I need help with this question plz can someone help me ty a lot

I Need Help With This Question Plz Can Someone Help Me Ty A Lot

Answers

Answer 1

Answer:

21.9 mm^2

Step-by-step explanation:

A triangular prism has 4 sides, 3 on the top and 1 on the bottom.

To calculate the area of the top 3, we can use the formula area = base * height/2. Each triangle of the top 3 has a base of 3 and height of 4, so the total surface area for the top 3 triangles is 3 * (3*4/2) = 18 mm^2

For the bottom triangle, it has a base of 3 and height of 2.6, so its area is (3*2.6/2) = 3.9 mm^2. Add these two up to get 21.9 mm^2 as our answer


Related Questions

The goals against average (a) for a professional hockey goalie is determined using the formula a = 60 a equals 60 left-parenthesis startfraction g over t endfraction right-parenthesis.. in the formula, g represents the number of goals scored against the goalie and t represents the time played, in minutes. which is an equivalent equation solved for g?

Answers

The equivalent equation solved for g = At / 60 . A relation on S that is transitive, symmetric, and reflexive is known as an equivalence relation on a set S.

what is equivalent equation ?

If two algebraic expressions are equivalent, then when we enter the same value(s) for the variable, the two expressions have the same value (s). A relation on S that is transitive, symmetric, and reflexive is known as an equivalence relation on a set S. equivalent in power, quantity, or worth. Equal in volume or area but not superposable. a square that is a triangle's opposite.

given

The equation A = 60 (q/t) is used to calculate the goals against average (A) for a professional hockey goalie. The number of goals scored against the goaltender is denoted by the symbol g, while the amount of time played, in minutes, is denoted by the symbol t.

The formula, A = 60 (q/t), must be solved in terms of g.

At = 60g after multiplying both sides by t.

Divide both sides by 60, so that At = 60g/60 and At / 60 = g.

As a result, choice 1 is right.

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Select the correct answer

Select the correct answer

Answers

Answer:

d

Step-by-step explanation:

it's just asking how far away from 0 it is

Answer:

pretty sure it's D. brainliest? help uh bro out

Step-by-step explanation:

4+9 because i need to waste my points

Answers

Answer:

ummmmm i think apple?

Step-by-step explanation:

because if 4 equals green and you put the square root of branch in there you will get branch×apple tree+water=apple my bad its green apple

i did it wrong i just redid the question and found the right answer. so if you put branch×square root of 9 apples+apple tree=9 apples right? well yes but if you add branch+square root of 4 more apples you will get in total 13 apples.

Miriam is setting up a fishing game in a kiddie pool for her niece's birthday party. The pool has a circular base with a diameter of 4 feet and a height of 0.75 feet. She wants to fill the pool halfway so there is plenty of space left for the plastic fish. Approximately how many cubic feet of water does she need? 9.4 1.5 2.4 4.7

Miriam is setting up a fishing game in a kiddie pool for her niece's birthday party. The pool has a circular

Answers

Answer:

4.7 feet³ of water

Step-by-step explanation:

Diameter of 4 feet

Radius = 2 feet

Height = 0.75 feet

Formula for Volume = 2·\(\pi\)·radius·height

But she only wants to fill half, so divide by 2, cancels the 2 in the formula for volume, giving us: \(\pi\)·radius·height

\(\pi\)·2·0.75 = 4.71 feet³

Write the slope-intercept form of the equation of the line given the slope and the y-intercept.
8
Slope = -
y-intercept = 4
3

Write the slope-intercept form of the equation of the line given the slope and the y-intercept.8Slope

Answers

Answer:

The answer is y=-8/3x + 4

Step-by-step explanation:

There is this format called linear function where it looks like this

y=mx + b

where m is the slope and b is the y-intercept

pls mark me as brainliest

URGENT! Pleasee help me for brainliest :)

A line of best fit was drawn for 6 data points. What is the maximum number of these data points that may not actually be on the line?

A. 6
B. 3
C.5
D. 4

URGENT! Pleasee help me for brainliest :) A line of best fit was drawn for 6 data points. What is the

Answers

The maximum number of points that may not be on the line is given as follows:

A. 6.

How to find the equation of linear regression?

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.

When we insert the points on a calculator, we get a linear function that is obtained using the mean and sum of squares of coefficients. This means that the line has on average the least distance to the points, but it can happen that none of the points is exactly on the line.

Hence option A is the correct option in the context of this problem.

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Write the linear equation that gives the rule for this table.

x f(x)
2 27
3 28
4 29
5 30


Write your answer as an equation with f(x) first, followed by an equals sign.

Answers

Answer:

The linear equation that gives the rule for this table will be:

y=x+25

Step-by-step explanation:

Taking two points from the table

(2, 27)(3, 28)

Finding the slope between two points

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(2,\:27\right),\:\left(x_2,\:y_2\right)=\left(3,\:28\right)\)

\(m=\frac{28-27}{3-2}\)

\(m=1\)

We know the slope-intercept form of linear equation is

\(y=mx+b\)

where m is the slope and b is the y-intercept

substituting the point (2, 27) and m=1 in the slope-intercept form to determine the y-intercept 'b'

\(y=mx+b\)

27 = 1(2)+b

27-2 = b

b = 25

Now, substituting m=1 and b=25 in the slope-intercept form to determine the linear equation

y=mx+b

y=1(x)+25

y=x+25

Thus, the linear equation that gives the rule for this table will be:

y=x+25

The linear equation that gives the rule of the table is f(x) = x + 25

The linear equation can be represented in a slope intercept form as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

Using the table let get 2 points

(2, 27)(3, 28)

let find the slope

m = 28 - 27 / 3 -2 = 1

let's find b using (2, 27)

27 = 2 + b

b = 25

Therefore,

y = x + 25

f(x) = x + 25

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Question 10
PARKS The developer of the city park shown plans to put a decorative fence around the park. The budget allows for at least 399 feet of fencing but no more than 798 feet to be used.







Which could be the length of the shortest side of the park?

Multiple choice question.
cross out

A)
90 feet
cross out

B)
175 feet
cross out

C)
227 feet
cross out

D)
250 feet

Question 10PARKS The developer of the city park shown plans to put a decorative fence around the park.

Answers

The shortest side of the park could be 227 feet, so the answer option is (C).

To solve the problem, we can use the fact that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So, for this triangle, we have

x + (x+30) > (x+90) (since the sum of the two shorter sides must be greater than the hypotenuse)

2x + 30 > x + 90

x > 60

Therefore, the shortest side must be greater than 60 feet.

This means that the value of x must be greater than 60 in order for the triangle inequality to hold. Now, let's check each answer choice:

90 feet This violates the triangle inequality since 90 > 2(60 + 30).

175 feet This violates the budget constraint since the maximum allowed fencing is 2(175 + 30) = 410 feet.

227 feet This satisfies both the triangle inequality and the budget constraint, but we can still check the next option to be sure.

250 feet This violates the triangle inequality since 250 > 2(60 + 30).

Therefore, the length of the shortest side of the park could be 227 feet, so the answer is (C).

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Select the perfect square trinomial from among the options below!
you will be marked as brainliest

Select the perfect square trinomial from among the options below!you will be marked as brainliest

Answers

A ) ( x - 3 )( x + 1 ) [ not perfect ]

B ) ( x + 5 - √5 )( x + 5 + √5 ) [ n p ]

C ) ( x + 2 + 2√2 )( x + 2 - 2√2 ) [n p ]

D ) ( x - 6 )( x - 6 ) = ( x - 6 )^2 [ perfect ]

Thus the correct answer is option D .

Answer ;(D) 2- 12+36

Choose the correct choice for the product Tu:
f
[1]
o
O Undefined
DONE
The resulting matrix creates an image that is a
reflection across the
DONE

Choose the correct choice for the product Tu:f[1]oO UndefinedDONEThe resulting matrix creates an image

Answers

Answer:

[-1,4] and line y = -x

Step-by-step explanation:

Answer:

B. \(\left[\begin{array}{ccc}1\\-4\end{array}\right]\)

B. line y = -x

Step-by-step explanation:

edge :)

have a lovely day <3

Suppose that in a certain​ community, the probability of a randomly selected individual having red hair is 0.08 and the probability of a randomly selected individual being​ left-handed is 0.15. What additional information would be needed to find the probability of randomly selecting an individual in this community who has red hair or is​ left-handed?

Answers

The probability of randomly selecting an individual in this community who has red hair or is​ left-handed is 0.23

The probability of an event refers to the likelihood of the event occurring, expressed as a number between 0 and 1.

In other words, the probability of the union of two events can be expressed as follows:

P(A or B) = P(A) + P(B) - P(A and B)

Where A represents the event of having red hair, B represents the event of being left-handed, and P(A and B) represents the probability of the intersection of the two events. In this case, P(A) = 0.08 and P(B) = 0.15.

Therefore, to find the probability of a randomly selected individual in this community who has red hair or is left-handed, we would need to know the probability of the intersection of the two events, P(A and B).

This would allow us to subtract it from the sum of the individual probabilities, P(A) + P(B), to find the total probability of having red hair or being left-handed.

=> P(A) + P(B) = 0.08 + 0.15 = 0.23

In conclusion, to find the probability of having red hair or being left-handed in this community, we would need to know the probability of the intersection of the two events, P(A and B).

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Numerical information in a variety of media

Numerical information in a variety of media

Answers

Answer:

Step-by-step explanation:

148 000 000 km + 800 000 km = 148 800 000 km

Please help meeeeeeeeeee

Please help meeeeeeeeeee

Answers

Answer:

Okay

Step-by-step explanation:

want me to come over to your place

2 Points
Find the point below that lies on the line y-6=3[X-5).

Answers

Answer:

D. (5,6)

Step-by-step explanation:

I plotted the points on the line on my calculator and the only point that does lie on the line is (5,6)

2 PointsFind the point below that lies on the line y-6=3[X-5).

Katie bought 0.78 pounds of peanuts and 0.07 pounds of raisins. How many pounds of snacks did she buy in all?

Answers

Answer:

0.85

Step-by-step explanation:

you add them... duh

1) There are 8 college basketball teams in a certain
Sub-Division
How many ways are there to choose 6 teams for the playoffs?

Answers

There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

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Helen got a 7% reduction in the price of a pair jeans that are normally $32. What is the approximate percent in the price?

Answers

A percentage is a way to describe a part of a whole. The approximate percent decrease in the price is 21.87%, thus, the correct option is B.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the reduction in the price is $7, while the original cost is $32. Therefore, the approximate percent decrease in the price is,

Percentage decrease = 7/32  × 100%

                                     = 21.87%

Hence, the approximate percent decrease in the price is 21.87%, thus, the correct option is B.

The correct question is:

Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the price?

The percent decrease is approximately 15%.

The percent decrease is approximately 21%.

The percent decrease is approximately 43%.

The percent decrease is approximately 78%

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In a four bar chain ABCD, AD is fixed and is 150 mm long. The crank AB is 40 mm long and rotates at 120 r.p.m. clockwise, while the link CD = 80 mm oscillates about D. BC and AD are of equal length. Find the angular velocity of link CD when angle BAD = 60°.

Answers

The angular velocity of link CD when angle BAD = 60° is 21.16 rad/s.

The given values are:

AD = 150 mm

AB = 40 mm

CD = 80 mm

The crank AB rotates at 120 r.p.m. clockwise.

BC and AD are of equal length.

To find:

The angular velocity of link CD when angle BAD = 60°.

From the given data, we have to first find the value of angle BCD.

Angle BCD can be calculated as follows:

AB = 40 mm

BC = AD

= 150 mm

In ΔABC,

By using Cosine rule;

AC² = AB² + BC² - 2 × AB × BC × Cos ∠ABC∴ AC² = (40)² + (150)² - 2 × 40 × 150 × Cos 180°

∴ AC = 160.6 mm

In ΔBCD,

By using Cosine rule;

BD² = BC² + CD² - 2 × BC × CD × Cos ∠BCD

∴ BD² = (150)² + (80)² - 2 × 150 × 80 × Cos ∠BCD

In ΔABD,By using Cosine rule;

BD² = AB² + AD² - 2 × AB × AD × Cos ∠BAD

∴ BD² = (40)² + (150)² - 2 × 40 × 150 × Cos 60°

∴ BD = 184.06 mm

In ΔABD,By using Sine rule;

AB / Sin ∠BAD = BD / Sin ∠ABD

∴ Sin ∠ABD = BD × Sin ∠BAD / AB

∴ ∠ABD = Sin⁻¹ [BD × Sin ∠BAD / AB]

∴ ∠ABD = Sin⁻¹ [184.06 × Sin 60° / 40]

∴ ∠ABD = 87.2°∠ACD = ∠ABD - ∠ACB

∴ ∠ACD = 87.2° - 180°

∴ ∠ACD = - 92.8°∠BCD

= 180° - ∠ACD

∴ ∠BCD = 180° - (- 92.8°)

∴ ∠BCD = 272.8°

As we know that for four-bar mechanism, we have a formula for finding the angular velocity of link CD.

ωCD / Sin ∠BCD = ωAB / Sin ∠BADωCD / Sin 272.8°

= ωAB / Sin 60°

Substituting the values, ωCD / Sin 272.8° = ωAB / Sin 60°ωCD

= ωAB × Sin 272.8° / Sin 60°

But, ωAB = 2 × π × N / 60

= 2 × π × 120 / 60

= 4 × π rad/s

∴ ωCD = 4 × π × Sin 272.8° / Sin 60°ωCD

= 21.16 rad/s

Therefore, the angular velocity of link CD when angle BAD = 60° is 21.16 rad/s.

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Mrs Mabaspacked , prudence's mom packed a cooler box bag for the day of the painting . Two six pack cans fit exactly on top of each other in the cooler bag. A can has a diameter of 6 cm and a height of 8,84 cm 0:41 EZ07/67/90 dy the information given in the information above and answer the questions that follow. 2.1 2.2 2.3 2.4 Calculate the volume in ml of one can of cold drink, rounded to the nearest whole number. Determine the height of the cooler bag, rounded to the nearest whole number. Determine the volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm. Each can have a label on them as shown by the image below Piesse Circumference of the can NEW Diet, Soda 0 Calories! Calculate the length of the lable. CALORIES PER SERVING Nutrition Fac Hight of the can (3) (2) (3) (2) 27 [10] ​

Answers

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

How to calculate the volume of a cylindrical can?

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

V represents the volume of a cylinder.h represents the height or length of a cylinder.r represents the radius of a cylinder.

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

 Mrs Mabaspacked , prudence's mom packed a cooler box bag for the day of the painting . Two six pack

Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
x2 + 1
(x − 5)(x − 4)2dx
integral.gif

Answers

The final expression of integral ∫(x²+1)/[(x-5)(x-4)²] dx  is

= -1/9 ln|x-4| - 1/9(x-4)⁻¹ + C

How to determined the integral of a rational function using integration techniques?

To evaluate the integral ∫(x²+1)/[(x-5)(x-4)²] dx, we can use partial fraction decomposition and then integrate each term separately:

First, we decompose the rational function into partial fractions:

(x²+1)/[(x-5)(x-4)²] = A/(x-5) + B/(x-4) + C/(x-4)²

Multiplying both sides by the denominator and simplifying, we get:

x² + 1 = A(x-4)²+ B(x-5)(x-4) + C(x-5)

Expanding the right-hand side and equating coefficients, we get:

A = 0B = -1/9C = 1/9

Therefore, the partial fraction decomposition of the rational function is:

(x²+1)/[(x-5)(x-4)²] = -1/9/(x-4) + 1/9/(x-4)²

The integral now becomes:

∫(x²+1)/[(x-5)(x-4)²] dx = -1/9∫1/(x-4) dx + 1/9∫1/(x-4)² dx

Integrating each term separately, we get:

∫1/(x-4) dx = ln|x-4| + C1∫1/(x-4)² dx = -1/(x-4) + C2

where C1 and C2 are constants of integration.

Substituting these values back into the original integral, we get:

∫(x²+1)/[(x-5)(x-4)²] dx = -1/9ln|x-4| + 1/9(-1/(x-4)) + C

Simplifying further, we get:

∫(x²+1)/[(x-5)(x-4)²] dx = -1/9 ln|x-4| - 1/9(x-4)⁻¹ + C

where C is a constant of integration.

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A linear function has the same y-intercept as x + 4y = 20 and its graph contains the
point (7, 7). Find the y-intercept of the linear function.
y-intercept: (0,___)

Answers

Answer:

(0,5)

Step-by-step explanation:

x + 4y = 20

4y = -x + 20

y = -1/4x + 5

The y - intercept of the line is 5

(0,5)

-Chetan K

the student council to break even?
#. Justin and his sister Jayme are candying apples for their class parties. Justin has candied 15 apples
and is finishing them at a rate of 4 apples per hour Jayme has 10 apples candied and is finishing them
at a rate of 5 apples per hour. Once the siblings get to the point where they have candied the same
amount of apples they will stop for the day. How long will that take? How many candied apples will
they have altogether?

Answers

Answer:

Step-by-step explanation:

5 hours, 70 apples all together

Divide. Give the quotient and remainder 211 / 4

Answers

Answer:

52.75

i hope it helps

Which number line correctly shows 0.8 + 0.3?

Which number line correctly shows 0.8 + 0.3?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. Is the correct way to show the problem.

Step-by-step explanation:

A: The number line is useless. It shows working backwards from the answer. You want to show how the answer was obtained. + goes right - goes left. Not A. This actually shows 1.1 - 0.8 - 0.3

C: C shows 0.8 - 0.3. Remember + goes right - goes left.

D: D is wrong. It shows 0.3 to 1.1 and then 0.3 back to 0.8. You are not doing that.

The lines below are parallel. If the slope of the green line is -1/2,what is theslope of the red line?

The lines below are parallel. If the slope of the green line is -1/2,what is theslope of the red line?

Answers

When two lines are parallel they mean that both slopes are the same, this means that if the green line has a slope of -1/2, the slope of the red line is also -1/2.

Given: AB = BC, AC is ∠ bisector of ∠BAD Prove: BC ∥ AD

Given: AB = BC, AC is bisector of BAD Prove: BC AD

Answers

Answer:

<BAC ≅ BCA by rule Base angle theorem

Step-by-step explanation:

What we know:

BAC = DAC

BC = BA

ΔBCA is an isosceles so ∠BCA  =  ∠DCA and ∠BAC

and we found that out by base angle theorem since

Base angle Theorem  = Two base angles of a icosceles triangle are equal.

And since ΔBCA is an isoceles then ∠A and ∠C will be equal. And so we can prove BC is a parallel to AD

The proof that BC ∥ AD from the given statements is that;

BC ∥ AD because of the definition of alternate angles

We are given;

AB = BC  

 AC is ∠ bisector of ∠BAD

Since AC is the angle bisector of ∠BAD, it means that;

∠BAC  = ∠DAC (definition of a bisected angle)

Now, since AB = BC, it means that ΔBCA is an isosceles triangle.

Thus; ∠BCA = ∠BAC  (base angle theorem)

Now, since ∠BCA = ∠BAC, and ∠BAC  = ∠DAC, we can say that;

∠BCA = ∠DAC

This means  ∠BCA and ∠DAC are alternate angles. Thus, we can say that AC is the transversal line carrying the two equal angles.

Thus, we can say that BC is parallel to AD as they are the parallel lines cut by the transversal line AC.

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work out the volume of a hemisphere. please help i’ll give u brainliest if u help

work out the volume of a hemisphere. please help ill give u brainliest if u help

Answers

Answer:

V = 1072.3 cm³

Step-by-step explanation:

Volume of a hemisphere = \(\frac{2}{3} \pi r^3\) [Because it's half of a sphere's volume]

V = \(\frac{2}{3} (3.14)(8)^3\)

V = \(\frac{2}{3} (3.14)(512)\)

V = \(\frac{3216.99}{3}\)

V = 1072.3 cm³

a researcher wants to determine if daily walks together strengthen a marriage. one group of wives and one group of husbands are selected and have daily walks. after 2 weeks, all are asked if they felt their marriage was stronger based on the walks and the results of the two groups are compared. to be a valid matched pair test, what should the researcher consider in creating the two groups? group of answer choices that the both groups were positive on marriage before the walks that the wives group was positive on marriage before the walks that the husbands and wives selected were married to each other that all husbands and wives in the test had been married about the same amount of time

Answers

Answer:

Step-by-step explanation

2=x

(a) what is the probability that the first sample following the mean shift produces a statistics that plots inside the control limits?

Answers

The probability that the first sample following the mean shift produces a statistics that plots inside the control limits: β ^{m-1}( 1-β )

What is Probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Pr(shift found on mth sample) = Pr (not detected for (m-1) samples) x Pr (detected on mth)

= [ 1-(1-β) ]^{m-1} ( 1-β )

=β ^{m-1}( 1-β )

the anticipated number of subgroups to be examined before the shift is seen

ARL=1/{1-β}

Shift not detected on the first sample following the shift:

Pr = 1-(1-β) = β

Pr n successive samples that are outside of the control limits

= ( 1- β )^{n}

f) the likelihood that at least one out of n consecutive statistical plots will fall outside the control limit.

=[1- ( 1- β )]^{n}

=β^{n}

Hence, The probability that the first sample following the mean shift produces a statistics that plots inside the control limits is β ^{m-1}( 1-β )

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how many ways are there for six ce majors and ten cs majors to stand in a line so that no two ce majors stand next to each other?

Answers

There are 1,207,084,032,000 ways for 6 CE majors and 10 CS majors to stand next to each other in the lines.

We use permutations and combinations for solving this problem. We fix the position of CS students so that they can stand in a fixed place by

= 10! ways (i)

Now, there are 11 places left for CE students so that no two CE students stand next to each other.

6 CE students in the rest of the 11 places can sit by = 11! / (11-6)! ways (ii)

Hence, using the values of (i) and (ii), we get -

= (10! * 11!) / (11-6)!

= 1,207,084,032,000

Therefore, we have 1,207,084,032,000 ways in which the six CE majors and ten CS majors can stand in a line so that no two CE majors stand next to each other.

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