Answer:
5:5 (first box, pencils to pens)
7:3 (second box, coloured pencils to crayons)
The probability of picking a pen (1st box): 5/10
The probability of picking a crayon (2nd box): 3/10
Probability of picking both: 5/10*3/10 = 15/100
Answer:
2
Step-by-step explanation:
<u>Since it is AP, the common difference is same for any term:</u>
- (4x - 2) - (x + 1) = (6x - 3) - (4x - 2)
- 3x - 3 = 2x -1
- 3x - 2x = 3 - 1
- x= 2
<u>The first 3 terms are:</u>
<u>Since the last term is 18, it means this AP has 6 terms:</u>
<u>Answer: </u>as we need to find the value of x only, it is = 2
Answer:
Option C.
Step-by-step explanation:
Sampling bias is a problem during the initial data gathering step of a survey.
When the first step is wrong, then the survey cannot produce non biased results.
The problem occurs when the design of the study is wrong the data collection procedure is wrong.
So, here answer seems C, because the starting point is not selected at random in this survey.
(C) Jean wants to estimate the mean amount of money spent on clothes per week by mall shoppers. She collects data from every 10th person entering a clothing store at the mall.
The unit rate will be in revolutions per second. That means divide number of revolutions by number of seconds.
first convert from mixed fraction.
6 2/5 = 32/5 revolutions
2 2/3 = 8/3 seconds
32/5 ÷ 8/3
flip multiply
32/5 × 3/8 = 12/5 revolutions per second
12/5 = 2 2/5 revolutions per second
Answer:
The answers are;
m = 9, e = 9
Step-by-step explanation:
The question relates to right triangles with special properties;
The given parameters of the given right triangles are;
The measure of an interior angle of the triangle = 45°
The length of the given leg length of the triangle = (9·√2)/2
The length of the other leg length of the triangle = n
The length of the hypotenuse side = m
A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal
Therefore;
The length of the other leg of the right triangle = n = The length of the given leg of the triangle = (9·√2)/2
∴ n = (9·√2)/2
n = (e·√f)/g
Therefore, by comparison, we have;
e = 9, f = 2, and g = 2
By Pythagoras's theorem, we have;
m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9
m = 9.
