does anyone know this?

The probability that at least one of the four selected calculators is defective is approximately 0.7775, or 77.75%.

To find the probability that at least one of the selected calculators is defective, we can use the concept of complementary probability. We calculate the probability of none of the selected calculators being defective and subtract it from 1.

The total number of calculators in the group is 20 (defective) + 29 (no defects) = 49 calculators.

The probability of selecting a non-defective calculator in one draw is 29/49. Therefore, the probability of selecting four non-defective calculators in a row is (29/49)^4.

To find the probability of at least one defective calculator, we subtract the probability of none being defective from 1:

P(at least one defective) = 1 - P(none defective)

                       = 1 - (29/49)^4

Using this formula, we can calculate the probability.

P(at least one defective) ≈ 1 - (29/49)^4 ≈ 1 - 0.2225 ≈ 0.7775

Therefore, the probability that at least one of the four selected calculators is defective is approximately 0.7775, or 77.75%.

For more questions on probability, click on:

https://brainly.com/question/13604758

#SPJ8

Answer:

Step-by-step explanation:

Given :-

AB = 5m

CB = 5m

CD = 8 m

AD = 4m

____________________________

\(\mathrm{Area \; of \; trapezoid = \cfrac{1}{2}\; (Sum\; of\; parallel\: sides)\times height}\)

\(\mathrm{Area = \cfrac{1}{2}\:(AB + CD)\times AD }\)

\(\mathrm{\cfrac{1}{2}\:(5m+8m)\times 4m }\)

\(\mathrm{\cfrac{1}{2} \times 13m\times 4m}\)

\(\mathrm{26m^2}\)

Therefore, the Area of the trapezoid is 26m².

_____________________

Hope this helps!

Answer:

do u have insta

Step-by-step explanation:

Answer:

The answer is x > -2.5 or (-2.5,infinity)

Step-by-step explanation:

Hence, Nick had the option of using two £5 notes with various coins or a £20 note.

Permutations in mathematics are configurations of a collection of things in a particular order. A alternative arrangement or ordering of a set of things is referred to as a permutation. The symbol n! (read as "n factorial"), which is the product of all positive numbers less than or equal to n, stands for the quantity of permutations that may be made of a set of n items. For instance, the following permutations are conceivable if we have a set of three items (a, b, and c): There are 6 permutations that can be generated, which can be calculated as 3! = 3 x 2 x 1.

given

We must find combinations of notes and coins that total £25.70 in order to establish the probable notes and coins Nick may have used. He used two notes and four coins, so we can infer the following:

2n + 4c = 25.70

where n is the note's value and c is the coin's value. Moreover, we are aware of the following notes and coins:

Coins: £2, £1, £0.50, £0.20, £0.10, £0.05, £0.02, and £0.01 Notes: £20 and £5

We can start by using the highest value notes and coins first to make the problem simpler.

In relation to the £20 note, we have:

2(£20) + 4c = £40 + 4c = £25.70

4c = £25.70 - £40 = -£14.30

Hence, Nick had the option of using two £5 notes with various coins or a £20 note.

To know more about permutation visit:

https://brainly.com/question/1216161

#SPJ1

The complete question is:-   Nick buys some fruit for £25.70

He pays the exact amount using two notes and four coins.

List the notes and coins (highest to lowest) Nick could have used. Units must be included.

Highest note

Notes

£20

£5

Coins

£0.50

£0.20

Highest coin

Answer:

Step-by-step explanation:

since he uses four coins to pay the 70 p, he would pay

£0.50  £0.10 £0.05 and another £0.05

he uses the notes £20 and £5

The number of cows equation he has is 40

A system of equations is any set of two or more equations that may be solved to get a single answer. The power of the equation must be in one degree. It is possible to employ a set of equations with variables for cows and chicks. Animals on the farm are consequently x+y=40. The legs of the farm are 4x+2y=100 as a result. A system of equations is a collection of two or more equations that use the same variables. The answer to a system of equations is a set of values for a variable that concurrently satisfy each equation.

h is the number of horses the farmer owns.

Now,h+5h=168

6h=168

h=168/6

h=28 horses.

5*28=140 cows.

28+140=168

168=168

To know more about equations visit:-

https://brainly.com/question/8409202

#SPJ1

Answer:

No, it doesn't pass the vertical line test.

Step-by-step explanation:

The profit made by Gavin at the end of the game is $0.87 per bottle.

The profit can be calculated by taking the difference of selling price and the cost price.

Given that,

The number of bottles bought for $18.50 is 48 and sold for $1.25 each.

Then, the cost for one bottle is 18.50/48 = $0.38.

As per the question the profit made can be calculated as the difference of selling price and cost price as,

Profit = Selling price - Cost Price

         =  1.25 - 0.38

         = $0.87

Hence, the profit earned by Gavin is given as $0.87 for each bottle.

To know more about profit click on,

https://brainly.com/question/7544724

#SPJ6

Answer:

X = 35.7 Y=54.3

Step-by-step explanation:

Let the 2 angles be called X and Y were X is the smaller angle

we know that both angles are complementary therefore
X+Y=90

X = Y - 18.6 ( Given )

Y - 18.6 + Y = 90 ( substitution)

2Y = 90 + 18.6

Y = 108.6/2

Y=54.3

X= Y-18.6= 54.3-18.6 = 35.7

Check : X + Y = 35.7+54.3=90

The points that he average on the last two tests will be 93 points.

A mean is the average of the set of numbers that are given.

On the first five tests that he took, he averaged 86 points. The total points will be:

= 86 × 5

= 430 points

He averaged 88 points on all seven tests. The total will be:

= (88 × 7)

= 616 points

The point average on the last two tests will be:

= (616 - 430)/2

= 186/2

= 93 points

Learn more about mean on:

brainly.com/question/1136789

#SPJ1

Answer:

The answer is 90 mm squared

Step-by-step explanation:

First off, Surface Area is the combined areas of the 2D shapes that make up a 3D shape. The formula for finding the area of a triangle (the 2D shape that makes up most of a pyramid) is a = 1/2 bh, which is basically area = 1/2 base (the un-slanted line) * the height, or the middle line.

Since there are 4 triangles, you would multiply this by 4 after solving, so

sa = 4(1/2bh)

Putting the numbers in, you'd get

sa = 4(1/2*5*9)

To solve:

sa = 4(1/2*45)

sa = 4(22.5)

sa = 90mm^2

Answer:

1364 is the number of possibilities for positive integers less than 1,00,000.

Step-by-step explanation:

1. 5 digit numbers:

We have 5 places here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 5 digit numbers:

\(4 \times 4 \times 4 \times 4 \times 4\\ \Rightarrow 1024\)

2. 4 digit numbers:

We have 4 places here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 4 digit numbers:

\(4 \times 4 \times 4 \times 4 \\ \Rightarrow 256\)

3. 3 digit numbers:

We have 3 places here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 3 digit numbers:

\(4 \times 4 \times 4 \\ \Rightarrow 64\)

4. 2 digit numbers:

We have 2 places here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 2 digit numbers:

\(4 \times 4 \\ \Rightarrow 16\)

5. 1 digit numbers:

We have 1 place here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 1 digit numbers:

\(4\)

We can add all the above possibilities to find the total.

So,  number of positive integers less than 100,000 whose digits are among 1, 2, 3, and 4 = 1024 + 256 + 64 + 16 + 4 = 1364

Answer:

This is a waste of time. I'm sorry you have to do this, this is pointless. I did it too. I'll spare you the calculations — it's 1364.

Answer:

Step-by-step explanation:

Given

price of the computer on Friday = $200

price of the computer on Saturday = $149

Difference in price = 200 - 149 = $51

Since the price reduces in price by $51, hence there was a markup in price.

% markup = difference in price/original price * 100%

% mark up = 51/200*100%

% markup = 51/2

% markup = 25.5%

Hence the markup was a 25.5% change

Answer:

25.5 is the answer..........................................................

Step-by-step explanation:

Answer:

some thing is broken man

Step-by-step explanation:

The formula that expresses the number of teachers in the school, \(n_t\), in terms of the number of students in the school, \(n_s\), is:

\(n_t = n_s / 11\)

In other words, the formula assumes a linear relationship between the number of teachers and the number of students, where the ratio of teachers to students is fixed at 1:11.

To express the number of teachers in the school, n_t, in terms of the number of students in the school, n_s, we can use the given information that for each teacher there are 11 students.

We can set up a proportion based on this relationship:

\(n_t / n_s = 1 / 11\)

To solve for \(n_t\), we can multiply both sides of the equation by \(n_s\):

\(n_t = (1 / 11) * n_s\)

Simplifying the equation, we have:

\(n_t = n_s / 11\)

Therefore, the formula that expresses the number of teachers in the school, \(n_t\), in terms of the number of students in the school, \(n_s\), is:

\(n_t = n_s / 11\)

Thus, the formula assumes a linear relationship between the number of teachers and the number of students, where the ratio of teachers to students is fixed at 1:11.

Learn more about proportions and linear relationships.

https://brainly.com/question/20319245

#SPJ4

Answer:

(11 - a)(7 + a)

Step-by-step explanation:

81 - (a - 2)² ← is a difference of squares and factorises in general as

a² - b² = (a - b)(a + b) , then

81 - (a - 2)²

= 9² - (a - 2)²

= (9 - (a - 2) )(9 + (a - 2) )

= (9 - a + 2)(9 + a - 2)

= (11 - a)(7 + a)

Answer:

x=−41−−239 ​​=−41​+4i​239 ​=−0.2500−3.8649i x=−41+−239 ​​=−41​−4i​239  =−0.2500+3.8649i

Step-by-step explanation:

Point = (x,y)= (-8, 1 )

Slope = -5/4

Slope intercept form:

• y=mx+b

Where:

m= slope

b = y-intercept

So far:

y= -5/4x + b

Replace (x,y) for the given points and solve for b:

1 = -5/4 (-8) + b

1 = 10 + b

1 - 10 = b

b = -9

Final equation:

y= -5/4x - 9

Answer:

26.1799387799π cm (squared) round up if u want (26.2πcm (squared))

Step-by-step explanation:

The area of the sector with a central angle and radius value is given by :  

  n

____   πr (squared)

360

=      120

   ______  × π × 5 (squared)

     360

​

answer= 26.1799387799 round up if u want (26cm (squared))

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

Answer:

Step 1: First, focus on one column and pick two points in the table to calculate slope. Plot these points on a graph with Cartesian coordinates. If we wanted to do Points 3 and 7 for example, we would plot them on the graph like so:

Point#3 = (-2,-5) Point#7 = (1,-10)

Step 2: Next, find the difference in y-coords between each pair of data points by subtracting Column#3's value from Column#7's value when you are looking at Point#3:-5 - 10= -15 OR when you are looking at Point #7 10- -2=-18. This tells us that in this instance the slope is negative.

Step 3: Then, take the difference between Column#1's value and Column #3's value when you are looking at Point#3:-5 - (-2)=7 OR when you are looking at Point #7(-10)-(1)=-9 This tells us that in this instance the slope is positive.

We can do this for any two points of data to find the two slopes.

Once we have found all our slopes, we can use our table of values to set up an equation y=mx+b where m=gradient (m=slope=rise/run) x = First number in ordered pair b = y-intercept (the second number in an ordered pair) With this equation we can use our points 3 and 7 to find their corresponding y-intercepts, which are -15 and -18. Once you have found the y-intercepts, you can plug in any x-value into your equation with m & b to see what the corresponding y value will be! For example:

Once you've done this for each ordered pair, plot them on a graph if possible, otherwise make sure they are all in order. Below is what they should look like once plotted on an xy scatter plot (ignore the fact that I did my line backwards in some parts of it):

The red line is positive slope while the blue line is negative slope. The green line was not included in the table of values. You can see that it looks very similar to the red line, but doesn't intersect some points on the x axis. This is because we set our gradient (m) to be negative and so it had to curve downwards instead of upwards like a positive angle would:

This means that while the red and blue lines cross more often than they don't, this green line will only ever cross up once! It is simply their "mirror image". That's why when you shift your graph, this green line still behaves exactly as it did before. If you shift your graph for this problem by 3 units in an upwards direction, all you have to do is change -3's to +3's for both m & b to get the same graph as before!

**ANSWER MADE BY AN AI**

By the Distributive Property, the expression is 7h - 70

From the question, the expression is given as

7(h − 10)

As a general rule, the Distributive Property of algebra states that

a(b - c) =a * b - a * c

Using the above as a guide, we have

a = 7, b = h and c = 10

Substitute a = 7, b = h and c = 10 in the equation a(b - c) =a * b - a * c

So, we have

7(h − 10) =7 * h - 7 * 10

Evaluate

7(h − 10) =7h - 70

Hence, the simplified expression is 7h - 70

Read more about expressions at

https://brainly.com/question/723406

#SPJ1

The absolute value of x=5 is 5.

The absolute value of a number is its positive equivalent of the number

For instance, the absolute value of -5 is 5 and the absolute value of 5 is also 5.

Generally, it is denoted by the symbol |x|.

So, we have

The absolute value of x=5

This gives

x = |5|

Evaluate

x = 5

Read more about absolute value at

https://brainly.com/question/24368848

#SPJ1

Answer:

I attached your answer along with an explanation

Step-by-step explanation:

Please Like me follow me and Give me Crown for more help. :)

Answer:

20 minutes

Step-by-step explanation:

Plan A

C = 40 + 0.05m

Plan B

C = 0.25m

we want to find the number of minutes m such that the two plan cost the same.

Hence

40 + 0.05m = 0.25m

40 = 0.20 m

m = 40/ 0.20

m = 400 / 2

m = 20 minutes.

The function t(x, y) = (x, 2xy, y) is not a linear transformation from R2 to R3.

To determine if t(x, y) = (x, 2xy, y) is a linear transformation, we need to check if it satisfies the two properties of linearity: preservation of vector addition and scalar multiplication.

For preservation of vector addition, we need t(u + v) = t(u) + t(v) to hold for all vectors u and v in R2.

However, if we consider two arbitrary vectors u = (x1, y1) and v = (x2, y2),

we have t(u + v) = t(x1 + x2, y1 + y2) = (x1 + x2, 2(x1 + x2)(y1 + y2), y1 + y2),

while t(u) + t(v) = (x1, 2x1y1, y1) + (x2, 2x2y2, y2) = (x1 + x2, 2x1y1 + 2x2y2,

y1 + y2). Since 2(x1 + x2)(y1 + y2) is not equal to 2x1y1 + 2x2y2 in general, preservation of vector addition does not hold.

Similarly, for scalar multiplication, we need t(cu) = c * t(u) to hold for all vectors u in R2 and scalar c.

However, if we consider an arbitrary scalar c and vector u = (x, y),

we have t(cu) = t(cx, cy) = (cx, 2(cx)(cy), cy),

while c * t(u) = c(x, 2xy, y) = (cx, 2cxy, cy).

Since 2(cx)(cy) is not equal to 2cxy in general, preservation of scalar multiplication does not hold.

Therefore, t(x, y) = (x, 2xy, y) does not satisfy the properties of linearity and is not a linear transformation from R2 to R3.

Learn more about linear transformation here: brainly.com/question/13595405

#SPJ11

Answer:

1. The powers include: budgeting and appropriation of funds for all county activities; building and maintaining county roads; making and enforcing civil and criminal resolutions and ordinances not in conflict with state law, including those for land use and building construction; supporting and implementing.

2. Serves as a licensed peace officer and is responsible for enforcing the criminal laws of the state. Manages and operates the county jail. Provides security for the courts.

3. County governments perform essential administrative functions such as registering voters, supervising elections, keeping records, providing police protection, and administrating health and welfare services.

Step-by-step explanation:

The first problem is asking for the number of combinations which is 20, while the second problem is asking for the number of permutations which is 336.

In the first problem, the homeowners' association needs to form a committee of 3 people from a board of 6 supervisors. Here, the order in which the committee members are selected does not matter, and only the combination of individuals is important. Therefore, the problem is asking for the number of combinations, and the formula to calculate it is nCr = n! / (r!(n-r)!), where n is the total number of items (6 supervisors) and r is the number of items to be selected (3 committee members). Thus, the answer to the first problem is the number of combinations: 6C3 = 6! / (3!(6-3)!) = 6! / (3!3!) = (6x5x4) / (3x2x1) = 20.

In the second problem, the director needs to cast the male roles of Romeo, Mercutio, and Benvolio from a pool of 8 actors. Here, the order in which the actors are selected matters, as each actor will be assigned to a specific role. Therefore, the problem is asking for the number of permutations, and the formula to calculate it is nPr = n! / (n-r)!, where n is the total number of items (8 actors) and r is the number of items to be selected (3 roles). Thus, the answer to the second problem is the number of permutations: 8P3 = 8! / (8-3)! = 8! / 5! = (8x7x6) / (3x2x1) = 336.

Learn more about combinations here:

https://brainly.com/question/29595163

#SPJ11

Answer:

Im sorry idrk

Step-by-step explanation:

Answer:

Your answer would be 1/2

Step-by-step explanation: