A number that can add up to 10 and multiplies to 11 is 1 since 11 is a prime number
Answer:
7/8
Step-by-step explanation:
1 + 4x = 8 - 4x
8x = 7
x = 7/8
The idea is that one variable is the effect of another variable or, to say it another way, that one variable precedes and/or causes another. The dependent variable is the variable to be explained (the 'effect”). The independent variable is the variable expected to account for (the “cause” of) the dependent variable.
Answer:
The reason why standard deviation of the entire class is greater than standard deviation of males and females considered separately, is that mean values for males and females are different from each other.
Step-by-step explanation:
The concept of mean is well represented by the following formula
mean = , where x1, x2, xn are the observations and N is the number of observations (population).
Standard deviation represents the distance between each observation and the mean of the population (all observations). The formula for this parameter is:
Standard deviation =√[((x1 - x)² + (x2-x)² + ....+ (xn-x)²)/N-1], where x1, x2,..., xn are the observations and x is the mean value.
In this case you have that each height registered is an observation and the number of observations represents the N value. As you can see if the mean for males is different from that of females their standard deviation will be different too. Usually males have heigths greater than that of females (1.77 vs 1.64, in USA for example), and heights inside each group will be more similar than between groups. Then, when you mix all observation there will be an increase in standard deviation, because you are mixing very different heigths
The probability of you picking 7 is 1/4 because there are 4 cards, and the probability of getting a card greater than 7 would be 2/3 (if you already picked 7) if not it would be 2/4, but I’m assuming it mean that you picked seven and now you’re trying to pick a higher card so i would go with 2/3