A committee of seven Congressmen will be selected from a group of six democrats and nine republicans. Find the number of ways of obtaining exactly one democrat

Answer:

answer is either a or d

Step-by-step explanation:

The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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Answer:

Step-by-step explanation:

im assuming were solving for k so we wanna get it by itself

9k - 18 = -6

start by adding 18 to both sides

9k = 12

then divide both sides by 9

k = 12/9

hope this helps <3

Answer:

the answer is

k= 4/3

Step-by-step explanation:

9k-18=-6

9k=-6+18

9k=12

k= 12/9

simplify it which gives k=4/3 or in decimal form 1.333

The fraction 20/3 rounded to the nearest hundredth is 6.67.

We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given, A fraction 20/3, First we'll convert this fraction into a decimal.

So, 20/3 is equal to 6.666666....

Therefore,  20/3 to the nearest hundredth of a foot is equal to 6.67.

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Answer:

500*10^6 L or 5.00*10^8 L.

Step-by-step explanation:

Capital M shows mega which equal to 10^6.

So, 500 ML = 500*10^6 L

or 5.00*10^8 L.

Answer:

0.5

Step-by-step explanation:

Step 1:

1 L = 1000 ML

Step 2:

500 ML ÷ 1000

Answer:

0.5 L

Hope This Helps :)

We have the following:

We must calculate the solution since that is the point of intersection.

we equalize the equations and we have:

for y:

The point is (1, -1)

Therefore, the answer is the graph A.

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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The measure of ∠BPO is 48°.

Since PD bisects ∠BPA, we can say:

∠AOC = ∠BOC .

Thus, ∠ BOC = 42°

Since PB is tangent to the circle, PBO = 90°.

Looking at triangle PBO, we can say:

∠BPO + ∠PBO + ∠BOC = 180  (angles in a triangle add up to 180)

∠BPO + 90 + 42 = 180

∠BPO + 132 = 180

∠BPO = 180 - 32

∠BPO = 48°

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Complete Question

Check image attached

Answer:

no u

Step-by-step explanation: no no no no no no no no no

Answer:

The answer is 11

Step-by-step explanation:

√11 × √11 = √121 = 11

Thus, The answer is 11

Answer:

\( \sf \: \sqrt{11} \times \sqrt{11} = 11 \)

Step-by-step explanation:

Given problem,

→ √11 × √11

Let's solve the problem,

→ √11 × √11

→ √(11 × 11)

→ √(121)

→ √121 = 11

Hence, the answer is 11.

Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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Answer:

The cordinates are:

y = 3

x = 4

Step-by-step explanation:

If you draw a line in the middle of the triangle

It Will go through the base at point V

point V can be marked at y=3 and x=4 the line drawn will intersect 0

The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with

Two dots at 0

One dot at 2

Two dots at 3

Four dots each at 4, 5, and 6

One dot at 7

A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.

The data can be presented as follows;

2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6

The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.

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The area of "shaded-region" formed between the two circles having radius as 14 and 6, is 160π square units.

The area of region between "two-circles" can be calculated as area of the "larger-circle" minus area of "smaller-circle".

The "larger-circle" is having radius of = 14 units;

The "smaller-circle" is having radius = 6 units;

So, we can find the area of the region as:

Area = π(14)² - π(6)²;

Area = π(196 - 36),

Area = π(160),

Therefore, area of the region between the two circles is 160π square units.

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The given question is incomplete, the complete question is

Find the area of the shaded region in the figure below if the radius of the outer circle is 14 and the radius of the inner circle is 6. Keep your answer in terms of π.

The distinguishing feature between a square and a rectangle is that all sides of a square are equal in length.

Yes, a square is a special type of rectangle because it possesses all the properties of a rectangle.

The distinguishing feature of a rhombus is that all sides are equal in length, while a parallelogram can have unequal side lengths.

Yes, a rhombus is a special type of parallelogram because it possesses the properties of a parallelogram and has all sides equal in length.

The three features used to describe 3-dimensional objects are faces, edges, and vertices.

The common properties between a square and a rectangle are that both have four sides, four right angles (90 degrees), and opposite sides that are parallel. The distinguishing feature is that all sides of a square are equal in length, while a rectangle can have unequal side lengths.

Yes, a square is a special type of rectangle. A rectangle is defined as a quadrilateral with four right angles, while a square is a specific type of rectangle where all sides are equal in length. Since a square possesses all the properties of a rectangle, including four right angles, it can be considered a special case of a rectangle.

The common properties between a rhombus and a parallelogram are that both have four sides and opposite sides that are parallel. The distinguishing feature of a rhombus is that all sides are equal in length, while in a parallelogram, the opposite sides are equal in length.

Yes, a rhombus is a special type of parallelogram. A parallelogram is defined as a quadrilateral with opposite sides that are parallel. A rhombus possesses this property, but it also has the additional feature of having all sides equal in length. Therefore, a rhombus can be considered a special case of a parallelogram.

The three features used to describe 3-dimensional objects are:

Faces: The flat surfaces that make up the object.

Edges: The lines where two faces intersect.

Vertices: The points where multiple edges meet.

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Answer:

( 40 37 , − 39 37 )

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

152+84=236

300-236=64

When in a right angle triangle, the right angle has two angles inside it i.e. x+4° and  3x+2°, x is equal to 21.

what exactly is a triangle?

A triangle is a three-sided polygon, which is a two-dimensional shape with straight sides. It is one of the simplest and most common geometric shapes in mathematics. A triangle is defined by its three sides and three angles.

The total sum of the angles of a triangle is always equal to 180 °. The length of the sides and the size of the angles can vary, giving rise to different types of triangles, such as equilateral, isosceles, scalene, acute, obtuse, and right triangles.

Now,

The sum of two adjacent angles inside a 90° angle is 90°. So, we can set up an equation:

x + 4 + 3x + 2 = 90

Simplifying the left side by combining like terms:

4x + 6 = 90

Subtracting 6 from both sides:

4x = 84

Dividing by 4:

x = 21

Therefore, The value of  x is 21.

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Answer:

A= 20.25 units

Step-by-step explanation:

A= p²/16

=18²/16

=20.25 units

Answer:

  a = -5/11

Step-by-step explanation:

You want to solve the equation -1/4-a-4=7/4a-3.

The first step in solving this 3-step equation can be to add the opposite of (-a) so that the variable 'a' appears only on one side of the equation:

  -1/4 -a -4 +a = 7/4a -3 +a

  -17/4 = 11/4a -3 . . . . . . . . . . . simplify

The second step is to add the opposite of the constant (-3) so that the constant is on one side of the equation, and the variable is on the other side.

  -17/4 +3 = 11/4a -3 +3

  -5/4 = 11/4a . . . . . . . . . . simplify

The third step is to multiply by the inverse of the coefficient of the variable:

  (4/11)(-5/4) = (4/11)(11/4a)

  -5/11 = a . . . . . . . . . . . . . . . simplify

  -1/4 -(-5/11) -4 = (7/4)(-5/11) -3

  -17/4 +5/11 = -35/44 -3

  (-187 +20)/44 = (-132 -35)/44

  -167/44 = -167/44 . . . . . . answer checks OK

The inequalities for x are

x> 0.5 and x> 1.5

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

1. From the diagram we can see that;

3x + 2 > x + 3 (according to the length)

Solve the resulting inequality

3x - x > 3 - 2

2x > 1

x > 1/2

x> 0.5

2. Again From the figure

4x- 3 > 2x

4x -2x > 3

2x > 3

x>3/2

x> 1.5

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Starting with the given equation: 2 sin x cos x = cos x

By dividing both sides by cos x, we may simplify: 2 sin x = 1

Dividing both sides by 2:

sin x = 1/2

The values of x that fulfil sin x = 1/2 must now be found, and they are:

x = π/6 + 2πn or x = 5π/6 + 2πn, where n is any integer.

Therefore, the general solution is:

x = π/6 + 2πn or

x = 5π/6 + 2πn, where n is any integer.

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Answer:

i do not know i am not good at maths so pls find someone else to ask the question not me please sorry

Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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To solve this problem, we can use the formula for probability:

P(event) = number of favorable outcomes / total number of outcomes

First, let's find the total number of outcomes. We are selecting 4 balls from 11 without replacement, so the total number of outcomes is:

11C4 = (11!)/(4!(11-4)!) = 330

where nCr is the number of combinations of n things taken r at a time.

Now let's find the number of favorable outcomes for each part of the problem.

Part 1: Exactly two white balls and two red balls

To find the number of favorable outcomes for this part, we need to select 2 white balls out of 6 and 2 red balls out of 5. The number of ways to do this is:

6C2 * 5C2 = (6!)/(2!(6-2)!) * (5!)/(2!(5-2)!) = 15 * 10 = 150

So the probability of selecting exactly two white balls and two red balls is:

P(2W2R) = 150/330 = 0.45 (rounded to two decimal places)

Part 2: At least two white balls

To find the number of favorable outcomes for this part, we need to consider two cases: selecting 2 white balls and 2 red balls, or selecting 3 white balls and 1 red ball.

The number of ways to select 2 white balls and 2 red balls is the same as the number of favorable outcomes for Part 1, which is 150.

To find the number of ways to select 3 white balls and 1 red ball, we need to select 3 white balls out of 6 and 1 red ball out of 5. The number of ways to do this is:

6C3 * 5C1 = (6!)/(3!(6-3)!) * (5!)/(1!(5-1)!) = 20 * 5 = 100

So the total number of favorable outcomes for selecting at least two white balls is:

150 + 100 = 250

And the probability of selecting at least two white balls is:

P(at least 2W) = 250/330 = 0.76 (rounded to two decimal places)