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QUESTION ON SCREENSHOT

Answer: D:22,

14,040-12,500=1540.  

1540/70 = 22

Answer:

4 gallons = 64 cups

1 gallons = 16 cups

3 gallons = 48 cups

The main purpose of statistical inferences is to make generalizations about a population from a small sample result.

Whenever we chart graphs, we try to represent raw data in tabular form. This data is mainly collected by us through surveys conducted on a small group of people, maybe our friends, family or anyone random. Through the data we receive, we can evaluate it to know results of out particular survey topic. Now, if we use this result to draw generalized conclusions about the whole population, then it is known as "inference" statistics. In inference statistics we donot limit the data to our sample size but rather use it to make predictions about the population.

For example: if we want to know the effictivity of a particular drug, we test it on a group of let's say, 100 people. The results show that about 75 treated got cured of the disease for which the drug was made to combat. Using statistical inference, we can conclude that in a population, the drug has an effictivity of 75%.

Further hypothesis can be conducted on the data using inferential statistics.

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We got the answer of the equation 65 X 589 X 653 -65 +36 = 25,000,076 by applying the BODMAS rule in the given equation.

By Applying the BODMAS rule we get the answer of this question. BODMAs rule says that firstly solve the bracket, them solve the off, then do division, after then go to multiplication, then do addition and lastly after the addition do subtraction.

The chain should be followed while solving the question. So in the given question we firstly do the multiplication i.e

65 X 589 X 653 which is equal to  25,000,105

After doing multiplication, we will move forward and do the addition i.e

25,000,105 + 36 which is equal to 25,000,141.

Lastly, we will do the subtraction after doing multiplication and addition i.e.

25,000,141 – 65 which is equal to 25,000,076.

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Using system of linear equations he will require 20kg of 15% copper and 30kg of 70% copper to produce an alloy of 48% in 50kg

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables.

To solve this problem, we need to write a system of linear equations and find the equivalent amount of the metal required to make the desired amount of the alloy.

0.15x + 0.7y = 0.48(50) ..eq(i)

0.15x + 0.7y = 24 ...eq(i)

x + y = 50 ...eq(ii)

solving equation (i) and (ii)

x = 20, y = 30

He needs 20kg of 15% copper and 30kg of 70% copper to get 48% of 50kg of alloy.

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By using the concept of function, it can be concluded that (-2, -1) needs to be removed to make the given relation a function

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here, from the figure, it can be seen that -2 has  two images,

2 and -1

So from the options given, the point (-2, -1) needs to be removed to make the given relation a function

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Complete Question

Input Output Which ordered pair needs to be removed in order for the mapping to represent a function? O (-3, -4) O (-2, -1) O (1, -3) O (3,7)​

Answer:

by dividing 10.

Step-by-step explanation:

100 percent if full. so to find ten percent, do 100 divided by 10.

The amount received for continous compounding for 50 yrs

Let A represent the total Amount received

Let P represent the principle

Let r represent the rate of interest

Let t represent the time taken

Then for Compound Interest(C.I)

A= P[tex][1 + \fract {r^{n}}{100}]^{t}[/tex]

the formula given above is used when we have to calculate the amount for a small amount of time such as 5-10 yrs

When talking about continuous compounding, i.e. where compounding interest takes place directly for a long period of time then we use the formula:

A= P[tex]e^{rt}[/tex]

Given in Question:

P= $25,000

r=8%

t=50

Then using the formula for continuous compounding:

A= P[tex]e^{rt}[/tex]

A= 25000([tex]e^{(0.08)(50)}[/tex])

A = 25000 x [tex]e^{4}[/tex]

A = 25000 x 54.598

A = $1,364,953.7508

A≈ $1,364,953.751

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The expressions that are equivalent to 4b can be 2b + 2b and 5b - b.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations

In this case, it should be noted that examples such as:

5b - b = 4b

3b + b = 4b

2b + 2b = 4b

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The number of ways jokes can be delivered if a man told the jokes first is; 120 ways

The six jokes are;

1. Little boy's joke about books.

2. Little girl's joke about books.

3. Teenage girl's joke about books

4. Teenage boy's joke about books.

5. Man's joke about books.

6. Woman's joke about books.

Now, we are told that the mans joke must be first.

Thus;

Number of ways to tell first joke = 1 way

Number of ways to tell second joke = 5 ways

Number of ways to tell third joke = 4 ways

Number of ways to tell fourth joke = 3 ways

Number of ways to tell fifth joke = 2 ways

Number of ways to tell sixth joke = 1 way

Thus;

Number of ways jokes can be delivered in this manner =

1 * 5 * 4 * 3 * 2 * 1 = 120 ways.

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The current proportion of babies born to unmarried parents.

Given that,

In the United States, newborns born to unmarried parents make up more than half of all births. We are interested in learning if this ratio is rising. How should the population parameter be defined?

To find : Define the population parameter that interest ?

The present proportion of children born to unmarried parents should be our population parameter of interest since we want to know if the proportion is rising.

Our population parameter of interest should be the current proportion of children born to unmarried parents since we want to know if the proportion is increasing.

Therefore, the current percentage of children born to unmarried parents option (a) is right.

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Adam Vinatieri made 14 field goals and 7 extra points.

Given that,

a field goal is 3 points and the field goal after a touchdown is only 1 point.

Adam Vinatieri made 21 field goals and extra point kicks for 49 points.

Let x be the number of field goals and y be the extra point kicks.

So we get,

x + y = 21 -------------(1)

3x + y = 49 -----------(2)

Subtracting equation (1) from equation (2),

2x = 28

 x = 14

putting the value of x in equation (1),

14 + y = 21

       y = 7

Therefore Adam Vinatieri made 14 field goals and 7 extra points.

Field goal means a score of three points in football made by drop kicking or placekicking the ball over the crossbar from ordinary play. A field goal is a successful kick of the ball by a kicker through the goalpost. It is an offensive play that can score three points for a team.

Adam Vinatieri is an American former football placekicker who played in the National Football League.

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The 33rd percentile is 75.4.

Percentile is defined as the value below which a given percentage falls under. The percentile formula is used when we need to compare the exact values or numbers over the other numbers from the given data i.e. the accuracy of the number.

To find the percentile, here are a few steps to use the percentile formula. If q is any number between zero and hundred, the qth percentile is a value that divides the data into two parts i.e the lowest part contains the q percent of the data and the rest of the data is the upper part.

We find the rank.

Rank = Percentile ÷ 100

Rank = 33 ÷ 100 = 0.33

So, the rank is 0.33.

Using the percentile formula,

Percentile = Rank × Total number of the data set

Percentile = 0.33 × 117

Percentile = 38.61 ≅ 39

Now, counting 39 values from left to right we reach 75.4, and we can say that all the values below 75.4 will come under the 33rd percentile. In other words, 33% of the values are below 75.4.

Therefore, the 33rd percentile is 75.4.

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There is not sufficient evidence at the 0.02 level of significance to say that the percentage is less than 59%.

The correct option is (b)

Now, According to the question:

In this problem, we have the following hypothesis:

[tex]H_0[/tex] : μ [tex]\geq[/tex] 0.59

[tex]H_\alpha[/tex] : μ < 0.59

The null hypothesis is the prevailing claim which the study is testing, and the alternative hypothesis is what the study is trying to prove. The null hypothesis can either be rejected or not rejected by a sample study. A sample study cannot say that the claim is absolutely correct. Only a count of the whole population can do that, and that could change at any time. In this study, the null was not rejected. The study did not have enough evidence to reject the null.

Hence, There is not sufficient evidence at the 0.02 level of significance to say that the percentage is less than 59%.

The correct option is (b)

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The complete question is this:

A newsletter publisher believes that less than 59% of their readers own a Rolls Royce. For marketing purposes, an advertiser wants to confirm his claim. After performing a test at the 0.02 level of significance, the advertiser failed to reject the null hypothesis.

What is the conclusion regarding the publisher's claim? Select one:

a) There is sufficient evidence at the 0.02 level of significance that the percentage is less than 59%.

b) There is not sufficient evidence at the 0.02 level of significance to say that the percentage is less than 59%.

The length of longer piece, which is 65% of original bar, 9.75 inch.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that length of chocolate bar is 15 inch.

And Lamont breaks it into two pieces.

one part has 35% of original bar,

so other part has 100 - 35 = 65% of original chocolate bar.

Now, 65% of 15 inch

= 15 × 65 / 100

= 9.75 inch  

Therefore, the length of longer piece, which is 65% of original chocolate bar, 9.75 inch.

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The 20% off of Jeremy's purchases is $5.50.

What is discount?

Discount is a noun that designates a sum or a portion taken off of a product's suggested retail price. Check to see if you really need all of that stuff before waiting until after the holiday to buy it. A good or service's price being reduced is referred to by the noun discount.

Given:

Jeremy has a 20%-off coupon for his purchases at a store.

His total purchases are $27.50 without the coupon.

We have to find the 20% off (discount) of Jeremy's purchases.

The 20% off on $27.50 is.

$27.50 x 20% = $27.50 x 0.20 = $5.50

Hence, the 20% off of Jeremy's purchases is $5.50.

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Answer:

c. the Centroid

Step-by-step explanation:

⭐What is a centroid?

❌The answer is not A because:

❌The answer is not B because:

❌The answer is not D because:

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Multiply the numerator and denominator by the conjugate of the denominator to simplify (2+i/(2-i)).

To determine, multiply the denominator's conjugate by the numerator and denominator.

[tex]\frac{2+i}{1-i} = \frac{1}{2} +\frac{3}{2}i[/tex]

The complex number a + bi has the conjugate a-bi. A real number is the result of a complex number and its conjugate. This knowledge will be used to remove the complex number from the given expression's denominator.

[tex]\frac{2+i}{1-i} = \frac{(2+i)(1+i)}{(1-i)(1+i)} \\=\frac{2+2i+i-1}{1+i-i+1} \\=\frac{1+3i}{2} \\=\frac{1}{2} +\frac{3}{2} i[/tex]

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Reject the null hypothesis because [tex]$p$[/tex]-value [tex]$=0.0045$[/tex] is less than the Significance level x=0.025.

The null hypothesis is a widely used statistical theory that states that for any given single observable variable, there is no statistical relationship or significance between any two sets of observed data and measured events.

According to the given information

[tex]& H_0: \mu=57 \\[/tex]

[tex]& H_a ; \mu > 57 \\[/tex]

[tex]& \alpha=0.025 \\[/tex]

[tex]& \text { Test Statistic }=2.61[/tex]

So,

This is right tailed test

[tex]& \text { Using } z \text { table } \\[/tex]

[tex]& p(z > 2.61) \\[/tex]

[tex]&= 1-p(z < 2.61) \\[/tex]

[tex]&= 1-0.9955 \\[/tex]

[tex]& p \text {-value }= 0.0045[/tex]

Reject the null hypothesis because [tex]$p$[/tex]-value [tex]$=0.0045$[/tex] is less than the Significance level x=0.025.

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The equation of the circle is x²+y²-x-y+0.25=0

What is a circle?

A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced apart from the centre. The radius of a circle is measured from the centre to the edge. The line that splits a circle into two identical halves is its diameter, which is also twice as wide as its radius.

For a circle with radius r and center (h,k), its equation would be (x-h)² + (y-k)² = r²

Given, center is (0.5,0.5) and radius is 0.5, h=0.5, k=0.5, r=0.5

The equation becomes:

(x-0.5)² + (y-0.5)² = 0.5²

⇒x²+0.25-x+y²+0.25-y=0.25

⇒x²+y²-x-y+0.25=0

Thus, the equation of a circle becomes x²+y²-x-y+0.25=0

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The amount of tax is  $4,622.40 owed on a taxable income of $38,520. which is the correct answer would be option (C).

As per the given question, the marginal tax rate chart as

Marginal Tax Rate           Chart Tax Bracket

$0 –$10,275                                  10%

$10,276 –$41,175                           12%

$41,176 –$89,075                          22%

$89,076 –$170,050                      24%

$170,051 –$215,950                      32%

$215,951 –$539,900                     35%

> $539,901                                     37%

So, the effective tax rate for income of $38,520 lies in the range of a marginal tax rate of 12%.

So, the effective tax ;

⇒ 12% of $38,520

⇒ (12/100)38,520

⇒ $4,622.40

Thus, the amount of tax is  $4,622.40 owed on a taxable income of $38,520.

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E. All are necessary to determine sample size is not a piece of required information in order to determine sample size.

Determining an appropriate sample size is an important step in the research process as it helps to ensure that the results from the sample will be representative of the population as a whole. In order to accurately determine the appropriate sample size, you need to have an estimated population standard deviation, an estimated population median, an acceptable level of sampling error, and a desired level of confidence. The population standard deviation and median will help you determine the central tendency and variability of the population, while the acceptable level of sampling error and desired level of confidence will help you determine the margin of error you are willing to accept in your results. All four of these pieces of information must be taken into consideration in order to accurately determine the appropriate sample size.

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The probability that we are lucky and find both of the defective fuses in the first two tests with replacement is 1/13 and without replacement is 12/169.

In the given question, 9 good fuses and 4 defective ones have been mixed up.

To find the defective fuses, we test them one-by-one, at random.

We have to find the probability that we are lucky and find both of the defective fuses in the first two tests.

1). with replacement

2). without replacement

There are 9 good fuses and 4 defective ones.

So the total number of defective fuses = 9+4 = 13

Now the probability first test will find a defective is 4/13

Without replacement, 2nd will find another defective with probability = 3/12.  

Probability of finding 2 defectives on 1st two tests is

P(R) = 4/13 x 3/12

P(R) = 12/156

P(R) = 1/13

Now the with replacement the probability is

P(E) = 4/13 x 3/13

P(E) = 12/169

The probability that we are lucky and find both of the defective fuses in the first two tests with replacement is 1/13 and without replacement is 12/169.

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Answer:

b

Step-by-step explanation:

The 95% tolerance limits that contain 95% of the diameters is 2.262

Diameter:

In math, the straight line passing through the center of a circle or sphere and meeting the circumference or surface at each end is known as diameter.

Given,

Here we need to find the 95% tolerance limits that contain 95% of the diameters estimation of the mean diameter, while important, is not nearly as important as trying to pin down the location of the majority of the distribution of diameters.

According to the given question we have identified the following values,

Tolerance percentage = 95%

Diameter percentage = 95%

x = 61,492

n = 10

s = 3035

c = 95% = 0.95

Now, the value of t is determine by looking in the row starting with degrees of freedom 

=> df = n−1 = 10−1 = 9 and in the column with 

=> α/2 = (1−c)/2

=>0.025 

Then as per the table of the Student’s T distribution:

=> tα​=2.262

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Answer: whats up

hello

Step-by-step explanation:

Therefore ,the speed at height 40 feet in the air = 16*40=640 feet/sec

A mathematical function from one set X to another gives each element of X exactly one element of the other. The sets X and Y, respectively, represent the function's domain and codomain.

Here,

the given function is

f(t)=−8[tex]t^{2}[/tex]+25

Therefore, the speed of the ball can be calculated by using derivative of f(t)

f(t)=−8[tex]t^{2}[/tex]+25

Differentiating f(t) w.r.t  t

=> d(f(t)/dt=-8*2t

=> d(f(t)/dt=-16t

Therefore the speed at height 40 feet in the air = 16*40=640 feet/sec

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Hello,

I hope you and your family are doing well!

The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the line segment. If the coordinates of one endpoint of the line segment are (x1, y1) and the coordinates of the other endpoint are (x2, y2), then the coordinates of the midpoint M are given by the following formula:

M = ((x1 + x2)/2, (y1 + y2)/2)

In this case, we are given that the coordinates of A are (7, 8) and the coordinates of the midpoint M are (5, 5). We can use these values to find the coordinates of B using the formula above:

M = ((x1 + x2)/2, (y1 + y2)/2)

(5, 5) = ((7 + x2)/2, (8 + y2)/2)

Substituting the known values and solving for x2 and y2, we get:

5 = (7 + x2)/2

10 = 7 + x2

x2 = 3

5 = (8 + y2)/2

10 = 8 + y2

y2 = 2

Therefore, the coordinates of B are (3, 2).

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Answer:

(3,2)

Step-by-step explanation:

x: 5 to 7 is 2 up, so 5  down 2 is 3.

Y: 5 to 8 is 3, so 5 down 3 is 2.

The smallest rational number among -5/16, -13/24, -3/4, and -7/12 is -3/4.

We have,

To determine the smallest rational number among -5/16, -13/24, -3/4, and -7/12, we need to compare their values.

Let's convert all the given rational numbers to have a common denominator of 48:

-5/16 = -15/48

-13/24 = -26/48

-3/4 = -36/48

-7/12 = -28/48

Now, the values of these rational numbers, when expressed with a common denominator, are:

-15/48, -26/48, -36/48, -28/48

Among these values, the smallest one is -36/48, which is equivalent to -3/4.

Therefore,

The smallest rational number among -5/16, -13/24, -3/4, and -7/12 is -3/4.

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