Answer:
Your score would be higher than 97.72% of adults, that is, higher than approximately 98% of adults.
Step-by-step explanation:
When the distribution is normal, we use 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:
If you scored 130, your score would be higher than approximately what percent of adults?
To find the proportion of scores that are lower than, we find the pvalue of Z when X = 130. So
has a pvalue of 0.9772
0.9772*100 = 97.72%.
Your score would be higher than 97.72% of adults, that is, higher than approximately 98% of adults.
Answer:
112
Step-by-step explanation:
Take away 2345 from 2233
Answer:
a) distance covered by hare d1 = 8t
b) distance covered by tortoise d2 = 5t + 550
c) ∆d = 550 - 3t
Step-by-step explanation:
Given;
Speed of hare u = 8m/s
Speed of tortoise v = 5 m/s
Initial distance of tortoise d0 = 550 m
a) using the equation of motion;
distance covered = speed × time + initial distance
d = vt + d0
For hare;
d0 = 0
Substituting the values;
d1 = 8t + 0
d1 = 8t
b)using the equation of motion;
distance covered = speed × time + initial distance
d2 = vt + d0
For tortoise;
d0 = 550m
Substituting the values;
d2 = 5t + 550
d2 = 5t + 550 m
c) the number of meters the tortoise is ahead of the hare.
∆d = distance covered by tortoise - distance covered by hare
∆d = d2 - d1
Substituting the values;
∆d = (5t + 550) - 8t
∆d = 550 - 3t
Answer:
part one:
6 3
22 1
30 0
part two:
0.50*s+4*a=15
Step-by-step explanation:
part one:
firstly:
6 individual songs cost 6*0.50= 3 dollars
she has 15 dollars so after downloading 6 individual songs that cost 3 dollars together
it means that she has only 15-3=12 dollars to download full albums
so 12/4=3 albums
because 4 dollar cost one album and with 12 dollars she can buy just 3 albums
secondary:
she downloaded 1 album
and one album cost 1*4=4 dollars
she has 15 dollars ,after buying 1 album
she has 15-4=11 dollars
so she can download 11/0.50=22 individual songs
so she can download 22 individual songs.
the last one:
she downloaded 30 individual songs
that all together cost 30*0.50=15 dollars
but she has 15 dollars at all so she cant buy any album because she spent all her money in individual songs.
because 15-15=0 money left
part two:equation
0.50*s+4*a=15
Answer:
- 150 short-sleeved shirts
- 100 long-sleeved shirts
Step-by-step explanation:
Let S and L represent the numbers of short- and long-sleeved shirts ordered.
The expected earnings were ...
5S +10L = 1750
The number sold was ...
(1/3)S + (1/2)L = 100
We can multiply the first equation by 1/5 and the second equation by 6 to put the equations into standard form:
Subtracting the second equation from twice the first gives ...
2(S +2L) -(2S +3L) = 2(350) -(600)
L = 100 . . . . . . simplify
2S +3(100) = 600
S = 150
150 short-sleeved and 100 long-sleeved shirts were ordered.