for merino wool, the average number of defects in a square foot of fabric is 0.7. find the probability that a randomly selected square foot of wool will contain more than one defect.

Answer:

Hence,

a=19,b=19,c=3

a=11,b=7,c=23

Step-by-step explanation:

\(Let\ their\ ages\ be\ a,b\ and\ c\ respectively, where\ a,b,c\ are\ primes\\Hence,\\a+b+c=41\\b-c=16\\Listing\ out\ all\ the\ primes\ from\ 0\ to\ 41\ we\ get:\\2,3,5,7,11,13,17,19,23,29,31,37,\\Hence,\\Lets\ seperate\ out\ the\ primes\ who\ differ\ by\ 16 :\\3\ and\ 19, 7\ and\ 23\ ,\)

Hence,

\(Lets\ consider\ this\ set\ as\ b,c:\\Hence,\\To\ find\ a \\a=41-(b+c)\\Hence, By\ doing\ this\ indiviually\ we\ get:\\\)

\(a=41-(19+3)\\a=41-22\\a=19\\Hence, a=19,b=19,c=3\)

\(a=41-(23+7)\\a=41-30\\a=11\\Hence, a=11,b=7,c=23\)

Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

(  43 + 25  ) X  8

Step-by-step explanation:

Add 43 and 25, and then multiply by 8.

Answer:

1, 3, 7, 21

Step by step explanation:

Answer:

1

3

7

21

^^Factors : )

Step-by-step explanation:

The equation of the plane is ⟨0, 0, -xt, -y⟩. ⟨(x-1), y, z, t⟩ = 0.

Given that the equation for the line is x, y, z, t.

The equation for the plane perpendicular to the given line can be calculated as follows:

Firstly, we know that the vector which is perpendicular to both the line and the plane is the direction of the plane.

Hence the direction of the plane is the cross product of the vector with the given line direction:⟨1, 0, 0, 0⟩ × ⟨x, y, z, t⟩= ⟨0t - 0z, 0z - 0t, 0y - xt, 0x - y⟩= ⟨0, 0, -xt, -y⟩Hence the direction of the plane is ⟨0, 0, -xt, -y⟩.

Now, we need to find any point (x0, y0, z0, t0) on the plane.

Let's assume that the point is (1, 0, 0, 0) since it lies on the line.

Then the equation of the plane can be obtained as:⟨0, 0, -xt, -y⟩ .

⟨(x-x_0), (y-y_0), (z-z_0), (t-t_0)⟩ = 0⟨0, 0, -xt, -y⟩ . ⟨(x-1), y, z, t⟩ = 0

The equation of the plane perpendicular to the line x, y, z, t is given as ⟨0, 0, -xt, -y⟩. ⟨(x-1), y, z, t⟩ = 0.

Therefore, the equation of the plane is ⟨0, 0, -xt, -y⟩. ⟨(x-1), y, z, t⟩ = 0.

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Answer:

D.

Step-by-step explanation:

Answer:

its definitely D hope I helped

The symmetrical interval that includes 93% of the sample means is (3.2455 gallons per month, 3.5545 gallons per month) assuming the population follows a normal distribution.

To calculate the probabilities and identify the symmetrical interval, we'll use the provided information:

Given:

Population mean (μ) = 3.4 gallons per month

Population standard deviation (σ) = 0.85 gallons per month

Sample size (n) = 100

a. Probability that the sample mean will be less than 3.3 gallons per month: To calculate this probability, we need to use the sampling distribution of the sample mean, assuming the population follows a normal distribution. Since the sample size (n) is large (n > 30), we can approximate the sampling distribution as a normal distribution using the Central Limit Theorem. The mean of the sampling distribution is equal to the population mean (μ), which is 3.4 gallons per month. The standard deviation of the sampling distribution, also known as the standard error (SE), can be calculated as σ / √n:

SE = σ / √n

= 0.85 / √100

= 0.085 gallons per month

Now, we can calculate the z-score using the formula:

z = (x - μ) / SE

Substituting the values:

z = (3.3 - 3.4) / 0.085

= -0.1 / 0.085

= -1.1765

Using a standard normal distribution table or calculator, we can find the probability corresponding to a z-score of -1.1765. The probability that the sample mean will be less than 3.3 gallons per month is approximately 0.1190. Therefore, the probability is 0.1190.

b. Probability that the sample mean will be more than 3.6 gallons per month:

Similarly, we can calculate the z-score for this case:

z = (x - μ) / SE

= (3.6 - 3.4) / 0.085

= 0.2 / 0.085

= 2.3529

Using a standard normal distribution table or calculator, we find the probability corresponding to a z-score of 2.3529. The probability that the sample mean will be more than 3.6 gallons per month is approximately 0.0096.

Therefore, the probability is 0.0096.

c. Identifying the symmetrical interval that includes 93% of the sample means:

To find the symmetrical interval, we need to determine the z-scores corresponding to the tails of 93% of the sample means.

Since the distribution is symmetrical, we can divide the remaining probability (100% - 93% = 7%) equally between the two tails.

Using a standard normal distribution table or calculator, we find the z-score corresponding to a tail probability of 0.035 on each side. The z-score is approximately 1.8125.

The symmetrical interval is then given by:

=μ ± z * SE

=3.4 ± 1.8125 * 0.085

=(3.4 - 1.8125 * 0.085, 3.4 + 1.8125 * 0.085)

=(3.4 - 0.1545, 3.4 + 0.1545)

=(3.2455, 3.5545)

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Answer:

92%

Step-by-step explanation:

To convert a fraction to a percent, you can divide the numerator by the denominator to end up with a decimal, in this case 0.92. Then, to convert to a percent, move the decimal two places to the left. As a result, we have 92%.

hope this helps!

Answer:

2x+4+2y+10=4

2x+2y=4-10-4

2(x+y)=-10

x+y=-10/2

x+y=-5

x+2x+1=-5

3x=-6

x=-6/3

x=-2

Answer:

$30.31

Step-by-step explanation:

In order to find the answer, you would need to add $23.66 plus $6.65.

Hope this helps and pls do mark me brainliest if you can:)

I would have to say $30.31 because you would add both those together!!!

Answer:

Attached to this answer are some of the ways you could rewrite \(4*10^{-3}\)

Using percentages we know that the value of a car decreases by 34% on average.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred.

A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

The symbol "%" is frequently written after the number to indicate percentages.

So, we know that:
Annie brought a car at: $32000

Current price of the car: $21000

The decline in car percentage:

21000/32000 * 100

65.625%

⇒ 100 - 65.625 = 34.375%

Rounding off: 34%

Therefore, using percentages we know that the value of a car decreases by 34% on average.

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Complete question:
Annie bought a brand-new car for $32,000. The car is now worth $21,000.

By what percentage does the car's worth decrease?

Answer:

27

Step-by-step explanation:

First, we convert 18 ft to inches.

18 × 12 in. = 216 in.

Now we divide 18 ft written as 216 in. by 8 in.

216 in. / 8 in. = 27

Answer: 27

Skate Fest's event will cost 200 plus three times that amount. The price of the Roller Rama event can be expressed as 5x.

The mathematical statement 200 + 3x, where x represents the quantity of students attending the event, can be used to calculate the cost of Skate Fest. This amounts to the $200 set cost plus an extra $3 for each skater. The mathematical equation 5x, where x is the number of kids attending the event, can be used to indicate the cost of the Roller Rama event. This equates to $5 for each skater. The director can evaluate whether skating rink is more economical based on the amount of students attending the event by contrasting these two statements. An event is a planned and choreographed occurrence, such a social gathering or sporting competition. The three-day competition's cross-country portion was held here yesterday.

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The required answer is the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

Explanation:-

a. Economic order quantity (EOQ) is defined as the optimal quantity of inventory to be ordered each time to reduce the total annual inventory costs.

It is calculated as follows: EOQ = sqrt(2DS/H)

Where, D = Annual demand = 100 x 52 = 5200S = Order cost = $57 per order H = Annual holding cost = 0.30 x 10.75 = $3.23 per bag per year .Therefore, EOQ = sqrt(2 x 5200 x 57 / 3.23) = 234 bags. The average time between orders (TBO) can be calculated using the formula: TBO = EOQ / D = 234 / 100 = 2.34 weeks ≈ 2 weeks (rounded to nearest whole number).

Hence, the EOQ is 234 bags and the average time between orders is 2 weeks (approx).b. R is the reorder point, which is the inventory level at which an order should be placed to avoid a stockout.

It can be calculated using the formula:R = dL + zσL

Where,d = Demand per day = 100 / 5 = 20L = Lead time = 1 week (5 working days) = 5 day

z = z-value for 92% cycle-service level = 1.75 (from standard normal table)σL = Standard deviation of lead time demand = σ / sqrt(L) = 16 / sqrt(5) = 7.14 (approx)

Therefore,R = 20 x 5 + 1.75 x 7.14 = 119.2 ≈ 120 bags

Hence, the reorder point R should be 120 bags.c. An inventory withdraw of 10 bags was just made. Is it time to reorder?The current inventory level is 310 bags, which is greater than the reorder point of 120 bags. Since there are no open orders or backorders, it is not time to reorder.d. The store currently uses a lot size of 500 bags (i.e., Q = 500).What is the annual holding cost of this policy.

Annual ordering cost. Without calculating the EOQ, how can you conclude the lot size is too large?Annual ordering cost = (D / Q) x S = (5200 / 500) x 57 = $592.80 per year.

Annual holding cost = Q / 2 x H = 500 / 2 x 0.30 x 10.75 = $806.25 per year. Total annual inventory cost = Annual ordering cost + Annual holding cost= $592.80 + $806.25 = $1,399.05Without calculating the EOQ, we can conclude that the lot size is too large if the annual holding cost exceeds the annual ordering cost.

In this case, the annual holding cost of $806.25 is greater than the annual ordering cost of $592.80, indicating that the lot size of 500 bags is too large.e.

The annual cost saved by shifting from the 500-bag lot size to the EOQ can be calculated as follows:Total cost at Q = 500 bags = $1,399.05Total cost at Q = EOQ = Annual ordering cost + Annual holding cost= (D / EOQ) x S + EOQ / 2 x H= (5200 / 234) x 57 + 234 / 2 x 0.30 x 10.75= $245.45 + $93.68= $339.13

Annual cost saved = Total cost at Q = 500 bags - Total cost at Q = EOQ= $1,399.05 - $339.13= $1,059.92

Hence, the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

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Answer:

h = 19.6 ft

Step-by-step explanation:

Given that,

A 20 ft ladder 4ft from the base of the wall.

The height of the ladder, H = 20 ft

The base distance, b = 4 ft

We need to find the height of the reach. Let it is P.

Using Pythagoras theorem,

\(H^2=b^2+P^2\\\\P=\sqrt{H^2-b^2}\\\\P=\sqrt{20^2-4^2}\\\\=19.59\ ft\)

or

P = 19.6 ft

So, the height is 19.6 ft.

Answer:

Line A and Line C are parallel.

Step-by-step explanation:

The linear approximation of the function at the indicated point is as follows: F(x,y) = x -5y - 1

The linear approximation of a function is nothing more than estimating the value of the function at a location using a line. When we see a curve (of a function) with a point on it, we recall the idea of the tangent line. If we determine the equation of the tangent line at the given position, the value of the function at any location extremely near to the given point can be estimated using the equation of the tangent line. Since the tangent line is used in this process, the idea is also referred to as the "tangent line approximation" or "linear approximation."

How to solve?

In this case, our goal is to locate the linear approximation of the provided function at the stated location.

We start by replacing the values, then determine the partial derivative with regard to x and finally y.

We now sum these values, having first substituted the x and y values into the differentiated partial equation. The findings are then added up.

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A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.

The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.

Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.

In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.

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Answer: You can also use an inch fraction calculator to quickly find the decimal value for an inch fraction. For example: 3/8 = 3 ÷ 8 = .375 inches. Convert feet to inches by ...

Step-by-step explanation:

Answer:

I got banned :(

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

division and multiplication doesnt work

Answer:

first term = 2 ...(given)

second term = f (2) = f (2-1) * 5 = 1 * 5 = 5. .....[according to the formula f(n) = f (n -1) *5 ]

third term = f (3) = f ( 3 - 1 ) * 5 = 2 * 5 = 10

fourth term = f (4) = f (4 - 1) * 5 = 3 * 5.= 15

fivth term = f (5) = f ( 5 - 1) * 5 = 4* 5. =20

The expected value for the binomial distribution with the provided probabilities is approximately 1.29888.

To find the expected value for the binomial distribution, we multiply each possible outcome by its corresponding probability and sum them up. In this case, we have the following outcomes and probabilities:

Successes: Probability:

0 243/3125

1 162/625

2 216/625

3 144/625

4 48/625

5 32/3125

To calculate the expected value, we multiply each outcome by its probability and sum them up:

Expected value = (0 * 243/3125) + (1 * 162/625) + (2 * 216/625) + (3 * 144/625) + (4 * 48/625) + (5 * 32/3125)

Simplifying this expression gives us:

Expected value = 0 + 0.26016 + 0.6912 + 0.27648 + 0.0384 + 0.03264

Expected value = 1.29888

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Answer:

\(y=\frac{-1}{6}x-\frac{10}{3}\)

Step-by-step explanation:

Slope intercept form of the equation of a line is \(y=mx+b\) where m denotes the slope of line and \(b\) denotes the y-intercept.

Equation of a line u is \(y=6x+6\)

Here, slope of line u = m = 6

As the line v is perpendicular to line u, product of slopes of both the lines is equal to \(-1\).

Slope of line v  \(=\frac{-1}{6}\)

So, slope intercept form of the line v is \(y=\frac{-1}{6}x+b\)

As point \((10,-5)\) lies on the line v, put \((x,y)=(10,-5)\) in equation \(y=\frac{-1}{6}x+b\)

\(-5=\frac{-1}{6}(10)+b\\-5=\frac{-5}{3}+b\\ -5+\frac{5}{3}=b\\\frac{-15+5}{3}=b\\\\\frac{-10}{3}=b\)

Equation of line v is \(y=\frac{-1}{6}x-\frac{10}{3}\)

The area of the commune's summer-autumn rice crop is approximately 570,041.902 square meters. ( rounded to the third decimal place)

To calculate the area of the commune's summer-autumn rice crop, we need to multiply the total area of the commune by the percentage of the area used to grow rice.

First, we need to convert the area from hectares to square meters since the percentage is based on the total land area in square meters.

1 hectare = 10,000 square meters

So, 81.5 hectares = 81.5 x 10,000 = 815,000 square meters

Next, we can calculate the area of the rice crop:

57/81.5 = 0.699386503

0.699386503 x 815,000 = 570,041.902 square meters

Rounding to the third decimal place, the area of the commune's summer-autumn rice crop is approximately 570,041.902 square meters.

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Answer:

522

Step-by-step explanation:

volume of plastic needed=  4/3 πr^3

= 4/3*3.14*125

=522.025

=522 in^3

Using inequalities we know that x=68 and x=66 respectively.

A mathematical phrase in which the sides are not equal is referred to as being unequal.

In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

So, solve the inequalities as follows:

x+3>70

x>70-3

x>67

Then, it will be x = 68.

Then,

x+3<70

x<70-3

x<67

Then, it will be s = 66.

Therefore, using inequalities we know that x=68 and x=66 respectively.

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Answer:

the answer will be X=8

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

The triangles are similar (they share an angle and sides are marked as in ratio to one another).

Therefore (6x+1)=(9x-23)

6x+1=9x-23

1+23=9x-6x

3x=24

x=8