-17+4a

Please solve.

Answer:

Move all terms not containing the variable from the center section of the inequality.

−1<x<5

The box plot of the assembly line: 5.2,5.4,5.3,5.3,5.4,5.6,5.7,5.6,5.7 are;

A box plot is a graphical representation of the distribution of a dataset through their quartiles. The approximation method is a way to estimate the exact values, and it's usually represented through a diagram. The data given is the diameter of cans in an assembly line: 5.2, 5.4, 5.3, 5.3, 5.4, 5.6, 5.7, 5.6, 5.7

To construct a box plot, you need to follow some steps:Arrange the data in order from smallest to largest.Find the median of the dataset. This will be the line that divides the box into two parts.

Find the lower quartile (Q1) by splitting the dataset into two equal parts and finding the median of the lower half.

Find the upper quartile (Q3) by splitting the dataset into two equal parts and finding the median of the upper half.

Calculate the interquartile range (IQR) which is the difference between the upper and lower quartiles (IQR = Q3 - Q1).Find the lower limit of the dataset, which is the smallest number in the set greater than or equal to Q1 - 1.5 × IQR

.Find the upper limit of the dataset, which is the largest number in the set less than or equal to Q3 + 1.5 × IQR

.Draw a vertical line from the lower limit to the lower whisker, which is the smallest value in the dataset that is greater than or equal to the lower limit

.Draw a vertical line from the upper limit to the upper whisker, which is the largest value in the dataset that is less than or equal to the upper limit.

Draw a box with the bottom at Q1, the top at Q3, and the line for the median in the middle. Label the lower whisker, the upper whisker, the median, Q1, and Q3. The box plot of the given data is:

The lower whisker is at 5.2 and the upper whisker is at 5.7. The median is at 5.4. Q1 is at 5.3, and Q3 is at 5.6.

Learn more about box plot at

https://brainly.com/question/31856042

#SPJ11

Answer:

(3)=5-2

Step-by-step explanation:

5=2+3 or 5=3+2.

Answer:

Disagree ΔABC ≅ ΔDEC by ASA butt by SAS

Step-by-step explanation:

point C is the midpoint of (A/E), C is also the midpoint of (B/D )

BC = CD   and AC = CE

∠BCA = ∠ECD

ΔABC ≅ ΔDEC by SAS not by ASA

The old price at which dora bought 20 liters of petrol is $0.30 per liter.

Given, dora bought 20 liters of petrol at old price.

The cost of petrol rises by 2 cents later.

Then she bought 10 liters at the new price.

Altogether the petrol costs = $9.20

old price for 1 liter = ?

let the old price for 1 liter of petrol be x.

Based on the conditions , we formulate:

20x+10(x+2)=920

20x+10x+20=920

30x+20=920

30x=920-20

30x=900

x=900/30

x=30

x=$0.30

hence the old price of the petrol is $0.30 per liter.

Learn more about Solving equations here:

brainly.com/question/13729904

#SPJ1

Answer:

= 4

Step-by-step explanation:

2a^2-4b

=2(2)^2-4(1)

=2×4-4

= 8-4

=4

Answer: x > 3

Step-by-step explanation:

Step 1: Subtract 5x from both sides.

−2x+9−5x<5x−12−5x

−7x+9<−12

Step 2: Subtract 9 from both sides.

−7x+9−9<−12−9

−7x<−21

Step 3: Divide both sides by -7.

−7x/−7 < −21/−7

x > 3

On a line graph it would look like this:

The person can get 3 fives, 2 sixes, and 1 two in 336 ways.

To find the number of ways to roll 3 fives, 2 sixes, and 1 two in 6 rolls of a standard six-sided die, we can use the formula for combinations with repetition:

\(C(n + k - 1, k) = C(6 + 3 - 1, 3) * C(3 + 2 - 1, 2) * C(1 + 1 - 1, 1)\)

where n is the number of possible outcomes (in this case, 6), k is the number of choices to make (in this case, 3 for fives, 2 for sixes, and 1 for twos), and C(n + k - 1, k) represents the number of combinations with repetition.

Using this formula, we can calculate:

\(C(8, 3) * C(4, 2) * C(1, 1) = 56 * 6 * 1 = 336\)

Therefore, there are 336 ways to roll 3 fives, 2 sixes, and 1 two in 6 rolls of a standard six-sided die.

You can learn more about combination at

https://brainly.com/question/28065038

#SPJ11

Answer:

Area of circle = 33.17 yd²

Explanation:

First, we need to convert the number 3 ¼ yd into a decimal number, so:

Then, the area of a circle can be calculated using the following equation:

Where π is approximately 3.14 and r is the radius of the circle. So, if we replace π by 3.14 and r by 3.25 yd, we get:

Therefore, the answer is 33.17 yd²

The different representatives of the same equivalence class produce different outputs. Let's consider two integers, x and y, such that [x]8 = [y]8, meaning x and y are congruent modulo 8. The rule f: Z8 → Z10 defined as ƒ : [x]8 → [6x]10 is not well-defined.

For a function to be well-defined, it must produce the same output for equivalent inputs. In this case, the input is an equivalence class [x]8 representing congruent integers modulo 8, and the output is an equivalence class [6x]10 representing congruent integers modulo 10.

To show that f is not well-defined, we need to demonstrate that different representatives of the same equivalence class produce different outputs. Let's consider two integers, x and y, such that [x]8 = [y]8, meaning x and y are congruent modulo 8.

If f were well-defined, we would expect f([x]8) = f([y]8). However, applying the function f, we have f([x]8) = [6x]10 and f([y]8) = [6y]10. To show that f is not well-defined, we need to find an example where [6x]10 ≠ [6y]10, even though [x]8 = [y]8.

Let's consider an example where x = 2 and y = 10. In this case, [x]8 = [10]8 and [y]8 = [10]8, indicating that x and y are congruent modulo 8. However, f([x]8) = [6x]10 = [12]10, and f([y]8) = [6y]10 = [60]10. Since [12]10 ≠ [60]10, we have shown that f is not well-defined.

Therefore, the rule f: Z8 → Z10 defined as ƒ : [x]8 → [6x]10 is not well-defined.

Learn more about congruent integers here:

https://brainly.com/question/31474308

#SPJ11

Answer:

check b, c, and d

Step-by-step explanation:

not all functions are linear so don't click A.

Answer:

I'm not sure if it's c but b and d are true

Step-by-step explanation:

Sorry this is late.... need the points

The next year's expected cash flow if there is a 50/50 probability that it will be either $10 million or $60 million is $35 million.

Probability refers to possibilities. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. The probability formula states that the ratio of positive outcomes to all other outcomes determines how likely an event is to occur.

Sum of outcomes= 410+$60=$70 million

Number of outcomes=2

As the probability is 50/50, the next year’s expected cash flow will be

10+60/(2)

=70/2

=35 million dollars.

To learn more about probability, visit: https://brainly.com/question/9793303

#SPJ4

Answer:

S = 38 degrees

Step-by-step explanation:

If the sides ST and TU are the same and T equals 38, then S is 38 too.

Answer:

y = - \(\frac{3}{4}\) x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 12, 4 ) and (x₂, y₂ ) = (0, - 5 ) ← coordinates of 2 end stars

m = \(\frac{-5-4}{0-(-12)}\) = \(\frac{-9}{0+12}\) = \(\frac{-9}{12}\) = - \(\frac{3}{4}\)

the lowest star is on the y- axis at (0, - 5 ) ⇒ c = - 5

y = - \(\frac{3}{4}\) x - 5

Answer:

$700

Step-by-step explanation:

She's willing to pay up to $3000.

She pays only $2300.

consumer surplus = $3000 - $2300 = $700

Answer:

$700

Step-by-step explanation:

Anna's consumer surplus is the difference between her willingness to pay and the price she actually paid, which is $3000 - $2300 = $700.

Therefore, the answer is $700.

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Read more about area here:https://brainly.com/question/27440983

#SPJ1

Answer:

11

31

59

163

djdhxnwnxnwjsnhsd

Answer:

x= -7 and y=37

Step-by-step explanation:

substitute y=-26-9x in -2x-y=12

-2x-(-26-9x)=12

-2x+26+9x=12

-2x+9x=12-26

7x= -14

x= -14/2

x= -7

substitute x=-7 in y=26-9x

y= -26-9x

y= -26-9(-7)

y= -26+63

y=37

x= -7 and y=37

Answer:

Substitute your answer for Step 1 into the second equation to solve for Z.

The quantity that is equal to the energy per second generated by fusion in the Sun's core is the temperature of the Sun's core. Therefore, the correct option is C.

The fusion reactions that occur in the core of the Sun release energy in the form of radiation and heat, and this energy is transported outwards towards the photosphere. The temperature of the core is directly related to the rate of fusion reactions and the amount of energy generated.

The luminosity of the photosphere (option b) and the force of gravity holding the Sun together (option d) are important factors in understanding the overall behavior of the Sun, but they are not directly related to the energy generated by fusion in the core. The temperature at the photosphere (option a) is also not directly related to the energy generated by fusion in the core, although it is a measure of the temperature of the outer layers of the Sun where visible light is emitted. Hence, the correct answer is option C.

Learn more about Fusion:

https://brainly.com/question/17870368

#SPJ11

Answer:

52.5

Step-by-step explanation:

7.50 x 7

Answer: 392 meters

Step-by-step explanation:

We will set up a proportion to help us solve.

         \(\displaystyle \frac{112 \;\;meters}{x \;\;meters\;\; shadow} = \frac{1 \;meter}{3.5 \;\;meters \;\;shadow}\)

Next, we will cross-multiply:

         1 * x = 112 * 3.5

         x = 392 meters

The shadow will be 392 meters long.

Answer:

15/33

Step-by-step explanation:

Answer:

15/33

Step-by-step explanation:

Answer:

Since the Y coordinate is constantly 9, it is a horizontal line.

Step-by-step explanation:

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (5, 9) and (x₂, y₂ ) = (3, 9)

m = \(\frac{9-9}{3-5}\) = \(\frac{0}{-2}\) = 0

n/16 lies between 4/16 and 8/16

So, n can be 5,6,7

Answer:

5, 6 , 7

Step-by-step explanation:

Change 1/4 and 1/2 to the values they would be if their denominator was 16

1/4 will become 4/16

1/2 will become 8/16

the values between these are 5/16, 6/16, 7/16

n can be 5, 6 or 7

The solution to the system of equation is (-1, -6)

Given the system of equations

2x - 3y = 16

5x - 3y = 13

Subtract to have:

2x-5x = 16 - 13

-3x = 3

x = -3/3

x = -1

Substitute x = -1 into 1 to have:

2(-1) - 3y = 16

-2 - 3y = 16

-3y = 16 + 2

-3y = 18

y = -6

Hence the solution to the system of equation is (-1, -6)

Learn more on system of equation here: https://brainly.com/question/14323743

#SPJ1

Answer: 35.78 cm squared

Formula: area = s² * sin(angle)

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

For more such questions on final cost

https://brainly.com/question/29509552

#SPJ8

Answer:

I think it's 160...

Step-by-step explanation:

1/4 of 1000 is 250

250

- 90

____

160