the probability that anthony is on time for work is 0.90. the probability that anthony takes the train to work is 0.80. given that anthony takes the train to work, the probability that he is on time is 0.95. what is the probability that anthony is on time for work and takes the train?

The answer to the equation (5+12i) + (7-5i) is found to be 12-7i.

The provided equation is a simple algebraic relation between two complex numbers.

The given complex numbers are 5+12i and 7-5i.

We have to add these two complex numbers.

We will add the real part of the complex number to the real part and complex part of one complex number to the complex part of the complex number.

Sum of number = (5+12i) + (7-5i)

Sum of number = 12-7i

The sum of the two complex numbers is also complex number that has a real part has 12 and the imaginary or the complex part as -7.

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Answer: 22k

Step-by-step explanation:

The solution to the equation is k = 2/9

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

3 ( 2k + 3 ) = 6 - ( 3k - 5 )   be equation (1)

On simplifying , we get

3 ( 2k ) + 9 = 6 - 3k + 5

6k + 9 = 11 - 3k

Adding 3k on both sides , we get

9k + 9 = 11

Subtracting 9 on both sides , we get

9k = 2

Divide by 9 on both sides , we get

k = 2/9

Therefore , the value of k is 2/9

Hence , the solution is k = 2/9

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that the probability of selecting 4 vials with hairline cracks is approximately 0.0375, or 3.75%

We can solve this problem using the hypergeometric distribution, which is used when sampling without replacement from a finite population. In this case, we have a population of 66 vials, out of which 14 are good (do not have hairline cracks) and 52 are bad (have hairline cracks). The probability of selecting all 4 bad vials (with hairline cracks) can be calculated as follows: P(4 bad vials) = (number of ways to choose 4 bad vials) / (total number of ways to choose 4 vials)

The number of ways to choose 4 bad vials from 52 is: C(52,4) = 52! / (4! × (52-4)!) = 270725

The total number of ways to choose 4 vials from 66 is: C(66,4) = 66! / (4! × (66-4)!) = 7219420

Therefore, the probability of selecting all 4 bad vials is: P(4 bad vials) = 270725 / 7219420 = 0.0375

This means that the probability of selecting 4 vials with hairline cracks is approximately 0.0375, or 3.75%

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Answer:

70%

Step-by-step explanation:

The area of the Taj Mahal is 9092.16 square meters (97,890.56 square feet).

The quantity of square units required to completely cover a square is known as the area of a square. The territory that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. The measurement is made using square units, with square meters serving as the standard unit.

The Taj Mahal has an area of 9092.16 square meters (97,890.56 square feet). We utilise the formula for calculating the area of a square, which is length x width. The Taj Mahal's length and width are both 95.4 metres, therefore we just multiply these two values together. 9092.16 square meters = 95.4 × 95.4 square meters (97,890.56 square feet). This is the Taj Mahal's area.

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Sullivan received half as many candy as Carter did, or half as many candies as Sullivan received.

" Amount is defined as the representation of total quantity of given object."

According to the question,

Number of candies Sullivan got = s

Number of candies Carter got = 2s

Compare the given amount of data we get,

Number of candies Carter got = 2(Number of candies Sullivan got )

This shows Carter got twice number of candies comparison to Sullivan.

or

Number of candies Sullivan got = 1/2 (Number of candies Carter got)

Sullivan got half number of candies compare to Carter.

Hence, we conclude Carter got twice number of candies in comparison to Sullivan or Sullivan got half number of candies compare to Carter.

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Answer:

Step-by-step explanation:

are two rectangles, one has sides of 6 and 19 and one has sides of 9 and 7, we find the two areas with the formula A = L x W and add them, all as in the expression:

remember PEMDAS

6 × 19 + 9 × 7 =

114 + 63 =

177 mi²

Answer:

I think it's

Step-by-step explanation:

usually involves reading the pattern on the table while keeping in mind that x goes on top and y on

The circumference of a circle with a diameter of 26 feet is approximately 81.64 feet.

What is the circumference?

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its center. A meridian is any great circle passing through a point designated as a pole.

The formula for the circumference of a circle is 2 * π * r, where r is the radius of the circle.

To find the circumference, we first need to find the radius of the circle.

The diameter of the circle is 26 feet, so the radius can be calculated by dividing the diameter by 2:

r = 26 feet / 2 = 13 feet

Now that we know the radius, we can find the circumference:

C = 2 * π * r = 2 * 3.14 * 13 = 81.64 feet

Therefore, the circumference of a circle with a diameter of 26 feet is approximately 81.64 feet.

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Answer:

Lower Quartile = 13 min; Upper Quartile = 27 min

Step-by-step explanation:

Since we have the median, we now separate the data equally to the left and right of the median.

Thus, on the left (lower) portion we have 10, 11, 13, 18, and 19.  We see 13 is the middle term of these 5 values so 13 is the lower quartile (Q1).

Similarly, one the right (upper) portion, we have 22, 25, 27, 30, and 32.  We see 27 is the middle term of these 5 values so 27 is the upper quartile (Q3)

A general formula to describe is F = 1.6×d² will be correct answer.

A relationship is considered proportional if the ratio remains constant. For instance, the average number of apples produced per tree is a measure of proportionality, and the number of trees in an orchard is inversely related to the number of apples produced in a harvest. When two quantities are proportionate with one another, then expand and contract at the same pace, keeping the relationship constant.

Finding the general formula we obtain:

F=kd²

40=k×5²

k=1.6

so, F =1.6×d².

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Answer:

6.9x10^20

Step-by-step explanation:

688588478685758486759+2345678909876545355=

6.90934158E20

Step-by-step explanation:

Shawns party will cost $16 if there are 8 guest

The required formula that describes the given variation is F = 1.6d².

The general formula to describe the variation that F is directly proportional to the square of d is F = kd²,

where k is a constant of proportionality.

To determine the value of k, we can use the given information that F = 40 when d = 5:

40 = k(5)²

40 = 25k

k = 40/25

k = 1.6

Substituting this value of k into the general formula, we get:

F = 1.6d²

Therefore, the formula that describes the variation is F = 1.6d².

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At least number of students who must have signed up to have all nine clubs is equal to 207.

Number of clubs school going to start after school = 9 clubs

At least number of students need to sign up in each one of the club is equal to 23 students.

At least number of students need to sign up to have all in nine clubs is equal to :

At least number of student in 1 club  > 23

⇒ At least number of student in 9 club  > 23 × 9

At least number of student in 9 club  > 207

Therefore, at least number of students need to signed up to have in all nine given clubs are 207 students.

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The ordered pairs (21, 0) and (6, -4) are the solutions to the given inequality.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is y<2/7x-5.

Here,

Put (x, y)=(21, 0) in the given inequality, we get

0<2/7(21)-5

0<1

So, it is solution

Put (x, y)=(6, -4) in the given inequality, we get

-4<2/7(6)-5

-4<12/7-5

-4<1.7-5

-4<-3.3

So, it is solution

Put (x, y)=(0, -5) in the given inequality, we get

-5<2/7(0)-5

-5<-5

Which is not true, it is not a solution

Put (x, y)=(7, -3) in the given inequality, we get

-3<2/7(7)-5

-3<-3

Which is not true, it is not a solution

Therefore, the ordered pairs (21, 0) and (6, -4) are the solutions to the given inequality.

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no

4x6=24

24x1=24

hence 24 is the lowest common multiple , i hope this helped xx

a. It should be noted that c(10) represents the number of cars sold in the 10th month.

b. c(16) - c(8) represents the number of cars sold in the 16th month minus the number of cars sold in the 8th month. This difference could represent the net change in the number of cars sold between those two months.

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. The process of evaluating a function is typically straightforward when we have the function in the form of a formula.

In this case, c(10) represents the number of cars sold in the 10th month.

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To convert a percentage to a decimal, divide the percentage by 100, The correct answer is B. 0.609.

When the decimal places in the factors are tallied together, they equal the number of decimal places in the product. A decimal number is one with a whole and a fraction part separated by a decimal point.

A base-10 representation of numeric values is used in the decimal numbering system. The system is widely used in daily life to complete routine tasks like grocery shopping, stock trading, keeping track of football scores, or scrolling through cable channels. Decimal numbers include 7, 28, 199, and 532.11.

To convert a percentage to a decimal, divide the percentage by 100.

So, 60.9% as a decimal would be:

60.9 / 100 = 0.609

Therefore, The correct answer is B. 0.609.

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Answer:

89

Step-by-step explanation:

903 - 814 =

= (900 + 3) - (800 + 14) =

= 900 + 3 - 800 - 14 = 100 - 11 =

= 89

The only possible solution for system is A = 2, B = 1, and C = 3, which means Thutmose got the emperor size crown and cloak, Kamose got the prince size cloak and king size crown, and Ahmose got the king size cloak and prince size crown.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Let's us consider the sizes of the cloaks by C (prince), B (king), and A (emperor)

The sizes of the crowns by 1 (prince), 2 (king), and 3 (emperor).

Now let us write the following system of inequalities:

B > C

A > B

3 = C (Thutmose's crown matches Kamose's cloak)

2 > C

A > 3

A > 2 (Thutmose's crown is larger than the king size crown)

From the fifth inequality, we know that Thutmose's cloak is the largest of all three cloaks, so A must equal C.

Therefore, we can simplify the system of inequalities to:

B > C, A > B, C = 3, 2 > C, A > 3 and A > 2

Hence, the only possible solution for system is A = 2, B = 1, and C = 3, which means Thutmose got the emperor size crown and cloak, Kamose got the prince size cloak and king size crown, and Ahmose got the king size cloak and prince size crown.

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A system of equations that could be used to find the length (in hours) of each type of workout

7a + 9b = 12

5a + 3b = 6

Solve this system of equations by multiplying both sides of one of the equation so that when the equations are added or subtracted there will only be one variable.

-I will multiply both sides of the 2nd equation by -3

-3*(5a + 3b) = 6*-3

-15a - 9b = -18

-Now I will get rid of the variable b by adding the two equations together.

      7a + 9b = 12

+   -15a - 9b = -18

     -8a = -6

a = -6/-8

a= 3/4 (45 minutes)

-Now plug 3/4 into one of the original equations as a to solve for b.

-I will use the 2nd original equation.

5a + 3b = 6

5(3/4) + 3b = 6

15/4 + 3b = 6

3b = 9/4

b = 9/12 = 3/4 (45 minutes)

Both workout plans last the same amount of time.

Plan A lasts 45 minutes.

Plan B lasts 45 minutes.

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10% of the next 10 people Liz sees would be expected to be wearing sandals.

Liz is recording what kinds of shoes people are wearing at the mall. sandals 2 sneakers 12 high heels 6 Considering this data.

We have to determine how many of the next 10 people Liz sees would you expect to be wearing sandals.

Since 12 out of the 20 people Liz has seen were wearing sneakers, and 6 were wearing high heels, then 2 must have been wearing sandals.

Then, Expect to be wearing sandals = Number of people wearing sandals/Total number of records

Expect to be wearing sandals = 2/20 × 100

Expect to be wearing sandals = 1/10 × 100

Expect to be wearing sandals = 10%,

So 10% of the next 10 people Liz sees would be expected to be wearing sandals.

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David biked [tex]7\frac{1}{2}[/tex] miles farther on Tuesday than on Wednesday.

We are given that David biked [tex]12\frac{7}{8}[/tex] miles on Tuesday and [tex]5\frac{3}{8}[/tex] miles on Wednesday.

In order to find the number of miles David biked farther on Tuesday than on Wednesday, we will subtract the miles biked by him on Wednesday from the miles biked by him on Tuesday as follows -

[tex]12\frac{7}{8} - 5\frac{3}{8}[/tex]

So, first, we will subtract the whole number of parts as follows -

12-5 = 7

Then, we will subtract the fractional parts as follows -

7/8 - 3/8 = 4/8 = 1/2

so we get,

[tex]12\frac{7}{8} - 5\frac{3}{8} = 7\frac{1}{2}[/tex]

Therefore, David biked [tex]7\frac{1}{2}[/tex] miles farther on Tuesday than on Wednesday.

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The rule for the given geometric sequence as required to be determined is; a (n) = 64 (-1/2)^(n-1).

By observation, the first term of the sequence is; 64.

Also, the common ratio of each successive terms is as follows;

-32 / 64 = 16 / -31, -8 / 16 = -1/2.

On this note, the ratio is; -1/2.

Consequently, it follows that the answer choice which correctly represents the rule for the geometric sequence is; an = 64(-1/2)^n-1.

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The number of hours that the prices of the two stocks be the​ same will be 4 hours.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

Let 'x' be the number of hours and 'y' be the price of stocks. Then the equations are written as,

y = 13.52 + 0.05x           ...1

y = 14.27 - 0.14x             ...2

From equations 1 and 2, then we have

13.52 + 0.05x = 14.27 - 0.14x

0.14x + 0.05x = 14.27 - 13.52

0.19x = 0.75

x = 3.947 ≈ 4 hours

The number of hours that the prices of the two stocks be the​ same will be 4 hours.

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The volume of the cylinder is approximately 1413.7 cubic centimeters.

The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height or length of the cylinder.

Since the base of the cylinder has a diameter of 9cm, the radius is half of that, or r = 4.5cm.

The length of the cylinder is given as 20cm.

Therefore, the volume of the cylinder is:

V = πr²h

= π(4.5)²(20)

= 1413.72 cubic centimeters (rounded to 1 decimal place)

Thus, the volume of the cylinder is approximately 1413.7 cubic centimeters.

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Complete question:

Calculate the volume of this cylinder. give your answer to 1 decimal place. Base is 9cm. Length is 20cm.

The first four terms and the stated term, with an as the first term, are given the arithmetic sequence: 11 + 9n, a6.

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