Write the smallest digit and the greatest digit replacing * in each of the following numbers. so that the number formed is divisible by 3. (i) 6702* (ii) *8768​

Step-by-step explanation:

f[g(X)]

=f(X+5)

=(x+3)+5

=x+8

Ans: fg(x)=x+8

Step-by-step explanation:

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A taxpayer's taxable income is reduced by the standard deduction. It makes sure that only families who make more than a specific amount of money will have to pay income tax. When submitting their tax returns, taxpayers have the option to take the standard deduction, which lowers their taxable income and the amount of taxes they must pay.

You might have to spend more time on your tax return. If you itemize, you'll need to set aside extra time when preparing your returns to fill out the big enchilada of tax forms: the Form 1040 and Schedule A, as well as the supporting schedules that feed into those forms.

Add up your itemized deductions and compare the total to the standard deduction available for your filing status. If your itemized deductions are greater than the standard deduction, then itemizing makes sense for you. If you're below that threshold, then claiming the standard deduction makes more sense.

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Answer:

x = 14+

Step-by-step explanation:

If 14 + 14 = 28

Then

28 > 27 is true.

Answer:

The 90% confidence interval is   \(15.66< \mu < 15.94 \)

Step-by-step explanation:

From the question we are told that

  The population standard deviation is  \(\sigma = 2.2\)

  The  sample mean is  \(\= x = 15.8 \ gallon\)

   The sample size is  n  =  669

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 90 ) \%\)

=>   \(\alpha = 0.10\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.645\)

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>  \(E = 1.645  *  \frac{ 2.2}{\sqrt{669} }\)

=>  \(E = 0.1399\)

Generally 90% confidence interval is mathematically represented as  

      \(\= x -E <  \mu <  \=x  +E\)

=>    \(15.8  - 0.1399 <\mu<  15.8  + 0.1399 \)

=>    \(15.66< \mu < 15.94 \)

In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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Answer:

41.25

Step-by-step explanation:

(1) area = 5.5 × 7.5

(2) area = 41.25

:)

Answer:More than nine-in-ten Hispanics identify with a specific religion. That, along with several other measures of belief and behavior, means that Hispanics as a group are highly religious. How does this affinity for spirituality vary among Latinos with different demographic characteristics or religious affiliations? And how precisely do the religious beliefs of Latinos set them apart from the rest of the population?

Step-by-step explanation:

Answer:

B) 4/6 · 4/6

Step-by-step explanation:

We know

You randomly draw marbles from a bag containing 4 blue and 2 green marbles.

4 + 2 = 6 marbles

So, there are a total of 6 marbles in the bag

First, in the time draw, the ratio is 4/6, because there are 4 blue in a total of 6 marbles.

Replacing the marbles between draws.

So, there are still a total of 6 marbles in the second time draw.

The ratio is still 4/6 for the second time drawing.

So, the answer is B) 4/6 · 4/6

Answer:

Can you be more specific on this question?

Step-by-step explanation:

a. 2√21 units

Hi there !

Area formula

A = π·r²

84π = πr²

r² = 84π/π

r² = 84

r² = 2²×3×7

r = √2²×3×7

r = 2√3×7

r = 2√21

Good luck !

Answer:

9

Step-by-step explanation:

Divide 7 7/8 by 7/8:

7 7/8 ÷ 7/8

= 9

So, the cook made 9 servings of chicken soup

The mean for the number of people with the genetic mutation in such groups of 600 is 18.

Given that,

About 3% of the population has a particular genetic mutation.

This means that for any group of people, 3% of the people has a particular genetic mutation.

This is a binomial distribution.

Probability that people having genetic mutation = 3% = 0.03

Random sample size = 600

Mean for a binomial distribution can be calculated as,

Mean = n × p

         = 600 × 0.03

         = 18

Hence the mean number of people having genetic mutation is 18.

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Uri paid a total of $85.47 for the landscaping service including tax and tip.

Taxes are compulsory payments made by a government organisation, whether local, regional, or federal, to people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools. Taxes are borne by whoever bears the cost of the tax in economics, whether this is the entity being taxed, such as a business, or the final users of the items produced by the firm. Taxes should be taken into consideration from an accounting standpoint, including payroll taxes, federal and state income taxes, and sales taxes.

Given that company charged $74 for the service plus 5% tax.

The tax is 5%, that is:

Tax = 5% of $74 = 0.05 x $74 = $3.70

Cost after tax = $74 + $3.70 = $77.70

Now, tip is 10%:

Tip = 10% of $77.70 = 0.10 x $77.70 = $7.77

Total cost = $77.70 + $7.77 = $85.47

Hence, Uri paid a total of $85.47 for the landscaping service including tax and tip.

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When the population standard deviation, is unknown, a hypothesis test for the population mean is conducted the same way as if the population standard deviation were known. The t-distribution is used instead of the conventional normal distribution, which is the only distinction (z-distribution).

Answer:

a) The warmest temperature will be the one where the value of the temperature is the largest, in the table we can see that the largest temperature is 3°C on Saturday.

Then the largest temperature was on Saturday, and it was 3°C

b) Which temperature was the coldest?

Now we need to look at the smallest temperature (or the largest negative temperature). In the table we can see that the smallest temperature is -6°C on Friday.

Then the smallest temperature is -6°C.

c) On Thursday the temperature was -1°C

On Saturday the temperature was 3°C

The difference between the temperatures is:

-1°C - (3°C) = -4°C

This means that Thursday was -4°C colder than on Saturday.

d) On Sunday, the temperature was 5°C lower than on Saturday.

On Saturday the temperature was 3°C, then the temperature on Sunday is:

T = 3°C - 5°C = -2°C

The temperature on Sunday is -3°C.

Answer:

List Price = $ 20.30

Discount Amount = $ 1.22

If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and  \(\frac{9K}{8}\)

Spring stiffness is a characteristic that describes the relationship between load and deflection. If k is stiffness, P is load, and x is deflection, P = kx. The smaller the deflection at a constant load, the stiffer the spring, k.

Given that,

If spring A has a spring constant which is 8 times spring B's spring constant,

Let us assume,

A spring is cut into two parts of length La and Lb

Also given that La : Lb

La : Lb = 1 : 8

The total of spring constant is = 1 + 8 = 9

If the length of spring is L , then La

La = \(\frac{L}{9}\)

And length of B , Lb

Lb = \(\frac{8L}{9}\)

We know, for spring force , spring constant or stiffness of spring is inversely proportional to length of spring .

K ∝ 1 / L

If initial spring constant is k then,

kL= KaLa = KbLb

Then,

Ka = \(\frac{K}{\frac{1}{9} }\)

Ka = 9K

And Kb = \(\frac{K}{\frac{8}{9} }\)

Kb = \(\frac{9K}{8}\)

Hence, stiffness of A is given by, 9K

Stiffness of B is given by  \(\frac{9K}{8}\)

Therefore,

If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and  \(\frac{9K}{8}\)

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Answer

\(\pink\sf{y=-1}\)

Step-by-step explanation

I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).

We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:

\(\sf{y=3-4}\)

And now we just simplify the last part:

\(\sf{y=-1}\)

∴ answer: y = -1

25 pi^2

The circumference is diameter by pi. So you have to divide 50pi by pi, which gives you 50. Then, divide that by 2 to get your radius. 25. A=pi r^2. So you have to multiply 35 by pi, 25pi, and then make it squared.

Based on the information, the confidence interval doesn't contradict the claim.

Based on the information, the following vs be deduced:

Mean = 2.87

Sample size = 35

Population standard deviation = 1.36

Critical value = 2.576

Standard error = Standard deviation / ✓Sample size

= 1.36 / ✓35

= 0.2299

The margin of error will be:

= 2.576 × 0.2299

= 0.5922

The 99% confidence interval will be 2.5678 < U < 3.7522

In conclusion, the confidence interval doesn't contradict the claim. Hence, the publication claim of 2.87kg is inside the 99% confidence interval.

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Answer:

C is the Answer

Step-by-step explanation:

The points on the line are points B and D

The equation is given as:

y = x + 4

The above means that the output value is 4 more than the input value

Using the above rule, the points that satisfy the equation are:

B) 2, 6 and D) 2, 4

This is so because:

6 = 2 + 4

4 = 2 + 2

Hence, the points on the line are points B and D

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The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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The mixed numbers that have 12 as the LCD are 2 11/12 and 6 4/5. All other fractions do not have 12 as the denominator and are not equivalent.

Mixed numbers consist of a whole number and a fractional part. To add or subtract mixed numbers, the fractions must have the same denominator (the bottom number of the fraction).

The LCD (lowest common denominator) is the smallest number that all of the denominators can be divided into evenly. In this case, the LCD is 12.

2 11/12 and 6 4/5 both have 12 as the denominator. The denominator of 11/12 can be divided by 11 and 12, so it is the same as 12/12. The denominator of 4/5 can be divided by 4 and 12, so it is the same as 48/12 (4 x 12 = 48). Therefore, both fractions have the same denominator.

The other fractions do not have 12 as their denominator. 3 1/7 can be divided by 3, 7, and 12, so it is the same as 21/12 (3 x 7 = 21). 5 3/4 can be divided by 4, 5, and 12, so it is the same as 60/12 (4 x 5 = 60). 8 38/47 can be divided by 8, 47, and 12, so it is the same as 376/12 (8 x 47 = 376). Since none of these fractions are equal to 12/12, they are not equivalent to the other two fractions.

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Question :

Which mixed numbers have 12 as the LCD (lowest common denominator)?

2 11/12

3 1/7

5 3/4

6 4/5

8 38/47

Answer:  choice A.  100x - 2x^2

=====================================================

Work Shown:

R(x) = revenue = amount of money coming in

R(x) = (number of units solid)*(price per unit)

R(x) = ( x )*( P(x) )

R(x) = x*(100 - 2x)

R(x) = 100x - 2x^2

Since the price function is defined on the interval \(1 \le \text{x} \le 30\), this means the revenue is also based on this interval as well. The lowest x can be is 1, the highest is 30.

Answer:

x<-6

Step-by-step explanation:

-2x-4>8

(move the constant to the right)

-2x > 8+ 4

(calculate)

-2x>12

(divide both sides)

x<-6

(your answer)

Answer:

11

Step-by-step explanation:

The question that Diondra would ask that does not allow for variability is A. Which movie did her best friend like the most?

The other three questions ("How many awards did each movie win?", "What is the total dollar amount that each movie made from ticket sales?", and "How many weeks did each movie play in the theater?") all offer metrics by which a movie's popularity could be measured, and those measurements could vary from movie to movie.

However, the question about her best friend's favorite movie depends solely on the opinion of one individual, not a variable measure, and therefore doesn't allow for variability.

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Answer:

1 lemon = 2 cups of lemonade

Step-by-step explanation:

Answer:

A tangent line touches a curve at one point and has the same slope as the curve at that point. A secant line intersects at 2 or more points and has a slope equal to the average rate of change between those points.

Answer:

A Tangent of a circle is found outside of the circle but touching 2 points of the circle on the outside. But a Secant is found inside the circle and it touches 2 points in the circle. A Chord can always be Secant, but a secant can not always be a chord because it may pass through the circle.

Step-by-step explanation: