shuffle a standard deck of 52 playing cards. turn over the top card. put the card back in the deck and shuffle again. repeat this process until you get a queen. count the number of cards you had to turn over. which conditions for a binomial setting have been met for this scenario?

let's first off, convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{6\frac{7}{10}} \implies \cfrac{6\cdot 10+7}{10} \implies \stackrel{improper}{\cfrac{67}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}-\cfrac{67}{10}\implies \cfrac{(2)42~~ - ~~(1)67}{\underset{\textit{using this LCD}}{10}}\implies \cfrac{84-67}{10}\implies \cfrac{17}{10}\implies 1\frac{7}{10}\)

Answer:

12.5a + 6s = 264.5   and   a + s = 30

Step-by-step explanation:

They also intersect at (17, 13)

(17 student tickets, 13 adult tickets)

Good Luck!

Answer:

r = 9

Step-by-step explanation:

2 ( r - 1 ) + 3 = 19

2r - 2 = 19 - 3

2r - 2 = 16

2r = 16 + 2

2r = 18

r = 9

Answer:

I don't exactly know how to answer this, maybe I need more information. But if not, then all he can do is add one gallon of yellow paint and one gallon of blue paint. If that's all the paint he has, that is all he can add. Is there a diagram that's supposed to go with this? If not, hope I answered your quesiton.

It would take approximately 444.44 seconds (or 7 minutes and 24.44 seconds) after pumping has started for the alcohol concentration to reach 20% in the tank.

(a) Let V(t) represent the volume of alcohol in the tank at time t. Initially, the tank contains 0 volume of alcohol, so we have V(0) = 0. The rate at which alcohol is entering the tank is given as 0.1 m³/s, and the concentration of alcohol in the vodka is 90%. Therefore, the rate of change of the volume of alcohol in the tank over time can be expressed as: dV/dt = (0.1 m³/s) * (90%) = 0.09 m³/s

(b) To find the time it takes for the alcohol concentration to reach 20%, we need to solve the differential equation from part (a) and find the time t when V(t) = 0.2 * 200 m³. Integrating both sides of the equation from part (a), we have: ∫dV = ∫0.09 dt. Simplifying the integral, we get: V(t) = 0.09t + C. Using the initial condition V(0) = 0, we can solve for the constant C: 0 = 0.09(0) + C, C = 0. Thus, the equation for the volume of alcohol in the tank as a function of time t is: V(t) = 0.09t

To find the time when the alcohol concentration reaches 20%, we set V(t) = 0.2 * 200 m³: 0.09t = 0.2 * 200, 0.09t = 40, t = 40 / 0.09, t ≈ 444.44 seconds, Therefore, it would take approximately 444.44 seconds (or 7 minutes and 24.44 seconds) after pumping has started for the alcohol concentration to reach 20% in the tank.

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Step-by-step explanation:

y = 2/3x + 7

Multiply both sides by 3 to get rid of the fraction 2/3

3y = 2x +21

subtract 2x from both sides

3y - 2x = 21

Answer ofc is 3x - 2y = 21

Please rate if you get the answer right.

Answer:

true

Step-by-step explanation:

Answer:

True!

Step-by-step explanation:

Brainliest plz!

Answer:

1

Step-by-step explanation:

1

Answer:

2√41

Step-by-step explanation:

To find the diagonal, use Pythagorean theorem,

hypotenuse² = leg₁² + leg₂²

x² = 10² + 8²

   = 100 + 64

    = 164

x =√164

\(x = \sqrt{2*2*41}\\\\x=2\sqrt{41}\)

Answer:

5

Step-by-step explanation:

2x+5-5=15-5

2x/2=10/2

x=5

Answer:

The answer is 0.

Step-by-step explanation:

10q-10q can be subtracted due to the fact that they have the same variable, the answer would be zero as you are decreasing both by the same amount.

Answer:

\(0\)

Step-by-step explanation:

Let's simplify step-by-step.

\(10q -10q\)

\(=10q+-10q\)

\(= 0\)

Hi,

Answer:

\(Angle=\frac{pi}{4}\) = π/4 = 45°

Have a good day.

(a) To guarantee that at least 2 people have a birthday on the same day of the week, at least 8 people must be selected.

(b) To guarantee that at least 6 people have a birthday on the same day of the week, at least 43 people must be selected.

(a) To find the minimum number of people needed to guarantee that at least 2 of them have a birthday on the same day of the week, we can apply the Pigeonhole Principle.

There are 7 days of the week, so each person can have their birthday on one of these 7 days. If we select 8 people, then there are 8 pigeons (people) and 7 pigeonholes (days of the week). Since we have more pigeons than pigeonholes, by the Pigeonhole Principle, at least 2 people must have their birthday on the same day of the week.

(b) Similarly, to find the minimum number of people needed to guarantee that at least 6 of them have a birthday on the same day of the week, we apply the Pigeonhole Principle. Again, there are 7 days of the week, and each person can have their birthday on one of these 7 days.

If we select 43 people, then we have 43 pigeons (people) and 7 pigeonholes (days of the week). Since we have more pigeons than pigeonholes, by the Pigeonhole Principle, at least 6 people must have their birthday on the same day of the week.

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1 kg = 2.2 pounds ( rounded to the nearest tenth)

500 kg x 2.2 = 1,100 pounds

1100 pounds is less than 2,500 so the forklift can lift it.

Answer:

2,500= 1133.981

Step-by-step

The answer is 1133.981 bc you would have to use the conversion rate of lb to kg, so just 2500 lb × 0.45359237

= 1133.980925 kg

0.45359237  this is the conversion rate therefore 1134 is the answer (was rounded)

Answer:

3.750

Step-by-step explanation:

If Ian was at bat 15 times this means out of those 15 he only hit it 4

If he only hit it 4 times you've got to find the average by dividing both the numbers together 15 divided by 4 is 3.750

i think if i get this wrong im extremely sorry ive not done batting distance yet but i know there has to be 3 decimal places after it

Answer:

x = -10, 0

Step-by-step explanation:

Step 1: Write quadratic

x² + 10x = 0

Step 2: Complete the Square

x² + 10x + 25 = 25

(x + 5)² = 25

Step 3: Square root both sides

x + 5 = ±5

Step 4: Subtract 5 on both sides

x = -5 ± 5

x = -10, 0

Answer:

speed is 0.01 miles per minute

Step-by-step explanation:

We know speed = distance/time

since we need speed in miles per minute we need to convert KM into miles

and hours in minutes

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

distance = 5 km

1 km = 0.621371 miles

5KM = 5*0.621371 miles = 3.10686 miles = 3.12 miles(rounded to nearest hundredth)

1 hour = 60 minutes

4.5 hours = 4.5*60 minutes = 270 minutes

speed = distance in KM/time in minutes = 3.12 miles/270 minutes

speed = 0.012 miles per minute

rounding the answer to  the nearest hundredth

speed is 0.01 miles per minute

Answer:

-1 1/8

Step-by-step explanation:

-3/4 / -8/12

= -3/4 * -12/8

= -3*12 / -4*8

= -36/32

= -1 4/32

= -1 1/8

To determine the number of Mg2+ and PO3−4 ions required to form a neutral ionic compound, we need to consider the charges of the ions and their ratio in the compound.

In an ionic compound, the total positive charge must equal the total negative charge to achieve electrical neutrality. The Mg2+ ion has a charge of +2, indicating a loss of two electrons, while the PO3−4 ion has a charge of -3, indicating a gain of three electrons.

To form a neutral compound, the positive and negative charges must balance out. Since the charge of the Mg2+ ion is +2 and the charge of the PO3−4 ion is -3, the ratio between them must be such that the charges cancel out. This can be achieved by having three Mg2+ ions for every two PO3−4 ions.

Therefore, the number of Mg2+ ions required is three times the number of PO3−4 ions in order to achieve electrical neutrality in the compound.

It is important to note that the specific ratio and number of ions required may vary depending on the specific compound and its formula.

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Answer:

l9-7l is the answer

Step-by-step explanation:

Answer:

I and j I believe

Step-by-step explanation:

Answer:

cosine

Step-by-step explanation:

The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.

We have,

d=(2,4)

and e=(4k,3k)

Then,

d×e= (2 * 3k) - (4 * 4k) = -10k

Area of parallelogram = |d×e|

= |-10k|

= 10

As we know, area of parallelogram can also be given as,

|d×e| = |d||e| sin θ

where, θ is the angle between the two vectors.

Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ

⇒ 10 = √20 √25k^2 sin θ

⇒ 10 = 10k sin θ

∴ k sin θ = 1

Therefore, sin θ = 1/k

Hence, the value of k is 1.

Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,

| a . (b × c)|

Here, a=(1,1,2),

b=(5,3,λ), and

c=(4,4,0)

Therefore,

b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k

= -4i + 4λj + 8k

Now,| a . (b × c)|=| (1,1,2) .

(-4,4λ,8) |=| (-4 + 4λ + 16) |

=| 12 + 4λ |

Therefore, the volume of the parallelepiped is 12 + 4λ.

Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].

Here, a=(1,1,2) and

c=(4,4,0).

Then, a + c = (1+4, 1+4, 2+0)

= (5, 5, 2)

Now, projecting (a+c) onto c, we get,

projc(a+c) = [(a+c).c / |c|^2] c

= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)

= (4,4,0.5)

Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)

= (1,1,1.5)

Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).

Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

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Add the measurements to the drawing. Angle JEF and angle JFE both measure x degrees, while angle JED measures 180 - x degrees.

To find the measure of the base angles JEF and JFE in a trapezoid, we need to consider the fact that the opposite angles of a trapezoid are supplementary, meaning they add up to 180 degrees.

Since the trapezoid has two pairs of opposite angles, we can apply this property to solve for the base angles. Let's assume angle JEF measures x degrees. Since angle JEF is opposite to angle JFE, the measure of angle JFE is also x degrees.

Now, let's consider the other pair of opposite angles. Since the sum of the measures of the opposite angles is 180 degrees, the measure of angle JEF plus the measure of angle JED equals 180 degrees. Since angle JEF measures x degrees, we can set up the equation: x + JED = 180.

The given question is half of part , the full answer for the question is below.

To find the measure of JED, we subtract x from both sides: JED = 180 - x. Finally, we can add the measurements to the drawing. Angle JEF and angle JFE both measure x degrees, while angle JED measures 180 - x degrees.

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This algorithm efficiently finds all terms in a finite sequence of integers that are greater than the sum of all previous terms in the sequence.

To devise an algorithm that finds all terms of a finite sequence of integers that are greater than the sum of all previous terms of the sequence, follow these steps:

Start by defining the input sequence as a list or an array of integers. Let's call it `sequence`.

Initialize an empty list or array called `results` to store the terms that meet the condition.

Initialize a variable called `sum_of_previous_terms` and set its value to 0. This variable will be used to store the sum of all previous terms in the sequence as we iterate through it.

Loop through the sequence using a for loop, comparing each term with the sum of all previous terms.
  a. For each term in the sequence, compare it with the value of `sum_of_previous_terms`.
  b. If the term is greater than `sum_of_previous_terms`, add it to the `results` list or array.
  c. Update the value of `sum_of_previous_terms` by adding the current term to it.

Continue the loop until all terms in the sequence have been checked.

After the loop is completed, return the `results` list or array, which contains all the terms that meet the condition.

Here is the algorithm in a more concise form:

Input: `sequence` (a list or array of integers)

Initialize: `results` (an empty list or array), `sum_of_previous_terms` (0)

For each term in `sequence`:
  a. Compare the term with `sum_of_previous_terms`
  b. If term > sum_of_previous_terms, add term to `results`
  c. Update `sum_of_previous_terms` with the current term

Return `results`

This algorithm efficiently finds all terms in a finite sequence of integers that are greater than the sum of all previous terms in the sequence.

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Answer:

a) $26

b) 24.07%

c) $94.3

Step-by-step explanation:

Given that:

Before tax:

Normal price of dress = $62

Discounted price of dress = $48

Normal price of a pair of shoes = $46

Discounted price of a pair of shoes = $34

a) Before the sales tax, total savings = ($64 - $48) + ($46 - $34) = $26

b) Total percentage discount on total sales.

Total bill for original price = $62 + $46 = $108

Percentage discount can be found by the formula:

\(\dfrac{\text{Total discount}}{\text{Total bill for original price}}\times 100\\\Rightarrow \dfrac{26}{108} \times 100 = 24.07\%\)

c) Total amount paid if the sales tax is 15%.

Amount paid with tax = Amount after discount + 15% of amount after discount

Amount after discount = $48 + $34 = $82

15% of $82 = $18.29

Amount paid with sales tax = $82 + $12.3 = $94.3

Answer:

If the "-" after "3y" is a typo, then y = 8/7, x = 24/7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The vertex is at (-2,4), so substituting into vertex form, only C and D match.

Also, the graph opens down, so the coefficient of x² is negative.

This eliminates C, leaving us with D