Answer:
x = 13
Step-by-step explanation:
3x + 2x + 5 = 60
5x + 5 = 60
5x = 65
x = 13
Probaility in general is defined as the ratio of positive outcomes over the total number of outcomes.
In the first example, the total outcomes are 16; let us count the positive ones. There are 8 even numbers from 1-16. The prime numbers are 2,3,5,7,11,13. Out of those, only 5 are odd. Hence, in total there are 13 positive outcomes. Thus, the probability is 13/16=81.25%
Let's restrict the problem to the students that studied for the exam; the proportion is 0.57 of the total students. 0.52 of the total students studied and saw an increase in their exam. Hence, the probability that a student who studied saw an increse is 0.52/0.57 (here a positive outcome is the proportion that saw an increase and the total outcomes are all the students that studied). 0.52/0.57=91.22%
Answer:
Kindly check explanation
Step-by-step explanation:
Calculate the 25th, 50th, and 75th percentiles.
b. Calculate the interquartile range.
c. Construct a boxplot. Are there any outliers?
Reordered data:
25, 40, 52, 55, 60, 70, 70, 72, 74, 75, 75, 80, 80, 85, 85, 86, 87, 90, 92, 99
25 th percentile :
1/4 (n + 1)th, tetm
n = 20
1/4(21) = 5.25th term
(5 + 6) th term / 2
= 65
50th percentile :
1/2 (n + 1)th, tetm
n = 20
1/2(21) = 10.5th term
(10 + 11) th term / 2
= 75
75th percentile:
3/4 (n + 1)th, tetm
n = 20
3/4(21) = 15.75th term
(15 + 16) th term / 2
= 85.5
Interquartile range :
Q3 - Q1
75th percentile - 25th percentile
85.5 - 65
= 20.5
25 is an Outlier
Answer:
B.12 ounces
Step-by-step explanation:
step 1
Find out the ounces of orange juice concentrate used yesterday
Let
x ----> ounces of orange juice concentrate used yesterday
y ---> ounces of water used yesterday
we know
that
----> equation A
----> equation B
substitute equation B in equation A
solve for x
step 2
today she wants to make twice as much orange juice.
To find out how much orange juice concentrate she needs, multiply the ounces of orange juice concentrate used yesterday by 2
so
8.8 squared + 9.5 squared = square root 12.94 rounded 12.1
