The converse of the statement would be
"If x ≤ 7, then x² ≤ 49"
but this is false. Take x = -8; while it's true that -8 ≤ 7, the second inequality is not, since (-8)² = 64 is not smaller than 49.
Hi there,
I’m attaching the same image with more information on the graph.
The 4th mark (the middle dashed line) is marking the mean (70).
The 3rd and the 5th are marking the mean less/plus 1 deviation.
So, 70.5 is the 5th mark.
Taking this into account:
The probability of selecting a container that has less than 70.5 is 0.1% + 2.2% +13.6% 34.1% + 34.1% = 84.1%
The probability of choosing more than 70,5 = 13.6% + 2.2% +0.1% = 15.9%
Good Luck!
1) ANSWER: 1/2, 50%
2) 9+3+4 = 16 4/16 = (1/4, 25%) ANSWER: 1/4, 25%
{Put 4 over 16, because 16 is the total, 4 is the amount of white marbles}
3) ANSWER: 2/3, roughly 66.6%
4) 5+3+2+5 = 15 , 3+2 = 5, 5/15 = 1/3, roughly 33.3%
{Add the total amount of pennies, dimes, nickels, and quarters, and find how many Dimes and Nickels there are combined, put that over the total, simplify}
ANSWER: 1/3, 33.3%
5) , if it’s asking a number 1 card it would be 4/52 = 1/13 = roughly 8% , if it’s asking just one card from the whole deck then 1/52, roughly 2% ANSWER: 1/13, 8% OR 1/52, 2%
6) 6+7+9+15 = 37, 15/37 {Yellow over total amount of m&m’s} Roughly 41%
ANSWER: 15/37, 41%
7) 2+5+8+3= 18 - 8 = 10, 10/18, roughly 55.5%
{It says that’s NOT green, so add up all them, and subtract the green ones, take that number over the total, and that’s your answer} ANSWER: 5/9, 55.5%
8) 11 letters in the world PROBABILITY, 4 vowels, 4/11, roughly 36% ANSWER: 4/11, 36%
9) 4& 6 are two numbers, that’s 6 - 2, 2/3, ANSWER 2/3, 66.6%
Hope this helps.
The given data of the problem are 42 combined dvds from Carly and Rob and Carly having 4 more dvds than Rob. Now, the problem wants to find out how many dvds did Rob and Carly owned before combining them. We got a total of 42 dvds at hand, so let's divide it by 2 for Carly and Rob so we have 21 dvds each however, the problem emphasized that Carly had 4 more dvds than Rob. So, 21 dvds added by 4 dvds is the total number of dvds that Carly previously owned meaning Carly owned 25 dvds before while Rob owned only 17 dvds.