What are the characteristics of a quadrilateral?

Therefore, √128 lies between 11 and 12 on a number line.

To determine the two numbers between which √128 lies on a number line, we can calculate the square roots of consecutive perfect squares that surround 128.

By calculating the square roots, we can find the two nearest whole numbers that √128 lies between.

Calculating the square roots of perfect squares near 128:

√121 = 11

√144 = 12

Since 128 is greater than 121 and less than 144, √128 lies between √121 and √144 on the number line.

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As the interest rate increases from 10 percent to 11 percent, the present value of the bond decreases from $1,074.47 to $1,058.31. Conversely, when the interest rate decreases to 9 percent, the present value increases to $1,091.19. This is because the discount rate used to calculate the present value is inversely related to the interest rate, meaning that as the interest rate increases, the present value decreases, and vice versa.

To compute the present value of a five-year, 10 percent coupon bond with a face value of $1,000, we need to discount the future cash flows (coupon payments and face value) by the appropriate interest rate.

Step 1: Calculate the present value of each coupon payment.
Since the bond has a 10 percent coupon rate, it pays $100 (10% of $1,000) annually. To calculate the present value of each coupon payment, we need to discount it by the interest rate.

Using the formula: PV = C / (1+r)^n
Where PV is the present value,

C is the cash flow,

r is the interest rate, and

n is the number of periods.

At an interest rate of 10 percent, the present value of each coupon payment is:
PV1 = $100 / (1+0.10)^1 = $90.91

Step 2: Calculate the present value of the face value.
The face value of the bond is $1,000, which will be received at the end of the fifth year. We need to discount it to its present value using the interest rate.

At an interest rate of 10 percent, the present value of the face value is:
PV2 = $1,000 / (1+0.10)^5 = $620.92

Step 3: Calculate the total present value.
To find the present value of the bond, we need to sum up the present values of each coupon payment and the present value of the face value.
Total present value at an interest rate of 10 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,074.47

When the interest rate goes to 11 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 11 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,058.31

When the interest rate goes to 9 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 9 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,091.19

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Answer:

120.00

Step-by-step explanation:

Let x be the original price

The price is 10% off, or we pay 90% of the original price

.9 x

Then we have to pay 7% sales tax

.9x * 7%

.9x * .07

.063x is the tax

Add this to the .9x we have to pay for the jacket

.9x + .063x = .963x

This is the cost of the jacket

.963x = 115.56

Divide each side by.963

.963x/.963 = 115.56/.963

x =120.00

The cost of the jacket before discount and tax is 120.00

Answer:

y=-6x-7

(You write the equation in slope-intercept for (y=mx+b).

Then you go from there, subtracting when needed.)

Answer:

y= -1/6x -7

Step-by-step explanation:

18x+3y=-21

first find y intercept

18(0)+3y=-21

/3               /3

y intercept is -7.

next find slope

18x+3y=-21

-3y          -3y

18x=-3y-21

slope is -1/6

so the answer is y=-1/6x-7

Here, we are required to determine if the relationship between number of tickets,x, and a total cost, y, is proportional and explain how.

Yes, the total cost of purchasing tickets is directly proportional to the number of tickets purchased.

From the statements in the question;

If a movie ticket costs $7.50 per person.

And the number of tickets is given as x.

The total cost of purchasing the ticket is y.

Inference drawn from above implies that;

The total amount of money paid to purchase the x number of tickets is;

y = $7.50 * x

The expression above therefore implies that the total cost of purchasing tickets is directly proportional to the number of tickets purchased.

The explanation for how this is known is that;

As the number of tickets purchased increases, the total cost of purchasing them increases.

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The first step is to solve the inequality.

The given inequality is expressed as

3x - 11 > 7x + 9

We would add 11 to both sides of the inequality. it becomes

3x - 11 + 11 > 7x + 9 + 11

3x > 7x + 20

We would subtract 7x from both sides of the inequality. it becomes

3x - 7x > 7x - 7x + 20

- 4x > 20

If we divide both sides of the inequality by a negative number, the sign reverses. By dividing by - 4, It becomes

- 4x/-4 < 20/-4

x < - 5

It would be represented on the number line as shown in the diagram below

Looking at the table, x is satisfied by all numbers to the left of - 5. The circle on top of -5 is unshaded because - 5 is not included.

Answer:

1/3

Step-by-step explanation:

\(|\Omega|=30\\|A|=10\\\\P(A)=\dfrac{10}{30}=\dfrac{1}{3}\)

This problem is an example of a balanced transportation problem since the total supply of goods is equal to the total demand.

The transportation problem is a well-known linear programming problem in which commodities are shipped from sources to destinations at the minimum possible cost. The initial step in formulating a mathematical model for the transportation problem is to identify the sources, destinations, and the quantities transported.
The objective of the transportation problem is to minimize the total cost of transporting the goods. The mathematical model of the transportation problem is:
Let there be m sources (i = 1, 2, …, m) and n destinations (j = 1, 2, …, n). Let xij be the amount of goods transported from the i-th source to the j-th destination. cij represents the cost of transporting the goods from the i-th source to the j-th destination.
The transportation problem can then be formulated as follows:
Minimize Z = ∑∑cijxij
Subject to the constraints:
∑xij = si, i = 1, 2, …, m
∑xij = dj, j = 1, 2, …, n
xij ≥ 0
where si and dj are the supply and demand of goods at the i-th source and the j-th destination respectively.
Using the given table, we can formulate the transportation problem as follows:
Let A1, A2, and A3 be the sources, and B2, B3, and B4 be the destinations. Let xij be the amount of goods transported from the i-th source to the j-th destination. cij represents the cost of transporting the goods from the i-th source to the j-th destination.
Minimize Z = 27x11 + 27x12 + 32x13 + 15x21 + 21x22 + 20x23 + 16x31 + 22x32 + 18x33
Subject to the constraints:
x11 + x12 + x13 = 3
x21 + x22 + x23 = 14
x31 + x32 + x33 = 10
x11 + x21 + x31 = 21
x12 + x22 + x32 = 32
x13 + x23 + x33 = 26
xij ≥ 0
In this way, we can construct a mathematical model of the transportation problem using the given table. The model can be solved using the simplex method to obtain the optimal solution.

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The coordinate of B, given the coordinates of A and C and the distance between A and B, is  - 2

To find the coordinate of B, you first need to find the distance between A and C which is :

= Coordinate of C - Coordinate of A

= 12 - ( - 9 )

= 12 + 9

= 21

The distance between A and B is 1 / 3 of this distance so it is:

= 21 x 1 / 3

= 7

The coordinate of B is therefore :

= Coordinate of A + distance between A and  B

= - 9 + 7

= - 2

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Answer:

the prashastis is the most assential and the core is a chinese of a bone where the body is the most assential of a bone where it can take longer to get a good idea of the following ratio is a good idea for the needs 8n and a half his salary manish he has a good reputation in his work and is willing and able for his wealth of knowledge to help to help to improve his wealth of the following ratio is a good idea for a few years of use in a class of the following ratio is a very good idea for a few years of use in a class of the following ratio is a very good idea for a few years of use in a class

The probability of selecting a white marble from the box is 0.5 or 50%.

We have,

To calculate the probability of selecting a white marble from the box, we need to determine the total number of marbles and the number of white marbles in the box.

In this case, the box contains a total of 2 black marbles, 4 red marbles, and 6 white marbles.

The probability of selecting a white marble can be calculated as:

Probability of selecting a white marble = (Number of white marbles) / (Total number of marbles)

Probability of selecting a white marble = 6 / (2 + 4 + 6)

Probability of selecting a white marble = 6 / 12

Probability of selecting a white marble = 0.5

Therefore,

The probability of selecting a white marble from the box is 0.5 or 50%.

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If a p-series is 1 np, you can determine if it converges or not. It converges when p > 1. This is how you test a P series convergence.

The situation diverges if the terms are not close to zero. If you are able to fully control a well-known divergent series with the series, it diverges. To determine if a p p -series is converging or diverging, one can apply the p p -series test. If the denominator's power satisfies p>1 p > 1, the series converges; otherwise, it diverges.

A sequence's convergence can be checked using a variety of techniques. We only need to know the sequence's limit at n n to infinity in some cases. If a series of absolute values P |an| is convergent, the series P an is said to be absolutely convergent.The Geometric Series test is the opposite of the P-Series test in that it requires us to locate a variable raised to a number. We are trying to find a raised number that is a variable!

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To find the probability that the sample mean will lie between 78 and 81, we need to calculate the z-scores corresponding to these values and then use the standard normal distribution to determine the probability.

The Central Limit Theorem states that when the sample size is large enough, the distribution of sample means will be approximately normally distributed, regardless of the shape of the population distribution. In this case, since the sample size is 64 (which is considered large), we can assume that the sample mean follows a normal distribution.

To calculate the probability, we first convert the sample mean values of 78 and 81 into z-scores using the formula:

z = (x - μ) / (σ / √n)

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

For 78:

z = (78 - 80) / (10 / √64) = -2 / 1.25 = -1.6

For 81:

z = (81 - 80) / (10 / √64) = 1 / 1.25 = 0.8

We can then use a standard normal distribution table or a calculator to find the probability associated with these z-scores. The probability that the sample mean will lie between 78 and 81 is the difference between the cumulative probabilities corresponding to these z-scores.

P(78 ≤ x ≤ 81) = P(-1.6 ≤ z ≤ 0.8)

Using a standard normal distribution table or calculator, we can find the cumulative probabilities associated with these z-scores and calculate the probability.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

using N as the center and the same radius as before, draw an arc that intersects NO .Label the arc PQ where Q intersects NO.

Congruent angles have the same measure.

The next step is (b) Using N as the center and the same radius as before, draw an arc that intersects NO. Label the arc PQ where Q intersects NO.

The attached image implies that you have already constructed a straight line NO.

The next step is to construct an arc that intersects line NO

To do this, we make use of the following steps

Hence, the next step is (b)

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The equation 5x + 3 - 2x = 7x + 3 is sometimes true. To determine whether the equation is always, sometimes, or never true, we need to solve the equation and see if it holds true for all values of x.

Let's simplify the equation:

Combining like terms, we have 3x + 3 = 7x + 3.

Next, let's isolate the variable x:

Subtracting 3x from both sides, we get 3 = 4x + 3.

Subtracting 3 from both sides, we have 0 = 4x.

Now, we can solve for x:

Dividing both sides by 4, we get x = 0.

Now, let's analyze the result:

For x = 0, the equation holds true:

5(0) + 3 - 2(0) = 7(0) + 3

3 = 3

However, if we choose any other value for x, the equation does not hold true. For example, if we substitute x = 1 into the equation, we get:

5(1) + 3 - 2(1) = 7(1) + 3

6 ≠ 10

Since the equation is true only for x = 0 and not for all values of x, we can conclude that the equation 5x + 3 - 2x = 7x + 3 is sometimes true.

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Going by the indices provided, if the measure of Angle BZD is (3x) then, x = 17°. The proof is angle on a straight line.

The total angle on a straight line is given as 180°.

Since ∠AZC = 90°; and

∠CZB = 39°; hence,

∠BZD = 180 - (90 + 39) = 51.

If  ∠BZD = 3x

Then 3x = 51

x = 51/3

x= 17°

See the attached image.

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Answer:

you randomly select and eat three chocolates

Answer:

there is a 5/12 chance its a milk chocolate and a 1/4 chance it's dark chocolate it's more likely chance it's a milk chocolate  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given data:

Circumference of the base of the cone = 24in.

Recall that circumference (in this case) is the distance round the base of the cone and from here the diameter D=12in. Radius = 6in

Surface area l = pie x radius ( slant height + radius)

= 3.142 x 6 (20 + 6)

= 3.142 x 6 (26)

= 3.142 x 156

= 490.152in^2

Answer:

384pi inches   hop it halp!!!

Step-by-step explanation:

Below are some authorial techniques that can be used to create mystery, tension, or surprise in literature.

Order of events: The order in which events are presented can create a sense of mystery or suspense.

Pacing: The pace of a story can also be used to create suspense. A slow-paced story can build tension by allowing the reader to dwell on the details of a situation, while a fast-paced story can create excitement and surprise by keeping the reader guessing what will happen next.

Structure: The structure of a story can also be used to create mystery, tension, or surprise. For example, a story that is told in flashback can create a sense of mystery by revealing information about the past that is relevant to the present.

Time manipulation: The manipulation of time can also be used to create suspense.

Language: The language that an author uses can also be used to create mystery, tension, or surprise. For example, an author might use vague or ambiguous language to create a sense of mystery, or use strong language to create a sense of tension or surprise.

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Frequency means how often a number or something appears.

so,

2

4

3

5

Answer:

Step-by-step explanation:

false true true false

Answer:

false true true and false

Step-by-step explanation:

Based on the given sample, there is sufficient evidence to suggest that the home team has a higher probability of winning in football games.

To test the claim that the probability of the home team winning is greater than one-half, a significance test can be conducted using the given sample of 45 football games, where 28 were won by the home team. The test will determine if the observed proportion of home team wins is statistically significant enough to support the claim.

To test the claim, we can use a hypothesis test with the following null and alternative hypotheses:

Null Hypothesis (H0): The probability of the home team winning is equal to one-half or less (p <= 0.5).

Alternative Hypothesis (Ha): The probability of the home team winning is greater than one-half (p > 0.5).

To conduct the test, we can use the z-test for proportions since we have a large sample size (n = 45). The test statistic, z, can be calculated using the formula:

z = (p - p0) / sqrt[(p0 * (1 - p0)) / n],

where p is the sample proportion, p0 is the hypothesized proportion under the null hypothesis, and n is the sample size.

In this case, p is the observed proportion of home team wins, which is 28/45, or approximately 0.622. Since the null hypothesis states that p <= 0.5, we use p0 = 0.5 in the calculation.

Using the formula, the calculated z-value is:

z = (0.622 - 0.5) / sqrt[(0.5 * (1 - 0.5)) / 45] = 1.911.

Next, we compare the calculated z-value to the critical z-value at the chosen significance level. Let's assume a significance level of α = 0.05 for a one-tailed test.

Looking up the critical z-value for a one-tailed test with α = 0.05, we find it to be approximately 1.645.

Since the calculated z-value (1.911) is greater than the critical z-value (1.645), we have evidence to reject the null hypothesis. This means that the observed proportion of home team wins (0.622) is statistically significant and supports the claim that the probability of the home team winning is greater than one-half.

Therefore, based on the given sample, there is sufficient evidence to suggest that the home team has a higher probability of winning in football games.

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There are 191 different patterns of mail delivery possible for the 19 houses on the northern side of the street, satisfying the given conditions.

To determine the number of different patterns of mail delivery in this scenario, we can use a combinatorial approach.

Let's consider the possible patterns based on the number of houses in a row that receive mail on the same day: If no houses in a row receive mail on the same day: In this case, all 19 houses would receive mail on different days. We have a single pattern for this scenario.

If one house in a row receives mail on the same day: We have 19 houses, and we can choose one house in a row that receives mail on the same day in 19 different ways. The remaining 18 houses would receive mail on different days. So, we have 19 possible patterns for this scenario.

If two houses in a row receive mail on the same day: We have 19 houses, and we can choose two houses in a row that receive mail on the same day in C(19, 2) = 19! / (2! * (19-2)!) = 171 different ways. The remaining 17 houses would receive mail on different days. So, we have 171 possible patterns for this scenario.

Therefore, the total number of different patterns of mail delivery in this scenario is: 1 (no houses in a row) + 19 (one house in a row) + 171 (two houses in a row) = 191 different patterns.

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To find the probability distribution, mean, and variance of X, which represents the longest string of heads occurring when a fair coin is tossed four times, we can analyze the possible outcomes.

When tossing a fair coin four times, the possible values of X can range from 1 to 4. Let's calculate the probability of each value:

X = 1: This means that the longest string of heads is one, indicating that there are no consecutive heads. There is only one way this can happen: TTTT (T denotes tails). The probability of this outcome is (1/2)^4 = 1/16.

X = 2: This means that the longest string of heads is two. There are two ways this can happen: HTTT or TTHH. The probability of each outcome is (1/2)^4 = 1/16. Since there are two equally likely outcomes, the probability of X = 2 is 2/16 = 1/8.

X = 3: This means that the longest string of heads is three. There are three ways this can happen: HHTT, THHT, or TTTH. The probability of each outcome is (1/2)^4 = 1/16. Since there are three equally likely outcomes, the probability of X = 3 is 3/16.

X = 4: This means that the longest string of heads is four, indicating that all four coin tosses result in heads. There is only one way this can happen: HHHH. The probability of this outcome is (1/2)^4 = 1/16.

Now, let's calculate the mean and variance of X:

Mean (μ) = ∑(X * P(X))

  = (1 * 1/16) + (2 * 1/8) + (3 * 3/16) + (4 * 1/16)

  = 1/16 + 2/8 + 9/16 + 4/16

  = 16/16

  = 1

Variance (σ^2) = ∑((X - μ)^2 * P(X))

  = (0^2 * 1/16) + (1^2 * 1/8) + (2^2 * 3/16) + (3^2 * 1/16)

  = 1/16 + 1/8 + 3/8 + 9/16

  = 26/16

  = 13/8

Therefore, the probability distribution of X is:

P(X = 1) = 1/16

P(X = 2) = 1/8

P(X = 3) = 3/16

P(X = 4) = 1/16

The mean of X is 1 and the variance of X is 13/8.

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Answer:

They are opposite angles. If you rotate the figure SQM 180 degrees counter clockwise, they will be the exact same triangle and therefore the exact same measure.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a^2+b^2=c^2

c^2-b^2=a^2

2^2-1^2=c^2

c^2=3

c=\(\sqrt{3}\)

espero que esto te ayude, pero no se si esta correcto lo siento

Answer:

x = 3

Step-by-step explanation:

\( {2}^{(2x - 3)} \ast {5}^{(x - 1)} = 200 \\ \\ \implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} =8 \ast \: 25 \\ \\\implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} = {2}^{3} \ast {5}^{2} \)

Comparing like terms on both sides, we find:

\({2}^{(2x - 3)}= {2}^{3}\: \: or \:\:{5}^{(x - 1)} = {5}^{2} \)

\(\implies \:2x - 3 = 3 \: \: or \: \:x - 1 = 2 \\ \\ \implies \:2x = 3 + 3 \: \: or \: \: x = 1 + 2\\ \\ \implies \:2x = 6 \: \: or \: \: x = 3 \\ \\ \implies \:x = \frac{6}{3} \: \: or \: \: x = 3 \\ \\ \implies \:x = 3 \: \: or \: \: x = 3 \\ \\ \implies \huge \:x = 3 \)