What is 1.45 x 45.455.473. After multiplying add 5.

Answer:

  10080, 10290

Step-by-step explanation:

The multipliers of 210 required will be mutually prime integers that satisfy ...

  10000 ≤ 210n ≤ 11000

  47.61 ≤ n ≤ 52.38

That is, you want a pair of integers, each between 48 and 52, that have no common factors. Possibilities include ...

  (48, 49), (49, 50), (49, 51), (49, 52), (50, 51), (51, 52)

For the above numbers, we have chosen ...

  48×210 = 10,080

  49×210 = 10,290

Answer: A

Step-by-step explanation:

-120 is how many people leave a year so multiply that by the 3 years it’s been happening then it’s A, 360 left in the past 3 years

Answer:

$33.81

Step-by-step explanation:

Strawberries = $2.49 Per Pound (Bought 3)

Blueberries = $3.19 Per Pound (Bought 2)

Pineapples = $4.99 Per Pound (Bought 4)

So we have to multiply each price with the number of fruits bought.

So, For Example, Strawberries: $2.49 × 3 = $7.47

After you did all three individually, add them all up.

Strawberries : $7.47

Blueberries : $6.38

Pineapple : $19.96

Total = $33.81

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

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The statement "dispersion models are selected based on the phase of the material being modeled in a release scenario" is true as Different dispersion models are needed for different phases (gas, liquid, solid) due to differences in behavior and transport mechanisms.

Dispersion models are used to predict the spread of pollutants, and they depend on the physical and chemical properties of the material being released.

Generally, different models are used for each phase of the material, such as the Gaussian plume model for gases, the plume rise model for heated gases, and the particle dispersion model for particles.

Each of these models is based on different characteristics and equations which allow for the most accurate prediction of the dispersion of pollutants.

For example, the Gaussian plume model considers the wind velocity, turbulence, and buoyancy of the released material, whereas the plume rise model considers the momentum, thermal expansion, and buoyancy of the released material.

Therefore, dispersion models are selected based on the phase of the material being modeled in a release scenario.

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The correct option is cone and plane. A conic section is the intersection of a plane and a cone. The best definition of a conic section is "cone and plane".

The definition of conic section is a conic section is a shape that is formed when a right circular cone intersects a plane. Depending on the angle of the plane concerning the center line of the cone, the conic sections are classified into four types. They are a circle, parabola, ellipse, and hyperbola. Each type of conic section has a unique shape and properties.

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210 feet  To answer this question you need to know the ratio of shadow with the actual object. In this case, 42 feet flagpole cast 9.4 feet shadow. Then the ratio is:

42feet/9.4 feet= 4.468

That means the actual height is 4.468 times of shadow length. After that, you can multiply the ratio with the shadow to know the object actual size. It would be: 47 feet x 4.468=  210 feet.

Answer:

Step-by-step explanation:

Given the expression  5 p + 6 = 7, to know the value of variable p. we need to make p the subject of the formula as shown;

Given  5 p + 6 = 7

Step 1: Subtract 6 from both sides

5p+6-6 = 7-6

5p = 7-6

Step 2: We will then divide both sides by the coefficient of p i.e 5 to have;

5p/5 = (7 - 6)/5

p =  (7 - 6)/5

Hence, the correct expression of variable p is p = (7 - 6)/5

If the probability that interest rates will go up and house sales will decrease is estimated to be 0.15, the probability of an increase in interest rates and not a decrease in house sales is 0.05.

To find the probability of an increase in interest rates and not a decrease in house sales, we can use the formula for conditional probability:

P(Interest rates increase and house sales don't decrease) = P(Interest rates increase) - P(Interest rates increase and house sales decrease)

We are given that the probability of interest rates on housing loans going up in the next 6 months is 0.20, and the probability of house sales decreasing is 0.6. We are also given that the probability of interest rates going up and house sales decreasing is 0.15.

To find the probability of interest rates going up and not house sales decreasing, we subtract the probability of interest rates going up and house sales decreasing from the probability of interest rates going up:

P(Interest rates increase and house sales don't decrease) = 0.20 - 0.15 = 0.05

In summary, we can use conditional probability to calculate the probability of an increase in interest rates and not a decrease in house sales.

Given the probabilities of interest rates going up and house sales decreasing, we can subtract the probability of interest rates going up and house sales decreasing from the probability of interest rates going up to find the probability of interest rates going up and not house sales decreasing.

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The probability that the student chosen will be a boy who watched tennis yesterday is 1/8.

Given that 56 students were asked if they watched tennis yesterday, 20 of the students are boys, 17 girls watched tennis yesterday and 32 students did not watch tennis yesterday and out of all these one students is to be chosen at random.

We have to find the probability that the student chosen will be a boy who watched tennis yesterday.

Total number of students is 56.

The total number of girls is 56-20=36

Girls who didn't watch tennis is 36-17=19

Number of the boys who did not watch the game is 32-19=13

Number of boys watching a tennis match is 20-13=7

Now, we will find the probability that the student chosen will be a boy who watched tennis yesterday.

Probability=Number of boys watching a tennis match/Total number of students
Probability=7/56

Probability=1/8

Hence, the probability that the student chosen will be a boy who watched tennis yesterday when 56 students were asked if they watched tennis yesterday is 1/8.

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Answer:

t= -1

Step-by-step explanation:

\(\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

\( \frac{1}{7} = \frac{ - 7 - ( - 6)}{t - 6} \)

\( \frac{1}{7} = \frac{ - 7 + 6}{t - 6} \)

\( \frac{1}{7} = \frac{ - 1}{t - 6} \)

cross multiply:

1(t -6)= 7(-1)

t -6= -7

+6 on both sides:

t= -7 +6

t= -1

Answer:

1/z

Step-by-step explanation:

(z^-6)/(z^-5)

=[(z^(-6+5)]

=z^-1

=1/z

To maximize the sugar you can gain from street vendors and satisfy your sweet tooth, you can use the following expression:

m[i] = max(m[i-1] + s[i], s[i])

Here, m[i] represents the maximum sugar you can consume so far on the i-th vendor, and s[i] denotes the sugar content of the i-th vendor's offering.

The expression utilizes dynamic programming to calculate the maximum sugar consumption at each step. The variable m[i] stores the maximum sugar you can have up to the i-th vendor.

The expression considers two options: either including the sugar content of the current vendor (s[i]) or starting a new consumption from the current vendor.

To calculate m[i], we compare the sum of the maximum sugar consumption until the previous vendor (m[i-1]) and the sugar content of the current vendor (s[i]) with just the sugar content of the current vendor (s[i]). Taking the maximum of these two options ensures that m[i] stores the highest sugar consumption achieved so far.

By iterating through all the vendors and applying this expression, you can determine the maximum sugar you can gain from the street vendors and satisfy your sweet tooth.

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Answer:

  a. 3/2 meters

  b. 15/4 times as great

Step-by-step explanation:

You want the width of a rectangle that is 3/5 m² in area and 2/5 m long. You also want to know the factor by which the length is greater than the width.

The formula for the area of a rectangle is ...

  A = LW

Filling in the known values, we can solve for the length:

  3/5 m² = (2/5 m)·L

  L = (3/5)/(2/5) m = 3/2 m . . . . . . divide by the coefficient of L

The length of the rectangle is 3/2 meters.

The ratio of length to width is ...

  length/width = (3/2 m)/(2/5 m) = (15/10)/(4/10) = 15/4

The length is 15/4 times greater than the width.

Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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The bases of a pentagonal prism are two identical pentagons. It features five rectangle-shaped faces. The prism has ten vertices and fifteen edges.

A pentagonal prism is a prism with five rectangular sides and two top and bottom pentagonal bases. With 7 faces, 10 vertices, and 15 edges, it is a particular form of heptahedron. A pentagonal prism can have five sides due to its pentagonal bases. The pentagonal prism is also called Five-sided polygon prism in other name.

The pentagonal prism is a prism with five rectangular sides and two pentagonal base

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Answer:

The bases of a pentagonal prism are two identical pentagons. It features five rectangle-shaped faces. The prism has ten vertices and fifteen edges.

Step-by-step explanation:

hope this helped!

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of phones produced abroad and y represent the number of phones produced locally.

The company can provide 6000 hours of labor each week and it takes 30 hours to produce the cellphone abroad and at the local factory it takes 20 hours, hence:

30x + 20y = 6000            (1)

Also, there is a total resource of $12000 each week, the cost of producing abroad is $20 and the cost of producing locally is $60. Hence:

20x + 60y = 12000           (2)

Multiply equation 1 by 3 and subtract equation 2 from the result. This gives:

70x = 6000

x = 600/7 ≈ 86

Put x = 86 in equation 1:

30(86) + 20 y = 6000

20y = 3420

y = 171

86 phones should be produced abroad and 171 phones locally

In statistics, the "central tendency" refers to a single value which represents middle or center of a set of data. The 3 common measures of central tendency are named as mean, median, and mode.

When scores have a central tendency, it means that most of the scores in a set of data are clustered around a particular value.

For Example, if we have a data set of test scores, and most of the scores are around 70, then 70 would be the central tendency of the data set.

The central tendency is an important concept in statistics because it provides a way to summarize a large set of data with a single value.

It can help you understand the overall pattern of the data and make comparisons between different data sets.

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Answer:

20 students are sitting in the library

Step-by-step explanation:

4 · 5 = 20

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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Answer:

The probability is equal to the number of times you chose the red ball out of the total balls.

Answer:

First, we can write:

x = 2 . ¯ 3

Next, we can multiply each side by  10 giving:

10 x = 23 . ¯ 3

Then we can subtract each side of the first equation from each side of the second equation giving:

10 x − x = 23 .¯ 3 − 2 . ¯ 3

We can now solve for  x  as follows:

10 x − 1 x = ( 23 + 0 . ¯ 3 ) − ( 2 + 0 . ¯ 3 )  ( 10 − 1 ) x = 23 + 0 . ¯ 3 − 2 − 0 . ¯ 3  

9 x = ( 23 -2 ) + ( 0 . ¯ 3 − 0 . ¯ 3 )  

9 x = 21 + 0

9 x = 21

9 x /9 = 21 /9

9 x /9 = 3 × 7 /3 × 3

x = 3 × 7 /3 × 3

x = 7 /3

Hope this helps!

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The standard deviation of the sample proportion in this situation is approximately 0.0414.

To find the standard deviation of the sample proportion, we need to use the formula:

Standard deviation of sample proportion (σp) = √[(p × (1 - p)) / n]

Where:

p = population proportion (percentage of customers with state minimums for insurance) = 78% = 0.78

n = sample size = 100

Substituting the values into the formula, we have:

σp = √[(0.78 × (1 - 0.78)) / 100]

Calculating the expression within the square root:

σp = √[(0.78 × 0.22) / 100]

= √[0.1716 / 100]

= √0.001716

≈ 0.0414

Therefore, the standard deviation of the sample proportion in this situation is approximately 0.0414.

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Answer:

The rate of Trip 2 is 5  km/h.

The time of Trip 1 is 0.9-x hours.

Step-by-step explanation:

right on edg 2020

Based on the veetex, the quadrilateral has two pairs of congruent sides, and it is a parallelogram.

The lengths of the sides of the quadrilateral are:

WX = 2

XY = 4

YZ = 2

ZW = 2

WY = 4

XZ = 4

If all four sides are congruent, the quadrilateral is a square, if two pairs of sides are congruent, the quadrilateral is a rectangle and of only one pair of sides are congruent, the quadrilateral is a parallelogram.

The quadrilateral has two pairs of congruent sides, and opposite angles that are supplementary. This means that the quadrilateral is a parallelogram.

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A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.

A ray is named using its endpoint first, and then any other point on the ray

Properties of ray:

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Answer:-3/2

Step-by-step explanation: transform the expression from 3/4+-9/4 to 3-9/4=-6/4 then reduce 6/4 to -3/2

2x1/2 hour = 1 hour

2 x 5/12 miles = 10/12 miles = 5/6 miles

The coordinates of H' are (-7,6) using the translation concept.

The translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.

Given that the rectangle EFGH is translated

\(T_{h,k}\)(x,y) = (x , y )

To find the coordinates of the image H' if the coordinates of the pre-image H are (-2, -3).

We know that

\(T_{h,k}\)(x,y) = (x +h , y + k )

For the given information, we have-

Therefore, we get (h, k) = (-5, 9)

⇒ h = -5 and k = 9

\(T_{-5,9}\)(-2,-3) = (-2 - 5, -3 + 9 )

= (- 7, 6 )

Thus, the coordinates of the image H' are (-7, 6).

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The answer is: it depends. If {c} is equal to {a} or {b}, then it is necessarily in the sigma-algebra, since {a} and {b} are already in the sigma-algebra and sigma algebras are closed under subsets.

In order to answer this question, we need to understand what a sigma-algebra is and what properties it has.

A sigma algebra is a collection of subsets of a set that has three properties:
1. It contains the empty set.
2. It is closed under complementation (i.e., if A is in the sigma-algebra, then A^c is also in the sigma-algebra).
3. It is closed under countable unions (i.e., if A1, A2, A3, ... are in the sigma-algebra, then their union is also in the sigma-algebra).

The answer is: it depends. If {c} is equal to {a} or {b}, then it is necessarily in the sigma-algebra, since {a} and {b} are already in the sigma-algebra and sigma algebras are closed under subsets.

However, if {c} is not equal to {a} or {b}, then we cannot say for sure whether it is in the sigma-algebra or not.

To see why, consider the following example. Let X = {a, b, c, d} and let the sigma-algebra be the power set of X (i.e., the collection of all subsets of X).

Then {a} and {b} are in the sigma-algebra, but {c} is not. Therefore, we cannot say that {c} is necessarily in the sigma-algebra.

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