Ask question

Ask question

All categories

2 years ago

12

There are 24 basketball teams competing in a tournament. After each round half the teams are eliminated. This situation can be m

odeled by the function

1 answer:

BaLLatris [955]2 years ago

3 0

Answer:

b(x)=24(1/2)x

Step-by-step explanation:

You might be interested in

What are the solutions to the quadratic equation below?

Luden [163]

Using factorization method;

x²+13x+40=0

x²+13+40

Find two numbers that you can add together to give the co-efficient of variable x. (I.e 13 for this question). Also, you'll find two numbers that you can multiply with each other to give you the whole number as an answer. (I.e 40 in this question). The two numbers must be the same (i.e the two numbers that will be added to give the co-efficient of x and the two numbers that will be multiplied to give the whole number must be the same two).

The two numbers are +5 and +8

The equation will therefore be = x²+5x+8x+40

You'll then factorize (I.e use a common factor of both values to bracket them)

x(x+5)+8(x+5)

(x+8)(x+5)

x is therefore (x+8=0) or (x+5=0)

x=(x=0-8) or (x=0-5)

x= -8 or x= -5

5 0

1 year ago

Suppose that Upper X has a discrete uniform distribution f left-parenthesis x right-parenthesis equals StartLayout left-brace1st

emmasim [6.3K]

Answer:

the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

Step-by-step explanation:

Given the data in the question;

x f(x) xp(x) x²p(x)

1 1/3 0.33333 0.33333

2 1/3 0.66667 1.33333

3 1/3 1.00000 3.0000

∑ 2.0000 4.6667

∑(xp(x)) = 2

∑(x²p(x)) = 4.6667

Variance σ² = ∑(x²) - ∑(x)² = 4.6667 - (2)² = 4.6667 - 4 = 0.6667

standard deviation σ = √variance = √0.6667 = 0.8165

Now since, n = 33 which is greater than 30, we can use normal approximation

for normal distribution z score ( x-μ)/σ

mean μ = 2

standard deviation = 0.817

sample size n = 33

standard of error σₓ = σ/√n = 0.817/√33 = 0.1422

so probability will be;

p( 2.1 < X < 2.4 ) = p(( 2.1-2)/0.1422) < x"-μ/σₓ < p(( 2.4-2)/0.1422)

= 0.70 < Z < 2.81

= 1 - ( 0.703 < Z < 2.812 )

FROM Z-SC0RE TABLE

= 1 - ( 0.25804 + 0.49752 )

= 1 - 0.75556

p( 2.1 < X < 2.4 ) = 0.2444

Therefore, the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

7 0

3 years ago

Explain how would you name a sorting rule for 1 square, 1 rectangle , and 1 triangle .

Tanzania [10]

Lines of symmetry if the triangle is isosceles.
4, 2, 1

7 0

3 years ago

Four subtracted from twice a number is two. what is the number

EastWind [94]

Answer: 3

Step-by-step explanation:

First, we will write a mathematical equation for the phrase given.

-> Let n be "a number"

four subtracted from twice a number is two

four subtracted from twice a number = 2

(twice a number) - 4 = 2

2n - 4 = 2

Now, we will solve this equation by isolating the variable.

2n - 4 = 2

2n = 6

n = 3

<em>Read more about </em><em>algebraic equations </em><em>here:</em>

<em>brainly.com/question/27791850</em>

8 0

2 years ago

Mr. Jamison deposited $100 into a new savings account on January 1. On the first day of each month thereafter, he deposited thre

Lera25 [3.4K]

Answer:

$36 400

Step-by-step explanation:

Step 1

The first step is to figure out how much money is saved at the end of each month for the period from January 1 to June 15. The amount deposited at the end of each month is obtained by multiplying the amount from the previous month by 3.

The amount deposited in January is $\$100.$

The amount deposited in February is $1\$00\times 3= \$300.$

The amount deposited in March is $\$300\times 3= \$900.$

The amount deposited in April is $\$900\times 3= \$2\700.$

The amount deposited in May is $\$2\,700\times 3= \$8\,100.$

The amount deposited in June is $\$8\,100\times 3= \$24\,300.$

Step 2

The next step is to add up all the money that was deposited into the account. This calculation is shown below,

$\$100+\$300+900+\$\$2\,700+\$8\,100+\$24\,000=\$36\,400$

5 0

2 years ago

Read 2 more answers