# 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

QUESTION POSTED 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

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

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.

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

The correct answer is $6000.00

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

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

**Answer:**

**Option b is correct**

**Step-by-step explanation:**

**Given** the polynomial

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 **

Here

Factors of 10=1, 2, 5, 10

Factors of 2=1, 2

**Possible rational roots are**

**Option b is correct**

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

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

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.

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

195

45 x 1= 45

45 x 9= 405

45 x 5= 225

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

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

0.45 * 10000 = 4500

0.45 * 10000 = 4500

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

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

Μ = 64

σ = 3.5

a)

μ - 3σ = 53.5

μ - 2σ = 57.0

μ - σ = 60.5

μ = 64.0

μ + σ = 67.5

μ + 2σ = 71.0

μ + 3σ = 74.5

b)

(71 - 64)/3.5 = 2.0

z = 0.9772

n = 3000*(1 - 0.9772)

≈ 68

Hope this helps!

σ = 3.5

a)

μ - 3σ = 53.5

μ - 2σ = 57.0

μ - σ = 60.5

μ = 64.0

μ + σ = 67.5

μ + 2σ = 71.0

μ + 3σ = 74.5

b)

(71 - 64)/3.5 = 2.0

z = 0.9772

n = 3000*(1 - 0.9772)

≈ 68

Hope this helps!

ANSWERED AT 16/02/2020 - 06:10 PM

QUESTION POSTED AT 16/02/2020 - 06:10 PM

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

Let

y------> one number

x-----> another number

we know that

------> equation A

------> equation B

substitute equation A in equation B

Find the value of y

the numbers are and

therefore

__the answer is the option B__

** and **

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

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

2. n = 8 (Identity property)

3. n = 0 (Zero Property)

4. n = 22 (Additive Identity Property)

5. n = 4 (Fractal 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

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.

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

3 log 3 ^21

= 21 x 3 Log 3

= 21 x 1

= 21

Hope this helps

= 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

If the person at the back saw two black hats, he would immediately know that he wore a white hat. He does not, so the two front hats are either black and white, or both white. The second person would know this fact! If they saw a black hat in front of them, then they would know that their hat is white. Since they do not, the hat at the front must be white. The guy at the front realises all this, and knows that his hat is white.

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

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

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

**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 =

**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 =

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,

**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

The answer is 400 < or = 4x + 75.

ANSWERED AT 16/02/2020 - 05:09 PM

QUESTION POSTED AT 16/02/2020 - 05:09 PM

Highway is 140 and the city is 100 the highway is 40 more then the city

ANSWERED AT 16/02/2020 - 04:53 PM

QUESTION POSTED AT 16/02/2020 - 04:53 PM

**Answer:**

That would be D

**Step-by-step explanation:**

ANSWERED AT 16/02/2020 - 04:47 PM

QUESTION POSTED AT 16/02/2020 - 04:47 PM

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.

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

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

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

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

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

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

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

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

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

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

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

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**

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:

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

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

**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

A(n)=47+(n - 1)(-15)

ANSWERED AT 16/02/2020 - 03:51 PM

QUESTION POSTED AT 16/02/2020 - 03:51 PM

F(x)+g(x)=3x-3

(f+g)(3)=3×3-3=9

(f+g)(3)=3×3-3=9

ANSWERED AT 16/02/2020 - 03:42 PM

QUESTION POSTED AT 16/02/2020 - 03:42 PM

**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

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

Jane wrote:

Inequality 1:

Inequality 2:

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

Answer

t = 10•30 – 20

hope that helps

t = 10•30 – 20

hope that helps

ANSWERED AT 16/02/2020 - 03:37 PM

QUESTION POSTED AT 16/02/2020 - 03:37 PM