_{22,2}*C_{41,0}}{C_{63,2}} = 0.1183[/tex]

0.1183 = 11.83% probability that both of them have the secret decoder ring.

Answer:

21.1660104885

Step-by-step explanation:

Tuve que buscarlo, no lo sabía

Answer:

Step-by-step explanation:

Do you not know that a triangle has 180 degrees in total. Pay attention in class geez.

Answer:

132

Step-by-step explanation:

Area of a triangle = [tex]\frac{bh}{2}[/tex]

where b = base and h = height

The following triangle has a base length of 33 m and a height of 8 m

Using this information we plug in the values into the formula

[tex]A=\frac{33*8}{2} \\33*8=264\\\frac{264}{2} =132[/tex]

hence, the area of the triangle is 132 square meters

Answer:

Base = 12

Step-by-step explanation:

Because

24 x 12 = 288 divide by 2 and you get are area 144

Answer:

4608

Step-by-step explanation:

24 x 12 x 16 = 4608

Answer:

the answer is c

Answer:

c

Step-by-step explanation:

make them improper fractions and add them later when you get your answer make it to a proper fraction

Answer:

b) all of the cupcakes in the bakery

Explanation:

in statistics, the population is a group of people/things that are in the same category for collecting data. c) and d) are thus wrong since no data is collected about the other goods or the employees, while a) is wrong because that is just a sample (which helps to test for a large population) and not the actual population.

i hope this helps! :D

Answer: B

Step-by-step explanation:

Answer:

-1 7/10 and -1.7

Step-by-step explanation:

Answe well this look complicated gimme some time

Step-by-step ex

you take 2pi and divide it by bits stolen from the equation its explained more in the screennshot

Answer: 238

Step-by-step explanation: 15% of 280 is 42 so subtract 42 from the number and it equals 238

Here's the solution,

By using Trigonometry :

=》

[tex] \sin(30) = \dfrac{7}{x} [/tex]

=》

[tex] \dfrac{1}{2} = \dfrac{7}{x} [/tex]

=》

[tex]x = 14[/tex]

hence, the value of x = 14 units

Answer:

14

Step-by-step explanation:

Answer:

The answer is 54

Step-by-step explanation:

36+90=126

180-126= 54

Answer:

54 degrees

Step-by-step explanation:

Answer:

1. C

2. D

Step-by-step explanation:

1.

Pattern A is adding by 2's (1 -> 3, 4 -> 6, 7 -> 9 and so on).

Pattern B is multiplying by 2's (2 -> 4, 3 -> 6, 4 -> 8 and so on).

2.

If 0.25 gallons of paint = 24 ft^2, then 1 gallon will equal?

Set up an equation:

Variable x = area of ft^2 for 1 gallon of paint

0.25/24 = 1/x

Cross multiply

0.25 × x = 24 × 1

0.25x = 24

To make calculations easier, you can convert the decimal into a fraction: 0.25 = 1/4

1/4x = 24

Multiply both sides by 4

1x = 96

x = 96 ft^2

Check your work:

0.25/24 = 1/96

0.25 × 96 = 24 × 1

24 = 24

Correct

Answer:

12.95a + 4.95 ≤ 75

Step-by-step explanation:

Given:

Cost of each DVD = $12.95

Total shipping fee = $4.95

Total amount as gift card = $75

Find;

Inequality

Computation:

Assume;

Number of DVD he purchase = a

So,

Total amount as gift card ≥ (Cost of each DVD)(Number of DVD he purchase ) + Total shipping fee

75 ≥ (12.95)(a) + 4.95

12.95a + 4.95 ≤ 75

Answer:

Cant see picture

Step-by-step explanation:

Answer:

D = L/k

Step-by-step explanation:

Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is

dA/dt = in flow - out flow

Since litter falls at a constant rate of L  grams per square meter per year, in flow = L

Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow

So,

dA/dt = in flow - out flow

dA/dt = L - Ak

Separating the variables, we have

dA/(L - Ak) = dt

Integrating, we have

∫-kdA/-k(L - Ak) = ∫dt

1/k∫-kdA/(L - Ak) = ∫dt

1/k㏑(L - Ak) = t + C

㏑(L - Ak) = kt + kC

㏑(L - Ak) = kt + C'      (C' = kC)

taking exponents of both sides, we have

[tex]L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt} (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k} - \frac{C"}{k} e^{kt}[/tex]

When t = 0, A(0) = 0 (since the forest floor is initially clear)

[tex]A = \frac{L}{k} - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k} - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k} - \frac{C"}{k} e^{0}\\\frac{L}{k} = \frac{C"}{k} \\C" = L[/tex]

[tex]A = \frac{L}{k} - \frac{L}{k} e^{kt}[/tex]

So, D = R - A =

[tex]D = \frac{L}{k} - \frac{L}{k} - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}[/tex]

when t = 0(at initial time), the initial value of D =

[tex]D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}[/tex]

Given:

Cost price of refrigerator = $11515

Discount rate 16% on its marked price.

Profit = 20%

To find:

The marked price of the refrigerator.​

Solution:

The cost price (C.P.) is $11515 and the profit percent is 20%. So, the selling price is:

[tex]S.P.=C.P.+20\%\text{ of }C.P.[/tex]

[tex]S.P.=11515+\dfrac{20}{100}(11515)[/tex]

[tex]S.P.=11515+2303[/tex]

[tex]S.P.=13818[/tex]

Let x be the marked price of the refrigerator.​ Then,

[tex]S.P.=x-16\%\text{ of }x[/tex]

[tex]13818=x-\dfrac{16}{100}x[/tex]

[tex]13818=x-0.16x[/tex]

[tex]13818=0.84x[/tex]

Divide both sides by 0.84.

[tex]\dfrac{13818}{0.84}=x[/tex]

[tex]16450=x[/tex]

Therefore, the marked price of the refrigerator is $16450.

Answer:

A sample of 6758 would be needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes.

This means that [tex]\pi = \frac{580}{1200} = 0.4833[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence?

This is n for which M = 0.01. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.01 = 1.645\sqrt{\frac{0.4833*0.5167}{n}}[/tex]

[tex]0.01\sqrt{n} = 1.645\sqrt{0.4833*0.5167}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.4833*0.5167}}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.4833*0.5167}}{0.01})^2[/tex]

[tex]n = 6757.5[/tex]

Rounding up:

A sample of 6758 would be needed.

Answer:

The answer to this is 47.5 degrees.

Step-by-step explanation:

To find the missing angle of a triangle, you must first understand what the known angles are. For this triangle you have 2 angles already known, the 42.5 degree angle, and the 90 degree angle. An angle will always be 90 degrees if it has that little square. When a triangle has a single 90 degree angle, that triangle will be a right triangle. the following angles will add up to 90 degrees, and so you can just take 90 and subtract 42.5 from it, to find the missing angle length of 47.5 degrees.

Hopefully this answers your question fully, if you need any more help just comment on this :)

Answer:

Step-by-step explanation:

Angle is x

Answer:

It is correct for 5. Incorrect for 6. Lastly, correct for 7.

Answer:

yes

no

yes

Step-by-step explanation:

you plug in the 3 into the x, because x=3 so therefore 3+5>7 which becomes 8>7. Is 8 more than 7? yes! so its true. For the next, 7>12, thats not true. And for the last one, 10-7<5, so 3<5, which is true.

Answer:

try 1.8 or .18

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the answer is get noob..........

Answer:

444.5 in³

Step-by-step explanation:

This is a quite interesting question.

Here are some formulas to help you,

Volume= L*b*h

Height = Volume/ L*b

Length= Volume/h*b

Breadth= Volume/l*h

For this question, we will consider the first formula.

Volume= Length* Breadth* Height

Volume= 5 in * 7 in * 12.7

Volume= 444.5 in³

Answer:

1:5

Step-by-step explanation:

5/5 and 25/5

so 1:5