A pool manager mixes 234 gallons of water with 114 gallons of a chemical to get a particular cleaning solution for a swimming pool. Part B If the pool manager follows the cleaning solution recipe and makes a medium batch of the solution using a total of 11 gallons of water, how many total gallons of the cleaning solution are in the medium batch?

Answer:

Step-by-step explanation:

To find f(4), you can substitute 4 for x in the equation f(x) = 3x + 4. This gives you:

f(4) = 3(4) + 4

= 12 + 4

= 16

Therefore, f(4) = 16.

(1) The sample size (n)>30 and population standard deviation (σ) is unknown then we use one sample t-test we get.

(2) There is sufficient evidence to conclude that, the customer is willing to purchase a watch unless it can be demonstrated that the average lifetime is shorter than what is advertised.

Test the hypothesis that the client is prepared to buy a watch unless it can be shown that the average lifespan is shorter than what is claimed using a significance level of α=0.05.

Given that,

Sample size (n)=50

Sample mean (x−)=738.44

Sample standard deviation (S)=38.2 where (S)2=1,459.24

The null and alternative hypothesis are,

H(0): μ≥800

vs

H(1): μ<800

(1) In the given question we have to explain why the test statistic has a normal distribution despite the experimenter being unaware of the distribution of the population of digital watches.

The sample size (n)>30 and population standard deviation (σ) is unknown then we use one sample t-test we get.

(2) In the given question we have to devise an appropriate hypothesis test to determine whether the given customer is willing to purchase a digital watch.

Then test statistic becomes,

t = x−μ/(s/√n)

t = 738.44−800/(38.2/√50)

t = −61.56/5.40229

t = −11.40

Here the test is one tailed (left tailed) at α=0.05

Then degrees of freedom=(n-1)=(50−1)=49

Thus P-value becomes,

P-value = <0.00001

The P-value is less than or equal to α=0.05

Then we reject the null hypothesis H(0).

We use excel command to find the P-value we get,

=T.DIST( x, deg _freedom, TRUE)

=T.DIST(-11.40 , 49,TRUE)

=<0.00001

There is sufficient evidence to conclude that, the customer is willing to purchase a watch unless it can be demonstrated that the average lifetime is shorter than what is advertised.

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The right question is given below:

If an advertisement is placed in 4 different places in vogue magazine and then runs for 5 issues, the number of opportunities to see would be 20

Opportunity to See reveals the typical frequency with which a person has encountered a specific advertising channel.

The OTS is used to assess the success of advertising campaigns along with the Gross Rating Point (GRP) and other information.

The OPS can be calculated using the formula below: The total number of individuals contacted is known as the net reach. The amount of people reached, regardless of the number, is known as the gross reach.

According to the question,

Number of places advertisement is placed = 4

Number of issues = 5

Therefore , Opportunities to see would be = 4 × 5

=> 20

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Answer:

No, Franco's calculation is incorrect.

Step-by-step explanation:

No, Franco's calculation is incorrect. The correct answer is 9.37 x 0.1 = 0.937.

When multiplying a decimal number by a decimal number, the decimal point in the product should be placed so that the number of decimal places in the product is equal to the sum of the number of decimal places in the factors. In this case, the number 9.37 has two decimal places, and the number 0.1 has one decimal place. Therefore, the product of 9.37 x 0.1 should have a total of 2 + 1 = 3 decimal places.

To obtain the correct answer, we need to multiply 9.37 x 0.1 using standard long multiplication:

Copy code

9.37

x 0.1

0.937

Therefore, the correct answer is 0.937, not 93.7 as Franco stated.

Answer:

No. This is incorrect.

Step-by-step explanation:

9.37 × 1 = 9.37

Times by 1 the number stays the same.

If you multiply by 0.1 the decimal will move one place and the 9.37 should get smaller! The sentence in the problem shows 93.7 which is bigger.

9.37 × 10 = 93.7

9.37 × 0.1 = 0.937

The relationship between the temperature and the coffee sales is if the temperature decreases then the number of coffee sales decreases.

So, option a is correct.

The SI unit of temperature according to the International System of Units is Kelvin, indicated by the sign K. The Kelvin scale is widely recognized or used in research and engineering. However, the global standard for measuring temperature is the Celsius or Fahrenheit scale. The unit of measurement known as temperature can be expressed on a number of scales, including the Fahrenheit and Celsius systems. Temperature depicts the direction in which heat energy spontaneously moves, i.e., from a hotter (body with a higher temperature) to a colder (body with a lower temperature) (one at a lower temperature).

The relationship between the temperature and the coffee sales is if the temperature decreases then the number of coffee sales decreases.

Hence, option a is correct.

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The mean of the given data is 12.4

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of values.

Given that, a data, 10, 12, 11, 13, 14, 12, 13, 14, 13, and 12

Arranging the data in ascending order, 10, 11, 12, 12, 12, 13, 13, 13 14, 14

The sum is = 10+12+11+13+14+12+13+14+13+12 = 124

Total number of data = 10

Mean = sum of the numbers/ total numbers of data

Mean = 124/10

Mean = 12.4

Hence, the required mean is 12.4

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The coordinate of the parabola's focus in the following equation, x2=6y, is (0,3/2)

What are Directrix and Focus?

What are a parabola's focus and directrix? Typically speaking, parabolas are the graphs of quadratic functions. They can alternatively be thought of as the collection of all points whose separation from the focus is the same as their separation from a certain line (the directrix).

What are the focus's coordinates?

The focus's coordinates f(0,a)

The equation that we have given is

x^2 = 6y

We are aware that the parabola's general equation is,

x^2 = 4ay

The axis of symmetry is a line that splits the parabola in half and runs through the focus.

We must ascertain the worth of

6y = 4ay

6 = 4a

a = 6/4 = 3/2

The focus' coordinate (0,3/2) is as a result.

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Rounding to seven decimal places, the probability that one individual would be selected by all witnesses is 0.0000128.

Six different witnesses chose the same individual from a lineup in a homicide case. There were 5 guys in the lineup. The likelihood that each of the six witnesses would choose the same person if the identifications were done based just on guesswork.

P = 1 ÷ 5 is the likelihood that a witness will choose a certain individual at random.

The likelihood that all seven witnesses would select the same subject is P = [tex](\frac{1}{5})^{7}[/tex]= 0.0000128.

Simply put, the probability is the likelihood that something will occur. We can discuss the probabilities of different outcomes to determine how likely they are if we are unclear about how an event will turn out.

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There is no solution to the given system of equations which is the correct answer would be an option (A).

The system of equations is given in the question as:

y = -3x+2 and 6x+2y = 10

These are two equations in the form y = mx + b, where m is the slope and b is the y-intercept.

The first equation, y = -3x + 2, has a slope of -3 and a y-intercept of 2.

The second equation, 6x + 2y = 10, can be rewritten in slope-intercept form as y = -3x + 5. This has a slope of -3 and a y-intercept of 5.

Since both equations have the same slope, they are parallel to each other. This means that they will never intersect, and there is no solution to this system of equations.

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The question seems to be incomplete the correct question would be:

Which statement is true about this system of equations?

y = -3x+2 and 6x+2y = 10

A. there is no solution

B. there is one solution

C. there is many infinite solutions

By using unitary method, it can be calculated that

Michael runs 4.23 miles in 23.5 minutes

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

This problem is based on unitary method

Michael runs 0.18 miles a minute.

Michael runs 1 mile in [tex]\frac{1}{0.18}[/tex] minutes

Michael runs 4.23 miles in [tex]\frac{1}{0.18} \times 4.23[/tex] minutes

Michael runs 4.23 miles in 23.5 minutes

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Answer: sqrt(89)

Step-by-step explanation:

let  x1=4 & y1=2

    and   x2=9 &y2=10

d= sqrt (x2-x1)^2+(y2-y1)^2

   =sqrt (9-4)^2+(10-2)^2

   =sqrt (5)^2+(8)^2

  =sqrt (25+64)

  =sqrt(89)

Refer to the photo taken. Would appreciate a rate :)

By analyzing the given line mathematically, we get the required slope of the line as 3.

A line's steepness and direction can be expressed as a value called slope. It is frequently represented in variable format by the letter m. Its gradient or rate of change are other names for a line's slope.

The rise over run or slope formula, often known as the vertical change in y divided by the horizontal change in x, To determine the change in y over the change in x, the slope formula requires two points, (x1, y1) and (x2, y2).

As from the Line,

Two points = (1,2), (2,5)

(x1, y1) = (1,2)

(x2,y2) = (2,5)

Using two point we can calculate slope as

= [tex]\frac{y2-y1}{x2-x1}[/tex]

Putting the points in the formula, we get:

[tex]\frac{5-2}{2-1}[/tex]

= 3

Hence, we get the required slope as 3.

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Mathematically, the balance on Howard Gessner's American Express card on September 1 is $360.63.

The ending balance on September 1 is determined using the mathematical operations of addition, subtraction, and multiplication (for the finance charge).

The finance charge is the interest and other fees paid for borrowing credit.

The finance charge is always based on a percentage, called the annual or monthly percentage rate (APR or MPR).

In this situation, the monthly percentage rate is applied to the unpaid balance (multiplication) at the end of August, to determine the finance charge, which is added to the unpaid balance to compute the September 1 balance.

August 1 Balance =        $543.27

Purchases                        201.25

Returns                            (89.22)

Payments                      (300.00)

Unpaid balance           $355.30

Finance charge                  5.33 ($355.30 x 1.5%)

September 1 Balance $360.63

Thus, using mathematical operations, the balance on September 1 is $360.63.

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Since the probabilities lie exclusively between 0 and 1 and the sum of probabilities is equal to 1 , therefore the yes , the distribution is discrete probability distribution.

As the probabilities range from 0 to 1, and the sum of probability equals 1.

Discrete probability distribution is a sort of probability distribution that provides all potential values of a discrete random variable along with the related probabilities. In other words, a discrete probability distribution describes the possibility of each potential value of a discrete random variable occurring.

Some common discrete probability distributions are geometric distributions, binomial distributions, and Bernoulli distributions. This page defines a discrete probability distribution, as well as its formulas, types, and numerous instances.

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Answer:

y = 5

Step-by-step explanation:

the line is horizontal and has always y = 5

Answer: 6,250

Step-by-step explanation: As the equation states there are 25 boxes with 250 packs of ketchup take the 25 boxes and multiply the 250 packets

250x25=6,250

The quadratic equation y = (2 / 5) · x² + (2 / 5) · x - 8 contains the points (- 5, 0), (0, - 8) and (4, 0).

In this problem we find the case of a parabola, parabolae are defined by quadratic equations of the form:

y = a · x² + b · x + c

Where:

First, write the points associated with the parabola:

(x₁, y₁) = (- 5, 0), (x₂, y₂) = (0, - 8), (x₃, y₃) = (4, 0)

Second, create a system of linear equations:

25 · a - 5 · b + c = 0

c = - 8

16 · a + 4 · b + c = 0

Third, resolve the system by numerical methods:

(a, b, c) = (2 / 5, 2 / 5, - 8)

Fourth, write the resulting quadratic equation:

y = (2 / 5) · x² + (2 / 5) · x - 8

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The remainder when 9234 is divided by 52 is 30

the quotient is 177 R 30

Division is onw of the mathematical operators that is applied in sharing.

The quotient is the result of dividing two numbers by each other, the number being divided is the dividend while the number dividing is the divisor.

As in the case of 9234 is being divided by 52, the dividend is 9234, while the divisor is 52 the result of the division is the quotient.

the division is done to get

9234 / 52

= 177 30/52

the remainder from the division involving 9234  and 52 is 30, the mixed number is 177 30/52

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Answer: The degree of a polynomial is the highest exponent of the variable in the polynomial. The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

In the expression "n + 8", the highest degree of the variable is 1 and the coefficient of the term with the highest degree is 1. Therefore, the degree of the polynomial is 1 and the leading coefficient is 1.

So, the degree of the polynomial is 1 and the leading coefficient is 1.

Note: If the expression had included terms with higher degrees of the variable, such as "n^2 + 3n + 8", the degree of the polynomial would have been 2 and the leading coefficient would have been 1.

Answer:

148 degrees

Step-by-step explanation:

b/c a line is 180 degrees and the angle given is 32 so 180- 32= 148

and the line is bisected at point p so it is 148 because of alternate interior angles.

Answer:

$28.89

Step-by-step explanation:

he subscription is on sale for 25% off, so the cost is $36 - (25% * $36) = $36 - $9 = $27.

Then, a 7% tax is added at checkout, so the total cost is $27 + (7% * $27) = $27 + $1.89 = $28.89.

Therefore, the total cost is $28.89.

Answer:

Step-by-step explanation:

36 will be 27 and  7% of 27 should be added 1,89 so 28,89

Answer: x=22

Step-by-step explanation:

Based on the given figure, we can tell that 2x and 44 are vertical angles. Vertical angles are congruent to each other, so we can set them equal to each other.

2x=44           [divide both sides by 2]

x=22

Therefore, x=22.

Answer:

Do u like m&m because I do

Answer:

There are 3 blue fish in the aquarium.

Step-by-step explanation:

Let the total number of fish be denoted by T, total number of blue fish be B and total number of red fish be R

We can write, T = B + R

Since the aquarium has one fewer redfish than blue fish, R = B - 1

So,

T = B + (B - 1) = 2B - 1

As 60% of total fish is blue, we can write

60% of T = B

or, (60/100) x T = B

or, 3/5 x T = B

or, 3/5 x (2B - 1) = B

or, 6B - 3 = 5B

or, 6B - 5B = 3

or B = 3

Therefore, there are 3 blue fish in the aquarium.

No. of red fish, R = B - 1 = 3 - 1 = 2

The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars is (D) 1/16.

The term Acceleration defined as the gravity at the surface of Mars is given by the formula

Gₙ = GM/R²

where

M refers mass of Mars

R refers radius of Mars

Here we need to find if we take a point which is at height 3 times the radius of Mars from its surface.

While we take the height 3 times the radius of Mars from its surface.

The it can be written as,

=> Gₙ = GM/(3R + R)²

When we expand it then we get.

=> Gₙ = GM/16R²

Therefore, the resulting gravity on the surface of the mars is 1/16.

So, the option (D) is correct.

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Answer:

x = 3+y

Step-by-step explanation:

is your ans .................

The probability of those that favors building the health center is 0.196

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favorable Outcomes/Number of total outcomes.

In a recent survey, 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the health center.

According to the scenario, 70% of the community favoured in building a health centre.

Hence , p=0.7.

In order to find the probability, binomial theorem will be used as follows :

= 0.196

Hence, The probability is 0.196

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