Answer:
2 19/5
Step-by-step explanation:
4 7/9 ÷ 1 7/12
<em>start by turning them into improper fraction by multiplying the denominator to the whole number and adding the product to the numerator , you will get :</em>
42/9 ÷ 17/12
42/9 * 12/17 <em>( reciprocal )</em>
42/3 * 4/17 <em>(9 and 12 can be cut smaller because both are in 3's table)</em>
= <u>172/51</u>
turn this into mixed fraction by -
<em>Divide the numerator by the denominator.
</em>
<em>Write down the whole number answer
</em>
<em>Then write down any remainder above the denominator</em>
you will get = <u>2 19/5</u>
101, 102, 100, 100, 110, 109, 109 ,108, 109 average to 105.3
subtracting the mean from each number yields the below-
-4,-3,-5,-5,5,4,4,3,4
Squaring each number gives-
16,9,25,25,16,16,9,16
The average of these numbers is 12.89 to two decimal places, so your variance is 12.89
Answer:
<em>There were 204 ladies and 136 gentlemen in the conference</em>
Step-by-step explanation:
Let's set the variables:
L = number of ladies in the conference
G = number of gentlemen in the conference
We know 340 people participated in the conference, thus:
L + G = 340 [1]
We are also given the ratio of ladies and gentleman as 3:2, thus:
L/G = 3/2
Cross-multiplying:
2L = 3G [2]
From [1]:
L = 340 - G
Substituting in [2]:
2(340 - G) = 3G
Operating:
680 - 2G = 3G
5G = 680
G = 680/5 = 136
G = 136
L = 340 - 136 = 204
L = 204
There were 204 ladies and 136 gentlemen in the conference
We have to determine which value is equivalent to | f ( i ) | if the function is: f ( x ) = 1 - x. We know that for the complex number: z = a + b i , the absolute value is: | z | = sqrt( a^2 + b^2 ). In this case: | f ( i )| = | 1 - i |. So: a = 1, b = - 1. | f ( i ) | = sqrt ( 1^2 + ( - 1 )^2) = sqrt ( 1 + 1 ) = sqrt ( 2 ). Answer: <span>C. sqrt( 2 )</span>
Answer: Points are not following a straight-line pattern
Step-by-step explanation:
