Answer:
D. 15
Step-by-step explanation:
Let the missing length be represented as x.
Thus:
(24 - x)/12 = x/20 => angle bisector theorem
Cross multiply
20(24 - x) = x(12)
480 - 20x = 12x
480 - 20x + 20x = 12x + 20x
480 = 32x
480/32 = 32x/32
15 = x
Missing length = x = 15
The value of given expression is: 3
<h3>What is exponents and powers?</h3>
Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times.
9*(15)³/45 *
/9
= 3²* 3³*5³/5² * 3² * 3² * 5
= 
= 3*1
=3
Learn more about exponents and power here:
brainly.com/question/15722035
#SPJ1
Answer: 3/4 is the answer
Answer:
You can use the scale factor to determine if a picture is an enlargement if the scale factor is greater than 1. If it is less than 1 like 0.9 then the picture would be a reduction because you would be multiplying the number by a number smaller than 1. Now if we have a scale factor greater than 1 let's say 3. Then the picture would be an enlargement because the number is greater than 1.
Step-by-step explanation:
Answer: 0.0170
Step-by-step explanation:
Given : The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00.
i.e. 

We assume the distribution of amounts purchased follows the normal distribution.
Sample size : n=50
Let
be the sample mean.
Formula : 
Then, the probability that the sample mean is at least $25.00 will be :-

Hence, the likelihood the sample mean is at least $25.00= 0.0170