The data represent the ages of people working at a store. 20, 30, 22, 29, 24, 27, 33, 25, 21, 19, 23 What is the first quartile of these ages? A. 19 B. 29 C. 21 D. 20

QUESTION POSTED AT 18/01/2020 - 06:32 AM

Answered by admin AT 18/01/2020 - 06:32 AM

First, arrange the data from lowest to highest
19, 20, 21, 22, 23, 24, 25, 27, 29, 30, 33

Next, find the media or the middle data.
The median is 24.
19, 20, 21, 22, 23, 24 (median), 25, 27, 29, 30, 33

Lastly, look at the data below the median and find the middle of those data. If it's between two numbers, choose the lower number. That's the first quartile.
The first quartile is 21.
19, 20, 21(Q1), 22, 23, 24 (median), 25, 27, 29, 30, 33
Post your answer

Related questions

14.A company employee has to print 3145 pages, and the company's printer prints 85 pages per minute. The function f(x)=−85x+3145f(x)=−85x+3145 represents the number of unprinted pages x minutes after the printing begins. What is the practical domain of function f? all whole numbers from 0 to 37 all real numbers from 0 to 37 all real numbers from 0 to 3145 all multiples of 85 between 0 and 3145

F(x) = -85x + 3145...the domain is going to be the x value while the range is the f(x) value.

answer is going to be all whole numbers from 0 to 37

notice if u sub in 37 for x.....
f(37) = -85(37) + 3145
f(37) = - 3145 + 3145
f(37) = 0...that means after 37 minutes, there are no un-printed pages...all the pages have been printed. So ur answer would be greater then 0, but less then or equal to 37.....and they have to be whole numbers.....they cant be all real number because that includes irrational numbers.

ANSWERED AT 16/02/2020 - 07:04 PM


QUESTION POSTED AT 16/02/2020 - 07:04 PM

Bill's Furrier marks up mink coats $3,000. This represents a 50% markup on cost. What is the cost of the coats? ...?

The correct answer is $6000.00

ANSWERED AT 16/02/2020 - 06:42 PM


QUESTION POSTED AT 16/02/2020 - 06:42 PM

Which of the following represents the set of possible rational roots for the polynomial shown below? 2x³+5x²-8x-10=0 a. {±2/5, ±1/2, ±1, ±2, ±2/5, ±1/5, ±1/10} b. {±1/2, ±1, ±2, ±5/2, ±5, ±10} c. {±1, ±2, ±4, ±5, ±10, ±20} d. {1/2, 1, 2, 5/2, 4, 5, 10, 20} ...?

Answer:

Option b is correct

Step-by-step explanation:

Given the polynomial

2x^3+5x^2-8x-10=0

we have to find the set of possible rational roots for the polynomial.

Rational root theorem states that if P(x)  has any rational roots then they must be of form

\pm{\frac{\text{Factor of }a_0}{\text{factors of }a_n}

Here P(x)=2x^3+5x^2-8x-10

Factors of 10=1, 2, 5, 10

Factors of 2=1, 2

Possible rational roots are

\{\pm1, \pm\frac{1}{2}, \pm2, \pm\frac{5}{1}, \pm\frac{5}{2}, \pm 10\}

Option b is correct

ANSWERED AT 16/02/2020 - 06:41 PM


QUESTION POSTED AT 16/02/2020 - 06:41 PM

Solve. x2 + 6x = 10 -3 ± sqrt 10 -3 ± sqrt 7 -3 ± sqrt 19 -3 ± sqrt 13 ...?

We can solve the given equation above by doing the completing the square method. We do as follows:

x^2 + 6x = 10
x^2 + 6x + 9 = 10 +9
(x+3)^2 = 19
√(x+3)^2 = √19
x + 3 = √19

Therefore, the correct answer from the choices listed above is the third option, -3 ± sqrt 19. Hope this answers the question. Have a nice day.

ANSWERED AT 16/02/2020 - 06:40 PM


QUESTION POSTED AT 16/02/2020 - 06:40 PM

How to divide 8775÷45 And show your work

195

45 x 1= 45
45 x 9= 405
45 x 5= 225

ANSWERED AT 16/02/2020 - 06:32 PM


QUESTION POSTED AT 16/02/2020 - 06:32 PM

A store has a contest to guess the mass of 10,000 peanuts if a peanut has a mass of about 0.45 g what would be a reasonable guess with a mass of 10,000 peanuts

You can just multiply the 0.45 grams by 10,000. Just keep moving to decimal to the right.

0.45 * 10000 = 4500

ANSWERED AT 16/02/2020 - 06:14 PM


QUESTION POSTED AT 16/02/2020 - 06:14 PM

Find two numbers whose sum is 30, and whose difference is 26

Yea umm Im not sure but 2, 28?

ANSWERED AT 16/02/2020 - 06:02 PM


QUESTION POSTED AT 16/02/2020 - 06:02 PM

One number is 3 less than twice another. If their sum is 39, find the numbers. Which of the following systems of equations represents the word problem? A.y = 2x - 3 and y = x + 39 B.y = 2x - 3 and x + y = 39 C.y = 2(x - 3) and x + y = 39 ...?

Let

y------> one number

x-----> another number

we know that

y=2x-3 ------> equation A

x+y=39 ------> equation B

substitute equation A in equation B

x+[2x-3]=39

3x=39+3

x=42/3=14

Find the value of y

y=2*14-3=25

the numbers are 25 and 14

therefore

the answer is the option B

y=2x-3 and x+y=39

ANSWERED AT 16/02/2020 - 05:32 PM


QUESTION POSTED AT 16/02/2020 - 05:32 PM

name the property used in each equation. then find the value of n. 2.) 1·n=8 3.) 28·n=0 4.) 0+n=22 5.) 1/4·n=1

2. n = 8 (Identity property)
3. n = 0 (Zero Property)
4. n = 22 (Additive Identity Property)
5. n = 4 (Fractal property)

ANSWERED AT 16/02/2020 - 05:29 PM


QUESTION POSTED AT 16/02/2020 - 05:29 PM

at her job, mary works 4 hours on monday, 3 hours on wednesday, and 6 hours on saturday. her boss adds a $10 bonus to her paycheck, which then totals $120.50. what is mary's hourly pay? a. $8.50 b. $9.27 c. $5.24 d. $8.05

She worked 4+3+6 hours = 13 hoursso 13x+10 = 120.50
13x=110.50
x=8.5
so she makes $8.50 an hour which is A.

ANSWERED AT 16/02/2020 - 05:29 PM


QUESTION POSTED AT 16/02/2020 - 05:29 PM

Evaluate 3log3^21 ...?

3 log 3 ^21

= 21 x  3 Log 3

= 21 x 1

= 21

Hope this helps



ANSWERED AT 16/02/2020 - 05:28 PM


QUESTION POSTED AT 16/02/2020 - 05:28 PM

When working with the square root of a number, when would you have only a positive answer and when would you have both a positive and negative answer?

Lets make it clear: You would have a positive answer when the value you are looking for has to be a positive number. On the other hand you would have a positive and a negative answer when you take the square root of something that doesn't have to be positive. it could be either because when a negative number is squared it becomes positive and when a positive number is squared it stays positive as well.

ANSWERED AT 16/02/2020 - 05:24 PM


QUESTION POSTED AT 16/02/2020 - 05:24 PM

Suzanne is going to rent a car while she is out of town. One car rental company offers a flat rate of $35 per day plus $0.10 per mile. Another car rental company offers the same car for $25 per day plus $0.25 per mile. She will need the car for 5 days. How many miles would she need to drive for the first rental company to be a better deal?

Answer:

She need to drive more than 2000 miles for the first rental company to be a better deal .

Step-by-step explanation:

Case 1) One car rental company offers a flat rate of $35 per day plus $0.10 per mile

Let m be the no. of miles

She will need the car for 5 days.

So, total cost = 35 \times 5 +0.10m=175+0.10m

Case 2)  Another car rental company offers the same car for $25 per day plus $0.25 per mile.

Let m be the no. of miles

She will need the car for 5 days.

So, total cost = 25 \times 5 +0.25m=125
+0.25m

Now we are supposed to find How many miles would she need to drive for the first rental company to be a better deal?

So, 175+0.10m <125&#10;+0.25m

175+125 <125&#10;+0.25m-0.10m

300 < 0.15m

\frac{300}{0.15} < m

2000 < m

So, she need to drive more than 2000 miles for the first rental company to be a better deal

ANSWERED AT 16/02/2020 - 05:24 PM


QUESTION POSTED AT 16/02/2020 - 05:24 PM

Work out the equation of this graph (picture included)

First, you have to identify what the graph is: a parabola, a circle, an ellipses, etc. it's a parabola.

to be totally honest, i don't know what the (1, 0) point is for. i thought it was meant to be the vertex, but it doesn't make sense? you find the vertex by calculating the midpoint, if nothing else, and the midpoint here is 0.5 ?? but i chose to disregard it and assume it to be a misprint

the graph gives you the x-intercepts, which are your "zeroes" -- this means that you can format them like so:

y = (x + 3)(x - 4)

this will give you your equation. you just have to list the zeroes as factors, then foil them to get a ax² + bx + c formula:

y = x² - x - 12

however, we generally prefer parabolas to be in vertex form. you can get it there by completing the square:

y = x² - x - 12
move the 12 so that it's with the y
y + 12 = x² - x

now you have to complete the square. this is done by taking your "middle" term on the right side, dividing it by 2, and squaring it:

(-1)/2 = -0.5
(-0.5)^2 = 0.25 or (1/4)

i'm going to write it as a decimal because it's easier to follow. when completing the square, whatever you add to one side, you must add to the other, so:

y + 12 + (0.25) = x² - x + (0.25)
then change the right side of the equation into a squared binomial
y + 12.25 = (x - 0.5)²
subtract 12.25 from each side
y = (x - 0.5)² - 12.25

y = (x - 0.5)² - 12.25 is your formula. 

ANSWERED AT 16/02/2020 - 04:26 PM


QUESTION POSTED AT 16/02/2020 - 04:26 PM

A chemistry student needs to make 60 liters of a 30% alcohol solution. He has a 20% alcohol solution and a 40% alcohol solution in the lab. How many liters of each strength does he need to mix together *The system of equations I did was: a+b=60 & .2a+.4b=18. I may be wrong but i seriously need help

Hi i am sorry i am not sure what to do here i mainly answer questions in biology and maths so if u have any questions related to that subject u can ask me but chemsitry i am not really good at sorry xx

ANSWERED AT 16/02/2020 - 04:20 PM


QUESTION POSTED AT 16/02/2020 - 04:20 PM

If anyone can check my work for me that would be greatly appreciated I'm having trouble. Evaluate the expression foe the given value of the variable. |-4b-8|+|-1-b^2|+2b^3 ; b=-2 I got 1 for my answer -4(-2)-8-1+2^2+2(-2) 8-8-1+2^2-4 -1+2^2-4 1

The answer is -13. Solution: = |-4b - 8| + |-1 - b^2| + 2b^3 = |-4(-2) - 8| + |-1 - -2^2| + 2(-2)^3 = |8-8| + |-1+4| + 2(-8) = |0| + |3| + (-16) = -13

ANSWERED AT 16/02/2020 - 04:17 PM


QUESTION POSTED AT 16/02/2020 - 04:17 PM

Diane has $1.85 in dimes and nickels. She has a total of 24 coins. How many of each kind does she have? how many nickles? how many dimes?

Let the nickels be x and the dimes be y
 x + y = 24
 5x + 10y = 185
 5x + 5y = 120
 5y = 65
 y=13
 x=11
 Answer: 11 nickels and 5 dimes

ANSWERED AT 16/02/2020 - 04:10 PM


QUESTION POSTED AT 16/02/2020 - 04:10 PM

find a ratio equivalent to each ratio ` then use the ratios to write a proportion * 1) 22 / 30 2) 7 / 9 3) 18 / 54 4) 10 / 17

22/30 = 11/15
7/9 = 14/18
18/54 = 1/3
10/17 = 20/34

A proportion can be set up by using the general formula:
a/b = c/d
ad = bc

ANSWERED AT 16/02/2020 - 04:10 PM


QUESTION POSTED AT 16/02/2020 - 04:10 PM

Write the equation of the circle with center (-11, 3) and radius r = 9. Use the ^ key for the exponents. Write your answer as the example: (x - 4)^2+(y+8)^2=25

The equation of a circle with center (a, b) and radius = r is given by (x - a)^2 + (x - b)^2 = r^2
If center is (-11, 3) and radius is 9, then equation is
(x - (-11))^2 + (y - 3)^2 = 9^2
(x + 11)^2 + (y - 3)^2 = 81

ANSWERED AT 16/02/2020 - 04:09 PM


QUESTION POSTED AT 16/02/2020 - 04:09 PM

Two similar prisms have heights 4 cm and 10 cm. What is the ratio of their surface areas? A) 2:5 B) 4:25 C) 4:10 D) 8:125

H 1 : H 2 = 4 : 10
H 1 = 2/5 H 2
and also for the base: L 1 = 2/5 L 2 and W 1 = 2/5 L 2
 A 1 = 2 L 1 x W 1 + 2 L 1 x H 1 + 2 W 1 x H 1
A 2 = 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 x H 2
A 1 / A 2 = 4/25 *( 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 H 2 ) /
                 / ( 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 x H  2 ) =
= 4/5
A 1 : A 2 = 4 : 25
Answer:  B ) 4 : 25

ANSWERED AT 16/02/2020 - 04:08 PM


QUESTION POSTED AT 16/02/2020 - 04:08 PM

Steven cuts a 25-foot board into 2 pieces. One piece is 4 feet more than 2 times the length of the second piece. What is the length of the second, shorter, piece of the board?

Answer:

The length of the shorter piece of the board is 7 ft.

Step-by-step explanation:

Given,

The 25-foot board into 2 pieces.

Let x be the length of one piece,

So, the length of the other piece = ( 25 - x ) feet,

Now, according to the question,

25 - x = 2x + 4

-x - 2x = 4 - 25

-3x = - 21

x = 7

Hence, the length of two pieces are 7 feet and 18 feet,

In which 7 feet is the length of shorter piece.

ANSWERED AT 16/02/2020 - 04:02 PM


QUESTION POSTED AT 16/02/2020 - 04:02 PM

Kyle asks his friend Jane to guess his age and his grandmother’s age. Kyle says his grandmother is not more than 80 years old. He says his grandmother’s age is, at most, 3 years less than 3 times his own age. Jane writes this system of inequalities to represent k, Kyle’s age, and g, Kyle’s grandmother’s age. Inequality 1: g > 80 Inequality 2: g ≤ 3k – 3 Which inequality did Jane write incorrectly, and how could it be corrected? Inequality 1 is incorrect; it should be g ≤ 80. Inequality 1 is incorrect; it should be g ≥ 80. Inequality 2 is incorrect; it should be g < 3k – 3. Inequality 2 is incorrect; it should be g ≥ 3k – 3.

Answer:

The correct option is :

Inequality 1 is incorrect; it should be g ≤ 80.

Step-by-step explanation:

Let Kyle's age be = k

Let the grandmother's age be = g

Kyle says his grandmother is not more than 80 years old. This means g\leq 80

He says his grandmother’s age is, at most, 3 years less than 3 times his own age. This means g\leq 3k-3

Jane wrote:

Inequality 1: g>80

Inequality 2: g\leq 3k- 3

Jane wrote the 1st inequality wrong. As she has shown that the grandmother's age is greater than 80, which is not.

So, the correct option is :

Inequality 1 is incorrect; it should be g ≤ 80.

ANSWERED AT 16/02/2020 - 03:41 PM


QUESTION POSTED AT 16/02/2020 - 03:41 PM