What is the interquartile range of this data set 2,5,9,1118,30,42,55,58,73,81

Answer:

The arcs are not congruent which makes the statement false.

Step-by-step explanation: Congruent means equal to my understanding.

Answer:

The answer is C

Step-by-step explanation:

I just answered it on edg

The second step is

2.5 (42 ÷ 3.2 – 2 + 3) - 5.2

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Step 1:

2.5 (42 ÷ 3.2 – 10(0.2) + 3) - 5.2

Step 2:

2.5 (42 ÷ 3.2 – 2 + 3) - 5.2

Step 3:

2.5 (13.125 + 1) - 5.2

Step 4:

2.5 (14.125) - 5.2

Step 5:

35.3125 - 5.2

Step 6:

30.1125

Thus,

The value of the expression is 30.1125.

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Answer:

2.4 hours Electrician works.

Step-by-step explanation:

Let us assume that the number of hours  Electrician works be x.

As given

An Electrician charges $30 for a service call plus $75 per hour of service.

If Electrician  charged $210.

Than the equation becomes

30 + 75x = 210

75x = 210 - 30

75x = 180

[tex]x =\frac{180}{75}[/tex]

x =2.4 hours

Therefore 2.4 hours Electrician works.

Answer:

option A  and E

Step-by-step explanation:

Arithmetic sequence converge,  only  in the case only when r=0

otherwise , arithmetic sequence goes increasing or decreasing at a constant rate.

So we ignore second and fourth option

If |r|<1 then geometric sequence converge

if |r|>1 then geometric sequence diverge

In option A, r= 1/5  that is less than 1  so it converge

In option C, r= -2 , |r| > 1 so geometric sequence diverge

In option E, r= 2/3 that is less than 1  so it  converges

Answer is option A  and E

Answer:

missing data for the following exponential function is 27

Step-by-step explanation:

To find out missing data , we use the given f(x) equation

Given f(x) = 3^x

WE need to find the missing number f(x) when x=3

To find f(x) we plug in 3 for x  in f(x) = 3^x

[tex]f(x) = 3^3= 3*3*3= 27[/tex]

So missing number is 27

Answer:

B. 27

Step-by-step explanation:

3. Answer: y = 4

Step-by-step explanation:

Need to find the slope (m):

  [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

  [tex]\dfrac{4 - 4}{-3-1}[/tex]

= [tex]\dfrac{0}{-4}[/tex]

= 0

Now input ONE of the points (1, 4) and the slope (m = 0) into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 4 = 0(x - 1)

y - 4 = 0

y      = 4

********************************************************************

4. Answer: [tex]\bold{y = \dfrac{2}{3}x + 3}[/tex]

Step-by-step explanation:

 [tex]y - y_1 = m(x - x_1)[/tex]

 [tex]y - 1 = \dfrac{2}{3}(x - (-3))[/tex]

 [tex]y - 1 = \dfrac{2}{3}(x + 3)[/tex]

 [tex]y - 1 = \dfrac{2}{3}x + 2[/tex]

 [tex]y = \dfrac{2}{3}x + 3[/tex]

Answer:

D.

Step-by-step explanation:

Add the x values and divide by the amount of x's and same with the y's

Answer:

Option a. Greece.

Step-by-step explanation:

According to the table listing average daily expenses for a tourist by country based on high and medium categories,

Brazil has a range from = $12.25 to $18.33

Greece has a range from = $9.48 to $16.55

To find out the difference in range, first we get range of both the countries.

by subtracting lowest from highest

Brazil = $18.33 - $12.25 = 6.08

Greece = $16.55 - $9.48 = 7.07

= 7.07 > 6.08

Therefore, Greece has the larger difference between categories.

Option a. Greece is the correct answer.

Answer:

1 foot = 0.305 meters.

Convert 1 meter to feet:

1 meter = 1/0.305 = 3.28 feet

Find the weight in pounds per meter:

5 pounds x 3.28 feet = 16.4 pounds per meter.

Convert pounds per meter to kilograms per meter:

16.4 pounds x 0.454 kilograms per pound = 7.44 kg/m

Answer:

Max for g(x) is 3

Max for f(x) is 2

Step-by-step explanation:

The maximum value of a function is the highest value on the graph of the function. It is the greatest value of the function and is always a y value. We can see on the graph that the blue function peaks at 3. The max is 3.

A normal sine or cosine without any transformations has the max of 1. We can see in the equation for f(x) that there is a vertical stretch of 2. So the max here is 2(1)=2.

Answer:

It should be A, $12.75

Step-by-step explanation: Add 10.5+10.5+10.5+4.5+4.5+6.75= $47.25, subtract 60-47.25= $12.75

Answer:

We are given that there are total 170 toy robots

Number of defective robots out of total 170 toy robots [tex]=20[/tex]

We have to find the percentage of toy robots that are disaffected.

The percentage of toy robots that are disaffected is given below:

[tex]\frac{20}{170} \times 100[/tex]

[tex]0.1176 \times 100[/tex]

[tex]11.76[/tex]

Therefore, the percent of toy robots that are disaffected is [tex]\bold{11.76\%}[/tex]

If you mean the y coordinate of that line, then it would be negative because it goes through -4 on the y axis.

In the equation 2.5x + 2y = 225, the term 2.5x represents the cost of dried fruit, with 2.5 being the cost per pound.

In the provided equation 2.5x + 2y = 225, where x stands for the pounds of dried fruit and y represents the pounds of nuts, the term 2.5x signifies the cost associated with the dried fruit in making the trail mix.

The coefficient 2.5 represents the cost per pound of dried fruit, which is $2.50. Therefore, multiplying the pounds of dried fruit (x) by the cost per pound (2.5) gives the total cost of the dried fruit in the trail mix. In essence, 2.5x calculates the financial contribution of the dried fruit to the overall cost of producing the trail mix.

For example, if there are 10 pounds of dried fruit (x = 10), then 2.5 times 10 equals 25, representing the cost, in dollars, of the dried fruit in the trail mix. This interpretation extends to any quantity of dried fruit used in the trail mix.

In summary, the term 2.5x in the equation 2.5x + 2y = 225 specifically denotes the cost associated with the pounds of dried fruit (x) used in producing the trail mix.

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Answer:

x = 1 11/15

Step-by-step explanation:

Using ratios of similar triangles

3            5.2

-------- = ----------

4            (5.2 + x)

Using cross products

3 * (5.2 + x) = 5.2 * 4

Distribute

15.6 + 3x = 20.8

Subtract 15.6 from each side

15.6-15.6 + 3x = 20.8 -15.6

3x =5.2

Divide each side by 3

3x/3 = 5.2/3

x = 5.2/3

x=52/30

x = 26/15

x = 1 11/15

11(.25)= 2.75

Cryus should order 3 pizzas.

Answer:

13,000 meters.

Step-by-step explanation:

We have been given that Lisa went on a 52 km hike. She divided the distance traveled evenly over 4 days.

Let us convert our given distance in meters.

1 km = 1,000 meters.

52 km= 52*1,000 meters = 52,000 meters.

Let us divide total distance traveled by total number of days to find the distance traveled per day.

[tex]\text{Lisa walked each day}=\frac{52000\text{ meters}}{\text{ 4 days}}[/tex]

[tex]\text{Lisa walked each day}=13,000\frac{\text{ meters}}{\text{ day}}[/tex]

Therefore, Lisa walked 13,000 meters each day.

Lisa hiked 52 km in 4 days, equaling to 13 km per day. However, this must be converted to meters, so Lisa hiked 13,000 meters each day.

This problem is an exercise in unit conversion and division. Since Lisa divided the total distance of 52 kilometers evenly over 4 days, she hiked 13 kilometers each day (52 km / 4 = 13 km/day). However, the question asks for the answer in meters, not kilometers. Therefore, we must convert kilometers to meters. We know that 1 kilometer is equivalent to 1000 meters, so Lisa hiked 13,000 meters each day (13 km * 1000 = 13,000 m/day).

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Final answer:

To eliminate the fractions in the equation x/2 + x/3 = 25/3, we need to multiply the entire equation by 6.

Explanation:

To eliminate the fractions in the equation x/2 + x/3 = 25/3, we need to find a common denominator for both fractions. The common denominator for 2 and 3 is 6. Therefore, we need to multiply the entire equation by 6 to eliminate the fractions.

Multiplying the equation by 6 gives us: 6(x/2) + 6(x/3) = 6(25/3)

Simplifying further, we get: 3x + 2x = 50

Combining like terms, we have: 5x = 50

Finally, dividing both sides of the equation by 5 gives us:  x = 10

Final answer:

To eliminate the fractions in the equation x/2 + x/3 = 25/3, one must multiply each term by 6, which is the least common multiple of the denominators 2 and 3, making option D correct.

Explanation:

The equation x/2 + x/3 = 25/3 should be multiplied by a number that is a common multiple of the denominators 2 and 3 to eliminate the fractions. To find the least common multiple (LCM) of 2 and 3, we can list out the multiples of these numbers (2,4,6,8,... for 2 and 3,6,9,12,... for 3) and identify the smallest multiple they have in common, which is 6. Therefore, multiplying the entire equation by 6 will eliminate the fractions and give us an equation with whole numbers.

Multiplying each term of the equation by 6 gives us: 6(x/2) + 6(x/3) = 6(25/3). Simplifying each term results in: 3x + 2x = 50 which is an equation without fractions.

The correct answer to the question is D. 6.

Answer:

I'm not sure if it is correct but i hope it helps you

Step-by-step explanation:

So you subtract 25 and 15 and you will get 10

then you add 65 and 5 and you will get 70

you add 45 and 20 and you will get 65

Answer:

B

Step-by-step explanation:

The expected value of profit margin is the sum of the product of profit margin and probability.

Wrench A:

... 10×.05 +20×.6 +30×.2 +40×.15 = 0.5 +12 +6 +6 = 24.5

Wrench B:

... (20+40)×.3 +(30+50)×.2 = 18 +16 = 34

Wrench C:

... 15×.4 +30×.5 +(45+60)×.05 = 6 +15 +5.25 = 26.25

Wrench D:

... 5×.2 +10×.4 +15×.15 +20×.25 = 1 +4 +2.25 +5 = 12.25

___

Clearly, Wrench B has the greatest expected profit margin. That would be the one Jose should order if he's trying to maximize his profit.

w - width

2w - length (l)

30 cm - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 30    divide both sides by 6

w = 5 cm

2w = 2(5) = 10

l = 10 cm

The area of a rectangle: A = lw.

Substitute:

A = (5)(10) = 50

Answer: D

Step-by-step explanation:

An on-line electronics store must sell at least $5000 worth of computers and printers per day.

Each printer costs $350 and each computer costs $750.

This equation is: 350p + 750c ≥ 5000

The store can ship a maximum of 20 items per day

This equation is: c + p ≤ 20

Answer:

Step-by-step explanation:

a) When will the height be 307 feet?

h = − 16t^2 + 171t + 17

307 = − 16t^2 + 171t + 17

Solving the quadratic equation by the general formula (find the plot attached). It reaches 307' twice as it is a parabolic shot.

t=2.1141s

t=8,5734s

b) When will the object reach the ground?

h = − 16t^2 + 171t + 17

0 = − 16t^2 + 171t + 17

t=-0.0985s (not real as there exists no negative time)

t=10.786s

The object will be at a height of 307 feet approximately 9.54 seconds after it was thrown. The object will reach the ground approximately 0.21 seconds after it was thrown.

To find when the height will be 307 feet, you can set the equation for the height h to 307 and solve for t:

h = -16t² + 171t + 17

307 = -16t² + 171t + 17

Now, let's rearrange the equation and set it equal to zero:

-16t² + 171t + 17 - 307 = 0

Combine like terms:

-16t² + 171t - 290 = 0

Now, you can solve this quadratic equation for t. You can use the quadratic formula:

t = (-b ± √(b² - 4ac)) / (2a)

In this case, a = -16, b = 171, and c = -290. Plug these values into the quadratic formula:

t = (-171 ± √(171² - 4 * (-16) * (-290))) / (2 * (-16))

Now, calculate the values for t:

t₁ = (-171 + √(171² - 4 * (-16) * (-290))) / (2 * (-16))

t₂ = (-171 - √(171² - 4 * (-16) * (-290))) / (2 * (-16))

Calculate t₁ and t₂ separately:

t₁ ≈ 9.54 seconds

t₂ ≈ -9.69 seconds

Since time cannot be negative in this context, we discard the negative solution. Therefore, the object will be at a height of 307 feet approximately 9.54 seconds after it was thrown.

To find when the object will reach the ground, you can set h equal to 0 and solve for t:

h = -16t² + 171t + 17

0 = -16t² + 171t + 17

Rearrange the equation:

-16t² + 171t + 17 = 0

Now, solve for t using the quadratic formula as we did before:

t = (-171 ± √(171² - 4 * (-16) * 17)) / (2 * (-16))

Calculate t₁ and t₂:

t₁ ≈ 0.21 seconds

t₂ ≈ 10.30 seconds

Again, you discard the negative solution. So, the object will reach the ground approximately 0.21 seconds after it was thrown.

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The formula:

[tex]\theta=\dfrac{\theta\pi}{180}[/tex]

We have

[tex]\theta=453[/tex]

Substitute:

[tex]453^o=\dfrac{453\pi}{180}=\dfrac{453\pi:3}{180:3}=\dfrac{151\pi}{60}\to\boxed{B)}[/tex]

The conversion of 453° into radians is 151π/60.

The angle made by taking the radius and wrapping it round the circle.

Given that, 453°

To convert any degree into radians, we multiply by π/180

453*π/180 = 151π/60

Hence, The conversion of 453° into radians is 151π/60.

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Answer:

(-10, 0) , (-4, 0)

Step-by-step explanation:

[tex]\text{We know that the parabola is given by the quadratic equation.}\\\text{let the general equation of the parabola is}\\\\y=a(x-h)^2+k, \text{ where (h, k) is the vertex of the parabola.}\\\\\text{here we have given that vertex, }(h,k)=(-7,45), \text{ so above equation gives}\\\\y=a(x-(-7))^2+(45)\\\\y=a(x+7)^2+45\\\\\text{now this parabola has y-intercept at }(0,-200), \text{ so with this point}\\\text{above equation gives}[/tex]

[tex]-200=a(0+7)^2+45\\\\\Rightarrow -200=49a+45\\\\\Rightarrow 49a=-245\\\\\Rightarrow a=-\frac{245}{49}=-5\\\\\text{so the equation of the parabola is}\\\\y=-5(x+7)^2+45[/tex]

[tex]\\\text{Now to find the x-intercepts, we set }y=0, \text{ so we get}\\\\-5(x+7)^2+45=0\\\\\Rightarrow -5(x+7)^2=-45\\\\\Rightarrow (x+7)^2=\frac{-45}{-5}\\\\\Rightarrow (x+7)^2=9\\\\\Rightarrow (x+7)=\pm \sqrt{9}\\\\\Rightarrow x+7=\pm 3\\\\\Rightarrow x=-7\pm 3\\\\\Rightarrow x=-7-3, \text{ and } x=-7+3\\\\\Rightarrow x=-10, \text{ and } x=-4\\\\\text{so x-intercepts of parabola occur at: }(-10,0), \text{ and }(-4,0)[/tex]

Final answer:

Billie has $2.02 left after buying fabric, craft glue, and craft paper, which in total cost her $14.93 from her initial $16.95.

Explanation:

To find out how much money Billie has left after purchasing her items, we need to calculate the total cost of the items and subtract it from the amount she had initially.

Fabric cost: $8.69

Craft glue cost: $1.95

Craft paper cost: $4.29

We add these amounts together to find the total cost of the items:

$8.69 (fabric) + $1.95 (glue) + $4.29 (paper) = $14.93.

Now, we subtract the total cost of items from the amount she had to start with:

$16.95 - $14.93 = $2.02.

Therefore, Billie has $2.02 left after her purchases.