Leah had 50 stickers. Leah gave 1/2 of the stickers to her sister. Of the amount left, she gave 2/5 to her friend.How many does Leah have left for herself?

Answer: a) inter rater

Step-by-step explanation:

Inter rater is a type of relativity that measures the degree of agreement between rates and judges.

It is used to ensure that the score gotten among rates are in consensus with one another.

Inter rater relativity reduces inconsistency in the application of data collected.

The scenario where two trained professionals rate observed children's behaviors using the same form and comparing their ratings exemplifies inter-rater reliability (option a), focusing on the consistency of measurements between different observers.

The type of reliability being described in the scenario is inter-rater reliability. This type of reliability is concerned with the level of agreement between two or more independent observers or raters when they assess the same behaviors using a standardized method or form. To ensure that a study's measures are consistently capturing the concepts of interest, researchers often assess inter-rater reliability.

Inter-rater reliability can involve qualitative categories (like behavioral observations in a classroom) where the agreement percentage reflects the reliability. Alternatively, for measurements on interval or ratio scales, the correlation between the raters' scores can be used. When two professionals observe children and rate their behavior on the same form, looking for agreement in items rated, they establish inter-rater reliability.

Answer: B. Population X will require a larger sample size

Step-by-step explanation:

Given : Two population distributions labeled X and Y.

Distribution X → highly skewed

Distribution Y → slightly skewed.

Since Distribution X more skewed so , we will need a larger sample size of population X as compared to Y.

Hence, the correct answer is B. Population X will require a larger sample size

The correct option is B. Population X will require a larger sample size.

According to the Central Limit Theorem, the sampling distribution of the sample mean will tend to be normally distributed as the sample size becomes larger, regardless of the shape of the population distribution. However, the rate at which the sampling distribution approaches normality depends on the degree of skewness in the population distribution.

For a population distribution that is highly skewed (like Distribution X), a larger sample size is needed for the sampling distribution to approximate a normal distribution compared to a population distribution that is only slightly skewed (like Distribution Y). This is because the effects of skewness are more pronounced and take longer to "average out" in larger samples.

Therefore, to achieve the same degree of normality in their respective sampling distributions, Population X, with its high skewness, will require a larger sample size than Population Y, which is only slightly skewed.

Answer:

D, [tex]4^{3} \sqrt{9}[/tex]

Answer:

d

Step-by-step explanation:

Answer:

(-8, 3), (8, -3)

Step-by-step explanation:

Point symmetry about origin means reflection of the given point about the origin.

The reflection of a point about the origin will cause the 'x' and 'y' value of the point to change its sign.

Therefore, the coordinate rule for point symmetry about the origin is given as:

[tex](x,y)\to (-x,-y)[/tex]

Now, let us check each of the given options.

Option 1:

(-8, 3), (8, -3)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3)

So, option 1  is correct.

Option 2:

(-8, 3), (-3, 8)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3) ≠ (-3, 8)

So, option 2 is not correct.

Option 3:

(-8, 3), (-8, -3)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3) ≠ (-8, -3)

So, option 3 is not correct.

Option 4:

(-8, 3), (8, 3)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3) ≠ (8, 3)

So, option 4 is not correct.

Hence, only option 1 is correct.

Answer:

Momentum of  hocking player [tex]1:[/tex] [tex]247\ kg\ m/s[/tex]

Hockey player [tex]2:[/tex] [tex]=249.4\ kg\ m/s[/tex]

Step-by-step explanation:

For first hockey player :

Given that

mass (m) [tex]=65\ kg[/tex]

Velocity (v) [tex]=3.8\ m/s[/tex]

[tex]p=mv\................(1)[/tex]

where [tex]p[/tex] is momentum

put the value in equation (1)

[tex]p=65\times3.8\\\\p=247kg\times m/s[/tex]

For second hockey player :

Given that

mass (m) [tex]=58\ kg[/tex]

velocity (v) [tex]=4.3\ m/s[/tex]

[tex]p=mv\ ...............(2)[/tex]

Where [tex]p[/tex] is momentum

put the value in equation (2)

[tex]p=58\times4.3\\p=249.4\ kg\times m/s[/tex]

Answer:

P=1/12

Step-by-step explanation:

From Exercise we have  ten people are in a room wearing badges marked 1 through 10.

For first man we conlude that  the probability that is 5/10,  that  his number at least 6.

For second man we conlude that  the probability that is 4/9,  that  his number at least 6.

For third man we conlude that  the probability that is 3/8,  that  his number at least 6.

Therefore, the probability is

P=5/10 · 4/9 · 3/8 = 1/12

P=1/12

Answer: The solution is [2, 1]

Step-by-step explanation:

The given system of simultaneous equations is expressed as

7x - 6y = - 20 - - - - - - - - - - 1

3x + 5y = - 1 - - - - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 3 and equation 2 by 7. It becomes

21x - 18y = - 60 - - - - - - - - - - 3

21x + 35y = - 7 - - - - - - - - - - 4

Subtracting equation 4 from equation 3, it becomes

- 53y = - 53

Dividing the left hand side and the right hand side of the equation by - 53, it becomes

- 53y/ - 53 = - 53/ - 53

y = 1

Substituting y = 1 into equation 2, it becomes

3x + 5 × 1 = - 1

3x + 5 = - 1

Subtracting 5 from the left hand side and the right hand side of the equation, it becomes

3x + 5 - 5 = - 1 - 5

3x = - 6

Dividing the left hand side and the right hand side of the equation by 3, it becomes

3x/3 = - 6/3

x = 2

Answer:

  17 inches

Step-by-step explanation:

The scale is the same at every distance, so ...

  [tex]\dfrac{\text{1 in}}{\text{4 yd}}=\dfrac{w}{\text{68 yd}}\\\\\text{(1 in)}\dfrac{\text{68 yd}}{\text{4 yd}}=w \qquad\text{multiply by 68 yd}\\\\\text{17 in}=w[/tex]

The park is 17 inches wide on the drawing.

Answer:

17 in

Step-by-step explanation:

68 yds divided by 4 equals 17 in

Answer:

a. Mean = 6

Variance = 2.4

Standard Deviation = 1.55

b. P(X=16) = 0.124

Step-by-step explanation:

Given

n = Total shots = 10

p = Probability of success = 60%

p = 60/100

p= 0.6

q = Probability of failure

q = 1-p

q = 1 - 0.6

q = 0.4

a.

Mean = np

Mean = 10 * 0.6

Mean = 6

Variance = npq

Variance = 10 * 0.6 * 0.4

Variance = 2.4

Standard Deviation = √Variance

Standard Deviation = √2.4

Standard Deviation = 1.549193338482966

Standard Deviation = 1.55 --------- approximated

b.

We have X = 16

x = 10

Assume that the events "success" on the various throws are independent.

The 10th success came on the 16th attempt

So, the player had exactly 10 successes and 6 failures on 16th trial

So Probability = nCr 0.6^10 * 0.4^6

Where n = 15 and r = 9 (number of attempts and success before the 16th trial)

15C9 * 0.6^10 * 0.4^6

= 5005 * 0.0060466176 * 0.004096

= 0.123958563176448

= 0.124 ------ Approximated

A. The mean, variance, and standard deviation of x are: Mean: 16.67, Variance: 11.11 and  Standard deviation: 3.33.   B. The probability that the player will need exactly 16 attempts to make 10 successful shots is approximately 0.123

Given that a basketball player can make a free throw 60% of the time, we are to determine the minimum number of free throws that this player must attempt to make a total of 10 shots.

Since each shot is independent and has a 60% chance of being successful, this scenario follows a negative binomial distribution.

(a) Calculating the mean, variance, and standard deviation:

Mean:

[tex]\[ \mathbb{E}[X] = \frac{r}{p} = \frac{10}{0.60} = \frac{10}{0.6} = 16.67 \][/tex]

Variance:

[tex]\[ \text{Var}(X) = \frac{r(1-p)}{p^2} = \frac{10(1-0.60)}{0.60^2} = \frac{10 \cdot 0.40}{0.36} = \frac{4}{0.36} = 11.11 \][/tex]

Standard deviation:

[tex]\[ \sigma = \sqrt{\text{Var}(X)} = \sqrt{11.11} \approx 3.33 \][/tex]

So, the mean, variance, and standard deviation of x are: Mean: 16.67, Variance: 11.11 and  Standard deviation: 3.33

(b) Finding  P(X = 16)

The probability mass function of a negative binomial random variable  \is given by:

[tex]\[ P(X = k) = \binom{k-1}{r-1} p^r (1-p)^{k-r} \][/tex]

[tex]\[ P(X = 16) = \binom{15}{9} (0.60)^{10} (0.40)^{6} \][/tex]

Calculating the binomial coefficient:

[tex]\[ \binom{15}{9} = \frac{15!}{9!(15-9)!} = \frac{15!}{9!6!} \][/tex]

This can be computed as follows:

[tex]\[ \binom{15}{9} = \frac{15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10}{6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1} = 5005 \][/tex]

Combining these:

[tex]\[ P(X = 16) = 5005 \cdot 0.0060466 \cdot 0.004096 \approx 0.123 \][/tex]

Therefore:

[tex]\[ P(X = 16) \approx 0.123 \][/tex]

So, the probability that the player will need exactly 16 attempts to make 10 successful shots is approximately 0.123

Final answer:

Omar will run greater than 5 km on the 44th day of his training program, as this is when the distance he runs each day according to the pattern in his training exceeds 5 km.

Explanation:

Omar increases his running distance each day by 0.10 km (from 0.75 km on the first day to 0.85 km on the second, then to 0.95 km on the third, and so on). To find the first day he will run greater than 5 km, we can create a sequence to represent the distances he runs each day. Since the difference between consecutive days is constant (0.10 km), this is an arithmetic sequence.

The first term (a1) of the sequence is 0.75 km, and the common difference (d) is 0.10 km. The nth term of an arithmetic sequence is given by an = a1 + (n - 1)d. We need to find the smallest n such that an > 5 km.

Setting up the inequality, we get:
0.75 + (n - 1)0.10 > 5
(n - 1)0.10 > 5 - 0.75
(n - 1)0.10 > 4.25
n - 1 > 42.5
n > 43.5

Since n must be a whole number, Omar will run greater than 5 km on day 44 of his training program.

Answer:8.5

Step-by-step explanation:

Pythagorean Theorem

A

a^2 + b^2 = c^2

3^2 + 8^2 = c^2

9 + 64 = c^2

73 = c^2

C= Sqrt (73)

C = 8.5

Answer:

-2x + 3

Step-by-step explanation:

f(x) - g(x)

(-2x + 4) - (-6.0 - 7)

-2x + 4 - (-6.0) - 7

-2x + 4 + 6.0 - 7

-2x + 10 - 7

-2x + 3

Answer:

543

Step-by-step explanation:

Given: Claudia score= 275 points

           Hannah score= 268 points

 Now, finding the how many points girls scored in the game.

Total score by girls= [tex]Score\ of\ Claudia + score\ of\ Hannah[/tex]

⇒ Total score by girls= [tex]275+268[/tex]

Total score by girls= 543.

Hence, Total score by girls is 543.        

Answer:

36

Step-by-step explanation:

He multiplied the four and the three first when he multiplied the equation together. However, according to the order of the operations, he was supposed to square three first. 3^2 = 9. Then multiplied 9*4 = 36.

Answer:

A. Used to keep track of very large and very small numbers during mathematical calculations.

Step-by-step explanation:

Some very large and small numbers are not easily represented in mathematical calculations. Using scientific notations help us to represent very large and small numbers to the power of 10.

Answer:

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

BC represents the hypotenuse of the right angle triangle.

With m∠C as the reference angle,

AC represents the adjacent side of the right angle triangle.

AB represents the opposite side of the right angle triangle. if Sin C = 15/17, it means that

Opposite side = 15

Hypotenuse = 17

We would find the adjacent side by applying Pythagorean theorem. Therefore,

Adjacent side² = 17² - 15² = 64

Adjacent side √ 64 = 8

To determine the ratio of Cos C, we would apply

the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos C = 8/17

For the described uniform distribution, the probability that a fish is between 0.25 and 2 feet long can be found by calculating the area under the probability density function graph, which gives a result of 43.75%.

The given situation implies a uniform distribution as the probability density function is constant (equal to 1/4) for fish lengths between 0 and 4 feet, and zero otherwise. For such a distribution, the probability that the length x is in an interval can be found by calculating the area under the probability density function graph for that interval. As the graph is a rectangle, this is as simple as length times width.

Here, the interval is from 0.25 to 2 feet. The length of this interval is (2 - 0.25)= 1.75 feet. The width of the rectangle is the constant probability density function value of 1/4. Hence, the probability that a fish caught by the sports fishermen is between 0.25 and 2 feet long is 1.75 * 1/4 = 0.4375 or 43.75%.

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Answer:

The action required by the submarine to get back to the surface is to rise 195 feet

Step-by-step explanation:

we know that

The ocean's surface or sea level is at an elevation of 0 feet.

we have

1) A submarine dives 270 feet below the ocean's surface

In this moment the position of the submarine is

-270 ft ---> is negative because is below the sea level

2) It then rises 90 feet

In this moment the position of the submarine is

-270+90=-180 feet

3) rises another 40 feet,

In this moment the position of the submarine is

-180+40=-140 feet

4) Finally dives 55 feet

In this moment the position of the submarine is

-140-55=-195 feet

therefore

The action required by the submarine to get back to the surface is to rise 195 feet

Final answer:

The submarine initially dives to 270 feet below the surface and undergoes a series of rises and dives. After all movements, it is at a depth of 195 feet. To return to the surface, it needs to rise 195 feet.

Explanation:

A student asked: A submarine dives 270 feet below the ocean's surface. It then rises 90 feet, rises another 40 feet, and finally dives 55 feet. What action is required by the submarine to get back to the surface?

To solve this problem, we will sum up the changes in the submarine's depth and find out how much more it needs to rise to reach the surface.

Summing up these changes: -270 + 90 + 40 - 55 = -195 feet.

The submarine is currently 195 feet below the surface. Therefore, to get back to the surface, the submarine needs to rise 195 feet.

Answer: Julia is 48 years

The oldest child is 16 years

The youngest child is 12 years

Step-by-step explanation:

Let x represent the age of the youngest child.

Let y represent the age of the oldest child.

Let x represent Julia's age.

The sum of the ages of Julia and her 2 kids is 76 years. This means that

x + y + z = 76- - - - - - - - - - -1

Julia has 2 children who are 4 years apart in age. This means that

y = x + 4

Julia is four times older than her youngest child. This means that

z = 4x

Substituting z = 4x and y = x + 4 into equation 1, it becomes

x + x + 4 + 4x = 76

6x = 76 - 4 = 72

x = 72/6 = 12

y = x + 4 = 12 + 4

y = 16

z = 4x = 4 × 12

z = 48

Answer:

what?

Step-by-step explanation:

Step-by-step explanation:

F(x) is the antiderivative (or integral) of f(x).

F(x) = ∫ f(x) dx

F(x) = sin(1/(x² + 1))

∫₁² f(x) dx

= F(2) − F(1)

= sin(1/(2² + 1)) − sin(1/(1² + 1))

= sin(⅕) − sin(½)

= -0.281

Answer:

The Final answer will be [tex]x^2-x+1[/tex] with remainder 0.

Step-by-step explanation:

We have attached the division for your reference.

Given:

Dividend = [tex]x^4+x^3+7x^2-6x+8[/tex]

Divisor = [tex]x^2+2x+8[/tex]

Explaining the division we get;

Step 1: First when we divide the Dividend [tex]x^4+x^3+7x^2-6x+8[/tex] with divisor  [tex]x^2+2x+8[/tex] we will first multiply [tex]x^2[/tex] with the divisor then we get the Quotient as [tex]x^2[/tex]  and Remainder as [tex]-x^3-x^2-6x+8[/tex]

Step 2: Now the Dividend is [tex]-x^3-x^2-6x+8[/tex] and Divisor [tex]x^2+2x+8[/tex] is  we will now multiply [tex]-x[/tex] with the divisor then we get the Quotient as [tex]x^2-x[/tex] and Remainder as [tex]x^2+2x+8[/tex]

Step 3: Now the Dividend is [tex]x^2+2x+8[/tex] and Divisor is [tex]x^2+2x+8[/tex] we will now multiply 1 with the divisor then we get the Quotient as [tex]x^2-x+1[/tex]  and Remainder as 0.

Hence The Final answer will be [tex]x^2-x+1[/tex] with remainder 0.

Answer: the function is

A = 120000(1.055)^x

Step-by-step explanation:

A homes value increases at an average rate of 5.5% each year. The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

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

Where

A represents the value of the home after t years.

n represents the period of growth

t represents the number of years.

P represents the initial value of the home.

r represents rate of increase in value.

From the information given,

P = 120000

r = 5.5% = 5.5/100 = 0.055

n = 1

Therefore

A = 120000(1 + 0.055/1)^ x × 1

A = 120000(1.055)^x

Answer:

B. Based on analysis and opinions gathered from various departments

Step-by-step explanation:

Conference method of cost estimation envisages a widespread process in which head of different unit of organisation is consulted and their skill in their area of operation is tapped to make estimation of cost of the operation of different department.

Answer:

A score of greater than equal to 128 and less than 188 will get a grade of Upper C

Step-by-step explanation:

We are given the following in the question:

Scores:

66​, 74​, 71​, 81

Let x be the score on fifth test.

[tex]\text{Average} = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]

To get a grade of Upper C​, the average of the first five tests scores must be greater than or equal to 70 and less than 80.

[tex]70 \leq \text{Average} < 80[/tex]

The fifth test counts as two​ tests.

Putting the values we get:

[tex]70 \leq \dfrac{66 +74+71 + 81+ x}{6} < 80\\\\420 \leq 292 + x < 480\\420 -292 \leq x < 480 - 292\\128 \leq x < 188[/tex]

Thus, a score of greater than equal to 128 and less than 188 will get a grade of Upper C

To earn an Upper C, solve an inequality with the average test scores. If the fifth test counts as two tests, the formula changes. Solve the new inequality to find the score needed.

To find the least score you can get on the last test and still earn an Upper C, you need to solve the inequality:

(66 + 74 + 71 + 81 + x)/5 ≥ 70

(66 + 74 + 71 + 81 + x)/5 < 80

Solving this inequality will give you the range of scores you can get on the last test. If the fifth test counts as two tests, you can use the weighted average formula:

((66 + 74 + 71 + 81) + 2x)/7 ≥ 70

((66 + 74 + 71 + 81) + 2x)/7 < 80

Solving these inequalities will give you the score you need on the last test.

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Answer:

Option b) Sample                                                            

Step-by-step explanation:

We are given the following in the question:

Survey:

356 surveys on television-viewing habits of American adolescents.

Result:

Average of 3.1 hours per day.

Population and sample:

For the given survey, those who responded to the survey forms a a sample as it is a part of 356 surveys that is a subset of population.

The correct answer is

Option b) Sample

Answer:

$9 per hour (not week)

9x > or = 135

x > or = 45 hours she must work

Step-by-step explanation:

Answer: she must work for at least 15 hours in a week to earn at least $135

Step-by-step explanation:

Let x represent the number of hours that Lailah must work in a week to earn at least $135.

Lailah earns $9 per week working at the aquarium. This means that in a week in which she worked for x hours, the total amount of money that she would earn is 9x

Therefore, the inequality that can be used to find how many hours she must work in a week to earn at least $135 would be

9x ≥ 135

x ≥ 135/9

x ≥ 15

Answer:

24 ways

Step-by-step explanation:

4x3x2

12x2

24

Answer:

Dawn has 32 pens.

Step-by-step explanation:

Given :

By following the relationships between the number of pens each person has, it is calculated that Dawn has 32 pens.

This is a multi-step problem involving proportions and addition. First, we determine Maurice's number of pens based on Suzy's: because Suzy has half the pens Maurice does, and Suzy has 2 pens, Maurice therefore has 4 pens. Then, to find out how many pens Alice has, we multiply Maurice's number of pens by 7 (Alice having 7 times Maurice's number of pens), hence Alice has 28 pens. As Paul has two-thirds the number of all the pens that Alice and Suzy have (28 + 2 = 30 pens), Paul has 20 pens. Finally, as Dawn has a dozen more pens than Paul, Dawn has 32 pens (20 + 12).

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Answer:

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