Create a data list of six values where the mean, median, and mode are 45, and only two of the values are the same

Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1

Tcecarenko [31]

Answer:

$\dfrac{6750}{7}$

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make $\dfrac{x}{10}$ flowers in an hour. If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make $\dfrac{x}{15}$ flowers in an hour.

The groups decided to work together. They can make $\dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6}$ together in an hour and it takes them $\dfrac{x}{\frac{x}{6}}=6$ hours. Group B took a break for 1 hour and 40 minutes ( $1\dfrac{2}{3}$ hour), then Group B works

$6-1\dfrac{2}{3}=4\dfrac{1}{3}$ hours.

Thus,

$\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.$

6 0

3 years ago

What is the unit rate that converts gallons to quarts?

BigorU [14]

Volume units quarts to gallons (fluid and dry) conversion factor is 0.25 (quart is 1/4 of an gallon). To find out how many gallons in quarts, multiply by the factor, or simply use the converter below. 1 Quart = 0.25 (1/4) Gallon [US, UK, Fluid or Dry] Quart and gallon are imperial and US customary volume measurement units. In US customary system, both units have different volume capacity for dry and fluid measurements but in imperial (UK), the volume is the same for both fluid and dry measurement.

8 0

3 years ago

Read 2 more answers

At a graduation ceremony, some students earned bachelors in science degrees, some earned bachelors in arts degrees, and some stu

dedylja [7]

Answer:80students

Step-by-step explanation:

Using set notation concept,

n(U) be the total number of student = 200

n(AnS') be those that earned Bachelor in Art only= 120

n(A'nS) be those that earned Bachelor in Science only= 40

n(AnS) be students that earned both degrees.

Using the formulae below to calculate n(AnS) first;

n(AuS)=n(A'nS)+ n(AnS)+n(AnS')

200=40+n(AnS)+120

200=160+n(AnS)

n(AnS)=40

This shows that 40students earned bachelor in both degrees

Those that earned Bachelor in science degree will then be n(A'nS)+n(AnS) i.e 40+40 =80students.

NB: A' means complement of A(A not included)

'n' denote intersection and 'u' denote union.

7 0

4 years ago

Mrs. Jones decided to buy some pencils for her class. She bought 5 packages of pencils, and each package contained 42 pencils. T

Elena L [17]

Each student would get 15pencils

6 0

3 years ago

Given V = 2πr2h, solve for h

Ipatiy [6.2K]

V=2*pi*r*2*h
V=(4*pi*r)*h
V/(4*pi*r)=h
so h=V/(4*pi*r)

8 0

3 years ago