Which number is IRRATIONAL?
A) 47
B)
0.09
C)
15
D)
8
45

Answer:

The probability that A will win is 2/3 and that B will win is 1/3 so if A wins three times in a row, 2/3*2/3*2/3=8/27.

Step-by-step explanation:

The depreciation value of the machinery in 3 years time will be $42 868.75.

Given, Current value of the machinery = $50 000

Depreciation rate of the machinery = 5% per year

To find,Value of the machinery in 3 years time

The value of machinery decreases by 5% every year. Therefore, the value of machinery at the end of the year can be determined by the following formula:

Value at the end of a year = Value at the start of the year - Depreciation

Amount of depreciation = Depreciation rate x Value at the start of the year

According to the above formula, the value of machinery after 1 year will be:

Value at the end of year 1 = $50 000 - (5% × $50 000) =$47 500

After the first year, the value of the machinery will be $47 500. The same formula can be used to calculate the value of machinery at the end of year 2 and year 3.

Year 2: Value at the end of year 2 = $47 500 - (5% × $47 500) =$45 125

Year 3: Value at the end of year 3 = $45 125 - (5% × $45 125) =$42 868.75

Therefore, the value of the machinery after 3 years will be $42 868.75.

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Emilio can make 6 servings of soup.

As Emilio needs 13 3/4 ounces of chicken broth to make one serving of soup, To find the number of servings of soup he can make using 82.5 ounces of chicken broth, we need to divide the total amount of chicken broth by the amount required to make one serving.

So, the number of servings of soup Emilio can make is; Number of servings of soup = Total amount of chicken broth ÷ Amount of chicken broth required for one serving.

Putting the values we get, Number of servings of soup = 82.5 oz ÷ 13 3/4 oz.

We know that, 3/4 oz = 0.75 oz.

Therefore, Number of servings of soup = 82.5 oz ÷ (13 + 0.75) oz.

Number of servings of soup = 82.5 ÷ 13.75.

Number of servings of soup = 6.

Therefore, Emilio can make 6 servings of soup.

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According to the given statement the total area to the nearest tenth of a 38.9 square inch.

To find the total area of the design, we first need to determine how many large and small triangles form the design.

The design is made of equilateral triangles, with a side length of 6 inches for the large triangle and 3 inches for the small triangle.

To find the number of large triangles, we can divide the side length of the large triangle (6 inches) by the side length of the small triangle (3 inches).

This gives us 6/3 = 2 large triangles.

To find the number of small triangles, we can count the number of small triangles along one side of the large triangle.

By observation, we can see that there are 3 small triangles along one side of the large triangle.

Since each large triangle has 3 sides, the total number of small triangles in the design is

2 (large triangles) x 3 (small triangles per side) = 6 small triangles.

Next, let's express the area of an equilateral triangle through its side. The formula for the area of an equilateral triangle is given by:

Area = (side² * √(3)) / 4

Where "side" represents the length of one side of the triangle.

Therefore, the area of the large triangle is (6² * √(3)) / 4

= (36 * √√(3)) / 4 = 9√(3) square inches.

Similarly, the area of the small triangle is (3² * sqrt(3)) / 4

= (9 * √(3)) / 4 = 2.25√(3) square inches.

To find the total area of the design, we can add up the areas of the large and small triangles.

The total area is:

Total area = (Area of large triangle) + (Area of small triangle)

= 9√(3) + 6 * 2.25√√(3) = 9√(3) + 13.5√(3) = 22.5√(3) square inches.

Rounding the total area to the nearest tenth of a 38.9 square inch,

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The total area of the design is approximately 137.7 square inches.

The design on the parquet floor consists of equilateral triangles. The large triangles have a side length of 6 inches, while the small triangles have a side length of 3 inches.

To find the total area of the design, we need to determine how many large and small triangles form it.

Let's start with the large triangles. Since the side length of each large triangle is 6 inches, the area of one large triangle can be expressed as \((\sqrt(3)/4) * (6^2)\). Simplifying this expression, we find that the area of one large triangle is \(9(\sqrt(3))\) square inches.

Next, let's consider the small triangles. With a side length of 3 inches, the area of one small triangle can be expressed as \((\sqrt(3)/4) * (3^2).\)Simplifying, we find that the area of one small triangle is \((9/4)\sqrt(3)\) square inches.

To determine the number of large and small triangles, we need to look at the design. If we count the triangles, we find that there are 6 large triangles and 12 small triangles.

Now, we can calculate the total area. The total area is equal to the sum of the areas of the large and small triangles.

For the large triangles, we have 6 triangles, so the total area of the large triangles is \(6 * 9(\sqrt(3)) = 54(\sqrt(3))\) square inches.

For the small triangles, we have 12 triangles, so the total area of the small triangles is \(12 * (9/4)\sqrt(3) = 27(\sqrt(3))\) square inches.

Adding the areas of the large and small triangles together, we find that the total area of the design is \(54(\sqrt(3)) + 27(\sqrt(3)) = 81(\sqrt(3))\) square inches.

To find the total area to the nearest tenth of a square inch, we can approximate \(\sqrt(3)\) to 1.7. Therefore, the total area of the design is approximately 81(1.7) = 137.7 square inches.

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The equation that represents a reflection in the x​ -axis of the graph of g(x) is y = -|x|.

We are given a function g(x). The function g(x) is defined as the modulus of x. The equation is : g(x) = |x|.

We need to find the equation that represents the reflection of the graph of g(x). The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point but leave the x-value the same.

Let h(x) be the function that represents the reflection of the function g(x).

h(x) = -g(x)

h(x) = -|x|

The equation can be written as y = -|x|. The graph of the reflection is attached below.

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a. ∀x (D(x) ∨ M(x))

This statement is a universal quantification that says for all members of the club x, they either paid their club dues or came to the meeting on time.

b. ∃x (D(x) ∧ M(x))

This statement is an existential quantification that says there exists a member of the club x who paid their dues and came to the meeting on time.

c. ∃x (O(x) ∧ ¬M(x))

This statement is an existential quantification that says there exists a member of the club x who is an officer and did not come to the meeting on time.

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Answer:

78 units²

Step-by-step explanation:

Area of rectangle

Area of triangle

Total area

Answer:

6

Step-by-step explanation:

Answer:

Hopefully you don't mind that I took a photo instead hope this helps

The number which should be taken so that 8 will be the highest GCF is 20

The acronym GCF means "Greatest Common Factor." It is often referred to as the "Highest Common Factor" or the "Greatest Common Divisor" (GCD) (HCF). The biggest number that divides two or more other numbers without producing a residue is known as the GCF.

Given numbers,

16, 18, 24 & 20

Lets check which numbers are the multiple of 8

First taking number 16

⇒  16/8

⇒  2

So it is a multiple of 8

Similarly 8 & 24 are also multiple of 8,

Now taking number 20

⇒ 20/8

⇒ 5/2

It is not completely divisible by 8

Hence, the number 20 should be taken away.

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Answer:

150 square feet

Step-by-step explanation:

We need to find the total area of the yard. To do this, we can do length multiplied by the width. This means that the area of the yard is 10*15=150 square feet.

Answer:

You firstly multiply 25,5cm with 20cm equals to 510cm then you divide it with 150 equals 3,4cm

Step-by-step explanation:

(25.5cm × 20cm) ÷ 150cm

≈510cm ÷150cm

≈3,4

Answer:

It's a square

good luck, i hope this helps :)

The amount of time from the first call which it took the trucks to arrive is 11.4 minutes.

In order to solve this word problem, we would assign variables to the average speed and time taken by both fire trucks, and then translate the word problem into algebraic equation as follows:

For the first truck, the average speed is given by:

Average speed, r₁ = 36 × 1/60

Average speed, r₁ = 0.6 mph

For the second truck, the average speed is given by:

Average speed, r₂ = 72 × 1/60

Average speed, r₂ = 1.2 mph

Note: Distance = Average speed × time

t₂ = t₁ - 5

Translating the word problem into an algebraic equation, we have;

Total distance = r₁(t₁) + r₂(t₁ - 5)

15 = 0.6t + 1.2(t₁ - 5)

15 = 0.6t₁ + 1.2t₁ - 6

15 = 1.8t₁ - 6

1.8t₁ = 15 + 6

1.8t₁ = 21

t₁ = 21/1.8

Time, t₁ = 11.4 minutes.

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Complete Question:

A fire truck is called to a scene. Five minutes later, a second truck is called. the first truck averages only 36 miles per hour, but the second averages 72 miles per hour. the trucks travel a total of 15 miles and arrive at the same time. How long from the first call did the trucks take to arrive?

The statistical unit for John's study is A. the 35 countries. John is trying to estimate the average literacy rate across all countries, and he randomly selected 35 countries to research their literacy rates. The statistical unit in this case is the individual country, as each country's literacy rate is being used to calculate the average.

The statistical unit for John's study is A. the 35 countries. This is because John's study is based on a sample of 35 countries that he randomly selected. The sample is used to estimate the average literacy rate for all countries. The sample size of 35 countries is large enough to provide a representative sample of the population of countries. If John had selected only a few countries or individuals, his estimate of the average literacy rate would not have been reliable. However, by selecting a sample of 35 countries, John can make a more accurate estimation of the average literacy rate for all countries. In conclusion, the statistical unit for John's study is the sample of 35 countries that he researched to estimate the average literacy rate for all countries.

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Yes, the expression; y = x³ is a function because it passes the vertical line test.

Discussion:

By definition, a function from a set x to a set y assigns to each element of x exactly one element of y.

On this note, the set containing all possible values of x is called the domain of the function and the set y is called the co-domain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

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D

L

K

C

Answers in order from 5-8

Answer: 4.5

Step-by-step explanation:

It comes from after you divide 27 ÷ 6

Answer:

4.5 ounces

Step-by-step explanation:

Okay, to find out how much rice is in each container, you need to divide the 27 ounces into 6 equal groups.

This can be calculated using division.

27 ÷ 6 = ?

27 ÷ 6 = 4.5

Therefore, there are 4.5 ounces in each container.

Answer:

At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 53°. Find the height of the tree to the nearest foot.

I got 50xtan53 = 66.35 nearest foot ? would I use tan or sin since I'm finding the foot of the tree

Step-by-step explanation:

.

The people are under thirty years old is 692.

It is required to find the people are under thirty years old.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

There are 2076 people at a concert.

One third of the people at the concert are under thirty years old.

According to given question we have,

Total number of people at a concert= 2076

Multiply 2076 by 1/3 we get,

= 1/3*2076

= 692 people were under 30 years old

Therefore, the people are under thirty years old is 692.

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The length of the curve y=2−x²,0≤x≤1 is approximately 1.70 units.

To use the arc length formula to compute the length of the curve y=√2−x²,0≤x≤1y=2−x²,0≤x≤1, we first need to find the derivative of each equation.

For y=√2−x², the derivative is y'=-x/√2-x².

For y=2-x², the derivative is y'=-2x.

Next, we can use the arc length formula:

L = ∫aᵇ √[1+(y')²] dx

For y=√2−x²,0≤x≤1:

L = ∫0¹ √[1+(-x/√2-x²)²] dx
L = ∫0¹ √[(2-x²)/(2-x²)] dx
L = ∫0¹ dx
L = 1

Therefore, the length of the curve y=√2−x2,0≤x≤1 is 1 unit.

For y=2−x2,0≤x≤1:

L = ∫0¹ √[1+(-2x)²] dx
L = ∫0¹ √[1+4x²] dx
L = 1/2 × (1/2 × ln(2√(5)+5) + 1/2 × √(5) + 1/2 × ln(2√(5)+1) + 1/2)
L ≈ 1.70

Therefore, the length of the curve y=2−x²,0≤x≤1 is approximately 1.70 units.

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Answer: Distance is 8.9

Step-by-step explanation:

\(d = √((x2-x1)2 + (y2-y1)2)\)

\((x2-x1) = (4 - 0) = 4\)

\((y2-y1) = (4 -4) = 8\)

Add it all together

\((4)2 + (8)2 = 16 + 64 = 80\)

Square 80

\(\sqrt{80} =4\sqrt{5} \\=8.9443\)

Answer: d=8.9

Step-by-step explanation:

√80=8.9

The probability of the commuting time being between 50 and 60 minutes is determined for a train with a uniformly distributed commuting time between 40 and 90 minutes.

In a uniform distribution, the probability density function (PDF) is constant within the range of the distribution. In this case, the commuting time is uniformly distributed between 40 and 90 minutes. The PDF for a uniform distribution is given by:

f(x) = 1 / (b - a)

where 'a' is the lower bound (40 minutes) and 'b' is the upper bound (90 minutes) of the distribution.

To find the probability that the commuting time falls between 50 and 60 minutes, we need to calculate the area under the PDF curve between these two values. Since the PDF is constant within the range, the probability is equal to the width of the range divided by the total width of the distribution.

The width of the range between 50 and 60 minutes is 60 - 50 = 10 minutes. The total width of the distribution is 90 - 40 = 50 minutes.

Therefore, the probability that the commuting time will be between 50 and 60 minutes is:

P(50 ≤ x ≤ 60) = (width of range) / (total width of distribution) = 10 / 50 = 1/5 = 0.2, or 20%.

Thus, there is a 20% probability that the commuting time on this particular train will be between 50 and 60 minutes.

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Answer:

C

Step-by-step explanation:

The quotient of d minus 16 and 3 means that d - 16 is in the numerator and 3 is in the denominator. This equation is equal to 4, so the answer is:

(d - 16) / 3 = 4

I hope this helped and please mark me as brainliest!

Hello !

Answer:

\(\large\boxed{\sf Option\ 3 : 66cm}\)

Step-by-step explanation:

The circumference of a circle is given by \(\sf C=2\times\pi\times r\), where r is the radius.

Given :

Let's replace r with its value in the previous formula :

\(\sf C=2\times 3.14\times 10.5\)

\(\sf C=65.94\)

\(\boxed{\sf C\approx 66cm}\)

Have a nice day

Answer:

24

Step-by-step explanation:

Answer:

c) 24 pi in.

happy to help

since the population standard deviations (σ1 and σ2) are not provided, we cannot calculate the exact test statistic Z.

To test the null hypothesis H0: (μ1 - μ2) = 0 versus the alternative hypothesis Ha: (μ1 - μ2) ≠ 0, we can use a two-sample z-test. The test statistic is calculated as:

Z = (x bar1 - x bar2) / sqrt((σ1^2 / n1) + (σ2^2 / n2))

Where:
X bar1 and x bar2 are the sample means of the two groups,
σ1 and σ2 are the population standard deviations of the two groups,
n1 and n2 are the sample sizes of the two groups.

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Home prices are probably skewed to the right and not symmetric. So the correct option would be A.

This makes the median a better representation of the center than the mean which would be influenced by the extremely high-priced homes.

Reporting the mean would give the impression that the​ "typical" home price is higher than it is.

they substitute the median for the mean. The median is unaffected by severe outliers or asymmetric score distributions because it only takes one or two values. In contrast, skewed distributions might have different mean and mode values.

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On solving the provided question we can say that - area of the given triangle will be A = 60 cm sq.

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

here,

B = 8cm

H = 15 cm

A = 1/2 BH = 1/2 X 8 X 15 = 60cm sq.

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