Can someone solve this problem thank you

Answer:

The solution is 1/8

Step-by-step explanation:

[tex] \sf \displaystyle \lim_{x \to 16}  \sf \frac{ \sqrt{x} - 4 }{x - 16} \\ \\ \sf {a}^{2} - {b}^{2} = (a - b) (a + b)\\ \\ \sf \displaystyle \lim_{x \to 16}  \sf \frac{ \sqrt{x} - 4 }{( \sqrt{x} - 4) \times ( \sqrt{x} + 4)} \\ \\ \sf \displaystyle \lim_{x \to 16}  \sf \frac{ \cancel{\sqrt{x} - 4} }{(\cancel{ \sqrt{x} - 4) }\times ( \sqrt{x} + 4)} \\ \\ \sf \displaystyle \lim_{x \to 16}  \sf \frac{1}{ \sqrt{x} + 4} \\ \\ \sf \frac{1}{ \sqrt{16} + 4} \\ \\ \sf \frac{1}{ 4 + 4} \\ \\ \sf \frac{1}{8} [/tex]

This means that if at most one household is tuned to Pretty Betty, it is not unusual and does not necessarily indicate that the 26% share value is wrong.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

This is a binomial distribution problem, where the probability of success (a household tuned to Pretty Betty) is p = 0.26 and the number of trials is n = 14.

The probability that none of the households are tuned to Pretty Betty is:

P(none) = (1 - p)ⁿ = (1 - 0.26)¹⁴≈ 0.031

The probability that at least one household is tuned to Pretty Betty is:

P(at least one) = 1 - P(none) = 1 - 0.031 ≈ 0.969

The probability that at most one household is tuned to Pretty Betty is:

P(at most one) = [tex]P(0) + P(1) = (1 - p)^n + np(1 - p)^{(n-1)[/tex] ≈ 0.500

However, if more than one household is tuned to Pretty Betty, it may indicate that the share value is inaccurate.

Therefore, This means that if at most one household is tuned to Pretty Betty, it is not unusual and does not necessarily indicate that the 26% share value is wrong.

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Based on the choices, the ordered pairings that correspond to the graph are (2, 2), (2, 3), and (2, 4). (2, 4).

The x-coordinate of each point on the graph is always 2, since the vertical line passing through x=2 is a vertical asymptote, which implies the graph approaches but never reaches the line. Although the points where the graph crosses the y-axis are not shown, we may deduce from the curve's shape that the approximate y-coordinates of the first option, second choice, and third choice are 2, 3, and 4, respectively.

Hence, the suitable ordered pairings are (2, 2), (2, 3), and (2, 4).

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Answer:

19/28

Step-by-step explanation:

1/4 = 7/28

3/7 = 12/28

Then:

1/4 + 3/7 = 7/28 + 12/28 = (7+12)/28

= 19/28

The investment with annual compounding yields a higher future value of $1,520.10 compared to $1,489.36 for the given investment method.

The process through which an investment earns returns on both the principal and the accrued interest over time is known as compounding. To put it another way, it is the reinvestment of interest income into an investment that enables the investment to increase exponentially over time.

Compounding works on the basic premise that interest earned on an investment is added to the principal amount. The interest is then calculated using the new, higher principal amount during the subsequent interest period, yielding even more interest. When the money generated is reinvested and grows over time, this cycle keeps repeating, increasing the investment's value more swiftly.

The investment given has a principal of $1,000, an annual interest rate of 3%, and interest periods of 4 per year. The investment is held for 15 years. To compare this investment to one with the same principal and annual interest rate compounded annually, we need to calculate the future value of the investment using both methods and compare the results.

Using the given investment method, we can calculate the future value as follows:

FV = P(1 + r/n)^(nt)

FV = 1000(1 + 0.03/4)^(4*15)

FV = $1,489.36

Using annual compounding, we can calculate the future value as:

FV = P(1 + r)^t

FV = 1000(1 + 0.03)^15

FV = $1,520.10

So, the investment with annual compounding yields a higher future value of $1,520.10 compared to $1,489.36 for the given investment method. This difference occurs because compounding more frequently leads to more frequent accumulation of interest, resulting in a higher final amount.

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The length of the hypotenuse of the triangle is 6√3 inches

Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

The given parameters are:

Angle, θ = 60°

Shortest side = 3√3

The attached diagram illustrates the right triangle, From the diagram, we have:

cos(θ) = Shortest/Hypotenuse

This gives

cos(60°) = 3√3/Hypotenuse

This gives

Hypotenuse = 3√3/cos(60°)

Evaluate cos(60°)

Hypotenuse = 3√3/0.5

Evaluate the quotient

Hypotenuse = 6√3

Hence, the length of the hypotenuse of the triangle is 6√3 inches

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The complete question is given below.

The shortest side of a right triangle measures 3V3 inches. One angle of the triangle measures 60°. What is the length in inches, of the hypotenuse of the triangle?

Answer:

the odds of both events happening is 1 in 8 or 0.125.

Step-by-step explanation:

here are the step-by-step calculations to find the odds of both events happening:

The probability of the first event happening is 50%, which can be written as a decimal as 0.5.

The probability of the second event happening is 25%, which can be written as a decimal as 0.25.

To find the probability of both events happening, we multiply these probabilities together:

P(both) = P(first) x P(second)

= 0.5 x 0.25

= 0.125

We can also express this probability as odds by dividing the probability of both events happening by the probability of just one event happening (in this case, either the first or second event happening). The probability of one event happening is 0.5 + 0.25 = 0.75, since these events are mutually exclusive (only one of them can happen at a time). So the odds of both events happening is:

P(both) / P(one) = 0.125 / 0.75

= 1/8

Therefore, the odds of both events happening is 1 in 8 or 0.125.

Answer:

A≈50.27in²

Step-by-step explanation:

A=πr2=π·42≈50.26548in²

For the trapezoid ABCD following statements are true -

Statement 2: The length of AB can be found using 3²+4²=c².

Statement 3: The perimeter of the trapezoid shown is 22 units.

What is a trapezoid?

A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs.

Statement 2 is true because AB is a horizontal side and its length can be found using the Pythagorean theorem -

(Hypotenuse)² = (Base)² + (Perpendicular)²

AB = √((4 - 1)² + (7 - 3)²)

AB = √((3)² + (4)²)

AB = √(9 + 16)

AB = 5

Statement 3 is true because the perimeter of a trapezoid is the sum of the lengths of its four sides, so the perimeter of this trapezoid is

Perimeter = AB + BC + CD + DA

Perimeter = 5 + 5 + 4 + 8

Perimeter  = 22

Therefore, second and third statement is true.

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Answer:

The correct answer is (d) 1900.

Step-by-step explanation:

here's a step-by-step explanation of how to arrive at the correct answer:

Step 1: Identify the total expenses for the month of November

From the given ledger, we can see that there are two entries for expenses in the month of November: $1,000 on November 5 and $900 on November 15. To find the total expenses for the month, we add these two amounts: $1,000 + $900 = $1,900.

Step 2: Determine the balance of the expenses account

In the ledger, both entries for expenses are listed as debits. Since debits increase the balance of expense accounts, the balance of the expenses account is the total of the debits, which is $1,900.

Step 3: Create the closing entry

The purpose of the closing entry is to transfer the balance of the expenses account to the income summary account. Since the expenses account has a debit balance of $1,900, we need to credit the expenses account for this amount and debit the income summary account for the same amount. This will reduce the balance of the expenses account to zero and transfer the total expenses for the month to the income summary account. The closing entry is:

Expenses 1,900 (credit)

Income Summary 1,900 (debit)

Step 4: Check the options to find the correct answer

From the given options, we can see that option (d) 1900 is the correct answer, as it matches the amount of the closing entry we calculated in Step 3.

Therefore, the correct answer is (d) 1900.

Answer:

0.1369

Step-by-step explanation:

(37/100)^2=0.1369

The evaluation of the two more bids Bruno received, and the equations, table and graph obtained from the bids are as follows;

x = The number of books

y = The total charge based on the pricing

The equations are;

Bid 7: y = 15·x + 3

Bid 8: y = 10·x + 40

Please find the completed table in the following explanation part

Part B;

Please find attached the graph of the two equations, created with MS Excel

An equation is a mathematical statement indicating that the quantity, magnitude or values of two expressions are the same.

The amount Bid 7 charges per book = $15

Amount paid upfront for Bid 7 = $5

Amount Bid 8 charges upfront = $40

Amount Bid 8 charges per book = $10

The variables are;

The equations are;

The table of values can be presented as follows;

                   Bid 7               [tex]{}[/tex]        Bid 8

x             [tex]{}[/tex] y = 15·x + 5              y = 10·x + 40

0               [tex]{}[/tex]       5               [tex]{}[/tex]          40

3               [tex]{}[/tex]       50               [tex]{}[/tex]        70

5               [tex]{}[/tex]       80               [tex]{}[/tex]        90

7               [tex]{}[/tex]       110               [tex]{}[/tex]        110

10               [tex]{}[/tex]     155               [tex]{}[/tex]       140

Part B;

Please find attached the required graph of the two equations, showing the legend and the scale for the x and y axis created with MS Excel.

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Answer:

Using the equation y = 2x, some ordered pairs are as follows (- 1, - 2), (0, 0), (1, 2), (2, 4), (3, 6).

Step-by-step explanation:

BY WAY UR GLY

Bobby used deductive reasoning because he started with a stated fact and used logical steps to arrive at the desired conclusion.

Elaine used proof by contradiction because she made the assumption that the opposite of the desired conclusion and showed that it led to a contradiction, which gives further proof that the original assumption must be true.

Deductive reasoning is described as formal system in which  an abstract structure is used for inferring theorems from axioms according to a set of rules.

The set rules are used for carrying out the inference of theorems from axioms, which are then seen as the logical calculus of the formal system.

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Answer:

Step-by-step explanation:

I believe its

(-2,-6)

Answer: Let's assume that each time the ball rebounds, it bounces back up to exactly 2/3 of its previous height. We can use this information to create a table and plot the expected rebound heights for the first ten bounces.

Bounce Number                                  Rebound Height (feet)

0                                                               30.0

1                                                                20.0

2                                                               13.3

3                                                               8.9

4                                                               5.9

5                                                               3.9

6                                                               2.6

7                                                               1.7

8                                                               1.1

9                                                               0.7

10                                                              0.5

To plot this data, we can use a scatter plot with the bounce number on the x-axis and the rebound height on the y-axis. The points should be connected by a line to show the trend.

Tennis ball bounce heights

Note that the rebound heights decrease quickly and approach zero, but they never actually reach zero due to the rounding in our calculations.

Step-by-step explanation:

The best table, Observed Values | Expected Values, for a chi-square goodness-of-fit test for an independent assortment model, displays the expected values in the f2 generation.

When evaluating how well observed values fit a model of independent assortment, the chi-square goodness-of-fit test is used. The test necessitates comparing the observed values to what would be expected in the f2 generation.

The best option for this comparison is Observed Values | Expected Values since it gives a direct comparison between the observed and expected numbers. As any discrepancies between the observed and expected values can be attributed to the model's performance, this comparison enables an evaluation of the model's goodness-of-fit.

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Answer:

First add, then subtract
10

Step-by-step explanation:

First subtract, then determine the result:

27 + 33 = 60

60 - 50 = 10

Macy has 10 stickers left.

The operations needed to solve the problem are:

First add, then subtract.

The average is 9.99, the very first percentile is 8.01, as well as the upper quartile is 13.33 as a result.

From smallest to highest number, 25% is the first quartile. Second quartile: 25.1% to 50% (till median) 51% to 75%, third quartile (above the median) 25% of the biggest values are in the fourth quartile.

The data must first be arranged in ascending order before we can calculate the median or quartiles of the provided data:

5.24, 6.02, 6.67, 7.30, 7.59, 7.99, 8.03, 8.35, 8.81, 9.45, 9.61, 10.37, 10.39, 11.86, 12.22, 12.71, 13.07, 13.59, 13.89, 15.42

There are a total of 20 data points, and the median is calculated as that of the average of a 10th and 11th pieces of data:

(9.61 + 10.37) / 2 = 9.99; median

The very first quartile (Q1) must be determined in order to determine.

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Answer: 3/8

Step-by-step explanation: All you do is 1/2 times 3/4. Numerator times numerator. The Denominator times denominator.

To determine the height of the rock at a specific time, we need to substitute the time value into the equation y = 20t - 1.87t². For example, to find the height of the rock after 3 seconds, we substitute t = 3 into the equation:

y = 20(3) - 1.87(3)²

y = 60 - 16.83

y = 43.17

Therefore, the height of the rock after 3 seconds is 43.17 meters.

Answer:

(1,-1)

Step-by-step explanation:

Answer:

Option B: [tex](1, -1)[/tex]

Step-by-step explanation:

The two equations are linear simultaneous equations, which can be solved by either the substitution, elimination or graphical method.

Substitution method:

Formulate an expression for x in terms of y by isolating x and making it the subject of the equation:

   [tex]x + 2y = -1[/tex]

                  ∴ [tex]x = -2y -1[/tex] —— (equation i)

                     [tex]2x - 3y = 5[/tex] ——- (equation ii)

Substitute (equation i) in (equation ii) to solve for y:

                                      [tex]2(-2y -1) - 3y = 5[/tex]

Expand the brackets or parenthesis using the Distributive Law:

                                       [tex]-4y -2 -3y = 5[/tex]

Bring all the like terms together. Isolate the y terms together on one side of the equation and move all the other terms to the other side:

[tex]-4y -3y = 5 + 2[/tex]

= [tex]-7y = 7[/tex]

= [tex]y = -\frac{7}{7}[/tex]

∴ y = [tex]-1[/tex]

Substitute this calculated value of y into any of the equations to solve for x:

      [tex]x = -2(-1) - 1[/tex]

         [tex]= 2 - 1[/tex]

   ∴ x = [tex]1[/tex]

Together these x and y values form an ordered pair. In addition, this ordered pair is a solution to both the equations and also considered the point of intersection of the two equations

∴ Option B: [tex](1, -1)[/tex]

Simplifying this expression, we get: E[X] = n * (1 + (1-pm)/(n-1)) * H_{n-1} where H_{n-1} is the (n-1)th harmonic number.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

In the first scenario where we have imperfect throwers, the probability that a ball lands in a particular bin is (1-pm)/n, where pm is the probability that the ball misses all the bins. The probability that a ball does not land in a particular bin after k throws is (1- (1-pm)/n)^k.

Let X_i be a random variable representing the number of throws required to fill the ith bin for the first time. We know that X_i follows a geometric distribution with probability of success p_i = (1-pm)/n.

The expected value of X_i is given by:

E[X_i] = 1/p_i = n/(n - (1-pm))

Now, let X be the random variable representing the number of throws required to fill all n bins for the first time. We want to find the expected value of X, denoted as E[X].

Since each bin is being filled independently, the number of throws required to fill all n bins is given by the maximum of the X_i. Therefore, we have:

X = max(X_1, X_2, ..., X_n)

Using the formula for the expected value of the maximum of n independent and identically distributed random variables, we can write:

E[X] = n * E[X_i] - (n-1) * E[X_i, X_j]

where E[X_i, X_j] is the expected value of the minimum of X_i and X_j.

Since the X_i are identically distributed, we have E[X_i, X_j] = E[X_i]^2.

Substituting the value of E[X_i] in the above equation, we get:

E[X] = n * (n / (n - (1-pm))) - (n-1) * (n / (n - (1-pm)))^2

This is the expected number of throws required to fill each bin at least once, accounting for the probability that the balls may miss all bins with probability pm.

Therefore, Simplifying this expression, we get: E[X] = n * (1 + (1-pm)/(n-1)) * H_{n-1} where H_{n-1} is the (n-1)th harmonic number.

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The net income using FIFO, LIFO, and Weighted Average methods are $16200, $12700, $14100.3

To calculate the net income using different inventory valuation methods, we need to calculate the cost of goods sold (COGS) first, which is:

COGS = Beginning Inventory + Purchases - Ending Inventory

For each inventory valuation method, we will calculate the COGS and then subtract it from the total sales to find the net income.

1.

FIFO (First-in, First-out) method:

Under the FIFO method, we assume that the units sold are from the earliest inventory purchased. Therefore, the ending inventory consists of the most recently purchased units.

a. COGS:

Beginning inventory: 90 units at $40 = $3,600

Purchases: 310 units at $45 = $13,950

Total cost of goods available for sale = $3,600 + $13,950 = $17,550

Cost of goods sold = Total cost of goods available for sale - Ending inventory

= $17,550 - 30 units at $45 = $16,200

b. Net Income:

Sales = 370 units at $90 = $33,300

COGS = $16,200

Operating expenses = $4,100

Net income = Sales - COGS - Operating expenses

= $33,300 - $16,200 - $4,100

= $13,000

2.

LIFO (Last-in, First-out) method:

Under the LIFO method, we assume that the units sold are from the most recently purchased inventory. Therefore, the ending inventory consists of the earliest purchased units.

a. COGS:

Beginning inventory: 90 units at $40 = $3,600

Purchases: 310 units at $45 = $13,950

Total cost of goods available for sale = $3,600 + $13,950 = $17,550

Cost of goods sold = (Ending inventory at $40) + (Remaining units sold at $45)

= (30 units at $40) + (340 units at $45)

= $1,200 + $15,300

= $16,500

b. Net Income:

Sales = 370 units at $90 = $33,300

COGS = $16,500

Operating expenses = $4,100

Net income = Sales - COGS - Operating expenses

= $33,300 - $16,500 - $4,100

= $12,700

3.

Weighted Average method:

Under the weighted average method, we calculate the average cost per unit and use it to value both the cost of goods sold and ending inventory.

a. Average Cost per unit:

Total cost of goods available for sale = Beginning inventory + Purchases

= $3,600 + $13,950

= $17,550

Total units available for sale = Beginning inventory + Purchases + Ending inventory

= 90 + 310 + 30

= 430

Average cost per unit = Total cost of goods available for sale / Total units available for sale

= $17,550 / 430

= $40.81

b. COGS:

Cost of goods sold = Units sold x Average cost per unit

= 370 units x $40.81

= $15,099.7

c. Net Income:

Sales = 370 units at $90 = $33,300

COGS = $15,111.70

Operating expenses = $4,100

Net income = Sales - COGS - Operating expenses

= $33,300 - $15,099.7 - $4,100

= $14,100.3

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The amount paid with discount for the laptop is $ 660.

Discount is the amount of money removed from the price of an object being sold.

Amount paid is the total cost of an item.

Since laptop computer that you want to purchase was originally priced at $750. You will receive a 20% student discount, and the sales tax rate is 8%.

First, we need to know how much discount is given.

Since there is a 20 % discount, the amount of discount removed is 20% × $750 = 0.2 × % 750 = $ 150

Also, there is a sales tax rate of 8%. So, the amount of sales tax added is 8% × $750 = 0.08 × $ 750 = $ 60

So, the total amount paid is T =  price - discount + tax

= $ 750 - $ 150 + $ 60

=  $ 660

So, the amount paid is $ 660.

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Answer:

So we have two possible values for the width: W = 16 or W = 7.5.

If W = 16, then L = 130/16 ≈ 8.125. This gives us a perimeter of 2(8.125) + 2(16) = 48.25, which is too much fencing.

If W = 7.5, then L = 130/7.5 ≈ 17.333. This gives us a perimeter of 2(17.333) + 2(7.5) ≈ 46.666, which is close enough to 46. Therefore, the dimensions of the field are approximately L = 17.333 m and W = 7.5 m.

Step-by-step explanation:

Let the length of the rectangular plot be L, and let the width be W. Then we have:

The perimeter of the plot is 2L + 2W, and this must equal the length of fencing that Morgan has, which is 46 m. So we have the equation:

2L + 2W = 46

The area of the plot is LW, and we know that this equals 130 square meters. So we have the equation:

LW = 130

We can solve for one variable in terms of the other from the second equation, so let's solve for L:

L = 130/W

Now we can substitute this expression for L into the first equation:

2(130/W) + 2W = 46

Simplifying this equation, we get:

260/W + 2W = 46

260 + 2W^2 = 46W

2W^2 - 46W + 260 = 0

Dividing by 2, we get:

W^2 - 23W + 130 = 0

This is a quadratic equation that we can solve using the quadratic formula:

W = [23 ± √(23^2 - 4(1)(130))] / (2(1))

W = [23 ± 9] / 2

So we have two possible values for the width: W = 16 or W = 7.5.

If W = 16, then L = 130/16 ≈ 8.125. This gives us a perimeter of 2(8.125) + 2(16) = 48.25, which is too much fencing.

If W = 7.5, then L = 130/7.5 ≈ 17.333. This gives us a perimeter of 2(17.333) + 2(7.5) ≈ 46.666, which is close enough to 46. Therefore, the dimensions of the field are approximately L = 17.333 m and W = 7.5 m.

Answer:

Length = 13

Width = 10

Step-by-step explanation:

Let L = length and W = width of the plot

The area is given by LW and is given as 130 square meters

LW = 130   (1)

The perimeter = 2(L + W) and given as 46 meters(length of fencing)
2(L + W) = 46
L+W = 23        (2)

In equation 1, isolate L by dividing both sides by W
LW/W = 130/W
L = 130/W

Substitute this value for L in equation (2)
L + W = 23
130/W + W = 23

Multiply throughout by W:
130/W x W + W x W = 23x W
130 + W² = 23W

Subtract 130W from both sides:
130 + W² - 23W= 0

Rewrite as

W² - 23W + 130 = 0

This is a quadratic equation which can be solved by factoring

Factoring W² - 23W + 130 = 0
(W - 13)(W-10) = 0

This means W = 13 or W = 10
If W = 13, L = 130/W = 120/13 = 10
If W = 10, L = 130/W= 130/10 = 13

So the possible values for L, W are
L = 13, W = 10

or

L = 10, W =13

Choosing the larger value for L gives us:
L = 13, W = 10

Answer:

x es igual a 8.

Step-by-step explanation:

(a) Ann used 4/10 blue beads i.e. 80.

(b) Ann had 160 beads in the end.

The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

According to mathematicians, any real number may be expressed using the four basic operations, also referred to as "arithmetic operations." The four mathematical operations that produce quotient, product, sum, and difference, respectively, are divide, multiply, add, and subtract.

(a) We are given that Ann had a total of 285 red and blue beads, and she used 45 red beads and 40% of the blue bead.

Let the red beads be x and blue beads be y

So, we get

x + y = 285

x = 285 - y

After using the beads, we get another equation as

⇒(x - 45) / (y - 0.4y) = 1/3

⇒(285 - y - 45) / (y - 0.4y) = 1/3

⇒(240 - y) / (0.6y) = 1/3

⇒720 - 3y = 0.6y

⇒720 = 3.6y

⇒y = 200

So, x = 85

Blue beads used = 40% of 200 = 80

(b) Since, Ann has used 80 blue beads and 45 red beads, so

Beads in the end = 285 - 45 - 80 = 160

Hence, Ann had 160 beads in the end.

Learn more about arithmetic operations from the given link

https://brainly.com/question/30283549

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