A large container has a maximum capacity of 64 ounces. The container is filled with 8 ounces less than it's maximum capacity. What is the percent of its capacity is the large container filled?

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: the cost of one box of envelope is $3.75.

the cost of one box of notebook paper is $2.85

Step-by-step explanation:

Let x represent the cost of one box of envelope.

Let y represent the cost of one box of notebook paper.

The cost of 3 boxes of envelopes and 4 boxes of notebook paper is $22.65. This means that

3x + 4y = 22.65 - - - - - - - - - - -1

Two boxes of envelopes and 6 boxes of notebook paper cost $24.60. This means that

2x + 6y = 24.6 - - - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 3, it becomes

6x + 8y = 45.3

6x + 18y = 73.8

Subtracting, it becomes

- 10y = - 28.5

y = - 28.5/-10

y = 2.85

Substituting y = 2.85 into equation 1, it becomes

3x + 4 × 2.85 = 22.65

3x + 11.4 = 22.65

3x = 22.65 - 11.4 = 11.25

x = 11.25/3 = 3.75

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 with step-by-step explanation:

We are given that the recurrence relation

[tex]f_n=5f_{n-4}+3f_{n-5}[/tex]

for n=5,6,7,..

Initial condition

[tex]f_0=0,f_1=1,f_2=1,f_3=2,f_4=3[/tex]

We have to show that Fibonacci numbers satisfies the recurrence relation.

The recurrence relation of Fibonacci numbers

[tex]f_n=f_{n-1}+f_{n-2}[/tex],[tex]f_0=0,f_1=1[/tex]

Apply this

[tex]f_n=(f_{n-2}+f_{n-3})+f_{n-2}=2f_{n-2}+f_{n-3}[/tex]

[tex]f_n=2(f_{n-3}+f_{n-4})+f_{n-3}=3f_{n-3}+2f_{n-4}[/tex]

[tex]f_n=3(f_{n-4}+f_{n-5})+2f_{n-4}=5f_{n-4}+3f_{n-5}[/tex]

Substitute n=2

[tex]f_2=f_1+f_0=1+0=1[/tex]

[tex]f_3=f_2+f_1=1+1=2[/tex]

[tex]f_4=f_3+f_2=2+1=3[/tex]

Hence, the Fibonacci numbers satisfied the given recurrence relation .

Now, we have to show that [tex]f_{5n}[/tex] is divisible by 5 for n=1,2,3,..

Now replace n by 5n

[tex]f_{5n}=5f_{5n-4}+3f_{5n-5}[/tex]

Apply induction

Substitute n=1

[tex]f_5=5f_1+3f_0=5+0=5[/tex]

It is true for n=1

Suppose it is true for n=k

[tex]f_{5k}=5f_{5k-4}+3f_{5k-5}[/tex] is divisible 5

Let [tex]f_{5k}=5q[/tex]

Now, we shall prove that for n=k+1 is true

[tex]f_{5k+5}=5f_{5k+5-4}+3f_{5k+5-5}=5f_{5k+1}+3f_{5k}=5f_{5k+1}+3(5q)[/tex]

[tex]f_{5k+5}=5(f_{5k+1}+3q)[/tex]

It is multiple of 5 .Therefore, it is divisible by 5.

It is true for n=k+1

Hence, the [tex]f_{5n}[/tex] is divisible by 5 for n=1,2,3,..

The Fibonacci sequence with its initial conditions does satisfy the given recurrence relation. With this, it can also be demonstrated that f5n is divisible by 5 for all positive integers n.

The problem involves a specific series in mathematics known as the Fibonacci series. We are given the Fibonacci numbers initial conditions: f0 = 0, f1 = 1, f2 = 1, f3 = 2, and f4 = 3. From these initial conditions, we can calculate the next values of the Fibonacci numbers.

Using the given Fibonacci numbers recurrence relation: fn = 5fn−4 + 3fn−5, we get:

So, fn = 5fn−4 + 3fn−5 is valid for n = 5, 6, 7, and presumably, for greater integers as well.

We then use this recurrence relation to show that f5n is divisible by 5, for n = 1, 2, 3, etc. This is immediately obvious for n = 1, because f5 = 5. But for n greater than 1, we can see that f5n = f(5*(n-1)+5) = 5f(5*(n-1)) + 3f(5*(n-1)-1), which will be divisible by 5 because 5 is a factor in the first term and the second term is also divisible by 5 according to our earlier results. This confirms that f5n is divisible by 5 for n = 1, 2, 3, and so on.

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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:

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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Applying the tangent ratio, the value of x in the given image is calculated as B. x = 15.92

The tangent ratio is a trigonometric ratio that represents the ratio of the length of the side opposite a given angle to the length of the side adjacent to that angle in a right-angled triangle. It is denoted as tan(θ), where θ is the angle. Mathematically, tan(θ) = opposite/adjacent.

Thus, using the tangent ratio, we have:

tan 53 = x/12

x = tan 53 * 12

x ≈ 15.92

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Answer: there are 11 birds and 5 cats

Step-by-step explanation:

Let x represent the number of birds in the pet store.

Let y represent the number of cats in the pet store.

A bird has one head and a cat also has one head. The store manager says that there are 16 animal heads in the store. It means that

x + y = 16

A bird has 2 feet and a cat has 4 feet. The store manager says that there are 42 animal feet in the store. It means that

2x + 4y = 42 - - - - - - - - - - - - 1

Substituting x = 16 - y into equation 1, it becomes

2(16 - y) + 4y = 42

32 - 2y + 4y = 42

- 2y + 4y = 42 - 32

2y = 10

y = 10/2 = 5

x = 16 - y = 16 - 5

x = 11

Answer:

Around 337 students                                                      

Step-by-step explanation:

We are given the following in the question:

Percentage of student who attended a 4 year programme in 2017 = 64.7%

Sample size, n = 500

We have to find he expected number of students who would attend 4 year programme.

Formula:

[tex]67.4\% \times n\\=67.4\% \times 500\\\\=\dfrac{67.4}{100}\times 500\\\\=337[/tex]

Thus, around 337 students are expected to attend 4 year program.

Answer:

The answer is C.

Step-by-step explanation:

810 (goal) - 510 (amount saved so far) = 300 (Balance left to achieve goal) divided by 5( months remaining to achieve goal) = $60 a month

The statement is Sheila needs to save $60 per month to achieve her goal, the option is C.

We are given that;

Monthly saving= $45

Bathroom remodel amount= $810

Now,

To find the answer, we need to calculate how much more Sheila needs to save and how many months she has left.

We can subtract the amount she has saved from the amount she needs to save:

810 - 510 = 300

So, Sheila needs to save $300 more. We can also subtract the number of months she has saved from the number of months in her plan:

18 - 13 = 5

So, Sheila has 5 months left. To find the monthly amount she needs to save, we can divide the remaining amount by the remaining months:

300 / 5 = 60

Therefore, by algebra the answer will be $60 per month.

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Answer:24, it depend upon the picture

Step-by-step explanation:

if the ac and bc are diagonals the area of rhombus equal to 24.because area of the rhombuss = pq/2where p and q are  the diagonals

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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The value of y =14.45689 when x=5 and y= 21.74137 when x= 9.

An estimate of the line that depicts the actual, but unidentified, linear relationship between the two variables is called a regression line. When the value of the explanatory variable is known, the regression line's equation is used to predict (or estimate) the value of the response variable.

Because it is the line that fits the points the best when drawn through them, the regression line is occasionally referred to as the "line of best fit." It is a line that minimises the difference between the projected and actual scores.

Given Data:

(−1,0),(0,9), (4,13), (8,20), (10,23).

Sum of X = 21

Sum of Y = 65

Mean X = 4.2

Mean Y = 13

Sum of squares (S[tex]S_x[/tex]) = 92.8

Sum of products (SP) = 169

Regression Equation = ŷ = bx + a

b = SP/S[tex]S_x[/tex] = 169/92.8 = 1.82112

a = [tex]M_y[/tex]- [tex]bM_x[/tex]= 13 - (1.82x4.2) = 5.35129

ŷ = 1.82112x + 5.35129

For x= 5

ŷ = 1.82112(5) + 5.35129

ŷ = 14.45689

and, when x= 9

ŷ = 1.82112(9) + 5.35129

ŷ = 21.74137

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Final answer:

The least-squares regression line equation is ŷ = -1.72 + 2.18x. For x = 5, ŷ is approximately 9.88. For x = 9, ŷ is approximately 18.62.

Explanation:

To find the least-squares regression line, we need to use the formula ŷ = b0 + b1x, where b0 is the y-intercept and b1 is the slope. Using the coordinates of the given points, we can calculate the values of b0 and b1. Substituting these values into the formula, we get ŷ = -1.72 + 2.18x. For x = 5, we can plug this value into the equation: ŷ = -1.72 + 2.18(5) = 9.88. Similarly, for x = 9, we can substitute x into the equation: ŷ = -1.72 + 2.18(9) = 18.62.

Answer:

0.726 is the probability that the project will be completed in 33 days or less.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30 days

Variance = 25 days

Standard Deviation,

[tex]\sigma = \sqrt{\text{Variance}} = \sqrt{25} = 5[/tex]

We assume that the distribution of path length is a bell shaped distribution that is a normal distribution.

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

P(completed in 33 days or less)

[tex]P( x \leq 33) = P( z \leq \displaystyle\frac{33 - 30}{5}) = P(z \leq 0.6)[/tex]

Calculation the value from standard normal z table, we have,  

[tex]P(x \leq 33) = 0.726 = 72.6\%[/tex]

0.726 is the probability that the project will be completed in 33 days or less.

Answer:

A) 61.68

Step-by-step explanation:

This is an exponential decay of 0.875. The way to know that is to get that is[tex]\frac{right}{left} \\[/tex] (Pick a random number and divide by the number to the left of it) From there, there is a 12 hour difference from 7 am to 7pm! Divide 306.25/0.875 and divide it by 0.875 by the answer of that each time 12 times. The exact answer is 61.68402914

Answer: option A is the correct answer.

Step-by-step explanation:

Looking at the table, the amount of medicine in her system is decreasing constantly with time. This constant amount by which this amount of medicine is decreasing is the decay constant.

Decay constant = 350/400 = 306.25/ 350 = 0.875

Let y represent the amount of medicine in her system after t hours.

Let a represent the initial amount of medicine in her system.

Let b represent the decay constant.

Let t represent the number of hours. Therefore, the function representing the exponential decay would be

y = 400b^t

When she wakes up at 7.00 am, the time from 5.00 pm would be 14 hours. Therefore

y = 400 × 0.875^14

y = 61.7 mg

Answer:

Option a)  Has an above average price-to-earning ratio                                            

Step-by-step explanation:

We are given the following in the question:

The price-to-earning ratio for firms in a given industry is distributed according to normal distribution.

For a particular firm the ratio x has a standard normal variable has a value,

z = 1

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

[tex]1 = \dfrac{x - \mu}{\sigma}\\\\\sigma = x - \mu\\x = \mu + \sigma[/tex]

Thus, the firm has an above average price-to-earning ratio as the ratio is one standard deviation above the mean.

Option a)  Has an above average price-to-earning ratio

If a firm in a given industry has a standard normal variable value of Z=1, it signifies that the firm has an above average price-to-earning ratio.

A student has asked about the interpretation of a standard normal variable value, Z, in the context of a firm's price-to-earning (P/E) ratio in a given industry. If a firm has a Z-value of 1, it means that the firm's P/E ratio is one standard deviation above the mean for the industry. Since the standard normal distribution has a mean of 0 and a standard deviation of 1, a Z-value of 1 corresponds to performance that is better than average. Therefore, a correct interpretation of this scenario is a. Has an above average price-to-earning ratio.

The price-to-earning ratio for firms in a given industry is distributed according to a normal distribution. A firm with a standard normal variable value of Z=1 would have an above average price-to-earning ratio.

This is because the standard normal distribution has a mean of 0 and a standard deviation of 1. A Z-score of 1 corresponds to a value that is one standard deviation above the mean. Since the mean represents the average price-to-earning ratio in the industry, a firm with a Z-score of 1 would have a ratio that is above average.

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

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

18 : 5

36 : 10

36/2 : 10/2

18 : 5

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.

An equation that represents the relationship between t and p is [tex]\rm Cost \ of \ each \ peaches = \dfrac{p \times d }{t}[/tex].

Given

Mary buys p peaches at the farmer's market for d dollars each.

She spends a total of t dollars on peaches.

The cost of each peach is;

[tex]\rm Cost \ of \ each \ peaches = \Total \ number \ of \ peaches \times Amount \ of \ each \ peaches\\\\Cost \ of \ each \ peaches= p \times d[/tex]

Therefore;

An equation that represents the relationship between t and p is; ​

[tex]\rm Cost \ of \ each \ peaches = \dfrac{Total \ number \ of \ peaches \times Amount \ of \ each \ peaches} {Total \ money\ spend \ on \ peaches}\\\\Cost \ of \ each \ peaches = \dfrac{p \times d }{t}[/tex]

Hence, An equation that represents the relationship between t and p is [tex]\rm Cost \ of \ each \ peaches = \dfrac{p \times d }{t}[/tex].

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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: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:

20

Step-by-step explanation:

nPr = n!/(n-r)!

5P2 = 5!/(5-2)!

= 5!/3!

= 5×4×3!/3!

= 5×4

= 20

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:

  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:

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:

$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