At a restaurant, 8 plates are accidentally broken each day for a week (7 days). What number represents the change in the number of plates the restaurant has?

Answer:

An infinite sequence is a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integer s {1, 2, 3, ...}. Examples of infinite sequences are N = (0, 1, 2, 3, ...) and S = (1, 1/2, 1/4, 1/8, ..., 1/2 n , ...)

Answer: Hope this helps!

Step-by-step explanation: To solve this problem you should take into the following steps :

1) Subtract fractions correctly as a cross-product

2) Rewrite the second-degree polynomials correctly.

3) Cancel terms that have the same exponent.

4) Make algebraic sums correctly.

M=3

If every matchbox contains no more than 20% defective matches, then at least 80% of the matches in a box must be intact. The minimum number of intact matches in a 43-match box manufactured by that factory is 34.

To find the minimum number of intact matches in a 43-match box, we need to multiply 43 by 80% (or 0.8):
43 x 0.8 = 34.4
Since we can't have a fraction of a match, we round down to the nearest whole number. Therefore, the minimum number of intact matches in a 43-match box manufactured by that factory is 34.
In a 43-match box manufactured by that factory, no more than 20% of the matches can be defective. To find the minimum number of intact matches, we can calculate the number of defective matches and subtract it from the total.
20% of 43 matches = (20/100) * 43 = 8.6
Since there can't be a fraction of a match, we round up to the nearest whole number, which is 9 defective matches. Now, subtract the number of defective matches from the total:
43 matches - 9 defective matches = 34 intact matches
The minimum number of intact matches in a 43-match box manufactured by that factory is 34.

learn more about defective here:  https://brainly.com/question/14916815

#SPJ11

The statement is false because in a Poisson distribution, the probability of success does not vary from trial to trial.

The Poisson distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed time interval or spatial region, given the average rate of occurrence and assuming that the events are independent and random.

The Poisson distribution has only one parameter, λ, which represents the average rate of occurrence of the event.

The probability of observing k events in the interval is given by the Poisson probability mass function:

P(k) = (e^(-λ) * λ^k) / k!

where e is the base of the natural logarithm, and k is a non-negative integer.

The Poisson distribution assumes that the probability of observing an event at any given point in time or space is constant, and that the events are independent of each other.

To know more about Poisson distribution refer here:

https://brainly.com/question/30388228#

#SPJ11

The value of the correlation coefficient based on the provided R-squared is approximately 0.995562, indicating a strong positive linear relationship between leaf water potential and sap flow velocity for tree #2.

The correlation coefficient, denoted as "r," is a measure of the strength and direction of the linear relationship between two variables.

It ranges between -1 and 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

In the given least squares regression output, the value of R-squared (R-sq) is provided as 0.99115489.

R-squared represents the proportion of the total variation in the dependent variable that can be explained by the independent variable(s).

It is calculated as the squared value of the correlation coefficient (r).

To find the value of the correlation coefficient based on R-squared, we take the square root of R-squared:

r = √(R-sq)

Using the given value of R-squared (0.99115489), we can calculate the correlation coefficient:

r = √(0.99115489) ≈ 0.995562

For similar question on correlation.

https://brainly.com/question/29704223  

#SPJ11

Answer:

-3.72 is rational because it ends at the hundredths place

Step-by-step explanation:

Rational. A rational number either terminates at a point or repeats in a pattern forever.

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

It represents the product of two irrational numbers and is equivalent to rational number.

√3 and √12 are irrational numbers

But, √3×√12 =√36 = 6 which is rational. So your answer will be option A.

The percent of the field goals did Samuel make will be 77.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:

= 31 / 40 × 100

= 77.5%

The percentage is 77.5%.

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

Answer:

x = 2 or x = -4

Step-by-step explanation:

-5|x + 1| + 3 = -12

Add -3 to both sides.

-5|x + 1| = -15

Divide 5 into both sides.

|x+1| = 3

Possibility 1:

x + 1=3

x = 2

Possibility 2:

x + 1 = - 3

x = -4

Answer:

Step-by-step explanation:

This is our absolute value equation for which we want the values of x that make it true:

-5 | x + 1 | + 3 = -12. Subtracting 3 from both sides gives us

-5 | x + 1 | = = -15. Divide both sides by -5 to get

| x + 1 | = 3

This says, in words, "how many units from 3 is -1 on a number line?"

We have the following 2 equations:

x + 1 = 3 and x + 1 = -3

Solving the first one for x:

x = 2

Solving the second one for x:

x = -4

Both 2 and -4 are 3 units from -1 on a number line.

Answer:

0.004035

Step-by-step explanation:

I think this is right sorry if it isn't.

The gametes that can be produced by individual bgbg are B, and G, and the gametes that the offspring can produce are BB, BG, BG, BG, BG, BG, BG, and GG.

a. bgbg

The individual bgbg can produce gametes that are either B or G, as they carry one allele of each. Therefore, the gametes that can be produced by this individual are:

B, G

b. bbgg x bbgg

The individuals bbgg x bbgg are heterozygous for two different traits (B and G). In this cross, each parent can contribute either a B or a G allele to the offspring.

There are four possible combinations of gametes for each parent, for a total of 16 possible offspring combinations:

   BB x BB = B offspring: BB, BG, BG, BB

   BB x BG = B offspring: BB, BG, BG, BG

   BB x GG = B offspring: BG, BG, BG, BG

   BG x BG = B offspring: BG, BG, BG, BG

   BG x GG = G offspring: BG, BG, BG, GG

   GG x GG = G offspring: GG, GG, GG, GG

So, the gametes that can be produced by the offspring are:

BB, BG, BG, BG, BG, BG, BG, and GG

To know more about gametes, here

https://brainly.com/question/29600905

#SPJ4

Step-by-step explanation: 24-4+3=17

Answer:

-84

Step-by-step explanation:

Political sessions were attended by 707 representatives from all of South America.

Ratios: A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girl.

It has been reported that 8,475 persons attended a political event in South America.

The 12 nations and 3 territories of South America were equally

represented.

The proportion of attendees from each nation to the total number of

countries indicates the number of representatives who attended.

How many representatives there are is =

total number of attendees / total number of participating nations

8,475 / 12 = the number of representatives

There are 706.25 x 707 representations.

Consequently, 707 delegates from each nation attended political conferences.

To learn more about Ratios visit:

brainly.com/question/1504221

#SPJ4

Since their dot product is not equal to zero, then vectors (1,8) and (4, -2) are not normal to each other.

Two vectors are said to be normal or perpendicular to each other if the result of their dot product is equal to zero.

These two vectors are also called orthogonal to each other.

Let u = (u₁, u₂) and  v = (v₁, v₂), then the dot product u . v is defined as:

u . v = u₁v₁ + u₂v₂

To check whether the vectors are normal to each other, let us check their dot product.

The given vectors are: (1,8) and (4, -2).

Let u = (1, 8) and  v = (4, -2), then,

u . v = 1 . 4 + 8 . (-2)

       = 4 + (-16) = -12 (not equal to zero)

Since u.v ≠ 0, then (1,8) and (4, -2) are not normal to each other.

Learn more about normal vectors here:

https://brainly.com/question/3405164

#SPJ4

90,180 is the same as R so it is

The domain choice that is a possibility is A. A. Real numbers greater than 0.

A continuous function in mathematics is one in which a continuous variation of the argument causes a continuous variation of the function's value. This means that there are no abrupt changes in value, which are referred to as discontinuities.

Option A: Real numbers greater than zero:

Because real numbers are continuous functions, the greater than zero part of them can be used to represent the balance sheet.

Option B: Use only whole numbers: It is not possible.

Whole numbers are discrete, not continuous, and thus cannot represent decimal points.

Option C: Integers: Invalid

Because integers are discrete rather than continuous, they cannot represent decimal points.

Natural numbers are not an option.

Natural numbers, like whole numbers, are discrete rather than continuous and cannot represent decimal points.

In conclusion, the correct option is A.

Learn more about real number on:

https://brainly.com/question/155227

#SPJ1

The induced EMF in the square loop is -0.0045495 V at t=0.5s and -0.012932 V at t=1.0s.

To find the induced EMF in the square loop, we can use Faraday's Law of Electromagnetic Induction, which states that the induced EMF is equal to the negative time rate of change of magnetic flux through the loop:

ε = -dΦ/dt

The magnetic flux through the loop is given by the dot product of the magnetic field B and the area vector of the loop A:

Φ = ∫∫ B · dA

Since the loop is a square lying in the xy-plane, with sides of length 11 cm, and the magnetic field is given as B = (0.34t i + 0.55t² k) T, we can write the area vector as:

dA = dx dy (in the z direction)

A = (11 cm)² = 0.0121 m²

At t=0.5s, the magnetic field is:

B = 0.34(0.5) i + 0.55(0.5²) k = 0.17 i + 0.1375 k

Therefore, the magnetic flux through the loop at t=0.5s is:

Φ = ∫∫ B · dA = B · A = (0.17 i + 0.1375 k) · 0.0121 m² = 0.00227475 Wb

The induced EMF at t=0.5s is therefore:

ε = -dΦ/dt = -(Φ2 - Φ1)/(t2 - t1) = -(0.00227475 - 0)/(0.5 - 0) = -0.0045495 V

So the induced EMF at t=0.5s is -0.0045495 V.

Similarly, at t=1.0s, the magnetic field is:

B = 0.34(1.0) i + 0.55(1.0²) k = 0.34 i + 0.55 k

Therefore, the magnetic flux through the loop at t=1.0s is:

Φ = ∫∫ B · dA = B · A = (0.34 i + 0.55 k) · 0.0121 m² = 0.0084555 Wb

The induced EMF at t=1.0s is therefore:

ε = -dΦ/dt = -(Φ2 - Φ1)/(t2 - t1) = -(0.0084555 - 0.00227475)/(1.0 - 0.5) = -0.012932 V

So the induced EMF at t=1.0s is -0.012932 V.

Learn more about  induced EMF

brainly.com/question/16764848

#SPJ11

Answer:

e,q,u,a,t,i,n & EQUATIONYL

Step-by-step explanation:

K∩L:

First write both the words, equation and inequality down.

E Q U A T I O N

I N E Q U A L I T Y

You can see EQUATIN repeats in both of the words.

K∪L:

First write both the words, equation and inequality down.

E Q U A T I O N

I N E Q U A L I T Y

This time just write down all the letters EXCEPT the ones that repeat. EQUATIONYL

The elements of the set is given by

a) K ∩ L = {e, q, u, a, i, n, t}

b) K ∪ L = {e, q, u, a, t, i, o, n, l, y}

The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets

The intersection of two sets is a new set that contains all of the elements that are in both sets

Given data ,

K∩L is the set of all letters that appear in both "equation" and "inequality":

K∩L = {e, q, u, a, i, n, t}

K∪L is the set of all letters that appear in either "equation" or "inequality" or both:

K∪L = {e, q, u, a, t, i, o, n, l, y}

Hence , the sets are solved

To learn more about union and intersection of sets click :

https://brainly.com/question/28278437

#SPJ2

The answer is B. 2

The explanation is pretty simple. You look at the grids, the line and the height.

Therefore, the relative accuracy of features plotted on the map is 500 meters.

To calculate the relative accuracy of features plotted on the map in meters, we need to convert the given accuracy from millimeters to meters.

Given:

Relative accuracy = 90%

Accuracy within 5 mm

To convert millimeters to meters, we divide by 1000:

5 mm = 5/1000 = 0.005 meters

Relative accuracy can be defined as the ratio of the actual accuracy to the map scale. In this case, the map scale is given as 1:100,000, which means that one unit on the map represents 100,000 units in reality.

To calculate the relative accuracy in meters, we multiply the actual accuracy (0.005 meters) by the map scale (100,000):

Relative accuracy = 0.005 meters * 100,000 = 500 meters

To know more about relative accuracy,

https://brainly.com/question/32502032

#SPJ11

Answer:

x = 24

Step-by-step explanation:

Step 1 - get 'x' by itself

5x + 5 = 4x + 29

-4x   -5   -4x   -5

Step 2 - solve

x = 24

Check

5(24)+5 = 125

4(24)+29 = 125

Answer:

X=25

Step-by-step explanation:

5x+5=4x+29

-5 -4x

1x=25

The probability that both will be married before the age of 18 is 0.0036. The probability that both will be married by the age of 25 is 0.25. Finally, the probability that both will be married by the age of 30 is 0.5476.

According to the brief report by NCHS, approximately 6% of women in the United States married for the first time before their 18th birthday, and 50% of women married by their 25th birthday. 74% of women married by their 30th birthday.The probability of a family with two daughters marrying at different ages is asked in the question. The probability that both daughters will be married by the ages of 18, 25, and 30 will be determined

The question requires finding the probability that both daughters of a family will be married by the ages of 18, 25, and 30 respectively. Since each daughter's wedding is a separate event, the individual probability of a daughter marrying at a given age will be determined separately and then multiplied together to get the probability of both daughters being married at the given age. So, let's find the probabilities of each daughter marrying at a given age:

Probability of one daughter getting married by 18 years:

As per the brief report, 6% of women in the United States married before the age of 18.

Therefore, the probability of one daughter getting married before the age of 18 is 0.06

Probability of one daughter getting married by 25 years:

As per the brief report, 50% of women in the United States get married by the age of 25. Therefore, the probability of one daughter getting married by 25 years is 0.5.

Probability of one daughter getting married by 30 years:

As per the brief report, 74% of women in the United States get married by the age of 30. Therefore, the probability of one daughter getting married by 30 years is 0.74.

The probability of both daughters getting married at the same age is the product of each daughter's probability of getting married at that age.

The probability that both daughters will get married before the age of 18 is:

P(both daughters married at 18 years) = P(daughter1 married at 18) × P(daughter2 married at 18)= 0.06 × 0.06= 0.0036

The probability that both daughters will get married by the age of 25 is:

P(both daughters married at 25 years) = P(daughter1 married at 25) × P(daughter2 married at 25)= 0.5 × 0.5= 0.25

The probability that both daughters will get married by the age of 30 is:

P(both daughters married at 30 years) = P(daughter1 married at 30) × P(daughter2 married at 30)= 0.74 × 0.74= 0.5476

The probability that in a family with two daughters, both will be married before the age of 18 is 0.0036. The probability that both daughters will be married by the age of 25 is 0.25. Finally, the probability that both daughters will be married by the age of 30 is 0.5476.

To know more about probability visit:

brainly.com/question/31828911

#SPJ11

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

1 and 54

2 and 27

3 and 18

6 and 9

Step-by-step explanation:

Answer:

Multiple Possibilities:

1 x 54

2 x 27

3 x 18

6 x 9

Step-by-step explanation:

Answer:

45.625cm²

Step-by-step explanation:

To solve this, we need to do the area of the circle - the area of the rectangle:

Area of the circle

a = πr² (r is the radius, half the diameter)

a = π × 4²

a = π × 16

a = 16π or 50.265cm²

Area of the rectangle

a = length × width

a = 5 × 1

a = 5cm²

50.265 - 5 = 45.265

Hope this helps!

Answer:

= - 9/8

Step-by-step explanation:

(-13/5) * x = 117/40    multiply both sides by  - 5/13

     x =  117 / 40  *  - 5/13  = - 9/8