Mathematics College

The five-number summary for scores on a statistics test is 11, 35, 61, 70, 79. in all, 380 students took the test. about how many scored between 35 and 61

Answers

Answer 1

Answer: There are 95 students who scored between 35 and 61.

Step-by-step explanation:

Since we have given that

The following data : 11,35,61,70,79.

So, the median of this data would be = 61

First two data belongs to "First Quartile " i.e. Q₁

and the second quartile is the median i.e. 61.

The last two quartile belongs to "Third Quartile" i.e. Q₃

And we know that each quartile is the 25th percentile.

And we need "Number of students who scored between 35 and 61."

So, between 35 and 61 is 25% of total number of students.

So, Number of students who scored between 35 and 61 is given by

[tex]\dfrac{25}{100}\times 380\\\\=\dfrac{1}{4}\times 380\\\\=95[/tex]

Hence, There are 95 students who scored between 35 and 61.

Answer 2

The number of students who scored between 35 and 61 is 95

The 5 number summary is the value of the ;

Minimum Lower quartile Median Upper quartile and Maximum values of a distribution.

The total Number of students = 380

The lower quartile (Lower 25%) = 35

The median (50%) = 61

The Number of students who scored between 35 and 61 : 50% - 25% = 25%

This means that 25% of the total students scored between 35 and 61.

25% of 380 = 0.25 × 380 = 95

Hence, 95 students scored between 35 and 61.

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Related Questions

Round $8.0443 to the nearest cent

Answers

$8.04 because the four is rounding down, therefore it should be $8.04.

I hope this helps.

To round $8.0443 to the nearest cent, we leave the second decimal at 4, since the third decimal is also a 4, resulting in $8.04

To round $8.0443 to the nearest cent, you need to look at the third decimal place, which is a '4'. Since we are rounding to the nearest cent, we only keep two decimal places. If the third decimal place is 5 or more, we would round up the second decimal place. However, because it is 4, we do not round up. Therefore, $8.0443 rounded to the nearest cent is $8.04

there are 207 students in 9 classes at east middle school at this rate how many students are in six classes

Answers

Hi Officiallylilly!
So 207 students in 9 classes, how many are in 6 classes? OK this is easy to solve so we do 207/9 to find out how many is in one class which is 23 in one class. Ok so if 23 is one class now we need to find out how many is in 6 classes which all we do is 23*6 which is 138.
Hope this helps!

What is a 6% increase to $62,900

Answers

6% = 0.06

multiply:

62900*0.06 = 3,774 ( Would be the amount of increase)

add:

62900 + 3774 = 66,674 (would be the new total)

Which of the following statements describes the process for solving 4 x ≥ -24?

Divide both sides of the inequality by -24 and flip the symbol.

Divide both sides of the inequality by -24 but don't flip the symbol.

Divide both sides of the inequality by 4 and flip the symbol.

Divide both sides of the inequality by 4 but don't flip the symbol.

Answers

Divide both sides of the inequality by 4 but don't flip the symbol.

First, you have to isolate the x, and so you divide by 4

However, because you are not dividing by a negative number, you will keep the sign the way it is

hope this helps :D

Hello Charlie!

The correct answer is option D

Divide both sides of the inequality by 4 but don't flip the symbol.

------------------------
Note: The only time you flip the symbol is when we divide by negative sign.

I hope this helps!

can someone help with my homework

Answers

Answer: seconds

-----------------------------------------------------------
-----------------------------------------------------------

With conversion fractions, the denominator unit is always what you want to cancel out. In this case, we want to cancel out "seconds" because we want to effectively replace "seconds" with "minutes" (which is what conversions are really). The numerator is the unit we want to convert to. Take care to note that sometimes you'll need multiple conversions, and sometimes it's not going to involve one conversion fraction only.

Have a look at the attached image to get a better sense of what is going on. Note the red slash marks to indicate cancellations.

Justin is going on a 2000 kilometer road trip with two friends. The car consumes 6 liters of gas for every 100 kilometers and gas costs $1.20 per liter. If Justin and his two friends want to spilt it evenly, how much should each pay and how many liters of gas do they need

Answers

2000 / 100 = 20

20 * 6 = 120 liters total gas

120 * 1.20 = $144 total for gas

144 / 3 = $48 each

The perimeter of a college athletic field is 104104 meters and the length is 1414 m more than the width. find the length and width.

Answers

The answer is 50,638.

In the year 2001, a total of 7.2 million passengers took a cruise vacation. The global cruise industry has been growing at 9% per year for the last decade. Assume that this growth rate continues.

How many cruise passengers (in millions) are predicted in the year 2002?

Answers

To find the number of passengers for the next year (2002), take the prior value (7.2 million) and multiply it by 1.09. This will give the predicted value for 2002. In this case, it would be (7,200,000 * 1.09 = 7.848 million). This would show that there is a predicted rise of 0.648 million passengers for the year 2002.

Final answer:

To predict the number of cruise passengers in 2002, multiply the growth rate by the previous year's number of passengers and add that to the previous year's total.

Explanation:

To predict the number of cruise passengers in the year 2002, we need to apply the growth rate of 9% to the number of passengers in the previous year (2001).

Therefore, the predicted number of cruise passengers in the year 2002 is

7.848 million

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A seamstress has one-fourth of a foot of thread. Then she uses one-fifth of a foot of thread to sew a hole. How much of the thread is left?

Answers

1/4 - 1/5 =
first make a common denominator
5/20 - 4/20 = 1/20

solve this equation
h(t)= -16t+175t+500

Answers

Use the quadratic formula where a = -16, b = 175 and c = 500 to find t. See picture for quadratic formula.

what is the cost of painting the walls and ceiling of a room with walls 30 foot by 25 foot by 1st foot with paint that covers at $9.50 per square yard, allowing for 1275 square feet for doors, windows, and baseboards?

Answers

what I can make out is, check the picture, that'd be the dimensions of the room.

therefore, the surface area of that room is

2 10x25 rectangles, front and back

2 30x10 rectangles, left and right

and 2 25x30 rectangles, top and bottom

so the area will be (2*10*25) + (2*30*10) + (2*25*30), which gives us 2600 square feet though, not yards.

let's add the doors, windows and others which is 1275, so 2600 + 1275, that gives us 3875 square feet.

now, the paint is 9.5 for square yard, no feet, so let's do some conversion then,

[tex]\bf \begin{array}{ll} yards&feet\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1yd&3ft\\ (1yd)^2&(3ft)^2\\ yd^2&3^2ft^2\\ &9ft^2 \end{array}[/tex]

so, if there are 9 square feet in one square yard, how many square yards are there in 3875 square feet?

[tex]\bf \begin{array}{ccll} yd^2&ft^2\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&9\\ x&3875 \end{array}\implies \cfrac{1}{x}=\cfrac{9}{3875}\implies \cfrac{3875}{9}=x[/tex]

that's how many yd² are there in 3875 ft².

now, we know for every yd², is $9.50, so then the cost will be

[tex]\bf 9.5\cdot \cfrac{3875}{9}\implies \cfrac{95}{10}\cdot \cfrac{3875}{9}\implies \cfrac{73625}{18}~~\approx~~ \stackrel{\$}{4090.2778}[/tex]

What is the reciprocal of 6 4/5?

A.) 5/34

B.) 29/5

C.) 34/5

D.) 15/5

Answers

Answer:

Step-by-step explanation:

The denominator in the original question is 5.

Therefore the answer must have 5 in the numerator. The answer can only be A.

6 4/5 = (30 + 4) / 5 = 34/5 This is the original fraction. The upside down of the original fraction is the reciprocal. Upside down of 34/5 is 5/34. You can come to this conclusion by doing this.

The formal definition of a reciprocal is 1/a where a is a fraction.

In this case a = 34/5. The reciprocal is 1/a = 1 // 34/5. You don't change anything by making it 1/1 // 34/5

1/1 // (34/5) Invert and multiply the bottom.

1/1 * 5/34 = 5/34

Write an equation of four lines that intersect to form the sides of a parallelogram

Answers

To write equations for four lines forming a parallelogram, we use the slope-intercept form ensuring two sets of parallel lines. Opposite lines have equal slopes and by manipulating the y-intercepts, we ensure they intersect appropriately to form a parallelogram.

Writing an equation for four lines that intersect to form the sides of a parallelogram involves ensuring that opposite sides are parallel and equal in length. One straightforward approach is to use the slope-intercept form of a line, y = mx + b, to define the lines.

Let's start by defining two lines with slopes 'm' and 'm' (since opposite sides of a parallelogram are parallel) and two lines with slopes '-1/m' to ensure they are also parallel to each other but perpendicular to the first set of lines. If we assume lines have y-intercepts at 'b' and '-b' respectively (to ensure symmetry and simplify calculations), our equations would be:

y = mx + b (Line 1)y = mx - b (Line 2) - Parallel to Line 1y = (-1/m)x + k (Line 3) - Perpendicular to Line 1y = (-1/m)x + l (Line 4) - Parallel to Line 3

Here, m represents the slope of the first set of parallel lines, b represents the y-intercept of line 1, -b represents the y-intercept of line 2, and k and l are the y-intercepts of lines 3 and 4. By adjusting 'b', 'k', and 'l' we ensure the lines intersect to form a parallelogram.

These lines will form a parallelogram as long as 'k' and 'l' are chosen such that the distances between the y-intercepts of lines 1 and 2, and lines 3 and 4, are equal, satisfying the condition for parallel lines in a parallelogram. This way, we can visually imagine or draw a parallelogram with these four lines as its sides.

the sum of 5 consecutive integers is 110. what is the fourth number in the sequence

Answers

Let's divide 110 by 5, that equals 22. That is our middle number. Now, we will use the 2 numbers below that (22.) and the 2 numbers above that.
20+21+22+23+24= 110.
So, the 4th number is 23.

Cereal costs $2.79 for 16.4 ounces. At this rate how much does 25 ounces of cereal cost?

Answers

425 sksbsjsnwksnaianueenjwneeidnsinw

Bottles of water sell for $1.50 each. Graph the relationship between the number of bottles of water sold and the total cost.

Answers

draw a graph with number of bottles on the x axis ( and number it 1 through 10 )

put price on the y axis and label it in increments of $1.50 ( 1.50, 3.00 , 4.50, 6.00, etc.

Then put dots on the intersection of price with the number of bottles and then draw a straight line through the dots.

for every 1 bottle of water sold the price increases by 1.50

so at x 1 y = 1.50

at x 2 y = 3.00

at x 3 y = 4.50

and so on

complete the calculation how to find partial products

1 2 4
× 2
----------

Answers

The first step is to write each factor in expanding notation.

This is:

- 124 = 100 + 20 + 4
- 2 = 2

Now muliply 2 times each term of the terms 100, 20 and 4

=> 2 * 100 = 200

2 * 20 = 40

2 * 4 = 8

Then,

    (100 + 20 + 4 )
x                     2
-----------------------
                       8
               40
                   200
------------------------
                   248

In Ms. Hendricks class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in simplest form.

Answers

The ratios is 10:12 and if you were to write it in a fraction you get 10/12 which is simplified as 5/6

The ratios is 10:12 and if you were to write it in a fraction you get 10/12 which is simplified as 5/6 hope this helped

Debbie's city took a survey about a plan for a new park. The city surveyed 600 people. 60% of the people surveyed liked the plan for the park. How many people liked the plan?

Answers

Hi there.

All we have to do to find out how many people like the plan is multiplication.

We multiply the total number of people by 60% - in decimal form.

600 · 0.6 = 360

360 people liked the plan.

The answer is 360 people liked the survey.

Hopefully that answer it

A dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month. Floss is sold 79 to a box, how many items does the dentist order each month

Answers

35 cause it tells you he buys 15 box (boxes as in items) and 20 boxes add them together is 35 items

complete question:

A dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month. Floss is sold 70 to a box and toothbrushes are sold 50 to a box . how many items does the dentist order each month.

Answer:

The dentist orders 1050 number of floss and 1000 number of toothbrushes. The items are 2 different items namely floss and toothbrushes.

Step-by-step explanation:

The dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month.

The floss is sold 70 to a box, this means about 70 numbers of floss occupies each box of floss. To get the total number of floss items in the 15 boxes of floss, we have to multiply the number of boxes of floss by the number of floss present in each box. Mathematically,

70 × 15 = 1050 items of floss

The boxes of toothbrushes is 20 . For each box the number of toothbrushes is 50 . To get the total number of tooth brushes we multiply the number of boxes by the total number of toothbrushes in each box.

50 × 20 = 1000 items of toothbrushes.

The dentist orders 1050 number of floss and 1000 number of toothbrushes. The items are 2 different items namely floss and toothbrushes.

Qual é a diferença entre a população de Toledo e Umuarama?
Toledo - 119 207
Umuarama - 100 716

Answers

E preciso subtrair.

119207
- 100716
----------------
18491

the value of a particular investment follows a pattern of exponential growth. in the year 2000 you invested money in a money market account. the value of your investment t years after 2000 is given by the exponential growth model A=2600e^0.052t. how much did u initially invest in the account? please show work

Answers

the 2600 is the constant so you initially invested $2600

Mikayla withdraws $20 on 4 different days during a week. Find the total change in her account balance after the withdrawals.

Answers

20 times 4 = 80

so the change in her account would be negative 80 dollars

The change in her account after 4 withdrawals of $20 the change in her account will be $(D - 80)

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given that Mikayla withdraws $20 on 4 different days during a week.

Assuming she had $D before she had made any withdrawals.

∴ The situation can be represented numerically as,

(D - 20 - 20 - 20 - 20) dollars.

= (D - 80) dollars.

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In a classroom of 32 students 14 are male. What percentage in the class is female

Answers

18 females.
18+14= 32

Well, if the classroom has 32 students in total and 14 of them are male, then that means that 18 are female, and 18 percent of 32 is 56.25%, so that would be 56% of the students in the classroom are female. Hope that helped! :D

solve this system of linear equations. separate the x- and y- values with a coma. -x=29-14y
-9x=-19+14y

Answers

We are given the two equations:

(1) -x=29-14y
(2) -9x=-19+14y

Multiply (1) by 9:

-9x = 261 – 126y

Subtract the two equations:

-9x = 261 – 126y

-9x=-19 + 14y

0 = 280 – 140y

140y = 280

y = 2

From (1):

-x = 29 – 14 (2)

x = -1

Answers:

x = -1

y = 2

Miki has a sheet of paper with a length of 104 centimeters and a width of 88 centimeters. She wants to divide it into the largest squares possible without wasting any paper. How many squares of the largest size will she be able to cut from the paper? 13 squares, 26 squares, 143 squares, or 572 squares

Answers

First, find the area of the rectangular paper: 104 × 88 = 9152 cm²

Since we want to find the number of the largest square that we can cut from the paper, we need to investigate if there's any square number is the factor of 9152

We can use the prime factor tree to find the factors of 9152 that is also a square number as shown below

9152 = 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13

after trying few combinations, we have:
2 × 2 × 2 × 2 = 16
2 × 2 × 2 × 2 × 2 × 2 = 64

The largest square number is 64, and we will have 9152 ÷ 64 = 143 squares of papers

Chad has 6 fewer sandwiches than Sarah.chad had 7 sandwiches. how many sandwiches did Sarah made?

Answers

Sarah made 1 sandwiches

Sarah made total 13 sandwiches.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations.

Given that,

The number of sandwiches chad have = 7

Also, Chad has 6 fewer sandwiches than Sarah,

Let the number of sandwiches Sarah have = x,

According to condition,

Sarah has 6 more sandwiches than Chad,

⇒x = 7 + 6

⇒x = 13

The number of sandwiches that Sarah made is 13.

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Two of the sides of an isosceles triangle have lengths of 10 cm and 4 cm. what is the length of the base?

Answers

40 because you get the 10 and the 4 and multiply it together

An isosceles triangle is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure.

The unequal side is the base of the triangle.

The length of the base of the isosceles triangle is

10 cm or 4 cm.

What is an isosceles triangle?

An isosceles triangle is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure.

The unequal side is the base of the triangle.

We have,

Two sides of an isosceles triangle have lengths:

= 10 cm and 4 cm

The unequal side of the isosceles triangle is the base and the other two sides have to be equal.

We can have two cases-

Case 1.

If the equal two sides are 10 cm.

Base = 4 cm

Case 2.

If the equal two sides are 4 cm.

Base = 10 cm.

Thus the length of the base of the isosceles triangle is

10 cm or 4 cm.

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A hot air balloon rising vertically is tracked by an observer located 3 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is π/3 , and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment?

Answers

check the picture below.

notice, the "x" distance, whilst the balloons are moving up up and up, is not changing, thus, is a constant.

[tex]\bf tan(\theta )=\cfrac{y}{x}\implies tan(\theta )=\cfrac{y}{3}\implies tan(\theta )=\cfrac{1}{3}y \\\\\\ \stackrel{chain~rule}{sec^2(\theta )\cfrac{d\theta }{dt}}=\cfrac{1}{3}\cdot \cfrac{dy}{dt}\implies \cfrac{1}{cos^2(\theta )}\cdot \cfrac{d\theta }{dt}=\cfrac{1}{3}\cdot \cfrac{dy}{dt}[/tex]

[tex]\bf \cfrac{3\cdot \frac{d\theta }{dt}}{cos^2(\theta )}=\cfrac{dy}{dt}\quad \begin{cases} \frac{d\theta }{dt}=0.1\\\\ \theta =\frac{\pi }{3} \end{cases}\implies \cfrac{3\cdot 0.1}{cos^2\left( \frac{\pi }{3} \right)}=\cfrac{dy}{dt}\implies \cfrac{0.3}{\left( \frac{1}{2} \right)^2}=\cfrac{dy}{dt} \\\\\\ \cfrac{0.3}{\frac{1}{4}}=\cfrac{dy}{dt}\implies \stackrel{rad/min}{1.2}=\cfrac{dy}{dt}[/tex]

The observer and the balloon form a right triangle (see attachment).

The balloon is rising at 1.2 rad per min

Using tangent rule, we have:

[tex]\mathbf{tan(\theta) = \frac{y}{x}}[/tex]

Substitute 3 for x

[tex]\mathbf{tan(\theta) = \frac{y}{3}}[/tex]

Differentiate both sides with respect to time (t)

[tex]\mathbf{sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{3} \cdot \frac{dy}{dt}}[/tex]

Make dy/dt, the subject

[tex]\mathbf{\frac{dy}{dt} = 3 \cdot sec^2(\theta) \cdot \frac{d\theta}{dt} }[/tex]

Substitute [tex]\mathbf{\theta = \frac{\pi}{3}\ and\ \frac{d\theta}{dt} = 0.1}[/tex]

So, we have:

[tex]\mathbf{\frac{dy}{dt} = 3 \cdot sec^2(\pi/3) \cdot 0.1 }[/tex]

Using a calculator, we have:

[tex]\mathbf{\frac{dy}{dt} = 3 \cdot 2^2 \cdot 0.1 }[/tex]

Multiply

[tex]\mathbf{\frac{dy}{dt} = 1.2}[/tex]

Hence, the balloon is rising at 1.2 rad per min

Answers

1 year = 52 weeks

52 * 5 = 260 loads

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