how many inches of snow fall at this rate?

Ninety percent of the total people surveyed own computers.

To calculate the percentage of people surveyed who own computers, use the following formula: (number of people who own computers / total number of people surveyed) * 100. In this case, 1,800 of the 2,000 people surveyed own computers. So the calculation is (1,800 / 2,000) * 100 = 90%. Therefore, 90% of the total people surveyed own computers. In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is one of the ways to represent a dimensionless relationship between two numbers; other methods include ratios, fractions, and decimals. Percentages are often denoted by the symbol "%" written after the number. They can also be denoted by writing "percent" or "pct" after the number.

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Answer:

\(n = 500e^{-4.1589x}\)

Step-by-step explanation:

Using the exponential growth equation \(N(t) = N_0e^{-kt}\) where;

N₀ is the initial population of the bacteria

N(t) is the population of the bacteria during time t

If a biologist puts an initial population of 500 bacteria into a growth plate, this means that N₀ = 500 at t = 0

\(N(t) = N_0e^{-kt}\\N(t) = 500e^{-k(0)}\\N(t) = 500e^0\\N(t) = 500\)

If the population is expected to double every 4 hours, this means when t = 4, N₀  = 2(500) = 1000

\(N(t) = N_0e^{-kt}\\500 = 1000e^{-4k}\\\frac{500}{1000} = e^{-4k}\\0.5 = e^{-4k}\\ln(0.5) = lne^{-4k}\\ln(0.5) = -4k\\k = \frac{ln0.5}{-4} \\k = 0.1733\)

The equation that will give the expected number of bacteria, n, after x days, can be gotten by substituting N(t) = n and t = x days = 24x hours

\(N(t) = N_0e^{-kt}\\n = N_0e^{-0.1733(24x)}\\n = 500e^{-4.1589x}\)

Hence the equation that will give the expected number of bacteria, n, after x days is \(n = 500e^{-4.1589x}\)

Answer:475 inches

Step-by-step explanation:

476 is the answer because:

100 * 4.75 = 475

*Therefore, the answer is 475 inches.

Hopefully this helps:)

Answer:

Step-by-step explanation:

0.0010928961748634

but 50,325 divided by 55 is 915

Step-by-step explanation:

The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).

Answer:

1

Step-by-step explanation:

Answer:

Option 4

Step-by-step explanation:

This is a question on angles and their properties

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

x= 72°

reason: this is because it is a corresponding angle. Corresponding angles are equal to another

Answer:

David's balance at the end of the week is $2300

Answer:

y=3x—1

Step-by-step explanation:

The line contains point (2,5)

so if we put x=2 in the equation, that'll give us y=5

only option that contains point (2,5) is:

\(y = 3x - 1 \\ (5) = 3(2) - 1 \\ 5 = 5 \: true\)

Answer:

y = 3x - 1

Step-by-step explanation:

From this equation we can get that the point at which the line touches the y osis is - 1 by replacing x with 0:

y = 3(0) - 1

Answer:

equation a and graph E

equation b and graph a

equation c and graph b

equation d and graph D

Step-by-step explanation:

the probability that at least seven customers arrive in three minutes, given that exactly two arrive in the first minute, is approximately 0.081 or 8.1%.

How to solve?

To solve this problem, we can use the Poisson distribution, which models the probability of a certain number of events occurring in a fixed interval of time or space, given the expected rate of occurrence.

Let lambda be the expected rate of customer arrivals per minute. If exactly two customers arrive in the first minute, then the expected number of customers to arrive in three minutes is lambda ×3. We can use this expected value to calculate the probability of at least seven customers arriving in three minutes:

P(X ≥ 7 | X ~ ∝(λ×3))

= 1 - P(X ≤ 6 | X ~ ∝(λ×3))

= 1 - ∑[k=0 to 6] (e²(-λ3) ×(lλ3)²k / k!)

where e is the mathematical constant approximately equal to 2.71828, and k! denotes the factorial of k.

To find lambda, we can use the fact that exactly two customers arrive in the first minute. The Poisson distribution assumes that the number of events in a fixed interval of time or space follows a Poisson distribution with parameter lambda, which represents the expected rate of occurrence. Therefore, lambda is equal to the number of customers arriving per minute, which is 2.

Substituting lambda = 2 into the formula, we get:

P(X ≥ 7 | X ~ ∝(2×3))

= 1 - P(X ≤ 6 | X ~ ∝(6))

= 1 - ∑[k=0 to 6] (e²(-6) ×6²k / k!)

Using a calculator or computer software, we can evaluate this expression to get:

P(X ≥ 7 | X ~ ∝(6)) ≈ 0.081

Therefore, the probability that at least seven customers arrive in three minutes, given that exactly two arrive in the first minute, is approximately 0.081 or 8.1%.

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Answer:

180 houses

Step-by-step explanation:

The 3 part of the ratio 10 : 3 represents 30 bungalows, thus

30 ÷ 3 = 10 ← value of 1 part of the ratio

10 parts = 10 × 10 = 100 ← number of flats

The 5 part of the ratio 9 : 5 represents 100 flats, thus

100 ÷ 5 = 20 ← value of 1 part of the ratio, then

9 parts = 9 × 20 = 180 ← number of houses

Answer:

113 adult tickets

Step-by-step explanation:

Brainliest please

Answer:

108 adult tickets sold

Step-by-step explanation:

To do this equation, we can set x equal to the number of adult tickets sold, and then set up the following equation:

x + 3 x = 432

Since there are three times as many student tickets as adult tickets and the total is 432, you can just use all this information together to make an equation. From there, you can combine like terms to create this equation:

4 x = 432

After this, just divide both sides by 4 to reach the answer of:

x = 108

Neither of the given functions is a permutation of R because they do not meet the requirements of being both injective and surjective.

f: RR are permutations of R. A permutation is a function that bijectively maps one set to another. In other words, for a function to be a permutation, it must be both injective and surjective.

Let's analyze each function individually:

(a) f(x) = x + 1:
This function is not a permutation of R. To be a permutation, f(x) would need to be injective, meaning that each element of R is mapped to a unique element in the range. However, in this case, f(x) maps multiple elements to the same value. For example, f(1) = 2 and f(2) = 3, so both 1 and 2 are mapped to the same element in the range. Therefore, f(x) = x + 1 is not a permutation of R.

(b) f(x) = (x - 1)²:
This function is also not a permutation of R. To be a permutation, f(x) would need to be surjective, meaning that every element in the range is mapped to by at least one element in the domain. However, in this case, the range of f(x) is [0, ∞), which means that no negative numbers are mapped to. Therefore, f(x) = (x - 1)² is not a permutation of R.

In conclusion, neither of the given functions is a permutation of R because they do not meet the requirements of being both injective and surjective.

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Answer sent as photo. Plz check attached image.

Answered by Benjemin

Answer:

7.2 because 72 / 10 = 7.2

hope this helps!!!

Answer:

0.099, 0.18, 0.2, 0.698.

Step-by-step explanation:

Answer:

Hey there!

In total, there are 360 degrees. If there are 40 staff members, then each member has 360/40=9 degrees.

Hope this helps :)

Answer:

9 degrees

Step-by-step explanation:

There are 360 degrees in a circle

There are 40 people

360 / 40 = 9

Each person gets 9 degrees

To find the exact value, we would need to evaluate the definite integral, but it may not be practical to do so without further information or using numerical methods.

To find the average value of a function on a closed interval, you need to calculate the definite integral of the function over that interval and divide it by the length of the interval. In this case, we want to find the average value of the function f(x) = 3xsin(x) on the interval 1 ≤ x ≤ 7.

The average value of f on the interval [1, 7] is given by the formula:

Average value = (1/(b - a)) * ∫[a to b] f(x) dx

where a and b are the endpoints of the interval.

In our case, a = 1, b = 7, and f(x) = 3xsin(x). So, we can calculate the average value as follows:

Average value = (1/(7 - 1)) * ∫[1 to 7] (3xsin(x)) dx

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Answer:

$0.50

Step-by-step explanation:

Answer:

0.20

Step-by-step explanation:

5.00 divided by 25

The values of \(x\) are \(1+\sqrt{89}\) and \(1-\sqrt{89}\).

To find the values of x:

Given equation: \((x+7)(x-9)=25\)

Then: \(x(x-9)+7(x-9)=25\)

Using the distributive property: \(a.(b+c)=a.b+a.c\)

\(x^{2} -9x+7x-63=25\)

Combine like terms:

\(x^{2} -2x-63=25\)

Subtract 25 from both sides and obtain:

\(x^{2} -2x-88=0\)

Using completing square form:

Add and subtract \((\frac{2}{2} )^{2} =1\) we have:

\(x^{2} -2x-88+1-1=0\\(x-1)^{2} -89=0\)

Add 89 to both sides we have:

\((x-1)^{2} =89\)

Taking square roots on both sides, obtain:

\(x-1=\) ± \(\sqrt{89}\)

Add 1 to both sides we have:

\(x=1\)±\(\sqrt{89}\)

Therefore, the values of \(x\) are \(1+\sqrt{89}\) and \(1-\sqrt{89}\).

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The complete question is given below:

Use completing the square to solve (x + 7)(x – 9) = 25 for x.

Answer:

slope= 1/10x and the slope represents the increase of the rental cost after x miles driven.

Step-by-step explanation:

i hope this helps :)

$6.60 because 6.00 + 0.60 = 6.60

Answer:

38.4[litres].

Step-by-step explanation:

\(1. \ the \ rule \ \frac{470.7[km]}{52.3[l]} =\frac{345.6[km]}{x};\)

\(2. \ x=\frac{345.6*52.3}{470.7}=38.4[l].\)

Answer:

(4y7+7x4)(−4y7+7x4)

Step by Step:

Factor 49x8−16y14

−16y14+49x8

=(4y7+7x4)(−4y7+7x4)

The factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

49x⁸ − 16y¹⁴

As we know the polynomial identity:

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)

a² - b² = (a - b)(a + b)

The expression 49x⁸ − 16y¹⁴ can be written as:

= (7x⁴)² − (4y⁷)²

After using the identity: a² - b² = (a - b)(a + b)

= (7x⁴ - 4y⁷)(7x⁴ + 4y⁷)

Thus, the factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.

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The weight of the melted ice cream would be the same as the weight of the original ice cream, which is 5 ounces.

a quantity or thing weighing a fixed and usually specified amount. : a heavy object (such as a metal ball) thrown, put, or lifted as an athletic exercise or contest. 3. : a unit of weight or mass see Metric System Table.

When the ice cream melts, it undergoes a change in state from solid to liquid, but the total mass or weight remains unchanged. Therefore, the weight of the melted ice cream is still 5 ounces.

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