What is a 20% tip on a $30 meal

The sum of these 40 sampled numbers follows option D: normal distribution, if X follows Poisson distribution.

The likelihood that a certain number of events will occur in a specific period of time or space, provided that they do so with a known constant mean rate and the Poisson distribution describes the distribution of events, regardless of the time since the previous event. When the mean is high, the sum of the Poisson distribution resembles a normal distribution.

The "normal distribution," a continuous probability distribution that is symmetrical at the mean and has a bell-shaped curve. It is also known as the bell curve or the Gaussian distribution. Several natural phenomena, including height, weight, blood pressure, and others, have a normal distribution.

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Answer:

x=1 or x=5

Step-by-step explanation:

x2−6x+5=0

Step 1: Factor left side of equation.

(x−1)(x−5)=0

Step 2: Set factors equal to 0.

x=1 or x=5

Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)

Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).

\(\pink{\underline{{\boxed{\bf{QUESTION: }}}}}\)

-6(x+4) = _____

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-6(x+4) = -6x - 24

Answer: 3 1/4

Step-by-step explanation: you started with 8 1/4 subtract the 1/4 now ur left with 8-3 which equals 5

Answer:

10

Step-by-step explanation:

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Answer: L = 10

Explanation:

The formula is L x W x H

We can do L * 0.5 * 11 = 55

L * 5.5 = 55

L  = 10

I hope this helped!

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Therefore , as a result Two of a triangle's sides and the included  SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.

The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.

Here,

if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.

Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.

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Answer:

- sinu

Step-by-step explanation:

using the difference identity for sine

sin(a - b) = sinacosb - cosasinb

then

sin(u - π )

= sinucosπ - cosusinπ

= sinu(- 1) - cosu(0)

= - sinu - 0

= - sinu

Answer: Read the solution

Step-by-step explanation:

A. For diagram A, triangles ANC and BDE are similar. Thus, we can use similarity ratios to find the length of AC. (x+1)/12 = (x+5)/15. 15x+15=12x+60. Thus 3x=45, and x=15. Since we need to find AC, AC = 15+1 = 16.

B. For diagram B, triangles SRT and VUT are similar. Again, using similarity ratios, (4x-1)/14=(x+2)/6 or 14x+28=24x-6. 10x=34, x=3.4.

Answer:

Know the properties of vertical angles.

Step-by-step explanation:

Vertical angles are equal to each other, so we must make them equal to each other in an equation:

6x+2=80

6x=78

x=13

Check the picture below.

\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{10^2+4^2-7^2}{2(10)(4)}\right)=\measuredangle A \implies \cos^{-1}\left(\cfrac{ 67 }{ 80 }\right)=\measuredangle A \\\\\\ \cos^{-1}(0.8375) = \measuredangle A \implies 33.12^o \approx \measuredangle A\)

Make sure your calculator is in Degree mode.

Answer:

it would be false

Step-by-step explanation:

the reason it is false is even though you have lots of money you still arent safe just by having money you need to be protected both on car and your self and other things

Answer:

I'm sorry, I don't understand the question or the answers well. could you repost?

Step-by-step explanation:

Answer:

I would say f(x)=5x+7 because the y-values are going up by 5 each time, so to find the y-intercept you need to subtract 5 from 12 and you get 7. The third answer is the only one that has 7 as a y-intercept.

Step-by-step explanation:

Therefore, it will take 12.52 hours

Answer: \(f(-2)=13, g(-6)=-8\)

Step-by-step explanation:

\(f(-2)=-2(-2)^3 -3=13\\\\g(-6)=2(-6)+4=-8\)

The values of functions f(-2) and g(-6) are 13 and -8 respectively.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

It is given in the question  that:-

\(f (x) = -2x^3 - 3\)

g(x) = 2x + 4

We have to find the values of f(-2) and g(-6).

Putting x = -2 in f(x), we get,

f(-2) = \(-2(-2)^3 - 3\) = -2*(-8) - 3 = 16 - 3 = 13

Putting x = -6 in g(x), we get,

g(-6) = 2(-6) + 4 = -12 + 4 = -8

Hence, the values of functions f(-2) and g(-6) are 13 and -8 respectively.

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Answer:1

Step-by-step explanation:

1

1

1

1

1

1

1

Answer:

The one the left Will most likely land on 5,6, and 1 and less likely to land on 2,3,and 4 and the one on the right you are more likely to land on all equally

Step-by-step explanation:

Answer:

y= -3yx + 9x - 37

Step-by-step explanation:

Find the Equation Using Slope-Intercept Form

Answer:

y= - (1/3) x + 9

Step-by-step explanation:

y = m x +b  === m is slope, b is y-intercept

Solve given equation for y to find parallel slope -- y = - (1/3) x + 3

so parallel slope is - (1/3)

substitute point  & slope into equation to find b

8 = - (1/3) (3) + b

b = 9

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

-17

Step-by-step explanation:

x+7=-10

x=-10-7

x=-17

Answer:

-10+x= -7

Step-by-step explanation:

Are you on k12?

Answer:

I don't think so

Step-by-step explanation:

The sum is the numbers added together and 3+1 -5 -8 -2+1=-10 so you did not get 5

No, Cameron will not win the game.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

A card game requires that you have a sum of 5 in order to win.

Now, Let us calculate the sum of the cards.

= 3 + 11 + (-5) + (-8) + (-2) + 1

= 0.

Since, the sum is not equal to 5,

Hence, Cameron will not win the game.

So, Cameron needs to draw more cards and hope that they add up to 5 to win the game.

Thus, Cameron will not win the game.

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Answer:

1-2 yards

Step-by-step explanation:

For most decorative throw pillows you will need 1-2 yards , depending on the size and details you choose to include

The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.

the distance between the two planes is represented by the variable D, and time is represented by the variable t.

At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.

Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.

To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:

D^2 = (2000 km)^2 + (3600 km)^2

Simplifying the equation:

D^2 = 4000000 km^2 + 12960000 km^2

D^2 = 16960000 km^2

Taking the square root of both sides:

D = sqrt(16960000) km

D = 4120 km

Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time

dD/dt = 0

Since the distance between the planes is constant, the rate of change is zero.

Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

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We have that The average number of minutes it takes her to run 1 mile

\(X=42min\)

From the Question we are told that

Katerina runs 15 miles in 2 1/2 hours

Average number of minutes it takes her to run 1 mile

Generally

\(2 1/2 hour=10.5h\)

\(10.5hours=630minutes\)

Therefore

The average number of minutes it takes her to run 1 mile

\(X=\frac{630}{15}\)

\(X=42min\)

In conclusion

The average number of minutes it takes her to run 1 mile

\(X=42min\)

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a) There are 2^6 = 64 subsets total.

b)  There are 2^3 = 8 subsets total

c) There are 2^5 = 32 subsets total

d) There are 32^4 = 48 subsets total

e)  There are (6 choose 4) = 15 subsets total

f)   There are 32 = 6 subsets total

g) There are is (6 choose 4) - (3 choose 4) = 15 - 0 = 15 subsets total

h) There are (3 choose 1) * (3 choose 3) = 3  subsets total

a) There are 2^6 = 64 subsets total.

b)  Since we need to include elements 2, 3, and 5 in a subset, we have 3 elements fixed, and we need to choose 1, 2, or 3 elements from the remaining 3 elements (1, 4, and 6). Therefore, there are 2^3 = 8 subsets that contain the elements 2, 3, and 5.

c) There are 2^5 = 32 subsets that contain at least one odd number. This can be seen by noticing that if a subset does not contain any odd numbers, then it must be {2,4,6}, which is not a valid subset since it does not satisfy the condition that it be a subset of S.

d) There are 32^4 = 48 subsets that contain exactly one even number. To see why, notice that there are 3 choices for which even number to include (2, 4, or 6), and then there are 2^4 = 16 choices for which of the remaining 4 odd numbers to include in the subset.

e) There are (6 choose 4) = 15 subsets of cardinality 4. This is the number of ways to choose 4 elements from a set of 6.

f) Since we need to include elements 2, 3, and 5 in a subset of cardinality 4, we have 3 elements fixed, and we need to choose 1 element from the remaining 3 even elements, and 1 element from the remaining 2 odd elements. Therefore, there are 32 = 6 subsets of cardinality 4 that contain the elements 2, 3, and 5.

g) The number of subsets of cardinality 4 that contain at least one odd number is equal to the total number of subsets of cardinality 4 minus the number of subsets of cardinality 4 that contain only even numbers. This is (6 choose 4) - (3 choose 4) = 15 - 0 = 15.

h) The number of subsets of cardinality 4 that contain exactly one even number is equal to the number of ways to choose 1 even number out of 3, and then the number of ways to choose 3 odd numbers out of 3. This is (3 choose 1) * (3 choose 3) = 3.

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Answer:

a) There are 3 significant numbers in 768

b) There are 2 significant numbers in 0.000086

c) There are 2 significant numbers in 8.0

d) There are 5 significant numbers in 43,000

e)  There are 11 significant numbers in 3.0200x10^6

f) There are 5 significant numbers in 7.9800

g) There are 6 significant numbers in 98.0010

h) There are 5 significant numbers in 0.0087600

i) There are 3 significant numbers in 0.00202

Step-by-step explanation:

How many significant figures are in each of these numbers?

a) 768

There is no decimal so, all digits are significant numbers.

There are 3 significant numbers in 768

b) 0.000086

There is decimal point in this number. Zero's on leading (right) side of the number are not considered significant. Only non-zero values are considered significant.

So,  There are 2 significant numbers in 0.000086

c) 8.0

There is decimal point in this number. Digits on left side and right side of the decimal are considered significant

So,  There are 2 significant numbers in 8.0

d) 43,000

There is no decimal so, all digits are significant numbers.

There are 5 significant numbers in 43,000

e) 3.0200x10^6

It can be written as: 3.0200000000

There is decimal point in this number. Digits on left side and right side of the decimal are considered significant

So,  There are 11 significant numbers in 3.0200x10^6

f) 7.9800

There is decimal point in this number. Digits on left side and right side of the decimal are considered significant

So,  There are 5 significant numbers in 7.9800

g) 98.0010

There is decimal point in this number. Digits on left side and right side of the decimal are considered significant

So, There are 6 significant numbers in 98.0010

h) 0.0087600

There is decimal point in this number. Zero's on leading (right) side of the number are not considered significant. Only non-zero values are considered significant.

So, There are 5 significant numbers in 0.0087600

i) 0.00202​

There is decimal point in this number. Zero's on leading (right) side of the number are not considered significant. Only non-zero values are considered significant.

So, There are 3 significant numbers in 0.00202