Simplify: 1 1/2*1 1/3*1 1/4*1 1/5*1 1/6*...*1 1/n

Answer:

198

Step-by-step explanation:

From the equation, the number of lemonade will be 306.

Since when the person has $245 and decide to spend it all on ice cream, the person can buy 70 pints, the cost of one will be:

= $245/70

= $3.5

The price of a glass of lemonade is 2.7 times less, the price will be:

= $3.5 - $2.7

= $0.8

Therefore, the number of lemonade that can be bought will be:

= 245/0.8

= 306

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Answer:

a) % age of samples containing none of these defects = 93.9%

b)% age of samples containing at least one of these defects = 6.1%

c) % age of samples free of type X and/or type Y defects = 95.8%

d) %age of samples with not more than 1 defect = 98.9%

Step-by-step explanation:

Data Given:

Number of Samples = 1000

Type X defect = 2.1% = 21 samples

Type Y defect = 2.4% = 24 samples

Type Z defect = 2.8% = 28 samples

Both Type X and Y defect = 0.3% = 3 samples

Both Type X and Z defect = 0.4% = 4 samples

Both Type Y and Z defect = 0.6% = 6 samples

Type X and Y and Z defect = 0.1%  = 1 sample

Venn Diagram is attached in the attachment below. Please refer to attachment for the Venn Diagram.

a) % age of samples containing none of these defects.

Solution:

Number of samples containing none of these defects = Total - Samples with defects

Number of samples containing none of these defects = 1000 - { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }

 Number of samples containing none of these defects = 1000 - { (21) + (24) +(28) - (3) -(4) - (6) + (1) }

Number of samples containing none of these defects = 1000 - 61

Number of samples containing none of these defects = 939

% age of samples containing none of these defects = 939/1000 x 100

% age of samples containing none of these defects = 93.9%

b) % age of samples containing at least one of these defects:

We have already calculated this above, number of samples containing at least on of these defects:

number of samples containing at least on of these defects = { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }

number of samples containing at least on of these defects = { (21) + (24) +(28) - (3) -(4) - (6) + (1) }  

number of samples containing at least on of these defects = 61

% age of samples containing at least one of these defects = 61/1000 x 100

% age of samples containing at least one of these defects = 6.1%

c) % age of samples free of type X and/or type Y defects.

For this find, we need to find the samples with only Z Type defect.

Number of Samples with Only Z type defects = { (Type Z) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }

Number of Samples with Only Z type defects = { (28)  -(4) - (6) + (1) }

Number of Samples with Only Z type defects = 19

Now, we also know the number of samples without any defects = 939

Now,

The number of samples free of type X and/or type Y defect = Sum of Number of Samples with Only Z type defects and number of samples without any defects

The number of samples free of type X and/or type Y defect = 19+939

The number of samples free of type X and/or type Y defect = 958

% age of samples free of type X and/or type Y defects = 958/1000 x 100

% age of samples free of type X and/or type Y defects = 95.8%

d) %age of samples with not more than 1 defect:

For this find, we need to find number of samples with only X type and with only type Y and with only type Z.

We have already found the number of samples with only Z type defect = 19

Now,

number of samples with only X type defect = { (Type X) - (Both X and Z) - (Both X and Y) + (All defects X and Y and Z) }

number of samples with only X type defect =  { (21)  -(4) - (3) + (1) }

number of samples with only X type defect =  15

Similarly,

number of samples with only Y type defect =  { (Type Y) - (Both Y and Z) - (Both X and Y) + (All defects X and Y and Z) }

number of samples with only Y type defect =  { (24)  -(6) - (3) + (1) }

number of samples with only Y type defect =  16

For,

samples with not more than 1 defect = number of samples with only Y type defect + number of samples with only X type defect + number of samples with only z type defect + number of samples without any defects

samples with not more than 1 defect = 939 + 16 + 15 + 19

samples with not more than 1 defect = 989

%age of samples with not more than 1 defect = 989/1000 x 100

%age of samples with not more than 1 defect = 98.9%

Answer:

M = rise/run is the formula

Step-by-step explanation:

That's it

Answer:

C+B

Step-by-step explanation:

you add A + B = C

Answer:

A=10

B=35

Step-by-step explanation:

Answer:

x=-6.8

[tex] \\ step \: by \: step \: explanation \\ \frac{11}{(x + 9)} = 5 \\ 11 = 5(x + 9) \\ 11 = 5x + 45 \\ 5x = 11 - 45 \\ 5x = - 34 \\ x = \frac{ - 34}{5} = - 6.8[/tex]

Answer:

I don't have graphing paper but this problem will have no solution. It will create two parallel lines going downwards.

Step-by-step explanation:

They both have the same slope and different y intercept so they will never intersect

Answer:

y=  3/4

Step-by-step explanation:

Answer:

y=3/4

Step-by-step explanation:

4/3y=1

divide both sides by 4/3

1 divided by 4/3 is 3/4 so:

y=3/4

Given the equation: - 4 √x - 3 = 12

solve for x;

Divide both sides by -4 in [1];  we get;

√x - 3 = -3

Squaring both sides we get;

x -3 = (3)²

or

x - 3 = 9

Add 3 both sides we get;

x - 3 + 3 = 9 + 3

Simplify:

x= 12

Extraneous solution states that it is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.

Substitute  x= 12 in [1]

- 4√12 - 3 = 12

- 4√9 = 12

-4. 3 = 12

-12 = 12 False.

Therefore, the value of x is 12 and it is an extraneous solution.

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Answer:

252 in²

Step-by-step explanation:

Just separate them into different shapes and add their areas together.

Answer:

252 Inches

Step-by-step explanation:

We first section off all the areas we can, find the area of each of those, add them all up, and you get 252 inches.

Answer:

17 horses and 19 geese

Step-by-step explanation:

Let x be the number of horses and y be the number of geese

We know that, horses have four feet and geese have 2 feet

It is given that

x+y=36 (i)

and

4x+2y=106 (ii)

Solve the two equations simultaneously by substitution,

From equation (i)

y=36-x (iii)

Substitute y with 36-x in equation (ii)

4x+2(36-x)=106

4x+72-2x=106

4x-2x=106-72

2x=34

x=17

Then

Substitute x=17 to equation (iii)

y=36-17=19

x=17, y=19

We therefore have 17 horses and 19 geese

Answer:

the x intercept is x=-8

the y intercept is y=12

Step-by-step explanation:

[tex]3(4 - 2x) = - 2x[/tex]

[tex]12 - 6x = - 2x[/tex]

[tex]12 = - 2x + 6x \\ 12 = 4x \\ \frac{12}{4} = x \\ 3 = x[/tex]

[tex]3(4 - 2x) = - 2x \\ 3(4 - 2(3)) = - 2(3) \\ 3(4 - 6) = - 6 \\ 3( - 2) = - 6 \\ - 6 = - 6 \: \: \green{ \checkmark}[/tex]

The equation is true when x = 3. Therefore the answer is D. 3

[tex] \large \boxed{x = 3} \: \: \sf{or} \: \: \large \boxed{ \sf{D \: \: choice}}[/tex]

Answer:

solution

Step-by-step explanation:

3 (4-2x)= -2x

12-6x= -2x

12= -2x+6x

12= 4x

12÷4= x

3= x

D

Answer:

x = -6

Step-by-step explanation:

4x - 2 - 8x = 22

-4x - 2 = 22

-4x = 24

4x = -24

x = -6

Answer: The probability is that it has a 50/50 chance of landing on either side

Step-by-step explanation:

Answer:

56.52 is the circumference. If the radias is 9 and the diameter is then 18.

Step-by-step explanation:

Answer:

56.52 is the circumference. If the radias is 9 and the diameter is then 18.

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

divide by 3 on both sides then add 6 on both sides

Answer:

the answer is x=10, x=2

Step-by-step explanation:

hope that helps

Answer:

11/5

Step-by-step explanation:

2 x 5 = 10

10 + 1 = 11

11/5

Answer

17

its a division sign for : so 24-24 divided by 3 + 1

Answer:  -18

Step-by-step explanation:

It is decreasing so the now will become negative since it is same as losing some points.

Answer:

y=2x-4

Step-by-step explanation:

gdgdvdjsksevsg

Answer:

the answer is

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it is A

Answer:

d

Step-by-step explanation:

yw can i have brainliest since this is prob the right answer

Answer:

Number of cars needed for the trip = 11

Step-by-step explanation:

Given that:

Number of children = 40

Number of adults = 12

Total number = 40 + 12 = 52 people

Each car can hold 5 people.

Number of cars = [tex]\frac{52}{5}[/tex]

Number of cars = 10.4

Rounding off to next whole number as one car can hold a maximum of 5 people.

Number of cars = 11

Hence,

Number of cars needed for the trip = 11

Answer:

480/11

Step-by-step explanation:

8:11 as x:60

480 = 11x

x= 480/11

Pls mark Brainiest :)

9514 1404 393

Answer:

  24-oz jar is lower cost per ounce

Step-by-step explanation:

The 16-ounce jar is almost $2.60. The 24-ounce jar contains half again as much peanut butter (16 +1/2·16 = 24). So, if the 24-ounce jar were the same price, it would cost half-again as much:

  $2.60 +(1/2)2.60 = $2.60 +1.30 = $3.90.

The 24-ounce jar is priced considerably below that amount, so the 24-ounce jar has a lower price per ounce.

__

You could also view the 16-ounce jar as 2/3 the quantity of the 24-ounce jar. If it were the same price, that price would be about (2/3)$3.30 = $2.20. The 16-ounce jar is somewhat more than that, so costs more per ounce.

_____

Additional comment

For the estimates we did here, we needed prices that were divisible by 2 or 3. That involved adding a penny to the given price. So, the estimated equivalent price is off by a penny or so--not an issue in this case.

Note that we didn't actually need to find the per-ounce prices. We only needed to find the price for an equivalent number of ounces, which is much easier mental arithmetic.