a drawing class was assigned a final project where students had to choose one art medium and one genre. the professor kept track of the types of projects submitted. portrait landscape acrylic paint 3 4 oil paint 2 2 what is the probability that a randomly selected student used acrylic paint given that the student chose to create a portrait? simplify any fractions.

Answer:

assuming that there are an equal number of colored marbles in the bag and their total is 20 marbles in the bag:

C) 17/20

Step-by-step explanation:

HEY CASS

Answer:

Well......

Hey

Hi

Hello

I'm to lazy to put anything else but...

You look Beautiful today ❤

Answer:

400 yards

Step-by-step explanation:

300+x>600

x>300, to be a multiple of 100,  the third side must be 400 yards

the integral of the function f(x,y,z) = 2xyz over the cube with sides of length 2 is:

∭_V 2xyz dV = 2 ∭_V xyz dV = 2(1/2) = 1

To evaluate the integral of the function f(x,y,z) = 2xyz over the cube with sides of length 2, we need to set up the triple integral:

∭_V 2xyz dV

where V is the volume of the cube with sides of length 2. Since the cube has sides of length 2, its volume is 2³ = 8. Therefore, we can rewrite the integral as:

∭_V 2xyz dV = 2 ∭_V xyz dV

To evaluate this triple integral, we need to choose an order of integration. Let's choose the order z, y, x. Then we can write:

∭_V xyz dV = ∫_-1¹ ∫_-1¹ ∫_-1¹ xyz dzdydx

Integrating with respect to z first, we get:

∫_-1¹ ∫_-1¹ ∫_-1¹ xyz dzdydx = ∫_-1¹ ∫_-1¹ (xy/2) dydx

= ∫_-1¹ [x/4] dx = [x²/8] from x = -1 to x = 1

= 1/4 - (-1/4) = 1/2

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Answer:

  (a, b, c) = (0, -4, 4)

Step-by-step explanation:

Any of a variety of calculators, spreadsheets, or web sites can solve these equations for you. A calculator result is attached. It shows the solution to be ...

  (a, b, c) = (0, -4, 4)

__

If you'd like to solve the system by hand, here's one way:

Add the three equations together:

  (2a +b +c) +(2b +c +a) +(2c +a +b) = (0) +(-4) +(4)

  4a +4b +4c = 0 . . . . simplify

  a +b +c = 0 . . . . . divide by 4

Substitute this into each of the other equations:

  a +(a +b +c) = 0   ⇒   a +0 = 0   ⇒   a = 0

  b +(a +b +c) = -4   ⇒   b +0 = -4   ⇒   b = -4

  c +(a +b +c) = 4   ⇒   c +0 = 4   ⇒   c = 4

Answer:

\(10\) four point questions and \(30\) two point questions

Step-by-step explanation:

Let's say \(f =\) \(\text{number of four point questions}\) and\(t = \text{number of two point questions}\). The total number of questions is \(40\), therefore \(t + f = 40\). We know the test is worth \(100\) points so we can write \(2t + 4f = 100\). We have a system of equations: \(t + f = 40 \text{ and } 2t + 4f = 100\). We can rewrite \(t\) as \(t = 40 - f\). We rewrite this in the equation \(2t + 4f = 100\). Since \(t = 40 - f\), we have \(2 \cdot (40 - f) + 4f = 100\). Distributing & simplifying gives

\(2 \cdot (40 - f) + 4f = 100\\(80 - 2f) + 4f = 100,\\\text{Remove parentheses} 80 - 2f + 4f = 100,\\80 + (-2f) + 4f = 100\\80 + 2f = 100,\\\text{Subtract 80 from both sides} 2f = 20,\\\text{Divide 2 by both sides} f = 10.\\\)

Since we determined \(t = 40 - f\) and \(f = 10\), subtracting \(10\) from \(40\) will give \(t = 30\).

Therefore, there are \(10\) four point questions and \(30\) two point questions.

Hope that helps!

Answer:

The two consecutive even integers

:

(

4

,

6

)

or

(

−

6

,

−

4

)Step-by-step explanation:

n

and

n

−

2

be the two consecutive even integers,where

n

∈

Z

Product of

n

and

n

−

2

is 24

i

.

e

.

n

(

n

−

2

)

=

24

⇒

n

2

−

2

n

−

24

=

0

Now,

[

(

−

6

)

+

4

=

−

2

and

(

−

6

)

×

4

=

−

24

]

∴

n

2

−

6

n

+

4

n

−

24

=

0

∴

n

(

n

−

6

)

+

4

(

n

−

6

)

=

0

∴

(

n

−

6

)

(

n

+

4

)

=

0

∴

n

−

6

=

0

or

n

+

4

=

0

...

→

[

n

∈

Z

]

⇒

n

=

6

or

n

=

−

4

(

i

)

n

=

6

⇒

n

−

2

=

6

−

2

=

4

So,the two consecutive even integers

:

(

4

,

6

)

(

i

i

)

)

n

=

−

4

⇒

n

−

2

=

−

4

−

2

=

−

6

So,the two consecutive even integers

:

(

−

6

,

−

4

)

Answer:

23/15

Step-by-step explanation:

Step 1:

2 5/15 - 12/15

Step 2:

35/15 - 12/15

Answer:

23/15

Hope This Helps :)

Answer:

for st1: It's Given

For St2: Definition

For St3: Dividing BE as BF and FE or You can write From Figure:

For St4: You can write From st3

for st5: From St 4

For St7 : They are congruent by SSS axiom

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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Answer:

To find the exact value of the cosine of 135 degrees, we can use the fact that the cosine of an angle is equal to the negative of the sine of that angle's supplement. The supplement of 135 degrees is 45 degrees, and the sine of 45 degrees is 0.7071067811865476 (or 1/sqrt(2)). Therefore, the cosine of 135 degrees is equal to the negative of 0.7071067811865476, or -0.7071067811865476.

The angle 135 degrees is in the third quadrant, where the sine and cosine are both negative.

The angle with the horizontal for an angle of 135 degrees is 45 degrees.

Answer:

(T - 1)(x, y) = (x - 4, y - 3)

Step-by-step explanation:

For a given transformation:

T(x, y) = (x', y')

the inverse transformation is defined by:

(T - 1)(x', y') = (x, y)

So, if our transformation is:

T(x, y) = (x + 4, y + 3)

Then for the inverse transformation, we should have:

(T - 1)(x + 4, y + 3) = (x, y)

So the inverse transformation reduces the x-value by 4, and reduces the y-value by 3.

Writing the inverse transformation for a generic (x, y) point, we get:

(T - 1)(x, y) = (x - 4, y - 3)

Answer:

\( \dfrac{2 + 20}{n} \)

Step-by-step explanation:

\( \dfrac{2 + 20}{n} \)

Answer:

I think your answer is 10

Step-by-step explanation:

Answer:

y is 8

Step-by-step explanation:

since this is a 30 60 90 triangle side a is x sqrt3 side b (which is y) is x and side c is 2x. since side c is 16 you divide by two or 16/2x and find x which 8 and since x is 8 and c is two times side b ur answer is 8 my friend

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

The answer to the probability that 113 or fewer people in this sample have had chickenpox in their childhood is 0.1422

The probability that 113 or fewer people in this sample have had chickenpox in their childhood is 0.1422(rounded to four decimal places).

Step-by-step explanation : We can use the binomial probability formula to solve this problem.                                                                     Let's assume p be the probability that a person had chickenpox in their childhood.                                                                                  q = 1 - p is the probability that a person did not have chickenpox in their childhood.                                                                                           n is the sample size which is 400.                                                                                                                                                                                                                                                                             The formula is as follows:P(X ≤ 113) = P(X = 0) + P(X = 1) + ... + P(X = 113)P(X = k) = C(n, k) * p^k * q^(n-k) where C(n, k) is the combination of n objects taken k at a time which is given by n!/k!(n-k)! Substituting the values of n, p, q, and k in the formula we get, P(X ≤ 113) = ∑ C(400, k) * p^k * q^(n-k) , for k = 0 to k = 113.

We can calculate the probability  using a calculator or Microsoft Excel.

Using the Excel formula = BINOM.DIST(113,400,0.17,TRUE) we get the answer as 0.1422(rounded to four decimal places).Therefore, the probability that 113 or fewer people in this sample have had chickenpox in their childhood is 0.1422 (rounded to four decimal places).

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Answer:

Step-by-step explanation:

5.27=3.40+.85x

1.87=.85x

2.2=x

Answer:

(- infinity, +2]

Step-by-step explanation:

the range is the interval of numbers for possible y (result) values of a function.

so, what y values are possible here ?

clearly it goes from the very bottom, negative infinity, up to 2.

I see no way for other y values (> 2).

and usually we write such an interval with an open end bracket "(" or ")" on the side of infinity, because infinity is not a value and can never be reached. and the included end bracket "[" or "]" is used on an end, where we have a specific (and really included) value.

The dimensions of the logo on the business card, after being reduced by a scale factor of 0.4, would be 1 centimeter (width) by 4 centimeters (height).

To find the dimensions of the logo on the business card, we need to multiply the original dimensions by the scale factor of 0.4.

The original width of the logo is 2.5 centimeters, so when we multiply it by 0.4, we get:

2.5 cm * 0.4 = 1 centimeter (width)

Similarly, the original height of the logo is 10 centimeters, so when we multiply it by 0.4, we get:

10 cm * 0.4 = 4 centimeters (height)

Therefore, the dimensions of the logo on the business card would be 1 centimeter (width) by 4 centimeters (height). This reduction ensures that the logo fits appropriately on the business card while maintaining its proportions.

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The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592

(a) Mean The mean (or average) of a dataset is calculated by summing up all the values and dividing by the total number of values.

The formula for calculating the mean is: `mean = (sum of values) / (total number of values)`For the given dataset, we have:20, 50, 22, 14, 23, 10

Sum of values = 20 + 50 + 22 + 14 + 23 + 10 = 139

Total number of values = 6Therefore, the mean is given by: `mean = 139 / 6 = 23.17`Answer: 23.17 (rounded to two decimal places)

(b) Median To find the median, we need to arrange the dataset in increasing order:10, 14, 20, 22, 23, 50The median is the middle value of the dataset. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values. Here, we have 6 values, so the median is the average of the two middle values: `median = (20 + 22) / 2 = 21` Answer: 21(e)

Sample variance s²The sample variance is calculated by finding the mean of the squared differences between each value and the mean of the dataset.

The formula for calculating the sample variance is: `s² = ∑(x - mean)² / (n - 1)`where `∑` means "sum of", `x` is each individual value in the dataset, `mean` is the mean of the dataset, and `n` is the total number of values.For the given dataset, we have already calculated the mean to be 23.17.

Now, we need to calculate the squared differences between each value and the mean:

20 - 23.17 = -3.1722 - 23.17

= -1.170 - 23.17

= -13 - 23.17

= -9.1723 - 23.17

= -0.1710 - 23.17

= -13.17

The sum of the squared differences is given by:

∑(x - mean)² = (-3.17)² + (-1.17)² + (-13.17)² + (-9.17)² + (-0.17)² + (-13.17)²

= 867.7959

Therefore, the sample variance is given by: `s² = 867.7959 / (6 - 1) = 173.5592`Answer: 173.5592 (rounded to four decimal places)

The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592

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The addition inequality 37 + x ≥ 42 can be used to determine how much taller William must be to ride the coaster, where x represents the additional height he needs to meet the height requirement.

To write an addition inequality to determine how much taller William must be to ride the coaster, we first need to convert his height to inches. Since he is 3 feet 1 inch tall, his height is (3 x 12) + 1 = 37 inches.

Let x be the amount of additional height William needs to ride the roller coaster. The inequality can be written as:

37 + x ≥ 42

This inequality ensures that William's total height after adding x must be greater than or equal to the required height of 42 inches to ride the roller coaster.

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Answer:

What is Non Euclidean Geometry?Is this page helpful?Geometry is a vital part of mathematics. It discusses the shape and structure of different geometrical figures. Greek mathematician Euclid employed a type of geometry, which studies the plane and solid figure of geometry with the help of theorems and axioms. It is known as Euclidean geometry. Non Euclidean geometry is the opposite of euclidean geometry. Non Euclid geometry is a part of non Euclid mathematics. It discusses the hyperbolic and spherical figures. It is also known as hyperbolic geometry. The figures of non-Euclidean geometry do not satisfy Euclid's parallel postulate. It is the main reason for the existence of non-Euclidean geometry. In this article, we are going to discuss non-Euclidean geometry in detail. Invention of Non Euclidean GeometryGreek mathematician Euclid presented the concept of Euclidean geometry. At that time, people used to think that there is only one type of geometry called euclidean. A wrong idea was present that all the geometrical figures satisfy Euclid's parallel postulate. Here comes the concept of non euclidean geometry. The great mathematician Carl Friedrich Gauss realized that all the geometrical figures could not satisfy Euclid's parallel postulate. The figures that don't satisfy Euclid's parallel postulate are non euclidean. Gauss described those figures as non-Euclidean, and thus the concept of non Euclidean space arrived in geometry.

Step-by-step explanation:

Might wanna post this in history or geometry btw I did a lot of research on this so might wanna summarize this and put it in your own word have a wonderful day

is the question saying combined it was 1112 hours???? or each day?

Answer:

$11.98

Step-by-step explanation:

143.75/12

I think you meant 12 instead of 1112 hours

plzz mark me brainlest, need it to level up

Answer:

i think it is 3 miles but dunno

Step-by-step explanation:

When two angles add to 90°, we say they "Complement" each other.

So if two angles are complementary,

then the sum of their measures is 90 degrees.

For example, if we had a 62 degree angle and an 18 degree angle,

these two angles are complementary because they add to 90 degrees.

Answer:

So the sequence of the five numbers are;

10,26,74,218,650

Step-by-step explanation:

In this question, we are interested in building a sequence of 5 numbers given the initial term.

Okay, to build this sequence, we will need to look at the rule that guides the building of the new sequence:

The rule is that the next term is 4 less than 3 times the previous term.

Okay, let’s call the next term y, while the previous term is x.

Following what was specified in the question;

y = 3x -4

Recall; the next term(y) is 4 less (-4) than 3 times (3 multiplied by) the previous term (x)

So let’s start with the initial term of 10.

The next term will be;

y = 3(10) -4 = 30-4 = 26

The next term after 26 will be ;

y = 3(26) -4 = 78-4 = 74

The next term after 74 will be;

y = 3(74) -4 = 222-4 = 218

The next term after 218 will be;

y = 3(218) -4 = 650

Answer:

135°

Step-by-step explanation:

Considering it's estimation, there isn't too much of an explanation, but here you go anyways.

A straight angle is equal to 180°. DBE is a straight angle.

DBC and CBE added together appear to be 180° (supplementary).

We are trying to find DBC. An obtuse angle has to be over 90°, which in this case DBC clearly is over 90°. From that you can conclude it isn't any of the first 3, so it's D. 135°

hope this helps and give brainliest if I am epic blah blah blah ;)