65 m
16 m
b
What is the length of the missing leg?

Therefore, probability solution is estimating this likelihood without additional data or analysis is inappropriate correct response is option a.

The main goal of the mathematical branch known as statistical inference is to estimate the likelihood that a statement is accurate or that a particular event will take place. Any number among 0 and 1, where 1 typically denotes confidence and 0 typically denotes possibility, can be used to symbolise chance. A probability diagram illustrates the likelihood that a particular occurrence will take place.

Here,

Because of the skewed demographic distribution, the right response is (a).

We could use the normally distributed to compute probabilities because the length of adult American ladybirds is distributed normally with a known standard deviation. The normal distribution may not, however, correctly depict the distribution of ladybird lengths in the population due to the skewed population distribution.

Furthermore, even if the difference between the actual community mean and the assumed mean of 1 cm is tiny, the given size of the population of 440000 could result in a statistically significant outcome.

However, because the assumption of normality may not hold true, this does not imply that we can accurately determine the likelihood of a random ladybird in Raleigh being larger than 1.5 centimetres.

Therefore, estimating this likelihood without additional data or analysis is inappropriate.

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Answer:

x = 1/2y + 3/2

y = 2x - 3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

You go over 2 and down 3

Answer:

W= B-3 or 3=B-W

Step-by-step explanation:

just add or subtract either

Answer:

w = b - 3

Step-by-step explanation:

3 + w = b

-3        -3

w = b - 3

Hope this helps!

The conversions for (a) Octal: 674, Hexadecimal:  DE0, for (b) Octal: 1161 Hexadecimal:  9C1. and for (c) Octal: 11140.
Hexadecimal: 930

(a) To convert from binary to octal, we group the binary digits into groups of three starting from the right and then convert each group to its octal equivalent. So, we have:

110 111 100

Converting each group to octal, we get:

6 7 4

Therefore, the octal equivalent of 110111100 is 674.

To convert from binary to hexadecimal, we group the binary digits into groups of four starting from the right and then convert each group to its hexadecimal equivalent. So, we have:

1101 1110 0

Converting each group to hexadecimal, we get:

D E 0

Therefore, the hexadecimal equivalent of 110111100 is DE0.

(b) To convert from binary to octal, we group the binary digits into groups of three starting from the right and then convert each group to its octal equivalent. So, we have:

001 001 110 001

Converting each group to octal, we get:

1 1 6 1

Therefore, the octal equivalent of 1001110001 is 1161.

To convert from binary to hexadecimal, we group the binary digits into groups of four starting from the right and then convert each group to its hexadecimal equivalent. So, we have:

1001 1100 01

Converting each group to hexadecimal, we get:

9 C 1

Therefore, the hexadecimal equivalent of 1001110001 is 9C1.

(c) To convert from binary to octal, we group the binary digits into groups of three starting from the right and then convert each group to its octal equivalent. So, we have:

001 001 001 100 0

Converting each group to octal, we get:

1 1 1 4 0

Therefore, the octal equivalent of 10010011000 is 11140.

To convert from binary to hexadecimal, we group the binary digits into groups of four starting from the right and then convert each group to its hexadecimal equivalent. So, we have:

1001 0011 0000

Converting each group to hexadecimal, we get:

9 3 0

Therefore, the hexadecimal equivalent of 10010011000 is 930.

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The time taken by the car way back if it travelled at speed 56 km/hr is 4.5 hours

According to the question,

Time taken by car to reach its destination = 4 hours

Speed of travelling to destination = 63 km/hr

Using distance-time formula

Speed = distance / time

=> distance = speed × time

Distance travelled = 63 × 4

=> 252 km

Also , Car travelled back at speed = 56 km/hr

Time taken = 252 / 56

=> 4.6 hours

Let time = t and speed = s.

S varies in opposition to t.

When the inverse variation constant k is added, it becomes

s = k/t

If s = 56, then t = 4.5.

56 = k/4.5

k = 4.5 × 56

=> k = 252 is constant of variation

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Answer:

y = 4

Step-by-step explanation:

The three lines means those segments are equal

4y+8 = 24

Subtract 8 from each side

4y+8-8 = 24-8

4y = 16

Divide each side by 4

4y/4 = 16/4

y = 4

The answer choice which represents a function among the given answer choices is; Choice B.

According to the given task content; the table which represents a function among the given answer choice is to be identified.

Recall that a function can be defined as a relation in which case; each input value is assigned not more than one value.

By observation, only the answer choice B has a combination of input and output values in which case; each input value is assigned only one output value.

Hence, since a function is a relation which is characterized by assigning only one output value to each input value; the correct answer choice is; Choice B.

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The cost of one daylily is $2.

The cost of one geranium is $1.

Let x be the cost of one daylily and y be the cost of one geranium. We can set up the following system of equations:

```

x + 3y = 12

10x + y = 33

```

We can solve this system of equations by multiplying the first equation by -10 and adding it to the second equation. This gives us:

```

9x = 21

x = 2

```

Substituting this value into either of the original equations, we can solve for y:

```

2 + 3y = 12

3y = 10

y = 3.33

```

Therefore, the cost of one daylily is $2 and the cost of one geranium is $1.

Here is a table showing the steps involved in solving the system of equations:

| Equation | Step | Result |

|---|---|---|

| x + 3y = 12 | Multiply by -10 | -10x - 30y = -120 |

| 10x + y = 33 | Add the two equations | -29y = -87 |

| y = -87 / -29 | Divide both sides by -29 | y = 3 |

| x + 3(3) = 12 | Substitute y = 3 into the first equation | x + 9 = 12 |

| x = 2 | Subtract 9 from both sides | x = 2 |

As you can see, the solution to the system of equations is x = 2 and y = 3. This means that the cost of one daylily is $2 and the cost of one geranium is $1.

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Answer:

C

Step-by-step explanation:

Answer:

C because 340 represents the ticket sales . It wouldnt be d because it 2a and 5c when it should be 5A for the adults and 2C for the children

Step-by-step explanation:

Answer:

\(y = 40\cdot k\)

Step-by-step explanation:

Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:

\(y \propto x\)

\(y = k \cdot x\)

Where \(k\) is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:

\(y = 40\cdot k\)

Answer:

The first answer is ''y=45 x''

1800 people for the second one

If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9

The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.

However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).

Therefore, p must end in 5. This means that p can be written in the form:

p = 10n + 5

where n is some integer. Now, let's consider what happens when we divide p by 10:

p/10 = (10n + 5)/10 = n + 0.5

Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.

To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).

Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.

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Both Sheila and Bob together can wash the car in 10 minutes

Calculating work :

The formulas to find work and time is given by

Time Taken = 1 / Rate of Work

Rate of Work = 1 / Time Taken

If a work can be done in x number of days, then the work can be done in one day = 1/x

Total Work done = Number of Days × Efficiency ( of the person or machine )

Given that,    

Sheila can wash her car in 15 minutes

Let us consider washing the car is 1 unit of work

Then the work can done by Sheila in 1 minute = 1/15  

Bob take twice as long as Sheila to wash the same

Bob can wash the same car in 30 minutes

Then the work can done by Bob  in 1 minute = 1/30  

From above calculation,

The work can be done by Sheila and Bob = (1/15 + 1/30)

= (2+1) /30 = 3/30 = 1/10  

So the efficiency of Both Sheila and Bob per minute = 1/10

Let Both can complete the work in x minutes

As we know Total Work done = time × Efficiency

⇒ 1 = x × 1/10

⇒ x = 1 × 10

⇒ x = 10 minutes

Therefore,

Both Sheila and Bob together can wash the car in 10 minutes

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a. The Gini impurity index for the root node is 0.469

b. The Gini impurity index for partition is 0.3208

c. The Gini impurity index for partition 2 is 0.2249

d. The Gini impurity index for the split is 0.2514.

a. The Gini impurity index for the root node can be calculated as follows:

Total cases in both partitions = 43 + 12 + 24 + 121 = 200

Proportion of Class 1 cases in root node = (43 + 24) / 200 = 0.335

Proportion of Class 0 cases in root node = (12 + 121) / 200 = 0.665

Gini impurity index = \(1 - ((0.335)^2 + (0.665)^2) = 0.469\)

b. The Gini impurity index for partition 1 can be calculated as follows:

Total cases in partition 1 = 43 + 12 = 55

Proportion of Class 1 cases in partition 1 = 43 / 55 = 0.782

Proportion of Class 0 cases in partition 1 = 12 / 55 = 0.218

Gini impurity index =\(1 - ((0.782)^2 + (0.218)^2) = 0.3208\)

c. The Gini impurity index for partition 2 can be calculated as follows:

Total cases in partition 2 = 24 + 121 = 145

Proportion of Class 1 cases in partition 2 = 24 / 145 = 0.1655

Proportion of Class 0 cases in partition 2 = 121 / 145 = 0.8345

Gini impurity index =\(1 - ((0.1655)^2 + (0.8345)^2) = 0.2249\)

d. The Gini impurity index for the split can be calculated as follows:

Weighted average of the Gini impurity index for partition 1 and partition 2:

[(55/200) × 0.3208] + [(145/200) × 0.2249] = 0.2514

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a) Year 1: 1.00,Year 2: 1.10,Year 3: 1.21,Year 4: 1.33,Year 5: 1.46, Year 6: 1.60, Year 7: 1.76, Year 8: 1.94, Year 9: 2.13 ,Year 10: 2.34, Year 11: 2.46, Year 12: 2.59.

b) The actuarial expression for the present value of the perpetuity immediate can be written as:

\(PV = (1/0.10) \times [1 - (1/1.10^{10})] + (1/0.05) \times [1/1.10^{10}] \times [1 - (1/1.05^∞)]\)

a) The first 12 payments for the perpetuity immediate with annual payments of 1, 3, 5, 7, 9, 11,……. and interest rate of 10% for the first 10 years and 5% after that are:
Year 1: 1.00
Year 2: 1.10
Year 3: 1.21
Year 4: 1.33
Year 5: 1.46
Year 6: 1.60
Year 7: 1.76
Year 8: 1.94
Year 9: 2.13
Year 10: 2.34
Year 11: 2.46
Year 12: 2.59
b) The actuarial expression for the present value of the perpetuity immediate can be written as:

\(PV = (1/0.10) \times [1 - (1/1.10^{10})] + (1/0.05) \times [1/1.10^{10}] \times [1 - (1/1.05^∞)]\)

where PV is the present value of the perpetuity, 0.10 is the interest rate for the first 10 years, 0.05 is the interest rate

after the first 10 years, and ∞ represents infinity (i.e., the perpetuity continues forever).

This formula takes into account the different interest rates for the two periods and discounts the future payments to

their present value.

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The value of c in the perfect square trinomial \(x^2\) + 10x + c can be determined by examining the entries in the 6-column table.

In the given table, the first column represents \(x^2\) and has entries x, x, x, x, x. The second column represents x and has missing entries, which we need to determine. The third, fourth, fifth, and sixth columns also have missing entries.

To find the value of c in the perfect square trinomial \(x^2\) + 10x + c, we need to complete the table and observe the entries in the second column. Since the first column represents \(x^2\), we can see that each entry is \(x^2\). Thus, the missing entries in the second column are x, x, x, x, x, respectively.

The perfect square trinomial \(x^2\) + 10x + c can be factored as \((x + 5)^2\), which expands to \(x^2\) + 10x + 25. Comparing this with the given expression, we can conclude that c = 25.

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Step-by-step explanation:

Doubled of 132 which means 2 times 132 =

Subtract 12 doubled from 132

While write the expression whatever the expression after the word from that we have to write first

So Doubled of 132 - 12

- 12 -----> This is the final expression

If we simplify the above expression we will get

264 - 12

= 252

Answer:

2*(132-12)

Step-by-step explanation:

from 132 meaning its the biggest number or the number where operations act on.

subtract 12, so ignoring doubled, subtract 12 from 132 is 132-12,

doubled meaning x2 so its 2*(132-12)

Answer:

38

Step-by-step explanation:

The rule of PEMDAS (parentheses, exponents, multiply, divide, addition, subtraction) must be followed when solving this equation.

1. Simplify the equation

m · 6 + 3 · 4 = 240

m · 6 + 12 = 240

2. Solve for m

- subtract 12 from both sides

m · 6 = 228

- divide both sides by 6

228 ÷ 6 = 38

m = 38

Answer:

38 is right

Step-by-step explanation

i just took the test

Discrete variables are Number of pockets inside the jacket .

A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of students in attendance. how many red marbles are in the jar. number of heads when three coins are flipped. The number of students, kids, the shoe size, and so forth are some typical examples of discrete data. Height, weight, length, time, temperature, age, and other continuous data are typical examples. Discrete data are represented by integer and ordinal data values. Continuous Variable. "Discrete variables" are variables that have a finite number of possible values. Each and every qualitative variable is discrete. Certain quantitative variables, like performance ratings of 1, 2, 3, 4, or 5, or temperature rounded to the nearest degree, are discrete.

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Answer:

5

Step-by-step explanation:

f(1) means what is the value when x=1. y is at 5.

Answer:

f(1)=5

Step-by-step explanation: If you plug in 1 for x on the graph, then y is equal to 5.

Answer:25.7

Step-by-step explanation:

Answer:

7/64

Step-by-step explanation:

7/6÷8=7/6*1/8=7/64

Hope this helps :)

Answer:

Step-by-step explanation:

5b-5-9b+8+4b=

=0+3=3

The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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Answer:   Range should be  [ -4 , ∞ )

Step-by-step explanation:

When using interval notation, use a square bracket to indicate  ≤ or ≥ .

It also helps to be consistent -  like state the inequality notation first, then interval notation. It's less confusing when it is in the same order.

Answer: dividing the 4

Step-by-step explanation:

Answer: Both -5 and one are true solutions.

Step-by-step explanation:

Answer:

C

Step-by-step explanation: