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Find 7/8 divided by 1/3. Input your answer as a reduced fraction.

Single Sampling Plan: AQL = 0, LTPD = 3.41, AOQ = 1.79 Double Sampling Plan: AQL = 0, LTPD = 2.72, AOQ = 1.48

The values for the ASN (Average Sample Number) curves for the given single sampling plan and double sampling plan are:

Single Sampling Plan (n=80, c=3):

ASN curve values: AQL = 0, LTPD = 3.41, AOQ = 1.79

Double Sampling Plan (n1=50, c1=1, r1=4, n2=50, c2=4, r2):

ASN curve values: AQL = 0, LTPD = 2.72, AOQ = 1.48

The ASN curves provide information about the performance of a sampling plan by plotting the average sample number (ASN) against various acceptance quality levels (AQL). The AQL represents the maximum acceptable defect rate, while the LTPD (Lot Tolerance Percent Defective) represents the maximum defect rate that the consumer is willing to tolerate.

For the single sampling plan, the values n=80 (sample size) and c=3 (acceptance number) are used to calculate the ASN curve. The AQL is 0, meaning no defects are allowed, while the LTPD is 3.41. The Average Outgoing Quality (AOQ) is 1.79, representing the average quality level of outgoing lots.

For the equally effective double sampling plan, the values n1=50, c1=1, r1=4, n2=50, c2=4, and r2 are used. The AQL and LTPD values are the same as in the single sampling plan. The AOQ is 1.48, indicating the average quality level of outgoing lots in this double sampling plan.

These ASN curve values provide insights into the expected performance of the sampling plans in terms of lot acceptance and outgoing quality.

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Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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The exchange rate of the euro/pound expressed to four decimal places is 1.0100 euro/pound.

To find the exchange rate of the euro/pound, we can use the given exchange rates of dollar/pound and dollar/euro.

Let's denote the exchange rate of euro/pound as E.

Given:

Exchange rate of dollar/pound = 1.21 dollar/pound

Exchange rate of dollar/euro = 1.22 dollar/euro

To find the exchange rate of euro/pound, we can divide the exchange rate of dollar/euro by the exchange rate of dollar/pound:

E = (Exchange rate of dollar/euro) / (Exchange rate of dollar/pound)

E = 1.22 dollar/euro / 1.21 dollar/pound

Simplifying this expression, we get:

E = 1.01 euro/pound

Therefore, the exchange rate of the euro/pound, is 1.0100 euro/pound.

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Answer:

8(2k + 3)

Step-by-step explanation:

16k + 24

16k and 24 have the factor 8 in common.

16k + 24 = 8(2k + 3)

The absolute value of 1 1/4 + - 11/6 is 7/12

The absolute value of any number is the non-negative value. Therefore, the absolute value is always positive. It is the distance of a number from zero. The absolute value is represented by the modulus sign 'l l'.

Given, 1 1/4 + - 11/6

We have to find the absolute value of the given equation.

1 1/4 + - 11/6 or 5/4 - 11/6

By solving the equation, we get  (-7/12)

The absolute value of l-7/12l is 7/12.

We can conclude that the absolute value of a negative number is a positive number. The absolute value of a positive number is also a positive number.

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The amount that Jamal makes is given as follows:

$403.2.

The amount is obtained applying the proportions in the context of the problem.

Jamal is painting a house of 24 ft width and 14 ft length, hence the area is given as follows:

A = 24 x 14

A = 336 ft².

It takes 2 hours for every 50 square feet they paint, hence the time needed is given as follows:

336/50 x 2 = 13.44 hours.

The paint company charges 30$ a hour, hence the total cost is given as follows:

13.44 x 30 = $403.2.

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The answer of the linear equation for Y=2x+5 is x = (y-5)/2.

What is linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.  The standard form of a linear equation in one variable is of the form Ax + B = 0.  Now in this equation, x is a variable, A is a coefficient, and B is constant.

The given linear equation is,

Y=2x+5

Now, solve this linear equation for x

Take 5 to LHS it will change sign to -ve

y-5 = 2x

Next, take coefficient of x below to LHS

(y-5)/2 = x

Now, swap the sides

x = (y-5)/2

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Answer:

x = 3.92699081 + 7.85398163n where n is an integer

Answer:

14

Step-by-step explanation:

Step-by-step explanation:

You divide each term by -2

Answer:

Angle ABM in the rhombus is equal to 180 - 55 = 125 degrees.

The difference quotient for the function f(x) = 69x + 2 is a constant value of 69. This means that the average rate of change of the function over any interval is always 69.

To evaluate and simplify the difference quotient for the function f(x) = 69x + 2, we first need to understand what the difference quotient represents. The difference quotient is a mathematical expression that measures the average rate of change of a function over a given interval. It is defined as:

[f(x + h) - f(x)] / h,

where h represents a small change in the x-values.

Let's proceed with calculating the difference quotient for the given function:

[f(x + h) - f(x)] / h

= [(69(x + h) + 2) - (69x + 2)] / h

= [69x + 69h + 2 - 69x - 2] / h

= (69h) / h

= 69.

To simplify the expression, we used the distributive property to expand the function f(x + h). Then, we simplified the numerator by combining like terms. The constant terms 2 and -2 canceled each other out. The h term in the numerator can be factored out, which allows us to cancel it out with the h term in the denominator. Finally, we are left with the simplified expression of 69.

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The volume of the figures are;

6. Volume of the cylinder is approximately  11259 in³

7. Volume of cylinder is approximately 14476 mm³

8. Volume of box is 2808 ft³

From the question, we are to calculate the volume of the given figures

6.

The volume of a cylinder can be calculated by using the formula,

Volume = πr²h

Where r is the radius

and h is the height

In the diagram,

Diameter = 32 in

Therefore,

Radius = 16 in

Height = 14 in

Thus,

Volume of the cylinder = π × 16² × 14

Volume of the cylinder = 11259 in³

7.

First we will determine the diameter of the cylinder and then the radius

Let the diameter be d

by using the Pythagorean theorem,

40² = d² + 32²

d² = 40² - 32²

d² = 576

d = √576

d = 24

Therefore,

Radius = 12 mm

Height = 32mm

Then,

Volume of cylinder = π × 12² × 32

Volume of cylinder ≈ 14476 mm³

8.

Volume of box = Length × Width × Height

Volume of box = 39 ft × 12 ft × 6 ft

Volume of box = 2808 ft³

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Answer/Step-by-step explanation:

For the 4th...

x=130 (since they are congruent)

y= 130 (Still congruent.)

(I am not really sure what a therom is)

5th one...

x= 65 (Congruent)

y= 115

And the 6th one

x= 100

y= 80

Hope this helps :)

Answer:2380 minutes. By saying how many more minutes does an infant sleep than an adult in one week impies that you have to subtract how long an adult sleeps taken away from the amount of time an infinte sleeps. Once you get the answer you multiply it by seven.

Step-by-step explanation:

Answer:340 minutes

Step-by-step explanation:you subtract the amount an infant sleeps (820 minutes) by the amount an adult sleeps (480 minutes)

820-480=340

Explanation:

C = circumference of a circle of radius r

C = 2*pi*r

40 = 2*3.14*r

40 = 6.28r

r = 40/6.28

r = 6.37

A = area of the circle of radius r

A = pi*r^2

A = 3.14*(6.37)^2

A = 127.41

A = 127

The area of the circular pizza is roughly 127 square inches.

The other pizza has an area of 10*10 = 100 square inches. The circular pizza is slightly larger in area, which means you should go for the circular pizza.

Answer:

The weight : 9 pound

Lamar would pay for his dinner : $71

Step-by-step explanation:

Let x represent the weight of the lobster

the cost of the dinner at restaurant 1 is 4x + 35  

the cost of the dinner at restaurant 2 is 3x + 44

Now ,we have to solve the equation :  

4x + 35 = 3x + 44

-3x - 35   -3x  - 35    -> trying to get all x terms on one side. other just #

4x - 3x = 44 - 35

⇔ 1x = 9

⇔ x = 9

In this case Lamar would pay the same amount for his dinner at any restaurant:

the price = 4×(9)+35 = 71

               = 3×(9)+44 = 71.

Hope this helps, Let me know if you have any question/concerns !

Have a nice rest of your day :)

6^6

using the rule that x^y / x^z = x^y-z you can find the answer by doing 2+4 and finding 6^6

Answer:

Number: 28.25

Solution to Quadratic: \(x=\frac{9}{2}\pm\frac{\sqrt{113}}{2}}\)

Step-by-step explanation:

\(x^2-9x-8=0\)

\(x^2-9x-8+28.25=0+28.25\) <-- 28.25 is the number you need to add

\(x^2-9x+20.25=28.25\)

\((x-4.5)^2=28.25\)

\(x-4.5=\pm\sqrt{28.25}\)

\(x=4.5\pm\sqrt{28.25}\)

\(x=\frac{9}{2}\pm\sqrt{\frac{113}{4}}\)

\(x=\frac{9}{2}\pm\frac{\sqrt{113}}{2}}\)

The specific gravity of the combined product is 1.22

Specific gravity is the ratio of the density of a substance to the density of some substance (such as pure water) taken as a standard when both densities are obtained by weighing in air.

Given,

The total quantity of portion= 50 ml

Specific gravities of the three syrups = 1.10,1.25 and 1.32

Then,

The specific gravity of the combined product= \(\frac{1.10+1.25+1.32}{3}\)

= 1.22

Hence, the specific gravity of the combined product is 1.22.

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In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.

In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.

In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.

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When m = 16, the value of P is 18, given that P is inversely proportional to m and P = 36 when m = 8.

When we say that P is inversely proportional to m, it means that as one variable increases, the other variable decreases, and the product of the two variables remains constant. Mathematically, we can express this relationship using the formula P = k/m, where k is a constant of proportionality.

In the given problem, we are given the initial condition that P = 36 when m = 8. We can use this condition to solve for the constant of proportionality k by substituting the values of P and m into the formula:

36 = k/8

Solving for k, we get:

k = 288

Now that we know the value of k, we can use it to find the value of P when m = 16:

P = k/m

P = 288/16

P = 18

Therefore, when m = 16, P has a value of 18.

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Answer:

The exponent 2 tells us that we must multiply 2 five's together.

So we have: 5^2 = 5 x 5

Let me know if this helps!

Answer:

The exponent 2 tells us to multiply the base 5 by itself

Step-by-step explanation:

An exponent tells us to multiply the base by itself the amount of times of the exponent

In this case, the base is 5 and the exponent is 2

The exponent is telling us to multiply our base: 5 by itself

5x5

Answer:

21.06

Step-by-step explanation:

the answer is 21.06

hope this helped!

Answer:

18

Step-by-step explanation:

3/4 x 24 = 18

Glow costs 16/27 dollars, which is equal to 59.3 cents per volume unit.

Let's start by assigning variables to the unknown prices and volumes of the toothpastes. Let x be the price per unit volume of Fresh, y be the price per unit volume of Glow, and z be the price per unit volume of Bright. Let v1 be the volume of Fresh, v2 be the volume of Glow, and v3 be the volume of Bright. From the information given in the problem, we can set up the following equations:

z = 1.6y (a tube of Bright is 60% more expensive than a tube of Fresh)

v3 = 0.75v2 (a tube of Bright has 25% less volume than Glow)

y = 0.75z (a tube of Glow is 25% less expensive than a tube of Bright)

v2 = v1 + 100/3 (a tube of Glow has 100/3 more volume than Fresh)

We can substitute the first equation into the second equation to eliminate z:

v3 = 0.75v2

(substitute v2 = 0.75z and v1 = 1)

0.75v2 = 0.75(0.75z + 100/3)

0.75v2 = 0.5625z + 25

(substitute z = 1.6y and v2 = v1 + 100/3)

0.75(v1 + 100/3) = 0.5625(1.6y) + 25

0.75v1 + 25/3 = 0.9y + 25

0.75v1 = 0.9y + 50/3

We can substitute the third equation into the fourth equation to eliminate y:

v2 = v1 + 100/3

(substitute y = 0.75z)

0.75z = 0.75(0.75y) + 100/3

z = y + 16/9

(substitute z = 1.6y)

1.6y = y + 16/9

y = 16/27

Therefore, the price per unit volume of Glow is 16/27 dollars, or 59.3 cents per unit of volume.

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The effective interest method is used to amortize the bond premium. The carrying value of the bond increases by the effective interest each period, and the premium is amortized over the life of the bond. The journal entry for bond issuance is as follows: Dr. Cash 205,000, Dr. Premium on Bonds Payable 5,000, Cr. Bonds Payable 210,000

The effective interest method is a method of amortizing bond premium or discount that takes into account the time value of money. The effective interest is the interest that would be earned if the bond were purchased at its market value and held to maturity. The carrying value of the bond increases by the effective interest each period, and the premium is amortized over the life of the bond.

The journal entry for bond issuance records the proceeds from the sale of the bonds, the premium on bonds payable, and the bonds payable. The proceeds from the sale of the bonds are equal to the face value of the bonds plus the premium.

The premium on bonds payable is a liability that represents the excess of the issue price of the bonds over their face value. The bonds payable account is a long-term liability that represents the amount that the company owes to the bondholders.

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Answer:

B) is the correct answer because the 5 shirts are supposed to be LESS THAN 55, hence the less than symbol.