What is the percent of 3/4

Christina collected information about the ages of the players on her softball team. The ages were 10, 12, 14, 13, 12, 11, 13, 12

BARSIC [14]

We are told that Christina collected information about the ages of the players on her softball team. The ages were 10, 12, 14, 13, 12, 11, 13, 12, 11, 12, 12, and 13. Christina wants to describe the players’ ages in an article for the school newspaper.

Since we know that range of a data is difference between the highest and lowest values of a data set. Range of our data set will be 4 (14-10). A group of different ages could have same range as Christina's data set. So range will be not a good option.

A measure of central tendencies will be better option to represent information about ages of softball team players. Mean will give the average age of softball players.

$\text{Mean age of players}=\frac{10+11+11+12+12+12+12+12+13+13+13+14}{12}$

$\text{Mean age of players}=\frac{145}{12}=12.0833$

Let us find median of data.

10,11,11,12,12,12,12,12,13,13,13,14

$\text{Median age of softball players}=\frac{12+12}{2}$

$\text{Median age of softball players}=\frac{24}{2}=12$

We can see that average of our data is 12 years.

Therefore, a measure of central tendency will be better choice to describe ages of softball players.

7 0

3 years ago

If your mom only has half a gallon left will she make it to the nearest gas station 26 miles away

Svetach [21]

Answer:

Depends how much is half a gallon in her car

usally a car has 100+ space for gallons

if she has any less than 50 gallons max

she won’t make it

so she probley will if she has more than 26 gallons of gas at half a tank

7 0

3 years ago

Solving Exponential and Logarithmic Equations In Exercise, solve for x. 2 In x + In(x - 2) = 0

Pani-rosa [81]

Answer:

The value of x is about 2.206.

Step-by-step explanation:

Consider the given equation is

$2\ln x+\ln (x-2)=0$

We need to find the value of x.

Using the properties of logarithm we get

$\ln x^2+\ln (x-2)=0$ $[\because \ln a^b=b\ln a]$

$\ln (x^2(x-2))=0$ $[\because \ln (ab)=\ln a+\ln b]$

$\ln (x^2(x-2))=ln 1$ $[\because \ln 1=0]$

On comparing both sides we get

$x^2(x-2)=1$

$x^3-2x^2=1$

Using graphing calculator, the real solution of the above equation is

$x\approx 2.206$

Therefore, the value of x is about 2.206.

6 0

3 years ago

Two classes have a total of 50 students. One of the classes has 6 more students than the other. How many students are in the lar

Ivahew [28]

Let's say 'x' to number of the students in the smaller class. Since the larger one is 6 more than the smaller one, its number would be 'x+6'. So their sum is equal to

$x+x+6=2x+6$ and we know total is 50 so:
$2x+6=50\\ 2x=50-6\\ 2x=44\\ x=\frac { 44 }{ 2 } \\ x=22$

x is 22 so the larger number 'x+6' is equal to : $x+6=22+6=28$