The blueprint for Zahra’s new office measures `4` cm long and `2` cm wide.The scale for the blueprint is `6` cm to `15` ft. What is the actual area of her office?

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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Answer:

D. 75

Step-by-step explanation:

The cost to buy all of the crown molding for the bedroom would be $75.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that bedroom and office in the diagrams below are similar rectangles and the walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional.

Since it will cost $120 to buy the materials for crown molding in the completed office. Thus Crown molding is the decorative border where , the walls meet the ceiling. It will go all the way around all four walls.

Hence, cost to buy all of the crown molding for the bedroom = $75.

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Buy computer price = $2000

After 1 year

Computer Y= 2,000 - 400•1 = $1600 dollars

Price $400 after how many years?

X= (2000 - Y)/400 = (2000 - 400)/400= 1600/400= 4

Then answer is

After 4 years, price will go to 400 dollars

Answer:

Step-by-step explanation:

(0,0)

i hope this helps

Answer:

The exact answer is 16.6666666667. Rounded would be about 17.

Step-by-step explanation:

Hope i was right and this helped!

Answer:

200 seeds

Step-by-step explanation:

Hope this helps

Answer:

\(f(126) \approx 5.01333\)

Step-by-step explanation:

Given

\(\sqrt[3]{126}\)

Required

Solve using differentials

In differentiation:

\(f(x+\triangle x) \approx f(x) + \triangle x \cdot f'(x)\)

Express 126 as 125 + 1;

i.e.

\(x = 125; \triangle x = 1\)

So, we have:

\(f(125+1) \approx f(125) + 1 \cdot f'(125)\)

\(f(126) \approx f(125) + 1 \cdot f'(125)\)

To calculate f(125), we have:

\(f(x) = \sqrt[3]{x}\)

\(f(125) = \sqrt[3]{125}\)

\(f(125) = 5\)

So:

\(f(126) \approx f(125) + 1 \cdot f'(125)\)

\(f(126) \approx 5 + 1 \cdot f'(125)\)

\(f(126) \approx 5 + f'(125)\)

Also:

\(f(x) = \sqrt[3]{x}\)

Rewrite as:

\(f(x) = x^\frac{1}{3}\)

Differentiate

\(f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}\\\)

Using law of indices, we have:

\(f'(x) = \frac{x^\frac{1}{3}}{3x}\)

So:

\(f'(125) = \frac{125^\frac{1}{3}}{3*125}\)

\(f'(125) = \frac{5}{375}\)

\(f'(125) = \frac{1}{75}\)

So, we have:

\(f(126) \approx 5 + f'(125)\)

\(f(126) \approx 5 + \frac{1}{75}\)

\(f(126) \approx 5 + 0.01333\)

\(f(126) \approx 5.01333\)

Answer:

C because you would have completed every outcome

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

Step-by-step explanation:

the answer is D i'm pretty sure

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer:

d or a

Step-by-step explanation:

50/55/100/105/.................

Answer:

It's 1

Step-by-step explanation:

any number or expression divided by itself is 1

Answer:

1

Step-by-step explanation:

The expression (x + 4) / (4 + x) simplifies to 1 because no matter what value you choose for x, when you add 4 to it and add the same value to 4, you always get the same result in the numerator and denominator, making them cancel out and equal to 1.

Answer:

The answer is C: 120

Step-by-step explanation:

Ok so to solve this, you need to know that when "of" is in an equation, it always means multiply.

So 62% of 196 = 62% * 196.

62%  * 196 = 121.52

Then you need to round 121.52 to the nearest option, which is Option C: 120.

Good luck on your assignment (or whatever this is)!! Have a nice day!!

Facts about subtraction are groups of numbers written as subtraction sums using the equals sign and the minus sign. An example of a subtraction fact is 10 - 5 = 5. Since 10 is the number being subtracted from, the fact is a subtraction from 10 fact.

Subtraction:

Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.

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Answer: 340 children

a quarter is 1/4.

1,360 is the total number of children.

1,360 ÷ 4 = 340

Answer:

would need to see the graph

Step-by-step explanation:

see answer advice

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

First backpacker should receive $4 and the second one $2

Step-by-step explanation:

notice that the total amount of rice for the three is 600 g.

Then, the first one that gave 400 g contributed 400 out of 600, that is 400/600 = 2/3

The second one contributed 200 out of 600, that is 200/600 = 1/3

then the first one should receive 2/3 of the $6 = (2/3) x 6 = $4

and the second one should receive 1/3 of the %6 = (1/3) x 6 = $2

Answer:

5 x - 4

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+45 f - 1 ( x ) = x 5 + 4 5 is the inverse of f(x)=5x−4 f ( x ) = 5 x - 4 .

Current yield = 4.51%

The price of a bond is equal to the future cash flows' present value, discounted at the appropriate discount rate—the yield to maturity.

The price of a bond is the amount that investors are willing to spend on an existing bond. Bond prices are stated as a percentage of face (par) value in the online offering table and statements you get.

Current Yield=Annual Cash Inflows/Market Price

Annual cash flow is 4.75% of 100 = $4.75

Market Price of Bond = $105.25

Current Yield = 4.75/105.25

=4.51%

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Answer:

see explanation

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then for the equation to have 2 real roots , the discriminant must be greater than zero , that is

b² - 4ac > 0

x² + x + c = 0 ← is in standard form

with a = 1, b = 1, c = c , then

b² - 4ac > 0

1² - (4 × 1 × c) > 0

1 - 4c > 0 ( subtract 1 from both sides )

- 4c > - 1

Divide both sides by - 4, reversing the inequality as a result of dividing by a negative quantity.

c < \(\frac{1}{4}\)

Answer:

36 cm

Step-by-step explanation:

Answer:

No trend

Step-by-step explanation:

In this scatter graph, all of the points are just scattered over a wide range. There's no real trend/correlation, so there's no trend.

Answer:

the answer is no trend bc ..

Step-by-step explanation:

the points are scatters and aren't in a specific pattern

Answer:

15:24, 20:32 and 40:64.

Step-by-step explanation:

hope this helps

Answer:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Step-by-step explanation:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

ANSWER :

Domain: 0≤x≤ 10; Range: 2≤y≤7

EXPLANATION :

The given graph is defined from x = 0 to x = 10

Therefore, the domain is 0≤x≤ 10

The graph is also defined from y = 2 to y = 7

Therefore, the range is 2≤y≤7

Answer:

i think -50

Step-by-step explanation:

im not 100% sure tho

Step-by-step explanation:

In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

since there is a term of m^-1 (a negative exponent) that we cannot combine with others (as it is not multiplied with another m-based term), it is NOT a polynomial.

The graph of the composition of functions is on the image at the end.

Here we want to graph the composition of the functions g(x) and f(x), where:

f(x) = -2x - 5

g(x) = x - 1

The composition:

g(f(x)) will give:

g(f(x)) = f(x) - 1 = -2x - 5 - 1 = -2x - 6

So it is just a linear function, basically it is a translation of 1 unit down of f(X), the graph of this composition is on the image at the end.

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Answer:

2.8

Step-by-step explanation:

The tenths place is one place to the right of the decimal place.

Since 1 is less than 5, you keep 8 in the tenths place.