Jacob collects hats. He has 6 hats already and collects 2 more hats each week. How many week would it take Jacob to collect 32 hats?

The probability of being issued the license plate q h l t 9 1 is very low because there are a total of 456,976 possible combinations (26 letters for the first slot, excluding o, multiplied by 26 letters for the second slot.

multiplied by 26 letters for the third slot, multiplied by 26 letters for the fourth slot, multiplied by 10 numbers for the fifth slot, and multiplied by 10 numbers for the sixth slot). Therefore, the probability of being issued a specific license plate like q h l t 9 1 is 1 in 456,976.

To find the probability of being issued the license plate QHLT91, we need to calculate the probability of each character being selected and then multiply those probabilities together.

1. There are 25 available letters (26 minus the letter O) for the first four characters. The probability of getting Q, H, L, and T are all 1/25.
2. There are 10 possible numbers (0-9) for the last two characters. The probability of getting 9 and 1 are both 1/10.

Now, let's multiply the probabilities together:

(1/25) * (1/25) * (1/25) * (1/25) * (1/10) * (1/10) = 1 / 39,062,500

So, the probability of being issued the license plate QHLT91 in Florida is 1 in 39,062,500.

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Answer:

There you go

Just rearrange the terms in a way that we get a whole square form at one side and a^2 - b^2 form from it.

The relation between mode, mean and median is:

mode=3median-2mean

Now, to find mean:

2mean=3median-mode

mean=7/2 = 3.5

Let we wish to evaluate the mean  μ of a population. In real practice we would typically take just one sample. Imagine still that we take sample after sample, all of the same size n, and compute the sample mean x¯ every time.

The sample mean x is a random variable: it differs from sample to sample in a way that cannot be predicted with sureness. We will write X¯ when the sample mean is idea of as a random variable and write x for the values that it takes.

The random variable X¯ has a mean, denoted  μX¯, and a standard deviation, denoted  σX¯. Here is an example with such a small population and small sample size that we can indeed write down every single sample.

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Answer:

Step-by-step explanation

radius=diameter/2

=16/2

=8 ft

area of circle=πr^2

=π*8^2

=π64 ft^2

Answer:

The area of the circle is 64π^2

Explanation:

the diameter is 16, so you divided it by 2 to get the radius, which is 8. The equation that is used to solve for area of circle is A = πr^2. So the equation that I used was A = π8^2.

Answer:

I think the answer is (smallest to largest): 2 ⁹/10 , 3³/6 , 3⅝

Step-by-step explanation:

I turned them into top heavy fractions e.g. 3³/6 =⁴²⁰/120 , 3⅝ = ⁴³⁵/120 , 2⁹/10 =

³⁴⁸/120 And then I compared these. I hope this is correct and that this helped x (also I'm from the UK so sorry if my explanation is different from how your taught wherever live

Answer:

The traveller's speed is 5ft/s and the walkway speed is 3ft/s

Step-by-step explanation:

Given

Represent the traveller's speed with T and the walkway's speed with W.

When the traveller walk against the walkway, we have:

\(T - W = 2\) ---- i.e. 2ft/s against the walkway

When the traveller walk with the walkway, we have:

\(T + W = 8\) ---- i.e. 8ft/s with the walkway

Required

Solve for W and T

\(T - W = 2\) --- (i)

\(T + W = 8\) --- (ii)

Add (i) and (ii)

\(T + T - W + W = 2 + 8\)

\(T + T = 2 + 8\)

\(2T = 10\)

Divide both sides by 2

\(\frac{2T}{2} = \frac{10}{2}\)

\(T = \frac{10}{2}\)

\(T = 5\)

Substitute 5 for T in (ii)

\(T + W = 8\)

\(5 + W = 8\)

Make W the subject

\(W = 8 - 5\)

\(W = 3\)

Hence, the traveller's speed is 5ft/s and the walkway speed is 3ft/s

slope = -1/5

used slope forumula

Answer:

A

Step-by-step explanation:

∠1 is a right angle

Right angles have a measure of 90°

If ∠1 = 117 - y

Then 117 - y = 90

∠2 and ∠3 create a right angle

Like stated previously right angles have measures of 90°

This means that ∠2 + ∠3 = 90

So if ∠2 = 25 and ∠3 = x + 46

Then 25 + x + 46 = 90

The equations created correspond with the answer choice A

Therefore A is the correct answer

Answer:

1) 8 4/5                         4) 6 2/6

2) 8 3/4                        5) 7 2/5

3) 10 1/ 3                      6) 9 2/6

Step-by-step explanation:

Here is one sampel to understand how to do it

\( 44 \div 5 \\ \frac{44}{5} \\ 8 \frac{4}{5} \)

_________________________________________

\(35 \div 4 \\ \frac{35}{4} \\ 8 \frac{3}{4} \)

_________________________________________

\(31 \div 3 \\ \frac{31}{3} \\ 10 \frac{1}{3} \)

_________________________________________

\(38 \div 6 \\ \frac{38}{6} \\ 6 \frac{2 }{6} \)

_________________________________________

\( 37 \div 5 \\ \frac{37}{5} \\ 7 \frac{2}{5} \)

_________________________________________

\( 56 \div 6 \\ \frac{56}{6} \\ 9 \frac{2}{6} \)

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Width =  w units

Length = ( w + 13 ) units

Perimeter of rectangle = 38 units

2* (length + width) = 38

2*(w +13 + w )= 38            {Use distributive property: a*(b+c)=(a*b) +(a*c)

2* ( 2w + 13)   = 38  

2*2w + 2*13   = 38

     4w + 26   = 38              {Subtract 26 from both sides}

              4w   = 38 - 26

              4w =  12       {Divide both sides by 4}

                w = 12/4

w = 3 units

Length = 3 + 13 = 16 units

To find the cost for 3 tickets at the same rate, we can set up a proportion using the given information:

Cost of 5 tickets / Number of tickets = Cost of 3 tickets / Number of tickets

Let's plug in the values we know:

$13.80 / 5 = Cost of 3 tickets / 3

To find the cost of 3 tickets, we can cross-multiply and solve for it:

($13.80 * 3) / 5 = Cost of 3 tickets

$41.40 / 5 = Cost of 3 tickets

$8.28 = Cost of 3 tickets

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Answer:

25:4 50:8 200:32

Step-by-step explanation:

ratio is basically a fraction just a different math sign

Answer:

25 Flashlights will be defective

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are two conditions that need to be in place.

A has too many angles. The answer is not A.

B same as A

C same as A

D doesn't add to 180. Not D

You have no answer unless there is another choice.

We diagree with Marco because

and

where, in the first expression, we factorized x and got

and in the second one, we got

In summary, the first expression is equal to x and the second one is equal to zero, so they are different expressions.

Answer:

The answer is given below

Step-by-step explanation:

Q1: How are rational exponents and radicals related?

Rational exponents are exponents in fraction form. Radicals are roots (square root, cube root and so on).

The denominator of the rational exponent is the root which is the same as the radical.

Q2: How can the average rate of change be identified for a function?

The average rate of change is ratio of the change in output to the change in input values. The average rate of change for a function is the slope of the function.

It can be gotten by finding the first derivative of he function.

Q3: How do linear and exponential functions compare as the domain increases?

For linear functions as x increases, y also increases by the same amount (i.e rate of change is constant). For exponential function the rate of change increases by a factor known as the multiplier.

Answer:

undefined

Step-by-step explanation

it is a vertical line and has no defined slope

The experimental probability the next 4 customers will order a salad is 12.96%

The experimental probability of the next 4 customers ordering a salad can be calculated by multiplying the individual probabilities of each customer ordering a salad.

Given that 60% of customers typically order a salad, the probability of a customer ordering a salad is 0.6, or 60% expressed as a decimal.

To find the probability of all 4 customers ordering a salad, we multiply the probabilities together:

P(4 customers ordering a salad) = 0.6 * 0.6 * 0.6 * 0.6 = 0.6^4 = 0.1296

Therefore, the experimental probability of the next 4 customers ordering a salad is 0.1296, or 12.96% expressed as a percentage.

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Answer:

C. 64, 32, 16

Step-by-step explanation:

This geometric sequence is made by dividing the numbers by 2:

512 ÷ 2 = 256

256 ÷ 2 = 128

Hence, the next term will be

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

Therefore, the correct answer is C.

The next 3 terms in the given geometric sequence are 64, 32, and 16, respectively. The correct option is C.

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

The given series is a geometric sequence, therefore, the common ratio between any two terms will be the same. Therefore, we can write, the ratio as,

Common ratio, r = a₂ / a₁ = 256 / 512 = 1/2

Now, the nth term of the given sequence can be defined as,

aₙ = a₁ × r⁽ⁿ⁻¹⁾

   = 512 × (1/2)⁽ⁿ⁻¹⁾

Therefore, the next term of the given geometric progression will be,

a₄ = 512 × (1/2)³ = 64

a₅ = 512 × (1/2)⁴ = 32

a⁶ = 512 × (1/2)⁵ = 16

Hence, the next 3 terms in the given geometric sequence are 64, 32, and 16, respectively.

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Answer:

S = 350T - 130, where T is the number of hours and S is the number of pounds.

If T = 11, then S = 3,720 pounds.

Step-by-step explanation:

\(m = \frac{2320 - 1445}{7 - 4.5} = 350\)

\(2320 = 350(7) + b\)

\(2320 = 2450 - b\)

\(b = - 130\)

So we have S = 350T - 130. Substituting 11 for T, we have S = 3,720 pounds.

Celine should estimate 3400 tiles in a mosaic.

The total number of tiles in mosaic will be sum of coloured tiles and blank tiles. So, there is a variety in coloured tiles. To calculate this we will perform multiplication.

Number of coloured tiles = Number of different coloured tiles × Number of each different coloured tile

Number of coloured tiles = 7 × 472

Performing multiplication on Right Hand Side of the equation

Number of coloured tiles = 3304

Total number of tiles = 3304 + 96

Performing addition on Right Hand Side of the equation

Total number of tiles = 3400 tiles

The estimate will be 3400 tiles.

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Answer:

i tried to upload sum but it didnt work

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

prime factorization of

150= 2×3×5×5.

and

375= 3×5×5×5

taking common prime factors from both numbers

so HCF = 3×5×5 = 75

\(\begin{array}{r|l}150&2\\75&3\\25&5\\5&5\\1\end{array}\\\\150=2\cdot3\cdot5^2\\\\\begin{array}{r|l}375&3\\125&5\\25&5\\5&5\\1\end{array}\\\\375=3\cdot5^3\\\\\text{hcf}(150,375)=3\cdot5^2=75\)

To show that the polynomials {x^2 + 1, x^2 - 1, 2x - 1} form a basis for 2nd degree polynomials, we need to demonstrate two things: linear independence and spanning the vector space.

To show linear independence, we set up the equation:

c1(x^2 + 1) + c2(x^2 - 1) + c3(2x - 1) = 0,

where c1, c2, and c3 are constants. In order for the polynomials to be linearly independent, the only solution to this equation should be c1 = c2 = c3 = 0.

Expanding the equation, we have:

(c1 + c2) x^2 + (c1 - c2 + 2c3) x + (c1 - c2 - c3) = 0.

For this equation to hold for all x, each coefficient of x^2, x, and the constant term must be zero. This gives us the system of equations:

c1 + c2 = 0,

c1 - c2 + 2c3 = 0,

c1 - c2 - c3 = 0.

Solving this system of equations, we find that c1 = 0, c2 = 0, and c3 = 0. Hence, the polynomials are linearly independent.

To show that the polynomials span the vector space of 2nd degree polynomials, we need to demonstrate that any 2nd degree polynomial can be expressed as a linear combination of the given polynomials.

Let's consider an arbitrary 2nd degree polynomial p(x) = ax^2 + bx + c. We can express p(x) as:

p(x) = (a/2)(x^2 + 1) + (b/2)(x^2 - 1) + ((a + b)/2)(2x - 1).

This shows that p(x) can be expressed as a linear combination of the given polynomials, proving that they span the vector space.

Therefore, the polynomials {x^2 + 1, x^2 - 1, 2x - 1} form a basis for the 2nd degree polynomials.

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Answer:

tada

Step-by-step explanation:

y decreases

exponential decay, there for the function is exponential

y > 0

y=8

x=1,y=5

Answer:

6p-42

Step-by-step explanation:

it is in factorized form so if you want to simplify it u use distributive property over subtraction.

6p-42

a) The probability that one chip will be A and one will be E is 4/15.

b) The probability that the first chip will be F is 1/6.

c) The probability that the first chip will be B and the second will be D is 8/15.

a) The probability that one chip will be A and one will be E

The total number of ways to select 2 chips out of 6 is given by the combination formula

C(6,2) = 6! / (2! × 4!) = 15

To select one chip A and one chip E, we have to choose one chip out of the two A's and one chip out of the two E's. The total number of ways to do this is given by

2 × 2 = 4

Therefore, the probability of selecting one chip A and one chip E is

P(AE) = 4/15

b) The probability that the first chip will be F

There are 6 chips in the box, so the probability of selecting F as the first chip is

P(F) = 1/6

c) The probability that the first chip will be B and the second will be D

To select one chip B and one chip D, we have to choose one chip out of the two B's and one chip out of the two D's. The total number of ways to do this is given by

2 × 2 = 4

Once we have selected the B and D chips, there are 4 remaining chips to choose from for the first chip. Therefore, the total number of ways to select one chip B and one chip D is

4 × 2 = 8

The probability of selecting one chip B and one chip D is therefore

P(BD) = 8/15

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