Must Point A from #2 be the midpoint of segment EF? Why or why not?

Answer:

Step-by-step explanation:

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I answered it here.

events B and C are not only dependent but also mutually exclusive. events B and C are mutually exclusive and dependent.

Based on the correct value of P(B AND C), the relationship between events B and C is as follows: We are given that P(B) = 0.6, P(C) = 0.4, and P(B AND C) = 0. If events B and C were independent, then we would have P(B|C) = P(B), which means that the occurrence of event C would not affect the probability of event B. However, since P(B AND C) = 0, we know that events B and C cannot occur simultaneously. Therefore, P(B|C) = 0. This means that if event C occurs, event B cannot occur. Therefore, events B and C are not only dependent but also mutually exclusive. In summary, events B and C are mutually exclusive and dependent.

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The Solution:

We are required to find the sum of

This also means that we should simplify

Therefore, the correct answer is option 2

Answer:

The formula for density (ρ) is:

Density (ρ) = Mass (m) / Volume (V)

Step-by-step explanation:

Where:

Answer:

Domain: (-5, 6)

Step-by-step explanation:

Take the two points that are farther from the center of the x-value.  The two x values have the following x coordinates -5 and 6 in which it is your domain.

The probability that Aakesh will select a blue marble from each bag is 4/45.

To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.

Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:

P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag

P(Blue from first bag) = 2 / 5

Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:

P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag

P(Blue from second bag) = 2 / 9

To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:

P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)

P(Blue from both bags) = (2 / 5) * (2 / 9)

P(Blue from both bags) = 4 / 45.

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Answer:

\(y=-x+1\)

Step-by-step explanation:

It helps to write the equation in slope-intercept formula to find the slope of an equation in the form: \(y=mx+b\) where "m" is the slope of the equation. We can take the equation given: \(-7x-7y=7\) and solve for "y" to get the equation in slope-intercept form:

\(-7x-7y=7\)

add 7x to both sides:

\(-7y=7x+7\)

Divide both sides by -7

\(y=-x-1\)

Now in this form we can tell that the coefficient of "x" (the m value) is our slope, which is -1. We need this slope to determine a parallel line as parallel lines share the same slope but different y-intercepts. So a general equation for a parallel line would be:

\(y=-x+b\text{ where b }\ne -1\)

We're given the point (-1, 2) and we can use it to solve for that "b" value.

We plug in -1 as x and 2 as y

\(2=-1(-1)+b\implies 2=1+b\implies 1=b\)

Now we just plug this into the general equation to get: \(y=-x+1\)

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Out of $205000, the total commission earned by the agent will be $12300.

A commission is a fee paid to a salesperson in exchange for services in facilitating or completing a sale transaction. Mathematically -

Commission [C] = Sales revenue [R] x commission rate [rc]

Given is an agent who lists a sellers house for 6% commission. The final agreed sales price is $205,000.

The total sales price = [P] = $205000

The commission on house = [C] = 6%

Now, the money agent gets as a commission will be = [M] -

[M] = 6% of 205000

[M] = (6/100) x 205000

[M] = 6 x 2050

[M] = 12300

Therefore, out of $205000, the total commission of the agent will be $12300.

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Answer:

so all you do is cross flip and multiply  

Step-by-step explanation:

what that means is you flip the fraction on the right and then cross multiply the two fractions

I hope this helps

Answer:

ok so

lets say

1 2/4 divided by 1/3

okay so first you change the 1 2/4 into a improper fraction

1 2/4 = 6/4

okay then you find a common denominator for both of them so you multiply 6 and 4 times 3 and you multiply 1 and 3 times 4

so the question is now

18/12 divided by 4/12

then you divide the numerator by numerator and the denominator stays the same

heres another way:

you change the number to improper if not already

18/12 divided by 4/12

and then you switch the 4 and the 12 around so its now

18/12 divided by 12/4 and then u change the divide sign into a multiply sign which is

18/12 times 12/4 and then u multiply the numerator by numerator and denominator by denominator

sorry if this is confusing, im bad at explaining >_<

it always adds up to 180° so if you subtract 180 from 72 it should be 108

For this problem, we have three circles with different radii. We need to determine which circles are similar and point out the reason for our statement.

Every circle has the same shape, the only thing that sets them apart is the radii. Since we can represent the relationship between the radii as fractions, then all circles are similar. Due to this, the only correct option is the second one. "Circle 1 is similar to both circle 2 and circle 3".

Step-by-step explanation:

50 miles per hour, how long will it take before that train meets THE Other train, going from B to A, at a speed

Answer:

Tn = 4(-6)^n-1

Step-by-step explanation:

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

The sequence is a geometric sequence

Tn = ar^n-1

a is the first term

a = 4

r = -24/4 =144/-24

r = -6

Substitute

Tn = 4(-6)^n-1

Answer:

1095

Step-by-step explanation:

Answer:

Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day

Step-by-step explanation:

To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.

Let's calculate his average time per day:

Average time per day = Total time / Number of days

Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:

Average time per day = 6 hours / 5

Average time per day = 1.2 hours per day

To convert hours to minutes, we'll multiply the average time per day by 60:

Average time per day = 1.2 hours * 60 minutes

Average time per day = 72 minutes per day

Therefore, Clarence's average time per day is 72 minutes.

Answer:

Step-by-step explanation:

2x -5y = -6 === (1)

4x-3 =-12 ====(2)

From (2), 4x= -12 +3

               4x= -9

                 x= -2\(\frac{1}{4}\)

Subst x= -2\(\frac{1}{4}\) in (1), 2(-2\(\frac{1}{4}\)) - 5y = -6

                              -4\(\frac{1}{2}\) -5y = -6

                                    -5y = -6 +4\(\frac{1}{2}\)

                                    -5y = -1\(\frac{1}{2}\)

                                       y = 0.3

Answer: 32/40

Step-by-step explanation: Our original ratio here for sugar/flour is 4/5, but as that's not an answer choice, we need to look for an answer choice where the ratio reduces to 4/5. 32/40 is the answer because 32 and 40 are multiples of 4 and 5 respectively:

32/8 =4, and

40/8=5, so

32/40 is equal to 4/5.

The step-down transformer has a voltage of 8V

A transformer is a device used in the power transmission of electric energy. The transmission current is AC. It is commonly used to increase or decrease the supply voltage without a change in the frequency of AC between circuits. The transformer works on basic principles of electromagnetic induction and mutual induction.

Commonly used transformer type, depending upon voltage they are classified as:

In this transformer, the voltage is 24V and it's a step-down transformer

Using a ratio of 2:1 on this here;

1 / 3 * 24 = 8V

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The graph of the feasible region is attached

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Answer:

Step-by-step explanation:

Pythagorean theorem: b² + 6² = 14²

b² = 14² - 36² = 160

b = 4√10

sin(A) = 6/14 = 3/7

∠A = arcsin(3/7) ≈ 25.4°

∠B ≈ 90° - 25.4° = 64.6°

Answer:

She did better in Math 82. In English in 79

Answer:

Only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)

Step-by-step explanation:

We want to find which of the expression is not equal to 30.

1) (120 : 20) x (2+3)

Using BODMAS, we will solve the brackets first. So, we have;

(120/20) × 5

Note that a ratio implies division.

So, we have;

6 x 5 = 30

2) (9 x 10) : (4 + 1) + 12

Again, using BODMAS, solve the brackets first.

90 : 5 + 12

Ratio symbol is division and so it come before addition in BODMAS.

So, we have;

(90/5) + 12 = 18 + 12 = 30

3) (2 x 60 : 30) x (24 + 2)

Again, using BODMAS, solve the brackets first.

In the first bracket, we'll use division first before multiplication.

(2 x 60/30) x (26) =

2 x 2 x 26 = 104

4) 2 + (30 - 8:4)

Again, using BODMAS, solve the brackets first.

In the second bracket, division goes first. So,

2 + (30 - 8/4) = 2 + (30 - 2) = 2 + 28 = 30

So the only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)

After simplifying a mixed number is 5 1/16

A mixed number is a combination of a whole number and a fraction.

It is typically written in the form "a b/c", where "a" is the whole number, "b" is the numerator of the fraction, and "c" is the denominator of the fraction.

For example, 3 1/2 is a mixed number, where 3 is the whole number, 1 is the numerator of the fraction, and 2 is the denominator of the fraction. This mixed number can also be expressed as an improper fraction as follows:

3 1/2 = (3 × 2 + 1) / 2 = 7/2.

Conversely, an improper fraction can be converted to a mixed number by dividing the numerator by the denominator to obtain the whole number and expressing the remainder as a fraction.

To multiply 2 1/4, follow these steps:
1. Convert the mixed number to an improper fraction: 2 1/4 = (2 × 4 + 1) / 4 = 9/4
2. Multiply the improper fraction by itself: (9/4) × (9/4)
3. Multiply the numerators: 9 × 9 = 81
4. Multiply the denominators: 4 × 4 = 16
5. Write the result as a fraction: 81/16
6. Simplify the fraction by converting it to a mixed number:

81 ÷ 16 = 5, with a remainder of 1.

So, 81/16 = 5 1/16.

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Answer:

-12

Step-by-step explanation:

So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).

Then, we  need to know the slope-intercept form of an equation. The slope intercept form is \(y=mx+b\) where \(m\) is the slope of the line and \(b\) is the y-intercept. In this problem where can see the second equation is already in this form.

Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.

To do this, we know we need to make sure \(y\) is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have \(-\frac{1}{2} y\) so we have to divide both sides by \(-\frac{1}{2}\) to get \(y=-12x -20\)

Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or \(m\) in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.

Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.

It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.

Sterling to Euro : \($750 \times 1.14=6855$\)

Pounds to dollars : \($750 \times 1.39=\$ 1042.5$\)

One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.

The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.

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\(f(a)=\boxed{5a^{2}+2}\\\\f(a+h)=5(a+h)^{2}+2=5(a^{2}+2ah+h^{2})+2=\boxed{5a^2 + 10ah+5h^2 +2}\\\\f(a+h)-f(a)=(5a^2 + 10ah+5h^2 +2)-(5a^2 +2)=\boxed{10ah+5h^2}\)