The table shows the educational attainment of the population of​ Mars, ages 25 and​ over, expressed in millions. Find the probability that a randomly selected​ martian, aged 25 and over has not completed four years​ (or more) of college.

Answer:

i would say around 61.54%

Step-by-step explanation:

maybe simplify it

The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.

To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.

First, let's find the interest amount:

Interest = Principal x Interest Rate x Time

Given:

Principal = $4650

Interest Rate = 2% per year

Time = 2 months

Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.

Interest = $4650 x 0.02 x (1/6) = $15.50

Now, we can calculate the total principal and interest payment:

Total Payment = Principal + Interest

Total Payment = $4650 + $15.50 = $4665.50

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Answer: He pays $1.05 in tax

Step-by-step explanation: You multiply 7% by 15.00 (15.00 x 7%) and then you get your tax. If it asks how much the cost is plus tax, you just add the number you got by multiplying 15 by 7 and to the original price, $15.00.

Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

By AAS congruency the two triangles are congruent

The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

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Answer:

13, 17, 19

Step-by-step explanation:

Go through (12-20) and find the multipliers for each number.

13 = 13 x 1

14 = 7 x 2 , 14 x1 = no

15 = 5 x 3, 15 x 1 = no

17 = 17 x 1

18 = 6 x 3, 9 x 2, 18 x 1 = no

19 = 19 x 1

The missing parts to make each number sentence true is; *(x+6)=(2)(x)+(6)(2)

Missing numbers are those that were omitted from the offered series of numbers with comparable discrepancies. To Find similar differences between the missing numbers and adding their missing values to the appropriate series is how the missing numbers are written.

For an example , Children are frequently asked to solve number sentences, which are compositions of numbers and mathematical processes.

The Number phrases contain the following:

2*(x+6)=(2*?)+(?*6)

We can write as;

2*(x+6)=(2)(x)+(6)(2)

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Answer:

2(3+4x)

Step-by-step explanation:

Path A-B-C-E represents the distance traveled, which is 18 meters.

Path A-G-C-E represents the displacement, which is 17 meters.

From the given figure, we can identify the paths and calculate the distance and displacement.

Path A-B-C-E represents the distance traveled, and path A-G-C-E represents the displacement.

Let's calculate the lengths of both paths:

Distance traveled (Path A-B-C-E):

Length of AB = 9m

Length of BC = 3m

Length of CE = 6m

Total distance traveled = Length of AB + Length of BC + Length of CE

= 9m + 3m + 6m

= 18m

Therefore, the distance traveled along path A-B-C-E is 18 meters.

Displacement (Path A-G-C-E):

Length of AG = 5m

Length of GC = 6m

Length of CE = 6m

Total displacement = Length of AG + Length of GC + Length of CE

= 5m + 6m + 6m

= 17m

Therefore, the displacement along path A-G-C-E is 17 meters.

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Answer:

Step-by-step explanation:

Let the ratios be 2x and 7x respectively.  

Now,

2x + 7x = 18

= 9x = 18

= x = 18/9

= x = 2

Hence, 2x = 2*2 = 4

And, 7x = 7*2 = 14

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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Answer:

Substract by 2: n+8, 2n+8, 2n+8

Divide by 2: (n+8)/2, (n+8)/2, (n+8)/2

Step-by-step explanation:

We will determine the slope-intercept form of the points as follows:

First, we recall that the slope intercept form of a line is given by the expression:

Where (x1, y1) & (x2, y2) are two points of the line, then:

So, the equation of the line in slope intercept form is:

Answer: 2.77

The expected value is positive, so you expect to gain on average $2.77 per draw.

================================================

Explanation:

Define two events

W = winning = getting a card 4 or less

L = losing = getting 5 or higher

P(W) = probability of winning

P(W) = 12/52 since there are 12 cards that are four or less out of 52

P(W) = 3/13 for any suit of 13, there are 3 cards that are four or less

P(L) = 1-P(W)

P(L) = 1-3/13

P(L) = 13/13 - 3/13

P(L) = 10/13

V(W) = net value of winning

V(W) = 162

V(L) = net value of losing

V(L) = -45

------------------

E(X) = expected value

E(X) = P(W)*V(W) + P(L)*V(L)

E(X) = (3/13)*162 + (10/13)*(-45)

E(X) = 36/13

E(X) = 2.76923076923077

E(X) = 2.77 rounding to two decimal places (to the nearest cent)

This game is in favor to the player since we got a positive expected value. A fair game would occur if the expected value was 0.

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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The solution to the inequality is x >= -2 for inequality 3x-5≥-11

The given inequality is 3x-5≥-11

Three times of x greater than or equal to minus eleven

x is the variable

3x - 5≥ -11:

Adding 5 to both sides, we get:

3x ≥ -6

Dividing both sides by 3, we get:

solution is  x≥-2

Therefore, the solution to the inequality is x >= -2.

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The solution of the given quadratic equation -5 = -36 / m + m is,

 m = - 9 or  m = 4

The given equation is

-5 = -36 / m + m

After re arranging it we get,

m² + 5m - 36 = 0

This is nothing but quadratic equation,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

So now we can write,

⇒ m² + 9m - 4m - 36 = 0

⇒ m(m + 9) - 4(m + 9) = 0

⇒ (m + 9)(m - 4) = 0

Therefore,

⇒ (m + 9) = 0 or (m - 4) = 0

⇒ m = - 9 or  m = 4

Thus,

The solution of the given expression is

m = - 9 or  m = 4

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Answer:

6 days

Step-by-step explanation:

This question becomes much easier when written out per day (shown below). The question tells us that she is reducing her run by half every day, so all we need to is divide the previous day by 2 to get the current day. She starts out with 26 miles so this is our day 1 value.

Day 1 = 26 miles

Day 2 = 13 miles (26÷2=13)

Day 3 = 6.5 miles (13÷2=6.5)

Day 4 = 3.25 miles (6.5÷2=3.25)

Day 5 = 1.625 miles (3.25÷2=1.625)

Day 6 = 0.8125 miles (1.625÷2=0.8125)

We can see that by day 6, her total running amount is less that 1 mile, so the final answer is 6 days.

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Answer:

a.  £24,714.29

b. £16,833.33

Step-by-step explanation:

The calculation of mean income is given below:-

Mean income = Total addition of salaries ÷ Number of workers

= £9,500 + £25,000 + £13,250 + £72,000 + £12,750 + £29,500 + £11,000

= £173,000 ÷ 7

= £24,714.29

Now,

the Mean income excluding Deva's salary:

= Formula of Mean income

= Total addition of salaries excluding Deva salary ÷ Number of workers

= (£9,500 + £25,000 + £13,250 + £12,750 + £29,500 + £11,000) ÷ 6

= £101,000 ÷ 6

= £16,833.33

Answer:

AC=BD

3(x-5)=x+11

3x-15 = x+11

2x=26

x= 13

AC= 3(13 -5)= 24

BD= 13+11 = 24

Step-by-step explanation:

Answer:

$35

Step-by-step explanation:

1) He receives $175 dollars. We'll keep that in mind.

2) He has 5 band members.

3) He shares $175 between 5 band members

4) We have to do $175 divided by 5. This equals $35.

5) Done!

i hope this helps:) <3

Answer:

52 inches

Step-by-step explanation:

1 foot=12 inches

4(12)=48 inches

Then you add the other 4 inches.

48+4=52

52 inches

Answer:

Step-by-step explanation:

(-4 - 8)/(5 + 1)= -12/6 = -2

Option C

ANSWER

Interval notation: [0, ∞)

Graph:

EXPLANATION

In interval notation we use parenthesis and brackets to group the intervals. Brackets [ or ] indicate that the number in the extreme of the interval is included and parenthesis ( or ) indicate that the number is not included. For infinite we always use parenthesis.

For example:

in this interval, a is not included and b is included - which means numbers greater than a and less or equal to b --> a < x ≤ b.

In this problen we have x ≥ 0, which in words mean numbers greater than or equal to zero. In interval notation we have to use a left bracket for zero (because it includes the number) and a right parenthesis with an infinite symbol, because there's no upper bound indicated. Therefore, in interval notation this is [0, ∞).

To graph this, we first draw a number line where we can see the extremes of the interval or intervals. Then we can use a bracket or parenthesis for the extremes and if one of them is an infinite symbol, we have to indicate that with an arrow - a left arrow for -∞ and a right arrow for ∞.