a rectangular block of mass m has dimensions as shown. in terms of m, a, b and c, find the rotational inertia of the block about an axis of rotation through one of the corners of the block which is perpendicular to the large faces. b. let m

The equation to determine the number of players is (x-y)/z and there are 11 players in total.

Given: Lacrosse players raised $1581.75 to attend a tournament. They allocated $968.50 for the bus rental and $55.75 for each player's meals.

Let,

x = amount raised to attend a tournament.

y = amount allocated for bus rental

z = amount for each player's meals

Number of players = (x-y)/z

                               = (1581.75-968.50)/55.75

                               = 613.25/55.75

                               = 11

Therefore, the equation to determine the number of players is (x-y)/z and there are 11 players in total.

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In the scale drawing of the 2 pentagons the value of x is 3

To find the value of x in the pentagon, the scale factor is first determined

The scale factor is solved for as follows

AB * r = PQ

in the figure AB = 5 and PQ =2.5

5r = 2.5

r = 2.5 / 5

r = 0.5

Using the scale factor r = 0.5

6 * r = x

6 * 0.5 = x

3 = x

x = 3

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The likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are only two outcomes when you flip a coin: either it comes up heads or tails.

Here,

If the first die is red and the second one is green, then the sample space S is the following:

S=

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2, 1), (2,2), (2,3), (2,4), (2,5), (2,6), (3, 1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5, 1), (5,2), (5,3), (5,4), (5,5), (5,6), (6, 1), (6, 2), (6,3), (6,4), (6,5), (6,6)

Hence n(S)=36.

Let's list the losing combinations:

E={(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (2, 1),

(2, 3), (2, 5), (4, 1), (4, 3), (4, 5), (6, 1), (6, 3), (6,5)}

n(E)=15

There are 36 total possiblities.

Out of which, winning probability is 21.

=21/36

=7/12

Given that the winning combination is 21 and the total combination is 36, the chance of rolling a winning combination is 7/12.

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15.87 % percent of batteries have lifetimes more than 561 days.

Given:

battery lifetime is normally distributed for large samples. the mean lifetime is 500 days and the standard deviation is 61 days.

μ = 500

σ = 61

we know that

z = X - μ / σ

z score :

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

Given X = 561 days

substitute

z = 561 - 500 / 61

= 61 / 61

z = 1

At z = 1 p value is 0.8413

1 - 0.8413 = 0.1587

= 0.1587 * 100 %

= 15.87 %

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The given study is an example of longitudinal developmental design.

Longitudinal developmental research design  analyzes progress by observing or measuring a group of people over time. As a consequence, it assesses changes in behavior according  to age over time by examining one group of participants of about the same age.

The same people's behavior is examined over time using longitudinal research designs. For instance, using our example of examining the relationship between intellect and aging, a scientist would carry out a longitudinal study to see whether 20-year-olds lose IQ as they get older.

Hence we get the required answer.

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The revised values of the mean and standard deviation are respectively; 154 cm and 5 cm

Let us assume that the number of Patients is denoted as P. We are given;

Mean = 156 cm

We know that mean here is gotten from the formula;

Mean = Total height/number of patients

Thus;

Total Height = 156P  cm

We are told that each height was measured 2 cm more. Thus;

Total height reduction = 2P cm

Thus;

Actual Total Height = 156P - 2P = 154P cm

Mean = 154P/P  = 154  cm

Therefore, as each reading and mean both have shifted by 2 then Standard deviation will remain same as 5cm

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Part a: All the students in a row = 36!.

Part b: 7 of the students in a row; 36 x 35 x 34 x 33 x 32 x 31 x 30.

Part c: women on the left = 20! x 16!

For the stated question-

The class contains-

Part a: all the students in a row.

Number of ways = 36!

Part b: 7 of the students in a row.

Number of ways = 36 x 35 x 34 x 33 x 32 x 31 x 30

Part c: All the students in a row if all the women are on the left and all the men are on the right.

women on the left = 20! x 16!

Thus, the number of ways in which all the students in a row if all the women are on the left and all the men are on the right is; 20! x 16!.

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Answer:

Part A: The LSRL is y^ = 7.76 + 0.6x.

Part B: y^ = 7.76 + 0.6(19.5) = 19.46

y^ = 19.46%

Part C: 22.7 - 19.46 = 3.24. The residual is 3.24. This means that the value was underpredicted. 

Step-by-step explanation:

The probability that headway is within 1 standard deviation of the mean value is 0.890.

What is mean value?

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.

The mean of a discrete probability distribution of a random variable X is equal to the sum over all possible values weighted by the likelihood of each value. To calculate the mean, one must multiply each potential value of X by its probability P(x), then add all of these products.

Given mean value is P( 0.995 ≤ x ≤ 1.445) = F(1.445) - F(0.995).

The cdf for the distribution is

[tex]F(x)=\left \{ {{1 -\frac{1}{x^6} ,x > 1} \atop {0,x\le 1}} \right.[/tex]

Now calculate the value of F(1.445) and F(0.995).

F(1.445) = 1 - (1/(1.445)⁶)

F(0.995) = 0

Now putting the value of F(1.445) and F(0.995) in  P( 0.995 ≤ x ≤ 1.445) = F(1.445) - F(0.995):

P( 0.995 ≤ x ≤ 1.445)

=1 - (1/(1.445)⁶)  - 0

=0.890

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Answer:

y = x + 5.25

Step-by-step explanation:

y - 8.25 = (x - 3)

y - 8.25 = x - 3

y = x + 5.25

Could you please give me brainliest for this? Thank you!

Answer:

y = x + 5.25

Step-by-step explanation:

y - 8.25 = x - 3    Add 8.25 to both sides of the equation

y = x + 5.25

According to the empirical law of statistics, 99.7% of the males are between 54.5" and 81.5" tall.

The 68-95-99.7 rule, also known as the empirical rule, indicates where most of the values in a normal distribution are distributed: The majority of values—about 68%—fall within the range of the mean. The average value is within two standard deviations for about 95% of the data. Almost all values, 99.7% of them, fall within a 3 standard deviation range.

Here,

mean=68 inch

standard deviation=4.5 inch

The first part of the empirical rule states that 68% of the data values will fall within 1 standard deviation of the mean. To calculate "within 1 standard deviation," you need to subtract 1 standard deviation from the mean, then add 1 standard deviation to the mean. That will give you the range for 68% of the data values.

68−4.5=63.5

68+4.5=72.5

The range of numbers is 63.5 to 72.5

The second part of the empirical rule states that 95% of the data values will fall within 2 standard deviations of the mean. To calculate "within 2 standard deviations," you need to subtract 2 standard deviations from the mean, then add 2 standard deviations to the mean. That will give you the range for 95% of the data values.

68−2⋅4.5=59

68+2⋅4.5=77

The range of numbers is 59 to 77

Finally, the last part of the empirical rule states that 99.7% of the data values will fall within 3 standard deviations of the mean. To calculate "within 3 standard deviations," you need to subtract 3 standard deviations from the mean, then add 3 standard deviations to the mean. That will give you the range for 99.7% of the data values.

68−3⋅4.5=54.5

68+3⋅4.5=81.5

The range of numbers is 54.5 to 81.5

99.7% of the boys are between 54. 5 and 81. 5 inches tall using the empirical rule of statistics.

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The value of u that completes the ordered pairs is -9

From the question, the points are given as

(9, u) and (10, -1)

Slope = 8

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (9, u) and (10, -1)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (9, u) and (10, -1)

Substitute the known values in the above equation

So, we have the following equation

8 = (u + 1)/(9 - 10)

Evaluate

u + 1 = -8

So, we have

u = -9

Hence, the value of u is -9

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Answers:

Ratios equivalent to 1/2 are...

Ratios equivalent to 3/9 are...

Ratios equivalent to 5/7 are...

===============================================

Explanation:

Let's see if 2/6 is equivalent to 1/2. For now, let's assume they are equal fractions. If so, then,

2/6 = 1/2

2*2 = 6*1 ... cross multiplying

4 = 6

The last equation is of course false, which then causes a domino effect to make the first equation false as well. This means 2/6 is not equivalent to 1/2.

You can use a calculator to find that

Which is another way to see how the fractions aren't the same.

----------------

Let's check to see if 2/6 is equivalent to 3/9.

2/6 = 3/9

2*9 = 6*3 ... cross multiplying

18 = 18

We get the same thing on both sides, which means the third equation is true. By extension, the first equation is true as well. We have shown that 2/6 and 3/9 are equivalent.

Take note how both of those fractions reduce to 1/3, which is another way to see how they are equivalent.

Yet another way is to use a calculator to find that

Both approximate decimal values involve '3's going on forever.

Apply any of the methods discussed to check the other values, so you can properly sort each ratio mentioned. Let me know if you have any questions.

Answer:

Step-by-step explanation:

rawr u fel me

Answer:

B. 100

Step-by-step explanation:

The lower extreme is the number in line with the left most dot.

Hence, he sum of a number and [tex]18.4[/tex] is at least [tex]-3.8[/tex] as an inequality is [tex](b+18.4)\geq -3.8[/tex].

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

The sum of a number and [tex]18.4[/tex] is at least [tex]-3.8[/tex] as an inequality.

Let [tex]b[/tex] be the number

As it is mentioned that the sum of [tex]x[/tex] and [tex]18.4[/tex] is at least [tex]-3.8[/tex].

Hence, the sum is greater or equal to [tex]-3.8[/tex]

i.e., [tex](b+18.4)\geq -3.8[/tex]

Hence, he sum of a number and [tex]18.4[/tex] is at least [tex]-3.8[/tex] as an inequality is [tex](b+18.4)\geq -3.8[/tex].

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Angles 1 and 2 are neighboring, hence the fourth choice is accurate. Angles 1 and 2 are adjacent.

The term "Angle" refers to the separation between line segments or rays that converge at a single point.

The following may be said about angles 1 & 2:

In a line that proceeds from left to right, there is a ray in the middle that forms a right angle, a second ray between the two right angles, and one light that labels both the left angle and the right angle.

We can draw just as in the image.

Angles 1 and 2 are neighboring because they share a vertex, as seen in the image.

Angle 2 equals 90 degrees

Angle 1 equals 45 degrees

Angles 1 and 2 are adjacent, so option 4 is correct because it describes the relationship between them.

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The percent markup price is equivalent to 42.86%.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a department store buys 200 shirts at a cost of ​$1400 and sells them at a selling price of ​$10 each

Cost price of 200 shirts = C.P. = $1400

Selling price of 200 shirts = S.P = $(10 x 200) = $2000

Percentage markup = [(2000 - 1400)/1400] x 100 = (600/1400) x 100 = 600/14 = 42.86%.

Therefore, the percent markup price is equivalent to 42.86%.

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Answer: the answer would round up to 43

Step-by-step explanation:

The expected value and the standard deviation of the points per game for the player is -6.5 and 65.43 respectively.

Given:

In a certain computer card game, the player is awarded 5 points for each card that is moved to a correct position. The player is penalized 10 points for each minute the game is played. Let the random variable X represent the number of cards moved to a correct position, and let the random variable Y represent the number of minutes the game is played.

From the given table:

E ( X ) = 9.5 * 5 points

= 47.5

E ( Y ) = 5.4 * - 10

= -54

E ( X + Y ) = 47.5 + ( -54 )

= 47.5 - 54

= -6.5

SD ( X ) = 12.5 * 5

= 64.5

SD ( Y ) = - 11

SD ( X + Y ) = [tex]\sqrt{64.5^2 + (-11)^2}[/tex]

= 65.43

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Full question:

Is in the image uploaded.

Probability - The answer to the problem is P(Y = 4) = 3/32

What is Probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Solution:

Mean = 120

Standard Deviation = 5

Z = (X - Mean)/Standard Deviation

Z = 1/2

(i) P(Y = 4) = 6/4 * (1/2)^2 * (1-1/2)^6-4

P(Y = 4) = 3/2 * 1/4 * 1/4

P(Y = 4) = 3/32

(ii)P(X > 500) = 1 - P(X ≤ 500)
= 1 - Φ(500; 480, 10)
= 1 - 0.9772
= 0.0228

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Answer:

6

Step-by-step explanation:

8 * (1.0 - .25) = 6

Answer: 6

Step-by-step explanation: 8 - 4 is equivalent to 8 - 50%, cut 4 in half which gives 2, 2 is 25% of 8, so 8 - 2 = 6

Answer:

-2, -6

-1, -3

0,0

1,3

2,6

Step-by-step explanation:

nsd fbvdvjben ebtv

Step-by-step explanation:

when x is -2 y is y=3x

y=3×-2

y=-6 do that for all

Answer:

it is linear

Step-by-step explanation:

if you add x on both sides, you can get rid of the -x on the left side, and you are left with a linear equation in slope intercept form

y=7/3x

26% of 78

= 26*(1/100)*78

=(26/100)*78

=0.26*78 = 20.28

so, the required answer is 20.28.

what is percentage?

answer: The quantity of something represented as if it were a portion of a sum total of 100; a portion or share of a whole.

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Answer:

(-3.4,2.7)

Step-by-step explanation:

The reason it's asking for an estimate, is because the intersection point is not on exact integer coordinates.

Start with the x-value of the intersection point. All options contain either -3.4 or -3.7. The x-value of the intersection point is closer to -3 than -4, so -3.4 is a better estimate.

Do the same with the y-value. Since the intersection point is closer to 3 than 2, 2.7 is the best estimate here.

Answer:

Last choice:  (-3.4, 2.7)

Step-by-step explanation:

Well, you could actually solve the two line equations and arrive at the answer but that is not the intent of the question.

The solution of the two line equations is the point at which the two lines intersect

At this point the x value is closer to -3 than to -4. So the x value from the choices would be -3.4 rather than -3.7

We can eliminate 1st and 3rd choices

The y value is closer to 3 than it is to 2 so the y-value estimate would be 2.7

Correct choice: (-3.4, 2.7)

I have marked the solution point with an X in the attached image

a. test statistic =  1.35

p-value =  0.198439

b. Support the null hypothesis.

So you have the hypothesis:

H₀:μ=4

H₁:μ≠4

with the sample information you calculate the statistic using the t-distribution with 14 (n-1) degrees of freedom:

t=x[bar] - μ ⇒ t=  4.8 - 4    =  0.8   = 1.347≅ 1.35

   s/√n               2.3/√15     0.59

The p-value is defined as the probability corresponding to the calculated statistic (or of obtaining a value as extreme as the value of the statistic) if possible under the null hypothesis.

p-value: 0.198439

b.

Since the calculated p-value is greater than the significance level, you don't reject the null hypothesis.

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The room is 10 ft by 12 ft

The area of the room = 120 sq ft

1 yard= 3 feet

1 square yard=9 sq feet

The area of the room = 120 sq ft or 120/9=13.33 sq yards

Answer: 13.33 sq yards

Answer:

Step-by-step explanation:

false true true false

Answer:

false true true and false

Step-by-step explanation:

a) The expected value for distribution A is equal to 1 and expected value for distribution B is equal to 3. b) The value of standard deviation of two distributions is same. c)  A is less than the expected value for the distribution B.

The calculation for expected value of distribution of A is given as,

E(X) = ∑[tex]^{n}[/tex][tex]_{i=1}[/tex]= [tex]X_{i}[/tex]. P (X=x)

       =0⋅ (0.50 )+1⋅(0.20)+....+4⋅0.05=1

E(X) = ∑i=1nXi.P(X=x)=0⋅(0.50)+1⋅(0.20)+....+4⋅(0.05)=1

The calculation for expected value of distribution of B is given as,

E(X)=n∑i=1 Xi.P(X=x)

      =0⋅(0.05)+1⋅(0.1)+....+4⋅(0.50)=3

E(X)=∑i=1nXi.P(X=x)=0⋅(0.05)+1⋅(0.10)+....+4⋅(0.50)

     =3

Therefore, the expected value for distribution A is equal to 1 and expected value for distribution B is equal to 3.

(b) The formula for standard deviation is given as,

σ=√E(X2)−E(X))2

The calculation for the E(X2) of distribution A is given as,

E(X2)=n∑i=1 X2i⋅P(X=x)

        =02⋅(0.50)+12⋅(0.20)2+.....+42⋅(0.05)=2.5

The calculation for the E(X2) of distribution B is given as,

E(X2)=n∑i=1 X2i⋅P(X=x)

        =02⋅ 0.05)+12⋅(0.10)+......+42⋅(0.50)

        =10.5

E(X2)=∑i=1nXi2⋅P(X=x)=02⋅(0.05)+12⋅(0.10)2+......+42⋅(0.50)

       =10.5

The value of standard deviation for the distribution A is given as,

σA=√2.5−12

   =1.225

The value of standard deviation for the distribution B is given as,

σB=√10.5−32

   = 1.225

Therefore, the value of standard deviation of two distributions is same.

(c) The expected value for distribution A is less than the expected value for the distribution B. The standard deviation is same for both distributions; the spread between both the distributions is same. Therefore, the distribution B is better than distribution A.

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The exponential equation that models the population of the bacteria is:

y = 5*(7)^x

The general exponential equation is of the form:

y = A*(b)^x

Where A is the initial value, b is the base, and x is the variable.

Initially, Zach counted 5 bacteria, then:

A = 5

And we know that after one hour, Zach saw 35 bacteria, then we can write the equation:

35 = 5*(b)^1

35 = 5*b

35/5  =b

7 = b

Then the exponential equation is:

y = 5*(7)^x

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