alegbra math, if anybody could help with those two questions, thanks!

The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

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Answer: x = √-6 - 4

Step-by-step explanation:

x^2+8x+22=0

(x+4)^2 - 16 + 22 = 0

(x+4)^2 + 6 = 0

(x+4)^2 = -6

√(x+4)^2 = √-6

x = √-6 - 4            

√6 = 2.449

Answer:

2 cups of milk i think

sorry if not right

Step-by-step explanation:

Answer:

2 cups of milk (equivalent)

Step-by-step explanation:

If it's eight cups and there's a quarter of milk in Anne's chocolate, then:

\((8)(\frac{1}{4}) =\frac{8}{4} =2\)

Hope this helps

Applying exponent rules, the factored expression is given as follows:

125^6 - 27^15 = 5^18 - 3^45.

The expression is factored according to the like terms of the expression, which are placed into evidence.

For this problem, the expression is:

125^6 - 27^15

First, we have to factor 125 and 27, finding it's prime factors, hence:

Thus the expression can be written as:

125^6 - 27^15 = (5³)^6 - (3³)^15

There will be no like terms on the expression, as the bases are different,  of 3 and 5, hence we just apply the exponent rules, as follows:

a^b^c = a^(b x c), which is the power of power rule.

Hence:

Hence the simplified expression is given as follows:

(5³)^6 - (3³)^15 = 5^18 - 3^45.

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The given set is (3, 4, 5, ...} is infinite set.

A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.

The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.

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subtracting (c ^ 2 - 4c + 7) from (7c ^ 2 - 5c + 3) would give 6c² - 9c -4

Given the expressions as

(c ^ 2 - 4c + 7)

(7c ^ 2 - 5c + 3)

We are to substract expression 2 from expression 1

In doing this, we need to know the BODMAS rule ( bracket, of, division, multiplication, addition and subtraction). This would help in finding the solution

(7c ^ 2 - 5c + 3) -  (c ^ 2 - 4c + 7)

Expand the bracket

7c² - 5c + 3 - c² - 4c + 7

collect like terms

7c²- c² - 5c - 4c + 3 - 7

Add or substract the like terms

6c² - 9c -4

Thus, subtracting (c ^ 2 - 4c + 7) from (7c ^ 2 - 5c + 3) would give 6c² - 9c -4

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Answer:6c^2-c-4

Step-by-step explanation:

(7c^2-5+3)-(c^2-4c+7)

7c^2-5c+3-c^2+4c-7

Rearrange the terms

7c^2-c^2-5c+4c+3-7

Combine like terms

6c^2-c-4

Answer:

b = -5

Step-by-step explanation:

Let's figure this equation, step by step.

-3b + 8 = 38 + 3b

Step 1: Subtract 3b from both sides. This cancels out the addition by 3b.

-3b + 8 - 3b = 38

Step 2: Combine -3b and -3b to get -6b.

-6b + 8 = 38

Step 3: Subtract 8 from both sides. This cancels out the addition by 8.

-6b = 38 - 8

Step 4: Subtract 8 from 38 to get 30.

-6b = 30

Step 5: Divide both sides by -6. This undoes the multiplication by -6.

b = 30/-6

Step 6: Divide 30 by -6 to get -5.

b = -5

Let's check our work by substituting -5 for b in the equation above.

-3(-5) + 8 = 38 + 3(-5)

15 + 8 = 38 + (-15)

23 = 23

Both sides are the same, so b = -5.

The pattern between the numbers 3, 20, 110, and 1715 can be found using a mathematical method. In order to get the following number from each, there is a sequence that must be applied.Let's take a look at the sequence that was used to generate these numbers:

The first number is multiplied by 2 and then increased by 14 to get the second number. For example:

3 x 2 + 14 = 20

Then, the second number is multiplied by 3 and 20, and 110 is added.

20 x 3 + 110 = 170

The third number is multiplied by 4 and then increased by 110.

110 x 4 + 110 = 550

Finally, the fourth number is multiplied by 5 and then increased by 110.

550 x 5 + 110 = 2825

Therefore, using the above formula, the next number in the sequence can be calculated:

1715 x 6 + 110 = 10400

As a result, the sequence of numbers 3, 20, 110, 1715, 10400 can be calculated using the mathematical formula stated above.

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Step-by-step explanation:

Y= x - 2. Y = 3x + 5

Putting value of y

x - 2 = 3x + 5

-2 - 5 = 3x - x

-7 = 2x

-7/2 = x

Putting value of x

Y = 3(-7/2) + 5

Y = - 10.5 + 5

Y = - 5.5

Answer:

2:10

Step-by-step explanation: plz mark me as brainlist!

Answer:

Answer: A. The slope of f(x) is greater than the slope of g(x).

Answer:

f(g(x)) = 9x² - 6x + 1

Step-by-step explanation:

We are told that:

• \(f(x) = x^2\)

• \(g(x) = 3x -1\).

In order to find \(f(g(x))\), we have to replace \(x\) in the definition of \(f(x)\) with the definition of \(g(x)\). In other words, \(3x -1\) has to be the input for \(f(x)\):

\(f(g(x))\) = \(f(3x -1)\)

          ⇒ \((3x - 1)^2\)

          ⇒ \(9x^2 - 6x + 1\)

Therefore, f(g(x)) = 9x² - 6x + 1.

investment at 12 %  =  $8485

investment at 10%   = $2042

What does investing mean?

The act of investing entails using money now in the hopes that it will appreciate over time.

           An investment is putting resources—such as time, money, effort, etc.—to work in the expectation of receiving a return that is greater than the initial investment.

Let x = investment at 12%

      y = investment at 10%

    x + y = 10,527

given interest earned from 12% exceed

   10%  by 814

  0.12x  =  0.1y + 814

  y = 10527 - x

 0.12x = 0.1( 10527 - x ) + 814

0.12x = 1052.7x - 0.1x + 814

 0.22x = 1866.7

    x = 1866.7/0.22

     x =  8485

   y = 10527 - 8485  = 2042

investment at 12 %  =  $8485

investment at 10%   = $2042

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The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

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Answer:

List all of the solutions.

T

y

=

4

=

2

=

x

=

−

2

=

2

=

4

=

4

=

Step-by-step explanation:

The domain of the function is real numbers and range is from -2 to +2.

The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f(x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value.

The domain takes all of the potential input values from the set of real numbers, while the range takes all of the function's output values.

The domain is the x values operate, often known as the horizontal axis.

Here we have the parabola function x².

Then, the domain of all parabolic functions is all real numbers.

The Range is y values on the vertical axis.

As, from the graph there is no point below 2 .

Then, the range of the function is from -2 to +2.

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Answer:25.5

Step-by-step explanation:

the person was six feet tall and cast a shadow of 6.5 feet tall that means the shadow adds a hight diffrence of 0.5 which means that the tree is 25.5 feet tall

Answer:

2³ x 3²

Step-by-step explanation:

The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:

          72

      2   x    36

      2 x 2 x 18

      2 x 2 x 2 x 9

       2 x 2  x 2 x 3 x 3

So;

  The prime factorization is 2³ x 3²

The area of the shaded region is 3915 units².

We have,

Area of the sector.

= 13.08 units²

Now,

To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case,

The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:

Calculate the semi-perimeter:

s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units

Use Heron's formula to find the area:

Area = √[7(7 - 5)(7 - 5)(7 - 4)]

= √[7(2)(2)(3)]

= √[84]

≈ 9.165 units (rounded to three decimal places)

Now,

Area of the shaded region.

= Area of the sector - Area of the isosceles triangle

= 13.08 - 9.165

= 3.915 units²

Thus,

The area of the shaded region is 3915 units².

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I suppose the claim is \(5 \mid 6^n - 1\) for \(n\in\Bbb N\).

When \(n=1\), we have \(6^1 - 1 = 6 - 1 = 5\), and of course 5 divides 5.

Assume the claim holds for \(n=k\), that \(5 \mid 6^k - 1\). We want to use this to show it holds for \(n=k+1\), that \(5 \mid 6^{k+1} - 1\).

We have

\(6^{k+1} - 1 = \left(6^{k+1} - 6\right) + \left(6 - 1) = 6\left(6^k - 1\right) + 5\)

Since \(5 \mid 6^k - 1\), we can write \(6^k - 1 = 5\ell\) for some integer \(\ell\). Then

\(6^{k+1} - 1 = 6\cdot5\ell + 5 = 5(6\ell + 1)\)

which is clearly divisible by 5. QED

The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.

The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.

The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.

Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.

Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.

Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.

Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.

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A = {f, k, m, y}

B' = {k, x, y}

\(A \cup B' = \{f, ~k, ~m, ~y, ~x\}\)

(every element from A and any other element that B' has that A didn't)

A' = {q, x}

B' = {k, x, y}

\(A \cap B' = \{x\}\)

(x is the only element that both sets have)

Answer: it's b.

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

The combination of candy bars and peanuts would not be attainable for this consumer is option (B) two candy bars and five bags of peanuts

To determine which combination of candy bars and peanuts would not be attainable for a consumer with $10 to spend, we need to consider the different possible combinations and calculate the total cost.

Let's denote the number of candy bars as x and the number of bags of peanuts as y. Then, the equation of the total cost C is

C = 2x + 1.5y

We want to find the combination of x and y that would result in a total cost greater than $10, which would not be attainable for the consumer.

A) one candy bar and four bags of peanuts:

C = 2(1) + 1.5(4) = 8

This combination is attainable since the total cost is less than $10.

B) two candy bars and five bags of peanuts:

C = 2(2) + 1.5(5) = 13

This combination is not attainable since the total cost is greater than $10.

C) two candy bars and one bag of peanuts:

C = 2(2) + 1.5(1) = 5

This combination is attainable since the total cost is less than $10.

D) three candy bars and one bag of peanuts:

C = 2(3) + 1.5(1) = 7.5

This combination is attainable since the total cost is less than $10.

Therefore, the correct option is (B) two candy bars and five bags of peanuts.

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According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

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The American national standards Institute (ANSI) established the lettering standards for drafting.

The ANSI is a private non-profit enterprise that oversees the development of voluntary consensus standards for products, services, methods, and systems inside the united states of america.

In 1941, the ANSI released the "Engineering Lettering" standard, which have become the industry wellknown for lettering and drawing in engineering and structure. the usual set up the size, style, and spacing of letters, numbers, and emblems in drawings, in addition to hints for his or her placement and orientation.

The Gothic Sans Serif typeface became recommended as the standard font for its legibility and ease of reproduction. those standards helped make sure consistency and readability in technical drawings throughout specific industries

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