What is happening to this graph when the x-values are between -1and 1?

Answer:

It is 4 cavities

Step-by-step explanation:

The interquartile range (IQR) of the data in the dot plot is 4

From the question, we are to determine the interquartile range (IQR) of the data

From the diagram, we can produce the data set

0, 0, 0, 1, 1, 3, 3, 4, 7, 7

Now, we will determine the interquartile range of this data set.

The interquartile range is the difference in value between the upper quartile and lower quartile.

The upper quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order.

The lower quartile (Q1), is the value under which 25% of data points are found when they are arranged in increasing order.

∴ IQR = Q3 - Q1

From the data set

0, 0, 0, 1, 1, 3, 3, 4, 7, 7

Upper quartile (Q3) = 4

and

Lower quartile (Q1) = 0

∴ Interquartile range (IQR) = 4 - 0

IQR = 4

Hence, the interquartile range (IQR) of the data in the dot plot is 4

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Answer:

-6 ≥ r

Step-by-step explanation:

–5 ≥ 5 (r+5)

Divide each side by 5

–5/5 ≥ 5/5 (r+5)

–1 ≥  (r+5)

Subtract 5 from each side

-1-5 ≥ r+5-5

-6 ≥ r

Answer:

9=7+a....................equation 1

a+8=b+5................equation 2

equation 1

9=7+a

9-7=a

2=a

a=2

put equation 1 into equation 2

2+8=b+5

10= b+5

10-5= b

5=b

b=5

meaning value of b=5

The value of b is 5 for the given equations 9 = 7 + a and a + 8 = b+5.

The substitution method is the algebraic method to solve simultaneous linear equations. In this method, the value of one variable from one equation is substituted in the other equation.

According to the given question we have , two equations

[tex]9 = 7+a...(i)[/tex]

and [tex]a + 8 = b + 5...(ii)[/tex]

From equation (i)

9 = 7 + a

⇒ a = 9 -7

⇒  a = 2

Substitute the value of a in equation (ii)

⇒ 2 + 8 = b + 5

⇒ 10 = b + 5

⇒ b = 10 -5

⇒ b = 5

Hence, the value of b is 5 for the given equations 9 = 7 + a and a + 8 = b+5.

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Answer:

B= 55°

Step-by-step explanation:

A+B+C= 180°

90°+B+35°=180°

B= 55°

Answer:

Step-by-step explanation:

Answer:

45 miles

Step-by-step explanation:

5 miles = 8 km

72 km = 9 * 8 km

Since 8 km = 5 miles, replace 8 km with 5 miles

72 km = 9 * 8 km = 9 * 5 miles = 45 miles

Answer:

Step-by-step explanation:

AP = 8, 24 , 40....

a = 8 , d =16 , n =98 , An = ?

an= a +(n-1)d

an = 8+97*16

an=8+1552

an=1560

hope it helps you..

The 98th term of the arithmetic sequence ( 8, 24, 40, . . . ) is 1560 ( One thousand five hundred and sixty ).

An arithmetic sequence is simply a sequence of numbers in which the difference between the consecutive terms is constant.

The nth term is an arithmetic sequence is expressed as;

aₙ = a₁ + ( n - 1 )d

Where aₙ is the nth term, a₁ is the first term in the sequence and d is the the common difference between terms.

Given the data in the question;

We substitute our given values into the expression above.

aₙ = a₁ + ( n - 1 )d

a₉₈ = 8 + ( 98 - 1 )16

a₉₈ = 8 + ( 97 )16

a₉₈ = 8 + 1552

a₉₈ = 1560

Therefore, the 98th term of the arithmetic sequence ( 8, 24, 40, . . . ) is 1560 ( One thousand five hundred and sixty ).

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Answer:

9,11

Step-by-step explanation:

let the numbers be x, x+2 (since consecutive odd integers have a difference of 2)

therefore;

x(x+2)= 99

x²+2x=99

I usually solve the sum like this,

we need to find the nearest square number ( number smaller than the number on the R.H.S)

here, it is 81, whose square root is 9. therefore the solution is 9

verification:

(9)²+2*9=99

81+18=99

99=99

hence, 9 is the solution. therefore the positive odd consecutive integers are  

x=9

x+2=9+2= 11

verification:

9*11=99

99=99

L.H.S=R.H.S

Answer:

3.019 hours.

Step-by-step explanation:

In this case they ask us to calculate the time in hours that are in those distances, for this we have the speed and the distance, we know that speed is equal to:

v = d / t

therefore the time would be:

t = d / t

we must pass the distance that is in kilometers to miles, like this:

350 km * 1 mile / 1.61 km = 217.4 mi

Now if replacing:

t = 217.4 / 72 = 3.019

Therefore, the time would be 3.019 hours.

Answer:

-45

Step-by-step explanation:

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

Find the area of the big rectangle first:

14 x 11 = 154

Fine the area of the small rectangle:

5 x 3 = 15

Use πr^2

π(4)^2 = 16π

Divide this by 4 as it is only a quarter of the circle:

16π / 4 = 4π

Add all the values together:

4π + 154 + 15 = 181.5663709

Round this off as needed.

To 2 d.p. it is 181.57 in^2

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Answer: x(-1.8-6y)  =  -1.8*x -6*y*x

Step-by-step explanation:

The distributive property says that if we have:

A*(B + C) where A, B and C can be any numbers, we can expand the equation as:

A*(B + C) = A*B + A*C.

So, in this case, we have the equation:

x*(-1.8 - 6y)

so we can expand this as:

x*(-1.8 - 6y) = x*(-1.8) + x*(-6*y) = -1.8*x -6*y*x

Answer:

B

Step-by-step explanation:

it B pls mark me i calculated it 4 time pls

Answer:

on edge?

Step-by-step explanation:

Option A to buy has a total cost of 20,579 dollars, up-front cost of 2,500 dollars, monthly payment of 338 dollars for 60 months, and no mileage restriction. Option B to lease has a total cost of 12,169 dollars, up-front cost of 3,925 dollars, monthly payment of 229 dollars for 36 months, and mileage restriction of 10,000 per year.

You live 17 miles from work. You can expect to drive a minimum of  

miles per week.          170

You will work about 48 weeks per year, so you can expect to drive a minimum of                 8,160      miles per year.

You have a vacation planned and you expect to drive approximately 2,000 miles round trip. If you take the vacation, you      WILL NOT    stay under your mileage restriction if leasing.

Answer:

4 amperes

Step-by-step explanation:

I graphed the function on the graph below to find the maximum value of c.

Answer:

The ticket is bought for 28 students.

Step-by-step explanation:

It is given that the teacher is going to buy museum ticket for each students.

Total money spent = $182

Price of each ticket = $6.50

Let total number of tickets bought = [tex]x[/tex]

We know that to find the total amount of money spent on ticket, we can add price of each ticket (i.e. $6.50) [tex]x[/tex] number of times.

OR

In other words, simply multiply the number of tickets with price of each ticket to find the total money spent.

Total money spent = [tex]x \times 6.50[/tex]

We know that total money spent is $182.

[tex]\Rightarrow x \times 6.50 = 182\\\Rightarrow x = \dfrac{182}{6.50}\\\Rightarrow x = 28[/tex]

The ticket is bought for 28 students

Answer:

7cm

Explanation:

Perimeter= 34cm

13+14= 27cm

34-27= 7cm

Answer:

Solution

[tex]area = 2 \sqrt{510} \: {cm}^{2} \\ perimeter = 34 \: cm \\ ab = 14 \: cm \\ bc = 13 \: cm \\ ac = \\ perimeter = ab + bc + ca \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:or \: 34 = 14 + 13 + ca \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 34 = 27 + ca \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - ca = 27 - 34 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - ca = - 7 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ca = 7 \: cm[/tex]

hope this helps ....

good luck on your assignment...

Answer:

Step-by-step explanation:

According to the diagram shown, ∠OPQ = ∠OQP = 18°. If PQT is a tangent to the circle, it can be inferred that line OQ is perpendicular to line QT. Ths shows that ∠OQT = 90°.

Also from the diagram, ∠OQP + ∠PQT = ∠OQT;

∠PQT  = ∠OQT -  ∠OQP

Given ∠OQP = 18° and ∠OQT = 90°

∠PQT = 90°-18°

∠PQT = 72°

Answer:

x = 5

Step-by-step explanation:

5x + 7/2 = 3/2x - 14

like terms together;

5x - 3/2x = -14 - 7/2

7/2x = 35/2

divide both sides by the reciprocal of the fraction next to the unknown

divide by 2/7

x = 5

Answer:

21°

Step-by-step explanation:

Supplementary is defined as two angles whose sum is 180. These angles must therefore be on a straight line cut by a transversal and must be less than 180 by themselves.

If one angle is 159, then we can simply subtract it from 180 to get the other angle.

A more algebraic way is to set up the equation, 159 + x = 180. Subtract 159 from 180 to find x.

The Measure of supplementary angle is 21⁰.

The pair of angles that always add up to 180 degrees are referred to as supplementary angles. The term "supplements of each other" refers to these two angles. The Latin words "Supplere" and "Plere" are the source of the word "supplementary." "Supplere" means "supply," while "Plere" means "fill." Thus, "something when supplied to complete a thing" is the definition of "supplementary."

Given an angle 159⁰

and according to supplementary angles property,

when sum of two angles is 180⁰ are supplementary

∠A + ∠B = 180⁰ (angles are supplementary)

Let the another angle be x

159 + x = 180

x = 180 - 159

x = 21⁰

Hence the supplementary angle is 21⁰.

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Answer:

If I do not like art class, then I do not like painting.

Step-by-step explanation:

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Step-by-step explanation:

Answer:

Paco contributed = 360pesos

Juan contributed = 504pesos

Question:

Two brothers gathered their money to buy a gift for their dad. Between them they gathered 864, which amount each contributed if Paco gave 5 pesos for every 7 that Juan gave.

Step-by-step explanation:

Let the common factor between each brother = p

Paco gave = 5×common factor = 5p

Juan gave = 7×common factor = 7p

Total money contributed by both brothers = 864

Total money contributed by both brothers = 5p + 7p

5p + 7p = 864

12p = 864

p = 864/12

p = 72

Paco contributed = 5p = 5×72 = 360pesos

Juan contributed = 7p = 7×72 = 504pesos

Answer:

B. ΔDEF ≅ ΔSRU

Step-by-step explanation:

Hope this helps!

The congruence statement is [tex]\triangle D EF \cong \triangle SRU[/tex]

The pre-image of the triangle is triangle DEF.

When reflected over the y-axis, and then translated down 4 units and right 3 units, the image of the triangle is SRU

Translation and reflection are rigid transformations.

Hence, the congruence statement is [tex]\triangle D EF \cong \triangle SRU[/tex]

Read more about transformation at:

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Answer: r < 389

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

Rushawn's possible finishing times (r) must be less (<) than Josie's finishing time (329) plus 60 seconds.

Mathematically speaking:

r < 329+60

r < 389

So, the correct option is the last one.

Feel free to ask for more if needed or if you did not understand something.

Answer: r < 389

Step-by-step explanation:

Answer:

Therefore the sum of three odd numbers is always an odd number. Hence Proved. Let the number is 15,13 and 3 then 15=2*7+1 13=2*6+1 3=2*1+1 where 1,6 and 7 now 15+13+3=2*7+1+2*6+1+281+11 =2(7+6+1)+3 =2*14+3(24 is our 'm') and 2*14≠30. OR 15+13+3≠30

Step-by-step explanation:

The question is that you cannot get 30 by adding any three odd numbers because addition of 3 odd numbers always give another odd number and hence 30 which is an even number cannot be achieved. 2n-1 where n is a natural number.

Answer: 187.5 tons of cement

Step-by-step explanation:

From the question, Sadie's Road Paving Company used 750 tons of cement to pave 4 miles of roadway. To calculate the number of cement on average that the company use per mile, we divide 750 tons of cement by 4 miles. This will be:

= 750 tons of cement/4

= 187.5 tons of cement

The company used 187.5 tons of cement per mile.

Answer: The company used 187.5 tons per mile.

Step-by-step explanation:

Hi, to answer this question we simply have to divide the amount of cement used (750 tons) by the miles that the company pavemented (4 miles):

Mathematically speaking:

750 t / 4 m = 187.5 tons per mile

The company used 187.5 tons per mile.

Feel free to ask for more if needed or if you did not understand something.

Answer:

√b/a

Step-by-step explanation:

Answer:

n = ± [tex]\sqrt{\frac{b}{a} }[/tex]

Step-by-step explanation:

Given

an² = b ( divide both sides by a )

n² = [tex]\frac{b}{a}[/tex] ( take the square root of both sides )

n = ± [tex]\sqrt{\frac{b}{a} }[/tex]

Answer:

2 minutes 10 seconds!!!!!

Answer:

1600

Step-by-step explanation:

40x40