This is an arithmetic sequence.
8, 7.4, 6.8, 6.2, 5.6, …
Which function describes the sequence?
A. f(x) = 0.6x + 8
B. f(x) = 0.6x + 8.6
C. f(x) = −0.6x + 8
D. f(x) = −0.6x + 8.6

Answer:

Step-by-step explanation:

- Hint: In this question we asked to find the Simple interest. Here, we will calculate simple interest for 4 years at 8% per annum by using the formula of simple interest (SI) =PRN100 .

Complete step-by-step solution -

To find the simple interest first we will know about simple interest.

Simple interest is based on principal amount for a fixed period of time. The amount which we deposit or take loan from the bank is known as principal amount. The period of time for which the money is lent is known as time on interest.

Now, we will calculate here simple interest,

SI =PRN100

Where P (principal amount) = Rs. 3000

R (Rate of interest) = 8%

N (number of period) = 4 years

So, finding simple interest by putting all the value, we get

=3000×8×4100

=30×8×4

=960 Rs.

The equation for the line of best fit to predict the salary for an employee with 6 years of experience is $58,587.

The letter m is frequently used to represent slope; the reason for this is unclear, although it is first used in English by O'Brien in 1844, who wrote the equation for a straight line as "y = mx + b," and by Todhunter in 1888, who wrote it as "y = mx + c."

Finding the ratio of "vertical change" to "horizontal change" between any two unique locations on a line yields the slope. When the ratio is stated as a quotient ("rise over run"), the result is the same for each

We have to take any two points in the given information and find the value of slope.

Let the two points are (0, 52000), (1, 53,150)

m=(53150-52000)/(1-0)

m=1150

Therefore, slope=1150

Now, the equation of the line is y=mx+b

52000=1150(0)+c

c=52000

Therefore, y=1150x+52000

For 6 years experience,

Take x=6 then,

y=1150(6)+52000

y=6900+5200

y=58,900

y=$58,900≈58,587

To know more about slope, visit:

https://brainly.com/question/3605446

#SPJ1

Answer:

$58,587.

Step-by-step explanation:

The function in the graph is y = x² - 1 and the inverse of the function is y = √(x + 1) and the graph is attached

Examining the graph the vertex is v(h, k) = (0, -1)

Quadratic equation is of the form

y = a(x + h)² + k

using the vertex we write the equation as

y = a(x + 0)² - 1

using point (1, 0) a is calculated

0 = a(1 + 0)² - 1

a = 1

The equation of the graph is

y = a(x + 0)² - 1

y = x² - 1

The domain of the equation is all real numbers and the range is calculated from the inverse

x = √(y + 1)

y + 1 ≥ 0

y ≥ -1

Inverse function

y = x² - 1

x² = y + 1

x = ±√(y + 1)

exchanging the variables

y = ±√(x + 1)

taking the positive function

y = √(x + 1)

here the domain and range is exchanged

range: all real numbers

domain: x  ≥ -1

Learn more about inverse functions at:

https://brainly.com/question/19425567

#SPJ1

A Z-score is a metric that quantifies the connection between a value and the mean of a set of values.

z-scores are calculated by (observed value - mean)/standard deviation

Mean = 40

Standard Deviation = 8

Observed Value = 52

z-score = (52 - 40)/8 = 2

Learn more about z score here

https://brainly.com/question/15016913

#SPJ4

Answer:

a = [tex]\frac{8}{29}[/tex]

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

The player who has the better record between Jamal and Brian as required in the task content is; Jamal.

It follows from the task content that the player who has the better record between Jamal and Brian is to be determined.

Since it is given that Jamal and Brian 7/9 and 5/8 of their free throws respectively;

It follows that when expressed as a percentage; we have;

For Jamal;

7 / 9 × 100% = 77.78%

For Brian;

5 / 8 × 100% = 62.5%.

Ultimately, the player who has the better record for free throws is; Jamal since he has a greater percentage success rate for free throws.

Read more on fractions;

https://brainly.com/question/8108021

#SPJ1

Answer:

why u remove my answer

Step-by-step explanation:

Answer: 88

Step-by-step explanation:

x^2 - xy

8^2-(8(-3))

64-(-24)

64+24

88

Answer:

12.78

Step-by-step explanation:

He has 25.65, sold 3.87. 25.65-3.87=21.78

A person's tendency to believe he/she can predict the outcome of random events is known as the Hindsight bias

An event is the total number of results from a random experiment. Trial results are the outcome. The outcome of an event is the totality of all potential outcomes. To better understand this, let's use an example. Example: Chances of rolling a die and getting the desired number

The three types of outcomes are Organizational outcomes, Team outcomes, and Personal or Individual outcomes.

A psychological phenomenon called hindsight bias enables people to persuade themselves after an occurrence that they correctly predicted it before it occurred. People may get the conclusion that they can foresee subsequent occurrences with accuracy as a result.

To learn more about outcomes click the following link:-

https://brainly.com/question/25688842

#SPJ4

Answer:

25.12  pulgadas

Step-by-step explanation:

The simple interest on the amount $198,562 mortgage at 3.99% will be $7922.62.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.

As per the given,

Principle amount P = $198,562

Rate = 3.99%

Interest amount = 3.99% of $198,562

⇒ (3.99/100)198562 = $7922.62

Hence "The simple interest on the amount of $198,562 mortgage at 3.99% will be $7922.62".

For more about simple interests

https://brainly.com/question/25845758

#SPJ1

Answer: I think the answer is A.

Answer:

7

Step-by-step:

2 * 7 =14 first due to PEMDAS

3 + 14 = 17

Answer:

7

Step-by-step explanation:

Let "x" be denoted as the variable for "what".

The question posted is: 3 + 2x = 17

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 3 from both sides of the equation:

2x + 3 = 17

2x + 3 (-3) = 17 (-3)

2x = 17 - 3

2x = 14

Next, divide 2 from both sides of the equation:

(2x)/2 = (14)/2

x = 14/2

x = 7

7 is your answer.

~

Learn more about PEMDAS, here:

https://brainly.com/question/26499272 - See AadhPrit's answer.

The number of tomatoes weight between 73 grams and 178 grams is 978.

A data set's mean provides the average  and the standard deviation provides information on the range (dispersion) of values around the mean. Squaring is used to determine standard deviation but not mean.

The mean changes when the same value is added to each data point, but the standard deviation remains unchanged.

The standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

To learn more about mean

https://brainly.com/question/23100831

#SPJ4

You must count the instances of each rule and the instances of each item in each rule separately using the data in the Excel file in order to determine the support, confidence, and lift of a rule.

Open the Excel file and look for the information on the options ordered for the specific model of car. This information will probably be presented as a table or a group of columns, where each row represents a distinct order and each column a different choice.

You must count the instances of the rule's components occurring together in the data in order to calculate the support for a rule. You would need to track how frequently the fastest engine choice and the traction control option are selected together, for instance, if the rule is "If the quickest engine, then traction control." This can be accomplished by counting the number of cells in a range that satisfy a specific condition using Excel's COUNTIF function.

The confidence in a rule is calculated by dividing the total number of times the items in the premise (the "if" component of the rule) occur by the total number of times the items in the rule. The number of times the fastest engine and traction control options are selected together must be divided by the total number of times the fastest engine option is ordered, for instance, if the rule is "If the fastest engine, then traction control."

You must divide the rule's confidence by the support of the item in the rule's conclusion to determine the lift of a rule (the "then" part of the rule). You would need to divide the rule's confidence by the support for the traction control option, for instance, if the rule is "If the quickest engine, then traction control."

To calculate the support, confidence, and lift for each of the rules, you can use the Excel formulas indicated above together with any other Excel functions or tools you are familiar with.

It is crucial to keep in mind that the precise formulas and processes you will need to follow will depend on the exact data and rules you are working with, so you might need to modify the following instructions to suit your personal needs.

To learn more about correlation matrix: https://brainly.com/question/28091015

#SPJ4

Answer:

17.85

Step-by-step explanation:

You first divide 12.75 by 5, to see the price for one pound of pretzels. Then, you times that by 7, because you want to know how much it would cost for Lupita to but 7 pounds of pretzels. That would equal 47.85, which is your answer.

By using Probability, it can be calculated that

a) Probability that the person test positive for HIV is infected with HIV = 0.54

b) Probability that the person test positive for HIV is not infected with HIV = 0.46

c) Probability that the person test negative for HIV is infected with HIV = 0.0056

d) Probability that the person test negative for HIV is not infected with HIV (P(not HIV|-ve)) = 0.9944

What is Probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Probability that the person is infected with HIV (P(HIV)) = 0.08

Probability that the person is not infected with HIV (P(not HIV)) = 0.92

Probability that the person infected with HIV test positive (P(+ve|HIV)) = 0.94

Probability that the person infected with HIV test negative (P(-ve|HIV)) = 0.06

Probability that the person not infected with HIV test positive (P(+ve|not HIV)) = 0.07

Probability that the person not  infected with HIV test negative (P(-ve|not HIV)) = 0.93

By using Baye's Theorem of probability,

a) Probability that the person test positive for HIV is infected with HIV (P(HIV|+ve))  =

[tex]\frac{0.94 \times 0.08}{0.94 \times 0.08 + 0.92 \times 0.07}[/tex] = 0.54

b) Probability that the person test positive for HIV is not infected with HIV   (P(no HIV|+ve)) = 1 -  0.54 = 0.46

c) Probability that the person test negative for HIV is infected with HIV (P(HIV|-ve) =

[tex]\frac{0.06 \times 0.08}{0.06 \times 0.08 + 0.93 \times 0.92}[/tex] = 0.0056

d) Probability that the person test negative for HIV is not infected with HIV (P(not HIV|-ve))  = 1 - 0.0056 = 0.9944

To learn more about probability, refer to the link-

https://brainly.com/question/13604758

#SPJ4

Complete Question

Suppose that 8% of the patients tested in a clinic are infected with hiv. furthermore, suppose that when a blood test for hiv is given, 94% of the patients infected with hiv test positive and that 7% of the patients not infected with hiv test positive. what is the probability that

a) The person test positive for HIV is infected with HIV

b) The person test positive for HIV is not infected with HIV

c) The person test negative for HIV is infected with HIV

d) The person test negative for HIV is not infected with HIV

Answer:

The answer is the third one. It means less than 3 degrees. So X is less than 3 degrees meaning the degrees of the freezer is below 3 degrees.

Step-by-step explanation:

The smallest whole number of inches that could be my sister's height will be equal to 55 inches.

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given information in the question,

Let me be n inches tall, while my sister is m inches tall.

I'm my sister's tallest by over $2 inches.

So, the equation obtained is,

n = 2 + m             (1)

However, if we treble her height, it would be more than 51 inches taller than I am.

So, the equation will be,

3m = 51 + 2n            (2)

We need to find the value of m.

In the equation, n should be replaced with the aforementioned value (2)

3m = 51 + 2(2 + m)

3m = 51 + 4 + 2m

3m - 2m = 51 + 4

m = 55 inches

To know more about Equation:

https://brainly.com/question/29657983

#SPJ1

This fails to reject the null Hypothesis.

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

a recent survey reported that small businesses spend 24 hours a week marketing their business.

these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week.

assuming that the population standard deviation is 6.1 hours.

z = x'- u / α(/√n) = (5.05-4.50/1.83/√38) = 1.85

Hence, This fails to reject the null Hypothesis.

Learn more about z test, by the following link.

brainly.com/question/17144617

#SPJ4

The 1.9 × 103 is 2.15 times smaller than 4.085 × 105. (Option B)

In order to determine a number is how many times smaller than the other number, the second number is divided by the first number. Division and multiplication, both used in the situation are basic arithmetic operations. In the give case, the in order to determine how many times smaller 1.9 x 103 is than 4.085 x 105, is given by

4.085 x 105/1.9 x 103

First simplifying by multiplying the terms in the numerator and denominator

4.085 x 105/1.9 x 103

428.925/195.7

Dividing the numerator by denominator,

428.925/195.7 = 2.15

Learn more about Times smaller than:

https://brainly.com/question/28161739

#SPJ4

Answer: 2n-1

Step-by-step explanation:

The constant of proportionality for the given equation is 7.

What is constant of proportionality?

The ratio that establishes a proportional relationship between any two given values is referred to as the constant of proportionality. The constant of proportionality may also be referred to by the names constant ratio, constant rate, unit rate, constant of variation, or even rate of change.

Given:

The equation C = 7M and represents how many ice cream cones see are sold within a certain number of minutes M add a certain ice cream shop.

We have to find the constant of proportionality.

Since, if the equation is of the form y = kx,

then k is the constant of proportionality.

Here the given equation is

C = 7M

Hence, the constant of proportionality is 7.

Option (B) is the correct answer.

To know more about constant of proportionality, click on the link

https://brainly.com/question/28413384

#SPJ4

The answer is 7

...........

Therefore option B is correct

Have a nice day! ( :  > )

The total number of games would be 15 games.

What are the Permutation and Combination?

Permutations and combinations are the various ways in which objects from a set can be selected to form subsets, generally without replacement. When the order of selection is a factor, this selection of subsets is called a permutation; when it is not, it is called a combination.

Consider each team playing with the other team once

Total number of games scheduled = Number of ways of selecting 2 from 6 teams

               [tex]=^nC_r\\\\=^6C_2\\\\=\frac{6!}{2!*4!}\\\\=15[/tex]

Hence the total number of games would be 15 games.

To learn more about permutation and combination, visit:

https://brainly.com/question/28065038

#SPJ4

It reaches a high of 51.8 degrees Fahrenheit. There is a 59.4 degree F range. 12.6 degrees Fahrenheit is the standard deviation. The average temperature is 33.8°F. The median temperature is 35.6 °F. IQR is 60.8 degrees Fahrenheit.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem. The study of gathering, analyzing, interpreting, presenting, and organizing data in a particular way is the focus of the mathematic branch known as statistics. The process of gathering data, classifying it, presenting it in a way that makes it understandable, and then conducting additional analyses of the data is known as statistics.

To know more about statistics,

https://brainly.com/question/16765198

#SPJ4

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 18}}{\left( \cfrac{30}{100} \right)18}\implies 5.4[/tex]

(a) The probability that there will be exactly 3 eruptions in the next 200 years is 0.1404

(b) The probability the next eruption occurs between 25 and 50 years is 0.2488

Let X be the random variable denoting the volcanic eruptions as follows

Poisson distribution with parameters  λ.

the average of the eruption is  λ=2.5 per year.

Also for 200 eruptions the average of the eruptions is  λ=2.5 per year.

Also, for 200 eruptions, the average of the eruptions is  λ=5 per year.

The probability is:

P(X=3) = e⁻³(5)³/3!

= 0.0067×125/3×2×1

= 0.8422/6

= 0.1404

(b) Let X be the random variable denoting the volcanic eruptions as follows

Poisson distribution with parameters  λ and also let 2.5 eruptions in 100 years is same as waiting time of:

100/2.5

= 40 years per eruption

therefore, X ~ Exp(β=40)

the probability density function of X is:

f(x) = { 1/40 e⁻¹/⁴⁰ , x>0

          0 ,  otherwise}

And cumulative distribution function is:

P(X≤x) = 1 - e, x>0

the probability is:

P(25<X<50) = P(X<50)-P(X<25)

P(25<X<50) = e²⁵/⁴⁰ - e⁵⁰/⁴⁰

= e⁻°·°²⁵ - e⁻¹·²⁵

= 0.5353 - 0.2865

= 0.2488

Hence we get the required answer.

Learn more about Probability here:

brainly.com/question/25688842

#SPJ4

The number line is shown in figure.

What is Number line?

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

Stock in Boomer Branding, Inc. started the week at $26.50 per share.

During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25)

Now,

Since, During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25)

Hence, All the number is shown in figure on that place.

Thus, The number line is shown in figure.

Learn more about the number line visit:

https://brainly.com/question/24644930

#SPJ1