Graph the equation `y=\frac{2}{3}x\ -3` on the coordinate plane.

the probability of the daily water consumption exceeding 924,210 gallons and experiencing a noticeable drop in water pressure is approximately 0.0606 or 6.06%.

To solve this problem, we need to find the probability that the daily water consumption exceeds 924,210 gallons, given that the mean daily water consumption is 814,856 gallons and the standard deviation is 70,221 gallons.

Using the formula for standardizing a normal random variable, we have:

z = (x - μ) / σ

where x is the daily water consumption, μ is the mean daily water consumption, σ is the standard deviation, and z is the standard normal random variable.

Substituting the values given in the problem, we have:

z = (924,210 - 814,856) / 70,221 = 1.55

Using a standard normal table or calculator, we find that the probability of a standard normal random variable being greater than 1.55 is approximately 0.0606.

Therefore, the probability of the daily water consumption exceeding 924,210 gallons and experiencing a noticeable drop in water pressure is approximately 0.0606 or 6.06%.

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Answer:

d) 5.88×10^9

Step-by-step explanation:

Answer:

d) 5.88 × 10⁻⁹

Explanation:

\(\rightarrow \sf \left(1.2\cdot 10^7\right)\left(4.9\cdot 10^2\right)\)

\(\sf apply \ exponent \ rule : a^b + a^c = a^{b + c}\)

\(\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^{7}\cdot \:10^{2}\)

\(\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^{7+2}\)

\(\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^9\)

\(\rightarrow \sf 5.88 \cdot \:10^9\)

Mac must get 90 on the eighth exam to raise his average to 80%.

The average is calculated as the product of all values divided by all possible values. It can also be described as mean. The mean in statistics is the average value for the particular sample or collection of data. It is determined by dividing the total number of observations by the total number of observations.

Given:

Mac has taken seven math exams this year.

His average mark is 78%.

Let x be the required score.

To find the mark to raise his average to 80%:

According to the question,

78(7) + x  = 8(80)

546 + x = 640

x = 640 - 546

x = 90

Therefore, the required mark is 90.

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Number of quarters is 6 and number of nickels are 42.

One eighth of Al's coins are quarters, so if we let x be the total number of coins, then x/8 is the number of quarters Al has.

We know that:

Quarters are worth $0.25 and nickels are worth $0.05 and total value of the coins is $3.60

so, x/8 * $0.25 + (x-x/8) * $0.05 = $3.60

=> x/8 * 0.25 + 7x/8 * 0.05 = 3.60

multiplying both sides by 8 to cancel out 8, we get

=> x*0.25 + 7x * 0.05 = 28.8

=> x/4 + 7x/20 = 28.8

=> (5x + 7x)/20 = 28.8

=> 12x = 576

=> x= 48

x/8 = 6 and (x-x/8) = 42

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Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, the change in the mean is calculated as follows:

Change in mean = Mean of second data set - Mean of first data set

Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:

Change in mean = Mean of second data set - Mean of first data set

= Mean of first data set - Mean of first data set

= 0

Thus, the change in the means between Kelly's original survey and her second survey is zero.

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The length of the dotted line is 11.1803

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Now,

the length of triangle is

by pythagoras theorem

hypotenuse = √8²+6²

                   =√100

                   =10

and the length of dotted line

by pythagoras theorem

⇒ √10²+5²

⇒√125

⇒11.1803

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Answer:

13.85$

Step-by-step explanation:

105$-8$=97$

97$/7$=13.85$

Answer: About $13.86

Step-by-step explanation: To find how much the cost of the forks is, we need to subtract the value of the lunch box from the total cost, because we don't need to find the value of the lunch box. So:

105 - 8 = 97

So, now since he bought 7 forks, we need to divide 7 by 97. So:

97 / 7 = 13.857142857142858

So, we need to round to the nearest cent. So, the 7 is greater than 5, so we round up. So, we have $13.86 each. So, check, we do:

13.86(7) + 8

97.02 + 8

= 105.02

This is the closest he can buy for each fork is ABOUT $13.86. I hope this helps ;)

Answer:

Step-by-step explanation:

how to convert quinary into binary numbers​?

If this means x in base 5 is equal to y in base 2

You just have to divide in base 5 by 2

Let's take an example.

\((14)_5= (? )_2\\\\\begin{array}{c|c}14&1\\4&0\\2&0\\1&1\\0\\\end {array}\\\\\\\\\)

\(Read\ from\ down\ to\ up ==> 1001\\\\\)

\(Explanation:\\(14)_5=1*5+4=9\ in\ base\ 10\\\\\)

\(in\ base\ 5\\4*2=13 \\14=4*2+1\\4=2*2+0\\2=1*2+0\\1=0*2+1\\\)

\(So\ (14)_5=(1001)_2\\\)

No, p(x=5) = f(5) = 1/10 is not correct.

If x is a continuous random variable on the interval [0, 10], then the probability of x taking on any specific value (such as 5) is zero.

This is because there are infinitely many possible values that x can take on within the interval, and the probability of x taking on any one specific value is vanishingly small.

Instead, the probability of x falling within a certain range of values is what is meaningful.

This is typically represented by the probability density function (PDF) of the random variable, denoted as f(x). The probability of x falling within a range [a, b] is then given by the integral of the PDF over that range:

P(a <= x <= b) = integral from a to b of f(x) dx

For a continuous uniform distribution over the interval [0, 10], the PDF is a constant function:

f(x) = 1/10 for 0 <= x <= 10

f(x) = 0 otherwise

Using this PDF, we can find the probability of x falling within a specific range, but the probability of x taking on any one specific value is always zero:

P(x = 5) = 0

So, the statement "p(x=5) = f(5) = 1/10" is not correct for a continuous random variable.

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Therefore, the series ∑(n=1 to infinity) n*(5/2)sin(2n) converges.

To determine the convergence or divergence of the series ∑(n=1 to infinity) n*(5/2)sin(2n) using the direct comparison test, we need to find a series with known convergence properties that can be compared to the given series.

Since -1 ≤ sin(2n) ≤ 1 for all n, we can use the direct comparison test with the series ∑(n=1 to infinity) n*(5/2).

Let's consider the series ∑(n=1 to infinity) n*(5/2). Since the exponent 5/2 is greater than 1, the series ∑(n=1 to infinity) n*(5/2) is a p-series with p = 5/2 > 1. It is known that p-series with p > 1 converge.

Now, we can apply the direct comparison test:

0 ≤ |n*(5/2)sin(2n)| ≤ |n*(5/2)|

Since the series ∑(n=1 to infinity) |n*(5/2)| converges, and the given series ∑(n=1 to infinity) n*(5/2)sin(2n) is bounded by it, we can conclude that the given series also converges.

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Answer:

the answer to your question is 9.73

Answer:

A

Step-by-step explanation:

Because according to my calculations there are supposed to be 5 digits and for the answers for the question A is the only letter with an answer with 5 digits.

My answer was 9.7325(even though the answers is different they still have the same number of digits) and for A it is 9.7324 which is another 5 digits.

Here is why I got 5 digits.

4.0125

5.7200

_______

When we add these we have to add 0er's to 5.72 because it doesn't have enough digits to add so you add zero's to it.

So 5 +0=5  2 +0=2  1 +2=3  0 +7=7  and for our last number 4 + 5=9 and so our answer is ?

9.7325

and the 9 = 1 digit 7=2 digit 3= 3 digits 2= 4 digits and last 5 = 5 digits.

Hope this helps have a great day:)

Answer:

Solution in photo

Step-by-step explanation:

Answer:

the answer is

C. = x=22.82

Answer:29

Step-by-step explanation:

Given:

The equation is:

\(x=\ln 4\)

To find:

The equations that is equivalent to the given logarithmic equation.

Solution:

We have,

\(x=\ln 4\)

It can be written as:

\(e^x=e^{\ln 4}\)

\(e^x=4\)                  \([\because e^{\ln x}=x]\)

Therefore, the correct option is D.

Answer:

58/5

Step-by-step explanation:

Answer:

he should get $16.20 back

Step-by-step explanation:

The correct option regarding the linear regression equation is:

No, the equation is not a good fit because the sum of the residuals is a large number.

To find the equation, we need to insert the points (x,y) in the calculator.

In possession of the equation, the residuals are given by the difference of the predicted values(with the equation) and the actual values.

The model represents a good fit if the sum of the residuals is close to 0.

For this problem, the sum of the residuals is given by:

90 - 50  - 100 - 100 + 150 - 50 = -60.

The sum is a large number, hence the model is not a good fit.

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Answer:

slope =.25

Step-by-step explanation:

I assume this is asking to find the slope?

graph this equation and you'll see that the run is 16 and the rise is 4.

rise/run

4/16 = .25

The value returned by the call binarySearch (input List, 6, 8, 70) is 7.

The method provided in the question is a recursive binary search that searches for a target value within a sorted ArrayList.

The binarySearch method takes four arguments - the ArrayList to search within, the lower and upper bounds of the search range, and the target value.
In this case, the input ArrayList is [e, 10, 30, 40, 50, 70, 70, 70, 70].

The call to binarySearch(inputList, 6, 8, 70) will search for the value 70 within the sub-range of the ArrayList from index 6 to index 8, inclusive.
The mid index is calculated as

(8+6)/2 = 7    

The value at index 7 is also 70, which matches the target value.

Therefore, the method will return the index 7, indicating that the target value was found at that position within the ArrayList.
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Answer:

B) 50%

Step-by-step explanation:

300% is the same as 3. So to find 300% of 7 you do 3 times 7 and get 21.

Now you need to find _% times 42 = 21. Divide 21/42 to get 0.5. This is the same thing as 50%.

Hope it helps and have a nice day! :)

The formula for the general nth term of the sequence is αₙ= -3-n.

The given sequence -4,-5,-6,-7,-8,··········· is an arithmetic sequence as all the terms differ by a number -1.

The nth term αₙ of any arithmetic sequence is given by αₙ= α+(n-1) d where α is the first term, d is a common difference and n is the number of terms.

Here, α= -4

         d=α₂-α₁

           = -5+4

           = -1

  ⇒αₙ= -4+(n-1)(-1)

  ⇒αₙ = -4-n+1

  ⇒αₙ  = -3-n

The correct answer is -3-n.

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Answer: 0.7

Step-by-step explanation: hope it helps

Answer:

0.7

Step-by-step explanation:

0.7

Answer:

x=2 or x=-2

Step-by-step explanation:

7x2-28=0

7x2=28

x2=4

square route of 4 is 2 so the answer is either 2 or -2

hope this helpss!!

The probability that 75% or more of the women in the sample have been on a diet is 0.944.

The probability that 75% or more of the women in the sample have been on a diet can be calculated by using the binomial formula. The formula is P(X>=x) = 1 - P(X<x). The parameters in this case are as follows: n = 267, p = 0.7, and x = 201.5 (which is 75% of 267). Therefore, the probability that 75% or more of the women in the sample have been on a diet is 1 - P(X<201.5). Solving for this probability, P(X>=201.5) is 0.944. Therefore, the probability that 75% or more of the women in the sample have been on a diet is 0.944.

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First off, why is this in the mathematics section lol. Anyways, the essay looks good, but you can remove some unnecessary information. The reader doesn't need to know that the author is 14. Knowing the age of an author won't help support your argument.

Also, you say, "For example during the pandemic situation there were some quick changes to it like the vaccines being made...".

I would say instead, "During the pandemic, there were some rapid changes that took place to correct the pandemic like the vaccines being made...". Other than that, the essay looks good!

The estimated value of a motorcycle that is 5 years old is $4750.

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the value of the motorcycle after x years.

The value is given by:

y = -750x + 8500

After 5 years (x = 5):

y = -750(5) + 8500 = 4750

The estimated value of a motorcycle that is 5 years old is $4750.

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