Among the 10 nominees for two vacancies on City Council are 3 left-leaning, 4 right-leaning candidates, and 3 centralists. In how many ways can these vacancies be filled:a) With any two nomineesb) With any two of the right-leaning candidatesc) With one left-leaning and one right-leaning

Answer:

380 weight

Step-by-step explanation:

please brilliant answer me

Answer:

Hello friends

Step-by-step explanation:

Hope it's helpful

Answer:

It's neither

Step-by-step explanation:

The only factor of 1 is 1.

A prime number has exactly two factors so 1 isn't prime.

A composite number has more than 2 factors, so 1 isn't composite either.

so... it's a neutral number.

Hope this helps!

The calculated value of the rate of the graph is 0.8

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(0, -16) and (20, 0)

The rate of the graph is calculated as

Rate = Change in y/x

using the above as a guide, we have the following:

Rate = (0 + 16)/(20 - 0)

Evaluate

Rate = 0.8

Hence, the rate is 0.8

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A good estimate for the area of a circle if the radius is 4 meters is D. 50.2m²

It is important to note that the area of a circle is calculated as πr².

In this case, r = radius

The radius is given as 4 meter.

Therefore, the area of the circle will be:

Area = πr²

Area = 3.14 × 4²

Area = 3.14 × 16

Area = 50.24m²

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Answer:

Ok hi

Step-by-step explanation:

Answer:

The answer is 55, you can figure this out as each number is increasing by 10

a_n=-5+10n

hope it helps

It would take 5 hours.

1/15 of the lawn in 1/3 hours means it takes 1 hour to water 3/15 of the lawn aka 1/5

1/5 of the lawn in 1 hour would mean it takes 5 hours to finish watering the entire lawn.

A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.

What theory directly contradicts concept of absolute zero?

All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).

Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.

Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.

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a) The null hypothesis is that there is no difference in the proportion of homeowners using water filters among the three communities. The alternative hypothesis is that at least one community has a different proportion of homeowners using water filters than the other communities.

b) To calculate the expected count for the bottom right cell, we can use the formula:

Expected count = (row total x column total) / grand total

The row total for Community C and the column total for No are both 100, and the grand total is 300. Therefore:

Expected count = (100 x 100) / 300 = 33.33

The expected count of 33.33 for the bottom right cell means that if there were no difference in the proportions of homeowners using water filters among the three communities, we would expect 33.33 of the 100 homeowners in Community C to answer 'No' to the question about water filters.

c) To determine what we can conclude from the Chi-square statistic of 13.22, we need to compare it to the critical value for a Chi-square distribution with (3-1) x (2-1) = 2 degrees of freedom at the desired level of significance. Let's assume a level of significance of 0.05. From a Chi-square distribution table, the critical value with 2 degrees of freedom at 0.05 level of significance is 5.99.

Since 13.22 is greater than 5.99, we can reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners using water filters among the three communities. However, we cannot determine from this test alone which communities have different proportions of homeowners using water filters. We would need to conduct further tests, such as post-hoc tests, to investigate the specific differences among the communities.

Answer:

divide 16/20

Step-by-step explanation:

Answer:

4 : 5

Step-by-step explanation:

ratio between 16 and 20

\( = \frac{16}{20} = \frac{4 \times 4}{4 \times 5} = \frac{4}{5} = 4 : 5 \\ \)

==========================================

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(75) = x/9

x = 9*cos(75)

x = 2.32937140592269

x = 2.3

The bottom of the ladder is about 2.3 feet from the bottom of the house.

In the given exercise option a, b and c are in reduced echelon form and option d is in echelon form.

Row echelon form suggests that: Each row's leading (first) entry must be

Each following row's first entry must be on a new column to the right.

All rows with zero entries are listed below rows with non-zero items.

If the leading entry in each column is the only nonzero element in that column, reduced echelon form also results from echelon form conditions.

According to the definitions we see that, in the given exercise option a, b and c are in reduced echelon form and option d is in echelon form.

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The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

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Answer:

A prime number is a number whose factors are only 1 and itself.

Step-by-step explanation:

Example:

2 is a prime number because its only factors are 1 and itself (2). 4 is not a prime number because its factors are 1, 2, and 4.

Sally's average annual percentage gain is approximately 5.26%.

To calculate Sally's average annual percentage gain, we can use the formula:

Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100

Profit = $2500

Initial Investment = $19000

Time = 2.5 years

Substituting the values into the formula:

Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100

= (0.1316) * (0.4) * 100

= 5.26

Therefore, Sally's average annual percentage gain is approximately 5.26%.

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Answer:

Divided ?

Step-by-step explanation:

Divided

The angle θ = 90° is not a solution to trigonometric equation sin 2θ = 1. (Right choice: A)

In this problem we must determine what angle is not a solution of a given trigonometric equation. The solution set is found by means of algebra properties and trigonometric formulas:

sin 2θ = 1

2θ = 90° + 360° · i, where i is a whole number.

θ = 45° + 180° · i

According to this expression, θ₁ = 45°, θ₂ = 225° and θ₃ = - 135° are solutions to this equation. θ = 90° is not a solution of sin 2θ = 1.

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Answer:

h = 15.8

Step-by-step explanation:

200 = 42 + 10h

10h = 200 - 42

10h = 158

h = 15.8

Answer:

15.8 hours

Step-by-step explanation:

Answer:

-21

Step-by-step explanation:

given

To evaluate (h.g(5)), we first need to find g(5) and then apply h to the result.

g(x) = 4x + 3, so g(5) = 4(5) + 3 = 23.

Now we apply h to g(5):

h(g(5)) = h(23) = -(23) + 2 = -21

Therefore, (h.g(5)) = -21.

Answer:

Step-by-step explanation:

To find (h o g)(5), we need to first find g(5), and then evaluate h at that value.

We are given that g(x) = 4x + 4, so we can find g(5) by substituting x = 5:

g(5) = 4(5) + 4 = 24

Now we evaluate h at g(5):

h(g(5)) = h(24)

We know that h(x) = -x + 2, so we can evaluate h(24) by substituting x = 24:

h(g(5)) = h(24) = -(24) + 2 = -22

Therefore, (h o g)(5) = -22.

Answer:

Step-by-step explanation:

The total area of the composite figure which has triangle and rectangle is  24.41 square inches

The given composite figure has two triangles and one rectangle

Area of rectangle =length × width

=4.6×3.15

=14.49 square inches

Area of left side triangle, it has base of 3.3 in and height 3.15 inches

Area of triangle = 1/2×3.3×3.15

=5.1975 square inches

Area of triangle on right side

Base = 3 in

Height = 6.3-3.15=3.15 in

Area of triangle = 1/2×3×3.15

=4.725 square inches

Total area = 14.49 + 5.1975  + 4.725

=24.41 square inches

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Answer:

6\(\sqrt{5}\) or approximately 13.416407865

Step-by-step explanation:

List all of the factors of 180.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Find the perfect squares from the list such as:

1, 4, 9 and 36

Choose the biggest one and divide 180 by it.

180 / 36 = 5

Calculate the square root of your square number

\(\sqrt{36}\)=6

Your answer is 5\(\sqrt{6}\) (in its simplest radical form)

If you wanted to calculate the answer as a decimal, 5 x \(\sqrt{6}\) = approximately 13.416407865

2430 should be the other cost, if the smaller cost N1 920.

The answer of what square is equal to multiplied by

40×40×2`=800

45×45×2=1012.5

(1012.5÷800)×1920=2430

A quadrilateral is a polygon with the following characteristics.

Four vertices and four sides enclosing four angles

The total of a quadrilateral’s internal angles equals 360 degrees.

The sum of interior angles may alternatively be calculated using the polygon formula, which is (n -2) 180, where n is the number of sides of the polygon.

Parallelograms include the shapes square, rectangle, and rhombus.

A square is both a rectangle and a rhombus.

A rectangle or rhombus is not a square.

A trapezium is a parallelogram.

A trapezium is not the same as a parallelogram.

Kite does not form a parallelogram.

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Answer:

40

Step-by-step explanation:

14 + 12 + 8 + 6 = 40

Answer:

40

Step-by-step explanation:

14+12=26+8=34+6=40

step 1

Find the equation of line k

the slope of line k is

m=-3/4 ------> previous answer

step 2

If two lines are perpendicular, then their slopes are opposite reciprocal

so

the slope of the line m must be equal to

m=4/3

I will assume a point (3,4)

Find the equation in slope intercept form

y=mx+b

we have

m=4/3

point (3,4)

substitute

4=(4/3)*(3)+b

solve for b

4=4+b

b=0

therefore

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=4/3

point (3,4)

substitute

Find the equation in standard form

Ax+By=C

where

A is a positive integer

B and C are integers

we have

y=(4/3)x

Multiply by 3 both sides

3y=4x

The appropriate hypotheses for this test are: H0: There is no difference in the distribution of responses. Ha: There is a difference in the distribution of responses.

The chosen hypotheses are based on the objective of the investigation, which is to determine if there is convincing evidence that the distribution of responses about eating the potato salad differs between employees who are sick and those who are not sick.

The null hypothesis (H0) assumes that there is no difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This means that the proportion of employees who ate the potato salad would be the same in both groups, and any observed difference in the distribution of responses is due to random chance or factors unrelated to being sick or not sick.

On the other hand, the alternative hypothesis (Ha) proposes that there is a difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This suggests that the proportion of employees who ate the potato salad would be significantly different in the two groups, indicating a possible association between consuming the potato salad and getting sick.

By formulating these hypotheses, the investigation aims to evaluate whether the data provides convincing evidence to reject the null hypothesis in favor of the alternative hypothesis, indicating a meaningful relationship between eating the potato salad and falling sick.

Therefore, the correct answer is:

H0: There is no difference in the distribution of responses about eating the potato salad among those who are and are not sick.

Ha: There is a difference in the distribution of responses about eating the potato salad among those who are and are not sick.

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