in triangle jkl and triangle pqr

Answer:

1x3

2x3

                                                            2x2

                                                             3x2

Step-by-step explanation:

with the 1x3 you get 3 and with 2 x 3 you get 6 which means for the first one you get  3/6 .

for the second one 2x2 =4 and 3x2=6 which equals 4/6

Answer:

(6290.678 ; 7790.742)

Step-by-step explanation:

Given the data :

5640, 5090, 6590, 6380, 7165, 8440, 9980

The sample mean, xbar = Σx / n = 49285 / 7 = 7040.71

The 90% confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * σ/√n

Since the σ is known, we use the z- distribution

Zcritical at 90% confidence = 1.64

Hence,

Margin of Error = 1.64 * 1210/√7

Margin of Error = 750.032

90% confidence interval is :

7040.71 ± 750.032

Lower boundary = 7040.71 - 750.032 = 6290.678

Upper boundary = 7040.71 + 750.032 = 7790.742

(6290.678 ; 7790.742)

The employee's new wage per hour is $10.83. The percentage increase of the original wage to his new​ wage is 3%.

A percent increase means how much a percentage has gone up over time. To find this number, one would need to find the difference between the original value and the final value, subtracting to find the exact total of the decrease. The formula for percent increase equals to "Increase / original number (value) x 100".

Given data:

First, we find 3% of $10.51 to get new wage per hour

= 0.03$ * $10.51

= $0.32

Then, we add this increase to $10.51.

= $10.51 + $0.32

= $10.83

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Answer:

For every 1 vote cast for Candidate D, there were 4 votes for candidate C.

Step-by-step explanation:

Hope this helps! Have a good day!

Answer:

For every 1 vote cast for Candidate D, there were 4 votes cast for Candidate C.

The reasonable domain for the function is (b) x > 0

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

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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Answer:

\( \hat p=\frac{0.56137+0.60529}{2}= 0.58333\)

The critical value for 95% of confidence is \(z_{\alpha/2}=1.96\)

And since we know the total and the proportion is defined as:

\( \hat p=\frac{X}{n}\)

If we solve for X (number of people who say yes) we got:

\( X= 0.58333* 504= 293.998 \approx 294\)

And the best answer would be:

294

Step-by-step explanation:

We know that the confidence interval for the proportion is given by:

\( \hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The margin of error for the proportion interval is given by this formula:  

\( ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}\)    (a)  

The margin of error can be calculated with this formula:

\( ME=\frac{0.60529- 0.56137}{2}= 0.02196\)

And the estimation for the true proportion is:

\( \hat p=\frac{0.56137+0.60529}{2}= 0.58333\)

The critical value for 95% of confidence is \(z_{\alpha/2}=1.96\)

And since we know the total and the proportion is defined as:

\( \hat p=\frac{X}{n}\)

If we solve for X (number of people who say yes) we got:

\( X= 0.58333* 504= 293.998 \approx 294\)

And the best answer would be:

294

Answer:

42 ounces or B

Step-by-step explanation:

5 pounds - 2 pounds=3 pounds

3 pounds=48 ounces

48 ounces-6 ounces=42 ounces

Answer:

The estimate of the population proportion of defective battery is 0.1333.

Step-by-step explanation:

Estimate of the population proportion of defective battery:

The estimate of the population proportion is the sample proportion.

Sample proportion:

Number of desired outcomes divided by the number of total outcomes.

Proportion of defective battery:

20 defective out of 150. Thus:

\(p = \frac{20}{150} = 0.1333\)

The estimate of the population proportion of defective battery is 0.1333.

Answer:

Can I have the numbers???

Step-by-step explanation:

Answer:

y=2x-7

Step-by-step explanation:

Answer:

169

Step-by-step explanation:

Perimeter of a rectangle= 2(length+breath)

2(18 + 8)

2(26)

52.

A square has four equal sides.

The length will be determined by dividing 52 by 4

\(52 \div 4 = 13\)

The length is 13.

Since the area of a square is

\( {l}^{2} = {13}^{2} \)

L is length.

The answer is

\( {169}^{2} \)

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

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

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

The table is completed as follows using the double-declining-balance method of depreciation:

Year Cost   Accumulated  Book Value  Depreciation Accumulated  Book

                   Depreciation        B.O.Y         Expense     Depreciation  Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $30,000          $0           $30,000         $12,000         $12,000  $18,000

2   $30,000    $12,000          $18,000         $7,200           $19,200  $10,800

3   $30,000   $19,200          $10,800           $4,320          $23,520   $6,480

The double-declining-balance approach is what?

The double-declining-balance method is one of the depreciation techniques in use, however it adds additional costs in the first years of an asset's life.

In this depreciation method, the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2, is twice.

At the conclusion of each year, the leftover balance for the depreciation charge is adjusted using the double rate.

The difference between the closing balance from the previous year and the residual value is used to determine the depreciation charge for the most recent year.

Auto  = $30,000

Estimated useful life = 5 years

Residual = $800

Depreciable amount = $30,000 - $800 = 29,200

Straight-line depreciation rate = 100/5 = 20%

Double-declining depreciation rate =20% x 2 = 40%

Depreciation Expense:

1st year = 30,000 x 40/100 = 12,000

2nd year = 18,000 x 40/100 = 7,200

3rd year = 10,800 x 40/100 = 4,320

4th year = 6,480 x 40/100 = 2,592

5th year = 3,888 x 40/100 = 1,555

Year Cost   Accumulated  Book Value  Depreciation Accumulated Book

                   Depreciation        B.O.Y         Expense      Depreciation   Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $30,000          $0           $30,000         $12,000         $12,000  $18,000

2   $30,000    $12,000          $18,000         $7,200           $19,200  $10,800

3   $30,000   $19,200          $10,800           $4,320          $23,520   $6,480

4   $30,000  $23,520          $6,480           $2,592           $26,112   $3,888

5  $30,000  $26,112            $3,888          $1555           $27,667     $2,332

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Answer:

-6

Step-by-step explanation:

(3 x 6) - (3 x 14)

= 18 - 42

= -24

-24/4

= -6

The regression equation that correctly models the data is B. y = 2.87x + 11.85

The regression equation is calculated using the following formula:

y = a + bx

where:

y is the dependent variable (daily food costs)

x is the independent variable (number of children in attendance)

a is the y-intercept

b is the slope of the line

The slope of the line is calculated using the following formula:

b = (∑xy - ∑x ∑y / n) / (∑x2 - (∑x)² / n)

Using the data from the table, we can calculate the y-intercept and slope of the line as follows:

a = 411 / 5 = 82.2

b = (13,393 - (143)(411) / 5) / (4,573 - (143)² / 5) = 2.87

Substituting the y-intercept and slope into the regression equation, we get the following equation:

y = 11.85 + 2.87x

Simplifying, we get the following equation:

y = 2.87x + 11.85

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The perimeter is approximately 16.1 meters.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

We can use the Pythagorean theorem to find the length of the other leg b:

a² + b² = c²

6² + b² = 7²

36 + b² = 49

b² = 49 - 36

b² = 13

b = √(13)

Now that we know the lengths of all three sides, we can find the perimeter by adding them up:

Perimeter = a + b + c

Perimeter = 6 + √(13) + 7

Perimeter = 13 + √(13) meters

Rounding to the nearest tenth, the perimeter is approximately 16.1 meters.

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To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.

To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.

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The set B is the set of integers between -1 and 1, which includes -1, 0, and 1.

The set B can be defined as follows:

B = {x: x is an integer between -1 and 1}

This means that B is a set that contains all the integers x that satisfy the condition of being between -1 and 1. In other words, B includes the integers -1, 0, and 1. These are the only integers that fall within the specified range.

To represent this set in roster notation, we can write:

B = {-1, 0, 1}

In set-builder notation, we can express B as:

B = {x | x ∈ ℤ, -1 ≤ x ≤ 1}

This notation indicates that B consists of all the integers x such that x belongs to the set of integers (ℤ) and x is greater than or equal to -1 and less than or equal to 1.

In summary, the set B is the set of integers between -1 and 1, which includes -1, 0, and 1.

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A height with a z-score of 1 is the lowest, a height with a percentile rank of 80 percent is in the middle, and a height at the third quartile Q₃ is the highest.

A bell-shaped distribution is also known as a normal distribution. It is a symmetrical distribution where the mean, median, and mode are all equal. The distribution has two tails that extend out from the mean in either direction. A height with a z-score of 1 is the lowest because a z-score of 1 is one standard deviation below the mean. A height with a percentile rank of 80 percent is in the middle because it is the 80th percentile, meaning that 80 percent of the data is lower than it. A height at the third quartile Q₃ is the highest because it is the 75th percentile, meaning that 75 percent of the data is lower than it. In ascending order, the heights arranged are III, II, and I.

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Answer:

≈ 528cm

Step-by-step explanation:

The formula is pi multiplied by the diameter. So you multiply the radius (84) by two times. Next, you multiply 22/7 by the diameter and you will received 528cm. I hope this answers your question.

Answer:

Today: Wednesday, 04 November 2020

Hour: 21.14 WIB (Indonesia)

_______________________________

r = 84 cm

π = 22/7

C = 2πr

C = 2 . 22/7 . 84

C = 44 . 12

C = 528 cm

Answer:

arcPSU = 224degrees

Step-by-step explanation:

From the given diagram;

arcPSU = arcPQ + arcQR + arcRS + arcST + arcTU

Given

arcPQ = arcTU

arcQR = arcRS = 37

arcAST = 90

Since 136 + arcPQ + 37+37+90+arcTU = 360

136+2arcPQ+ 37+37+90= 360

2arcPQ+300 = 360

2arcPQ = 360 - 300

2arcPQ = 60

arcPQ = 60/2

arcPQ = 30degrees

Substitute into the above expression

arcPSU = arcPQ + arcQR + arcRS + arcST + arcTU

arcPSU = 360 - arcPU

arcPSU = 360 - 136

arcPSU = 224degrees

The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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Answer:

Solutions: x=1.

Step-by-step explanation:

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

The relationship between the circumference C of the circle in which the degree measure A of a central angle of a circle intercepts an arc length s of the arc is

B) C=360 degrees s over A

The relationship between the circumference C of a circle and the degree measure A of a central angle that intercepts an arc length s of the arc can be described by the formula:

s = A / 360 * C

Make C the subject of the formula

s = AC / 360

360s = AC

rearranging

AC = 360s

C = 360 degrees s / A

C = (s / A) * 360°

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Answer:

\(\textsf{B)} \quad C=\dfrac{360^{\circ}\:s}{A}\)

Step-by-step explanation:

In a circle, the ratio of an arc length (s) to the circumference (C) is equal to the ratio of the measure of the arc's central angle (A) to 360°.

This is because:

Therefore, this can be expressed as:

\(\dfrac{s}{C}=\dfrac{A}{360^{\circ}}\)

Cross multiply:

\(360^{\circ} \cdot s=C \cdot A\)

Now, divide both sides by A to isolate C:

\(\dfrac{360^{\circ} \cdot s}{A}=C\)

Therefore, the relationship between the circumference (C) of the circle in which the degree measure (A) of a central angle of a circle intercepts an arc length (s) of the arc is:

\(\large\boxed{\boxed{C=\dfrac{360^{\circ}\:s}{A}}}\)

Answer:

The standard unemployment rate is of 0.0794 = 7.94%.

Step-by-step explanation:

The standard unemployment rate, as a proportion, is the number of unemployed people divided by the size of the labor force.

In this question:

Labor force: 189 million

Number of unemployed people: 15 million

What is the standard unemployment rate?

15/189 = 0.0794

The standard unemployment rate is of 0.0794 = 7.94%.