2 is a factor of 8, and not a multiple of 4.
Answer:
6 weeks
Step-by-step explanation:
You need to write an equation for each.
For Andre, he has 100 dollars, and every week gets 5 dollars more. You add the 5 dollars, and Since you don't know how many weeks it has been, use a variable.
For Elena, she has 10 dollars, and gets 20 each week.
Now that you know that it has been 4 weeks, you can plug in 4 for the variable for weeks.
Andrew:100+5(4)=100+20+120
Elena: 10+20(4)=10+80=90
Andrew has more money in this time.
To find when they have the same amount, equal their expressions to each other. This means that they will have the same amount (because they are equalled) and you can solve to find the variable, which means the weeks that they are equal at.
Bring the like terms to each side by canceling them out. Since you have positive 10, then subtract 10 to each side. You have 5w, so subtract 5w to each side.
100+5w=10+20w
90+5w=20w
90=15w
90 divided by 15=6
w=6
Answer:
x = 5
Step-by-step explanation:
vertical angles are equal so we can write this equation:
2x-4 = x+1
x - 4 = 1
x = 5
Answer:
a) 0.7734
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
(a) what proportion of children aged 13 to 15 years old have scores on this test above 83 ?
This is 1 subtracted by the pvalue of Z when X = 83. So
has a pvalue of 0.2266
1 - 0.2266 = 0.7734
The answer is 0.7734
