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3 years ago

What is the area of DEF shown in the figure?

Mathematics

1 answer:

Alinara [238K]3 years ago

8 0

I think you forgot to post the figure because i do not see any sort of figure.

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Dave spent 21 minutes completing a race. He walked 9 minutes and jogged the rest. What

nasty-shy [4]

Dave jogged for 9 minuets and walked for 12 minuets

6 0

2 years ago

How many different outcomes are possible from rolling a six sided cube four times

Marianna [84]

Answer:

1296 different outcomes

Step-by-step explanation:

Each cube has 6 possible values (from 1 to 6), and for each additional cube rolled, we have 6 more possible values, and the final number of different outcomes is the product of all the number of possible values for each cube.

So, if we roll the cube four times, the total number of different outcomes is:

6 * 6 * 6 * 6 = 1296

We have 1296 different outcomes from rolling the six sided cube four times.

7 0

3 years ago

Which of the following expressions can be used to find the perimeter of a rectangle?

morpeh [17]

Answer:

2l + 2w. l+l+w+w. l+l+2w. 2(l+w)

5 0

3 years ago

The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,

tensa zangetsu [6.8K]

We have the following data set:

2,7,15,3,12,9,15,8,3,10

The range is the difference between the highest and lowest values in the set, to find the range, order the data set from least to greatest.

2,3,3,7,8,9,10,12,15,15

Then,

$\begin{gathered} \text{Range}=15-2 \\ \text{Range}=13 \end{gathered}$

Mean is represented by the following expression:

$\text{Mean}=\frac{\text{Sum of all data points}}{Number\text{ of data po}ints}$ $\text{Mean}=\frac{84}{10}=8.4$

Population variance formula looks like this:

$\begin{gathered} \sigma^2=\frac{\sum^{}_{}(x-\mu)^2}{N} \\ \text{where,} \\ \sigma^2=\text{population variance} \\ \sum ^{}_{}=addition\text{ of} \\ x=\text{each value} \\ \mu=population\text{ mean} \\ N=\text{ number of values in the population} \end{gathered}$

Then, substituting:

$\begin{gathered} \sigma^2=\frac{(2-14)^2+(3-14)^2+\cdots+(15-14)^2}{10} \\ \sigma^2=20.44 \end{gathered}$

For the standard deviation:

$\begin{gathered} s=\sqrt[]{\frac{\sum ^{}_{}(x-\mu)^2}{N}} \\ s=4.521 \end{gathered}$

5 0

1 year ago

Plz help me with this questions and show working out thanks

Paraphin [41]

Answer: The steps and answers to the first two are below but you need to understand slope = change in y / change in x = y2 - y1/ x2 - x1

And you need to understand y = mx + c

m= slope c is y intercept

Substitute either point given - only use one as the x and y and find c

Step-by-step explanation:

1. You need to follow the steps -

the point is given as (2,5) = (x,y)

So what this means is x =2 and y =5

Simple substitutions is the step 5 = 3 x 2 + c

5 = 6 + c or easier to see is c + 6 =5

subtract 6 from both sides c + 6 = 5

-6 -6

__________________

c = -1

x1,y1 x2,y2

( 3,2) and (5,6) are two points on the line

you already calculate the slope which is m = noy2-y1/x2-x1 = 6-2/5-3 = 4/2 = 2

Remember y= mx + c

y = 2 x + c

now substitute in (3,2) which is (x1, y1) into the x and y in your equation

2 = 2 (3) + c

2 = 6 + c

subtract 6 from both sides

-4 = c

Now you should use this and do your last question yourself

5 0

2 years ago