In a certain Algebra 2 class of 21 students, 12 of them play basketball and 14 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answer:

-11.545

Step-by-step explanation:

1/11(5*-6 + 2*-11 + 3*-18 + 1*-21)

The line r is the transversal and ∠1 and ∠2 are linear pairs.

When a transversal cuts parallel lines , angles formed includes corresponding angles, alternates angles, linear pair angles etc.

Therefore, p and q are the parallel lines.

The transversal is r.

The transversal r, cuts the parallel lines p and q.

Therefore, line r is the transversal and ∠1 and ∠2 are linear pairs.

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Answer:

D. Line r is the transversal and ∠1 and ∠2 are consecutive interior angles

Step-by-step explanation:

took the quiz

Answer:

it has been multiplied by 3

Step-by-step explanation:

9 x 3=27

1 x 3=3

1. The ways to show information on a map include using symbols, colors, and contours, except B. Themes.

A map displays information about distance and direction, using symbols, colors, and contours.

Typically, maps are drawn to carefully reduced scales.

Some maps display the following information:

2. The Black Forest of Germany and forests located in China and America suffer from C. Acid Rain.

Acid rain refers to sulphuric or nitric acid, falling to the ground from air, in the form of fog, hail, and dust.

Originating from atmospheric pollution, acid rain is known to cause environmental harm to:

3. The source that provides the most accurate information about a group's culture is D. Fieldwork.

Fieldwork is research conducted in a natural environment for obtaining primary data.

Fieldwork gives the most accurate information about a group's culture better than Satellite Images, Elevation Maps, and the World Globe because it is based on the group's space.

4. During the time of Christopher Columbus, the continent that would have been most accurately mapped was A. Europe.

Mapping refers to the creation of maps.

For instance, Europe was most accurately mapped than Asia, South America, and North America during the time of Columbus.

5. The two bodies of water greatly affected by irrigation are B. the Aral Sea and the Colorado River.

Irrigation is the application of water to soil to meet the needs of growing plants and ensure a bountiful harvest for farmers.

Types of irrigation systems include:

6. Mountainous regions create flat land for farming by B. Terracing.

Terracing is the method of growing crops on the sides of hills or mountains by constructing specific ridged platforms (or graduated terraces).

Terracing decreases erosion and surface runoff, supporting the growth of crops requiring irrigation, such as rice.

7. When put together, a line of latitude and longitude creates A. Absolute location.

An absolute location refers to a precise point on Earth or another defined space.

8. The process that brings water to crops is A. Irrigation, as previously defined.

9. Temperature, precipitation, and seasons are all C. Climate Characteristics.

Climate characteristics refer to climate features such as windiness, humidity, cloud cover, atmospheric pressure, and fogginess

10. Tropical/hot climate found between the Tropic of Cancer and the Tropic of Capricorn is referred to as the D. Low Latitude Climate Zone.

The low latitude climate zone implies a tropical climate with warm temperatures.

Thus, the low latitude zone covers the areas of the earth south of the equator and north of about 30 degrees latitude.

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[tex]\textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ csc(\theta )-sin(\theta )~~ = ~~cot(\theta )cos(\theta ) \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )-sin(\theta )\implies \cfrac{1}{sin(\theta )}-sin(\theta )\implies \cfrac{1~~ - ~~sin^2(\theta )}{sin(\theta )} \\\\\\ \cfrac{cos^2(\theta )}{sin(\theta )}\implies \cfrac{cos(\theta )}{sin(\theta )}\cdot cos(\theta )\implies cot(\theta )cos(\theta )[/tex]

Using the permutation formula, as the order is important, it is found that there is a 0.000331 probability of selecting the balls in the desired order.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 4 balls will be taken from a set of 9, hence the total number of outcomes is:

[tex]P_{9,4} = \frac{9!}{5!} = 3024[/tex]

The desired outcome is only one, hence the probability is given by:

p = 1/3024 = 0.000331.

There is a 0.000331 probability of selecting the balls in the desired order.

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Answer:

90,000 the answer to that question

Answer:

The ten thousands place.

Resolviendo un par de ecuaciones lineales veremos que pedro tiene 400 pesos.

Sabemos que:

María tiene 900 pesos.

Juan tiene el doble de la tercera parte de María, entonces:

J = (2/3)*$900 = $600

Juan tiene 600 pesos.

Finalmente, sabemos que la suma del dinero de Pedro y Juan es de $1,000 pesos, entonces tenemos que resolver la ecuación lineal:

P + J = $1,000

P + $600 = $1,000

P = $1,000 - $600 = $400

Pedro tiene 400 pesos.

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Once the apartment complex have been turned to a parking area, the total parking area will be 1620 square units

From the complete question, the parking area consists of the following shapes and dimensions

The area of a rectangle is the product of its dimensions.

So, the area of the parking area is:

Area = 28x40 + 20x25

Evaluate the products

Area = 1120 + 500

Evaluate the sum

Area = 1620

Hence, the total area of the parking area is 1620 square units

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Answer:

54 kids per bus

Step-by-step explanation:

first take 7-331 and you get 324 divided by 6= 54

Answer:

pattern P: 8,13,23,43,83

pattern Q: 6,10,18,34,66

The tables that contain the first 5 elements of both patterns are:

For pattern P we start at 8, and to get the next element we multiply by 2, and then subtract 3.

So the first 5 elements are:

[tex]a_1 = 8\\\\a_2 = 2*8 - 3 = 13\\\\a_3 = 2*13 - 3 = 23\\\\a_4 = 2*23 - 3 = 43\\\\a_5 = 2*43 - 3 = 83[/tex]

For pattern Q we start at 6, and then we subtract 2 and multiply by 2 to get the next element.

[tex]b_1 = 6\\\\b_2 = (6 - 2)*2 = 8\\\\b_3 = (8 - 2)*2 = 12\\\\b_4 = (12 - 2)*2 = 20\\\\b_5 = (20 - 2)*2 = 36\\\\[/tex]

Then the tables that contain the first 5 elements of both patterns are:

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Answer:

(π6x+21π)m²

Step-by-step explanation:

Solution,

For small circle

radius(r)=x+2

Area(A1)=πr²

Area(A1)=π×(x+2)²

Area(A1)=π×(x²+4x+4)

Area(A1)=πx²+π4x+4π

For big circle

radius(r)=x+5

Area(A2)=πr²

Area(A2)=π×(x+5)²

Area(A2)=π×(x²+10x+25)

Area(A2)=πx²+π10x+25π

Again,

Area of shaded part=A2-A1

Area of shaded part=πx²+π10x+25π-(πx²+π4x+4π)

Area of shaded part=πx²+π10x+25π-πx²-π4x-4π

Area of shaded part=π6x+21π

Step-by-step explanation:

i)

Consider the exponential equation

[tex]y = a {e}^{bt} [/tex]

Now Substitute these points to get a and b value

(0,37000) , (1,20350)

[tex]37000 = a \times {e}^{b \times 0} [/tex]

[tex]37000 = a \times 1[/tex]

Hence a=37000

Now Substitute t=1

[tex]20350 = 37000 \times {e}^{b \times 1} [/tex]

[tex] \frac{20350}{37000} = {e}^{b} [/tex]

[tex]0.55 = {e}^{b} [/tex]

[tex]b = log_{e}(0.55) = - 0.5978[/tex]

b≈(-0.6)

[tex]y = 37000 {e}^{ - 0.6t} [/tex]

is the required equation

ii)

[tex]y = 37000 {e}^{ - 0.6 \times 0.4} [/tex]

[tex]y = 37000 {e}^{ - 0.24} [/tex]

iii) it decreases by a factor of

[tex] {e}^{0.6} [/tex]

every decade

So the factor by which the price of car decreases every year is

[tex] {e}^{ \frac{0.6}{10} } [/tex]

as 1year =1/10 decade

Hence the required factor

[tex] {e}^{0.06} [/tex]

I hope it helped you

Answer:

-1

Step-by-step explanation:

The order of operation (PEMDAS) states that:

Given expression:

We can see that "-6" is the integer that is inside the parenthesis "( )". Therefore, we can open the parenthesis "( )".

Simplify the expression inside the curvy brackets "{ }" using PEMDAS.

Now we can open the curvy brackets "{ }".      

Simplify the expression inside the long brackets "[ ]" using PEMDAS.

Finally, open the long brackets "[ ]" and simplify the expression obtained.

Answer:

dont worry if people report you for a answer that is not right lol trust me i know

Step-by-step explanation:

Answer:

C but if its not correct pls tell me. :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The formula for volume is length × width × height

2×1×2= 4

3×1×1= 3

4×1×2= 8

3×1×3= 9

So D has the biggest volume.

Answer:

96

Step-by-step explanation:

y=8.3x

x=4

Substituting x as 4,

y=8*3*4

y=8*12

y=96

Hence, x=4, y=96

Answer:

Acute and Scalene

Step-by-step explanation:

The measurments of the triangle are all almost equal and all the angles are less than 90 degrees, so all of them are acute angles. The scalene triangle has almost all equal sides.

The possible way to classify the triangle by side and angle measurements is,

⇒ Acute and scalene.

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm with angle measures of 55°, 60°, and 65°.

Since, All the angles are less than 90 degree.

Hence, It shows the Acute angle.

Here, Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm.

Clearly, All the sides of triangle are not same in length.

Thus, It shows scalene.

Thus, The possible way to classify the triangle by side and angle measurements is,

⇒ Acute and scalene.

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Answer: 3/4

Step-by-step explanation:

Every fourth number is divisible by 4 and every 3 out of 4 is not divisible.

There are 25 multiples of 4 (4*1 through 4*25)

So the indicated probability = 75/100

= 3/4  

The observed and expected frequencies for Item 2 produced by Plant B will be 12 and 17.3.

It should be noted that observed frequency simply means counts that are made from experimental data.

Here, the observed frequencies for Item 2 produced by Plant B is 12. The expected frequency will be:

= (15 + 12 + 25)/3

= 52/3

= 17.3

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Answer:

171 Square Feet

Step-by-step explanation:

We first cut the figure up into smaller parts...

we then use the formula (L x W = A) to find the area

L = Lenth

W = Width

the first rectangle (1)...

15 x 5 = 75

the second figure (2)...

8 x 9 = 72

the third figure (3)...

6 x 4 = 24

now we have to add up all the values to find the area of the entire figure...

75 + 72 + 24 = 171

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The solution of the equation is approximately x = 4 and there are no other solutions

The equation is given as

0.1(2^x) = 4/x

Also, we have the table of values as one of the given parameters

Next, we check the table of values

From the table of values, we can see that:

The value of x is between x = 3 and x = 4

This is so because the values of the expressions 0.1(2^x) and 4/x are closest at these values

However, the value of x is closer to 4 than 3

This means that

x = 4 (approximately)

Hence, the solution of the equation is approximately x = 4 and there are no other solutions

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[tex] {m}^{2} = 7 \times (7 + 11)[/tex]

[tex] {m}^{2} = 7 \times 18[/tex]

[tex] {m}^{2} = 126[/tex]

[tex]m = \sqrt{126} [/tex]

Answer:

To find the complex conjugate, negate the term with i

.

32−14i

Step-by-step explanation:

Answer: 10 Inches

Step-by-step explanation: