Suppose 20% of business majors major in finance. You take a random sample of 3 business majors. What is the chance that only one of them majors in finance

Answer: 1.4 m/sec

Step-by-step explanation:  As velocity = ds/dt

so by differentiating distance we can get velocity which is 1.4 m/sec

The probability that it takes at most 1 hour of machining time to produce a randomly selected component is approximately 0.00003 or 0.003%.

To solve this problem, we need to first calculate the total mean and standard deviation for the machining time of a single component.

The total mean machining time can be found by adding the means for each component:

30 + 20 + 15 = 65 minutes

The total standard deviation can be found using the formula:

\(\sqrt{((1^2 + 2^2 + 1.2^2)/3)} = 1.247 minutes\)

Now we need to find the probability that it takes at most 1 hour (60 minutes) to produce a randomly selected component. We can use the standard normal distribution to calculate this probability.

z-score = (60 - 65) / 1.247 = -4.01

Using a standard normal distribution table, we can find that the probability of a z-score being less than or equal to -4.01 is approximately 0.00003.

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Answer:

6

Step-by-step explanation:

12 is the full length. point E marks 1/2 of the line. 12-6=6

if it's asking the length of d-e, then the answer is (6) because the entire length of line is twelve and in the top line e-f in 6 and 6-12=6

Answer:

12x+4x or 16x

Step-by-step explanation:

The statement that is true about the diagram include the following:

A. ΔCAB ≅ ΔDAB by SSS.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of three (3) pairs of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.

Based on the side, side, side (SSS) similarity theorem, we can logically deduce the following congruent and similar triangles:

ΔCAB ≅ ΔDAB

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Step-by-step explanation:

X + y = 10

X - y = 4

Rearrange

X= y + 4

Substitute

( y + 4) + y = 10

2y +4 = 10

2y = 6

Y = 3

If Y= 3,

x = (3) +4

X = 7

Answer:

$32.55

Step-by-step explanation:

brainliest pls

fy(x, y) = (e^(xy)(x - 1)) / xy^2. This is the partial derivative of f(x, y) with respect to y.

To find fy(x, y) for the function f(x, y) = e^(xy)/(xy), we use the partial derivative with respect to y while treating x as a constant.

Let's begin by rewriting the function as f(x, y) = (1/xy) * e^(xy).

To differentiate this function with respect to y, we apply the quotient rule. The quotient rule states that for a function u/v, where u and v are functions of y, the derivative is given by:

(uv' - vu') / v^2.

In our case, u = e^(xy) and v = xy. Taking the derivatives, we have:

\(u' = (d/dy)(e^(xy)) = xe^(xy),\)

v' = (d/dy)(xy) = x.

Plugging these values into the quotient rule formula, we get:

fy(x, y) = [(xy)(xe^(xy)) - (e^(xy))(x)] / (xy)^2.

Simplifying further, we have:

fy(x, y) = [x^2e^(xy) - xe^(xy)] / (xy)^2

= [x(xe^(xy) - e^(xy))] / (xy)^2

= (x^2e^(xy) - xe^(xy)) / (xy)^2

= (xe^(xy)(x - 1)) / (xy)^2

= (e^(xy)(x - 1)) / xy^2.

Therefore,\(fy(x, y) = (e^(xy)(x - 1)) / xy^2.\)This is the partial derivative of f(x, y) with respect to y.To find fy(x, y) for the function f(x, y) = e^(xy)/(xy), we use the partial derivative with respect to y while treating x as a constant.

Let's begin by rewriting the function as f(x, y) = (1/xy) * e^(xy).

To differentiate this function with respect to y, we apply the quotient rule. The quotient rule states that for a function u/v, where u and v are functions of y, the derivative is given by:

(uv' - vu') / v^2.

In our case, u = e^(xy) and v = xy. Taking the derivatives, we have:

u' = (d/dy)(e^(xy)) = xe^(xy),

v' = (d/dy)(xy) = x.

Plugging these values into the quotient rule formula, we get:

fy(x, y) = [(xy)(xe^(xy)) - (e^(xy))(x)] / (xy)^2.

Simplifying further, we have:

fy(x, y) = [x^2e^(xy) - xe^(xy)] / (xy)^2

= [x(xe^(xy) - e^(xy))] / (xy)^2

= (x^2e^(xy) - xe^(xy)) / (xy)^2

= (xe^(xy)(x - 1)) / (xy)^2

= (e^(xy)(x - 1)) / xy^2.

Therefore,\(fy(x, y) = (e^(xy)(x - 1)) / xy^2.\)This is the partial derivative of f(x, y) with respect to y.

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So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The probability of getting at least 2 fours is the sum of the probabilities of getting exactly 2, 3, 4, or 5 fours:

P(X ≥ 2) = P(X=2) + P(X=3) + P(X=4) + P(X=5)

Using the binomial formula, we can calculate each of these probabilities:

P(X=k) = (n choose k) p^k (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from n distinct items.

P(X=2) = (5 choose 2) (1/6)² (5/6)³ = 0.1608

P(X=3) = (5 choose 3) (1/6)³ (5/6)² = 0.0322

P(X=4) = (5 choose 4) (1/6)⁴ (5/6)¹ = 0.0013

P(X=5) = (5 choose 5) (1/6)⁵ (5/6)⁰ = 0.00003

Therefore,

P(X ≥ 2) = 0.1608 + 0.0322 + 0.0013 + 0.00003 = 0.1943

So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

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Answer:

The slope would be -2 with a y-intercept of (0, -3).

I hope this helped to answer your question.

Answer:

-3

Step-by-step explanation:

Step 1: Solve (-2+(-1))^2/3 3

           1. -2+(-1) = -3

           2. (-3)^2 = 9

           3. 9/3 = 3

Step 2: Solve (-4)^2-17 -1

           1. 3/-1

Step 3: Simplify 3/-1 = -3. I hope this helped and please don't hesitate to reach out with more questions!

A speculative statement about the relationship between two or more variables is known as a b - hypothesis.

Variables:

A variable is a measurable trait or characteristic that is subject to change under different conditions.

Given,

Here we need to find what is meant by a speculative statement about the relationship between two or more variables.

The definition of Hypothesis is,

It is basically a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

So, a speculative statement about the relationship between two or more variables is known as a b - hypothesis.

So, the option (b) - Hypothesis is correct.

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Answer:

I would say B. 39.

Step-by-step explanation:

Hope this helps:)

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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The probability that at least one of the five cards drawn from an ordinary deck of 52 cards is a Queen is approximately 0.826, or 82.6%.

To calculate the probability, we can use the principle of complementary probability. We first find the probability of not drawing any Queens in the five-card draw.

The total number of possible five-card draws from a deck of 52 cards is given by the combination formula C(52, 5). The number of draws without any Queens is given by the combination formula C(48, 5), as there are 48 non-Queen cards remaining after one Queen is removed from the deck.

Therefore, the probability of not drawing any Queens is C(48, 5) / C(52, 5). To find the probability of at least one Queen, we subtract this probability from 1, because it represents the complementary event.

The final probability is then 1 - (C(48, 5) / C(52, 5)), which is approximately 0.826 or 82.6%. This means that in the majority of five-card draws from a standard deck, there is a high likelihood of at least one Queen being drawn.

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the first one is 5.25 . you have to divide 10.5 by 2 and you'll get 5.25 and when you add 5.25 twice you'll get 10.5 which is the same as 10.50

Brett's claim that AABC is congruent or similar to ADEF is false

Congruence of Triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all  three corresponding angles are equal.

From the given information, we can see that both AABC and ADEF are right triangles because they have one angle that is 90 degrees.  

However, we cannot conclude that AABC and ADEF are congruent (that is, identical in size and shape) because there is not enough information to determine their side lengths and the remaining angles.

Also, we  cannot conclude that AABC and ADEF are similar (ie have the same shape but possibly different sizes) because we only know one pair of corresponding angles (ie right angles) and one pair of corresponding sides (ie AC and DF), which  not enough to show similarity.  Therefore, Brett's claim that AABC is congruent or similar to ADEF is false, and we cannot conclude that AABC-ADEF (ie the difference between these two triangles) is a triangle with well-defined sides and angles.

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the molecular formula is obtained by multiplying the empirical formula (CH) by the molecular formula ratio: Molecular formula = (CH) * 6 = C6H6

To determine the percent composition, empirical formula, and molecular formula of the substance, we need to use the given masses of the elements and the molecular mass.

a. Percent Composition:

The percent composition represents the proportion of each element's mass in the total mass of the substance.

For carbon:

Percent composition of carbon = (mass of carbon / total mass of substance) * 100

Percent composition of carbon = (43.910 g / 47.593 g) * 100

Percent composition of carbon ≈ 92.09%

For hydrogen:

Percent composition of hydrogen = (mass of hydrogen / total mass of substance) * 100

Percent composition of hydrogen = (3.683 g / 47.593 g) * 100

Percent composition of hydrogen ≈ 7.74%

Therefore, the percent composition of carbon and hydrogen in the substance is approximately 92.09% and 7.74%, respectively.

b. Empirical Formula:

The empirical formula represents the simplest ratio of the elements in a compound.

To determine the empirical formula, we need to find the mole ratios of the elements. First, we calculate the moles of each element using their masses and molar masses:

Moles of carbon = mass of carbon / molar mass of carbon

Moles of carbon = 43.910 g / 12.01 g/mol

Moles of carbon ≈ 3.659 mol

Moles of hydrogen = mass of hydrogen / molar mass of hydrogen

Moles of hydrogen = 3.683 g / 1.01 g/mol

Moles of hydrogen ≈ 3.649 mol

Next, we divide the number of moles of each element by the smallest number of moles to get the simplest ratio:

Carbon : Hydrogen ≈ 3.659 mol / 3.649 mol ≈ 1:1

The empirical formula of the substance is CH.

c. Molecular Formula:

To determine the molecular formula, we need the molecular mass of the substance.

The molecular mass is given as 78.11 u.

The empirical formula mass can be calculated by adding the molar masses of carbon and hydrogen:

Empirical formula mass = (molar mass of carbon * number of carbon atoms) + (molar mass of hydrogen * number of hydrogen atoms)

Empirical formula mass = (12.01 g/mol * 1) + (1.01 g/mol * 1)

Empirical formula mass = 13.02 g/mol

To find the molecular formula, we divide the molecular mass by the empirical formula mass and determine the whole-number ratio:

Molecular formula ratio = molecular mass / empirical formula mass

Molecular formula ratio = 78.11 g/mol / 13.02 g/mol

Molecular formula ratio ≈ 6

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The area between one standard deviation and either side of mean is 34%

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ)

95% within the first two standard deviations (µ ± 2σ)

99.7% within the first three standard deviations (µ ± 3σ).

According to the question,

If we place the flag 1 standard deviation on either side of the mean

which means flag is placed either on (µ + σ) or ( (µ - σ)

and Using Empirical rule,

68% of area lie under (µ ± σ)

Therefore , Area between either  (µ + σ) or ( (µ - σ) = 68 / 2

=> 34%

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Answer:

tbh I don't know either that's what brainley is for ☺️

Answer:

im  bored

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

3+4+2=9

9*2=18

18/2=2/18

2/18=1/9

The subshell designated by each set of quantum numbers is as follows:

a) n=3, l=1 -> 3p subshell

b) n=4, l=2 -> 4d subshell

c) n=2, l=0 -> 2s subshell

d) n=5, l=3 -> 5f subshell

In the electron configuration of an atom, each electron is described by a set of four quantum numbers, which includes the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (m), and the spin quantum number (s). The second quantum number (l) determines the shape of the subshell, which in turn influences the energy level and chemical behavior of the atom. The letter designation for each subshell is based on the value of the angular momentum quantum number (l): s (l=0), p (l=1), d (l=2), f (l=3), and so on. Therefore, for a given set of quantum numbers, we can determine the subshell designation by identifying the value of l.

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The missing sides and angles of the triangles are:

1) ∠L = 53°

LA = 23.145 ft

AB = 18.9 ft

2) ∠S = 57.31°

SA = 98.57 cm

SW = 69.12 cm

3) B = 30.71°

C = 99.29°

The law of cosine formula is expressed as:

c² = a² + b² - 2ab cos C

The Law of sines is expressed as:

a/sin A = b/sin B = c/sin C

Thus:

1) ∠L = 180 - (102 + 25)

∠L = 53°

LA/sin 102 = 10/sin 25

LA = 23.145 ft

AB = 10 * sin 53/sin 25

AB = 18.9 ft

2) ∠S = 180 - (79 + 43.69)

∠S = 57.31°

84.5/sin 57.3 = SA/sin 79

SA = 98.57 cm

SW/sin 43.69 = 84.5/sin 57.3

SW = 69.12 cm

3) 15/sin 50 = 10/sin B

sin B = (10 sin 50)/15

sin B = 0.5107

B = sin⁻¹0.5107

B = 30.71°

C = 180 - (50 + 30.71)

C = 99.29°

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The volume of Ganymede is approximately 3.48 times the volume of the Moon, based on the given diameters of the two moons and the formula for the volume of a sphere.

The volume of a sphere is the amount of space occupied by the sphere in three-dimensional space. It can be calculated using the formula V = (4/3)πr³, where V is the volume of the sphere, r is the radius of the sphere, and π (pi) is a mathematical constant approximately equal to 3.14159. This formula states that the volume of a sphere is four-thirds of the product of pi and the cube of the sphere's radius.

In the given question,

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where r is the radius of the sphere. Since we are given the diameters of the two moons, we can calculate their radii by dividing the diameters by 2. Therefore, the radius of Ganymede is 3,388/2 = 1,694 km, and the radius of the Moon is 1,245/2 = 622.5 km.

Now, we can calculate the volumes of the two moons:

V_Ganymede = (4/3)π(1694)³ ≈ 7.66 x 10^10 km³

V_Moon = (4/3)π(622.5)³ ≈ 2.2 x 10^10 km³

To find how many times larger Ganymede's volume is compared to the Moon's volume, we can divide the volume of Ganymede by the volume of the Moon:

V_Ganymede / V_Moon ≈ (7.66 x 10¹⁰) / (2.2 x 10¹⁰) ≈ 3.48

Therefore, the volume of Ganymede is approximately 3.48 times the volume of the Moon.

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ANSWER:

STEP BY STEP EXPLANATION:

Answer:

83 degrees

Step-by-step explanation:

We can use the consecutive angle theorem to find the the value of x.

We can do that by doing 5x+10.5+6x+10 = 180

After simplifying, we get 11x+20.5=180

Subtract 20.5 on both sides and you get 11x=159.5.

Divide by 11 on both sides and you get x=14.5

Now we can use opposite angle theorem and set angle N and angle T equal.

That means we could write 5x+10.5 = m<T

We can substitute 14.5 for x and we get 72.5+10.5 = m<T

Simplify and you get 83 = m<T

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

Hope this helps!

If 40% of John's sales correspond to 120 bags of potatoes, 300 bags of potatoes correspond to 120%

To solve this problem, we can use a proportion. If 40% of John's sales correspond to 120 bags of potatoes, we can set up the following proportion:

40/100 = 120/x

Here, x represents the number of bags of potatoes that correspond to 120% of John's sales. To solve for x, we can cross-multiply and simplify:

40x = 12000

x = 300

Therefore, 300 bags of potatoes correspond to 120% of John's sales. This means that if John's sales increase by 20% (from 100% to 120%), he would sell 300 bags of potatoes.

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Answer:

8 metre

Step-by-step explanation:

cost of flooring per square metre = Rs .9.50

total cost of flooring= Rs760

Area of room= 760/9.50

= 80 m^2

Area of the given room= Lenght × Breadth

length of the room is = 10 m

80= 10 × Breadth

Breadth= 80/10= 8 m

Hence, breadth of the room is 8metre