Name the values represented by the box plot.

Lower quartile:

Upper quartile:

Median:
​

Answer: 0.71

Step-by-step explanation:

we have that cos(A) = 12/13

then:

A = Acos(12/13) = 22.62°

But A is in the fourth quadrant, so A is actually 22.62° + 180° = 202.62°

Then Sin(2A) = sin(2*202.62°) = 0.71

Answer:

In 4 years = $1,893.72

In 16 years = $3,810.53

years to contain $2,000 = 4.9371454128

years to contain $2,500 = 8.766692911

Step-by-step explanation:

In 4 years

A = 1,500 (1 + 0.06)^4

  = $1,893.72

In 16 years

A = 1,500 (1 + 0.06)^16

   = $3, 810.53

to find number of years

t = ln (A/P) / ln (1+r)

when A = 2,000

t = ln(2,000/1,500) / ln(1+0.06)

 = 4.9371454128 years

when A = 2,500

t = ln(2,500/1,500) / ln(1+0.06)

 = 8.766692911 years

PS: You can also use log in place of ln

The number of years it will take for the account to contain $2000 is 4.94 years while it will take 8.77 years to contain $2500.

Let:

PV = Present value = $1,500

r = Interest rate = 6%, or 0.06

n = number of years

FVn = Future value after a certain number of years

Therefore, we have:

The amount that will be in the account in four years can be calculated using the future value (FV) formula as follows:

FV4 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^4 = $1,893.72

Therefore, the amount that will be in the account in four years is $1,893.72.

The amount that will be in the account after 16 years can also be calculated using the future value (FV) formula as follows:

FV16 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^16 = $3,810.53

Therefore, the amount that will be in the account after 16 years is $3,810.53.

The number of years will it take for the account to contain $2000 can be calculated using the following formula:

n = (log(FV/PV)) / (log(1+r)) = (log($2,000/$1,500)) / (log(1+0.06)) = 0.1249387366083 / 0.0253058652647703 = 4.94 years

Therefore, the number of years it will take for the account to contain $2000 is 4.94 years.

The number of years it will take for the account to contain $2500 can be calculated using the following formula:

n = (log(FV/PV)) / (log(1+r)) = (log($2,500/$1,500)) / (log(1+0.06)) = 0.221848749616356 / 0.0253058652647703 = 8.77 years

Therefore, the number of years it will take for the account to contain $2000 is 8.77 years.

Learn more about future value here: https://brainly.com/question/13504821.

#SPJ2

Answer:

48

Step-by-step explanation:

240/5 = 48

Answer:

48 push ups in 1 minute

Step-by-step explanation:

We can use a ratio to solve

240 pushups

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

5 minutes

Divide each by 5

48 pushups

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

1 minutes

[tex]\frac{2}{3}[/tex]

[tex]\frac{4}{6}[/tex]

[tex]\frac{12}{18}[/tex]

[tex]\frac{14}{21}[/tex]

I hope this helps :)

Answer:

2/3= 4/6= 12/18= 14/21

Step-by-step explanation:

2/3= __/6

you know that that denominator doubles because 3*2=6, so what you do to the denominator you have to do to the numerator and vice versa. 2*2= 4 so the answer would be 4/6

To find 12/__

You should know that everything is equal to 2/3 in this equation. To get from 2 to 12 you need to multiply by 6. what you do to the top you have to do to the bottom. 3*6=18

_/21

You times 2/3 by 7 because 3*7=21.

2*7=14

Answer:

3

Step-by-step explanation:

To find the IQR, use this formula:

Quartile 3 – Quartile 1

this will get you the IQR of a box and whisker plot :)

(pls mark brainliest)

Answer:

529 units squared

Step-by-step explanation:

Answer:

Step-by-step explanation:

4^3 * 4^4 = 4^(3+4) = 4^7

4^7/4^9 = 4^(7-9)

= 4^-2 = 1/4^2

Answer: The Median because the distribution is skewed to the right

Step-by-step explanation:

the answer is V≈254.47

Answer:

Car 1 and Car 4

Step-by-step explanation:

Car 1-70mph

Car 2-60mph

Car 3-64mph

Car 4-70mph

So, its Car 1 and Car4

Answer:

Vince began practicing piano at 11:15 P.M

He stopped at 11:35 P.M

=> He practiced in 35 - 15 = 20 mins = 1/3 hour.

=> 1/3 hour means 1/3 circle, the number of degrees the minute hand turned:

N = (1/3) x 360 = 120 deg (1 circle = 360 deg)

Hope this helps!

:)

Answer:

Slope: 2

Y-intercept: (0,-7)

Step-by-step explanation:

2(x-3)=y+1

distribute the 2 through the parentheses

2x-6=y+1

2x+6=0+1

(change the y to 0)

2x-6=1

add 6 to both sides(+6 cancels out -6)

2x=1+6

divide both sides by 2

x=7/2 or x=3.5

hope this helps!

Answer:

C  F

Step-by-step explanation:

Answer:

2/10 is equivalent to 1:5

6:30 is equivalent to 1:5

8 to 40 is equivalent to 1:5

Step-by-step explanation:

Answer:

stem and leaf plot

Step-by-step explanation:

:) trust

Answer:

3x + 7y = −17

4x − 7y = 10

Add up both sides of 2 equations, then

7x = -7

=> x = 1

=> y =(3 x 1 - 17)/7 = -14/7 = -2

Hope this helps!

:)

Answer:

The probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498

Step-by-step explanation:

We are given that Scores on a math placement exam at UGA are normally distributed with a mean of 76 and a standard deviation of 6.

Mean = [tex]\mu = 76[/tex]

Standard deviation =[tex]\sigma = 6[/tex]

we are supposed to find the probability that an incoming freshman scores between 61.6 and 80.2 i.e. P(61.6<x<80.2)

Formula : [tex]Z=\frac{x-\mu}{\sigma}[/tex]

At x = 61.6

So,[tex]Z=\frac{61.6-76}{6}[/tex]

Z=-2.4

Refer the z table for p value

So,p value =0.0082

At x = 80.2

So,[tex]Z=\frac{80.2-76}{6}[/tex]

Z=0.7

Refer the z table for p value

So,p value =0.7580

P(61.6<x<80.2)=P(x<80.2)-P(x<61.6)=0.7580-0.0082=0.7498

Hence the probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498

Answer:190

Step-by-step explanation:

If there are 950 classes over a year and 5 classes then there are 190 classes per class because 950/5=190

Answer:

Option (2).It has a vertical translation by 2 units in the positive direction.

Step-by-step explanation:

Given question is not complete: find the  complete question with attachment

Errol's bike ride can be modeled by the equation,

[tex]d(t)=-\frac{1}{4}t+2[/tex]

Slope of the given equation = [tex]-\frac{1}{4}[/tex] which shows the rate of change of distance from Errol's house

Y-intercept = 2, shows the distance of the school from Errol's house

Let the equation that represents the distance of Daniel's home from the school is,

y = mt + b

Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.

Since y-intercept 'b' represents the distance from his home, b = 4

Now the equation will be,

[tex]d(t)=-\frac{1}{4}t+4[/tex]

Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.

Answer:

209

Step-by-step explanation:

The volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.

Volume of a cone = 1/3πr²h

Where, r = radius of the cone, and h = height of the cone.

Given:

Thus:

Volume of a cone = 1/3(3.14)(5²)(8)

Volume of a cone = 209 mm³

Thus, the volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.

Learn more about volume of cone on:

https://brainly.com/question/14278632

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

c.-1.9

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Answer:

So, the first one is not proportional and therefore has no multiplier.

You are right on the second on both counts!

Step-by-step explanation:

You just need to divide the x's by the y's (individually) in order to determine what they are multiplied by. And the answers you get for the first one will be 5, 6, and 7. Because the numbers are different, they are not proportional.

Answer:

x = -1/24 = -0.042

Step-by-step explanation:

Step  1  :   Simplify  3/8

Step  2 :

Rewriting the whole as an Equivalent Fraction

Step  3  :

Calculating the Least Common Multiple

Equation at the end of step  3  :

 24x + 1

 ———————  = 0  

    8  

Last step:

Solving a Single Variable Equation :

5.2      Solve  :    24x+1 = 0  

Subtract  1  from both sides of the equation :  

                     24x = -1

Divide both sides of the equation by 24:

                    x = -1/24 = -0.042

Hope this helps.

Answer:

2/15

Step-by-step explanation:

1/3 × 2/5 = 2/15

Answer:

Yes because 3x5 is 15

Step-by-step explanation:

Answer:

(A) The number of degrees between 0 and -5 C

Step-by-step explanation:

Hi! It is not 1-5 is is the absolute value of -5. This would be 5 which is the number of degrees between 0 and -5.

Answer:

An inequality can have more than one solution. The set of all solutions of an inequality is called the solution set. The symbol ≥/ means “is not greater than or equal to.”

Step-by-step explanation:

Fraction Decimal Percent

2/3         0.666… 66.666…%

1/4         0.25 25%

3/4         0.75 75%

1/5         0.2         20%

Answer:

Let's denote:

P(discount on 15 holidays) = P(A) = 0.87

P(discount on 100 weekends) = P(B) = 0.38

P(discount on 250 weekdays) = P(C) = 0.17

=> The probability of a discount of more than 10% for the randomly chosen day: P = P(A) x 15/360 + P(B) x 100/360 + P(C) x 250/360

          = 0.87 x 15/360 + 0.38 x 100/360 + 0.17 x 250/360

          = 0.26

Given she bought a machine with a discount of more than 10%, the probability that it was a weekend would be:

P  = 100/(100 + 250 + 15) = 0.27

Hope this helps!

:)

Answer:

1. 0.256

2. 0.406

Step-by-step explanation:

Total days:

15 + 100 + 250 = 365

P(more than 10% discount)

= (0.87×15/365) + (0.38×100/365) +(0.18×250/365)

= 1871/7300

0.2563013699

P(weekend/more than 10% discount)

= (0.38×100/365) ÷ (1871/7300)

= 760/1871

0.4061998931

Answer:

128 tons can be processed in 8 hours.

Step-by-step explanation:

48 divided by 3 = 16 (to see how much tons are produced in 1 hr.)

16 x 8

  =128

Answer:

128 tons in 8 hours

Step-by-step explanation:

do 48 divided by 3 = 16      

to see how much tons get produced in an hr.

then when you do 16x8 which is 128