A class of 37 students took a test worth 100 points. The five-number summary of their scores is 55, 67, 73, 81, 98. Give an interval of typical test scores that represents the middle 50% of grade distribution.

Answers

Answer 1

Answer:

(67, 81)

Step-by-step explanation:

Given that :

Five number summary of scores :

55, 67, 73, 81, 98

Five number summary :

Minimum = 55

Lower quartile = 67

Median = 73

Upper quartile = 81

Maximum = 98

Interval which represents the middle 50% of the grade distribution is the interquartile range, which is the difference between the upper and lower quartile

Hence the interval is ;

Q1, Q3

Q1 = 67 ; Q3 = 81

(67, 81)


Related Questions

Round 324.9845 to the nearest hundreths E

Answers

Answer:

324.98 I think is correct

Answer:

324.99

Step-by-step explanation:

A relation is

1)the output(y) vaules of the relation
2) the input (x) vaules of the relation
3)a set of points that pair input vaules with output vaules
4)x and y vaules written in the form (x,y)

WILL MARK BRAINLEST​

Answers

Answer:

its 2

Step-by-step explanation:

can i get brainliest

Figure LMNO maps to L'M'N'O' by a 125° rotation about point T.

Quadrilateral L M N O is rotated 125 degrees about point T to form quadrilateral L prime M prime N prime O prime.

Which congruency statement is correct?

LMNO ≅ L'M'N'O'
LMNO ≅ O'M'N'L'
ONML ≅ M'O'N'L'
ONML ≅ O'M'N'L'

Answers

Answer:

A= LMNO ≅ L'M'N'O'

Step-by-step explanation:

just did it trust me

A= LMNO ≅ L'M'N'O'. Hope this helps!!

NAFTA was important to North America countries because it ________. A. Broke down trade barriers
B. established a military alliance
C. Promoted alternative energy sources
D Provided free healthcare for all people


Please give me the right answer for 33 points.

Answers

Answer:

A. broke down trade barriers


If C is the midpoint of BD, what is the coordinate of point C if point B is at 0?

Answers

Answer:

It depends on where point D is placed so C > 0

Step-by-step explanation:

As i said above

We want to find the coordinate of C given that it is the midpoint of BD.

We know that B is at 0, so we can assume that each letter represents a position on the number line.

Then we can assume that D is located at a number different than zero, let's assume that D is located at the value d.

Then the segment BD goes from 0 to d, so its length is d.

Then the midpoint is at the middle, at d/2 plus the smallest value, 0:

C = d/2 + 0 = d/2

If you want to learn more, you can read:

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Tuition for one year at the University of Houston is about $12,300. Azul plans to attend this university and will save money each month for the next 4 years. His parents have saved $4,860 for his first year of tuition. Which plan shows the amount of money Azul will need to save in order to pay for his first year at the University of Houston?

A. Azul will need to save $1,860 per month for the next 4 years.
B. Azul will need to save $155 per month for the next 4 years.
C. Azul will need to save $620 per month for the next 4 years.
D. Azul will need to save $256.25 per month for the next 4 years

Answers

Answer:

It should be C. 620

Step-by-step explanation:

Using proportions, it is found that Azul will need to save $155 per month for the next 4 years, and the correct option is B.

The total price of one year of tuition is $12,300, while his parents have saved $4,860.

Thus, the amount he has to save for the next 4 years is:

[tex]A = 12300 - 4860 = 7440[/tex]

4 years have 48 months, thus, he has to save $7440 in 48 months, which means that the monthly amount is:

[tex]\frac{7440}{48} = 155[/tex]

And the correct option is:

B. Azul will need to save $155 per month for the next 4 years.

A similar problem is given at https://brainly.com/question/24342347

Which of the following explains the relationship between angles A and D?

Answers

Complementary angle

what is 913 divided by 31

Answers

There is something called a calculator

solve

log5(2)+log5(x)-log5(x-1)=log5(3)

Answers

Step-by-step explanation:

log5(2)+log5(x)-log5(x-1)=log5(3)

log5(2x) = log5(3)+log5(x-1)

log5(2x) = log5(3Xx-1)

2x = 3x-3

x= 3

Explain how to use the distributive property to find the product (3) ( 4 /1 5 )

Answers

Answer:

Reduce the expression, if possible, by cancelling the common factors.

the answer is 4/5 or 0.8 :)

Step-by-step explanation:

Answer:

Sample Response: Rewrite 3 ( 4  1/5) as 3 ( 4 +  1/5 ). Distribute the 3 to get 3(4) + 3 (1 /5 ) . Multiply to get 12 + 3 /5  . Then add to get 12 3 /5 .

i need workings and answer to this question above.​

Answers

Answer:

D.82km/hr

hope it helps

7)
Which is the correct solution for the system?
3y = 6 - 2x
8x = 3y - 1
A)
5
and y =
B)
5
x = 2 and y =
win
C)
2
x = 3 and y =
12 /
UIN
x = 3 and y =
OM

Answers

Answer:

3y = 6 - 2 ( 0 ) take

x zero and find value of y

3y = 6 - 2 ( 0 )

3y = 6 - 0

3y = 6

both sides divide by 3

ans : y = 2

now we can find so the value of x

3y = 6 - 2x

3( 0 ) = 6 - 2x

when we find the value x we take y ( 0 ) zero

3 ( 0 ) = 6 - 2x

0 = 6 - 2x

0 + 6 = - 2x

6 = -2x

both sides divide by -2

ans or value of x is 3

Step-by-step explanation:

first

- find one of the values of x and y

two :

- when you solving this

take y ( 0 ) if you search / find the value of X

A textbook costs $65.49 before tax. The tax on the textbook is 6.5% what is the total costs of the textbook

Answers

Answer:

65.49*0.065 = 4.26

Step-by-step explanation:

65.49*0.065 = 4.26

65.49+4.26 = $69.75

Answer:

$69.75

Step-by-step explanation:

65.49x6.5%= 4.26

65.49+4.26= 69.75

Don't forget your label!

Hope this helps!

-AxekickNebulite

Simplify
[tex]\sqrt{54[/tex]

Answers

The answer to your question is 7.34

[tex] \sqrt{54} = \sqrt{ 2 \times3 \times 3 \times 3}[/tex]

[tex] \sqrt{54} = \sqrt{ 2 \times 3} \times 3[/tex]

[tex] \sqrt{54} = \sqrt{6} \times 3[/tex]

[tex] \sqrt{54} = 3 \sqrt{6} [/tex]

Enter the correct answer in the box.
An airplane makes a round-trip supply run that takes a total of 6 hours and is 350 miles each direction. The air current going to the destination is
in the direction of the plane at 20 miles per hour. The air current traveling back to the starting point is against the plane at 20 miles per hour. Let
x represent the speed of the airplane, in mies per hour, when there is no wind.
Replace the values of a, b and c to create the equation that describes this situation.

Answers

Answer:

the anwser is x and it represents 350

Step-by-step explanation:

The speed of the airplane when there is no wind will be 116.67 miles per hour.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

An airplane makes a round-trip supply run that takes a total of 6 hours and is 350 miles in each direction.

The air current going to the destination is in the direction of the plane at 20 miles per hour.

The air current traveling back to the starting point is against the plane at 20 miles per hour.

Let x represent the speed of the airplane, in miles per hour, when there is no wind.

Then the speed of the airplane when there is no wind will be given by the average speed.

Then we have

x = (350 + 350) / 6

x = 700 / 6

x = 116.67 miles per hour

More about the speed link is given below.

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6x +2(5x - 6) simplified or expanded

Answers

Answer:

The answer is 16x-12

Step-by-step explanation:

6x+2(5x−6)

Distribute:

=6x+(2)(5x)+(2)(−6)

=6x+10x+−12

Combine Like Terms:

=6x+10x+−12

=(6x+10x)+(−12)

=16x+−12

Answer:

=16x−12

The probability that the first production line stops is 0.5 while the probability that the second production line stops is 0.22 . If the production lines work independently of each other what is the probability that both lines are working at any given time ?

Answers

Answer:

0.11

Step-by-step explanation:

The events are independent, so:

P(A and B) = P(A) × P(B)

P = 0.5 × 0.22

P = 0.11

The vertex of a parabola is (6,2), and the equation of its directrix is x = 8. What is the equation of this parabola in standard form?

a. (y−2)2=8(x−6)

b. (y−2)2=−8(x−6)

c. (x−6)2=−8(y−2)

d. (x−6)2=8(y−2)

Answers

Answer:

The equation of this parabola in standard form is (y - 2)² = -8(x - 6) ⇒ B

Step-by-step explanation:

Let us revise the standard form of the equation of a parabola

The standard form of the equation is (y - k)² = 4p(x - h), where

(h, k)  is the turning point (h + p, k)  are the coordinates of the focus x = h - p  is the equation of the directrix

∵ The vertex of a parabola is (6, 2)

→ From the fact above

h = 6 and k = 2

∵ The equation of its directrix is x = 8

→ From the fact above

h - p = 8

→ Substitute the value of h to find p

∵ 6 - p = 8

→ Subtract 6 from both sides

∴ - p = 2

→ Multiply both sides by -1

p = -2

→ Substitute the values of h, k, and p in the form above

∴ (y - 2)² = 4(-2)(x - 6)

∴ (y - 2)² = -8(x - 6)

The equation of this parabola in standard form is (y - 2)² = -8(x - 6)

if z is the circumcenter of triangle qrs find each measure

Answers

Answer:

Step-by-step explanation:

Circumcenter of A triangle is the center of a circle passing through the vertices of the given triangle.

So, the distance of Z from the vertices Q, R and S will be the radii of the circle.

Therefore, ZQ = ZR = ZS

Since, circumcenter of a triangle is defined by the point of intersection of the perpendicular bisectors of the sides of the given triangle.

Therefore, points W, X and Y are the midpoints of sides QR, RS and QS.

Using these facts,

a). QR = 2(WQ)

          = 2(25)

          = 50

b). Apply Pythagoras theorem in ΔRXZ,

    (RZ)² = (RX)² + (ZX)²

    (RZ)² = (40)² + (9)²

     RZ = √1681 = 41

c). XS = [tex]\frac{1}{2}(RS)[/tex]

          = [tex]\frac{1}{2}(80)[/tex]

          = 40

d). Since, ZQ = ZR = ZS

    ZS = 41

e). By applying Pythagoras theorem in ΔRWZ,

   (RZ)² = (WZ)² + (WR)²

   (41)² = (WZ)² + (25)²

   (WZ)² = (41)² - (25)²

    WZ = √1056

   WZ = [tex]4\sqrt{66}[/tex]

          ≈ 32.5

Applying the circumcenter theorem and the Pythagorean Theorem, the following measures are calculated as:

a. QR = 50

b. RZ = 41

c. XS = 40

d. ZS = 41

e. WZ = 32.5

Based on the circumcenter theorem of a triangle, the following holds true given that Z is the circumcenter of triangle QRS:

RZ, QZ, and ZS are equal (circumcenter Z is equidistant from the three vertices of ΔQRS).The perpendicular bisectors divides the three sides, RS, QS, and QR into equal parts each.Points X, Y, and W are at right angles.

Given:

RS = 80WQ = 25XZ = 9

a. Find QR:

QR = 2 × WQ = 2 × 25

QR = 50

b. Find RZ in right ΔXRZ:

XZ = 9 (given)

XR = 1/2(RS) = 1/2(80) = 40

Apply Pythagorean Theorem to find RZ

RZ = √(XZ² + XR²)

Substitute

RZ = √(9² + 40²)

RZ = 41

c. Find XS:

XS = 1/2(RS) = 1/2(80)

XS = 40

d. Find RZ:

RZ = ZS = QZ = 41 (equidistant)

ZS = 41

e. Find WZ in right ΔWRZ:

WR = WQ = 25

WR = 25

RZ = 41

Apply Pythagorean Theorem to find WZ

WZ = √(RZ² - WR²)

Substitute

WZ = √(41² - 25²)

WZ = 32.5

Learn more about the circumcenter theorem on:

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23.21 to the nearest hundredth​

Answers

Answer:

23.21

Step-by-step explanation:

The answer you have given is correct.

6.8x+9.3= -9.4+3.4(2-5x)

Answers

Answer: the answer to this is x=0.5

Step-by-step explanation:

In order to solve this you have to combine the multiplied terms into a single fraction so its going to look like this -   34x/5 + 9.3= -9.4+3.4(2-5x)

The reposition your terms and put together your multiplied terms into a fraction,Once you have that done distribute them

Subtract 9.3 on both sides.you may simplify and then multiply all the terms with the same value to get rid of the denominators from the fractions

also add 85x to both sides then finally divide both side by the same term which get you -59.5/119 and then simplify and you get -0.5

so x= -0.5

Answer:

x=-0.5

Step-by-step explanation:

step 1

6.8x+9.3=-9.4+3.4(2-5x)

6.8x+9.3=-9.4+(3.4)(2)+(3.4)(-5x) distribute

6.8x+9.3=-9.4+6.8+-17x

6.8x+9.3=(-17x)+(-9.4+6.8) combine like terms

6.8x+9.3=-17x+-2.6

6.8x+9.3=-17x-2.6

step 2

add 17x to both sides.

6.8x+9.3+17x=-17x2.6+17x

23.8x+9.3=-2.6

step 3

subtract 9.3 from both sides.

23.8x+9.3-9.3=-2.6-9.3

23.8x=-119

step 4

divide both sides by 23.8

23.8x/23.8= -11.9/23.8

The answer is =-0.5

Which is 147.975 rounded to the nearest tenth?

Answers

Answer:

148

Step-by-step explanation:

the answer is 148 , when rounding to the tenths, you forget about everything after the first decimal place. if the first decimal place is bigger than 5 , it rounds up. so in this case, it would round to 10 which makes the decimal place a 0 and you have to carry the one to the 147 and you get 148

what are exponents?
they are very hard for me

Answers

this is an example hope this helps

An airplane is traveling with an airspeed of 500 mph in the direction N 60° E. A wind blows directly south at 50 mph. What is the plane’s drift angle?

3.84°
5.21°
60.00°
65.21°

Answers

Answer:

5.21

Step-by-step explanation:

Got it right on edg

Answer:

B) 5.21°

Step-by-step explanation:

got it right on edge :)

What is the 100th term in the sequence an= 4n-12

Answers

388 is the answer to this equation

The hundredth term of the given sequence is 388.

What is a sequence?

In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given that, we need to find the 100th term in the sequence an= 4n-12,

Put n = 100,

a₁₀₀ = 4 x 100 - 12

= 400 -12

= 388

Hence the hundredth term of the given sequence is 388.

Learn more about sequence, click;

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I need help on this

Answers

Answer:

,b j,mbnlvj lcv

Step-by-step explanation:

nb ckhbv m

i just want want points sorry! :)

If ∠BAC ≅ ∠DCA, is ABE ≅ CDE? Explain.

A. Yes; the triangles are congruent by AAS.
B. Yes; the triangles are congruent by ASA.
C. Yes; the triangles are congruent by SAS.
D. No; the triangles are not congruent.

Answers

Answer:

The answer is A.

Step-by-step explanation:

It is A because both sides match up except for the last pair, where they are the same. Hope this helped!

a cow heart beat 325 in 5 minutes. about how many times does a cow's heart beat in 2 minutes?

Answers

Answer:

130

Step-by-step explanation:

You can make a ratio - 325:5, then we can simplify it to 65:1, where we are comparing # of beats in 1 minute. Now, we can just multiply both sides by two, getting us 130:2, which is just 130 beats.

Kai is looking for his first job as a pharmacy technician. He prepares for the job by memorizing household, metric, and apothecary abbreviations. In addition, he memorizes the methods for converting data between those measurement systems. Perform the following calculation using the ratio and proportion method. How many ounces (oz) are equal to 4 cups?

Answers

Answer:

Step-by-step explanation:

0.5: 4

pLZ NAME MEE THE brainliest thank u

Convert 1.05 to a percent.

Answers

Answer:

105%

Step-by-step explanation:

you would just move the decimal 2 places to the right

First convert the decimal fraction to a common fraction then multiply the common fraction by a 100 to convert it to a percentage. See full working in the picture below and don’t forget the brainleast if this was helpful :):)
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