What is the probability of an indi individual scoring above 500 on the GMAT

The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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Answer:

The actual area of the field in square kilometers is \(30000000 km^2\)

Step-by-step explanation:

Scale : 1 cm = 50000 km

Area of field on map = \(1.2 cm^2\)

Now , 1 cm = 5000 km

\(1 cm^2 = (5000 km)^2\)

We are supposed to find the actual area of the field in square kilometers.

So, the actual area of the field in sq. km =\(1.2 \times (5000)^2\)

Actual area of the field in sq. km \(=30000000 km^2\)

Hence the actual area of the field in square kilometers is \(30000000 km^2\)

Answer:

one solution

Step-by-step explanation:

they only meet up once

get a new computer br.uh

It cost £57.6 pounds to buy a 40 bottles of mango juice after 20% discount.

What  is discount?

 The difference between the purchase price and the item's par value is the discount. Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided.

Here the cost of one bottle mango juice is £1.80 .

Then cost of 20 bottles mango juice = 20*1.80 = £36.

Now here we can get 20% discount then ,

=> cost of 20 bottles - 20% of cost of 20 bottles

=> 36- 20% of 36

=>36- \(\frac{20}{100}\)*36

=>36-7.2

=>£28.8

Now here we have to buy 40 bottles then,

Cost of 40 bottles after 20% discount = 2*28.8=£57.6

Hence cost of 40 bottles of mango juice is £57.6.

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Answer:

(5-i)

(5-4i)

(-12i^2+2i+2)

(6i^2-2i)

Answer:

1. 0.1795

2. 0.1693

3. 0.1657

4. 0.1606

Step-by-step explanation:

This problem was solved using the binomial distribution

1.

N = 30

P = 6/30 = 0.2

Using binomial distribution

30C6 x 0.2⁶ x 0.8²⁴

= 593775 x 0.000064 x 0.004722

= 0.1795

2.

N = 60

P = 6/60 = 0.1

60C6 x 0.1⁶ x 0.9⁵⁴

= 50063860 x 0.000001 x 0.00338139

= 0.1693

3.

N = 100

100C6 x 0.06⁶ x 0.94⁹⁴

= 1192052400 x 0.000000046656 x 0.00297864

= 0.1657

4.

Poisson distribution was used here

e^-6(6)⁶/6!

= 0.1606

The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.

Let's represent the total no of oranges by x.

Therefore ,

2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.

an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x

x = 12+4 or x-12 = 4

= 16

therefore amir got 16 oranges in all

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Answer:

  b.  $154,810

Step-by-step explanation:

You want to know the price of a home that can be purchased for a monthly payment of $879.32 on a 30-year loan at 5.5%.

The given table tells you the multiplier m used to find the monthly payment p from the loan amount P for different time periods and interest rates.

  p = (P/1000)×m

The table value for a 30-year loan at 5.5% is m = 5.68. Solving the equation for P, we have ...

  1000p/m = P

  1000(879.32/5.68) = P ≈ 154,809.86 ≈ 154810

You qualify for a loan of $154,810.

__

Additional comment

The multiplier 5.68 is found on row 2 (5.5%) of column 4 (30 years).

By answering the presented question, we may conclude that As a result, equation the answer is (b) $154,810.

A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.

To establish the purchase price of a property, we must use the monthly payment and the table supplied to determine the mortgage amount that corresponds to the monthly payment.

According to the data, the monthly payment per $1000 of mortgage for a 30-year fixed mortgage at a 5.5% interest rate is $5.68.

Hence, to calculate the mortgage amount for a $879.32 monthly payment, we may apply the following formula:

Mortgage amount = monthly payment / mortgage payment per $1000

$879.32 mortgage amount / $5.68 per $1000

Loan amount = $154,810

As a result, the purchasing price of a house is $154,810.

As a result, the answer is (b) $154,810.

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Answer:

(a) True

(b) False

(c) True

(d) False

(e) False

(f) True

(g) False

(h) True

(i) True

(k) True

Step-by-step explanation:

(a) Two lines parallel to a third line are parallel

True

(b) Two lines perpendicular to a third line are parallel

Only for  lines on the same plane

Therefore, false

(c) Two planes parallel to a third plane are parallel

True

(d) Two planes perpendicular to a third plane are parallel

The two planes can be at an angle to each other and so intersect

Therefore, false

(e) Two lines parallel to a plane are parallel

Where the two lines are on a plane parallel to the first plane but the lines are not themselves parallel to each other they intersect

Therefore, false

(f) Two lines perpendicular to a plane are parallel

True

(g) Two planes parallel to a line are parallel

Where the planes are not parallel to each other, they will intersect

Therefore, false

(h) Two planes perpendicular to a line are parallel

True

(i) Two planes either intersect or are parallel

True

(k) A plane and a line either intersect or are parallel

True.

Answer:

81/20

Step-by-step explanation:

Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.

Here, since we want our ratio in simplest form,

I would use a fraction bar.

Now, the problem asks us to compare

the number of boys to the number of girls.

We know that there are 12 boys

and we know that there are 15 girls.

So our ratio is 12/15.

However, this can be reduced to 4/5.

\(\frac{4}{25} *\frac{9}{x}\)

\(9*25=4x\)

225=4x

x=225/4

Answer:

x-intercept = 5

y-intercept = 350

Step-by-step explanation:

Assuming that h=x and m=y, when x is at 0 the y is at it's intercept giving you a y-intercept of 350. When y is at 0 the x is at it's intercept giving you an x-intercept of 5.

The given equations represent the solutions of 0 = 0.25x² - 8x

An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign. Equations are used to solve problems and model real-world situations in many fields, including physics, engineering, and finance.

Redirecting to answer:

The equation 0 = 0.25x² - 8x can be rewritten as:

0.25x² - 8x = 0

Factoring out x gives:

x(0.25x - 8) = 0

So the solutions are x = 0 and 0.25x - 8 = 0, which gives x = 32.

Therefore, none of the given equations represent the solutions of 0 = 0.25x² - 8x

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9514 1404 393

Answer:

  A)  -1 < x < 0

Step-by-step explanation:

The horizontal line that is the x-axis is also the line y = 0. The curve is above that line when x < 0, and when x > 3.6.

The only interval that overlaps either of these regions is ...

  (A)  -1 < x < 0

Answer:

option B

Step-by-step explanation:

\(f(x) = \frac{x + 2}{x + 1} \)

Answer:

Step-by-step explanation:

47,57,68

adding 1 to the next number and so on

plus 4, plus 5, plus 6 and so on

The y-intercept ocurrs at x=0. Then, by substituting x=0 in our equation, we get

which gives

then, the y-intercept point is (0,3).

Similarly, the x-intercept ocurrs at y=0. By substituting y=0 in our equation, we have

which gives

so, the x-intercept point is (6,0).

Now, let's make the graph

Answer:

slope = 3/1 or 3

Step-by-step explanation:

Using the rise and run method we see the line rises up 3 and runs sideways 1 unit.

This means that the slope is 3/1 or 3

If you continue along the line this pattern will continue

Hope this helps :)

Answer:

The slope is 3/1

Step-by-step explanation:

The slope is 3 over 1 because the line moves the right by 1 unit and moves up by 3 units.

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

Answer:

⅙

Step-by-step explanation:

½ divided by 3 would be ⅙

Answer:

m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225

Step-by-step explanation:

Answer:

Step-by-step explanation:

Year 1: $850 * 0.91 = $773.50

Year 2: $773.50 * 0.91 = $704.69

Year 3: $704.69 * 0.91 = $641.95

...

Year 34: (continue the pattern)

We can continue this calculation for each year, but to save time, we can use an exponential decay formula:

Remaining Amount = Initial Amount * (1 - rate)^years

Substituting the values:

Remaining Amount = $850 * (1 - 0.09)^34

Calculating this expression:

Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88

After 34 years, approximately $255.88 will be left with Sally.

Answer:

1/4 and 25/100 = 25%

2/5 and 40/100 = 40%

3/5 and 60/100 = 60%

Answer:

Pretty sure it's 8 units long

Answer:

0 degrees faranhiet

Step-by-step explanation:

when you add 14 and -5 you get 9 then the question says 9 degrees cooler so that would translate to the problem 9 - 9 which you get zero.

Answer:

6i

Step-by-step explanation:

because I did this assignment

Answer:

12s67v6₹+tygzgxhfucxh

Answer:

1997 > y

Step-by-step explanation:

The inequality that presents year before 1997 is y<1997

Inequality shows relation between two expression which are not equal to each others.

According to given condition,

The emoji were introduced in the year 1997,

There can be infinite year before 1997, when emoji were not introduced.

The year y that describes inequality the year before 1997 can be represented as,

y<1997

The required inequality is y<1997.

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