Divide. Write your answer as a FRACTION in simplest form.

−7/10 ÷ 2/5

Answer:

9

Step-by-step explanation:

put in order least to greatest

-9 -9 -7 -6 -5 -4 -3  0

9-0=9

range cannot be negative because it is the space between numbers and distance cannot be negative

Answer: The range is 9.

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

The if statement evaluates the test expression inside the parenthesis ().

If the test expression is evaluated to true, statements inside the body of if are executed.

If the test expression is evaluated to false, statements inside the body of if are not executed.

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

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In conditional statements, the part of the statement following 'if' is called the antecedent.

The antecedent is the condition that needs to be true for the consequent to occur.

The consequent is the part of the statement that follows 'then.'

An antecedent is a noun or pronoun that denotes a specific being, place, object, or clause.

It's also referred to as a referent. Without an antecedent, a sentence may be insufficient or nonsensical since it is

required to establish what or to whom a pronoun in a sentence is referring.

In summary, a conditional statement is structured as "if (antecedent) then (consequent)."

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The value of the test statistic is given as follows:

t = 0.55.

The difference off the sample means is given as follows:

7 - 5.8 = 1.2.

The standard error for each sample is given as follows:

The standard error for the distribution of differences is given as follows:

\(\sqrt{2^2 + 0.7^2} = 2.17\)

Hence the test statistic is given as follows:

t = 1.2/2.17

t = 0.55.

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The unadjusted trial balance of The Lexington Group as of May 31, 20Y6, contains errors resulting in an unequal debit and credit balance of $27,875.

The unadjusted trial balance is a statement that lists all the accounts and their balances before any adjustments are made. It is used as a starting point to prepare the financial statements. In this case, the unadjusted trial balance of The Lexington Group shows a debit total of $608,125 and a credit total of $636,000, resulting in a difference of $27,875.

The errors mentioned in the question are the reasons for the imbalance. Let's go through each error:

1. The cash entered on the trial balance was overstated by $7,000. This means that the cash balance is higher than it should be by $7,000, resulting in an inflated debit balance.

2. A cash receipt of $8,200 was posted as a debit to cash of $2,800. This error resulted in an understatement of the cash balance by $5,400.

3. A debit of $16,500 to accounts receivable was not posted. As a result, the accounts receivable balance is understated by $16,500.

4. A return of $125 of defective supplies was erroneously posted as a $1,250 credit to supplies. This error caused an overstatement of the supplies balance by $1,125.

5. An insurance policy acquired at a cost of $3,600 was posted as a credit to prepaid insurance. This mistake resulted in an understatement of the prepaid insurance balance by $3,600.

6. The balance of notes payable was understated by $9,000. This means that the liability for notes payable is lower by $9,000 than it should be.

7. A credit of $10,000 in accounts payable was overlooked when determining the balance of the account. This error led to an understatement of the accounts payable balance by $10,000.

8. A debit of $5,000 for dividends was posted as a credit to retained earnings. This mistake caused an understatement of the dividends and an overstatement of the retained earnings by $5,000.

9. The balance of $60,300 in rent expense was entered as $63,000 in the trial balance. This error resulted in an overstatement of the rent expense by $2,700.

10. Gas, electricity, and water expense, with a balance of $16,350, was omitted from the trial balance. This omission caused an understatement of the total expenses by $16,350.

When we analyze the errors, we find that some accounts have been overstated, some have been understated, and some transactions have been completely omitted. These errors have led to an imbalance between the debit and credit sides of the trial balance.

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Answer:

Q.17  9 2/5

Q.18 5

Q.19  13

Step-by-step explanation:

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

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Answer:

576.97

Squared

Therefore, (g-f)(8) = 26, and the correct choice is A.

To find (g-f)(8), we first need to understand what (g-f)(x) means. It is the difference between the values of g(x) and f(x) for a given input value of x. So, we can write (g-f)(x) = g(x) - f(x).

Now, we are given the functions f(x) = x - 0 and g(x) = 3x + 2. We can substitute x = 8 into these functions to find their values at x = 8.

f(8) = 8 - 0 = 8

g(8) = 3(8) + 2 = 26

Next, we can use the formula (g-f)(x) = g(x) - f(x) to find (g-f)(8). Substituting the values we found above, we get:

(g-f)(8) = g(8) - f(8) = 26 - 8 = 18.

Therefore, the answer is 18, which means that the expression (g-f)(8) exists and the correct choice is not B, but rather A.

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\The task is to calculate the probability of pulling seven consecutive consonants from a set of tiles, with replacement each time.

we have a set of tiles, and we want to find the probability of pulling seven consecutive consonants. Since we are replacing the tile after each draw, each pull is an independent event.

To calculate the probability, we need to determine the total number of consonants and the total number of tiles in the set. Let's assume that the set contains a total of n tiles, with c of them being consonants.

For the first draw, the probability of selecting a consonant is c/n, as there are c consonants out of n total tiles. Since we are replacing the tile each time, the probability of pulling a consonant remains the same for each subsequent draw. Therefore, the probability of pulling seven consecutive consonants is (c/n)^7, as we need to multiply the probabilities of each individual draw together.

By substituting the values of c and n into the formula, we can calculate the probability of pulling seven consecutive consonants with replacement from the given set of tiles.

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Answer: 16

Step-by-step explanation: 28÷7=4

                                             4×4   = 16

Answer:

STEP BYy-step explanation:

I need help with this to! When i get the answer ill let ya know

We have given that skateboard was originally priced at $53.00.

It is on sale for 15% off.

We have to determine the sale price of the skateboard.

The discount is 15%.

So we have to find 15% of $53.

Divide the percentage by 100 so we will get the the desimal form of percentage.

convert 15% into desimal

\(\frac{15}{100}=0.15\)

Multiply 0.15 by original price,

\(0.15\times 53=7.95\)

The original price discounted by this amount

Therfore he save $7.95

Sale price=53$-7.95=45.05

Therefore we get the salling price is $45.05.

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Answer:

Solution,

\(volume = (8 \times 5 \times 5) + (5 \times 6 \times 3) \\ \: \: \: \: \: \: \: \: \: \: \: \: = 200 + 90 \\ \: \: \: \: \: \: \: \: \: = 290 \: {m}^{3} \)

Hope this helps..

Good luck on your assignment..

Answer:

Z+12a−z+8+12−+8

Step-by-step explanation:

Z+8−6(z−2a)+5z

+8−6(−2)+5

Z+8−6(−2a+z)+5z

+8−6(−2+)+5

Z+8−6(−2a+z)+5z

+8−6(−2+)+5

Z+8+12a−z+8+12−

Answer:

Z + 8 + 12a − z

12a + 8

Step-by-step explanation:

a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Option D, which refers to how much you need or get, equals the amount of money paid on July 8 and is $ 1600.

aggregate attempting to calculate the time required, total number or quantity.  The quantity at hand or under consideration is incredibly energetic.  the overall result, importance, or import. Principal, interest, and a third accounting. amounts, amounting, and amounted are word forms. flexible noun The quantity of something is how much there is, how much you have, how much you require, or how much you obtain. He requires that sum of money to get by.

given

Cash paid on July 8 equals ($1,800 - $200)* (1 - 0.02)

$1,568 (Purchase value - value of products returned)* (1 - Discount percentage) ( option c , option d )

Cash paid in August equals Purchase value minus Value of Returned Goods ($1,800 minus $200 = $ 1600). ( Option D )

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A, b and c can do a piece of work in 24, 30 and 40 days respectively. the work is completed in 13 days.

Let's calculate the work done by each person per day:

A completes 1/24 of the work per day.

B completes 1/30 of the work per day.

C completes 1/40 of the work per day.

Let's assume the total work is represented by "W".

When all three, A, B, and C, work together, their combined work rate per day is:

1/24 + 1/30 + 1/40 = (5 + 4 + 3) / 120 = 12/120 = 1/10

This means that when all three work together, they complete 1/10 of the total work per day.

Now, let's calculate the number of days it takes for them to complete the work. Let's represent this number of days by "D".

Since C leaves 4 days before the completion of the work, the remaining work is 1 - 1/10 = 9/10.

We can set up the equation:

(D - 4) * (1/10) = 9/10

Simplifying the equation:

D - 4 = 9

D = 9 + 4

D = 13

Therefore, the work is completed in 13 days.

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The value of x is obtained as follows:

128º.

The measure of angle A is given as follows:

m < A = 132º.

For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:

5x - 508 = x + 4.

4x = 512

x = 512/4

x = 128.

Then the measure of angle A is given as follows:

m < A = 5(128) - 508

m < A = 132º.

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Answer:

using 3.14 for the value of π:

area = 94.63 units²

Step-by-step explanation:

area = (10 x 5) + (5 x 5) + (1/4)(π)(5²) = 50 + 25 + 6.25π = 75 + 6.25π = 94.63 units²

Answer:

x=574

Step-by-step explanation:

it says that on my caculater.

Answer:

Hey angel i have missed talking to you on padlet and i hope we are still friends

Step-by-step explanation:

Step-by-step explanation:

subtract 9x from both sides

y = -9x+8

Answer:

sorry need points Step-by-step explanation:

sorry need points sorry need points

Answer:

The value of y is 18 at x = 70

Step-by-step explanation:

The equation of the directly proportional is y = k x, where k is the constant of proportionality.

∵ The value of y is directly proportional to the value of x

→ By using the equation above

∴ y = k x

∵ x = 140 and y = 36

→ Substitute them in the equation above

∴ 36 = k(140)

∴ 36 = 140k

→ Divide both sides by 140

∵ \(\frac{36}{140}\) = k

∴ \(\frac{9}{35}\) = k

→ Substitute the value ok in the equation

∴ y = \(\frac{9}{35}\) x ⇒ equation of proportionality

∵ x = 70

→ Substitute in the equation to find y

∴ y =  \(\frac{9}{35}\) × 70

∴ y = 18

∴ The value of y is 18 at x = 70

This means that for every unit increase in the x-coordinate, the y-coordinate decreases by 11/12 units.To find the slope of the line that contains the points (-3, -5/2) and (3, -8), we can use the formula for slope:

slope = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given coordinates into the formula:

slope = (-8 - (-5/2)) / (3 - (-3))

Simplifying the numerator and denominator:

slope = (-8 + 5/2) / (3 + 3)

To combine the fractions in the numerator, we need a common denominator:

slope = (-16/2 + 5/2) / 6

slope = (-11/2) / 6

To divide fractions, we multiply the numerator by the reciprocal of the denominator:

slope = (-11/2) * (1/6)

Simplifying the multiplication:

slope = -11/12

Therefore, the slope of the line that contains the points (-3, -5/2) and (3, -8) is -11/12.

The negative sign indicates that the line is sloping downwards from left to right. The magnitude of the slope (11/12) represents the steepness of the line.

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The confidence interval is 0.039. This means that the value lies between the range of -0.039 and 0.039. Therefore, we can express the confidence interval as the mean plus or minus the margin of error.

This will give us a range in which the true population mean lies.Let's assume that the mean is 0.259. Then the lower limit of the range is given by:Lower limit = 0.259 - 0.039 = 0.22 And the upper limit of the range is given by:Upper limit = 0.259 + 0.039 = 0.298Therefore, the confidence interval is: 0.22 to 0.298Now we can see that option A is the correct answer: 0.259+0.22.

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Answer:

729

Step-by-step explanation:

9x9x9 = 81 x 9

Answer:

729

Step-by-step explanation:

v=length*width*height

since this figure is a cube all sides=9

so lets substitute the values

v=9*9*9

v=729

Answer: Create a lookup from the unusable fraction format to one that you can use in excel:

First column in the lookup should be the fraction in unusable format

Second column should be the fractions in a usable format, first format the cells in second column > Format Cells menu > Number tab > Category as Fraction > Type "Up to one digit (1/4)"

Manually in the corresponding cells the equivalent values (for example, below in cell H2 write 5/8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Firstly you should times the first decimal of the column by the number that is the numerator. So the second column the numerator is 2 so you times the first number by 2 which gives you 0.10. You do this for every column then you get you answer.

The correct option is d) 0.998 is the truncation error for S3

Given series is S3.

That is A = 15, a=0.002, b=0.008, c=0.992.

Truncation error is defined as the difference between the true value of a series and the value obtained by truncating the series.

To calculate the truncation error of S3, we first need to calculate the next term in the series which is given as t4.

To calculate the truncation error we need to find the difference between the true value of the series and the value of the truncated series.

Hence, The truncation error for S3 is:

d = t4 = a(r)^3  = 0.002(0.8)^3 = 0.001024

Therefore, the truncation error for S3 is 0.001024, which is approximately equal to 0.001 or 0.1%.

Hence, the correct option is d) 0.998.

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