Write down the reciprocal of
1/3

Answer:

6

Step-by-step explanation:

The third digit to the right of decimal point is in the thousandths place. The fourth digit to the right of decimal point is in the ten thousandths place and so on.

In the decimal number 24.736, the digit which is at the thousandth place will be 6.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We know that the number starts from the tenths after the decimal.

....123.456..

The expansion of the number is given as,

... + 100 + 20 + 3 + 0.4 + 0.05 + 0.006 + ......

The expansion is written in form of words. Then

Hundreds + Tens + Ones + Tenths + Hundredths, Thousandths, and so on.

In the decimal number 24.736, the digit which is at the thousandth place will be 6.

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log1000(10) = x does not belong. This is because it does not have a real solution, while the other options (a, c, and d) have valid solutions.

The correct answer is option B.

To determine which one of the given options does not belong, we need to evaluate each option and compare them based on their properties and mathematical relationships.

a) log(1/1000) = x

Using the logarithmic property that log(a) = -log(1/a), we can rewrite this equation as:

log(1/1000) = log(\(1000)^(^-^1^)\)

log(1/1000) = log(\(1000)^(^-^1^)\)) = -3

b) log1000(10) = x

This equation can be rewritten as:

log base 1000 (10) = x

Here, the logarithm is asking for the power to which 1000 should be raised to obtain 10. Since 10 is not a power of 1000, this equation does not have a real solution. Therefore, this option does not belong.

c) (10³) = x

This equation represents 10 raised to the power of 3, which is equal to 1000. Therefore, x = 1000.

d) log(1000) = x

Using the logarithmic property that log base 10\((10^x)\) = x, we can rewrite this equation as:

log(1000) = log\((10^3)\) = 3

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Answer: Approximately 34.17%.

Step-by-step explanation: Let's divide 41 by 120. Doing so, we get 0.3466666 looping forever. We can simplify that to .3417, and then turn that into a percentage giving us 34.17%

Hence we would conclude that If Frances left the tip of 22 percent on a meal, the cost of the meal before the tip would be 18 dollars.

Let us define x to be the cost of the meal

such that we would have

x  + 22%x =  21.96

= x + 0.22x = 21.96

1.22x = 21.96

We would have to divide through the equation that we have by 1.22

x = 21.96 / 1.22

x = 18

X is the cost for the meal that  that Frances ate before she gave the tip that she did to the waiter.

Hence we would conclude that If Frances left the tip of 22 percent on a meal, the cost of the meal before the tip would be 18 dollars.

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if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

242 inches²

Step-by-step explanation:

area = (1/2) · (p + q) · h (trapezoid formula)

(1/2)(13+24)(4)= 74

area= bh (rectangle)

(24)(7)= 168

168+74= 242

The correct statement will be; (D) No, it is not proportional because the ratios between the number of cookies and cups of flour are not all equivalent.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign, between two integers.

We are given that three different recipes each make a different number of cookies and require a different amount of flour.

The ratios of the number of cookies to the number of cups of flour are;

For recipe 1;

= 24/1.5 = 16

For recipe 2;

= 36/3 = 12

For recipe 3;

= 48/4.5 = 10.66

The correct statement will be; (D) No, it is not proportional because the ratios between the number of cookies and cups of flour are not all equivalent.

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The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

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Answer:

1. Inflationary

2. Credit

Step-by-step explanation:

The risk that the value of the Treasury bond will diminish over time if the value of the dollar decreases, or buys less than it used to, is called inflationary risk. Treasury bonds are seen to have no credit risk because they're backed by the promise of the US government to repay the bond.

The probability that a person who tests positive actually has the disease is approximately 0.194.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. Probabilities ranging from 0 to 1 reflect occurrences that are probable but not guaranteed.

P(A) denotes the probability of an event A as the ratio of the number of possibilities that favour event A to the total number of potential outcomes. In other words, it is the number of possible outcomes for event A divided by the total number of possible outcomes.

Now,

To compute the probability that a person who tests positive actually has the disease, we can use Bayes' theorem, which states that:

P(A|B)=P(B|A)*P(A)/P(B)

where A and B are events, P(A | B) is the probability of event A when event B has occurred, P(B | A) is the probability of event B when event A has occurred, P(A)= prior probability of event A, and P(B) = prior probability of event B.

In this case, let A be the event of having the disease and B be the event of testing positive.

The incidence rate of the disease is 0.8%, which means that P(A) = 0.008.

The false negative rate is 6%, which means that P(B' | A) = 0.06 (where B' is the complement of event B, i.e., testing negative given that the person has the disease).

The false positive rate is 3%, which means that P(B | A') = 0.03 (where A' is the complement of event A, i.e., not having the disease).

We can compute P(B) using the law of total probability:

P(B) = P(B|A)*P(A) + P(B|A')*P(A')

= (1-P(B'|A))*P(A)+P(B|A')*(1-P(A))

= (1 - 0.06) * 0.008 + 0.03 * (1 - 0.008)

= 0.0328

Now we can use Bayes' theorem to compute P(A | B):

P(A | B) = P(B | A) * P(A) / P(B)

= (1 - P(B' | A)) * P(A) / P(B)

= (1 - 0.06) * 0.008 / 0.0328

= 0.194

Therefore,

                 the probability will be 0.194.

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The ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)

The equation is given as:

y = 3^x

Let x = 0, 1 and 2

y = 3^0 = 1

y = 3^1 = 3

y = 3^2 = 9

So, we have the following ordered pairs (0,1), (1,3) and (2,9)

Hence, the ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)

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Answer:

Step-by-step explanation:

The equation y = 5x - 2 is slope-intercept form of linear function.

It has positive slope of 5, therefore is increasing function, the line goes up from left to right on the coordinate plane

The solution is, the percent of error, rounded to the nearest percent is 25%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

now, we have to find the percent of error, rounded to the nearest percent.

so, we get,

Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

so, error = 750 - 600

              = 150

so, we get,

the percent of error = 150 * 100 / 600

                                 = 25%

Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.

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when the equation has a value of 0 of course the coin lands, so we need to find what x leads to that value.

-16x^2-16x+60=0

We can first divide by 4 on both sides.

-4x^2-4x+15=0

Now multiply -1

4x^2+4x-15=0

(2x-3)(2x+5)=0

x=3/2 or -5/2

But because how many seconds have to be positive, x=-5/2 is an extraneous solution.

The time it have to stay in the air is 3/2 seconds.

Answer:

Amar pays the most

Step-by-step explanation:

Amar pays the most, because Mira and Raja split the bill, so they onyl need to pay 1/5 each. However, Amar needs to pay 2/5 which is the most.

Hope this helps!

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

10.5? sorry if it doesnt work

Step-by-step explanation:

0.1449 = 14.49% probability that 6 students or more will score an "A" on the final exam.

---------------

For each student, there are only two possible outcomes. Either they score an A, or they do not. The probability of a student scoring an A is independent of any other student, which means that the binomial probability distribution is used to solve this question.

Additionally, to find the proportion of students who scored an A, the normal distribution is used.

----------------

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which  is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of a success.

----------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean and standard deviation , the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

----------------

Proportion of students that scored an A:

Scores have a mean of 79 and a standard deviation of 11.3, which means that \(\mu = 79, \sigma = 11.3\)

Scores of 90 or higher are graded an A, which means that the proportion is 1 subtracted by the p-value of Z when X = 90, so:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{90 - 79}{11.3}\)

\(Z = 0.97\)

\(Z = 0.97\) has a p-value of 0.8340.

1 - 0.8340 = 0.166

The proportion of students that scored an A is 0.166.

----------------

Probability that 6 students or more will score an "A" on the final exam:

Binomial distribution.

22 students, which means that \(n = 22\)

The proportion of students that scored an A is 0.166, which means that \(p = 0.166\)

The probability is:

\(P(X \geq 6) = 1 - P(X < 6)\)

In which

\(P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)\)

Then

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{22,0}.(0.166)^{0}.(0.834)^{22} = 0.0184\)

\(P(X = 1) = C_{22,1}.(0.166)^{1}.(0.834)^{21} = 0.0807\)

\(P(X = 2) = C_{22,2}.(0.166)^{2}.(0.834)^{20} = 0.1687\)

\(P(X = 3) = C_{22,3}.(0.166)^{3}.(0.834)^{19} = 0.2239\)

\(P(X = 4) = C_{22,4}.(0.166)^{4}.(0.834)^{18} = 0.2117\)

\(P(X = 5) = C_{22,5}.(0.166)^{5}.(0.834)^{17} = 0.1517\)

Then

\(P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0184 + 0.0807 + 0.1687 + 0.2239 + 0.2117 + 0.1517 = 0.8551\)

\(P(X \geq 6) = 1 - P(X < 6) = 1 - 0.8551 = 0.1449\)

Thus

0.1449 = 14.49% probability that 6 students or more will score an "A" on the final exam.

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Answer: 14,605 pieces.

Step-by-step explanation:

In the second quarter, the company produced 795 pieces more than in the first quarter.

So, the total pieces produced in the second quarter can be calculated as:

6905 + 795 = 7700

The total pieces produced in the first semester (two quarters) can be calculated as:

6905 + 7700 = 14,605

Therefore, the company produced 14,605 pieces in the first semester.

The number of pieces the company produced in the first semester was 14,605 pieces.

The question asks to calculate how many pieces a company produced in the first semester, considering the production of two quarters.

In the first quarter, the company produced 6,905 pieces, as indicated in the question.

Already in the second quarter, the company produced 795 more pieces than in the first quarter, which means that the production in the second quarter was:

6,905 + 795 = 7,700 pieces.

To know the company's total production in the first semester, just add the productions of the two quarters:

6,905 + 7,700 = 14,605 pieces

Answer:

552.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Median means the middle or central value.

Given data : 83 , 73 , 76 , 72 , 75 , 85 , 79 , 76

Arranging the data in ascending order:

72 , 73 , 75 , 76 , 76 , 79 , 83 , 85

N ( total number of items ) = 8

Here, as there are 8 terms , we cannot find the one central value within the set.

The median will be average of the two central terms, 76 and 76

Now, to find the median, we have to divide the sum of two central terms ( 76 and 76) by 2

Median :\( \frac{76 + 76}{2} \)

Calculate the sum:

\( \frac{152}{2} \)

Divide:

\(76\)

Hope this helps..

Best regards!

From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:0,3$

Step-by-step explanation:

The solution is, the area of the cardboard is 7560 millimeters².

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

The piece of cardboard is 12.0 cm long and 6.3 cm wide.

1 centimeter = 10 millimeters

Therefore,

12 centimeters = 12 × 10 = 120 millimeters

6.3 centimeters = 6.3 × 10 = 63 millimeters

The cardboard is rectangular and the formula for determining the area of a rectangle is expressed as

Area = length × width

Therefore, the area of the cardboard is

120 × 63 = 7560 millimeters²

Hence, The solution is, the area of the cardboard is 7560 millimeters².

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complete question:

A piece of cardboard is 12.0 cm long and 6.3 cm wide. What is the area of this piece of cardboard in square millimeters? Enter your answer to the correct number of significant figures.

Answer:

im going to say a wallaby because they are smaller and lighter and if you think of the weight then less power is needed for a wallaby

idk lol XD

Step-by-step explanation:

Answer:

You will find the answer from my explanation.

Step-by-step explanation:

Let the cost of one small shirt be x

And that of a large shirt be y

From the expression above;

4x + 14y = 210; since the total cost of a small shirt by Wili is;

4 * x and the large shirts 14 * y

Similarly for Jordan we have:

12x + 11y = 110; since the total cost of a small shirt by Jordan is;

12 * x and the large shirts 11 * y

We now have two equations,

So you can solve both equations now using elimination method;

If you multiply all the variables of x and y in the first equation by 3 and then subtract the second equation from it, x would be eliminated remaining y;

Multiplying the first equation we have;

12x + 42y = 630

- 12x + 11y = 110

------------------------------

0. + 31y = 520

You can continue from there

9514 1404 393

Answer:

  a) 9×10⁶ +1×10³ +1×10²

  b) 8×10⁷ +7×10⁶ +9×10⁴ +6×10³ +1×10² +4×10¹ +2×10⁰

Step-by-step explanation:

The place value of each digit is 10 to a power equal to the number of places the digit is to the left of the units (ones) place. That is, the exponent of 10 is the number of zeros in the multiplier for place value.

9,001,100 = 9×1,000,000 +1×1,000 +1×100 = 9×10⁶ +1×10³ +1×10²

__

87,096,142 = 80,000,000 +7,000,000 +90,000 +6,000 +100 +40 +2

  = 8×10⁷ +7×10⁶ +9×10⁴ +6×10³ +1×10² +4×10¹ +2×10⁰

_____

Additional comment

It is useful to learn to think of place value in this way, because it helps immensely when you convert numbers to or from scientific notation.

You may notice the powers of ten count up for places to the left of the decimal point. They count down for places to the right. That is, the tenths place has a place value that is the inverse of the tens place: 1/10 = 10⁻¹.

Answer:

12 per one bag

Step-by-step explanation:

60lb bag divided by the amount it costs which is $5.

Which equals $12.

Answer:

$1/12lb

Step-by-step explanation:

Divide 60 by 5.