# A soccer team wins 65% of its matches, and 15% of its matches end in a draw. If the team is scheduled to play 20 matches, about how many matches is it expected to lose?

Answer:  There are 4 matches that are expected to lose by a soccer team.

Step-by-step explanation:

Since we have given that

Probability that a soccer team wins = 65%

Probability that a soccer team ends in a draw = 15%

Total probability we get

Probability that matches are expected to lose is given by

Since number of matches is scheduled to play = 20

Number of matches expected to lose is given by

Hence, there are 4 matches that are expected to lose by a soccer team.

Answer: If it wins 65% and draws 15%, it loses the remaining 20%. Therefore, it is expected to lose 20%*20=4 matches.

## Related Questions

Which of the functions have a range of all real numbers? Check all that apply. A. y = sec x
B. y = tan x
C. y = cot x
D. y = csc x

B. y = tan x  and  C. y = cot x

Step-by-step explanation:

Range:

range is defined as the set of values that any given function y=f(x), can take for which the x values are defined. It is the value that y can take for the values of x.

Given:

From the given options

the range of tanx and cotx are all real numbers

as the period of tanx and cotx are π

where as range of secx is all real numbers except π/2 + n*π i.e.

(-∞ , -1] U [1 , + ∞)

And range of cscx is all real numbers except n*π i.e.

(-∞ , -1] U [1 , + ∞)

So from the given option:

option B and C are correct while A and D are not !

Hello!

The answer is:  The correct options are B. Tan(x) and C. Cot(x)

Why?

The range is the output of a function when we evaluate the function with inputs (domain), not all functions have a range of all real numbers, however it's more common to find functions without range or domain restrictions.

Both options B. Tan(x) and C. Cot(x) have a range of all real numbers while the functions Sec(x) and Csc (x) have a restricted range.

Sec(x) and Csc(x):

Domain, all real numbers.

Range, from -1 to 1 or  [-1,1]

Tan(x) and Cot(x):

Domain, all real numbers except

Range, all real numbers.

Hence, the correct options are B. Tan(x) and C. Cot(x)

Have a nice day!

Jamal uses the steps below to solve the equation 6x – 4 = 8. Step 1: 6x – 4 + 4 = 8 + 4
Step 2: 6x + 0 = 12
Step 3: 6x = 12
Step 4: =
Step 5: 1x = 2

Step 6: x = 2

Which property justifies Step 3 of his work?

A). the addition property of equality
B). the identity property of addition
C). the multiplication property of equality
D). the identity property of multiplication

The multiplication property of equality justifies Step 3 to reach step4 of Jamal's work to solve the equation 6x – 4 = 8.

What is equation?

" Equation is defined as the algebraic expression which represents the relation between two quantity with the sign of equality."

According to the question,

Given steps to solve the equation are:

Step 1: 6x – 4 + 4 = 8 + 4

Step 2: 6x + 0 = 12

Step 3: 6x = 12

For step 4 , we have multiply both the side of the equation  by  we get,

Step 3: 6x = 12

Step 4: =

Step 5: 1x = 2

Hence, Option(C) is the correct answer.

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B.)  because according to the identity property of addition, any number added to zero will remain the same.

A bottle of wine known as a magnum contains a volume of 1.5 liters. a bottle known as a jeroboam contains 0.792 u.s. gallons. how many magnums are there in 7 jeroboams?

For this case we must know the following conversion of units:

We calculate first the total number of gallons for 7 jeroboams:

Then, a 1.5-liter bottle is converted to gallons:

Finally, the number of magnums in 7 jeroboams is given by:

Rounding to the nearest whole number:

there are 14 magnums in 7 jeroboams

Add and simplify: 9/16 + 1/2=?*

9/16 + 1/2 =

First find the lcm of both denominators
16 2
32 4
48 6
8
10
12
14
16

You choose the lowest one that 16 and 2 will divide into = 16. 1/2 = 8/16.
So your sum is 9/16 + 8/16 = 17/16
You simplify this fraction to become 1 1/16.