When four basketball players are about to have a​ free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical​ order? Assume each player has a different name.

​P(shoot free throws in alphabetical ​order) = _____

Answer:

The center of given circle is X.

Step-by-step explanation:

Given : Circle .

To find: Which point is the center of the circle?

Solution : The diameter of a circle subtends a right angle to any point on the circle is called center of circle .

Therefore, The center of given circle is X.

Answer:

Hence, point X is the center of the circle.

Step-by-step explanation:

We are given a circle.

We have to find the center of a circle.

Circle: It is the set of points in a plane which are equidistant from a particular point called the center of the circle.

As we can see all the points of a circle are equidistant from point X

Hence, point X is the center of the circle.

Hence, correct option is:

B. point X

The no. of people own computer in 2015 are 92.0953 million.

The interest charged on a loan or deposit is known as compound interest. In our day-to-day lives, it is the concept we use the most. The amount's compound interest is based on both the principal and the interest earned over time. This is the primary distinction between simple and compound interest.

Given annually increase rate of computers = R =  23.2%

people own computer in 1990 = 1/2 million = 0.5 million

let no. of people own computer in 2015 be x

compound interest for annually increase in rate is p[tex](1 + R/100)^{t}[/tex]

where t = time and R = rate

Time = 2015 - 1990 = 25 years

x = 0.5(1 + 23.2/100)²⁵

x = 0.5(1.232)²⁵

x = 0.5 × 184.1906

x = 92.0953 million

Hence 92.0953 million people own computer in 2015.

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He needs to sell $400,000 worth of goods.

Base salary = $30000

Percent Commission = 5%

Let the amount of goods that need to be sold be represented by x

Therefore, the equation will be:

30000 + (5% × x) = 50000

30000 + (0.05 × x) = 50000

30000 + 0.05x = 50000

Collect like terms

0.05x = 50000 - 30000

0.05x = 20000

x = 20000/0.05

x = 400000

Therefore, he needs to sell $400,000 worth of goods.

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Answer:

D inverse property

Step-by-step explanation:

x=1+2i

y=-1-2i

Both x and y are complex numbers with both real and imaginary parts.

x+y = (1+2i) + (-1-2i)

= 1 + 2i - 1 - 2i

= (1 - 1) + (2i-2i)

= 0 + 0 = 0

Since the two given complex numbers add up to 0, this means that each number is the additive inverse of the other.

So x is the inverse of y and y is the inverse of x.

Among the given options, option D , namely, inverse property is the correct one.

Answer:

5.5

Step-by-step explanation:

Answer:

Lexi will use [tex]\frac{5}{6}[/tex] pounds of seeds.

Step-by-step explanation:

Lexi has planted seeds in [tex]\frac{3}{5}[/tex] of the garden. We know that to plant that part she used [tex]\frac{1}{2}[/tex] pound of seeds.

The entire garden is [tex]\frac{5}{5}=1[/tex].

Then if you multiply [tex]\frac{1}{2}[/tex] in [tex]\frac{5}{5}=1[/tex] and then divide the result in [tex]\frac{3}{5}[/tex] you will obtain how many pounds will she use for the entire garden. (It's a rule of three)

[tex](1).\frac{1}{2} :\frac{3}{5}=\frac{1}{2} :\frac{3}{5}=\frac{5}{2.3}=\frac{5}{6}[/tex]

Lexi will use [tex]\frac{5}{6}[/tex] pounds of seeds.

Answer:

$5,000 in sales

Step-by-step explanation:

dividing the annual salary by 12 to find how much she makes in a month:

48,000/12 = $4,000

If she wants to make $6,000 this month, she needs

6,000 - 4,000 = $2,000 in comissions

$2,000 is the 4% of how much she made in sales.

denoting the total of sales by x:

4%x = 2,000

---> 0.04x = 2,000

this makes x = 2,000/0.04

--> x = $50,000

So to get a moth salary of $6,000 she needs to have $5,000 in sales

from the problem m = 1/2

point slope =

y -2 = 1/2(x+8)

area is 8*10 = 80 ( Area of square formed by dotted line)

 1/2 *4 * 10 = 20 (Area of small triangle formed by dotted line)

20 +80 = 100 square inches

Final answer:

If x doubles and y is inversely proportional to x, then y will become half of its original value, as per the inverse proportionality relation y = k/x.

Explanation:

When variables y and x are inversely proportional, this means that as one value increases, the other value decreases. The relationship between y and x in this case is represented by the equation y = k/x, where k is the proportionality constant. If the value of x doubles, looking at the relationship expressed by the inverse proportionality equation, the value of y will decrease by half.

So, if x becomes 2x, then y becomes k/(2x), which is half the value of the original y if we assume that k is constant. This is reflective of the more-less relationship inherent to inverse proportionality, where increased values of one variable lead to decreased values of the other.

We are given a parent function f(x) as:

       [tex]f(x)=\dfrac{1}{x}[/tex]

and the transformed function g(x) is given by:

       [tex]g(x)=\dfrac{1}{x+4}-6[/tex]

We know that the transformation of the type:

     f(x) → f(x+a)

is either a shift a units to the left or to the right depending whether a is positive or negative respectively.

Also, the transformation of the type:

   f(x) → f(x)+a

is the shift of the function f(x) either upward or downward depending on whether x is positive or negative respectively.

Here the function g(x) is:

     [tex]g(x)=f(x+4)-6[/tex]

This means that the function g(x) is a shift of the function f(x) 4 units to the left and then it is translated 6 units downward.

Also we may see by the graph.

Answer: [tex]-2\dfrac{1}{10}[/tex]

Step-by-step explanation:

The given expression to simplify : [tex]5\dfrac{1}{4}\div-2\dfrac{1}{2}[/tex]   (i)

First we convert mixed fraction into improper fraction as :

[tex]5\dfrac{1}{4}=\dfrac{5\times4+1}{4}=\dfrac{20+1}{4}=\dfrac{21}{4}[/tex]

[tex]-2\dfrac{1}{2}=-\dfrac{2\times2+1}{2}=-\dfrac{4+1}{2}=\dfrac{-5}{2}[/tex]

Now , put them in (i) , we get

[tex]\dfrac{21}{4}\div\dfrac{-5}{2}[/tex]

[tex]=\dfrac{21}{4}\times\dfrac{-2}{5}=\dfrac{-21}{10}=-\dfrac{20+1}{10}=-2\dfrac{1}{10}[/tex]

Hence, the required answer is [tex]-2\dfrac{1}{10}[/tex].

Answer:true

Step-by-step explanation:

Answer:

441 cm

Step-by-step explanation:

3^4 = 3*3*3*3 = 81

3^2 = 3*3 =9

81/9 = 9

 Answer is B. 9